0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.155 * * * [progress]: [2/2] Setting up program. 0.159 * [progress]: [Phase 2 of 3] Improving. 0.159 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.160 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.160 * * [simplify]: iters left: 6 (17 enodes) 0.165 * * [simplify]: iters left: 5 (70 enodes) 0.179 * * [simplify]: iters left: 4 (126 enodes) 0.246 * * [simplify]: iters left: 3 (281 enodes) 0.349 * * [simplify]: Extracting #0: cost 1 inf + 0 0.349 * * [simplify]: Extracting #1: cost 16 inf + 0 0.350 * * [simplify]: Extracting #2: cost 28 inf + 2 0.350 * * [simplify]: Extracting #3: cost 32 inf + 86 0.350 * * [simplify]: Extracting #4: cost 96 inf + 131 0.351 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.355 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.365 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.380 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.391 * * [simplify]: Extracting #9: cost 0 inf + 50662 0.402 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 0.402 * [simplify]: Simplified (2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 0.415 * * [progress]: iteration 1 / 4 0.416 * * * [progress]: picking best candidate 0.425 * * * * [pick]: Picked # 0.425 * * * [progress]: localizing error 0.484 * * * [progress]: generating rewritten candidates 0.484 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.655 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.027 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.142 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.151 * * * [progress]: generating series expansions 1.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.151 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.151 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 1.151 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.151 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.151 * [taylor]: Taking taylor expansion of 1/4 in J 1.151 * [backup-simplify]: Simplify 1/4 into 1/4 1.151 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.151 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.151 * [taylor]: Taking taylor expansion of U in J 1.151 * [backup-simplify]: Simplify U into U 1.151 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.151 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.151 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.151 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.151 * [taylor]: Taking taylor expansion of 1/2 in J 1.151 * [backup-simplify]: Simplify 1/2 into 1/2 1.151 * [taylor]: Taking taylor expansion of K in J 1.151 * [backup-simplify]: Simplify K into K 1.151 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.152 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.152 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.152 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.152 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.152 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.152 * [taylor]: Taking taylor expansion of J in J 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.153 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.153 * [backup-simplify]: Simplify (* 1 1) into 1 1.153 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.153 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.153 * [taylor]: Taking taylor expansion of 1 in J 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.153 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.154 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.154 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.154 * [backup-simplify]: Simplify (+ 0) into 0 1.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.156 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.156 * [backup-simplify]: Simplify (- 0) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.157 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.157 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.158 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.158 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.158 * [taylor]: Taking taylor expansion of 1/4 in K 1.158 * [backup-simplify]: Simplify 1/4 into 1/4 1.158 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.158 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.158 * [taylor]: Taking taylor expansion of U in K 1.158 * [backup-simplify]: Simplify U into U 1.158 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.158 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.158 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.158 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.158 * [taylor]: Taking taylor expansion of 1/2 in K 1.158 * [backup-simplify]: Simplify 1/2 into 1/2 1.158 * [taylor]: Taking taylor expansion of K in K 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.159 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.159 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.159 * [taylor]: Taking taylor expansion of J in K 1.159 * [backup-simplify]: Simplify J into J 1.159 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.159 * [backup-simplify]: Simplify (* 1 1) into 1 1.159 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.159 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.159 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.159 * [taylor]: Taking taylor expansion of 1 in K 1.159 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.160 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.160 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.160 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.160 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.160 * [backup-simplify]: Simplify (+ 0) into 0 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.162 * [backup-simplify]: Simplify (+ 0 0) into 0 1.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.162 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.162 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.162 * [taylor]: Taking taylor expansion of 1/4 in U 1.162 * [backup-simplify]: Simplify 1/4 into 1/4 1.162 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.162 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.162 * [taylor]: Taking taylor expansion of U in U 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.162 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.162 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.162 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.162 * [taylor]: Taking taylor expansion of 1/2 in U 1.162 * [backup-simplify]: Simplify 1/2 into 1/2 1.162 * [taylor]: Taking taylor expansion of K in U 1.162 * [backup-simplify]: Simplify K into K 1.162 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.162 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.162 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.162 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.162 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.162 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.163 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.163 * [taylor]: Taking taylor expansion of J in U 1.163 * [backup-simplify]: Simplify J into J 1.163 * [backup-simplify]: Simplify (* 1 1) into 1 1.163 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.163 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.163 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.163 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.163 * [taylor]: Taking taylor expansion of 1 in U 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (+ 0 1) into 1 1.164 * [backup-simplify]: Simplify (sqrt 1) into 1 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.164 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.164 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.164 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.164 * [taylor]: Taking taylor expansion of 1/4 in U 1.164 * [backup-simplify]: Simplify 1/4 into 1/4 1.164 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.164 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.164 * [taylor]: Taking taylor expansion of U in U 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.165 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.165 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.165 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.165 * [taylor]: Taking taylor expansion of 1/2 in U 1.165 * [backup-simplify]: Simplify 1/2 into 1/2 1.165 * [taylor]: Taking taylor expansion of K in U 1.165 * [backup-simplify]: Simplify K into K 1.165 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.165 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.165 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.165 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.165 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.165 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.165 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.165 * [taylor]: Taking taylor expansion of J in U 1.165 * [backup-simplify]: Simplify J into J 1.165 * [backup-simplify]: Simplify (* 1 1) into 1 1.165 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.166 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.166 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.166 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.166 * [taylor]: Taking taylor expansion of 1 in U 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [backup-simplify]: Simplify (+ 0 1) into 1 1.166 * [backup-simplify]: Simplify (sqrt 1) into 1 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.167 * [taylor]: Taking taylor expansion of 1 in K 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [taylor]: Taking taylor expansion of 1 in J 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [taylor]: Taking taylor expansion of 0 in K 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [taylor]: Taking taylor expansion of 0 in J 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [taylor]: Taking taylor expansion of 0 in J 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.167 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.168 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.168 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.168 * [taylor]: Taking taylor expansion of 1/8 in K 1.168 * [backup-simplify]: Simplify 1/8 into 1/8 1.168 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.168 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.168 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.168 * [taylor]: Taking taylor expansion of 1/2 in K 1.168 * [backup-simplify]: Simplify 1/2 into 1/2 1.168 * [taylor]: Taking taylor expansion of K in K 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.169 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.169 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.169 * [taylor]: Taking taylor expansion of J in K 1.169 * [backup-simplify]: Simplify J into J 1.169 * [backup-simplify]: Simplify (* 1 1) into 1 1.170 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.170 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.170 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.170 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.170 * [taylor]: Taking taylor expansion of 1/8 in J 1.170 * [backup-simplify]: Simplify 1/8 into 1/8 1.170 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.170 * [taylor]: Taking taylor expansion of J in J 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (* 1 1) into 1 1.170 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [taylor]: Taking taylor expansion of 0 in J 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [taylor]: Taking taylor expansion of 0 in J 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.172 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.172 * [backup-simplify]: Simplify (+ 0) into 0 1.172 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.173 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.174 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.175 * [taylor]: Taking taylor expansion of 0 in K 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [taylor]: Taking taylor expansion of 0 in J 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.176 * [backup-simplify]: Simplify (+ 0) into 0 1.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.177 * [taylor]: Taking taylor expansion of 0 in J 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [taylor]: Taking taylor expansion of 0 in J 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [taylor]: Taking taylor expansion of 0 in J 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.178 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.178 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.178 * [taylor]: Taking taylor expansion of 1/4 in J 1.178 * [backup-simplify]: Simplify 1/4 into 1/4 1.178 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.179 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.179 * [taylor]: Taking taylor expansion of J in J 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.179 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.179 * [taylor]: Taking taylor expansion of U in J 1.179 * [backup-simplify]: Simplify U into U 1.179 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.179 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.179 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.179 * [taylor]: Taking taylor expansion of 1/2 in J 1.179 * [backup-simplify]: Simplify 1/2 into 1/2 1.179 * [taylor]: Taking taylor expansion of K in J 1.179 * [backup-simplify]: Simplify K into K 1.179 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.179 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.179 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.179 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.179 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.179 * [backup-simplify]: Simplify (* 1 1) into 1 1.180 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.180 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.180 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.180 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.180 * [taylor]: Taking taylor expansion of 1 in J 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (+ 0 1) into 1 1.180 * [backup-simplify]: Simplify (sqrt 1) into 1 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.181 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.181 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.181 * [taylor]: Taking taylor expansion of 1/4 in K 1.181 * [backup-simplify]: Simplify 1/4 into 1/4 1.181 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.181 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.181 * [taylor]: Taking taylor expansion of J in K 1.181 * [backup-simplify]: Simplify J into J 1.181 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.181 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.181 * [taylor]: Taking taylor expansion of U in K 1.181 * [backup-simplify]: Simplify U into U 1.181 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.181 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.181 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.181 * [taylor]: Taking taylor expansion of 1/2 in K 1.181 * [backup-simplify]: Simplify 1/2 into 1/2 1.181 * [taylor]: Taking taylor expansion of K in K 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.182 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.182 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.182 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.182 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.182 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.182 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.182 * [taylor]: Taking taylor expansion of 1 in K 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.182 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.183 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.183 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.183 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.183 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.183 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.184 * [backup-simplify]: Simplify (+ 0 0) into 0 1.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.184 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.185 * [taylor]: Taking taylor expansion of 1/4 in U 1.185 * [backup-simplify]: Simplify 1/4 into 1/4 1.185 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.185 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.185 * [taylor]: Taking taylor expansion of J in U 1.185 * [backup-simplify]: Simplify J into J 1.185 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.185 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.185 * [taylor]: Taking taylor expansion of U in U 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.185 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.185 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.185 * [taylor]: Taking taylor expansion of 1/2 in U 1.185 * [backup-simplify]: Simplify 1/2 into 1/2 1.185 * [taylor]: Taking taylor expansion of K in U 1.185 * [backup-simplify]: Simplify K into K 1.185 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.185 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.185 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.185 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.185 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.186 * [backup-simplify]: Simplify (* 1 1) into 1 1.186 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.186 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.186 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.186 * [taylor]: Taking taylor expansion of 1 in U 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.186 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.186 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.186 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.187 * [backup-simplify]: Simplify (+ 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.188 * [backup-simplify]: Simplify (- 0) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.189 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.190 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.190 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.190 * [taylor]: Taking taylor expansion of 1/4 in U 1.190 * [backup-simplify]: Simplify 1/4 into 1/4 1.190 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.190 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.190 * [taylor]: Taking taylor expansion of J in U 1.190 * [backup-simplify]: Simplify J into J 1.190 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.190 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.190 * [taylor]: Taking taylor expansion of U in U 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.190 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.190 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.190 * [taylor]: Taking taylor expansion of 1/2 in U 1.190 * [backup-simplify]: Simplify 1/2 into 1/2 1.190 * [taylor]: Taking taylor expansion of K in U 1.190 * [backup-simplify]: Simplify K into K 1.190 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.190 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.191 * [backup-simplify]: Simplify (* 1 1) into 1 1.191 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.191 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.191 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.191 * [taylor]: Taking taylor expansion of 1 in U 1.191 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.192 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.192 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.192 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.192 * [backup-simplify]: Simplify (+ 0) into 0 1.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.193 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.195 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.196 * [taylor]: Taking taylor expansion of 1/2 in K 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.196 * [taylor]: Taking taylor expansion of J in K 1.196 * [backup-simplify]: Simplify J into J 1.196 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.196 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.196 * [taylor]: Taking taylor expansion of 1/2 in K 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [taylor]: Taking taylor expansion of K in K 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.196 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.196 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.196 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.196 * [taylor]: Taking taylor expansion of 1/2 in J 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.196 * [taylor]: Taking taylor expansion of J in J 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.197 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.197 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.197 * [taylor]: Taking taylor expansion of 1/2 in J 1.197 * [backup-simplify]: Simplify 1/2 into 1/2 1.197 * [taylor]: Taking taylor expansion of K in J 1.197 * [backup-simplify]: Simplify K into K 1.197 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.197 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.197 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.197 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.197 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.197 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.197 * [taylor]: Taking taylor expansion of 0 in K 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [taylor]: Taking taylor expansion of 0 in J 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.198 * [taylor]: Taking taylor expansion of 0 in J 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.198 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.199 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.201 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.205 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.207 * [backup-simplify]: Simplify (+ 0 1) into 1 1.208 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.208 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.208 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.208 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.208 * [taylor]: Taking taylor expansion of 1/2 in K 1.208 * [backup-simplify]: Simplify 1/2 into 1/2 1.208 * [taylor]: Taking taylor expansion of K in K 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.208 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.208 * [taylor]: Taking taylor expansion of J in K 1.208 * [backup-simplify]: Simplify J into J 1.208 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.208 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.209 * [taylor]: Taking taylor expansion of 1/2 in J 1.209 * [backup-simplify]: Simplify 1/2 into 1/2 1.209 * [taylor]: Taking taylor expansion of K in J 1.209 * [backup-simplify]: Simplify K into K 1.209 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.209 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.209 * [taylor]: Taking taylor expansion of J in J 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.209 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.210 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.210 * [backup-simplify]: Simplify (+ 0) into 0 1.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.211 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.212 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [taylor]: Taking taylor expansion of 0 in J 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.215 * [taylor]: Taking taylor expansion of 0 in J 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (+ 0) into 0 1.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.220 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.220 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.221 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.221 * [taylor]: Taking taylor expansion of 1 in J 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.221 * [taylor]: Taking taylor expansion of 1/4 in J 1.221 * [backup-simplify]: Simplify 1/4 into 1/4 1.221 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.221 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.221 * [taylor]: Taking taylor expansion of J in J 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.221 * [taylor]: Taking taylor expansion of -1/2 in J 1.221 * [backup-simplify]: Simplify -1/2 into -1/2 1.221 * [taylor]: Taking taylor expansion of K in J 1.221 * [backup-simplify]: Simplify K into K 1.221 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.221 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.222 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.222 * [taylor]: Taking taylor expansion of U in J 1.222 * [backup-simplify]: Simplify U into U 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.223 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.223 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.223 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.223 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.224 * [backup-simplify]: Simplify (+ 1 0) into 1 1.224 * [backup-simplify]: Simplify (sqrt 1) into 1 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.225 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.225 * [taylor]: Taking taylor expansion of 1 in K 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.225 * [taylor]: Taking taylor expansion of 1/4 in K 1.225 * [backup-simplify]: Simplify 1/4 into 1/4 1.225 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.225 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.225 * [taylor]: Taking taylor expansion of J in K 1.225 * [backup-simplify]: Simplify J into J 1.225 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.225 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.225 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.225 * [taylor]: Taking taylor expansion of -1/2 in K 1.226 * [backup-simplify]: Simplify -1/2 into -1/2 1.226 * [taylor]: Taking taylor expansion of K in K 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.226 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.226 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.226 * [taylor]: Taking taylor expansion of U in K 1.226 * [backup-simplify]: Simplify U into U 1.226 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.226 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.226 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.226 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.227 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.227 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1.227 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.227 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.227 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 1.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.229 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.229 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.229 * [taylor]: Taking taylor expansion of 1 in U 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.229 * [taylor]: Taking taylor expansion of 1/4 in U 1.229 * [backup-simplify]: Simplify 1/4 into 1/4 1.229 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.229 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.229 * [taylor]: Taking taylor expansion of J in U 1.229 * [backup-simplify]: Simplify J into J 1.229 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.229 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.229 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.229 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.229 * [taylor]: Taking taylor expansion of -1/2 in U 1.229 * [backup-simplify]: Simplify -1/2 into -1/2 1.229 * [taylor]: Taking taylor expansion of K in U 1.229 * [backup-simplify]: Simplify K into K 1.229 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.229 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.229 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.229 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.229 * [backup-simplify]: Simplify (- 0) into 0 1.229 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.229 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.229 * [taylor]: Taking taylor expansion of U in U 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.230 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.230 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.230 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.230 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.230 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.230 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.230 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.231 * [backup-simplify]: Simplify (+ 0) into 0 1.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.232 * [backup-simplify]: Simplify (- 0) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.233 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.233 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.234 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.234 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.234 * [taylor]: Taking taylor expansion of 1 in U 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.234 * [taylor]: Taking taylor expansion of 1/4 in U 1.234 * [backup-simplify]: Simplify 1/4 into 1/4 1.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.234 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.234 * [taylor]: Taking taylor expansion of J in U 1.234 * [backup-simplify]: Simplify J into J 1.235 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.235 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.235 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.235 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.235 * [taylor]: Taking taylor expansion of -1/2 in U 1.235 * [backup-simplify]: Simplify -1/2 into -1/2 1.235 * [taylor]: Taking taylor expansion of K in U 1.235 * [backup-simplify]: Simplify K into K 1.235 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.235 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.235 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.235 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.235 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.238 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.238 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.238 * [taylor]: Taking taylor expansion of U in U 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.239 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.239 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.239 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.239 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.240 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.240 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.240 * [backup-simplify]: Simplify (+ 0) into 0 1.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.244 * [taylor]: Taking taylor expansion of 1/2 in K 1.244 * [backup-simplify]: Simplify 1/2 into 1/2 1.244 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.244 * [taylor]: Taking taylor expansion of J in K 1.244 * [backup-simplify]: Simplify J into J 1.244 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.244 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.244 * [taylor]: Taking taylor expansion of -1/2 in K 1.244 * [backup-simplify]: Simplify -1/2 into -1/2 1.244 * [taylor]: Taking taylor expansion of K in K 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.244 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.244 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.244 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.244 * [taylor]: Taking taylor expansion of 1/2 in J 1.244 * [backup-simplify]: Simplify 1/2 into 1/2 1.244 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.244 * [taylor]: Taking taylor expansion of J in J 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.244 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.244 * [taylor]: Taking taylor expansion of -1/2 in J 1.244 * [backup-simplify]: Simplify -1/2 into -1/2 1.244 * [taylor]: Taking taylor expansion of K in J 1.244 * [backup-simplify]: Simplify K into K 1.244 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.244 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.245 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.245 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.245 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.245 * [backup-simplify]: Simplify (- 0) into 0 1.245 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.245 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.245 * [taylor]: Taking taylor expansion of 0 in K 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in J 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.246 * [taylor]: Taking taylor expansion of 0 in J 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.246 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.246 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.248 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.249 * [backup-simplify]: Simplify (- 0) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.250 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.250 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.251 * [backup-simplify]: Simplify (+ 1 0) into 1 1.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.251 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.251 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.251 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.251 * [taylor]: Taking taylor expansion of -1/2 in K 1.251 * [backup-simplify]: Simplify -1/2 into -1/2 1.251 * [taylor]: Taking taylor expansion of K in K 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.252 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.252 * [taylor]: Taking taylor expansion of J in K 1.252 * [backup-simplify]: Simplify J into J 1.252 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.252 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.252 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.252 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.252 * [taylor]: Taking taylor expansion of -1/2 in J 1.252 * [backup-simplify]: Simplify -1/2 into -1/2 1.252 * [taylor]: Taking taylor expansion of K in J 1.252 * [backup-simplify]: Simplify K into K 1.252 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.252 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.252 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.252 * [taylor]: Taking taylor expansion of J in J 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.252 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.252 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.253 * [backup-simplify]: Simplify (+ 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in J 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.256 * [taylor]: Taking taylor expansion of 0 in J 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (+ 0) into 0 1.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.259 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.259 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 1.260 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 1.260 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 1.260 * [taylor]: Taking taylor expansion of -2 in J 1.260 * [backup-simplify]: Simplify -2 into -2 1.260 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 1.260 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.260 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.260 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.260 * [taylor]: Taking taylor expansion of 1/2 in J 1.260 * [backup-simplify]: Simplify 1/2 into 1/2 1.260 * [taylor]: Taking taylor expansion of K in J 1.260 * [backup-simplify]: Simplify K into K 1.260 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.260 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.260 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.260 * [taylor]: Taking taylor expansion of J in J 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.260 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.260 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.260 * [taylor]: Taking taylor expansion of 1/4 in J 1.261 * [backup-simplify]: Simplify 1/4 into 1/4 1.261 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.261 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.261 * [taylor]: Taking taylor expansion of U in J 1.261 * [backup-simplify]: Simplify U into U 1.261 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.261 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.261 * [taylor]: Taking taylor expansion of 1/2 in J 1.261 * [backup-simplify]: Simplify 1/2 into 1/2 1.261 * [taylor]: Taking taylor expansion of K in J 1.261 * [backup-simplify]: Simplify K into K 1.261 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.261 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.261 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.261 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.261 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.262 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.262 * [taylor]: Taking taylor expansion of J in J 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.262 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.262 * [backup-simplify]: Simplify (* 1 1) into 1 1.263 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.263 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.263 * [taylor]: Taking taylor expansion of 1 in J 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.263 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.263 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.263 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.265 * [backup-simplify]: Simplify (+ 0) into 0 1.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.267 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.269 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.269 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.270 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 1.270 * [taylor]: Taking taylor expansion of -2 in K 1.270 * [backup-simplify]: Simplify -2 into -2 1.270 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 1.270 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.270 * [taylor]: Taking taylor expansion of 1/2 in K 1.270 * [backup-simplify]: Simplify 1/2 into 1/2 1.270 * [taylor]: Taking taylor expansion of K in K 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.271 * [taylor]: Taking taylor expansion of J in K 1.271 * [backup-simplify]: Simplify J into J 1.271 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.271 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.271 * [taylor]: Taking taylor expansion of 1/4 in K 1.271 * [backup-simplify]: Simplify 1/4 into 1/4 1.271 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.271 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.271 * [taylor]: Taking taylor expansion of U in K 1.272 * [backup-simplify]: Simplify U into U 1.272 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.272 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.272 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.272 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.272 * [taylor]: Taking taylor expansion of 1/2 in K 1.272 * [backup-simplify]: Simplify 1/2 into 1/2 1.272 * [taylor]: Taking taylor expansion of K in K 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.273 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.273 * [taylor]: Taking taylor expansion of J in K 1.273 * [backup-simplify]: Simplify J into J 1.273 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.273 * [backup-simplify]: Simplify (* 1 1) into 1 1.273 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.274 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.274 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.274 * [taylor]: Taking taylor expansion of 1 in K 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.274 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.274 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.274 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.275 * [backup-simplify]: Simplify (+ 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.276 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.278 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 1.278 * [taylor]: Taking taylor expansion of -2 in U 1.278 * [backup-simplify]: Simplify -2 into -2 1.278 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 1.278 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.278 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.278 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.278 * [taylor]: Taking taylor expansion of 1/2 in U 1.278 * [backup-simplify]: Simplify 1/2 into 1/2 1.278 * [taylor]: Taking taylor expansion of K in U 1.278 * [backup-simplify]: Simplify K into K 1.278 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.278 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.278 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.278 * [taylor]: Taking taylor expansion of J in U 1.278 * [backup-simplify]: Simplify J into J 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.278 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.278 * [taylor]: Taking taylor expansion of 1/4 in U 1.278 * [backup-simplify]: Simplify 1/4 into 1/4 1.278 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.278 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.278 * [taylor]: Taking taylor expansion of U in U 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.278 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.279 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.279 * [taylor]: Taking taylor expansion of 1/2 in U 1.279 * [backup-simplify]: Simplify 1/2 into 1/2 1.279 * [taylor]: Taking taylor expansion of K in U 1.279 * [backup-simplify]: Simplify K into K 1.279 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.279 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.279 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.279 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.279 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.280 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.280 * [taylor]: Taking taylor expansion of J in U 1.280 * [backup-simplify]: Simplify J into J 1.280 * [backup-simplify]: Simplify (* 1 1) into 1 1.280 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.280 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.280 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.280 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.280 * [taylor]: Taking taylor expansion of 1 in U 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (+ 0 1) into 1 1.281 * [backup-simplify]: Simplify (sqrt 1) into 1 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.282 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 1.282 * [taylor]: Taking taylor expansion of -2 in U 1.282 * [backup-simplify]: Simplify -2 into -2 1.283 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 1.283 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.283 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.283 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.283 * [taylor]: Taking taylor expansion of 1/2 in U 1.283 * [backup-simplify]: Simplify 1/2 into 1/2 1.283 * [taylor]: Taking taylor expansion of K in U 1.283 * [backup-simplify]: Simplify K into K 1.283 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.283 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.283 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.283 * [taylor]: Taking taylor expansion of J in U 1.283 * [backup-simplify]: Simplify J into J 1.283 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.283 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.283 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.283 * [taylor]: Taking taylor expansion of 1/4 in U 1.283 * [backup-simplify]: Simplify 1/4 into 1/4 1.283 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.283 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.283 * [taylor]: Taking taylor expansion of U in U 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.283 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.283 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.283 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.283 * [taylor]: Taking taylor expansion of 1/2 in U 1.283 * [backup-simplify]: Simplify 1/2 into 1/2 1.283 * [taylor]: Taking taylor expansion of K in U 1.283 * [backup-simplify]: Simplify K into K 1.283 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.283 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.284 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.284 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.284 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.284 * [backup-simplify]: Simplify (- 0) into 0 1.284 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.285 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.285 * [taylor]: Taking taylor expansion of J in U 1.285 * [backup-simplify]: Simplify J into J 1.285 * [backup-simplify]: Simplify (* 1 1) into 1 1.285 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.285 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.285 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.285 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.286 * [taylor]: Taking taylor expansion of 1 in U 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (+ 0 1) into 1 1.286 * [backup-simplify]: Simplify (sqrt 1) into 1 1.287 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.288 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.288 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.288 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.288 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.288 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.288 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.288 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.288 * [taylor]: Taking taylor expansion of -2 in K 1.288 * [backup-simplify]: Simplify -2 into -2 1.288 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.288 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.288 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.289 * [taylor]: Taking taylor expansion of 1/2 in K 1.289 * [backup-simplify]: Simplify 1/2 into 1/2 1.289 * [taylor]: Taking taylor expansion of K in K 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.290 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.290 * [taylor]: Taking taylor expansion of J in K 1.290 * [backup-simplify]: Simplify J into J 1.290 * [backup-simplify]: Simplify (* 1 J) into J 1.290 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.290 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.290 * [taylor]: Taking taylor expansion of -2 in J 1.290 * [backup-simplify]: Simplify -2 into -2 1.290 * [taylor]: Taking taylor expansion of J in J 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [backup-simplify]: Simplify (+ 0) into 0 1.291 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.293 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.294 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.295 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.295 * [taylor]: Taking taylor expansion of 0 in K 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [taylor]: Taking taylor expansion of 0 in J 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (+ 0) into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.296 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.296 * [taylor]: Taking taylor expansion of 0 in J 1.296 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (* -2 0) into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.297 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.299 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.302 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.304 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 1.304 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 1.304 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.304 * [taylor]: Taking taylor expansion of 1/4 in K 1.304 * [backup-simplify]: Simplify 1/4 into 1/4 1.304 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.304 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.304 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.304 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.304 * [taylor]: Taking taylor expansion of 1/2 in K 1.304 * [backup-simplify]: Simplify 1/2 into 1/2 1.304 * [taylor]: Taking taylor expansion of K in K 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.305 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.305 * [taylor]: Taking taylor expansion of J in K 1.305 * [backup-simplify]: Simplify J into J 1.305 * [backup-simplify]: Simplify (* 1 J) into J 1.305 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.305 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.305 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.305 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.305 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.305 * [taylor]: Taking taylor expansion of 1/4 in J 1.305 * [backup-simplify]: Simplify 1/4 into 1/4 1.305 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.305 * [taylor]: Taking taylor expansion of J in J 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.306 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.306 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.306 * [backup-simplify]: Simplify -1/4 into -1/4 1.306 * [taylor]: Taking taylor expansion of 0 in J 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.307 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.307 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.307 * [taylor]: Taking taylor expansion of 1/4 in J 1.307 * [backup-simplify]: Simplify 1/4 into 1/4 1.307 * [taylor]: Taking taylor expansion of J in J 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.308 * [backup-simplify]: Simplify -2 into -2 1.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.308 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.309 * [backup-simplify]: Simplify (+ 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.310 * [backup-simplify]: Simplify (- 0) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.311 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.311 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.312 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.313 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.315 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.315 * [backup-simplify]: Simplify (- 0) into 0 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.317 * [taylor]: Taking taylor expansion of 0 in K 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [taylor]: Taking taylor expansion of 0 in J 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (+ 0) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.318 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [taylor]: Taking taylor expansion of 0 in J 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [taylor]: Taking taylor expansion of 0 in J 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.321 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.321 * [taylor]: Taking taylor expansion of 0 in J 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.324 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1.324 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 1.324 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 1.324 * [taylor]: Taking taylor expansion of -2 in J 1.324 * [backup-simplify]: Simplify -2 into -2 1.324 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 1.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.324 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.324 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.324 * [taylor]: Taking taylor expansion of 1/4 in J 1.324 * [backup-simplify]: Simplify 1/4 into 1/4 1.324 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.324 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.324 * [taylor]: Taking taylor expansion of J in J 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.324 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.324 * [taylor]: Taking taylor expansion of U in J 1.324 * [backup-simplify]: Simplify U into U 1.324 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.324 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.324 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.324 * [taylor]: Taking taylor expansion of 1/2 in J 1.324 * [backup-simplify]: Simplify 1/2 into 1/2 1.324 * [taylor]: Taking taylor expansion of K in J 1.324 * [backup-simplify]: Simplify K into K 1.324 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.324 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.324 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.324 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.324 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.325 * [backup-simplify]: Simplify (- 0) into 0 1.325 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.325 * [backup-simplify]: Simplify (* 1 1) into 1 1.325 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.325 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.325 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.325 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.325 * [taylor]: Taking taylor expansion of 1 in J 1.325 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (+ 0 1) into 1 1.326 * [backup-simplify]: Simplify (sqrt 1) into 1 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.327 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.327 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.327 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.327 * [taylor]: Taking taylor expansion of 1/2 in J 1.327 * [backup-simplify]: Simplify 1/2 into 1/2 1.327 * [taylor]: Taking taylor expansion of K in J 1.327 * [backup-simplify]: Simplify K into K 1.327 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.327 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.327 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.327 * [taylor]: Taking taylor expansion of J in J 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.327 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.327 * [backup-simplify]: Simplify (- 0) into 0 1.327 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.327 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.327 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 1.327 * [taylor]: Taking taylor expansion of -2 in K 1.327 * [backup-simplify]: Simplify -2 into -2 1.327 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.327 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.327 * [taylor]: Taking taylor expansion of 1/4 in K 1.327 * [backup-simplify]: Simplify 1/4 into 1/4 1.327 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.327 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.327 * [taylor]: Taking taylor expansion of J in K 1.328 * [backup-simplify]: Simplify J into J 1.328 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.328 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.328 * [taylor]: Taking taylor expansion of U in K 1.328 * [backup-simplify]: Simplify U into U 1.328 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.328 * [taylor]: Taking taylor expansion of 1/2 in K 1.328 * [backup-simplify]: Simplify 1/2 into 1/2 1.328 * [taylor]: Taking taylor expansion of K in K 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.328 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.328 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.328 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.328 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.328 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.328 * [taylor]: Taking taylor expansion of 1 in K 1.328 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.329 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.329 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.329 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.329 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.329 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.329 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.330 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.330 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.330 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.330 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.331 * [taylor]: Taking taylor expansion of 1/2 in K 1.331 * [backup-simplify]: Simplify 1/2 into 1/2 1.331 * [taylor]: Taking taylor expansion of K in K 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.331 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.331 * [taylor]: Taking taylor expansion of J in K 1.331 * [backup-simplify]: Simplify J into J 1.331 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.331 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 1.331 * [taylor]: Taking taylor expansion of -2 in U 1.331 * [backup-simplify]: Simplify -2 into -2 1.331 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.331 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.331 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.331 * [taylor]: Taking taylor expansion of 1/4 in U 1.331 * [backup-simplify]: Simplify 1/4 into 1/4 1.331 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.331 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.331 * [taylor]: Taking taylor expansion of J in U 1.331 * [backup-simplify]: Simplify J into J 1.331 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.331 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.331 * [taylor]: Taking taylor expansion of U in U 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.331 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.331 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.331 * [taylor]: Taking taylor expansion of 1/2 in U 1.331 * [backup-simplify]: Simplify 1/2 into 1/2 1.331 * [taylor]: Taking taylor expansion of K in U 1.331 * [backup-simplify]: Simplify K into K 1.331 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.331 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.331 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.332 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.332 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.332 * [backup-simplify]: Simplify (* 1 1) into 1 1.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.332 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.332 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.332 * [taylor]: Taking taylor expansion of 1 in U 1.332 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.333 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.333 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.333 * [backup-simplify]: Simplify (+ 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.336 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.337 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.337 * [taylor]: Taking taylor expansion of 1/2 in U 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of K in U 1.337 * [backup-simplify]: Simplify K into K 1.337 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.337 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.337 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.337 * [taylor]: Taking taylor expansion of J in U 1.337 * [backup-simplify]: Simplify J into J 1.337 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.337 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.337 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.337 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.337 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 1.337 * [taylor]: Taking taylor expansion of -2 in U 1.337 * [backup-simplify]: Simplify -2 into -2 1.337 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 1.337 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.337 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.337 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.337 * [taylor]: Taking taylor expansion of 1/4 in U 1.337 * [backup-simplify]: Simplify 1/4 into 1/4 1.337 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.338 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.338 * [taylor]: Taking taylor expansion of J in U 1.338 * [backup-simplify]: Simplify J into J 1.338 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.338 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.338 * [taylor]: Taking taylor expansion of U in U 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.338 * [taylor]: Taking taylor expansion of 1/2 in U 1.338 * [backup-simplify]: Simplify 1/2 into 1/2 1.338 * [taylor]: Taking taylor expansion of K in U 1.338 * [backup-simplify]: Simplify K into K 1.338 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.338 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.338 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.338 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.338 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.338 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.339 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.339 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.339 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.339 * [taylor]: Taking taylor expansion of 1 in U 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.339 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.339 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.339 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.339 * [backup-simplify]: Simplify (+ 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.342 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.344 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.344 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.344 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.344 * [taylor]: Taking taylor expansion of 1/2 in U 1.344 * [backup-simplify]: Simplify 1/2 into 1/2 1.344 * [taylor]: Taking taylor expansion of K in U 1.344 * [backup-simplify]: Simplify K into K 1.344 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.344 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.344 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.344 * [taylor]: Taking taylor expansion of J in U 1.344 * [backup-simplify]: Simplify J into J 1.344 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.344 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.345 * [backup-simplify]: Simplify (- 0) into 0 1.345 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.345 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.345 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.346 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.346 * [taylor]: Taking taylor expansion of -1 in K 1.346 * [backup-simplify]: Simplify -1 into -1 1.346 * [taylor]: Taking taylor expansion of -1 in J 1.346 * [backup-simplify]: Simplify -1 into -1 1.346 * [backup-simplify]: Simplify (+ 0) into 0 1.350 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.354 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.354 * [taylor]: Taking taylor expansion of 0 in K 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [taylor]: Taking taylor expansion of 0 in J 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [taylor]: Taking taylor expansion of 0 in J 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify -1 into -1 1.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.356 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.362 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.365 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 1) into 1 1.368 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.368 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.369 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.369 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.369 * [taylor]: Taking taylor expansion of 2 in K 1.369 * [backup-simplify]: Simplify 2 into 2 1.370 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.370 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.370 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.370 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.370 * [taylor]: Taking taylor expansion of 1/2 in K 1.370 * [backup-simplify]: Simplify 1/2 into 1/2 1.370 * [taylor]: Taking taylor expansion of K in K 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.370 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.370 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.370 * [taylor]: Taking taylor expansion of J in K 1.370 * [backup-simplify]: Simplify J into J 1.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.371 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.371 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.371 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.371 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.371 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.371 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.371 * [taylor]: Taking taylor expansion of 2 in J 1.371 * [backup-simplify]: Simplify 2 into 2 1.371 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.371 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.371 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.371 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.371 * [taylor]: Taking taylor expansion of 1/2 in J 1.371 * [backup-simplify]: Simplify 1/2 into 1/2 1.372 * [taylor]: Taking taylor expansion of K in J 1.372 * [backup-simplify]: Simplify K into K 1.372 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.372 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.372 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.372 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.372 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.372 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.372 * [taylor]: Taking taylor expansion of J in J 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.373 * [backup-simplify]: Simplify (+ 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [taylor]: Taking taylor expansion of 0 in J 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [taylor]: Taking taylor expansion of 0 in J 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.384 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.385 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.386 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.389 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.391 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.391 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.391 * [taylor]: Taking taylor expansion of 0 in K 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [taylor]: Taking taylor expansion of 0 in J 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [taylor]: Taking taylor expansion of 0 in J 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [taylor]: Taking taylor expansion of 0 in J 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [taylor]: Taking taylor expansion of 0 in J 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.398 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 1.398 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 1.398 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 1.398 * [taylor]: Taking taylor expansion of 2 in J 1.398 * [backup-simplify]: Simplify 2 into 2 1.398 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 1.398 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.398 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.398 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.398 * [taylor]: Taking taylor expansion of -1/2 in J 1.398 * [backup-simplify]: Simplify -1/2 into -1/2 1.398 * [taylor]: Taking taylor expansion of K in J 1.398 * [backup-simplify]: Simplify K into K 1.398 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.398 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.398 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.398 * [taylor]: Taking taylor expansion of J in J 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.398 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.399 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.399 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.399 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.399 * [taylor]: Taking taylor expansion of 1 in J 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.399 * [taylor]: Taking taylor expansion of 1/4 in J 1.399 * [backup-simplify]: Simplify 1/4 into 1/4 1.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.399 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.399 * [taylor]: Taking taylor expansion of J in J 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.399 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.399 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.399 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.399 * [taylor]: Taking taylor expansion of -1/2 in J 1.399 * [backup-simplify]: Simplify -1/2 into -1/2 1.399 * [taylor]: Taking taylor expansion of K in J 1.399 * [backup-simplify]: Simplify K into K 1.399 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.399 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.399 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.399 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.399 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.399 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.399 * [taylor]: Taking taylor expansion of U in J 1.399 * [backup-simplify]: Simplify U into U 1.400 * [backup-simplify]: Simplify (* 1 1) into 1 1.400 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.400 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.400 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.400 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.400 * [backup-simplify]: Simplify (+ 1 0) into 1 1.401 * [backup-simplify]: Simplify (sqrt 1) into 1 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.401 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 1.401 * [taylor]: Taking taylor expansion of 2 in K 1.401 * [backup-simplify]: Simplify 2 into 2 1.401 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 1.401 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.401 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.401 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.401 * [taylor]: Taking taylor expansion of -1/2 in K 1.401 * [backup-simplify]: Simplify -1/2 into -1/2 1.401 * [taylor]: Taking taylor expansion of K in K 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.402 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.402 * [taylor]: Taking taylor expansion of J in K 1.402 * [backup-simplify]: Simplify J into J 1.402 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.402 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.402 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.402 * [taylor]: Taking taylor expansion of 1 in K 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.402 * [taylor]: Taking taylor expansion of 1/4 in K 1.402 * [backup-simplify]: Simplify 1/4 into 1/4 1.402 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.402 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.402 * [taylor]: Taking taylor expansion of J in K 1.402 * [backup-simplify]: Simplify J into J 1.402 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.402 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.402 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.402 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.402 * [taylor]: Taking taylor expansion of -1/2 in K 1.402 * [backup-simplify]: Simplify -1/2 into -1/2 1.402 * [taylor]: Taking taylor expansion of K in K 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.402 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.402 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.402 * [taylor]: Taking taylor expansion of U in K 1.402 * [backup-simplify]: Simplify U into U 1.403 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.403 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.403 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.403 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.403 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.403 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.403 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1.403 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.403 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.403 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.404 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 1.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.405 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 1.405 * [taylor]: Taking taylor expansion of 2 in U 1.405 * [backup-simplify]: Simplify 2 into 2 1.405 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 1.405 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.405 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.405 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.405 * [taylor]: Taking taylor expansion of -1/2 in U 1.405 * [backup-simplify]: Simplify -1/2 into -1/2 1.405 * [taylor]: Taking taylor expansion of K in U 1.405 * [backup-simplify]: Simplify K into K 1.405 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.405 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.405 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.405 * [taylor]: Taking taylor expansion of J in U 1.405 * [backup-simplify]: Simplify J into J 1.406 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.406 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.406 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.406 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.406 * [taylor]: Taking taylor expansion of 1 in U 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.406 * [taylor]: Taking taylor expansion of 1/4 in U 1.406 * [backup-simplify]: Simplify 1/4 into 1/4 1.406 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.406 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.406 * [taylor]: Taking taylor expansion of J in U 1.406 * [backup-simplify]: Simplify J into J 1.406 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.406 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.406 * [taylor]: Taking taylor expansion of -1/2 in U 1.406 * [backup-simplify]: Simplify -1/2 into -1/2 1.406 * [taylor]: Taking taylor expansion of K in U 1.406 * [backup-simplify]: Simplify K into K 1.406 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.407 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.407 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.407 * [taylor]: Taking taylor expansion of U in U 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.407 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.407 * [backup-simplify]: Simplify (* 1 1) into 1 1.407 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.407 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.407 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.408 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.408 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.408 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (+ 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.411 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 1.411 * [taylor]: Taking taylor expansion of 2 in U 1.411 * [backup-simplify]: Simplify 2 into 2 1.411 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 1.411 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.412 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.412 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.412 * [taylor]: Taking taylor expansion of -1/2 in U 1.412 * [backup-simplify]: Simplify -1/2 into -1/2 1.412 * [taylor]: Taking taylor expansion of K in U 1.412 * [backup-simplify]: Simplify K into K 1.412 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.412 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.412 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.412 * [taylor]: Taking taylor expansion of J in U 1.412 * [backup-simplify]: Simplify J into J 1.412 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.412 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.412 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.412 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.412 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.412 * [taylor]: Taking taylor expansion of 1 in U 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.412 * [taylor]: Taking taylor expansion of 1/4 in U 1.412 * [backup-simplify]: Simplify 1/4 into 1/4 1.412 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.412 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.412 * [taylor]: Taking taylor expansion of J in U 1.412 * [backup-simplify]: Simplify J into J 1.412 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.412 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.412 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.412 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.412 * [taylor]: Taking taylor expansion of -1/2 in U 1.412 * [backup-simplify]: Simplify -1/2 into -1/2 1.412 * [taylor]: Taking taylor expansion of K in U 1.412 * [backup-simplify]: Simplify K into K 1.412 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.413 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.413 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.413 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.413 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.413 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.413 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.413 * [taylor]: Taking taylor expansion of U in U 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.413 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.413 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.414 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.414 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.414 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.414 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.414 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (+ 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.417 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.420 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.421 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.421 * [taylor]: Taking taylor expansion of 1 in K 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of 1 in J 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (+ 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.424 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.425 * [taylor]: Taking taylor expansion of 0 in K 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [taylor]: Taking taylor expansion of 0 in J 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [taylor]: Taking taylor expansion of 0 in J 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.431 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.432 * [backup-simplify]: Simplify (+ 1 0) into 1 1.432 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.434 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.434 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.435 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.436 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.436 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.436 * [taylor]: Taking taylor expansion of 2 in K 1.436 * [backup-simplify]: Simplify 2 into 2 1.436 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.436 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.436 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.436 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.436 * [taylor]: Taking taylor expansion of -1/2 in K 1.436 * [backup-simplify]: Simplify -1/2 into -1/2 1.436 * [taylor]: Taking taylor expansion of K in K 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.437 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.437 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.437 * [taylor]: Taking taylor expansion of J in K 1.437 * [backup-simplify]: Simplify J into J 1.437 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.437 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.437 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.437 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.437 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.437 * [taylor]: Taking taylor expansion of 2 in J 1.437 * [backup-simplify]: Simplify 2 into 2 1.437 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.437 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.437 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.437 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.437 * [taylor]: Taking taylor expansion of -1/2 in J 1.437 * [backup-simplify]: Simplify -1/2 into -1/2 1.437 * [taylor]: Taking taylor expansion of K in J 1.437 * [backup-simplify]: Simplify K into K 1.437 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.437 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.437 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.437 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.437 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.438 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.438 * [taylor]: Taking taylor expansion of J in J 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.438 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.438 * [backup-simplify]: Simplify (+ 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.439 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [taylor]: Taking taylor expansion of 0 in J 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [taylor]: Taking taylor expansion of 0 in J 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.447 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.448 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.452 * [taylor]: Taking taylor expansion of 0 in K 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in J 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.453 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.453 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.453 * [taylor]: Taking taylor expansion of 0 in J 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in J 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in J 1.453 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.461 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.461 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.461 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 1.461 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.461 * [taylor]: Taking taylor expansion of 1/4 in J 1.461 * [backup-simplify]: Simplify 1/4 into 1/4 1.461 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.461 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.462 * [taylor]: Taking taylor expansion of U in J 1.462 * [backup-simplify]: Simplify U into U 1.462 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.462 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.462 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.462 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.462 * [taylor]: Taking taylor expansion of 1/2 in J 1.462 * [backup-simplify]: Simplify 1/2 into 1/2 1.462 * [taylor]: Taking taylor expansion of K in J 1.462 * [backup-simplify]: Simplify K into K 1.462 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.462 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.462 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.462 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.462 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.462 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.463 * [taylor]: Taking taylor expansion of J in J 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.463 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.463 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.463 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.463 * [taylor]: Taking taylor expansion of 1/4 in K 1.463 * [backup-simplify]: Simplify 1/4 into 1/4 1.463 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.464 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.464 * [taylor]: Taking taylor expansion of U in K 1.464 * [backup-simplify]: Simplify U into U 1.464 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.464 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.464 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.464 * [taylor]: Taking taylor expansion of 1/2 in K 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of K in K 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.465 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.465 * [taylor]: Taking taylor expansion of J in K 1.465 * [backup-simplify]: Simplify J into J 1.465 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.465 * [backup-simplify]: Simplify (* 1 1) into 1 1.466 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.466 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.466 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.466 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.466 * [taylor]: Taking taylor expansion of 1/4 in U 1.466 * [backup-simplify]: Simplify 1/4 into 1/4 1.466 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.466 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.466 * [taylor]: Taking taylor expansion of U in U 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.466 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.466 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.466 * [taylor]: Taking taylor expansion of 1/2 in U 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of K in U 1.466 * [backup-simplify]: Simplify K into K 1.466 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.466 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.466 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.466 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.467 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.467 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.467 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.467 * [taylor]: Taking taylor expansion of J in U 1.467 * [backup-simplify]: Simplify J into J 1.467 * [backup-simplify]: Simplify (* 1 1) into 1 1.468 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.468 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.468 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.468 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.468 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.468 * [taylor]: Taking taylor expansion of 1/4 in U 1.468 * [backup-simplify]: Simplify 1/4 into 1/4 1.468 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.468 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.468 * [taylor]: Taking taylor expansion of U in U 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.468 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.468 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.468 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.468 * [taylor]: Taking taylor expansion of 1/2 in U 1.468 * [backup-simplify]: Simplify 1/2 into 1/2 1.468 * [taylor]: Taking taylor expansion of K in U 1.468 * [backup-simplify]: Simplify K into K 1.468 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.469 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.469 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.469 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.469 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.469 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.469 * [taylor]: Taking taylor expansion of J in U 1.469 * [backup-simplify]: Simplify J into J 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.470 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.470 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.470 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.470 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.470 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.471 * [taylor]: Taking taylor expansion of 1/4 in K 1.471 * [backup-simplify]: Simplify 1/4 into 1/4 1.471 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.471 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.471 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.471 * [taylor]: Taking taylor expansion of 1/2 in K 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of K in K 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.472 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.472 * [taylor]: Taking taylor expansion of J in K 1.472 * [backup-simplify]: Simplify J into J 1.472 * [backup-simplify]: Simplify (* 1 1) into 1 1.472 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.472 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.473 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.473 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.473 * [taylor]: Taking taylor expansion of 1/4 in J 1.473 * [backup-simplify]: Simplify 1/4 into 1/4 1.473 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.473 * [taylor]: Taking taylor expansion of J in J 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.474 * [backup-simplify]: Simplify 1/4 into 1/4 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.474 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.475 * [backup-simplify]: Simplify (+ 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.477 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.478 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in K 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [taylor]: Taking taylor expansion of 0 in J 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.480 * [backup-simplify]: Simplify (+ 0) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.482 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.482 * [taylor]: Taking taylor expansion of 0 in J 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.485 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.487 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.488 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.489 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.491 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.491 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in K 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [taylor]: Taking taylor expansion of 0 in J 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [taylor]: Taking taylor expansion of 0 in J 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.494 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.495 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.497 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 1.497 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.497 * [taylor]: Taking taylor expansion of 1/16 in J 1.497 * [backup-simplify]: Simplify 1/16 into 1/16 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.497 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.497 * [taylor]: Taking taylor expansion of J in J 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (/ 1 1) into 1 1.498 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.498 * [backup-simplify]: Simplify 1/16 into 1/16 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.507 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.510 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.511 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.512 * [taylor]: Taking taylor expansion of 0 in K 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [taylor]: Taking taylor expansion of 0 in J 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [taylor]: Taking taylor expansion of 0 in J 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [taylor]: Taking taylor expansion of 0 in J 1.512 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.515 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.516 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in J 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.521 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.524 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.525 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.527 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 1.528 * [taylor]: Taking taylor expansion of 0 in K 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [taylor]: Taking taylor expansion of 0 in J 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [taylor]: Taking taylor expansion of 0 in J 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [taylor]: Taking taylor expansion of 0 in J 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [taylor]: Taking taylor expansion of 0 in J 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 1.533 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 1.534 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 1.534 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 1.534 * [taylor]: Taking taylor expansion of 1/96 in J 1.534 * [backup-simplify]: Simplify 1/96 into 1/96 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.534 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.534 * [taylor]: Taking taylor expansion of J in J 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (/ 1 1) into 1 1.535 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 1.535 * [backup-simplify]: Simplify 1/96 into 1/96 1.535 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 1.536 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.536 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 1.536 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.536 * [taylor]: Taking taylor expansion of 1/4 in J 1.536 * [backup-simplify]: Simplify 1/4 into 1/4 1.536 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.536 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.536 * [taylor]: Taking taylor expansion of J in J 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.536 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.536 * [taylor]: Taking taylor expansion of U in J 1.536 * [backup-simplify]: Simplify U into U 1.536 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.536 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.536 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.536 * [taylor]: Taking taylor expansion of 1/2 in J 1.536 * [backup-simplify]: Simplify 1/2 into 1/2 1.536 * [taylor]: Taking taylor expansion of K in J 1.536 * [backup-simplify]: Simplify K into K 1.536 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.536 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.536 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.536 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.536 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.537 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.537 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.537 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.537 * [taylor]: Taking taylor expansion of 1/4 in K 1.537 * [backup-simplify]: Simplify 1/4 into 1/4 1.537 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.537 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.537 * [taylor]: Taking taylor expansion of J in K 1.537 * [backup-simplify]: Simplify J into J 1.537 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.537 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.537 * [taylor]: Taking taylor expansion of U in K 1.537 * [backup-simplify]: Simplify U into U 1.537 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.537 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.537 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.537 * [taylor]: Taking taylor expansion of 1/2 in K 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of K in K 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.538 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.538 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.538 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.538 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.538 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.538 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.538 * [taylor]: Taking taylor expansion of 1/4 in U 1.538 * [backup-simplify]: Simplify 1/4 into 1/4 1.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.538 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.538 * [taylor]: Taking taylor expansion of J in U 1.538 * [backup-simplify]: Simplify J into J 1.538 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.538 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.538 * [taylor]: Taking taylor expansion of U in U 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.538 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.538 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.538 * [taylor]: Taking taylor expansion of 1/2 in U 1.538 * [backup-simplify]: Simplify 1/2 into 1/2 1.538 * [taylor]: Taking taylor expansion of K in U 1.538 * [backup-simplify]: Simplify K into K 1.538 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.539 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.539 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.539 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.539 * [backup-simplify]: Simplify (* 1 1) into 1 1.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.539 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.540 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.540 * [taylor]: Taking taylor expansion of 1/4 in U 1.540 * [backup-simplify]: Simplify 1/4 into 1/4 1.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.540 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.540 * [taylor]: Taking taylor expansion of J in U 1.540 * [backup-simplify]: Simplify J into J 1.540 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.540 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.540 * [taylor]: Taking taylor expansion of U in U 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.540 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.540 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.540 * [taylor]: Taking taylor expansion of 1/2 in U 1.540 * [backup-simplify]: Simplify 1/2 into 1/2 1.540 * [taylor]: Taking taylor expansion of K in U 1.540 * [backup-simplify]: Simplify K into K 1.540 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.540 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.541 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.541 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.541 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.541 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 1.541 * [taylor]: Taking taylor expansion of 1/4 in K 1.541 * [backup-simplify]: Simplify 1/4 into 1/4 1.541 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 1.541 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.541 * [taylor]: Taking taylor expansion of J in K 1.541 * [backup-simplify]: Simplify J into J 1.541 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.541 * [taylor]: Taking taylor expansion of 1/2 in K 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of K in K 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.542 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.542 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.542 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.542 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.542 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.542 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 1.542 * [taylor]: Taking taylor expansion of 1/4 in J 1.542 * [backup-simplify]: Simplify 1/4 into 1/4 1.542 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 1.542 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.542 * [taylor]: Taking taylor expansion of J in J 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.542 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.542 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.542 * [taylor]: Taking taylor expansion of 1/2 in J 1.542 * [backup-simplify]: Simplify 1/2 into 1/2 1.542 * [taylor]: Taking taylor expansion of K in J 1.542 * [backup-simplify]: Simplify K into K 1.543 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.543 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.543 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.543 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.543 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.543 * [backup-simplify]: Simplify (- 0) into 0 1.543 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.544 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.544 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.544 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.544 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.545 * [backup-simplify]: Simplify (+ 0) into 0 1.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.550 * [taylor]: Taking taylor expansion of 0 in K 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [taylor]: Taking taylor expansion of 0 in J 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.552 * [taylor]: Taking taylor expansion of 0 in J 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (+ 0) into 0 1.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.555 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.556 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.564 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.565 * [taylor]: Taking taylor expansion of 0 in K 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [taylor]: Taking taylor expansion of 0 in J 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [taylor]: Taking taylor expansion of 0 in J 1.565 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.567 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.568 * [taylor]: Taking taylor expansion of 0 in J 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.569 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.569 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 1.569 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.569 * [taylor]: Taking taylor expansion of 1/4 in J 1.569 * [backup-simplify]: Simplify 1/4 into 1/4 1.569 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.569 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.569 * [taylor]: Taking taylor expansion of J in J 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.569 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.569 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.569 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.569 * [taylor]: Taking taylor expansion of -1/2 in J 1.569 * [backup-simplify]: Simplify -1/2 into -1/2 1.569 * [taylor]: Taking taylor expansion of K in J 1.569 * [backup-simplify]: Simplify K into K 1.570 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.570 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.570 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.570 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.570 * [backup-simplify]: Simplify (- 0) into 0 1.570 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.570 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.570 * [taylor]: Taking taylor expansion of U in J 1.570 * [backup-simplify]: Simplify U into U 1.571 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.571 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.571 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.571 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.571 * [taylor]: Taking taylor expansion of 1/4 in K 1.571 * [backup-simplify]: Simplify 1/4 into 1/4 1.571 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.572 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.572 * [taylor]: Taking taylor expansion of J in K 1.572 * [backup-simplify]: Simplify J into J 1.572 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.572 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.572 * [taylor]: Taking taylor expansion of -1/2 in K 1.572 * [backup-simplify]: Simplify -1/2 into -1/2 1.572 * [taylor]: Taking taylor expansion of K in K 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.572 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.572 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.572 * [taylor]: Taking taylor expansion of U in K 1.572 * [backup-simplify]: Simplify U into U 1.572 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.573 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.573 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.573 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.573 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.573 * [taylor]: Taking taylor expansion of 1/4 in U 1.573 * [backup-simplify]: Simplify 1/4 into 1/4 1.573 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.573 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.573 * [taylor]: Taking taylor expansion of J in U 1.573 * [backup-simplify]: Simplify J into J 1.573 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.573 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.573 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.573 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.573 * [taylor]: Taking taylor expansion of -1/2 in U 1.573 * [backup-simplify]: Simplify -1/2 into -1/2 1.573 * [taylor]: Taking taylor expansion of K in U 1.574 * [backup-simplify]: Simplify K into K 1.574 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.574 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.574 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.574 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.574 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.575 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.575 * [taylor]: Taking taylor expansion of U in U 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.576 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.576 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.576 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.576 * [taylor]: Taking taylor expansion of 1/4 in U 1.576 * [backup-simplify]: Simplify 1/4 into 1/4 1.576 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.576 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.576 * [taylor]: Taking taylor expansion of J in U 1.576 * [backup-simplify]: Simplify J into J 1.576 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.576 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.576 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.576 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.576 * [taylor]: Taking taylor expansion of -1/2 in U 1.576 * [backup-simplify]: Simplify -1/2 into -1/2 1.576 * [taylor]: Taking taylor expansion of K in U 1.576 * [backup-simplify]: Simplify K into K 1.576 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.576 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.576 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.577 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.577 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.577 * [taylor]: Taking taylor expansion of U in U 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.578 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.578 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.578 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.578 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 1.578 * [taylor]: Taking taylor expansion of 1/4 in K 1.578 * [backup-simplify]: Simplify 1/4 into 1/4 1.578 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 1.578 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.579 * [taylor]: Taking taylor expansion of J in K 1.579 * [backup-simplify]: Simplify J into J 1.579 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.579 * [taylor]: Taking taylor expansion of -1/2 in K 1.579 * [backup-simplify]: Simplify -1/2 into -1/2 1.579 * [taylor]: Taking taylor expansion of K in K 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.579 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.580 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.580 * [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))) 1.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 1.580 * [taylor]: Taking taylor expansion of 1/4 in J 1.580 * [backup-simplify]: Simplify 1/4 into 1/4 1.580 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 1.580 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.580 * [taylor]: Taking taylor expansion of J in J 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.580 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.580 * [taylor]: Taking taylor expansion of -1/2 in J 1.580 * [backup-simplify]: Simplify -1/2 into -1/2 1.580 * [taylor]: Taking taylor expansion of K in J 1.580 * [backup-simplify]: Simplify K into K 1.580 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.581 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.581 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.581 * [backup-simplify]: Simplify (- 0) into 0 1.581 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (* 1 1) into 1 1.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.582 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 1.582 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.582 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.582 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.583 * [backup-simplify]: Simplify (+ 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.590 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.593 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.593 * [taylor]: Taking taylor expansion of 0 in K 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [taylor]: Taking taylor expansion of 0 in J 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.594 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.594 * [taylor]: Taking taylor expansion of 0 in J 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (+ 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.597 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.597 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.598 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.599 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.600 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.600 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.602 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.602 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.603 * [taylor]: Taking taylor expansion of 0 in K 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [taylor]: Taking taylor expansion of 0 in J 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [taylor]: Taking taylor expansion of 0 in J 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.604 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.604 * [taylor]: Taking taylor expansion of 0 in J 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.605 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.605 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 1.605 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 1.605 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.605 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.605 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.605 * [taylor]: Taking taylor expansion of 1/2 in J 1.605 * [backup-simplify]: Simplify 1/2 into 1/2 1.605 * [taylor]: Taking taylor expansion of K in J 1.605 * [backup-simplify]: Simplify K into K 1.605 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.605 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.605 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.605 * [taylor]: Taking taylor expansion of J in J 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.605 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.605 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.605 * [taylor]: Taking taylor expansion of 1/2 in K 1.605 * [backup-simplify]: Simplify 1/2 into 1/2 1.605 * [taylor]: Taking taylor expansion of K in K 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.606 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.606 * [taylor]: Taking taylor expansion of J in K 1.606 * [backup-simplify]: Simplify J into J 1.606 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.606 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.606 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.606 * [taylor]: Taking taylor expansion of 1/2 in K 1.606 * [backup-simplify]: Simplify 1/2 into 1/2 1.606 * [taylor]: Taking taylor expansion of K in K 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.607 * [taylor]: Taking taylor expansion of J in K 1.607 * [backup-simplify]: Simplify J into J 1.607 * [backup-simplify]: Simplify (* 1 J) into J 1.607 * [taylor]: Taking taylor expansion of J in J 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ 0) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.607 * [taylor]: Taking taylor expansion of 0 in J 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.609 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 1.609 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 1.609 * [taylor]: Taking taylor expansion of 1/8 in J 1.609 * [backup-simplify]: Simplify 1/8 into 1/8 1.609 * [taylor]: Taking taylor expansion of J in J 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.609 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.611 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.611 * [taylor]: Taking taylor expansion of 0 in J 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.612 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.612 * [backup-simplify]: Simplify -1/8 into -1/8 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.616 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 1.616 * [taylor]: Taking taylor expansion of 1/384 in J 1.616 * [backup-simplify]: Simplify 1/384 into 1/384 1.616 * [taylor]: Taking taylor expansion of J in J 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* 1/384 0) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 1.617 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 1.617 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 1.617 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.617 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.617 * [taylor]: Taking taylor expansion of 1/2 in J 1.617 * [backup-simplify]: Simplify 1/2 into 1/2 1.617 * [taylor]: Taking taylor expansion of K in J 1.617 * [backup-simplify]: Simplify K into K 1.617 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.617 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.617 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.617 * [taylor]: Taking taylor expansion of J in J 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.617 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.618 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.618 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.618 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.618 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.618 * [taylor]: Taking taylor expansion of 1/2 in K 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of K in K 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.618 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.618 * [taylor]: Taking taylor expansion of J in K 1.618 * [backup-simplify]: Simplify J into J 1.618 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.618 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.618 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.618 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.618 * [taylor]: Taking taylor expansion of 1/2 in K 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of K in K 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.619 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.619 * [taylor]: Taking taylor expansion of J in K 1.619 * [backup-simplify]: Simplify J into J 1.619 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.619 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.619 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.619 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.619 * [taylor]: Taking taylor expansion of 1/2 in J 1.619 * [backup-simplify]: Simplify 1/2 into 1/2 1.619 * [taylor]: Taking taylor expansion of K in J 1.619 * [backup-simplify]: Simplify K into K 1.619 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.619 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.619 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.619 * [taylor]: Taking taylor expansion of J in J 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.619 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.620 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.620 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.620 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.620 * [taylor]: Taking taylor expansion of 0 in J 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.621 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in J 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.626 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.629 * [taylor]: Taking taylor expansion of 0 in J 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.634 * [backup-simplify]: Simplify (- 0) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 1.636 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.636 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.636 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.636 * [taylor]: Taking taylor expansion of -1 in J 1.636 * [backup-simplify]: Simplify -1 into -1 1.636 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.637 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.637 * [taylor]: Taking taylor expansion of -1/2 in J 1.637 * [backup-simplify]: Simplify -1/2 into -1/2 1.637 * [taylor]: Taking taylor expansion of K in J 1.637 * [backup-simplify]: Simplify K into K 1.637 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.637 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.637 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.637 * [taylor]: Taking taylor expansion of J in J 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.637 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.638 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.638 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.638 * [taylor]: Taking taylor expansion of -1 in K 1.638 * [backup-simplify]: Simplify -1 into -1 1.638 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.638 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.638 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.638 * [taylor]: Taking taylor expansion of -1/2 in K 1.638 * [backup-simplify]: Simplify -1/2 into -1/2 1.638 * [taylor]: Taking taylor expansion of K in K 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.638 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.638 * [taylor]: Taking taylor expansion of J in K 1.638 * [backup-simplify]: Simplify J into J 1.638 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.638 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.638 * [taylor]: Taking taylor expansion of -1 in K 1.639 * [backup-simplify]: Simplify -1 into -1 1.639 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.639 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.639 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.639 * [taylor]: Taking taylor expansion of -1/2 in K 1.639 * [backup-simplify]: Simplify -1/2 into -1/2 1.639 * [taylor]: Taking taylor expansion of K in K 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.639 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.639 * [taylor]: Taking taylor expansion of J in K 1.639 * [backup-simplify]: Simplify J into J 1.639 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.640 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.640 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.640 * [taylor]: Taking taylor expansion of -1 in J 1.640 * [backup-simplify]: Simplify -1 into -1 1.640 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.640 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.640 * [taylor]: Taking taylor expansion of -1/2 in J 1.640 * [backup-simplify]: Simplify -1/2 into -1/2 1.640 * [taylor]: Taking taylor expansion of K in J 1.640 * [backup-simplify]: Simplify K into K 1.640 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.640 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.640 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.640 * [taylor]: Taking taylor expansion of J in J 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.640 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.641 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.641 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.641 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.641 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.642 * [taylor]: Taking taylor expansion of 0 in J 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.647 * [taylor]: Taking taylor expansion of 0 in J 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.648 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.650 * [backup-simplify]: Simplify (- 0) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.652 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.652 * [taylor]: Taking taylor expansion of 0 in J 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.655 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 1.658 * * * [progress]: simplifying candidates 1.658 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 1.658 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 1.658 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 1.658 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 1.658 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 1.658 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 1.658 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 1.658 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 1.658 * * [simplify]: iters left: 6 (15 enodes) 1.663 * * [simplify]: iters left: 5 (59 enodes) 1.673 * * [simplify]: iters left: 4 (112 enodes) 1.720 * * [simplify]: iters left: 3 (365 enodes) 1.975 * * [simplify]: Extracting #0: cost 1 inf + 0 1.975 * * [simplify]: Extracting #1: cost 4 inf + 0 1.975 * * [simplify]: Extracting #2: cost 7 inf + 0 1.975 * * [simplify]: Extracting #3: cost 10 inf + 0 1.975 * * [simplify]: Extracting #4: cost 122 inf + 1 1.976 * * [simplify]: Extracting #5: cost 241 inf + 89 1.978 * * [simplify]: Extracting #6: cost 203 inf + 3666 1.985 * * [simplify]: Extracting #7: cost 128 inf + 17960 2.009 * * [simplify]: Extracting #8: cost 13 inf + 45848 2.026 * * [simplify]: Extracting #9: cost 0 inf + 48961 2.047 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 2.047 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 2.047 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 2.048 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 2.048 * * [simplify]: iters left: 6 (14 enodes) 2.055 * * [simplify]: iters left: 5 (55 enodes) 2.073 * * [simplify]: iters left: 4 (108 enodes) 2.113 * * [simplify]: iters left: 3 (363 enodes) 2.359 * * [simplify]: Extracting #0: cost 1 inf + 0 2.359 * * [simplify]: Extracting #1: cost 3 inf + 0 2.359 * * [simplify]: Extracting #2: cost 5 inf + 0 2.359 * * [simplify]: Extracting #3: cost 8 inf + 0 2.359 * * [simplify]: Extracting #4: cost 123 inf + 1 2.361 * * [simplify]: Extracting #5: cost 234 inf + 420 2.365 * * [simplify]: Extracting #6: cost 203 inf + 3175 2.373 * * [simplify]: Extracting #7: cost 127 inf + 18949 2.389 * * [simplify]: Extracting #8: cost 7 inf + 46860 2.407 * * [simplify]: Extracting #9: cost 0 inf + 48232 2.435 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 2.435 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 2.436 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 2.436 * [simplify]: Simplifying (sqrt 1) 2.436 * * [simplify]: iters left: 1 (2 enodes) 2.439 * * [simplify]: Extracting #0: cost 1 inf + 0 2.440 * * [simplify]: Extracting #1: cost 0 inf + 1 2.440 * [simplify]: Simplified to 1 2.440 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 2.440 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 2.440 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 2.440 * * [simplify]: iters left: 6 (16 enodes) 2.450 * * [simplify]: iters left: 5 (70 enodes) 2.470 * * [simplify]: iters left: 4 (176 enodes) 2.582 * * [simplify]: Extracting #0: cost 1 inf + 0 2.582 * * [simplify]: Extracting #1: cost 3 inf + 0 2.583 * * [simplify]: Extracting #2: cost 6 inf + 0 2.583 * * [simplify]: Extracting #3: cost 103 inf + 1 2.585 * * [simplify]: Extracting #4: cost 306 inf + 6 2.587 * * [simplify]: Extracting #5: cost 338 inf + 1810 2.596 * * [simplify]: Extracting #6: cost 242 inf + 27932 2.614 * * [simplify]: Extracting #7: cost 28 inf + 100762 2.648 * * [simplify]: Extracting #8: cost 0 inf + 110036 2.694 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 2.694 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) 2.694 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 2.695 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 2.695 * * [simplify]: iters left: 6 (15 enodes) 2.704 * * [simplify]: iters left: 5 (62 enodes) 2.731 * * [simplify]: iters left: 4 (150 enodes) 2.846 * * [simplify]: Extracting #0: cost 1 inf + 0 2.846 * * [simplify]: Extracting #1: cost 3 inf + 0 2.846 * * [simplify]: Extracting #2: cost 9 inf + 0 2.847 * * [simplify]: Extracting #3: cost 105 inf + 2 2.848 * * [simplify]: Extracting #4: cost 286 inf + 6 2.850 * * [simplify]: Extracting #5: cost 280 inf + 1923 2.859 * * [simplify]: Extracting #6: cost 191 inf + 25190 2.888 * * [simplify]: Extracting #7: cost 26 inf + 76271 2.916 * * [simplify]: Extracting #8: cost 0 inf + 85028 2.937 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 2.938 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 2.938 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 2.938 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 2.939 * * [simplify]: iters left: 6 (12 enodes) 2.945 * * [simplify]: iters left: 5 (49 enodes) 2.962 * * [simplify]: iters left: 4 (102 enodes) 3.012 * * [simplify]: iters left: 3 (356 enodes) 3.249 * * [simplify]: Extracting #0: cost 1 inf + 0 3.249 * * [simplify]: Extracting #1: cost 4 inf + 0 3.249 * * [simplify]: Extracting #2: cost 116 inf + 1 3.252 * * [simplify]: Extracting #3: cost 234 inf + 254 3.255 * * [simplify]: Extracting #4: cost 192 inf + 4198 3.263 * * [simplify]: Extracting #5: cost 121 inf + 19235 3.276 * * [simplify]: Extracting #6: cost 5 inf + 46310 3.295 * * [simplify]: Extracting #7: cost 0 inf + 47117 3.313 * * [simplify]: Extracting #8: cost 0 inf + 46998 3.342 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 3.342 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))) 3.342 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 3.342 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 3.342 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3.343 * * [simplify]: iters left: 6 (13 enodes) 3.349 * * [simplify]: iters left: 5 (52 enodes) 3.366 * * [simplify]: iters left: 4 (105 enodes) 3.397 * * [simplify]: iters left: 3 (359 enodes) 3.643 * * [simplify]: Extracting #0: cost 1 inf + 0 3.643 * * [simplify]: Extracting #1: cost 3 inf + 0 3.643 * * [simplify]: Extracting #2: cost 6 inf + 0 3.643 * * [simplify]: Extracting #3: cost 118 inf + 1 3.645 * * [simplify]: Extracting #4: cost 235 inf + 336 3.647 * * [simplify]: Extracting #5: cost 193 inf + 4402 3.654 * * [simplify]: Extracting #6: cost 119 inf + 19348 3.669 * * [simplify]: Extracting #7: cost 7 inf + 46040 3.683 * * [simplify]: Extracting #8: cost 0 inf + 47488 3.707 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 3.707 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))) 3.708 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 3.708 * * * * [progress]: [ 16 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))> 3.708 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 3.708 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.709 * * [simplify]: iters left: 6 (16 enodes) 3.717 * * [simplify]: iters left: 5 (67 enodes) 3.731 * * [simplify]: iters left: 4 (143 enodes) 3.778 * * [simplify]: iters left: 3 (434 enodes) 4.060 * * [simplify]: Extracting #0: cost 1 inf + 0 4.060 * * [simplify]: Extracting #1: cost 19 inf + 0 4.060 * * [simplify]: Extracting #2: cost 31 inf + 2 4.060 * * [simplify]: Extracting #3: cost 36 inf + 44 4.061 * * [simplify]: Extracting #4: cost 142 inf + 89 4.065 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.087 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.120 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.155 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.178 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.178 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 4.178 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 4.178 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.178 * * [simplify]: iters left: 6 (16 enodes) 4.183 * * [simplify]: iters left: 5 (67 enodes) 4.195 * * [simplify]: iters left: 4 (143 enodes) 4.243 * * [simplify]: iters left: 3 (434 enodes) 4.524 * * [simplify]: Extracting #0: cost 1 inf + 0 4.524 * * [simplify]: Extracting #1: cost 19 inf + 0 4.525 * * [simplify]: Extracting #2: cost 31 inf + 2 4.525 * * [simplify]: Extracting #3: cost 36 inf + 44 4.525 * * [simplify]: Extracting #4: cost 142 inf + 89 4.527 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.538 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.555 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.572 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.593 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.593 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 4.593 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 4.593 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.593 * * [simplify]: iters left: 6 (16 enodes) 4.598 * * [simplify]: iters left: 5 (67 enodes) 4.609 * * [simplify]: iters left: 4 (143 enodes) 4.642 * * [simplify]: iters left: 3 (434 enodes) 4.836 * * [simplify]: Extracting #0: cost 1 inf + 0 4.836 * * [simplify]: Extracting #1: cost 19 inf + 0 4.836 * * [simplify]: Extracting #2: cost 31 inf + 2 4.837 * * [simplify]: Extracting #3: cost 36 inf + 44 4.837 * * [simplify]: Extracting #4: cost 142 inf + 89 4.841 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.858 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.875 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.902 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.939 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.939 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 4.939 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 4.940 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.940 * * [simplify]: iters left: 6 (16 enodes) 4.948 * * [simplify]: iters left: 5 (67 enodes) 4.971 * * [simplify]: iters left: 4 (143 enodes) 5.032 * * [simplify]: iters left: 3 (434 enodes) 5.309 * * [simplify]: Extracting #0: cost 1 inf + 0 5.310 * * [simplify]: Extracting #1: cost 19 inf + 0 5.310 * * [simplify]: Extracting #2: cost 31 inf + 2 5.310 * * [simplify]: Extracting #3: cost 36 inf + 44 5.311 * * [simplify]: Extracting #4: cost 142 inf + 89 5.314 * * [simplify]: Extracting #5: cost 232 inf + 4336 5.336 * * [simplify]: Extracting #6: cost 40 inf + 43927 5.370 * * [simplify]: Extracting #7: cost 2 inf + 54059 5.408 * * [simplify]: Extracting #8: cost 0 inf + 54749 5.428 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.428 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 5.428 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 5.428 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 5.428 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J))) 5.428 * * [simplify]: iters left: 6 (21 enodes) 5.434 * * [simplify]: iters left: 5 (83 enodes) 5.449 * * [simplify]: iters left: 4 (159 enodes) 5.502 * * [simplify]: iters left: 3 (450 enodes) 5.745 * * [simplify]: Extracting #0: cost 1 inf + 0 5.745 * * [simplify]: Extracting #1: cost 17 inf + 0 5.745 * * [simplify]: Extracting #2: cost 35 inf + 0 5.745 * * [simplify]: Extracting #3: cost 35 inf + 144 5.746 * * [simplify]: Extracting #4: cost 39 inf + 397 5.746 * * [simplify]: Extracting #5: cost 149 inf + 653 5.750 * * [simplify]: Extracting #6: cost 241 inf + 4041 5.767 * * [simplify]: Extracting #7: cost 67 inf + 41321 5.787 * * [simplify]: Extracting #8: cost 2 inf + 59818 5.808 * * [simplify]: Extracting #9: cost 0 inf + 60617 5.840 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))) 5.840 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))))) 5.840 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 5.840 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 5.840 * * [simplify]: iters left: 6 (19 enodes) 5.846 * * [simplify]: iters left: 5 (77 enodes) 5.859 * * [simplify]: iters left: 4 (149 enodes) 5.918 * * [simplify]: iters left: 3 (437 enodes) 6.199 * * [simplify]: Extracting #0: cost 1 inf + 0 6.199 * * [simplify]: Extracting #1: cost 16 inf + 0 6.200 * * [simplify]: Extracting #2: cost 35 inf + 0 6.200 * * [simplify]: Extracting #3: cost 36 inf + 144 6.200 * * [simplify]: Extracting #4: cost 39 inf + 579 6.201 * * [simplify]: Extracting #5: cost 147 inf + 653 6.205 * * [simplify]: Extracting #6: cost 234 inf + 5707 6.226 * * [simplify]: Extracting #7: cost 48 inf + 45584 6.261 * * [simplify]: Extracting #8: cost 2 inf + 58533 6.279 * * [simplify]: Extracting #9: cost 0 inf + 59248 6.307 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 6.307 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 6.308 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 6.308 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 6.308 * * [simplify]: iters left: 6 (20 enodes) 6.319 * * [simplify]: iters left: 5 (81 enodes) 6.333 * * [simplify]: iters left: 4 (153 enodes) 6.372 * * [simplify]: iters left: 3 (441 enodes) 6.667 * * [simplify]: Extracting #0: cost 1 inf + 0 6.667 * * [simplify]: Extracting #1: cost 16 inf + 0 6.668 * * [simplify]: Extracting #2: cost 35 inf + 0 6.668 * * [simplify]: Extracting #3: cost 38 inf + 2 6.668 * * [simplify]: Extracting #4: cost 42 inf + 144 6.669 * * [simplify]: Extracting #5: cost 145 inf + 653 6.672 * * [simplify]: Extracting #6: cost 246 inf + 3631 6.689 * * [simplify]: Extracting #7: cost 70 inf + 39778 6.726 * * [simplify]: Extracting #8: cost 2 inf + 58947 6.762 * * [simplify]: Extracting #9: cost 0 inf + 59856 6.797 * * [simplify]: Extracting #10: cost 0 inf + 59855 6.817 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 6.817 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) 6.817 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 6.817 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 6.817 * * [simplify]: iters left: 6 (18 enodes) 6.822 * * [simplify]: iters left: 5 (75 enodes) 6.837 * * [simplify]: iters left: 4 (146 enodes) 6.881 * * [simplify]: iters left: 3 (432 enodes) 7.153 * * [simplify]: Extracting #0: cost 1 inf + 0 7.154 * * [simplify]: Extracting #1: cost 16 inf + 0 7.154 * * [simplify]: Extracting #2: cost 36 inf + 0 7.154 * * [simplify]: Extracting #3: cost 38 inf + 144 7.155 * * [simplify]: Extracting #4: cost 41 inf + 468 7.155 * * [simplify]: Extracting #5: cost 150 inf + 653 7.161 * * [simplify]: Extracting #6: cost 220 inf + 8356 7.180 * * [simplify]: Extracting #7: cost 49 inf + 44223 7.213 * * [simplify]: Extracting #8: cost 4 inf + 57371 7.248 * * [simplify]: Extracting #9: cost 0 inf + 59271 7.270 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 7.271 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))))) 7.271 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.271 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.271 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.271 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 7.271 * * [simplify]: iters left: 6 (25 enodes) 7.282 * * [simplify]: iters left: 5 (106 enodes) 7.320 * * [simplify]: iters left: 4 (290 enodes) 7.505 * * [simplify]: Extracting #0: cost 1 inf + 0 7.505 * * [simplify]: Extracting #1: cost 60 inf + 0 7.506 * * [simplify]: Extracting #2: cost 290 inf + 4 7.508 * * [simplify]: Extracting #3: cost 386 inf + 336 7.513 * * [simplify]: Extracting #4: cost 335 inf + 25383 7.533 * * [simplify]: Extracting #5: cost 110 inf + 100606 7.583 * * [simplify]: Extracting #6: cost 6 inf + 147667 7.644 * * [simplify]: Extracting #7: cost 0 inf + 150742 7.690 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 7.690 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) 7.690 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.690 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 7.691 * * [simplify]: iters left: 6 (22 enodes) 7.699 * * [simplify]: iters left: 5 (100 enodes) 7.740 * * [simplify]: iters left: 4 (294 enodes) 7.929 * * [simplify]: Extracting #0: cost 1 inf + 0 7.929 * * [simplify]: Extracting #1: cost 60 inf + 0 7.929 * * [simplify]: Extracting #2: cost 296 inf + 45 7.931 * * [simplify]: Extracting #3: cost 387 inf + 838 7.937 * * [simplify]: Extracting #4: cost 321 inf + 30714 7.976 * * [simplify]: Extracting #5: cost 92 inf + 107949 8.024 * * [simplify]: Extracting #6: cost 2 inf + 149823 8.075 * * [simplify]: Extracting #7: cost 0 inf + 150712 8.151 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 8.151 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 8.151 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 8.152 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 8.152 * * [simplify]: iters left: 6 (23 enodes) 8.159 * * [simplify]: iters left: 5 (106 enodes) 8.180 * * [simplify]: iters left: 4 (272 enodes) 8.278 * * [simplify]: Extracting #0: cost 1 inf + 0 8.278 * * [simplify]: Extracting #1: cost 52 inf + 0 8.279 * * [simplify]: Extracting #2: cost 237 inf + 2 8.281 * * [simplify]: Extracting #3: cost 242 inf + 291 8.284 * * [simplify]: Extracting #4: cost 268 inf + 3688 8.301 * * [simplify]: Extracting #5: cost 226 inf + 37118 8.336 * * [simplify]: Extracting #6: cost 18 inf + 117250 8.398 * * [simplify]: Extracting #7: cost 0 inf + 126135 8.452 * * [simplify]: Extracting #8: cost 0 inf + 126134 8.525 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 8.525 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 8.525 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 8.526 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 8.526 * * [simplify]: iters left: 6 (20 enodes) 8.538 * * [simplify]: iters left: 5 (100 enodes) 8.579 * * [simplify]: iters left: 4 (276 enodes) 8.706 * * [simplify]: Extracting #0: cost 1 inf + 0 8.706 * * [simplify]: Extracting #1: cost 53 inf + 0 8.707 * * [simplify]: Extracting #2: cost 239 inf + 43 8.709 * * [simplify]: Extracting #3: cost 239 inf + 415 8.712 * * [simplify]: Extracting #4: cost 270 inf + 3145 8.722 * * [simplify]: Extracting #5: cost 251 inf + 23178 8.751 * * [simplify]: Extracting #6: cost 106 inf + 68699 8.807 * * [simplify]: Extracting #7: cost 10 inf + 115190 8.876 * * [simplify]: Extracting #8: cost 0 inf + 120330 8.942 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 8.942 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 8.942 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 8.943 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 8.943 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 8.943 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 8.943 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 8.943 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 8.943 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 8.943 * * [simplify]: iters left: 6 (13 enodes) 8.950 * * [simplify]: iters left: 5 (52 enodes) 8.967 * * [simplify]: iters left: 4 (105 enodes) 9.005 * * [simplify]: iters left: 3 (359 enodes) 9.256 * * [simplify]: Extracting #0: cost 1 inf + 0 9.256 * * [simplify]: Extracting #1: cost 3 inf + 0 9.256 * * [simplify]: Extracting #2: cost 6 inf + 0 9.256 * * [simplify]: Extracting #3: cost 118 inf + 1 9.257 * * [simplify]: Extracting #4: cost 235 inf + 336 9.259 * * [simplify]: Extracting #5: cost 193 inf + 4402 9.264 * * [simplify]: Extracting #6: cost 119 inf + 19348 9.288 * * [simplify]: Extracting #7: cost 7 inf + 46040 9.313 * * [simplify]: Extracting #8: cost 0 inf + 47488 9.328 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 9.328 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J)))) 9.328 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 9.328 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J)) 9.328 * * [simplify]: iters left: 6 (19 enodes) 9.334 * * [simplify]: iters left: 5 (85 enodes) 9.355 * * [simplify]: iters left: 4 (216 enodes) 9.469 * * [simplify]: Extracting #0: cost 1 inf + 0 9.469 * * [simplify]: Extracting #1: cost 16 inf + 0 9.469 * * [simplify]: Extracting #2: cost 27 inf + 44 9.469 * * [simplify]: Extracting #3: cost 32 inf + 86 9.470 * * [simplify]: Extracting #4: cost 125 inf + 89 9.471 * * [simplify]: Extracting #5: cost 329 inf + 858 9.476 * * [simplify]: Extracting #6: cost 272 inf + 29285 9.493 * * [simplify]: Extracting #7: cost 76 inf + 96357 9.536 * * [simplify]: Extracting #8: cost 1 inf + 124961 9.565 * * [simplify]: Extracting #9: cost 0 inf + 125265 9.621 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) 9.621 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 9.621 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 9.622 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J)) 9.622 * * [simplify]: iters left: 6 (18 enodes) 9.632 * * [simplify]: iters left: 5 (77 enodes) 9.663 * * [simplify]: iters left: 4 (190 enodes) 9.795 * * [simplify]: Extracting #0: cost 1 inf + 0 9.795 * * [simplify]: Extracting #1: cost 16 inf + 0 9.795 * * [simplify]: Extracting #2: cost 28 inf + 2 9.795 * * [simplify]: Extracting #3: cost 35 inf + 86 9.795 * * [simplify]: Extracting #4: cost 122 inf + 90 9.796 * * [simplify]: Extracting #5: cost 296 inf + 1624 9.812 * * [simplify]: Extracting #6: cost 126 inf + 54777 9.850 * * [simplify]: Extracting #7: cost 1 inf + 93095 9.894 * * [simplify]: Extracting #8: cost 0 inf + 93560 9.914 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) 9.914 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 9.915 * * * * [progress]: [ 40 / 143 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))> 9.915 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 9.915 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 9.915 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 9.915 * * [simplify]: iters left: 6 (9 enodes) 9.918 * * [simplify]: iters left: 5 (33 enodes) 9.924 * * [simplify]: iters left: 4 (51 enodes) 9.933 * * [simplify]: iters left: 3 (68 enodes) 9.944 * * [simplify]: iters left: 2 (73 enodes) 9.953 * * [simplify]: Extracting #0: cost 1 inf + 0 9.953 * * [simplify]: Extracting #1: cost 12 inf + 0 9.954 * * [simplify]: Extracting #2: cost 21 inf + 3 9.954 * * [simplify]: Extracting #3: cost 21 inf + 337 9.954 * * [simplify]: Extracting #4: cost 12 inf + 1158 9.954 * * [simplify]: Extracting #5: cost 0 inf + 3114 9.955 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 9.955 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 9.955 * [simplify]: Simplifying (+ 1 1) 9.955 * * [simplify]: iters left: 2 (2 enodes) 9.957 * * [simplify]: iters left: 1 (9 enodes) 9.959 * * [simplify]: Extracting #0: cost 1 inf + 0 9.959 * * [simplify]: Extracting #1: cost 0 inf + 1 9.959 * [simplify]: Simplified to 2 9.959 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 9.959 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 9.959 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 9.959 * * [simplify]: iters left: 6 (10 enodes) 9.962 * * [simplify]: iters left: 5 (40 enodes) 9.969 * * [simplify]: iters left: 4 (91 enodes) 10.004 * * [simplify]: iters left: 3 (345 enodes) 10.185 * * [simplify]: Extracting #0: cost 1 inf + 0 10.186 * * [simplify]: Extracting #1: cost 119 inf + 0 10.187 * * [simplify]: Extracting #2: cost 236 inf + 45 10.188 * * [simplify]: Extracting #3: cost 207 inf + 2474 10.196 * * [simplify]: Extracting #4: cost 104 inf + 22392 10.214 * * [simplify]: Extracting #5: cost 6 inf + 45410 10.228 * * [simplify]: Extracting #6: cost 0 inf + 46788 10.245 * * [simplify]: Extracting #7: cost 0 inf + 46787 10.259 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 10.259 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (* (cos (/ K 2)) J))) 10.260 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.260 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.260 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.260 * * [simplify]: iters left: 6 (9 enodes) 10.263 * * [simplify]: iters left: 5 (33 enodes) 10.268 * * [simplify]: iters left: 4 (51 enodes) 10.277 * * [simplify]: iters left: 3 (68 enodes) 10.293 * * [simplify]: iters left: 2 (73 enodes) 10.302 * * [simplify]: Extracting #0: cost 1 inf + 0 10.302 * * [simplify]: Extracting #1: cost 12 inf + 0 10.302 * * [simplify]: Extracting #2: cost 21 inf + 3 10.302 * * [simplify]: Extracting #3: cost 21 inf + 337 10.303 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.303 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.304 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.304 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 10.304 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.304 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.304 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 10.304 * * [simplify]: iters left: 6 (14 enodes) 10.308 * * [simplify]: iters left: 5 (54 enodes) 10.318 * * [simplify]: iters left: 4 (119 enodes) 10.371 * * [simplify]: iters left: 3 (457 enodes) 10.949 * * [simplify]: Extracting #0: cost 1 inf + 0 10.949 * * [simplify]: Extracting #1: cost 87 inf + 0 10.953 * * [simplify]: Extracting #2: cost 441 inf + 0 10.965 * * [simplify]: Extracting #3: cost 435 inf + 3488 10.974 * * [simplify]: Extracting #4: cost 350 inf + 25733 11.001 * * [simplify]: Extracting #5: cost 181 inf + 99937 11.075 * * [simplify]: Extracting #6: cost 13 inf + 179498 11.139 * * [simplify]: Extracting #7: cost 0 inf + 185853 11.209 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 11.209 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 11.209 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.209 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 11.210 * * [simplify]: iters left: 6 (18 enodes) 11.218 * * [simplify]: iters left: 5 (62 enodes) 11.239 * * [simplify]: iters left: 4 (132 enodes) 11.281 * * [simplify]: iters left: 3 (478 enodes) 11.804 * * [simplify]: Extracting #0: cost 1 inf + 0 11.805 * * [simplify]: Extracting #1: cost 82 inf + 0 11.808 * * [simplify]: Extracting #2: cost 445 inf + 0 11.813 * * [simplify]: Extracting #3: cost 428 inf + 6272 11.821 * * [simplify]: Extracting #4: cost 350 inf + 27083 11.835 * * [simplify]: Extracting #5: cost 195 inf + 92277 11.879 * * [simplify]: Extracting #6: cost 8 inf + 176798 11.938 * * [simplify]: Extracting #7: cost 0 inf + 179724 11.994 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 11.994 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 11.994 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 11.994 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 11.994 * * [simplify]: iters left: 6 (18 enodes) 11.999 * * [simplify]: iters left: 5 (75 enodes) 12.013 * * [simplify]: iters left: 4 (150 enodes) 12.069 * * [simplify]: iters left: 3 (441 enodes) 12.486 * * [simplify]: Extracting #0: cost 1 inf + 0 12.486 * * [simplify]: Extracting #1: cost 83 inf + 0 12.490 * * [simplify]: Extracting #2: cost 392 inf + 0 12.496 * * [simplify]: Extracting #3: cost 353 inf + 11476 12.504 * * [simplify]: Extracting #4: cost 305 inf + 24860 12.529 * * [simplify]: Extracting #5: cost 144 inf + 93825 12.571 * * [simplify]: Extracting #6: cost 4 inf + 152810 12.633 * * [simplify]: Extracting #7: cost 0 inf + 148235 12.666 * * [simplify]: Extracting #8: cost 0 inf + 147415 12.712 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.712 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 12.712 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 12.713 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 12.713 * * [simplify]: iters left: 6 (18 enodes) 12.721 * * [simplify]: iters left: 5 (73 enodes) 12.745 * * [simplify]: iters left: 4 (158 enodes) 12.808 * * [simplify]: iters left: 3 (401 enodes) 13.011 * * [simplify]: Extracting #0: cost 1 inf + 0 13.012 * * [simplify]: Extracting #1: cost 75 inf + 0 13.012 * * [simplify]: Extracting #2: cost 294 inf + 0 13.014 * * [simplify]: Extracting #3: cost 333 inf + 1095 13.016 * * [simplify]: Extracting #4: cost 297 inf + 8726 13.029 * * [simplify]: Extracting #5: cost 207 inf + 35649 13.060 * * [simplify]: Extracting #6: cost 32 inf + 113007 13.085 * * [simplify]: Extracting #7: cost 3 inf + 120686 13.115 * * [simplify]: Extracting #8: cost 0 inf + 119948 13.145 * * [simplify]: Extracting #9: cost 0 inf + 119908 13.192 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 13.193 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 13.193 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 13.193 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 13.193 * * [simplify]: iters left: 6 (18 enodes) 13.202 * * [simplify]: iters left: 5 (63 enodes) 13.221 * * [simplify]: iters left: 4 (128 enodes) 13.284 * * [simplify]: iters left: 3 (467 enodes) 14.105 * * [simplify]: Extracting #0: cost 1 inf + 0 14.105 * * [simplify]: Extracting #1: cost 87 inf + 0 14.107 * * [simplify]: Extracting #2: cost 459 inf + 0 14.114 * * [simplify]: Extracting #3: cost 444 inf + 6063 14.118 * * [simplify]: Extracting #4: cost 367 inf + 26781 14.132 * * [simplify]: Extracting #5: cost 208 inf + 91682 14.187 * * [simplify]: Extracting #6: cost 16 inf + 181307 14.267 * * [simplify]: Extracting #7: cost 0 inf + 189267 14.348 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 14.348 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (* (cos (/ K 2)) J))) 14.348 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 14.349 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 14.349 * * [simplify]: iters left: 6 (13 enodes) 14.355 * * [simplify]: iters left: 5 (52 enodes) 14.373 * * [simplify]: iters left: 4 (107 enodes) 14.423 * * [simplify]: iters left: 3 (365 enodes) 14.736 * * [simplify]: Extracting #0: cost 1 inf + 0 14.736 * * [simplify]: Extracting #1: cost 73 inf + 0 14.739 * * [simplify]: Extracting #2: cost 366 inf + 0 14.743 * * [simplify]: Extracting #3: cost 356 inf + 3306 14.748 * * [simplify]: Extracting #4: cost 311 inf + 14304 14.755 * * [simplify]: Extracting #5: cost 182 inf + 63744 14.786 * * [simplify]: Extracting #6: cost 3 inf + 143874 14.846 * * [simplify]: Extracting #7: cost 0 inf + 144974 14.910 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 14.910 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 14.911 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 14.911 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 14.911 * * [simplify]: iters left: 6 (16 enodes) 14.920 * * [simplify]: iters left: 5 (63 enodes) 14.943 * * [simplify]: iters left: 4 (135 enodes) 14.994 * * [simplify]: iters left: 3 (409 enodes) 15.307 * * [simplify]: Extracting #0: cost 1 inf + 0 15.307 * * [simplify]: Extracting #1: cost 70 inf + 0 15.309 * * [simplify]: Extracting #2: cost 384 inf + 0 15.311 * * [simplify]: Extracting #3: cost 371 inf + 5484 15.314 * * [simplify]: Extracting #4: cost 306 inf + 22123 15.324 * * [simplify]: Extracting #5: cost 174 inf + 73482 15.369 * * [simplify]: Extracting #6: cost 9 inf + 144143 15.399 * * [simplify]: Extracting #7: cost 0 inf + 144938 15.455 * * [simplify]: Extracting #8: cost 0 inf + 144748 15.496 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 15.496 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 15.496 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.497 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 15.497 * * [simplify]: iters left: 6 (16 enodes) 15.501 * * [simplify]: iters left: 5 (67 enodes) 15.512 * * [simplify]: iters left: 4 (136 enodes) 15.539 * * [simplify]: iters left: 3 (364 enodes) 15.727 * * [simplify]: Extracting #0: cost 1 inf + 0 15.728 * * [simplify]: Extracting #1: cost 62 inf + 0 15.729 * * [simplify]: Extracting #2: cost 325 inf + 0 15.733 * * [simplify]: Extracting #3: cost 344 inf + 4236 15.736 * * [simplify]: Extracting #4: cost 302 inf + 14346 15.744 * * [simplify]: Extracting #5: cost 171 inf + 62575 15.766 * * [simplify]: Extracting #6: cost 9 inf + 127185 15.798 * * [simplify]: Extracting #7: cost 0 inf + 124566 15.832 * * [simplify]: Extracting #8: cost 0 inf + 124346 15.856 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 15.856 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 15.856 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 15.856 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 15.856 * * [simplify]: iters left: 6 (18 enodes) 15.861 * * [simplify]: iters left: 5 (75 enodes) 15.874 * * [simplify]: iters left: 4 (153 enodes) 15.912 * * [simplify]: iters left: 3 (475 enodes) 16.239 * * [simplify]: Extracting #0: cost 1 inf + 0 16.240 * * [simplify]: Extracting #1: cost 84 inf + 0 16.242 * * [simplify]: Extracting #2: cost 434 inf + 0 16.247 * * [simplify]: Extracting #3: cost 400 inf + 11081 16.259 * * [simplify]: Extracting #4: cost 349 inf + 23822 16.281 * * [simplify]: Extracting #5: cost 211 inf + 78498 16.336 * * [simplify]: Extracting #6: cost 13 inf + 162504 16.373 * * [simplify]: Extracting #7: cost 0 inf + 165480 16.422 * * [simplify]: Extracting #8: cost 0 inf + 165120 16.466 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 16.467 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.467 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 16.467 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 16.467 * * [simplify]: iters left: 6 (16 enodes) 16.475 * * [simplify]: iters left: 5 (63 enodes) 16.498 * * [simplify]: iters left: 4 (131 enodes) 16.539 * * [simplify]: iters left: 3 (400 enodes) 16.835 * * [simplify]: Extracting #0: cost 1 inf + 0 16.835 * * [simplify]: Extracting #1: cost 73 inf + 0 16.836 * * [simplify]: Extracting #2: cost 360 inf + 0 16.838 * * [simplify]: Extracting #3: cost 368 inf + 1570 16.841 * * [simplify]: Extracting #4: cost 284 inf + 22316 16.850 * * [simplify]: Extracting #5: cost 181 inf + 60735 16.908 * * [simplify]: Extracting #6: cost 16 inf + 128257 16.966 * * [simplify]: Extracting #7: cost 0 inf + 132824 17.028 * * [simplify]: Extracting #8: cost 0 inf + 132754 17.061 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 17.061 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (* (cos (/ K 2)) J))) 17.061 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 17.062 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 17.062 * * [simplify]: iters left: 6 (12 enodes) 17.065 * * [simplify]: iters left: 5 (49 enodes) 17.079 * * [simplify]: iters left: 4 (96 enodes) 17.109 * * [simplify]: iters left: 3 (241 enodes) 17.236 * * [simplify]: Extracting #0: cost 1 inf + 0 17.236 * * [simplify]: Extracting #1: cost 49 inf + 0 17.237 * * [simplify]: Extracting #2: cost 251 inf + 0 17.238 * * [simplify]: Extracting #3: cost 249 inf + 1539 17.240 * * [simplify]: Extracting #4: cost 212 inf + 9334 17.242 * * [simplify]: Extracting #5: cost 194 inf + 13677 17.245 * * [simplify]: Extracting #6: cost 164 inf + 24866 17.263 * * [simplify]: Extracting #7: cost 45 inf + 75345 17.296 * * [simplify]: Extracting #8: cost 2 inf + 93245 17.316 * * [simplify]: Extracting #9: cost 0 inf + 93841 17.340 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.340 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 17.340 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 17.340 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 17.340 * * [simplify]: iters left: 6 (14 enodes) 17.344 * * [simplify]: iters left: 5 (54 enodes) 17.353 * * [simplify]: iters left: 4 (109 enodes) 17.375 * * [simplify]: iters left: 3 (265 enodes) 17.540 * * [simplify]: Extracting #0: cost 1 inf + 0 17.540 * * [simplify]: Extracting #1: cost 49 inf + 0 17.540 * * [simplify]: Extracting #2: cost 242 inf + 0 17.541 * * [simplify]: Extracting #3: cost 259 inf + 523 17.543 * * [simplify]: Extracting #4: cost 212 inf + 10345 17.546 * * [simplify]: Extracting #5: cost 159 inf + 24153 17.559 * * [simplify]: Extracting #6: cost 18 inf + 79713 17.589 * * [simplify]: Extracting #7: cost 0 inf + 86997 17.621 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 17.621 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 17.621 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 17.622 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 17.622 * * [simplify]: iters left: 6 (18 enodes) 17.631 * * [simplify]: iters left: 5 (73 enodes) 17.658 * * [simplify]: iters left: 4 (156 enodes) 17.715 * * [simplify]: iters left: 3 (366 enodes) 17.906 * * [simplify]: Extracting #0: cost 1 inf + 0 17.906 * * [simplify]: Extracting #1: cost 81 inf + 0 17.907 * * [simplify]: Extracting #2: cost 315 inf + 0 17.908 * * [simplify]: Extracting #3: cost 336 inf + 1721 17.914 * * [simplify]: Extracting #4: cost 282 inf + 12964 17.922 * * [simplify]: Extracting #5: cost 226 inf + 27763 17.956 * * [simplify]: Extracting #6: cost 44 inf + 102658 18.001 * * [simplify]: Extracting #7: cost 0 inf + 118994 18.048 * * [simplify]: Extracting #8: cost 0 inf + 118854 18.092 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.092 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.092 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 18.092 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 18.092 * * [simplify]: iters left: 6 (16 enodes) 18.097 * * [simplify]: iters left: 5 (67 enodes) 18.108 * * [simplify]: iters left: 4 (134 enodes) 18.135 * * [simplify]: iters left: 3 (341 enodes) 18.317 * * [simplify]: Extracting #0: cost 1 inf + 0 18.317 * * [simplify]: Extracting #1: cost 69 inf + 0 18.318 * * [simplify]: Extracting #2: cost 344 inf + 0 18.321 * * [simplify]: Extracting #3: cost 365 inf + 1843 18.326 * * [simplify]: Extracting #4: cost 320 inf + 11850 18.345 * * [simplify]: Extracting #5: cost 166 inf + 66434 18.372 * * [simplify]: Extracting #6: cost 7 inf + 128209 18.397 * * [simplify]: Extracting #7: cost 0 inf + 129716 18.423 * * [simplify]: Extracting #8: cost 0 inf + 129576 18.457 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.457 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.458 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 18.458 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 18.458 * * [simplify]: iters left: 6 (14 enodes) 18.462 * * [simplify]: iters left: 5 (54 enodes) 18.470 * * [simplify]: iters left: 4 (106 enodes) 18.488 * * [simplify]: iters left: 3 (231 enodes) 18.560 * * [simplify]: Extracting #0: cost 1 inf + 0 18.560 * * [simplify]: Extracting #1: cost 64 inf + 0 18.561 * * [simplify]: Extracting #2: cost 246 inf + 0 18.562 * * [simplify]: Extracting #3: cost 259 inf + 560 18.563 * * [simplify]: Extracting #4: cost 218 inf + 8763 18.567 * * [simplify]: Extracting #5: cost 148 inf + 29077 18.578 * * [simplify]: Extracting #6: cost 27 inf + 76331 18.596 * * [simplify]: Extracting #7: cost 0 inf + 87431 18.611 * * [simplify]: Extracting #8: cost 0 inf + 87391 18.626 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.626 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.626 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 18.626 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 18.627 * * [simplify]: iters left: 6 (11 enodes) 18.630 * * [simplify]: iters left: 5 (42 enodes) 18.639 * * [simplify]: iters left: 4 (79 enodes) 18.665 * * [simplify]: iters left: 3 (176 enodes) 18.709 * * [simplify]: iters left: 2 (491 enodes) 19.206 * * [simplify]: Extracting #0: cost 1 inf + 0 19.207 * * [simplify]: Extracting #1: cost 79 inf + 0 19.208 * * [simplify]: Extracting #2: cost 424 inf + 0 19.212 * * [simplify]: Extracting #3: cost 434 inf + 1374 19.219 * * [simplify]: Extracting #4: cost 365 inf + 15165 19.239 * * [simplify]: Extracting #5: cost 222 inf + 60738 19.305 * * [simplify]: Extracting #6: cost 20 inf + 142135 19.373 * * [simplify]: Extracting #7: cost 0 inf + 147485 19.444 * * [simplify]: Extracting #8: cost 0 inf + 147405 19.483 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.483 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.484 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 19.484 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 19.484 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 19.484 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 19.484 * * [simplify]: iters left: 6 (18 enodes) 19.494 * * [simplify]: iters left: 5 (81 enodes) 19.530 * * [simplify]: iters left: 4 (297 enodes) 20.053 * * [simplify]: Extracting #0: cost 1 inf + 0 20.054 * * [simplify]: Extracting #1: cost 317 inf + 0 20.062 * * [simplify]: Extracting #2: cost 1360 inf + 1186 20.076 * * [simplify]: Extracting #3: cost 1159 inf + 28787 20.088 * * [simplify]: Extracting #4: cost 1067 inf + 46078 20.099 * * [simplify]: Extracting #5: cost 1058 inf + 48222 20.162 * * [simplify]: Extracting #6: cost 700 inf + 217292 20.332 * * [simplify]: Extracting #7: cost 50 inf + 478678 20.504 * * [simplify]: Extracting #8: cost 0 inf + 450895 20.659 * * [simplify]: Extracting #9: cost 0 inf + 450215 20.828 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 20.828 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 20.829 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 20.829 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 20.829 * * [simplify]: iters left: 6 (23 enodes) 20.837 * * [simplify]: iters left: 5 (116 enodes) 20.881 * * [simplify]: iters left: 4 (394 enodes) 21.940 * * [simplify]: Extracting #0: cost 1 inf + 0 21.940 * * [simplify]: Extracting #1: cost 305 inf + 0 21.944 * * [simplify]: Extracting #2: cost 1687 inf + 1266 21.964 * * [simplify]: Extracting #3: cost 1524 inf + 28963 21.995 * * [simplify]: Extracting #4: cost 1425 inf + 42935 22.040 * * [simplify]: Extracting #5: cost 1007 inf + 187192 22.194 * * [simplify]: Extracting #6: cost 91 inf + 536933 22.421 * * [simplify]: Extracting #7: cost 0 inf + 555816 22.651 * * [simplify]: Extracting #8: cost 0 inf + 555016 22.869 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 22.869 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 22.869 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 22.870 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 22.870 * * [simplify]: iters left: 6 (23 enodes) 22.879 * * [simplify]: iters left: 5 (117 enodes) 22.917 * * [simplify]: Extracting #0: cost 1 inf + 0 22.917 * * [simplify]: Extracting #1: cost 57 inf + 0 22.918 * * [simplify]: Extracting #2: cost 198 inf + 1 22.919 * * [simplify]: Extracting #3: cost 196 inf + 1963 22.922 * * [simplify]: Extracting #4: cost 175 inf + 4048 22.926 * * [simplify]: Extracting #5: cost 138 inf + 14158 22.941 * * [simplify]: Extracting #6: cost 38 inf + 45666 22.955 * * [simplify]: Extracting #7: cost 0 inf + 59703 22.969 * * [simplify]: Extracting #8: cost 0 inf + 58861 22.993 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 22.993 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 22.993 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 22.993 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 22.994 * * [simplify]: iters left: 6 (23 enodes) 23.007 * * [simplify]: iters left: 5 (110 enodes) 23.054 * * [simplify]: iters left: 4 (408 enodes) 23.770 * * [simplify]: Extracting #0: cost 1 inf + 0 23.772 * * [simplify]: Extracting #1: cost 349 inf + 0 23.779 * * [simplify]: Extracting #2: cost 1362 inf + 253 23.795 * * [simplify]: Extracting #3: cost 1372 inf + 8215 23.811 * * [simplify]: Extracting #4: cost 1293 inf + 19441 23.864 * * [simplify]: Extracting #5: cost 942 inf + 149702 24.014 * * [simplify]: Extracting #6: cost 118 inf + 513336 24.211 * * [simplify]: Extracting #7: cost 0 inf + 530464 24.452 * * [simplify]: Extracting #8: cost 0 inf + 526424 24.601 * * [simplify]: Extracting #9: cost 0 inf + 526264 24.793 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 24.793 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 24.793 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 24.794 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 24.794 * * [simplify]: iters left: 6 (23 enodes) 24.801 * * [simplify]: iters left: 5 (116 enodes) 24.836 * * [simplify]: iters left: 4 (400 enodes) 25.852 * * [simplify]: Extracting #0: cost 1 inf + 0 25.852 * * [simplify]: Extracting #1: cost 338 inf + 0 25.857 * * [simplify]: Extracting #2: cost 1775 inf + 1305 25.867 * * [simplify]: Extracting #3: cost 1631 inf + 26639 25.888 * * [simplify]: Extracting #4: cost 1492 inf + 45349 25.969 * * [simplify]: Extracting #5: cost 991 inf + 264110 26.174 * * [simplify]: Extracting #6: cost 19 inf + 641565 26.399 * * [simplify]: Extracting #7: cost 0 inf + 581792 26.601 * * [simplify]: Extracting #8: cost 0 inf + 581352 26.802 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 26.802 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (* (cos (/ K 2)) J))) 26.802 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 26.803 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 26.803 * * [simplify]: iters left: 6 (16 enodes) 26.814 * * [simplify]: iters left: 5 (79 enodes) 26.851 * * [simplify]: iters left: 4 (300 enodes) 27.443 * * [simplify]: Extracting #0: cost 1 inf + 0 27.444 * * [simplify]: Extracting #1: cost 276 inf + 0 27.451 * * [simplify]: Extracting #2: cost 1222 inf + 1113 27.459 * * [simplify]: Extracting #3: cost 1095 inf + 16811 27.468 * * [simplify]: Extracting #4: cost 1061 inf + 20800 27.500 * * [simplify]: Extracting #5: cost 657 inf + 183765 27.621 * * [simplify]: Extracting #6: cost 22 inf + 410882 27.787 * * [simplify]: Extracting #7: cost 0 inf + 405405 27.956 * * [simplify]: Extracting #8: cost 0 inf + 405114 28.107 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 28.107 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 28.108 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 28.108 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 28.108 * * [simplify]: iters left: 6 (20 enodes) 28.116 * * [simplify]: iters left: 5 (110 enodes) 28.157 * * [simplify]: iters left: 4 (486 enodes) 29.075 * * [simplify]: Extracting #0: cost 1 inf + 0 29.077 * * [simplify]: Extracting #1: cost 357 inf + 0 29.083 * * [simplify]: Extracting #2: cost 1671 inf + 4 29.092 * * [simplify]: Extracting #3: cost 1668 inf + 6826 29.110 * * [simplify]: Extracting #4: cost 1547 inf + 21334 29.152 * * [simplify]: Extracting #5: cost 1187 inf + 145252 29.354 * * [simplify]: Extracting #6: cost 120 inf + 563013 29.553 * * [simplify]: Extracting #7: cost 0 inf + 585634 29.754 * * [simplify]: Extracting #8: cost 0 inf + 584467 29.982 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 29.982 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 29.982 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 29.983 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 29.983 * * [simplify]: iters left: 6 (20 enodes) 29.990 * * [simplify]: iters left: 5 (104 enodes) 30.024 * * [simplify]: iters left: 4 (410 enodes) 30.714 * * [simplify]: Extracting #0: cost 1 inf + 0 30.716 * * [simplify]: Extracting #1: cost 320 inf + 0 30.723 * * [simplify]: Extracting #2: cost 1273 inf + 422 30.734 * * [simplify]: Extracting #3: cost 1300 inf + 5654 30.747 * * [simplify]: Extracting #4: cost 1233 inf + 13684 30.777 * * [simplify]: Extracting #5: cost 817 inf + 180631 30.930 * * [simplify]: Extracting #6: cost 86 inf + 457006 31.092 * * [simplify]: Extracting #7: cost 0 inf + 479132 31.282 * * [simplify]: Extracting #8: cost 0 inf + 478812 31.463 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 31.463 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 31.464 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 31.464 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 31.464 * * [simplify]: iters left: 6 (23 enodes) 31.473 * * [simplify]: iters left: 5 (117 enodes) 31.510 * * [simplify]: Extracting #0: cost 1 inf + 0 31.511 * * [simplify]: Extracting #1: cost 57 inf + 0 31.511 * * [simplify]: Extracting #2: cost 198 inf + 1 31.513 * * [simplify]: Extracting #3: cost 195 inf + 2086 31.515 * * [simplify]: Extracting #4: cost 174 inf + 4290 31.521 * * [simplify]: Extracting #5: cost 116 inf + 19820 31.535 * * [simplify]: Extracting #6: cost 12 inf + 57316 31.547 * * [simplify]: Extracting #7: cost 0 inf + 58322 31.559 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 31.559 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (* (cos (/ K 2)) J))) 31.559 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 31.560 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 31.560 * * [simplify]: iters left: 6 (20 enodes) 31.567 * * [simplify]: iters left: 5 (110 enodes) 31.624 * * [simplify]: iters left: 4 (486 enodes) 32.608 * * [simplify]: Extracting #0: cost 1 inf + 0 32.609 * * [simplify]: Extracting #1: cost 354 inf + 0 32.614 * * [simplify]: Extracting #2: cost 1732 inf + 947 32.624 * * [simplify]: Extracting #3: cost 1677 inf + 14777 32.652 * * [simplify]: Extracting #4: cost 1558 inf + 34201 32.781 * * [simplify]: Extracting #5: cost 538 inf + 431020 33.004 * * [simplify]: Extracting #6: cost 7 inf + 614791 33.265 * * [simplify]: Extracting #7: cost 0 inf + 600444 33.497 * * [simplify]: Extracting #8: cost 0 inf + 599228 33.716 * * [simplify]: Extracting #9: cost 0 inf + 599108 33.984 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 33.984 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J))) 33.984 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 33.984 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 33.985 * * [simplify]: iters left: 6 (14 enodes) 33.989 * * [simplify]: iters left: 5 (69 enodes) 34.009 * * [simplify]: iters left: 4 (284 enodes) 34.490 * * [simplify]: Extracting #0: cost 1 inf + 0 34.490 * * [simplify]: Extracting #1: cost 264 inf + 0 34.499 * * [simplify]: Extracting #2: cost 1048 inf + 621 34.505 * * [simplify]: Extracting #3: cost 1004 inf + 7706 34.510 * * [simplify]: Extracting #4: cost 992 inf + 8857 34.529 * * [simplify]: Extracting #5: cost 693 inf + 102376 35.057 * * [simplify]: Extracting #6: cost 68 inf + 348361 35.222 * * [simplify]: Extracting #7: cost 0 inf + 362304 35.376 * * [simplify]: Extracting #8: cost 0 inf + 360357 35.498 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 35.499 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 35.499 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 35.499 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 35.499 * * [simplify]: iters left: 6 (17 enodes) 35.506 * * [simplify]: iters left: 5 (87 enodes) 35.548 * * [simplify]: iters left: 4 (347 enodes) 36.218 * * [simplify]: Extracting #0: cost 1 inf + 0 36.219 * * [simplify]: Extracting #1: cost 232 inf + 0 36.225 * * [simplify]: Extracting #2: cost 1150 inf + 375 36.236 * * [simplify]: Extracting #3: cost 1098 inf + 7458 36.247 * * [simplify]: Extracting #4: cost 1069 inf + 11014 36.272 * * [simplify]: Extracting #5: cost 711 inf + 123503 36.404 * * [simplify]: Extracting #6: cost 36 inf + 371223 36.553 * * [simplify]: Extracting #7: cost 0 inf + 378721 36.688 * * [simplify]: Extracting #8: cost 0 inf + 378639 36.836 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 36.837 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 36.837 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 36.837 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 36.838 * * [simplify]: iters left: 6 (23 enodes) 36.854 * * [simplify]: iters left: 5 (110 enodes) 36.886 * * [simplify]: iters left: 4 (410 enodes) 37.498 * * [simplify]: Extracting #0: cost 1 inf + 0 37.499 * * [simplify]: Extracting #1: cost 359 inf + 0 37.506 * * [simplify]: Extracting #2: cost 1287 inf + 419 37.515 * * [simplify]: Extracting #3: cost 1261 inf + 9929 37.526 * * [simplify]: Extracting #4: cost 1180 inf + 21019 37.560 * * [simplify]: Extracting #5: cost 735 inf + 199153 37.715 * * [simplify]: Extracting #6: cost 8 inf + 499942 37.882 * * [simplify]: Extracting #7: cost 0 inf + 474987 38.033 * * [simplify]: Extracting #8: cost 0 inf + 473616 38.251 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 38.251 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 38.251 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 38.251 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 38.251 * * [simplify]: iters left: 6 (20 enodes) 38.259 * * [simplify]: iters left: 5 (104 enodes) 38.309 * * [simplify]: iters left: 4 (410 enodes) 38.893 * * [simplify]: Extracting #0: cost 1 inf + 0 38.894 * * [simplify]: Extracting #1: cost 333 inf + 0 38.898 * * [simplify]: Extracting #2: cost 1241 inf + 215 38.904 * * [simplify]: Extracting #3: cost 1232 inf + 5451 38.915 * * [simplify]: Extracting #4: cost 1158 inf + 14257 38.960 * * [simplify]: Extracting #5: cost 643 inf + 213569 39.113 * * [simplify]: Extracting #6: cost 28 inf + 452599 39.290 * * [simplify]: Extracting #7: cost 0 inf + 451462 39.427 * * [simplify]: Extracting #8: cost 0 inf + 451384 39.554 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 39.554 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 39.554 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 39.555 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 39.555 * * [simplify]: iters left: 6 (17 enodes) 39.560 * * [simplify]: iters left: 5 (87 enodes) 39.589 * * [simplify]: iters left: 4 (343 enodes) 40.188 * * [simplify]: Extracting #0: cost 1 inf + 0 40.188 * * [simplify]: Extracting #1: cost 233 inf + 0 40.194 * * [simplify]: Extracting #2: cost 1034 inf + 459 40.205 * * [simplify]: Extracting #3: cost 981 inf + 8158 40.216 * * [simplify]: Extracting #4: cost 963 inf + 10234 40.262 * * [simplify]: Extracting #5: cost 665 inf + 100602 40.383 * * [simplify]: Extracting #6: cost 35 inf + 335827 40.569 * * [simplify]: Extracting #7: cost 0 inf + 343092 40.698 * * [simplify]: Extracting #8: cost 0 inf + 342649 40.849 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 40.849 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 40.849 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 40.849 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 40.850 * * [simplify]: iters left: 6 (12 enodes) 40.853 * * [simplify]: iters left: 5 (55 enodes) 40.866 * * [simplify]: iters left: 4 (179 enodes) 41.062 * * [simplify]: Extracting #0: cost 1 inf + 0 41.063 * * [simplify]: Extracting #1: cost 111 inf + 0 41.065 * * [simplify]: Extracting #2: cost 476 inf + 4 41.069 * * [simplify]: Extracting #3: cost 509 inf + 1174 41.091 * * [simplify]: Extracting #4: cost 279 inf + 68658 41.165 * * [simplify]: Extracting #5: cost 18 inf + 157912 41.218 * * [simplify]: Extracting #6: cost 0 inf + 164075 41.284 * * [simplify]: Extracting #7: cost 0 inf + 164036 41.325 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 41.325 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 41.325 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 41.325 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 41.326 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 41.326 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 41.326 * [simplify]: Simplifying (* U U) 41.326 * * [simplify]: iters left: 2 (2 enodes) 41.326 * * [simplify]: iters left: 1 (6 enodes) 41.327 * * [simplify]: Extracting #0: cost 1 inf + 0 41.327 * * [simplify]: Extracting #1: cost 3 inf + 0 41.327 * * [simplify]: Extracting #2: cost 2 inf + 1 41.327 * * [simplify]: Extracting #3: cost 0 inf + 83 41.327 * [simplify]: Simplified to (* U U) 41.327 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 41.327 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 41.328 * * [simplify]: iters left: 6 (8 enodes) 41.330 * * [simplify]: iters left: 5 (36 enodes) 41.337 * * [simplify]: iters left: 4 (87 enodes) 41.369 * * [simplify]: iters left: 3 (207 enodes) 41.478 * * [simplify]: iters left: 2 (331 enodes) 41.554 * * [simplify]: iters left: 1 (343 enodes) 41.618 * * [simplify]: Extracting #0: cost 1 inf + 0 41.618 * * [simplify]: Extracting #1: cost 27 inf + 0 41.618 * * [simplify]: Extracting #2: cost 45 inf + 126 41.618 * * [simplify]: Extracting #3: cost 41 inf + 497 41.619 * * [simplify]: Extracting #4: cost 38 inf + 582 41.620 * * [simplify]: Extracting #5: cost 14 inf + 4770 41.622 * * [simplify]: Extracting #6: cost 0 inf + 7288 41.624 * * [simplify]: Extracting #7: cost 0 inf + 7248 41.627 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 41.627 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (* (cos (/ K 2)) J))) 41.627 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 41.627 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 41.627 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 41.627 * * [simplify]: iters left: 6 (12 enodes) 41.630 * * [simplify]: iters left: 5 (46 enodes) 41.638 * * [simplify]: iters left: 4 (68 enodes) 41.649 * * [simplify]: iters left: 3 (95 enodes) 41.664 * * [simplify]: iters left: 2 (144 enodes) 41.713 * * [simplify]: iters left: 1 (288 enodes) 41.798 * * [simplify]: Extracting #0: cost 1 inf + 0 41.798 * * [simplify]: Extracting #1: cost 71 inf + 0 41.799 * * [simplify]: Extracting #2: cost 140 inf + 46 41.799 * * [simplify]: Extracting #3: cost 128 inf + 636 41.800 * * [simplify]: Extracting #4: cost 111 inf + 2561 41.801 * * [simplify]: Extracting #5: cost 99 inf + 4759 41.806 * * [simplify]: Extracting #6: cost 26 inf + 35874 41.815 * * [simplify]: Extracting #7: cost 0 inf + 49849 41.826 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 41.826 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 41.826 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 41.826 * * [simplify]: iters left: 6 (11 enodes) 41.832 * * [simplify]: iters left: 5 (39 enodes) 41.843 * * [simplify]: iters left: 4 (57 enodes) 41.855 * * [simplify]: iters left: 3 (74 enodes) 41.864 * * [simplify]: iters left: 2 (79 enodes) 41.873 * * [simplify]: Extracting #0: cost 1 inf + 0 41.873 * * [simplify]: Extracting #1: cost 3 inf + 0 41.873 * * [simplify]: Extracting #2: cost 5 inf + 0 41.874 * * [simplify]: Extracting #3: cost 16 inf + 0 41.874 * * [simplify]: Extracting #4: cost 25 inf + 3 41.874 * * [simplify]: Extracting #5: cost 28 inf + 129 41.874 * * [simplify]: Extracting #6: cost 13 inf + 1889 41.875 * * [simplify]: Extracting #7: cost 3 inf + 3901 41.875 * * [simplify]: Extracting #8: cost 0 inf + 4410 41.876 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 41.876 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 41.876 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 41.877 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 41.877 * * [simplify]: iters left: 6 (11 enodes) 41.879 * * [simplify]: iters left: 5 (37 enodes) 41.887 * * [simplify]: iters left: 4 (56 enodes) 41.902 * * [simplify]: iters left: 3 (73 enodes) 41.913 * * [simplify]: iters left: 2 (78 enodes) 41.922 * * [simplify]: Extracting #0: cost 1 inf + 0 41.922 * * [simplify]: Extracting #1: cost 13 inf + 0 41.922 * * [simplify]: Extracting #2: cost 23 inf + 3 41.923 * * [simplify]: Extracting #3: cost 26 inf + 129 41.923 * * [simplify]: Extracting #4: cost 16 inf + 851 41.923 * * [simplify]: Extracting #5: cost 3 inf + 3053 41.924 * * [simplify]: Extracting #6: cost 0 inf + 3642 41.925 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 41.925 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 41.925 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 41.925 * * [simplify]: iters left: 6 (11 enodes) 41.928 * * [simplify]: iters left: 5 (37 enodes) 41.933 * * [simplify]: iters left: 4 (56 enodes) 41.941 * * [simplify]: iters left: 3 (73 enodes) 41.959 * * [simplify]: iters left: 2 (78 enodes) 41.978 * * [simplify]: Extracting #0: cost 1 inf + 0 41.978 * * [simplify]: Extracting #1: cost 13 inf + 0 41.978 * * [simplify]: Extracting #2: cost 23 inf + 3 41.978 * * [simplify]: Extracting #3: cost 26 inf + 129 41.979 * * [simplify]: Extracting #4: cost 16 inf + 851 41.980 * * [simplify]: Extracting #5: cost 3 inf + 3053 41.981 * * [simplify]: Extracting #6: cost 0 inf + 3642 41.983 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 41.983 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 41.983 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 41.983 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 41.983 * * [simplify]: iters left: 6 (6 enodes) 41.987 * * [simplify]: iters left: 5 (24 enodes) 41.997 * * [simplify]: iters left: 4 (46 enodes) 42.008 * * [simplify]: iters left: 3 (94 enodes) 42.027 * * [simplify]: iters left: 2 (156 enodes) 42.064 * * [simplify]: iters left: 1 (177 enodes) 42.098 * * [simplify]: Extracting #0: cost 1 inf + 0 42.098 * * [simplify]: Extracting #1: cost 29 inf + 0 42.098 * * [simplify]: Extracting #2: cost 44 inf + 452 42.099 * * [simplify]: Extracting #3: cost 11 inf + 5196 42.100 * * [simplify]: Extracting #4: cost 0 inf + 6946 42.102 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 42.102 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.102 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 42.103 * * [simplify]: iters left: 6 (10 enodes) 42.105 * * [simplify]: iters left: 5 (37 enodes) 42.111 * * [simplify]: iters left: 4 (67 enodes) 42.124 * * [simplify]: iters left: 3 (153 enodes) 42.166 * * [simplify]: iters left: 2 (259 enodes) 42.230 * * [simplify]: iters left: 1 (355 enodes) 42.332 * * [simplify]: Extracting #0: cost 1 inf + 0 42.332 * * [simplify]: Extracting #1: cost 36 inf + 0 42.332 * * [simplify]: Extracting #2: cost 69 inf + 1 42.332 * * [simplify]: Extracting #3: cost 67 inf + 287 42.333 * * [simplify]: Extracting #4: cost 53 inf + 1870 42.334 * * [simplify]: Extracting #5: cost 34 inf + 5949 42.337 * * [simplify]: Extracting #6: cost 5 inf + 13388 42.341 * * [simplify]: Extracting #7: cost 0 inf + 14706 42.344 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 42.344 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 42.345 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 42.345 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 42.345 * * [simplify]: iters left: 5 (5 enodes) 42.347 * * [simplify]: iters left: 4 (19 enodes) 42.350 * * [simplify]: iters left: 3 (27 enodes) 42.354 * * [simplify]: iters left: 2 (34 enodes) 42.360 * * [simplify]: iters left: 1 (43 enodes) 42.371 * * [simplify]: Extracting #0: cost 1 inf + 0 42.371 * * [simplify]: Extracting #1: cost 11 inf + 0 42.372 * * [simplify]: Extracting #2: cost 14 inf + 3 42.372 * * [simplify]: Extracting #3: cost 5 inf + 539 42.372 * * [simplify]: Extracting #4: cost 1 inf + 827 42.373 * * [simplify]: Extracting #5: cost 0 inf + 909 42.373 * [simplify]: Simplified to (/ U 4) 42.373 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.374 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 42.374 * * [simplify]: iters left: 6 (10 enodes) 42.377 * * [simplify]: iters left: 5 (37 enodes) 42.383 * * [simplify]: iters left: 4 (67 enodes) 42.395 * * [simplify]: iters left: 3 (146 enodes) 42.434 * * [simplify]: iters left: 2 (243 enodes) 42.496 * * [simplify]: iters left: 1 (344 enodes) 42.588 * * [simplify]: Extracting #0: cost 1 inf + 0 42.588 * * [simplify]: Extracting #1: cost 35 inf + 0 42.589 * * [simplify]: Extracting #2: cost 62 inf + 166 42.590 * * [simplify]: Extracting #3: cost 53 inf + 1108 42.593 * * [simplify]: Extracting #4: cost 32 inf + 4488 42.599 * * [simplify]: Extracting #5: cost 2 inf + 10914 42.606 * * [simplify]: Extracting #6: cost 0 inf + 11240 42.613 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 42.613 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.613 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 42.613 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 42.613 * * [simplify]: iters left: 4 (4 enodes) 42.620 * * [simplify]: iters left: 3 (20 enodes) 42.625 * * [simplify]: iters left: 2 (22 enodes) 42.631 * * [simplify]: Extracting #0: cost 1 inf + 0 42.631 * * [simplify]: Extracting #1: cost 0 inf + 1 42.631 * [simplify]: Simplified to 1/4 42.631 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.631 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 42.631 * * [simplify]: iters left: 6 (9 enodes) 42.636 * * [simplify]: iters left: 5 (34 enodes) 42.647 * * [simplify]: iters left: 4 (64 enodes) 42.673 * * [simplify]: iters left: 3 (148 enodes) 42.731 * * [simplify]: iters left: 2 (254 enodes) 42.797 * * [simplify]: iters left: 1 (351 enodes) 42.896 * * [simplify]: Extracting #0: cost 1 inf + 0 42.896 * * [simplify]: Extracting #1: cost 36 inf + 0 42.897 * * [simplify]: Extracting #2: cost 65 inf + 43 42.897 * * [simplify]: Extracting #3: cost 56 inf + 905 42.898 * * [simplify]: Extracting #4: cost 51 inf + 992 42.899 * * [simplify]: Extracting #5: cost 34 inf + 3846 42.902 * * [simplify]: Extracting #6: cost 1 inf + 10281 42.908 * * [simplify]: Extracting #7: cost 0 inf + 10464 42.915 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 42.915 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 42.915 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 42.916 * [simplify]: Simplifying (* 1 1) 42.916 * * [simplify]: iters left: 2 (2 enodes) 42.917 * * [simplify]: iters left: 1 (6 enodes) 42.919 * * [simplify]: Extracting #0: cost 1 inf + 0 42.919 * * [simplify]: Extracting #1: cost 0 inf + 1 42.920 * [simplify]: Simplified to 1 42.920 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 42.920 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 42.920 * * [simplify]: iters left: 6 (10 enodes) 42.925 * * [simplify]: iters left: 5 (40 enodes) 42.939 * * [simplify]: iters left: 4 (91 enodes) 42.986 * * [simplify]: iters left: 3 (345 enodes) 43.211 * * [simplify]: Extracting #0: cost 1 inf + 0 43.212 * * [simplify]: Extracting #1: cost 119 inf + 0 43.214 * * [simplify]: Extracting #2: cost 236 inf + 45 43.216 * * [simplify]: Extracting #3: cost 207 inf + 2474 43.227 * * [simplify]: Extracting #4: cost 104 inf + 22392 43.254 * * [simplify]: Extracting #5: cost 6 inf + 45410 43.283 * * [simplify]: Extracting #6: cost 0 inf + 46788 43.314 * * [simplify]: Extracting #7: cost 0 inf + 46787 43.343 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 43.343 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.343 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 43.344 * [simplify]: Simplifying (* U U) 43.344 * * [simplify]: iters left: 2 (2 enodes) 43.345 * * [simplify]: iters left: 1 (6 enodes) 43.347 * * [simplify]: Extracting #0: cost 1 inf + 0 43.347 * * [simplify]: Extracting #1: cost 3 inf + 0 43.347 * * [simplify]: Extracting #2: cost 2 inf + 1 43.347 * * [simplify]: Extracting #3: cost 0 inf + 83 43.347 * [simplify]: Simplified to (* U U) 43.347 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 43.347 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 43.347 * * [simplify]: iters left: 6 (10 enodes) 43.354 * * [simplify]: iters left: 5 (43 enodes) 43.369 * * [simplify]: iters left: 4 (82 enodes) 43.388 * * [simplify]: iters left: 3 (271 enodes) 43.603 * * [simplify]: Extracting #0: cost 1 inf + 0 43.603 * * [simplify]: Extracting #1: cost 72 inf + 0 43.604 * * [simplify]: Extracting #2: cost 165 inf + 90 43.607 * * [simplify]: Extracting #3: cost 151 inf + 1785 43.612 * * [simplify]: Extracting #4: cost 98 inf + 11781 43.621 * * [simplify]: Extracting #5: cost 3 inf + 32308 43.630 * * [simplify]: Extracting #6: cost 0 inf + 32858 43.642 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 43.643 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.643 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 43.643 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.643 * * [simplify]: iters left: 6 (11 enodes) 43.649 * * [simplify]: iters left: 5 (37 enodes) 43.660 * * [simplify]: iters left: 4 (56 enodes) 43.669 * * [simplify]: iters left: 3 (73 enodes) 43.678 * * [simplify]: iters left: 2 (78 enodes) 43.688 * * [simplify]: Extracting #0: cost 1 inf + 0 43.688 * * [simplify]: Extracting #1: cost 13 inf + 0 43.688 * * [simplify]: Extracting #2: cost 23 inf + 3 43.688 * * [simplify]: Extracting #3: cost 26 inf + 129 43.688 * * [simplify]: Extracting #4: cost 16 inf + 851 43.689 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.689 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.690 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.690 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.690 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.690 * * [simplify]: iters left: 6 (11 enodes) 43.693 * * [simplify]: iters left: 5 (37 enodes) 43.700 * * [simplify]: iters left: 4 (56 enodes) 43.715 * * [simplify]: iters left: 3 (73 enodes) 43.729 * * [simplify]: iters left: 2 (78 enodes) 43.741 * * [simplify]: Extracting #0: cost 1 inf + 0 43.741 * * [simplify]: Extracting #1: cost 13 inf + 0 43.741 * * [simplify]: Extracting #2: cost 23 inf + 3 43.741 * * [simplify]: Extracting #3: cost 26 inf + 129 43.741 * * [simplify]: Extracting #4: cost 16 inf + 851 43.742 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.743 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.743 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.743 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 43.744 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 43.744 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 43.744 * * [simplify]: iters left: 6 (9 enodes) 43.746 * * [simplify]: iters left: 5 (33 enodes) 43.751 * * [simplify]: iters left: 4 (51 enodes) 43.760 * * [simplify]: iters left: 3 (68 enodes) 43.777 * * [simplify]: iters left: 2 (73 enodes) 43.795 * * [simplify]: Extracting #0: cost 1 inf + 0 43.795 * * [simplify]: Extracting #1: cost 12 inf + 0 43.795 * * [simplify]: Extracting #2: cost 21 inf + 3 43.795 * * [simplify]: Extracting #3: cost 21 inf + 337 43.796 * * [simplify]: Extracting #4: cost 12 inf + 1158 43.797 * * [simplify]: Extracting #5: cost 0 inf + 3114 43.798 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 43.798 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J))) 43.799 * [simplify]: Simplifying (* 2 1) 43.799 * * [simplify]: iters left: 2 (3 enodes) 43.801 * * [simplify]: iters left: 1 (9 enodes) 43.803 * * [simplify]: Extracting #0: cost 1 inf + 0 43.803 * * [simplify]: Extracting #1: cost 0 inf + 1 43.803 * [simplify]: Simplified to 2 43.803 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 43.803 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 43.803 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 43.803 * * [simplify]: iters left: 6 (10 enodes) 43.806 * * [simplify]: iters left: 5 (36 enodes) 43.811 * * [simplify]: iters left: 4 (54 enodes) 43.820 * * [simplify]: iters left: 3 (71 enodes) 43.836 * * [simplify]: iters left: 2 (76 enodes) 43.855 * * [simplify]: Extracting #0: cost 1 inf + 0 43.855 * * [simplify]: Extracting #1: cost 3 inf + 0 43.855 * * [simplify]: Extracting #2: cost 14 inf + 0 43.855 * * [simplify]: Extracting #3: cost 23 inf + 3 43.856 * * [simplify]: Extracting #4: cost 24 inf + 295 43.856 * * [simplify]: Extracting #5: cost 9 inf + 2499 43.857 * * [simplify]: Extracting #6: cost 0 inf + 3722 43.859 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 43.859 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.859 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 43.860 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 43.860 * * [simplify]: iters left: 6 (10 enodes) 43.864 * * [simplify]: iters left: 5 (36 enodes) 43.876 * * [simplify]: iters left: 4 (54 enodes) 43.891 * * [simplify]: iters left: 3 (71 enodes) 43.909 * * [simplify]: iters left: 2 (76 enodes) 43.927 * * [simplify]: Extracting #0: cost 1 inf + 0 43.927 * * [simplify]: Extracting #1: cost 3 inf + 0 43.927 * * [simplify]: Extracting #2: cost 14 inf + 0 43.927 * * [simplify]: Extracting #3: cost 23 inf + 3 43.927 * * [simplify]: Extracting #4: cost 24 inf + 295 43.928 * * [simplify]: Extracting #5: cost 9 inf + 2419 43.930 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.931 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 43.931 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.931 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 43.932 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 43.932 * * [simplify]: iters left: 6 (9 enodes) 43.936 * * [simplify]: iters left: 5 (30 enodes) 43.945 * * [simplify]: iters left: 4 (34 enodes) 43.954 * * [simplify]: iters left: 3 (36 enodes) 43.963 * * [simplify]: Extracting #0: cost 1 inf + 0 43.964 * * [simplify]: Extracting #1: cost 8 inf + 0 43.964 * * [simplify]: Extracting #2: cost 14 inf + 1 43.964 * * [simplify]: Extracting #3: cost 16 inf + 2 43.964 * * [simplify]: Extracting #4: cost 11 inf + 288 43.964 * * [simplify]: Extracting #5: cost 5 inf + 962 43.965 * * [simplify]: Extracting #6: cost 0 inf + 1958 43.965 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 43.965 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 43.965 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 43.966 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 43.966 * * [simplify]: iters left: 6 (9 enodes) 43.970 * * [simplify]: iters left: 5 (30 enodes) 43.975 * * [simplify]: iters left: 4 (34 enodes) 43.980 * * [simplify]: iters left: 3 (36 enodes) 43.985 * * [simplify]: Extracting #0: cost 1 inf + 0 43.986 * * [simplify]: Extracting #1: cost 8 inf + 0 43.986 * * [simplify]: Extracting #2: cost 14 inf + 1 43.986 * * [simplify]: Extracting #3: cost 16 inf + 2 43.986 * * [simplify]: Extracting #4: cost 11 inf + 168 43.986 * * [simplify]: Extracting #5: cost 5 inf + 762 43.986 * * [simplify]: Extracting #6: cost 0 inf + 1638 43.986 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 43.986 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 43.987 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 43.987 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 43.987 * * [simplify]: iters left: 6 (8 enodes) 43.990 * * [simplify]: iters left: 5 (27 enodes) 43.994 * * [simplify]: iters left: 4 (31 enodes) 43.999 * * [simplify]: iters left: 3 (33 enodes) 44.008 * * [simplify]: Extracting #0: cost 1 inf + 0 44.008 * * [simplify]: Extracting #1: cost 8 inf + 0 44.008 * * [simplify]: Extracting #2: cost 11 inf + 2 44.008 * * [simplify]: Extracting #3: cost 12 inf + 86 44.008 * * [simplify]: Extracting #4: cost 9 inf + 130 44.009 * * [simplify]: Extracting #5: cost 1 inf + 1132 44.009 * * [simplify]: Extracting #6: cost 0 inf + 1316 44.010 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 44.010 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 44.010 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 44.010 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 44.010 * * [simplify]: iters left: 6 (9 enodes) 44.015 * * [simplify]: iters left: 5 (33 enodes) 44.025 * * [simplify]: iters left: 4 (51 enodes) 44.040 * * [simplify]: iters left: 3 (68 enodes) 44.057 * * [simplify]: iters left: 2 (73 enodes) 44.074 * * [simplify]: Extracting #0: cost 1 inf + 0 44.074 * * [simplify]: Extracting #1: cost 12 inf + 0 44.074 * * [simplify]: Extracting #2: cost 21 inf + 3 44.074 * * [simplify]: Extracting #3: cost 21 inf + 337 44.075 * * [simplify]: Extracting #4: cost 12 inf + 1158 44.076 * * [simplify]: Extracting #5: cost 0 inf + 3114 44.078 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 44.078 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 44.078 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 44.078 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 44.078 * * [simplify]: iters left: 6 (9 enodes) 44.084 * * [simplify]: iters left: 5 (36 enodes) 44.096 * * [simplify]: iters left: 4 (56 enodes) 44.108 * * [simplify]: iters left: 3 (72 enodes) 44.118 * * [simplify]: iters left: 2 (76 enodes) 44.128 * * [simplify]: Extracting #0: cost 1 inf + 0 44.128 * * [simplify]: Extracting #1: cost 12 inf + 0 44.128 * * [simplify]: Extracting #2: cost 18 inf + 46 44.128 * * [simplify]: Extracting #3: cost 21 inf + 172 44.128 * * [simplify]: Extracting #4: cost 12 inf + 1055 44.129 * * [simplify]: Extracting #5: cost 2 inf + 2464 44.130 * * [simplify]: Extracting #6: cost 0 inf + 2789 44.131 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 44.131 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 44.131 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 44.131 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.131 * * [simplify]: iters left: 6 (11 enodes) 44.136 * * [simplify]: iters left: 5 (39 enodes) 44.148 * * [simplify]: iters left: 4 (57 enodes) 44.164 * * [simplify]: iters left: 3 (74 enodes) 44.182 * * [simplify]: iters left: 2 (79 enodes) 44.201 * * [simplify]: Extracting #0: cost 1 inf + 0 44.201 * * [simplify]: Extracting #1: cost 3 inf + 0 44.201 * * [simplify]: Extracting #2: cost 5 inf + 0 44.201 * * [simplify]: Extracting #3: cost 16 inf + 0 44.201 * * [simplify]: Extracting #4: cost 25 inf + 3 44.201 * * [simplify]: Extracting #5: cost 28 inf + 129 44.202 * * [simplify]: Extracting #6: cost 13 inf + 1889 44.203 * * [simplify]: Extracting #7: cost 3 inf + 3901 44.205 * * [simplify]: Extracting #8: cost 0 inf + 4410 44.206 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 44.206 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.207 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 44.207 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 44.207 * * [simplify]: iters left: 6 (10 enodes) 44.211 * * [simplify]: iters left: 5 (36 enodes) 44.217 * * [simplify]: iters left: 4 (54 enodes) 44.225 * * [simplify]: iters left: 3 (71 enodes) 44.236 * * [simplify]: iters left: 2 (76 enodes) 44.245 * * [simplify]: Extracting #0: cost 1 inf + 0 44.245 * * [simplify]: Extracting #1: cost 3 inf + 0 44.245 * * [simplify]: Extracting #2: cost 14 inf + 0 44.245 * * [simplify]: Extracting #3: cost 23 inf + 3 44.245 * * [simplify]: Extracting #4: cost 24 inf + 295 44.245 * * [simplify]: Extracting #5: cost 9 inf + 2419 44.246 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.247 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 44.247 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.247 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 44.247 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 44.247 * * [simplify]: iters left: 5 (5 enodes) 44.249 * * [simplify]: iters left: 4 (17 enodes) 44.251 * * [simplify]: iters left: 3 (21 enodes) 44.255 * * [simplify]: iters left: 2 (24 enodes) 44.262 * * [simplify]: Extracting #0: cost 1 inf + 0 44.262 * * [simplify]: Extracting #1: cost 7 inf + 0 44.262 * * [simplify]: Extracting #2: cost 11 inf + 1 44.263 * * [simplify]: Extracting #3: cost 10 inf + 2 44.263 * * [simplify]: Extracting #4: cost 0 inf + 1218 44.263 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 44.263 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.263 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 44.264 * [simplify]: Simplifying (/ (sqrt U) 2) 44.264 * * [simplify]: iters left: 3 (4 enodes) 44.266 * * [simplify]: iters left: 2 (12 enodes) 44.269 * * [simplify]: Extracting #0: cost 1 inf + 0 44.270 * * [simplify]: Extracting #1: cost 4 inf + 0 44.270 * * [simplify]: Extracting #2: cost 5 inf + 1 44.270 * * [simplify]: Extracting #3: cost 4 inf + 2 44.270 * * [simplify]: Extracting #4: cost 0 inf + 248 44.270 * [simplify]: Simplified to (/ (sqrt U) 2) 44.270 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.270 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 44.270 * [simplify]: Simplifying (/ 1 2) 44.270 * * [simplify]: iters left: 2 (3 enodes) 44.273 * * [simplify]: iters left: 1 (12 enodes) 44.278 * * [simplify]: Extracting #0: cost 1 inf + 0 44.278 * * [simplify]: Extracting #1: cost 0 inf + 1 44.278 * [simplify]: Simplified to 1/2 44.278 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.278 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 44.278 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 44.278 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 44.278 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 44.278 * * [simplify]: iters left: 6 (7 enodes) 44.282 * * [simplify]: iters left: 5 (25 enodes) 44.289 * * [simplify]: iters left: 4 (33 enodes) 44.299 * * [simplify]: iters left: 3 (39 enodes) 44.308 * * [simplify]: Extracting #0: cost 1 inf + 0 44.308 * * [simplify]: Extracting #1: cost 8 inf + 0 44.308 * * [simplify]: Extracting #2: cost 11 inf + 2 44.309 * * [simplify]: Extracting #3: cost 12 inf + 44 44.309 * * [simplify]: Extracting #4: cost 10 inf + 87 44.309 * * [simplify]: Extracting #5: cost 4 inf + 660 44.309 * * [simplify]: Extracting #6: cost 1 inf + 1128 44.310 * * [simplify]: Extracting #7: cost 0 inf + 1311 44.310 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 44.310 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (* (cos (/ K 2)) J))) 44.311 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 44.311 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 44.311 * * [simplify]: iters left: 6 (10 enodes) 44.316 * * [simplify]: iters left: 5 (39 enodes) 44.328 * * [simplify]: iters left: 4 (75 enodes) 44.355 * * [simplify]: iters left: 3 (155 enodes) 44.406 * * [simplify]: iters left: 2 (223 enodes) 44.472 * * [simplify]: iters left: 1 (275 enodes) 44.534 * * [simplify]: Extracting #0: cost 1 inf + 0 44.534 * * [simplify]: Extracting #1: cost 34 inf + 0 44.535 * * [simplify]: Extracting #2: cost 56 inf + 128 44.536 * * [simplify]: Extracting #3: cost 42 inf + 1204 44.538 * * [simplify]: Extracting #4: cost 19 inf + 4613 44.542 * * [simplify]: Extracting #5: cost 0 inf + 8215 44.546 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 44.547 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 44.547 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))> 44.547 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 44.547 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 44.547 * [simplify]: Simplifying (* (cos (/ K 2)) J) 44.547 * * [simplify]: iters left: 5 (6 enodes) 44.550 * * [simplify]: iters left: 4 (19 enodes) 44.556 * * [simplify]: Extracting #0: cost 1 inf + 0 44.556 * * [simplify]: Extracting #1: cost 4 inf + 0 44.556 * * [simplify]: Extracting #2: cost 5 inf + 1 44.556 * * [simplify]: Extracting #3: cost 8 inf + 1 44.556 * * [simplify]: Extracting #4: cost 6 inf + 3 44.556 * * [simplify]: Extracting #5: cost 0 inf + 577 44.557 * [simplify]: Simplified to (* (cos (/ K 2)) J) 44.557 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (pow (* (cos (/ K 2)) J) 1))) 44.557 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 44.557 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 44.557 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 44.557 * * [simplify]: iters left: 6 (8 enodes) 44.561 * * [simplify]: iters left: 5 (25 enodes) 44.567 * * [simplify]: Extracting #0: cost 1 inf + 0 44.567 * * [simplify]: Extracting #1: cost 4 inf + 0 44.567 * * [simplify]: Extracting #2: cost 8 inf + 0 44.568 * * [simplify]: Extracting #3: cost 8 inf + 72 44.568 * * [simplify]: Extracting #4: cost 10 inf + 143 44.568 * * [simplify]: Extracting #5: cost 8 inf + 145 44.568 * * [simplify]: Extracting #6: cost 5 inf + 331 44.568 * * [simplify]: Extracting #7: cost 1 inf + 1060 44.568 * * [simplify]: Extracting #8: cost 0 inf + 1343 44.569 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 44.569 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (exp (+ (log J) (log (cos (/ K 2))))))) 44.569 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 44.569 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 44.569 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 44.569 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 44.570 * * [simplify]: iters left: 6 (10 enodes) 44.576 * * [simplify]: iters left: 5 (37 enodes) 44.588 * * [simplify]: iters left: 4 (66 enodes) 44.613 * * [simplify]: iters left: 3 (125 enodes) 44.658 * * [simplify]: iters left: 2 (196 enodes) 44.733 * * [simplify]: iters left: 1 (353 enodes) 44.865 * * [simplify]: Extracting #0: cost 1 inf + 0 44.865 * * [simplify]: Extracting #1: cost 51 inf + 0 44.865 * * [simplify]: Extracting #2: cost 146 inf + 124 44.866 * * [simplify]: Extracting #3: cost 153 inf + 460 44.867 * * [simplify]: Extracting #4: cost 133 inf + 4920 44.872 * * [simplify]: Extracting #5: cost 45 inf + 43385 44.886 * * [simplify]: Extracting #6: cost 4 inf + 66357 44.898 * * [simplify]: Extracting #7: cost 0 inf + 69278 44.906 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 44.906 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 44.906 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 44.906 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 44.906 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 44.906 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 44.906 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 44.907 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 44.907 * * [simplify]: iters left: 6 (8 enodes) 44.909 * * [simplify]: iters left: 5 (25 enodes) 44.913 * * [simplify]: Extracting #0: cost 1 inf + 0 44.913 * * [simplify]: Extracting #1: cost 4 inf + 0 44.913 * * [simplify]: Extracting #2: cost 8 inf + 0 44.913 * * [simplify]: Extracting #3: cost 8 inf + 42 44.913 * * [simplify]: Extracting #4: cost 10 inf + 83 44.913 * * [simplify]: Extracting #5: cost 8 inf + 85 44.913 * * [simplify]: Extracting #6: cost 5 inf + 271 44.913 * * [simplify]: Extracting #7: cost 1 inf + 880 44.913 * * [simplify]: Extracting #8: cost 0 inf + 1103 44.913 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 44.913 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J))))) 44.914 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 44.914 * * [simplify]: iters left: 6 (8 enodes) 44.916 * * [simplify]: iters left: 5 (25 enodes) 44.919 * * [simplify]: Extracting #0: cost 1 inf + 0 44.920 * * [simplify]: Extracting #1: cost 4 inf + 0 44.920 * * [simplify]: Extracting #2: cost 8 inf + 0 44.920 * * [simplify]: Extracting #3: cost 8 inf + 42 44.920 * * [simplify]: Extracting #4: cost 10 inf + 83 44.920 * * [simplify]: Extracting #5: cost 8 inf + 85 44.920 * * [simplify]: Extracting #6: cost 5 inf + 271 44.920 * * [simplify]: Extracting #7: cost 1 inf + 880 44.920 * * [simplify]: Extracting #8: cost 0 inf + 1103 44.920 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 44.920 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2))))))) 44.920 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 44.921 * [simplify]: Simplifying (cbrt J) 44.921 * * [simplify]: iters left: 1 (2 enodes) 44.921 * * [simplify]: Extracting #0: cost 1 inf + 0 44.921 * * [simplify]: Extracting #1: cost 3 inf + 0 44.921 * * [simplify]: Extracting #2: cost 2 inf + 1 44.921 * * [simplify]: Extracting #3: cost 0 inf + 163 44.921 * [simplify]: Simplified to (cbrt J) 44.921 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 44.921 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 44.922 * [simplify]: Simplifying (sqrt J) 44.922 * * [simplify]: iters left: 1 (2 enodes) 44.922 * * [simplify]: Extracting #0: cost 1 inf + 0 44.922 * * [simplify]: Extracting #1: cost 3 inf + 0 44.922 * * [simplify]: Extracting #2: cost 2 inf + 1 44.922 * * [simplify]: Extracting #3: cost 0 inf + 83 44.922 * [simplify]: Simplified to (sqrt J) 44.922 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (sqrt J)) (sqrt J)))) 44.923 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 44.923 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 44.923 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 44.923 * * [simplify]: iters left: 6 (6 enodes) 44.926 * * [simplify]: iters left: 5 (18 enodes) 44.932 * * [simplify]: Extracting #0: cost 1 inf + 0 44.932 * * [simplify]: Extracting #1: cost 3 inf + 0 44.932 * * [simplify]: Extracting #2: cost 5 inf + 0 44.932 * * [simplify]: Extracting #3: cost 7 inf + 0 44.932 * * [simplify]: Extracting #4: cost 10 inf + 0 44.932 * * [simplify]: Extracting #5: cost 8 inf + 2 44.932 * * [simplify]: Extracting #6: cost 0 inf + 1098 44.932 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 44.932 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 44.933 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 44.933 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 44.933 * * [simplify]: iters left: 4 (5 enodes) 44.936 * * [simplify]: iters left: 3 (15 enodes) 44.940 * * [simplify]: Extracting #0: cost 1 inf + 0 44.940 * * [simplify]: Extracting #1: cost 3 inf + 0 44.940 * * [simplify]: Extracting #2: cost 5 inf + 0 44.940 * * [simplify]: Extracting #3: cost 8 inf + 0 44.940 * * [simplify]: Extracting #4: cost 6 inf + 2 44.941 * * [simplify]: Extracting #5: cost 0 inf + 574 44.941 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 44.941 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J)))) 44.941 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 44.941 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 44.941 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 44.941 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 44.942 * [simplify]: Simplifying 1 44.942 * * [simplify]: iters left: 0 (1 enodes) 44.943 * * [simplify]: Extracting #0: cost 1 inf + 0 44.943 * * [simplify]: Extracting #1: cost 0 inf + 1 44.943 * [simplify]: Simplified to 1 44.943 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 44.943 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 44.943 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 44.943 * * [simplify]: iters left: 6 (9 enodes) 44.948 * * [simplify]: iters left: 5 (34 enodes) 44.958 * * [simplify]: iters left: 4 (56 enodes) 44.975 * * [simplify]: iters left: 3 (90 enodes) 45.003 * * [simplify]: iters left: 2 (114 enodes) 45.032 * * [simplify]: iters left: 1 (131 enodes) 45.067 * * [simplify]: Extracting #0: cost 1 inf + 0 45.067 * * [simplify]: Extracting #1: cost 22 inf + 0 45.067 * * [simplify]: Extracting #2: cost 37 inf + 3 45.068 * * [simplify]: Extracting #3: cost 31 inf + 380 45.068 * * [simplify]: Extracting #4: cost 17 inf + 1834 45.071 * * [simplify]: Extracting #5: cost 3 inf + 4117 45.073 * * [simplify]: Extracting #6: cost 0 inf + 4586 45.075 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 45.075 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 45.075 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 45.075 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 45.075 * * [simplify]: iters left: 6 (9 enodes) 45.080 * * [simplify]: iters left: 5 (34 enodes) 45.090 * * [simplify]: iters left: 4 (56 enodes) 45.107 * * [simplify]: iters left: 3 (90 enodes) 45.123 * * [simplify]: iters left: 2 (114 enodes) 45.140 * * [simplify]: iters left: 1 (131 enodes) 45.173 * * [simplify]: Extracting #0: cost 1 inf + 0 45.173 * * [simplify]: Extracting #1: cost 22 inf + 0 45.173 * * [simplify]: Extracting #2: cost 37 inf + 3 45.174 * * [simplify]: Extracting #3: cost 31 inf + 380 45.174 * * [simplify]: Extracting #4: cost 17 inf + 1834 45.176 * * [simplify]: Extracting #5: cost 3 inf + 4117 45.178 * * [simplify]: Extracting #6: cost 0 inf + 4586 45.180 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 45.180 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 45.181 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 45.181 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 45.181 * * [simplify]: iters left: 6 (10 enodes) 45.187 * * [simplify]: iters left: 5 (43 enodes) 45.202 * * [simplify]: iters left: 4 (79 enodes) 45.221 * * [simplify]: iters left: 3 (118 enodes) 45.257 * * [simplify]: iters left: 2 (171 enodes) 45.298 * * [simplify]: iters left: 1 (242 enodes) 45.355 * * [simplify]: Extracting #0: cost 1 inf + 0 45.355 * * [simplify]: Extracting #1: cost 6 inf + 0 45.355 * * [simplify]: Extracting #2: cost 41 inf + 0 45.355 * * [simplify]: Extracting #3: cost 56 inf + 213 45.356 * * [simplify]: Extracting #4: cost 20 inf + 2732 45.357 * * [simplify]: Extracting #5: cost 1 inf + 4576 45.359 * * [simplify]: Extracting #6: cost 0 inf + 4698 45.360 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 45.360 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 45.360 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 45.360 * [simplify]: Simplifying (* -1 U) 45.360 * * [simplify]: iters left: 2 (3 enodes) 45.362 * * [simplify]: iters left: 1 (11 enodes) 45.365 * * [simplify]: Extracting #0: cost 1 inf + 0 45.365 * * [simplify]: Extracting #1: cost 4 inf + 0 45.365 * * [simplify]: Extracting #2: cost 0 inf + 84 45.365 * [simplify]: Simplified to (- U) 45.365 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 45.365 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 45.366 * [simplify]: Simplifying (* -1 U) 45.366 * * [simplify]: iters left: 2 (3 enodes) 45.368 * * [simplify]: iters left: 1 (11 enodes) 45.371 * * [simplify]: Extracting #0: cost 1 inf + 0 45.371 * * [simplify]: Extracting #1: cost 4 inf + 0 45.371 * * [simplify]: Extracting #2: cost 0 inf + 84 45.371 * [simplify]: Simplified to (- U) 45.371 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 45.371 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 45.371 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 45.372 * * [simplify]: iters left: 6 (22 enodes) 45.385 * * [simplify]: iters left: 5 (98 enodes) 45.419 * * [simplify]: iters left: 4 (205 enodes) 45.511 * * [simplify]: Extracting #0: cost 1 inf + 0 45.511 * * [simplify]: Extracting #1: cost 8 inf + 0 45.511 * * [simplify]: Extracting #2: cost 99 inf + 0 45.512 * * [simplify]: Extracting #3: cost 194 inf + 251 45.514 * * [simplify]: Extracting #4: cost 104 inf + 10603 45.520 * * [simplify]: Extracting #5: cost 8 inf + 24728 45.526 * * [simplify]: Extracting #6: cost 0 inf + 25715 45.532 * * [simplify]: Extracting #7: cost 0 inf + 25355 45.540 * * [simplify]: Extracting #8: cost 0 inf + 25315 45.552 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 45.552 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (* (cos (/ K 2)) J))) 45.552 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 45.553 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 45.553 * * [simplify]: iters left: 6 (14 enodes) 45.564 * * [simplify]: iters left: 5 (60 enodes) 45.586 * * [simplify]: iters left: 4 (121 enodes) 45.620 * * [simplify]: iters left: 3 (401 enodes) 45.808 * * [simplify]: Extracting #0: cost 1 inf + 0 45.808 * * [simplify]: Extracting #1: cost 135 inf + 0 45.811 * * [simplify]: Extracting #2: cost 287 inf + 168 45.814 * * [simplify]: Extracting #3: cost 261 inf + 2234 45.818 * * [simplify]: Extracting #4: cost 167 inf + 19219 45.831 * * [simplify]: Extracting #5: cost 11 inf + 55565 45.846 * * [simplify]: Extracting #6: cost 0 inf + 57309 45.870 * * [simplify]: Extracting #7: cost 0 inf + 57229 45.897 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 45.897 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 45.897 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 45.897 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 45.897 * * [simplify]: iters left: 6 (14 enodes) 45.903 * * [simplify]: iters left: 5 (60 enodes) 45.914 * * [simplify]: iters left: 4 (121 enodes) 45.952 * * [simplify]: iters left: 3 (401 enodes) 46.177 * * [simplify]: Extracting #0: cost 1 inf + 0 46.177 * * [simplify]: Extracting #1: cost 135 inf + 0 46.180 * * [simplify]: Extracting #2: cost 287 inf + 168 46.182 * * [simplify]: Extracting #3: cost 261 inf + 2234 46.186 * * [simplify]: Extracting #4: cost 167 inf + 19219 46.200 * * [simplify]: Extracting #5: cost 11 inf + 55565 46.215 * * [simplify]: Extracting #6: cost 0 inf + 57309 46.240 * * [simplify]: Extracting #7: cost 0 inf + 57229 46.269 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 46.269 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 46.270 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 46.270 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 46.270 * * [simplify]: iters left: 6 (8 enodes) 46.275 * * [simplify]: iters left: 5 (35 enodes) 46.287 * * [simplify]: iters left: 4 (67 enodes) 46.309 * * [simplify]: iters left: 3 (133 enodes) 46.355 * * [simplify]: iters left: 2 (207 enodes) 46.405 * * [simplify]: iters left: 1 (230 enodes) 46.449 * * [simplify]: Extracting #0: cost 1 inf + 0 46.449 * * [simplify]: Extracting #1: cost 6 inf + 0 46.449 * * [simplify]: Extracting #2: cost 28 inf + 1 46.450 * * [simplify]: Extracting #3: cost 33 inf + 378 46.451 * * [simplify]: Extracting #4: cost 2 inf + 2884 46.453 * * [simplify]: Extracting #5: cost 0 inf + 3130 46.455 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 46.456 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (- J (* (* K K) (* J 1/8))))) 46.456 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 46.456 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 46.456 * * [simplify]: iters left: 5 (6 enodes) 46.459 * * [simplify]: iters left: 4 (20 enodes) 46.465 * * [simplify]: Extracting #0: cost 1 inf + 0 46.465 * * [simplify]: Extracting #1: cost 4 inf + 0 46.465 * * [simplify]: Extracting #2: cost 5 inf + 1 46.465 * * [simplify]: Extracting #3: cost 8 inf + 1 46.465 * * [simplify]: Extracting #4: cost 6 inf + 3 46.466 * * [simplify]: Extracting #5: cost 0 inf + 577 46.466 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 46.466 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 46.466 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 46.466 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 46.467 * * [simplify]: iters left: 5 (6 enodes) 46.470 * * [simplify]: iters left: 4 (20 enodes) 46.476 * * [simplify]: Extracting #0: cost 1 inf + 0 46.476 * * [simplify]: Extracting #1: cost 4 inf + 0 46.476 * * [simplify]: Extracting #2: cost 5 inf + 1 46.476 * * [simplify]: Extracting #3: cost 8 inf + 1 46.476 * * [simplify]: Extracting #4: cost 6 inf + 3 46.476 * * [simplify]: Extracting #5: cost 0 inf + 577 46.476 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 46.476 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 46.477 * * * [progress]: adding candidates to table 48.297 * * [progress]: iteration 2 / 4 48.297 * * * [progress]: picking best candidate 48.332 * * * * [pick]: Picked # 48.332 * * * [progress]: localizing error 48.390 * * * [progress]: generating rewritten candidates 48.390 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 48.561 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1) 48.707 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 48.845 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 49.248 * * * [progress]: generating series expansions 49.248 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 49.249 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 49.249 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 49.250 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 49.250 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 49.250 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 49.250 * [taylor]: Taking taylor expansion of 1/4 in J 49.250 * [backup-simplify]: Simplify 1/4 into 1/4 49.250 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 49.250 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.250 * [taylor]: Taking taylor expansion of U in J 49.250 * [backup-simplify]: Simplify U into U 49.250 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 49.250 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 49.250 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.250 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.250 * [taylor]: Taking taylor expansion of 1/2 in J 49.250 * [backup-simplify]: Simplify 1/2 into 1/2 49.250 * [taylor]: Taking taylor expansion of K in J 49.250 * [backup-simplify]: Simplify K into K 49.250 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.250 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.250 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.250 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.250 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.251 * [backup-simplify]: Simplify (- 0) into 0 49.251 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.251 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.251 * [taylor]: Taking taylor expansion of J in J 49.251 * [backup-simplify]: Simplify 0 into 0 49.251 * [backup-simplify]: Simplify 1 into 1 49.251 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.251 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.252 * [backup-simplify]: Simplify (* 1 1) into 1 49.252 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 49.252 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 49.252 * [taylor]: Taking taylor expansion of 1 in J 49.252 * [backup-simplify]: Simplify 1 into 1 49.252 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.253 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.253 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 49.253 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.254 * [backup-simplify]: Simplify (+ 0) into 0 49.255 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.256 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.257 * [backup-simplify]: Simplify (- 0) into 0 49.257 * [backup-simplify]: Simplify (+ 0 0) into 0 49.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.258 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 49.258 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 49.259 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 49.259 * [backup-simplify]: Simplify (+ 0 0) into 0 49.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 49.259 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 49.259 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 49.259 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 49.259 * [taylor]: Taking taylor expansion of 1/4 in K 49.259 * [backup-simplify]: Simplify 1/4 into 1/4 49.260 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.260 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.260 * [taylor]: Taking taylor expansion of U in K 49.260 * [backup-simplify]: Simplify U into U 49.260 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.260 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.260 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.260 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.260 * [taylor]: Taking taylor expansion of 1/2 in K 49.260 * [backup-simplify]: Simplify 1/2 into 1/2 49.260 * [taylor]: Taking taylor expansion of K in K 49.260 * [backup-simplify]: Simplify 0 into 0 49.260 * [backup-simplify]: Simplify 1 into 1 49.260 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.261 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.261 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.261 * [taylor]: Taking taylor expansion of J in K 49.261 * [backup-simplify]: Simplify J into J 49.261 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.261 * [backup-simplify]: Simplify (* 1 1) into 1 49.261 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.262 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.262 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 49.262 * [taylor]: Taking taylor expansion of 1 in K 49.262 * [backup-simplify]: Simplify 1 into 1 49.262 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 49.262 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 49.262 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 49.262 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.263 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.263 * [backup-simplify]: Simplify (+ 0) into 0 49.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.264 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.265 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 49.265 * [backup-simplify]: Simplify (+ 0 0) into 0 49.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 49.266 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.266 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.266 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.266 * [taylor]: Taking taylor expansion of 1/4 in U 49.266 * [backup-simplify]: Simplify 1/4 into 1/4 49.266 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.266 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.266 * [taylor]: Taking taylor expansion of U in U 49.266 * [backup-simplify]: Simplify 0 into 0 49.266 * [backup-simplify]: Simplify 1 into 1 49.266 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.266 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.266 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.266 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.266 * [taylor]: Taking taylor expansion of 1/2 in U 49.266 * [backup-simplify]: Simplify 1/2 into 1/2 49.266 * [taylor]: Taking taylor expansion of K in U 49.266 * [backup-simplify]: Simplify K into K 49.266 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.266 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.266 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.266 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.267 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.267 * [backup-simplify]: Simplify (- 0) into 0 49.267 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.267 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.267 * [taylor]: Taking taylor expansion of J in U 49.267 * [backup-simplify]: Simplify J into J 49.267 * [backup-simplify]: Simplify (* 1 1) into 1 49.268 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.268 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.268 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.268 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.268 * [taylor]: Taking taylor expansion of 1 in U 49.268 * [backup-simplify]: Simplify 1 into 1 49.268 * [backup-simplify]: Simplify (+ 0 1) into 1 49.269 * [backup-simplify]: Simplify (sqrt 1) into 1 49.269 * [backup-simplify]: Simplify (+ 0 0) into 0 49.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.270 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.270 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.270 * [taylor]: Taking taylor expansion of 1/4 in U 49.270 * [backup-simplify]: Simplify 1/4 into 1/4 49.270 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.270 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.270 * [taylor]: Taking taylor expansion of U in U 49.270 * [backup-simplify]: Simplify 0 into 0 49.270 * [backup-simplify]: Simplify 1 into 1 49.270 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.270 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.270 * [taylor]: Taking taylor expansion of 1/2 in U 49.270 * [backup-simplify]: Simplify 1/2 into 1/2 49.270 * [taylor]: Taking taylor expansion of K in U 49.270 * [backup-simplify]: Simplify K into K 49.270 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.271 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.271 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.271 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.271 * [backup-simplify]: Simplify (- 0) into 0 49.271 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.271 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.271 * [taylor]: Taking taylor expansion of J in U 49.271 * [backup-simplify]: Simplify J into J 49.272 * [backup-simplify]: Simplify (* 1 1) into 1 49.272 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.272 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.272 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.272 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.272 * [taylor]: Taking taylor expansion of 1 in U 49.272 * [backup-simplify]: Simplify 1 into 1 49.273 * [backup-simplify]: Simplify (+ 0 1) into 1 49.273 * [backup-simplify]: Simplify (sqrt 1) into 1 49.273 * [backup-simplify]: Simplify (+ 0 0) into 0 49.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.274 * [taylor]: Taking taylor expansion of 1 in K 49.274 * [backup-simplify]: Simplify 1 into 1 49.274 * [taylor]: Taking taylor expansion of 1 in J 49.274 * [backup-simplify]: Simplify 1 into 1 49.274 * [taylor]: Taking taylor expansion of 0 in K 49.274 * [backup-simplify]: Simplify 0 into 0 49.274 * [taylor]: Taking taylor expansion of 0 in J 49.274 * [backup-simplify]: Simplify 0 into 0 49.274 * [taylor]: Taking taylor expansion of 0 in J 49.274 * [backup-simplify]: Simplify 0 into 0 49.274 * [backup-simplify]: Simplify 1 into 1 49.274 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.275 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 49.275 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.275 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.275 * [taylor]: Taking taylor expansion of 1/8 in K 49.275 * [backup-simplify]: Simplify 1/8 into 1/8 49.275 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.275 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.276 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.276 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.276 * [taylor]: Taking taylor expansion of 1/2 in K 49.276 * [backup-simplify]: Simplify 1/2 into 1/2 49.276 * [taylor]: Taking taylor expansion of K in K 49.276 * [backup-simplify]: Simplify 0 into 0 49.276 * [backup-simplify]: Simplify 1 into 1 49.276 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.276 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.276 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.276 * [taylor]: Taking taylor expansion of J in K 49.276 * [backup-simplify]: Simplify J into J 49.277 * [backup-simplify]: Simplify (* 1 1) into 1 49.277 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.277 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.277 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 49.277 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 49.277 * [taylor]: Taking taylor expansion of 1/8 in J 49.277 * [backup-simplify]: Simplify 1/8 into 1/8 49.277 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.277 * [taylor]: Taking taylor expansion of J in J 49.277 * [backup-simplify]: Simplify 0 into 0 49.277 * [backup-simplify]: Simplify 1 into 1 49.277 * [backup-simplify]: Simplify (* 1 1) into 1 49.277 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 49.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 49.278 * [backup-simplify]: Simplify 0 into 0 49.278 * [taylor]: Taking taylor expansion of 0 in J 49.278 * [backup-simplify]: Simplify 0 into 0 49.278 * [taylor]: Taking taylor expansion of 0 in J 49.278 * [backup-simplify]: Simplify 0 into 0 49.278 * [backup-simplify]: Simplify 0 into 0 49.278 * [backup-simplify]: Simplify 0 into 0 49.278 * [backup-simplify]: Simplify 0 into 0 49.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.279 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.279 * [backup-simplify]: Simplify (+ 0) into 0 49.279 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.281 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.281 * [backup-simplify]: Simplify (- 0) into 0 49.281 * [backup-simplify]: Simplify (+ 0 0) into 0 49.281 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.281 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 49.281 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 49.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 49.282 * [backup-simplify]: Simplify (+ 0 0) into 0 49.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 49.283 * [taylor]: Taking taylor expansion of 0 in K 49.283 * [backup-simplify]: Simplify 0 into 0 49.283 * [taylor]: Taking taylor expansion of 0 in J 49.283 * [backup-simplify]: Simplify 0 into 0 49.283 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.283 * [backup-simplify]: Simplify (+ 0) into 0 49.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.284 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 49.284 * [taylor]: Taking taylor expansion of 0 in J 49.284 * [backup-simplify]: Simplify 0 into 0 49.284 * [taylor]: Taking taylor expansion of 0 in J 49.284 * [backup-simplify]: Simplify 0 into 0 49.284 * [taylor]: Taking taylor expansion of 0 in J 49.284 * [backup-simplify]: Simplify 0 into 0 49.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.285 * [backup-simplify]: Simplify 0 into 0 49.285 * [backup-simplify]: Simplify 0 into 0 49.285 * [backup-simplify]: Simplify 1 into 1 49.285 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.285 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 49.285 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 49.285 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 49.285 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 49.285 * [taylor]: Taking taylor expansion of 1/4 in J 49.285 * [backup-simplify]: Simplify 1/4 into 1/4 49.285 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 49.285 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.286 * [taylor]: Taking taylor expansion of J in J 49.286 * [backup-simplify]: Simplify 0 into 0 49.286 * [backup-simplify]: Simplify 1 into 1 49.286 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 49.286 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.286 * [taylor]: Taking taylor expansion of U in J 49.286 * [backup-simplify]: Simplify U into U 49.286 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 49.286 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.286 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.286 * [taylor]: Taking taylor expansion of 1/2 in J 49.286 * [backup-simplify]: Simplify 1/2 into 1/2 49.286 * [taylor]: Taking taylor expansion of K in J 49.286 * [backup-simplify]: Simplify K into K 49.286 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.286 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.286 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.286 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.286 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.286 * [backup-simplify]: Simplify (- 0) into 0 49.286 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.286 * [backup-simplify]: Simplify (* 1 1) into 1 49.287 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.287 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.287 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.287 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.287 * [taylor]: Taking taylor expansion of 1 in J 49.287 * [backup-simplify]: Simplify 1 into 1 49.287 * [backup-simplify]: Simplify (+ 0 1) into 1 49.287 * [backup-simplify]: Simplify (sqrt 1) into 1 49.288 * [backup-simplify]: Simplify (+ 0 0) into 0 49.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.288 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 49.288 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 49.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 49.288 * [taylor]: Taking taylor expansion of 1/4 in K 49.288 * [backup-simplify]: Simplify 1/4 into 1/4 49.288 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 49.288 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.288 * [taylor]: Taking taylor expansion of J in K 49.288 * [backup-simplify]: Simplify J into J 49.288 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 49.288 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.288 * [taylor]: Taking taylor expansion of U in K 49.288 * [backup-simplify]: Simplify U into U 49.288 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 49.288 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.288 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.288 * [taylor]: Taking taylor expansion of 1/2 in K 49.288 * [backup-simplify]: Simplify 1/2 into 1/2 49.288 * [taylor]: Taking taylor expansion of K in K 49.288 * [backup-simplify]: Simplify 0 into 0 49.288 * [backup-simplify]: Simplify 1 into 1 49.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.289 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.289 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.289 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.289 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.289 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.289 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.289 * [taylor]: Taking taylor expansion of 1 in K 49.289 * [backup-simplify]: Simplify 1 into 1 49.289 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 49.289 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 49.290 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.290 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.290 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.290 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.290 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.291 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.291 * [backup-simplify]: Simplify (+ 0 0) into 0 49.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 49.291 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.291 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.291 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.291 * [taylor]: Taking taylor expansion of 1/4 in U 49.291 * [backup-simplify]: Simplify 1/4 into 1/4 49.291 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.291 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.291 * [taylor]: Taking taylor expansion of J in U 49.291 * [backup-simplify]: Simplify J into J 49.291 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.291 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.291 * [taylor]: Taking taylor expansion of U in U 49.291 * [backup-simplify]: Simplify 0 into 0 49.291 * [backup-simplify]: Simplify 1 into 1 49.291 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.291 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.291 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.291 * [taylor]: Taking taylor expansion of 1/2 in U 49.291 * [backup-simplify]: Simplify 1/2 into 1/2 49.291 * [taylor]: Taking taylor expansion of K in U 49.291 * [backup-simplify]: Simplify K into K 49.291 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.292 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.292 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.292 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.292 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.292 * [backup-simplify]: Simplify (- 0) into 0 49.292 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.292 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.292 * [backup-simplify]: Simplify (* 1 1) into 1 49.292 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.293 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.293 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.293 * [taylor]: Taking taylor expansion of 1 in U 49.293 * [backup-simplify]: Simplify 1 into 1 49.293 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.293 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.293 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.293 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.293 * [backup-simplify]: Simplify (+ 0) into 0 49.294 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.294 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.295 * [backup-simplify]: Simplify (- 0) into 0 49.295 * [backup-simplify]: Simplify (+ 0 0) into 0 49.295 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.296 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.297 * [backup-simplify]: Simplify (+ 0 0) into 0 49.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.297 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.297 * [taylor]: Taking taylor expansion of 1/4 in U 49.297 * [backup-simplify]: Simplify 1/4 into 1/4 49.297 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.297 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.297 * [taylor]: Taking taylor expansion of J in U 49.297 * [backup-simplify]: Simplify J into J 49.297 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.297 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.297 * [taylor]: Taking taylor expansion of U in U 49.297 * [backup-simplify]: Simplify 0 into 0 49.297 * [backup-simplify]: Simplify 1 into 1 49.297 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.297 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.297 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.297 * [taylor]: Taking taylor expansion of 1/2 in U 49.297 * [backup-simplify]: Simplify 1/2 into 1/2 49.297 * [taylor]: Taking taylor expansion of K in U 49.297 * [backup-simplify]: Simplify K into K 49.297 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.297 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.298 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.298 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.298 * [backup-simplify]: Simplify (- 0) into 0 49.298 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.298 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.298 * [backup-simplify]: Simplify (* 1 1) into 1 49.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.299 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.299 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.299 * [taylor]: Taking taylor expansion of 1 in U 49.299 * [backup-simplify]: Simplify 1 into 1 49.299 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.299 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.299 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.300 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.300 * [backup-simplify]: Simplify (+ 0) into 0 49.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.302 * [backup-simplify]: Simplify (- 0) into 0 49.303 * [backup-simplify]: Simplify (+ 0 0) into 0 49.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.304 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.305 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.305 * [backup-simplify]: Simplify (+ 0 0) into 0 49.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 49.306 * [taylor]: Taking taylor expansion of 1/2 in K 49.306 * [backup-simplify]: Simplify 1/2 into 1/2 49.306 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 49.306 * [taylor]: Taking taylor expansion of J in K 49.306 * [backup-simplify]: Simplify J into J 49.306 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.306 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.306 * [taylor]: Taking taylor expansion of 1/2 in K 49.306 * [backup-simplify]: Simplify 1/2 into 1/2 49.306 * [taylor]: Taking taylor expansion of K in K 49.306 * [backup-simplify]: Simplify 0 into 0 49.306 * [backup-simplify]: Simplify 1 into 1 49.306 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.307 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.307 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 49.307 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 49.307 * [taylor]: Taking taylor expansion of 1/2 in J 49.307 * [backup-simplify]: Simplify 1/2 into 1/2 49.307 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 49.307 * [taylor]: Taking taylor expansion of J in J 49.307 * [backup-simplify]: Simplify 0 into 0 49.307 * [backup-simplify]: Simplify 1 into 1 49.307 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.307 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.307 * [taylor]: Taking taylor expansion of 1/2 in J 49.307 * [backup-simplify]: Simplify 1/2 into 1/2 49.307 * [taylor]: Taking taylor expansion of K in J 49.307 * [backup-simplify]: Simplify K into K 49.307 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.307 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.307 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.307 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.307 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.308 * [backup-simplify]: Simplify (- 0) into 0 49.308 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.308 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 49.308 * [taylor]: Taking taylor expansion of 0 in K 49.308 * [backup-simplify]: Simplify 0 into 0 49.308 * [taylor]: Taking taylor expansion of 0 in J 49.308 * [backup-simplify]: Simplify 0 into 0 49.308 * [backup-simplify]: Simplify 0 into 0 49.308 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 49.309 * [taylor]: Taking taylor expansion of 0 in J 49.309 * [backup-simplify]: Simplify 0 into 0 49.309 * [backup-simplify]: Simplify 0 into 0 49.309 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 49.310 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 49.310 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.312 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.313 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.314 * [backup-simplify]: Simplify (- 0) into 0 49.314 * [backup-simplify]: Simplify (+ 0 0) into 0 49.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 49.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 49.317 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.318 * [backup-simplify]: Simplify (+ 0 1) into 1 49.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 49.319 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 49.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.319 * [taylor]: Taking taylor expansion of 1/2 in K 49.319 * [backup-simplify]: Simplify 1/2 into 1/2 49.319 * [taylor]: Taking taylor expansion of K in K 49.319 * [backup-simplify]: Simplify 0 into 0 49.319 * [backup-simplify]: Simplify 1 into 1 49.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.320 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.320 * [taylor]: Taking taylor expansion of J in K 49.320 * [backup-simplify]: Simplify J into J 49.320 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.320 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 49.320 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.320 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.320 * [taylor]: Taking taylor expansion of 1/2 in J 49.320 * [backup-simplify]: Simplify 1/2 into 1/2 49.320 * [taylor]: Taking taylor expansion of K in J 49.320 * [backup-simplify]: Simplify K into K 49.320 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.320 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.320 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.320 * [taylor]: Taking taylor expansion of J in J 49.320 * [backup-simplify]: Simplify 0 into 0 49.320 * [backup-simplify]: Simplify 1 into 1 49.321 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.321 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.321 * [backup-simplify]: Simplify (- 0) into 0 49.321 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.321 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.322 * [backup-simplify]: Simplify (+ 0) into 0 49.322 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.322 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.328 * [backup-simplify]: Simplify (- 0) into 0 49.328 * [backup-simplify]: Simplify (+ 0 0) into 0 49.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 49.329 * [backup-simplify]: Simplify 0 into 0 49.329 * [taylor]: Taking taylor expansion of 0 in J 49.329 * [backup-simplify]: Simplify 0 into 0 49.329 * [backup-simplify]: Simplify 0 into 0 49.329 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 49.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 49.330 * [taylor]: Taking taylor expansion of 0 in J 49.330 * [backup-simplify]: Simplify 0 into 0 49.330 * [backup-simplify]: Simplify 0 into 0 49.330 * [backup-simplify]: Simplify 0 into 0 49.330 * [backup-simplify]: Simplify 0 into 0 49.331 * [backup-simplify]: Simplify (+ 0) into 0 49.331 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.333 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.333 * [backup-simplify]: Simplify (- 0) into 0 49.333 * [backup-simplify]: Simplify (+ 0 0) into 0 49.334 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 49.334 * [backup-simplify]: Simplify 0 into 0 49.334 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 49.335 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 49.335 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 49.335 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 49.335 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 49.335 * [taylor]: Taking taylor expansion of 1 in J 49.335 * [backup-simplify]: Simplify 1 into 1 49.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 49.335 * [taylor]: Taking taylor expansion of 1/4 in J 49.335 * [backup-simplify]: Simplify 1/4 into 1/4 49.335 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 49.335 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.335 * [taylor]: Taking taylor expansion of J in J 49.335 * [backup-simplify]: Simplify 0 into 0 49.335 * [backup-simplify]: Simplify 1 into 1 49.335 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 49.335 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 49.335 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.335 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.335 * [taylor]: Taking taylor expansion of -1/2 in J 49.335 * [backup-simplify]: Simplify -1/2 into -1/2 49.336 * [taylor]: Taking taylor expansion of K in J 49.336 * [backup-simplify]: Simplify K into K 49.336 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.336 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.336 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.336 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.336 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.336 * [backup-simplify]: Simplify (- 0) into 0 49.336 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.336 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.336 * [taylor]: Taking taylor expansion of U in J 49.336 * [backup-simplify]: Simplify U into U 49.337 * [backup-simplify]: Simplify (* 1 1) into 1 49.337 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.337 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.337 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.337 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 49.338 * [backup-simplify]: Simplify (+ 1 0) into 1 49.338 * [backup-simplify]: Simplify (sqrt 1) into 1 49.339 * [backup-simplify]: Simplify (+ 0 0) into 0 49.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.339 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 49.339 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 49.339 * [taylor]: Taking taylor expansion of 1 in K 49.339 * [backup-simplify]: Simplify 1 into 1 49.339 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 49.339 * [taylor]: Taking taylor expansion of 1/4 in K 49.339 * [backup-simplify]: Simplify 1/4 into 1/4 49.339 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 49.340 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.340 * [taylor]: Taking taylor expansion of J in K 49.340 * [backup-simplify]: Simplify J into J 49.340 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 49.340 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 49.340 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.340 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.340 * [taylor]: Taking taylor expansion of -1/2 in K 49.340 * [backup-simplify]: Simplify -1/2 into -1/2 49.340 * [taylor]: Taking taylor expansion of K in K 49.340 * [backup-simplify]: Simplify 0 into 0 49.340 * [backup-simplify]: Simplify 1 into 1 49.340 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.340 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.340 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.340 * [taylor]: Taking taylor expansion of U in K 49.340 * [backup-simplify]: Simplify U into U 49.340 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.341 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.341 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.341 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.341 * [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))) 49.341 * [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)))) 49.342 * [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))))) 49.342 * [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)))))) 49.342 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.342 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.342 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 49.343 * [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 49.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 49.344 * [backup-simplify]: Simplify (+ 0 0) into 0 49.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 49.345 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.345 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.345 * [taylor]: Taking taylor expansion of 1 in U 49.345 * [backup-simplify]: Simplify 1 into 1 49.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.345 * [taylor]: Taking taylor expansion of 1/4 in U 49.345 * [backup-simplify]: Simplify 1/4 into 1/4 49.345 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.345 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.345 * [taylor]: Taking taylor expansion of J in U 49.345 * [backup-simplify]: Simplify J into J 49.345 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.345 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.345 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.345 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.345 * [taylor]: Taking taylor expansion of -1/2 in U 49.345 * [backup-simplify]: Simplify -1/2 into -1/2 49.345 * [taylor]: Taking taylor expansion of K in U 49.345 * [backup-simplify]: Simplify K into K 49.345 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.345 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.345 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.345 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.345 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.346 * [backup-simplify]: Simplify (- 0) into 0 49.346 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.346 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.346 * [taylor]: Taking taylor expansion of U in U 49.346 * [backup-simplify]: Simplify 0 into 0 49.346 * [backup-simplify]: Simplify 1 into 1 49.346 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.346 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.347 * [backup-simplify]: Simplify (* 1 1) into 1 49.347 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.347 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.347 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.347 * [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))) 49.348 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.348 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.349 * [backup-simplify]: Simplify (+ 0) into 0 49.349 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.349 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.351 * [backup-simplify]: Simplify (- 0) into 0 49.351 * [backup-simplify]: Simplify (+ 0 0) into 0 49.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.352 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.352 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.353 * [backup-simplify]: Simplify (+ 0 0) into 0 49.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.354 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.354 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.354 * [taylor]: Taking taylor expansion of 1 in U 49.354 * [backup-simplify]: Simplify 1 into 1 49.354 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.354 * [taylor]: Taking taylor expansion of 1/4 in U 49.354 * [backup-simplify]: Simplify 1/4 into 1/4 49.354 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.354 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.354 * [taylor]: Taking taylor expansion of J in U 49.354 * [backup-simplify]: Simplify J into J 49.354 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.354 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.354 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.354 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.354 * [taylor]: Taking taylor expansion of -1/2 in U 49.354 * [backup-simplify]: Simplify -1/2 into -1/2 49.354 * [taylor]: Taking taylor expansion of K in U 49.354 * [backup-simplify]: Simplify K into K 49.354 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.354 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.354 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.354 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.355 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.355 * [backup-simplify]: Simplify (- 0) into 0 49.355 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.355 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.355 * [taylor]: Taking taylor expansion of U in U 49.355 * [backup-simplify]: Simplify 0 into 0 49.355 * [backup-simplify]: Simplify 1 into 1 49.355 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.355 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.356 * [backup-simplify]: Simplify (* 1 1) into 1 49.356 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.356 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.356 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.356 * [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))) 49.357 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.357 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.358 * [backup-simplify]: Simplify (+ 0) into 0 49.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.359 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.360 * [backup-simplify]: Simplify (- 0) into 0 49.360 * [backup-simplify]: Simplify (+ 0 0) into 0 49.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.361 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.361 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.362 * [backup-simplify]: Simplify (+ 0 0) into 0 49.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 49.363 * [taylor]: Taking taylor expansion of 1/2 in K 49.363 * [backup-simplify]: Simplify 1/2 into 1/2 49.363 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 49.363 * [taylor]: Taking taylor expansion of J in K 49.363 * [backup-simplify]: Simplify J into J 49.363 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.363 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.363 * [taylor]: Taking taylor expansion of -1/2 in K 49.363 * [backup-simplify]: Simplify -1/2 into -1/2 49.363 * [taylor]: Taking taylor expansion of K in K 49.363 * [backup-simplify]: Simplify 0 into 0 49.363 * [backup-simplify]: Simplify 1 into 1 49.363 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.364 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.364 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 49.364 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 49.364 * [taylor]: Taking taylor expansion of 1/2 in J 49.364 * [backup-simplify]: Simplify 1/2 into 1/2 49.364 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 49.364 * [taylor]: Taking taylor expansion of J in J 49.364 * [backup-simplify]: Simplify 0 into 0 49.364 * [backup-simplify]: Simplify 1 into 1 49.364 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.364 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.364 * [taylor]: Taking taylor expansion of -1/2 in J 49.364 * [backup-simplify]: Simplify -1/2 into -1/2 49.364 * [taylor]: Taking taylor expansion of K in J 49.364 * [backup-simplify]: Simplify K into K 49.364 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.364 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.364 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.364 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.364 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.365 * [backup-simplify]: Simplify (- 0) into 0 49.365 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.365 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 49.365 * [taylor]: Taking taylor expansion of 0 in K 49.365 * [backup-simplify]: Simplify 0 into 0 49.365 * [taylor]: Taking taylor expansion of 0 in J 49.365 * [backup-simplify]: Simplify 0 into 0 49.365 * [backup-simplify]: Simplify 0 into 0 49.365 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 49.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 49.366 * [taylor]: Taking taylor expansion of 0 in J 49.366 * [backup-simplify]: Simplify 0 into 0 49.366 * [backup-simplify]: Simplify 0 into 0 49.366 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 49.366 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 49.367 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.368 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.371 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.371 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.372 * [backup-simplify]: Simplify (- 0) into 0 49.372 * [backup-simplify]: Simplify (+ 0 0) into 0 49.372 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 49.373 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 49.374 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 49.375 * [backup-simplify]: Simplify (+ 1 0) into 1 49.376 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 49.376 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 49.376 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.376 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.376 * [taylor]: Taking taylor expansion of -1/2 in K 49.376 * [backup-simplify]: Simplify -1/2 into -1/2 49.376 * [taylor]: Taking taylor expansion of K in K 49.376 * [backup-simplify]: Simplify 0 into 0 49.376 * [backup-simplify]: Simplify 1 into 1 49.376 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.377 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.377 * [taylor]: Taking taylor expansion of J in K 49.377 * [backup-simplify]: Simplify J into J 49.377 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 49.377 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 49.377 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.377 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.377 * [taylor]: Taking taylor expansion of -1/2 in J 49.377 * [backup-simplify]: Simplify -1/2 into -1/2 49.377 * [taylor]: Taking taylor expansion of K in J 49.377 * [backup-simplify]: Simplify K into K 49.377 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.377 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.377 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.377 * [taylor]: Taking taylor expansion of J in J 49.377 * [backup-simplify]: Simplify 0 into 0 49.377 * [backup-simplify]: Simplify 1 into 1 49.377 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.377 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.378 * [backup-simplify]: Simplify (- 0) into 0 49.378 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.378 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.378 * [backup-simplify]: Simplify (+ 0) into 0 49.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.379 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.380 * [backup-simplify]: Simplify (- 0) into 0 49.381 * [backup-simplify]: Simplify (+ 0 0) into 0 49.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 49.382 * [backup-simplify]: Simplify 0 into 0 49.382 * [taylor]: Taking taylor expansion of 0 in J 49.382 * [backup-simplify]: Simplify 0 into 0 49.382 * [backup-simplify]: Simplify 0 into 0 49.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 49.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 49.383 * [taylor]: Taking taylor expansion of 0 in J 49.383 * [backup-simplify]: Simplify 0 into 0 49.383 * [backup-simplify]: Simplify 0 into 0 49.383 * [backup-simplify]: Simplify 0 into 0 49.383 * [backup-simplify]: Simplify 0 into 0 49.384 * [backup-simplify]: Simplify (+ 0) into 0 49.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.384 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.385 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.386 * [backup-simplify]: Simplify (- 0) into 0 49.386 * [backup-simplify]: Simplify (+ 0 0) into 0 49.387 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 49.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 49.387 * [backup-simplify]: Simplify 0 into 0 49.387 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 49.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1) 49.388 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 49.388 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 49.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 49.388 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 49.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 49.388 * [taylor]: Taking taylor expansion of 1/4 in J 49.388 * [backup-simplify]: Simplify 1/4 into 1/4 49.388 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 49.388 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.388 * [taylor]: Taking taylor expansion of U in J 49.388 * [backup-simplify]: Simplify U into U 49.388 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 49.388 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 49.388 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.388 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.388 * [taylor]: Taking taylor expansion of 1/2 in J 49.389 * [backup-simplify]: Simplify 1/2 into 1/2 49.389 * [taylor]: Taking taylor expansion of K in J 49.389 * [backup-simplify]: Simplify K into K 49.389 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.389 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.389 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.389 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.389 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.389 * [backup-simplify]: Simplify (- 0) into 0 49.389 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.389 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.389 * [taylor]: Taking taylor expansion of J in J 49.390 * [backup-simplify]: Simplify 0 into 0 49.390 * [backup-simplify]: Simplify 1 into 1 49.390 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.390 * [backup-simplify]: Simplify (* 1 1) into 1 49.390 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 49.390 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 49.390 * [taylor]: Taking taylor expansion of 1 in J 49.390 * [backup-simplify]: Simplify 1 into 1 49.391 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.391 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.391 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 49.391 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.392 * [backup-simplify]: Simplify (+ 0) into 0 49.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.395 * [backup-simplify]: Simplify (- 0) into 0 49.395 * [backup-simplify]: Simplify (+ 0 0) into 0 49.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.396 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 49.396 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 49.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 49.397 * [backup-simplify]: Simplify (+ 0 0) into 0 49.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 49.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 49.397 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 49.398 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 49.398 * [taylor]: Taking taylor expansion of 1/4 in K 49.398 * [backup-simplify]: Simplify 1/4 into 1/4 49.398 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.398 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.398 * [taylor]: Taking taylor expansion of U in K 49.398 * [backup-simplify]: Simplify U into U 49.398 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.398 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.398 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.398 * [taylor]: Taking taylor expansion of 1/2 in K 49.398 * [backup-simplify]: Simplify 1/2 into 1/2 49.398 * [taylor]: Taking taylor expansion of K in K 49.398 * [backup-simplify]: Simplify 0 into 0 49.398 * [backup-simplify]: Simplify 1 into 1 49.398 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.399 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.399 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.399 * [taylor]: Taking taylor expansion of J in K 49.399 * [backup-simplify]: Simplify J into J 49.399 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.400 * [backup-simplify]: Simplify (* 1 1) into 1 49.400 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.400 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.400 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 49.400 * [taylor]: Taking taylor expansion of 1 in K 49.400 * [backup-simplify]: Simplify 1 into 1 49.400 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 49.400 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 49.400 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 49.401 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.401 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.401 * [backup-simplify]: Simplify (+ 0) into 0 49.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.402 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 49.403 * [backup-simplify]: Simplify (+ 0 0) into 0 49.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 49.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.404 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.404 * [taylor]: Taking taylor expansion of 1/4 in U 49.404 * [backup-simplify]: Simplify 1/4 into 1/4 49.404 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.404 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.404 * [taylor]: Taking taylor expansion of U in U 49.404 * [backup-simplify]: Simplify 0 into 0 49.404 * [backup-simplify]: Simplify 1 into 1 49.404 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.404 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.404 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.404 * [taylor]: Taking taylor expansion of 1/2 in U 49.404 * [backup-simplify]: Simplify 1/2 into 1/2 49.404 * [taylor]: Taking taylor expansion of K in U 49.404 * [backup-simplify]: Simplify K into K 49.404 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.404 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.404 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.404 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.404 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.405 * [backup-simplify]: Simplify (- 0) into 0 49.405 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.405 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.405 * [taylor]: Taking taylor expansion of J in U 49.405 * [backup-simplify]: Simplify J into J 49.405 * [backup-simplify]: Simplify (* 1 1) into 1 49.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.406 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.406 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.406 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.406 * [taylor]: Taking taylor expansion of 1 in U 49.406 * [backup-simplify]: Simplify 1 into 1 49.406 * [backup-simplify]: Simplify (+ 0 1) into 1 49.407 * [backup-simplify]: Simplify (sqrt 1) into 1 49.407 * [backup-simplify]: Simplify (+ 0 0) into 0 49.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.408 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.408 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.408 * [taylor]: Taking taylor expansion of 1/4 in U 49.408 * [backup-simplify]: Simplify 1/4 into 1/4 49.408 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.408 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.408 * [taylor]: Taking taylor expansion of U in U 49.408 * [backup-simplify]: Simplify 0 into 0 49.408 * [backup-simplify]: Simplify 1 into 1 49.408 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.408 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.408 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.408 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.408 * [taylor]: Taking taylor expansion of 1/2 in U 49.408 * [backup-simplify]: Simplify 1/2 into 1/2 49.408 * [taylor]: Taking taylor expansion of K in U 49.409 * [backup-simplify]: Simplify K into K 49.409 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.409 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.409 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.409 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.409 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.409 * [backup-simplify]: Simplify (- 0) into 0 49.409 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.409 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.409 * [taylor]: Taking taylor expansion of J in U 49.409 * [backup-simplify]: Simplify J into J 49.410 * [backup-simplify]: Simplify (* 1 1) into 1 49.410 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.410 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.410 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.410 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.410 * [taylor]: Taking taylor expansion of 1 in U 49.410 * [backup-simplify]: Simplify 1 into 1 49.411 * [backup-simplify]: Simplify (+ 0 1) into 1 49.411 * [backup-simplify]: Simplify (sqrt 1) into 1 49.412 * [backup-simplify]: Simplify (+ 0 0) into 0 49.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.412 * [taylor]: Taking taylor expansion of 1 in K 49.412 * [backup-simplify]: Simplify 1 into 1 49.412 * [taylor]: Taking taylor expansion of 1 in J 49.412 * [backup-simplify]: Simplify 1 into 1 49.413 * [taylor]: Taking taylor expansion of 0 in K 49.413 * [backup-simplify]: Simplify 0 into 0 49.413 * [taylor]: Taking taylor expansion of 0 in J 49.413 * [backup-simplify]: Simplify 0 into 0 49.413 * [taylor]: Taking taylor expansion of 0 in J 49.413 * [backup-simplify]: Simplify 0 into 0 49.413 * [backup-simplify]: Simplify 1 into 1 49.413 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.413 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 49.415 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.415 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.415 * [taylor]: Taking taylor expansion of 1/8 in K 49.415 * [backup-simplify]: Simplify 1/8 into 1/8 49.415 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.415 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.415 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.415 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.415 * [taylor]: Taking taylor expansion of 1/2 in K 49.415 * [backup-simplify]: Simplify 1/2 into 1/2 49.415 * [taylor]: Taking taylor expansion of K in K 49.415 * [backup-simplify]: Simplify 0 into 0 49.415 * [backup-simplify]: Simplify 1 into 1 49.415 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.416 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.416 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.416 * [taylor]: Taking taylor expansion of J in K 49.416 * [backup-simplify]: Simplify J into J 49.416 * [backup-simplify]: Simplify (* 1 1) into 1 49.417 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.417 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.417 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 49.417 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 49.417 * [taylor]: Taking taylor expansion of 1/8 in J 49.417 * [backup-simplify]: Simplify 1/8 into 1/8 49.417 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.417 * [taylor]: Taking taylor expansion of J in J 49.417 * [backup-simplify]: Simplify 0 into 0 49.417 * [backup-simplify]: Simplify 1 into 1 49.417 * [backup-simplify]: Simplify (* 1 1) into 1 49.418 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 49.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 49.419 * [backup-simplify]: Simplify 0 into 0 49.419 * [taylor]: Taking taylor expansion of 0 in J 49.419 * [backup-simplify]: Simplify 0 into 0 49.419 * [taylor]: Taking taylor expansion of 0 in J 49.419 * [backup-simplify]: Simplify 0 into 0 49.419 * [backup-simplify]: Simplify 0 into 0 49.419 * [backup-simplify]: Simplify 0 into 0 49.420 * [backup-simplify]: Simplify 0 into 0 49.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.420 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.421 * [backup-simplify]: Simplify (+ 0) into 0 49.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.423 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.423 * [backup-simplify]: Simplify (- 0) into 0 49.424 * [backup-simplify]: Simplify (+ 0 0) into 0 49.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.424 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 49.424 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 49.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 49.425 * [backup-simplify]: Simplify (+ 0 0) into 0 49.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 49.426 * [taylor]: Taking taylor expansion of 0 in K 49.426 * [backup-simplify]: Simplify 0 into 0 49.426 * [taylor]: Taking taylor expansion of 0 in J 49.426 * [backup-simplify]: Simplify 0 into 0 49.426 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.427 * [backup-simplify]: Simplify (+ 0) into 0 49.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.428 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 49.428 * [taylor]: Taking taylor expansion of 0 in J 49.428 * [backup-simplify]: Simplify 0 into 0 49.428 * [taylor]: Taking taylor expansion of 0 in J 49.428 * [backup-simplify]: Simplify 0 into 0 49.428 * [taylor]: Taking taylor expansion of 0 in J 49.428 * [backup-simplify]: Simplify 0 into 0 49.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.430 * [backup-simplify]: Simplify 0 into 0 49.431 * [backup-simplify]: Simplify 0 into 0 49.431 * [backup-simplify]: Simplify 1 into 1 49.431 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.431 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 49.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 49.431 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 49.432 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 49.432 * [taylor]: Taking taylor expansion of 1/4 in J 49.432 * [backup-simplify]: Simplify 1/4 into 1/4 49.432 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 49.432 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.432 * [taylor]: Taking taylor expansion of J in J 49.432 * [backup-simplify]: Simplify 0 into 0 49.432 * [backup-simplify]: Simplify 1 into 1 49.432 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 49.432 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.432 * [taylor]: Taking taylor expansion of U in J 49.432 * [backup-simplify]: Simplify U into U 49.432 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 49.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.432 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.432 * [taylor]: Taking taylor expansion of 1/2 in J 49.432 * [backup-simplify]: Simplify 1/2 into 1/2 49.432 * [taylor]: Taking taylor expansion of K in J 49.432 * [backup-simplify]: Simplify K into K 49.432 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.432 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.432 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.432 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.433 * [backup-simplify]: Simplify (- 0) into 0 49.433 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.433 * [backup-simplify]: Simplify (* 1 1) into 1 49.434 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.434 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.434 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.434 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.434 * [taylor]: Taking taylor expansion of 1 in J 49.434 * [backup-simplify]: Simplify 1 into 1 49.434 * [backup-simplify]: Simplify (+ 0 1) into 1 49.435 * [backup-simplify]: Simplify (sqrt 1) into 1 49.435 * [backup-simplify]: Simplify (+ 0 0) into 0 49.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.436 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 49.436 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 49.436 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 49.436 * [taylor]: Taking taylor expansion of 1/4 in K 49.436 * [backup-simplify]: Simplify 1/4 into 1/4 49.436 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 49.436 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.436 * [taylor]: Taking taylor expansion of J in K 49.436 * [backup-simplify]: Simplify J into J 49.436 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 49.436 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.436 * [taylor]: Taking taylor expansion of U in K 49.436 * [backup-simplify]: Simplify U into U 49.436 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 49.436 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.436 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.436 * [taylor]: Taking taylor expansion of 1/2 in K 49.436 * [backup-simplify]: Simplify 1/2 into 1/2 49.436 * [taylor]: Taking taylor expansion of K in K 49.436 * [backup-simplify]: Simplify 0 into 0 49.436 * [backup-simplify]: Simplify 1 into 1 49.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.437 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.437 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.437 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.437 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.438 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.438 * [taylor]: Taking taylor expansion of 1 in K 49.438 * [backup-simplify]: Simplify 1 into 1 49.438 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 49.438 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 49.439 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.439 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.439 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.439 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.439 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.440 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.441 * [backup-simplify]: Simplify (+ 0 0) into 0 49.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 49.441 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.441 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.441 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.441 * [taylor]: Taking taylor expansion of 1/4 in U 49.442 * [backup-simplify]: Simplify 1/4 into 1/4 49.442 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.442 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.442 * [taylor]: Taking taylor expansion of J in U 49.442 * [backup-simplify]: Simplify J into J 49.442 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.442 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.442 * [taylor]: Taking taylor expansion of U in U 49.442 * [backup-simplify]: Simplify 0 into 0 49.442 * [backup-simplify]: Simplify 1 into 1 49.442 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.442 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.442 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.442 * [taylor]: Taking taylor expansion of 1/2 in U 49.442 * [backup-simplify]: Simplify 1/2 into 1/2 49.442 * [taylor]: Taking taylor expansion of K in U 49.442 * [backup-simplify]: Simplify K into K 49.442 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.442 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.442 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.442 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.442 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.443 * [backup-simplify]: Simplify (- 0) into 0 49.443 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.443 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.443 * [backup-simplify]: Simplify (* 1 1) into 1 49.443 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.443 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.444 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.444 * [taylor]: Taking taylor expansion of 1 in U 49.444 * [backup-simplify]: Simplify 1 into 1 49.444 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.444 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.444 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.444 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.445 * [backup-simplify]: Simplify (+ 0) into 0 49.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.446 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.447 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.447 * [backup-simplify]: Simplify (- 0) into 0 49.448 * [backup-simplify]: Simplify (+ 0 0) into 0 49.448 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.449 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.450 * [backup-simplify]: Simplify (+ 0 0) into 0 49.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.451 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.451 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.451 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.451 * [taylor]: Taking taylor expansion of 1/4 in U 49.451 * [backup-simplify]: Simplify 1/4 into 1/4 49.451 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.451 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.451 * [taylor]: Taking taylor expansion of J in U 49.451 * [backup-simplify]: Simplify J into J 49.451 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.451 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.451 * [taylor]: Taking taylor expansion of U in U 49.451 * [backup-simplify]: Simplify 0 into 0 49.451 * [backup-simplify]: Simplify 1 into 1 49.451 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.451 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.451 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.451 * [taylor]: Taking taylor expansion of 1/2 in U 49.451 * [backup-simplify]: Simplify 1/2 into 1/2 49.451 * [taylor]: Taking taylor expansion of K in U 49.451 * [backup-simplify]: Simplify K into K 49.451 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.451 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.451 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.451 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.452 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.452 * [backup-simplify]: Simplify (- 0) into 0 49.452 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.452 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.452 * [backup-simplify]: Simplify (* 1 1) into 1 49.453 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.453 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.453 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.453 * [taylor]: Taking taylor expansion of 1 in U 49.453 * [backup-simplify]: Simplify 1 into 1 49.453 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.453 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.454 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.454 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.454 * [backup-simplify]: Simplify (+ 0) into 0 49.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.456 * [backup-simplify]: Simplify (- 0) into 0 49.457 * [backup-simplify]: Simplify (+ 0 0) into 0 49.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.458 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.459 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.459 * [backup-simplify]: Simplify (+ 0 0) into 0 49.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 49.460 * [taylor]: Taking taylor expansion of 1/2 in K 49.460 * [backup-simplify]: Simplify 1/2 into 1/2 49.460 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 49.460 * [taylor]: Taking taylor expansion of J in K 49.460 * [backup-simplify]: Simplify J into J 49.460 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.460 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.460 * [taylor]: Taking taylor expansion of 1/2 in K 49.460 * [backup-simplify]: Simplify 1/2 into 1/2 49.460 * [taylor]: Taking taylor expansion of K in K 49.460 * [backup-simplify]: Simplify 0 into 0 49.460 * [backup-simplify]: Simplify 1 into 1 49.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.461 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.461 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 49.461 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 49.461 * [taylor]: Taking taylor expansion of 1/2 in J 49.461 * [backup-simplify]: Simplify 1/2 into 1/2 49.461 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 49.461 * [taylor]: Taking taylor expansion of J in J 49.461 * [backup-simplify]: Simplify 0 into 0 49.461 * [backup-simplify]: Simplify 1 into 1 49.461 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.461 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.461 * [taylor]: Taking taylor expansion of 1/2 in J 49.461 * [backup-simplify]: Simplify 1/2 into 1/2 49.461 * [taylor]: Taking taylor expansion of K in J 49.461 * [backup-simplify]: Simplify K into K 49.461 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.461 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.461 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.461 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.461 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.462 * [backup-simplify]: Simplify (- 0) into 0 49.462 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.462 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 49.462 * [taylor]: Taking taylor expansion of 0 in K 49.462 * [backup-simplify]: Simplify 0 into 0 49.462 * [taylor]: Taking taylor expansion of 0 in J 49.462 * [backup-simplify]: Simplify 0 into 0 49.462 * [backup-simplify]: Simplify 0 into 0 49.462 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 49.463 * [taylor]: Taking taylor expansion of 0 in J 49.463 * [backup-simplify]: Simplify 0 into 0 49.463 * [backup-simplify]: Simplify 0 into 0 49.463 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 49.463 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 49.464 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.466 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.467 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.467 * [backup-simplify]: Simplify (- 0) into 0 49.468 * [backup-simplify]: Simplify (+ 0 0) into 0 49.468 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 49.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 49.470 * [backup-simplify]: 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 49.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.472 * [backup-simplify]: Simplify (+ 0 1) into 1 49.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 49.473 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 49.473 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.473 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.473 * [taylor]: Taking taylor expansion of 1/2 in K 49.473 * [backup-simplify]: Simplify 1/2 into 1/2 49.473 * [taylor]: Taking taylor expansion of K in K 49.473 * [backup-simplify]: Simplify 0 into 0 49.473 * [backup-simplify]: Simplify 1 into 1 49.473 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.473 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.474 * [taylor]: Taking taylor expansion of J in K 49.474 * [backup-simplify]: Simplify J into J 49.474 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.474 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 49.474 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.474 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.474 * [taylor]: Taking taylor expansion of 1/2 in J 49.474 * [backup-simplify]: Simplify 1/2 into 1/2 49.474 * [taylor]: Taking taylor expansion of K in J 49.474 * [backup-simplify]: Simplify K into K 49.474 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.474 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.474 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.474 * [taylor]: Taking taylor expansion of J in J 49.474 * [backup-simplify]: Simplify 0 into 0 49.474 * [backup-simplify]: Simplify 1 into 1 49.474 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.474 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.478 * [backup-simplify]: Simplify (- 0) into 0 49.479 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.479 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.479 * [backup-simplify]: Simplify (+ 0) into 0 49.480 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.480 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.482 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.482 * [backup-simplify]: Simplify (- 0) into 0 49.482 * [backup-simplify]: Simplify (+ 0 0) into 0 49.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 49.484 * [backup-simplify]: Simplify 0 into 0 49.484 * [taylor]: Taking taylor expansion of 0 in J 49.484 * [backup-simplify]: Simplify 0 into 0 49.484 * [backup-simplify]: Simplify 0 into 0 49.484 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 49.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 49.485 * [taylor]: Taking taylor expansion of 0 in J 49.485 * [backup-simplify]: Simplify 0 into 0 49.485 * [backup-simplify]: Simplify 0 into 0 49.485 * [backup-simplify]: Simplify 0 into 0 49.485 * [backup-simplify]: Simplify 0 into 0 49.485 * [backup-simplify]: Simplify (+ 0) into 0 49.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.487 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.487 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.488 * [backup-simplify]: Simplify (- 0) into 0 49.488 * [backup-simplify]: Simplify (+ 0 0) into 0 49.488 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 49.489 * [backup-simplify]: Simplify 0 into 0 49.489 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 49.490 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 49.490 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 49.490 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 49.490 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 49.490 * [taylor]: Taking taylor expansion of 1 in J 49.490 * [backup-simplify]: Simplify 1 into 1 49.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 49.490 * [taylor]: Taking taylor expansion of 1/4 in J 49.490 * [backup-simplify]: Simplify 1/4 into 1/4 49.490 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 49.490 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.490 * [taylor]: Taking taylor expansion of J in J 49.490 * [backup-simplify]: Simplify 0 into 0 49.490 * [backup-simplify]: Simplify 1 into 1 49.490 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 49.490 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 49.490 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.490 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.490 * [taylor]: Taking taylor expansion of -1/2 in J 49.490 * [backup-simplify]: Simplify -1/2 into -1/2 49.490 * [taylor]: Taking taylor expansion of K in J 49.490 * [backup-simplify]: Simplify K into K 49.491 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.491 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.491 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.491 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.491 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.491 * [backup-simplify]: Simplify (- 0) into 0 49.491 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.491 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.491 * [taylor]: Taking taylor expansion of U in J 49.491 * [backup-simplify]: Simplify U into U 49.492 * [backup-simplify]: Simplify (* 1 1) into 1 49.492 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.492 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.492 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.492 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 49.493 * [backup-simplify]: Simplify (+ 1 0) into 1 49.493 * [backup-simplify]: Simplify (sqrt 1) into 1 49.494 * [backup-simplify]: Simplify (+ 0 0) into 0 49.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.494 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 49.494 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 49.494 * [taylor]: Taking taylor expansion of 1 in K 49.494 * [backup-simplify]: Simplify 1 into 1 49.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 49.494 * [taylor]: Taking taylor expansion of 1/4 in K 49.494 * [backup-simplify]: Simplify 1/4 into 1/4 49.494 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 49.494 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.495 * [taylor]: Taking taylor expansion of J in K 49.495 * [backup-simplify]: Simplify J into J 49.495 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 49.495 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 49.495 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.495 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.495 * [taylor]: Taking taylor expansion of -1/2 in K 49.495 * [backup-simplify]: Simplify -1/2 into -1/2 49.495 * [taylor]: Taking taylor expansion of K in K 49.495 * [backup-simplify]: Simplify 0 into 0 49.495 * [backup-simplify]: Simplify 1 into 1 49.495 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.495 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.495 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.495 * [taylor]: Taking taylor expansion of U in K 49.495 * [backup-simplify]: Simplify U into U 49.495 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.496 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.496 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.496 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.496 * [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))) 49.496 * [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)))) 49.497 * [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))))) 49.497 * [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)))))) 49.497 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.497 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.497 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.497 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 49.498 * [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 49.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 49.499 * [backup-simplify]: Simplify (+ 0 0) into 0 49.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 49.500 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.500 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.500 * [taylor]: Taking taylor expansion of 1 in U 49.500 * [backup-simplify]: Simplify 1 into 1 49.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.500 * [taylor]: Taking taylor expansion of 1/4 in U 49.500 * [backup-simplify]: Simplify 1/4 into 1/4 49.500 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.500 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.500 * [taylor]: Taking taylor expansion of J in U 49.500 * [backup-simplify]: Simplify J into J 49.500 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.500 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.500 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.500 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.500 * [taylor]: Taking taylor expansion of -1/2 in U 49.500 * [backup-simplify]: Simplify -1/2 into -1/2 49.500 * [taylor]: Taking taylor expansion of K in U 49.500 * [backup-simplify]: Simplify K into K 49.500 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.500 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.500 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.500 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.501 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.501 * [backup-simplify]: Simplify (- 0) into 0 49.501 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.501 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.501 * [taylor]: Taking taylor expansion of U in U 49.501 * [backup-simplify]: Simplify 0 into 0 49.501 * [backup-simplify]: Simplify 1 into 1 49.501 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.502 * [backup-simplify]: Simplify (* 1 1) into 1 49.502 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.502 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.502 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.502 * [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))) 49.503 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.503 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.504 * [backup-simplify]: Simplify (+ 0) into 0 49.504 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.506 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.506 * [backup-simplify]: Simplify (- 0) into 0 49.506 * [backup-simplify]: Simplify (+ 0 0) into 0 49.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.507 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.507 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.508 * [backup-simplify]: Simplify (+ 0 0) into 0 49.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.509 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.509 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.509 * [taylor]: Taking taylor expansion of 1 in U 49.509 * [backup-simplify]: Simplify 1 into 1 49.509 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.509 * [taylor]: Taking taylor expansion of 1/4 in U 49.509 * [backup-simplify]: Simplify 1/4 into 1/4 49.509 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.509 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.509 * [taylor]: Taking taylor expansion of J in U 49.509 * [backup-simplify]: Simplify J into J 49.509 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.509 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.509 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.509 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.509 * [taylor]: Taking taylor expansion of -1/2 in U 49.509 * [backup-simplify]: Simplify -1/2 into -1/2 49.509 * [taylor]: Taking taylor expansion of K in U 49.509 * [backup-simplify]: Simplify K into K 49.509 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.509 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.509 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.509 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.509 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.510 * [backup-simplify]: Simplify (- 0) into 0 49.510 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.510 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.510 * [taylor]: Taking taylor expansion of U in U 49.510 * [backup-simplify]: Simplify 0 into 0 49.510 * [backup-simplify]: Simplify 1 into 1 49.510 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.510 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.511 * [backup-simplify]: Simplify (* 1 1) into 1 49.511 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.511 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.511 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.511 * [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))) 49.511 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.512 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.513 * [backup-simplify]: Simplify (+ 0) into 0 49.513 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.513 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.514 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.515 * [backup-simplify]: Simplify (- 0) into 0 49.515 * [backup-simplify]: Simplify (+ 0 0) into 0 49.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.516 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.516 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.517 * [backup-simplify]: Simplify (+ 0 0) into 0 49.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.517 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 49.517 * [taylor]: Taking taylor expansion of 1/2 in K 49.518 * [backup-simplify]: Simplify 1/2 into 1/2 49.518 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 49.518 * [taylor]: Taking taylor expansion of J in K 49.518 * [backup-simplify]: Simplify J into J 49.518 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.518 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.518 * [taylor]: Taking taylor expansion of -1/2 in K 49.518 * [backup-simplify]: Simplify -1/2 into -1/2 49.518 * [taylor]: Taking taylor expansion of K in K 49.518 * [backup-simplify]: Simplify 0 into 0 49.518 * [backup-simplify]: Simplify 1 into 1 49.518 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.518 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.518 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 49.518 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 49.519 * [taylor]: Taking taylor expansion of 1/2 in J 49.519 * [backup-simplify]: Simplify 1/2 into 1/2 49.519 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 49.519 * [taylor]: Taking taylor expansion of J in J 49.519 * [backup-simplify]: Simplify 0 into 0 49.519 * [backup-simplify]: Simplify 1 into 1 49.519 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.519 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.519 * [taylor]: Taking taylor expansion of -1/2 in J 49.519 * [backup-simplify]: Simplify -1/2 into -1/2 49.519 * [taylor]: Taking taylor expansion of K in J 49.519 * [backup-simplify]: Simplify K into K 49.519 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.519 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.519 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.519 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.519 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.520 * [backup-simplify]: Simplify (- 0) into 0 49.520 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.520 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 49.520 * [taylor]: Taking taylor expansion of 0 in K 49.520 * [backup-simplify]: Simplify 0 into 0 49.520 * [taylor]: Taking taylor expansion of 0 in J 49.520 * [backup-simplify]: Simplify 0 into 0 49.520 * [backup-simplify]: Simplify 0 into 0 49.520 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 49.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 49.521 * [taylor]: Taking taylor expansion of 0 in J 49.521 * [backup-simplify]: Simplify 0 into 0 49.521 * [backup-simplify]: Simplify 0 into 0 49.521 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 49.521 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 49.522 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.526 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.526 * [backup-simplify]: Simplify (- 0) into 0 49.526 * [backup-simplify]: Simplify (+ 0 0) into 0 49.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 49.528 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 49.528 * [backup-simplify]: 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 49.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 49.530 * [backup-simplify]: Simplify (+ 1 0) into 1 49.530 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 49.530 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 49.530 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.530 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.530 * [taylor]: Taking taylor expansion of -1/2 in K 49.531 * [backup-simplify]: Simplify -1/2 into -1/2 49.531 * [taylor]: Taking taylor expansion of K in K 49.531 * [backup-simplify]: Simplify 0 into 0 49.531 * [backup-simplify]: Simplify 1 into 1 49.531 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.531 * [taylor]: Taking taylor expansion of J in K 49.531 * [backup-simplify]: Simplify J into J 49.531 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 49.531 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 49.531 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.531 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.531 * [taylor]: Taking taylor expansion of -1/2 in J 49.531 * [backup-simplify]: Simplify -1/2 into -1/2 49.531 * [taylor]: Taking taylor expansion of K in J 49.531 * [backup-simplify]: Simplify K into K 49.531 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.532 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.532 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.532 * [taylor]: Taking taylor expansion of J in J 49.532 * [backup-simplify]: Simplify 0 into 0 49.532 * [backup-simplify]: Simplify 1 into 1 49.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.532 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.532 * [backup-simplify]: Simplify (- 0) into 0 49.532 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.532 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.533 * [backup-simplify]: Simplify (+ 0) into 0 49.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.535 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.535 * [backup-simplify]: Simplify (- 0) into 0 49.535 * [backup-simplify]: Simplify (+ 0 0) into 0 49.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 49.536 * [backup-simplify]: Simplify 0 into 0 49.536 * [taylor]: Taking taylor expansion of 0 in J 49.536 * [backup-simplify]: Simplify 0 into 0 49.536 * [backup-simplify]: Simplify 0 into 0 49.537 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 49.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 49.538 * [taylor]: Taking taylor expansion of 0 in J 49.538 * [backup-simplify]: Simplify 0 into 0 49.538 * [backup-simplify]: Simplify 0 into 0 49.538 * [backup-simplify]: Simplify 0 into 0 49.538 * [backup-simplify]: Simplify 0 into 0 49.538 * [backup-simplify]: Simplify (+ 0) into 0 49.538 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.539 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.540 * [backup-simplify]: Simplify (- 0) into 0 49.541 * [backup-simplify]: Simplify (+ 0 0) into 0 49.541 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 49.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 49.542 * [backup-simplify]: Simplify 0 into 0 49.542 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 49.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 49.542 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 49.542 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 49.542 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 49.543 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 49.543 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 49.543 * [taylor]: Taking taylor expansion of 1/4 in J 49.543 * [backup-simplify]: Simplify 1/4 into 1/4 49.543 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 49.543 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.543 * [taylor]: Taking taylor expansion of U in J 49.543 * [backup-simplify]: Simplify U into U 49.543 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 49.543 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 49.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.543 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.543 * [taylor]: Taking taylor expansion of 1/2 in J 49.543 * [backup-simplify]: Simplify 1/2 into 1/2 49.543 * [taylor]: Taking taylor expansion of K in J 49.543 * [backup-simplify]: Simplify K into K 49.543 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.543 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.543 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.543 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.543 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.544 * [backup-simplify]: Simplify (- 0) into 0 49.544 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.544 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.544 * [taylor]: Taking taylor expansion of J in J 49.544 * [backup-simplify]: Simplify 0 into 0 49.544 * [backup-simplify]: Simplify 1 into 1 49.544 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.544 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.545 * [backup-simplify]: Simplify (* 1 1) into 1 49.545 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 49.545 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 49.545 * [taylor]: Taking taylor expansion of 1 in J 49.545 * [backup-simplify]: Simplify 1 into 1 49.545 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.545 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.546 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 49.546 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.547 * [backup-simplify]: Simplify (+ 0) into 0 49.547 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.549 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.549 * [backup-simplify]: Simplify (- 0) into 0 49.549 * [backup-simplify]: Simplify (+ 0 0) into 0 49.550 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.550 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 49.551 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 49.551 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 49.552 * [backup-simplify]: Simplify (+ 0 0) into 0 49.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 49.552 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 49.552 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 49.552 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 49.552 * [taylor]: Taking taylor expansion of 1/4 in K 49.552 * [backup-simplify]: Simplify 1/4 into 1/4 49.552 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.552 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.552 * [taylor]: Taking taylor expansion of U in K 49.552 * [backup-simplify]: Simplify U into U 49.552 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.552 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.552 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.552 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.552 * [taylor]: Taking taylor expansion of 1/2 in K 49.552 * [backup-simplify]: Simplify 1/2 into 1/2 49.552 * [taylor]: Taking taylor expansion of K in K 49.552 * [backup-simplify]: Simplify 0 into 0 49.552 * [backup-simplify]: Simplify 1 into 1 49.553 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.553 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.553 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.553 * [taylor]: Taking taylor expansion of J in K 49.554 * [backup-simplify]: Simplify J into J 49.554 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.554 * [backup-simplify]: Simplify (* 1 1) into 1 49.554 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.554 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.554 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 49.554 * [taylor]: Taking taylor expansion of 1 in K 49.554 * [backup-simplify]: Simplify 1 into 1 49.554 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 49.555 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 49.555 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 49.555 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.555 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.555 * [backup-simplify]: Simplify (+ 0) into 0 49.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.557 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 49.558 * [backup-simplify]: Simplify (+ 0 0) into 0 49.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 49.558 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.558 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.558 * [taylor]: Taking taylor expansion of 1/4 in U 49.558 * [backup-simplify]: Simplify 1/4 into 1/4 49.558 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.558 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.558 * [taylor]: Taking taylor expansion of U in U 49.558 * [backup-simplify]: Simplify 0 into 0 49.558 * [backup-simplify]: Simplify 1 into 1 49.558 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.558 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.558 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.558 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.558 * [taylor]: Taking taylor expansion of 1/2 in U 49.558 * [backup-simplify]: Simplify 1/2 into 1/2 49.559 * [taylor]: Taking taylor expansion of K in U 49.559 * [backup-simplify]: Simplify K into K 49.559 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.559 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.559 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.559 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.559 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.559 * [backup-simplify]: Simplify (- 0) into 0 49.559 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.559 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.559 * [taylor]: Taking taylor expansion of J in U 49.559 * [backup-simplify]: Simplify J into J 49.560 * [backup-simplify]: Simplify (* 1 1) into 1 49.560 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.560 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.560 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.560 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.560 * [taylor]: Taking taylor expansion of 1 in U 49.561 * [backup-simplify]: Simplify 1 into 1 49.561 * [backup-simplify]: Simplify (+ 0 1) into 1 49.561 * [backup-simplify]: Simplify (sqrt 1) into 1 49.562 * [backup-simplify]: Simplify (+ 0 0) into 0 49.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.563 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.563 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.563 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.563 * [taylor]: Taking taylor expansion of 1/4 in U 49.563 * [backup-simplify]: Simplify 1/4 into 1/4 49.563 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.563 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.563 * [taylor]: Taking taylor expansion of U in U 49.563 * [backup-simplify]: Simplify 0 into 0 49.563 * [backup-simplify]: Simplify 1 into 1 49.563 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.563 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.563 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.563 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.563 * [taylor]: Taking taylor expansion of 1/2 in U 49.563 * [backup-simplify]: Simplify 1/2 into 1/2 49.563 * [taylor]: Taking taylor expansion of K in U 49.563 * [backup-simplify]: Simplify K into K 49.563 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.563 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.563 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.564 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.564 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.564 * [backup-simplify]: Simplify (- 0) into 0 49.564 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.564 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.564 * [taylor]: Taking taylor expansion of J in U 49.564 * [backup-simplify]: Simplify J into J 49.565 * [backup-simplify]: Simplify (* 1 1) into 1 49.565 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.565 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.565 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.565 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.565 * [taylor]: Taking taylor expansion of 1 in U 49.565 * [backup-simplify]: Simplify 1 into 1 49.566 * [backup-simplify]: Simplify (+ 0 1) into 1 49.566 * [backup-simplify]: Simplify (sqrt 1) into 1 49.566 * [backup-simplify]: Simplify (+ 0 0) into 0 49.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.567 * [taylor]: Taking taylor expansion of 1 in K 49.567 * [backup-simplify]: Simplify 1 into 1 49.567 * [taylor]: Taking taylor expansion of 1 in J 49.567 * [backup-simplify]: Simplify 1 into 1 49.567 * [taylor]: Taking taylor expansion of 0 in K 49.567 * [backup-simplify]: Simplify 0 into 0 49.567 * [taylor]: Taking taylor expansion of 0 in J 49.567 * [backup-simplify]: Simplify 0 into 0 49.568 * [taylor]: Taking taylor expansion of 0 in J 49.568 * [backup-simplify]: Simplify 0 into 0 49.568 * [backup-simplify]: Simplify 1 into 1 49.568 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.568 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 49.569 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.570 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.570 * [taylor]: Taking taylor expansion of 1/8 in K 49.570 * [backup-simplify]: Simplify 1/8 into 1/8 49.570 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.570 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.570 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.570 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.570 * [taylor]: Taking taylor expansion of 1/2 in K 49.570 * [backup-simplify]: Simplify 1/2 into 1/2 49.570 * [taylor]: Taking taylor expansion of K in K 49.570 * [backup-simplify]: Simplify 0 into 0 49.570 * [backup-simplify]: Simplify 1 into 1 49.570 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.571 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.571 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.571 * [taylor]: Taking taylor expansion of J in K 49.571 * [backup-simplify]: Simplify J into J 49.572 * [backup-simplify]: Simplify (* 1 1) into 1 49.572 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.572 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.572 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 49.572 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 49.572 * [taylor]: Taking taylor expansion of 1/8 in J 49.572 * [backup-simplify]: Simplify 1/8 into 1/8 49.572 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.572 * [taylor]: Taking taylor expansion of J in J 49.572 * [backup-simplify]: Simplify 0 into 0 49.572 * [backup-simplify]: Simplify 1 into 1 49.572 * [backup-simplify]: Simplify (* 1 1) into 1 49.573 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 49.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 49.575 * [backup-simplify]: Simplify 0 into 0 49.575 * [taylor]: Taking taylor expansion of 0 in J 49.575 * [backup-simplify]: Simplify 0 into 0 49.575 * [taylor]: Taking taylor expansion of 0 in J 49.575 * [backup-simplify]: Simplify 0 into 0 49.575 * [backup-simplify]: Simplify 0 into 0 49.575 * [backup-simplify]: Simplify 0 into 0 49.575 * [backup-simplify]: Simplify 0 into 0 49.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.576 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.576 * [backup-simplify]: Simplify (+ 0) into 0 49.577 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.578 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.579 * [backup-simplify]: Simplify (- 0) into 0 49.579 * [backup-simplify]: Simplify (+ 0 0) into 0 49.579 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.579 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 49.580 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 49.581 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 49.581 * [backup-simplify]: Simplify (+ 0 0) into 0 49.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 49.582 * [taylor]: Taking taylor expansion of 0 in K 49.582 * [backup-simplify]: Simplify 0 into 0 49.582 * [taylor]: Taking taylor expansion of 0 in J 49.582 * [backup-simplify]: Simplify 0 into 0 49.582 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.582 * [backup-simplify]: Simplify (+ 0) into 0 49.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.584 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 49.584 * [taylor]: Taking taylor expansion of 0 in J 49.584 * [backup-simplify]: Simplify 0 into 0 49.584 * [taylor]: Taking taylor expansion of 0 in J 49.584 * [backup-simplify]: Simplify 0 into 0 49.584 * [taylor]: Taking taylor expansion of 0 in J 49.584 * [backup-simplify]: Simplify 0 into 0 49.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.587 * [backup-simplify]: Simplify 0 into 0 49.587 * [backup-simplify]: Simplify 0 into 0 49.587 * [backup-simplify]: Simplify 1 into 1 49.588 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.588 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 49.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 49.588 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 49.588 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 49.588 * [taylor]: Taking taylor expansion of 1/4 in J 49.588 * [backup-simplify]: Simplify 1/4 into 1/4 49.588 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 49.588 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.588 * [taylor]: Taking taylor expansion of J in J 49.588 * [backup-simplify]: Simplify 0 into 0 49.588 * [backup-simplify]: Simplify 1 into 1 49.588 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 49.588 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.588 * [taylor]: Taking taylor expansion of U in J 49.588 * [backup-simplify]: Simplify U into U 49.588 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 49.588 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.588 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.588 * [taylor]: Taking taylor expansion of 1/2 in J 49.588 * [backup-simplify]: Simplify 1/2 into 1/2 49.588 * [taylor]: Taking taylor expansion of K in J 49.588 * [backup-simplify]: Simplify K into K 49.588 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.588 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.589 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.589 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.589 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.589 * [backup-simplify]: Simplify (- 0) into 0 49.589 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.590 * [backup-simplify]: Simplify (* 1 1) into 1 49.590 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.590 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.590 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.590 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.590 * [taylor]: Taking taylor expansion of 1 in J 49.590 * [backup-simplify]: Simplify 1 into 1 49.591 * [backup-simplify]: Simplify (+ 0 1) into 1 49.591 * [backup-simplify]: Simplify (sqrt 1) into 1 49.592 * [backup-simplify]: Simplify (+ 0 0) into 0 49.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.592 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 49.593 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 49.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 49.593 * [taylor]: Taking taylor expansion of 1/4 in K 49.593 * [backup-simplify]: Simplify 1/4 into 1/4 49.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 49.593 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.593 * [taylor]: Taking taylor expansion of J in K 49.593 * [backup-simplify]: Simplify J into J 49.593 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 49.593 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.593 * [taylor]: Taking taylor expansion of U in K 49.593 * [backup-simplify]: Simplify U into U 49.593 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 49.593 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.593 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.593 * [taylor]: Taking taylor expansion of 1/2 in K 49.593 * [backup-simplify]: Simplify 1/2 into 1/2 49.593 * [taylor]: Taking taylor expansion of K in K 49.593 * [backup-simplify]: Simplify 0 into 0 49.593 * [backup-simplify]: Simplify 1 into 1 49.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.594 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.594 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.594 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.594 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.594 * [taylor]: Taking taylor expansion of 1 in K 49.594 * [backup-simplify]: Simplify 1 into 1 49.594 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 49.595 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 49.595 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.595 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.596 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.596 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.596 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.598 * [backup-simplify]: Simplify (+ 0 0) into 0 49.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 49.598 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.598 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.598 * [taylor]: Taking taylor expansion of 1/4 in U 49.598 * [backup-simplify]: Simplify 1/4 into 1/4 49.598 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.598 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.598 * [taylor]: Taking taylor expansion of J in U 49.598 * [backup-simplify]: Simplify J into J 49.598 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.598 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.598 * [taylor]: Taking taylor expansion of U in U 49.598 * [backup-simplify]: Simplify 0 into 0 49.598 * [backup-simplify]: Simplify 1 into 1 49.598 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.598 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.599 * [taylor]: Taking taylor expansion of 1/2 in U 49.599 * [backup-simplify]: Simplify 1/2 into 1/2 49.599 * [taylor]: Taking taylor expansion of K in U 49.599 * [backup-simplify]: Simplify K into K 49.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.599 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.599 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.599 * [backup-simplify]: Simplify (- 0) into 0 49.600 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.600 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.600 * [backup-simplify]: Simplify (* 1 1) into 1 49.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.600 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.600 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.600 * [taylor]: Taking taylor expansion of 1 in U 49.600 * [backup-simplify]: Simplify 1 into 1 49.601 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.601 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.601 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.602 * [backup-simplify]: Simplify (+ 0) into 0 49.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.603 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.604 * [backup-simplify]: Simplify (- 0) into 0 49.604 * [backup-simplify]: Simplify (+ 0 0) into 0 49.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.606 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.607 * [backup-simplify]: Simplify (+ 0 0) into 0 49.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.607 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.607 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.607 * [taylor]: Taking taylor expansion of 1/4 in U 49.607 * [backup-simplify]: Simplify 1/4 into 1/4 49.607 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.607 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.607 * [taylor]: Taking taylor expansion of J in U 49.607 * [backup-simplify]: Simplify J into J 49.607 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.607 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.607 * [taylor]: Taking taylor expansion of U in U 49.608 * [backup-simplify]: Simplify 0 into 0 49.608 * [backup-simplify]: Simplify 1 into 1 49.608 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.608 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.608 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.608 * [taylor]: Taking taylor expansion of 1/2 in U 49.608 * [backup-simplify]: Simplify 1/2 into 1/2 49.608 * [taylor]: Taking taylor expansion of K in U 49.608 * [backup-simplify]: Simplify K into K 49.608 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.608 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.608 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.608 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.608 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.608 * [backup-simplify]: Simplify (- 0) into 0 49.609 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.609 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.609 * [backup-simplify]: Simplify (* 1 1) into 1 49.609 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.609 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.609 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.609 * [taylor]: Taking taylor expansion of 1 in U 49.610 * [backup-simplify]: Simplify 1 into 1 49.610 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.610 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.610 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.610 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.611 * [backup-simplify]: Simplify (+ 0) into 0 49.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.613 * [backup-simplify]: Simplify (- 0) into 0 49.613 * [backup-simplify]: Simplify (+ 0 0) into 0 49.613 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.615 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.616 * [backup-simplify]: Simplify (+ 0 0) into 0 49.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 49.616 * [taylor]: Taking taylor expansion of 1/2 in K 49.616 * [backup-simplify]: Simplify 1/2 into 1/2 49.616 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 49.616 * [taylor]: Taking taylor expansion of J in K 49.616 * [backup-simplify]: Simplify J into J 49.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.617 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.617 * [taylor]: Taking taylor expansion of 1/2 in K 49.617 * [backup-simplify]: Simplify 1/2 into 1/2 49.617 * [taylor]: Taking taylor expansion of K in K 49.617 * [backup-simplify]: Simplify 0 into 0 49.617 * [backup-simplify]: Simplify 1 into 1 49.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.617 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.617 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 49.617 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 49.617 * [taylor]: Taking taylor expansion of 1/2 in J 49.617 * [backup-simplify]: Simplify 1/2 into 1/2 49.618 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 49.618 * [taylor]: Taking taylor expansion of J in J 49.618 * [backup-simplify]: Simplify 0 into 0 49.618 * [backup-simplify]: Simplify 1 into 1 49.618 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.618 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.618 * [taylor]: Taking taylor expansion of 1/2 in J 49.618 * [backup-simplify]: Simplify 1/2 into 1/2 49.618 * [taylor]: Taking taylor expansion of K in J 49.618 * [backup-simplify]: Simplify K into K 49.618 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.618 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.618 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.618 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.618 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.619 * [backup-simplify]: Simplify (- 0) into 0 49.619 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.619 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 49.619 * [taylor]: Taking taylor expansion of 0 in K 49.619 * [backup-simplify]: Simplify 0 into 0 49.619 * [taylor]: Taking taylor expansion of 0 in J 49.619 * [backup-simplify]: Simplify 0 into 0 49.619 * [backup-simplify]: Simplify 0 into 0 49.619 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 49.620 * [taylor]: Taking taylor expansion of 0 in J 49.620 * [backup-simplify]: Simplify 0 into 0 49.620 * [backup-simplify]: Simplify 0 into 0 49.620 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 49.620 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 49.621 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.623 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.624 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.624 * [backup-simplify]: Simplify (- 0) into 0 49.625 * [backup-simplify]: Simplify (+ 0 0) into 0 49.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 49.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 49.628 * [backup-simplify]: 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 49.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.629 * [backup-simplify]: Simplify (+ 0 1) into 1 49.634 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 49.634 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 49.634 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.634 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.634 * [taylor]: Taking taylor expansion of 1/2 in K 49.634 * [backup-simplify]: Simplify 1/2 into 1/2 49.634 * [taylor]: Taking taylor expansion of K in K 49.634 * [backup-simplify]: Simplify 0 into 0 49.634 * [backup-simplify]: Simplify 1 into 1 49.635 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.635 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.635 * [taylor]: Taking taylor expansion of J in K 49.635 * [backup-simplify]: Simplify J into J 49.635 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.635 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 49.635 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.636 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.636 * [taylor]: Taking taylor expansion of 1/2 in J 49.636 * [backup-simplify]: Simplify 1/2 into 1/2 49.636 * [taylor]: Taking taylor expansion of K in J 49.636 * [backup-simplify]: Simplify K into K 49.636 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.636 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.636 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.636 * [taylor]: Taking taylor expansion of J in J 49.636 * [backup-simplify]: Simplify 0 into 0 49.636 * [backup-simplify]: Simplify 1 into 1 49.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.636 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.636 * [backup-simplify]: Simplify (- 0) into 0 49.637 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.637 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.637 * [backup-simplify]: Simplify (+ 0) into 0 49.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.639 * [backup-simplify]: Simplify (- 0) into 0 49.640 * [backup-simplify]: Simplify (+ 0 0) into 0 49.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 49.641 * [backup-simplify]: Simplify 0 into 0 49.641 * [taylor]: Taking taylor expansion of 0 in J 49.641 * [backup-simplify]: Simplify 0 into 0 49.641 * [backup-simplify]: Simplify 0 into 0 49.641 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 49.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 49.642 * [taylor]: Taking taylor expansion of 0 in J 49.642 * [backup-simplify]: Simplify 0 into 0 49.642 * [backup-simplify]: Simplify 0 into 0 49.642 * [backup-simplify]: Simplify 0 into 0 49.642 * [backup-simplify]: Simplify 0 into 0 49.643 * [backup-simplify]: Simplify (+ 0) into 0 49.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.644 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.645 * [backup-simplify]: Simplify (- 0) into 0 49.645 * [backup-simplify]: Simplify (+ 0 0) into 0 49.646 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 49.646 * [backup-simplify]: Simplify 0 into 0 49.646 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 49.647 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 49.647 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 49.647 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 49.647 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 49.647 * [taylor]: Taking taylor expansion of 1 in J 49.647 * [backup-simplify]: Simplify 1 into 1 49.647 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 49.647 * [taylor]: Taking taylor expansion of 1/4 in J 49.647 * [backup-simplify]: Simplify 1/4 into 1/4 49.647 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 49.647 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.647 * [taylor]: Taking taylor expansion of J in J 49.647 * [backup-simplify]: Simplify 0 into 0 49.648 * [backup-simplify]: Simplify 1 into 1 49.648 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 49.648 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 49.648 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.648 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.648 * [taylor]: Taking taylor expansion of -1/2 in J 49.648 * [backup-simplify]: Simplify -1/2 into -1/2 49.648 * [taylor]: Taking taylor expansion of K in J 49.648 * [backup-simplify]: Simplify K into K 49.648 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.648 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.648 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.648 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.648 * [backup-simplify]: Simplify (- 0) into 0 49.649 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.649 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.649 * [taylor]: Taking taylor expansion of U in J 49.649 * [backup-simplify]: Simplify U into U 49.649 * [backup-simplify]: Simplify (* 1 1) into 1 49.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.649 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.649 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.650 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 49.650 * [backup-simplify]: Simplify (+ 1 0) into 1 49.650 * [backup-simplify]: Simplify (sqrt 1) into 1 49.651 * [backup-simplify]: Simplify (+ 0 0) into 0 49.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.651 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 49.651 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 49.651 * [taylor]: Taking taylor expansion of 1 in K 49.652 * [backup-simplify]: Simplify 1 into 1 49.652 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 49.652 * [taylor]: Taking taylor expansion of 1/4 in K 49.652 * [backup-simplify]: Simplify 1/4 into 1/4 49.652 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 49.652 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.652 * [taylor]: Taking taylor expansion of J in K 49.652 * [backup-simplify]: Simplify J into J 49.652 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 49.652 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 49.652 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.652 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.652 * [taylor]: Taking taylor expansion of -1/2 in K 49.652 * [backup-simplify]: Simplify -1/2 into -1/2 49.652 * [taylor]: Taking taylor expansion of K in K 49.652 * [backup-simplify]: Simplify 0 into 0 49.652 * [backup-simplify]: Simplify 1 into 1 49.652 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.652 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.652 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.653 * [taylor]: Taking taylor expansion of U in K 49.653 * [backup-simplify]: Simplify U into U 49.653 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.653 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.653 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.653 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.653 * [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))) 49.653 * [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)))) 49.654 * [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))))) 49.654 * [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)))))) 49.654 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.654 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.655 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 49.655 * [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 49.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 49.656 * [backup-simplify]: Simplify (+ 0 0) into 0 49.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 49.657 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.657 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.657 * [taylor]: Taking taylor expansion of 1 in U 49.657 * [backup-simplify]: Simplify 1 into 1 49.657 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.657 * [taylor]: Taking taylor expansion of 1/4 in U 49.657 * [backup-simplify]: Simplify 1/4 into 1/4 49.657 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.657 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.657 * [taylor]: Taking taylor expansion of J in U 49.657 * [backup-simplify]: Simplify J into J 49.657 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.657 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.657 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.657 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.657 * [taylor]: Taking taylor expansion of -1/2 in U 49.657 * [backup-simplify]: Simplify -1/2 into -1/2 49.657 * [taylor]: Taking taylor expansion of K in U 49.657 * [backup-simplify]: Simplify K into K 49.657 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.658 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.658 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.658 * [backup-simplify]: Simplify (- 0) into 0 49.658 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.658 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.658 * [taylor]: Taking taylor expansion of U in U 49.658 * [backup-simplify]: Simplify 0 into 0 49.658 * [backup-simplify]: Simplify 1 into 1 49.658 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.659 * [backup-simplify]: Simplify (* 1 1) into 1 49.659 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.659 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.659 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.660 * [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))) 49.660 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.660 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.661 * [backup-simplify]: Simplify (+ 0) into 0 49.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.662 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.663 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.663 * [backup-simplify]: Simplify (- 0) into 0 49.664 * [backup-simplify]: Simplify (+ 0 0) into 0 49.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.664 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.665 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.666 * [backup-simplify]: Simplify (+ 0 0) into 0 49.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.666 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.666 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.666 * [taylor]: Taking taylor expansion of 1 in U 49.666 * [backup-simplify]: Simplify 1 into 1 49.666 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.666 * [taylor]: Taking taylor expansion of 1/4 in U 49.666 * [backup-simplify]: Simplify 1/4 into 1/4 49.666 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.666 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.666 * [taylor]: Taking taylor expansion of J in U 49.666 * [backup-simplify]: Simplify J into J 49.666 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.666 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.666 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.666 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.666 * [taylor]: Taking taylor expansion of -1/2 in U 49.666 * [backup-simplify]: Simplify -1/2 into -1/2 49.666 * [taylor]: Taking taylor expansion of K in U 49.666 * [backup-simplify]: Simplify K into K 49.667 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.667 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.667 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.667 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.667 * [backup-simplify]: Simplify (- 0) into 0 49.667 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.667 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.667 * [taylor]: Taking taylor expansion of U in U 49.667 * [backup-simplify]: Simplify 0 into 0 49.667 * [backup-simplify]: Simplify 1 into 1 49.667 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.668 * [backup-simplify]: Simplify (* 1 1) into 1 49.668 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.668 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.668 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.669 * [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))) 49.669 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.669 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.670 * [backup-simplify]: Simplify (+ 0) into 0 49.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.671 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.672 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.672 * [backup-simplify]: Simplify (- 0) into 0 49.673 * [backup-simplify]: Simplify (+ 0 0) into 0 49.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.673 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.674 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.674 * [backup-simplify]: Simplify (+ 0 0) into 0 49.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 49.675 * [taylor]: Taking taylor expansion of 1/2 in K 49.675 * [backup-simplify]: Simplify 1/2 into 1/2 49.675 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 49.675 * [taylor]: Taking taylor expansion of J in K 49.675 * [backup-simplify]: Simplify J into J 49.675 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.675 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.675 * [taylor]: Taking taylor expansion of -1/2 in K 49.675 * [backup-simplify]: Simplify -1/2 into -1/2 49.675 * [taylor]: Taking taylor expansion of K in K 49.675 * [backup-simplify]: Simplify 0 into 0 49.675 * [backup-simplify]: Simplify 1 into 1 49.675 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.676 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.676 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 49.676 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 49.676 * [taylor]: Taking taylor expansion of 1/2 in J 49.676 * [backup-simplify]: Simplify 1/2 into 1/2 49.676 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 49.676 * [taylor]: Taking taylor expansion of J in J 49.676 * [backup-simplify]: Simplify 0 into 0 49.676 * [backup-simplify]: Simplify 1 into 1 49.676 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.676 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.676 * [taylor]: Taking taylor expansion of -1/2 in J 49.676 * [backup-simplify]: Simplify -1/2 into -1/2 49.676 * [taylor]: Taking taylor expansion of K in J 49.676 * [backup-simplify]: Simplify K into K 49.676 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.676 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.676 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.677 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.677 * [backup-simplify]: Simplify (- 0) into 0 49.677 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.677 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 49.677 * [taylor]: Taking taylor expansion of 0 in K 49.677 * [backup-simplify]: Simplify 0 into 0 49.677 * [taylor]: Taking taylor expansion of 0 in J 49.677 * [backup-simplify]: Simplify 0 into 0 49.677 * [backup-simplify]: Simplify 0 into 0 49.677 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 49.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 49.678 * [taylor]: Taking taylor expansion of 0 in J 49.678 * [backup-simplify]: Simplify 0 into 0 49.678 * [backup-simplify]: Simplify 0 into 0 49.678 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 49.678 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 49.679 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.681 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.683 * [backup-simplify]: Simplify (- 0) into 0 49.683 * [backup-simplify]: Simplify (+ 0 0) into 0 49.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 49.685 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 49.685 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 49.686 * [backup-simplify]: Simplify (+ 1 0) into 1 49.687 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 49.687 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 49.687 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.687 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.687 * [taylor]: Taking taylor expansion of -1/2 in K 49.687 * [backup-simplify]: Simplify -1/2 into -1/2 49.687 * [taylor]: Taking taylor expansion of K in K 49.687 * [backup-simplify]: Simplify 0 into 0 49.688 * [backup-simplify]: Simplify 1 into 1 49.688 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.688 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.688 * [taylor]: Taking taylor expansion of J in K 49.688 * [backup-simplify]: Simplify J into J 49.688 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 49.688 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 49.688 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.688 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.688 * [taylor]: Taking taylor expansion of -1/2 in J 49.688 * [backup-simplify]: Simplify -1/2 into -1/2 49.688 * [taylor]: Taking taylor expansion of K in J 49.688 * [backup-simplify]: Simplify K into K 49.688 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.688 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.689 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.689 * [taylor]: Taking taylor expansion of J in J 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 1 into 1 49.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.689 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.689 * [backup-simplify]: Simplify (- 0) into 0 49.689 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.689 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.690 * [backup-simplify]: Simplify (+ 0) into 0 49.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.692 * [backup-simplify]: Simplify (- 0) into 0 49.692 * [backup-simplify]: Simplify (+ 0 0) into 0 49.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 49.693 * [backup-simplify]: Simplify 0 into 0 49.693 * [taylor]: Taking taylor expansion of 0 in J 49.693 * [backup-simplify]: Simplify 0 into 0 49.693 * [backup-simplify]: Simplify 0 into 0 49.693 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 49.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 49.694 * [taylor]: Taking taylor expansion of 0 in J 49.694 * [backup-simplify]: Simplify 0 into 0 49.694 * [backup-simplify]: Simplify 0 into 0 49.694 * [backup-simplify]: Simplify 0 into 0 49.695 * [backup-simplify]: Simplify 0 into 0 49.695 * [backup-simplify]: Simplify (+ 0) into 0 49.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.697 * [backup-simplify]: Simplify (- 0) into 0 49.698 * [backup-simplify]: Simplify (+ 0 0) into 0 49.698 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 49.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 49.698 * [backup-simplify]: Simplify 0 into 0 49.699 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 49.699 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 49.699 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 49.699 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 49.700 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 49.700 * [taylor]: Taking taylor expansion of -2 in J 49.700 * [backup-simplify]: Simplify -2 into -2 49.700 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 49.700 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 49.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.700 * [taylor]: Taking taylor expansion of 1/2 in J 49.700 * [backup-simplify]: Simplify 1/2 into 1/2 49.700 * [taylor]: Taking taylor expansion of K in J 49.700 * [backup-simplify]: Simplify K into K 49.700 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.700 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.700 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.700 * [taylor]: Taking taylor expansion of J in J 49.700 * [backup-simplify]: Simplify 0 into 0 49.700 * [backup-simplify]: Simplify 1 into 1 49.700 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 49.700 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 49.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 49.700 * [taylor]: Taking taylor expansion of 1/4 in J 49.700 * [backup-simplify]: Simplify 1/4 into 1/4 49.700 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 49.700 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.700 * [taylor]: Taking taylor expansion of U in J 49.700 * [backup-simplify]: Simplify U into U 49.700 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 49.700 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 49.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.700 * [taylor]: Taking taylor expansion of 1/2 in J 49.701 * [backup-simplify]: Simplify 1/2 into 1/2 49.701 * [taylor]: Taking taylor expansion of K in J 49.701 * [backup-simplify]: Simplify K into K 49.701 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.701 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.701 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.701 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.701 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.702 * [backup-simplify]: Simplify (- 0) into 0 49.702 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.702 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.702 * [taylor]: Taking taylor expansion of J in J 49.702 * [backup-simplify]: Simplify 0 into 0 49.702 * [backup-simplify]: Simplify 1 into 1 49.702 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.702 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.702 * [backup-simplify]: Simplify (* 1 1) into 1 49.702 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 49.703 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 49.703 * [taylor]: Taking taylor expansion of 1 in J 49.703 * [backup-simplify]: Simplify 1 into 1 49.703 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.703 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.703 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 49.703 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.704 * [backup-simplify]: Simplify (+ 0) into 0 49.704 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.705 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.705 * [backup-simplify]: Simplify (- 0) into 0 49.705 * [backup-simplify]: Simplify (+ 0 0) into 0 49.706 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.706 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 49.706 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 49.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 49.707 * [backup-simplify]: Simplify (+ 0 0) into 0 49.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 49.707 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 49.707 * [taylor]: Taking taylor expansion of -2 in K 49.707 * [backup-simplify]: Simplify -2 into -2 49.707 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 49.707 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 49.707 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.707 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.707 * [taylor]: Taking taylor expansion of 1/2 in K 49.707 * [backup-simplify]: Simplify 1/2 into 1/2 49.707 * [taylor]: Taking taylor expansion of K in K 49.707 * [backup-simplify]: Simplify 0 into 0 49.707 * [backup-simplify]: Simplify 1 into 1 49.707 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.708 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.708 * [taylor]: Taking taylor expansion of J in K 49.708 * [backup-simplify]: Simplify J into J 49.708 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 49.708 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 49.708 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 49.708 * [taylor]: Taking taylor expansion of 1/4 in K 49.708 * [backup-simplify]: Simplify 1/4 into 1/4 49.708 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.708 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.708 * [taylor]: Taking taylor expansion of U in K 49.708 * [backup-simplify]: Simplify U into U 49.708 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.708 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.708 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.708 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.708 * [taylor]: Taking taylor expansion of 1/2 in K 49.708 * [backup-simplify]: Simplify 1/2 into 1/2 49.708 * [taylor]: Taking taylor expansion of K in K 49.708 * [backup-simplify]: Simplify 0 into 0 49.708 * [backup-simplify]: Simplify 1 into 1 49.708 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.709 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.709 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.709 * [taylor]: Taking taylor expansion of J in K 49.709 * [backup-simplify]: Simplify J into J 49.709 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.709 * [backup-simplify]: Simplify (* 1 1) into 1 49.709 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.709 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.709 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 49.709 * [taylor]: Taking taylor expansion of 1 in K 49.709 * [backup-simplify]: Simplify 1 into 1 49.709 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 49.709 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 49.710 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 49.710 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.710 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.710 * [backup-simplify]: Simplify (+ 0) into 0 49.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.711 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.711 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 49.711 * [backup-simplify]: Simplify (+ 0 0) into 0 49.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 49.712 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 49.712 * [taylor]: Taking taylor expansion of -2 in U 49.712 * [backup-simplify]: Simplify -2 into -2 49.712 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 49.712 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 49.712 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.712 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.712 * [taylor]: Taking taylor expansion of 1/2 in U 49.712 * [backup-simplify]: Simplify 1/2 into 1/2 49.712 * [taylor]: Taking taylor expansion of K in U 49.712 * [backup-simplify]: Simplify K into K 49.712 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.712 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.712 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.712 * [taylor]: Taking taylor expansion of J in U 49.712 * [backup-simplify]: Simplify J into J 49.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.712 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.712 * [taylor]: Taking taylor expansion of 1/4 in U 49.712 * [backup-simplify]: Simplify 1/4 into 1/4 49.712 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.712 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.712 * [taylor]: Taking taylor expansion of U in U 49.712 * [backup-simplify]: Simplify 0 into 0 49.712 * [backup-simplify]: Simplify 1 into 1 49.712 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.712 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.712 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.712 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.712 * [taylor]: Taking taylor expansion of 1/2 in U 49.712 * [backup-simplify]: Simplify 1/2 into 1/2 49.712 * [taylor]: Taking taylor expansion of K in U 49.712 * [backup-simplify]: Simplify K into K 49.712 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.712 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.712 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.712 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.712 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.713 * [backup-simplify]: Simplify (- 0) into 0 49.713 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.713 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.713 * [taylor]: Taking taylor expansion of J in U 49.713 * [backup-simplify]: Simplify J into J 49.713 * [backup-simplify]: Simplify (* 1 1) into 1 49.713 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.713 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.713 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.713 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.713 * [taylor]: Taking taylor expansion of 1 in U 49.713 * [backup-simplify]: Simplify 1 into 1 49.714 * [backup-simplify]: Simplify (+ 0 1) into 1 49.714 * [backup-simplify]: Simplify (sqrt 1) into 1 49.714 * [backup-simplify]: Simplify (+ 0 0) into 0 49.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.714 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 49.714 * [taylor]: Taking taylor expansion of -2 in U 49.714 * [backup-simplify]: Simplify -2 into -2 49.714 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 49.715 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 49.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.715 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.715 * [taylor]: Taking taylor expansion of 1/2 in U 49.715 * [backup-simplify]: Simplify 1/2 into 1/2 49.715 * [taylor]: Taking taylor expansion of K in U 49.715 * [backup-simplify]: Simplify K into K 49.715 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.715 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.715 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.715 * [taylor]: Taking taylor expansion of J in U 49.715 * [backup-simplify]: Simplify J into J 49.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.715 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.715 * [taylor]: Taking taylor expansion of 1/4 in U 49.715 * [backup-simplify]: Simplify 1/4 into 1/4 49.715 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.715 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.715 * [taylor]: Taking taylor expansion of U in U 49.715 * [backup-simplify]: Simplify 0 into 0 49.715 * [backup-simplify]: Simplify 1 into 1 49.715 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.715 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.715 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.715 * [taylor]: Taking taylor expansion of 1/2 in U 49.715 * [backup-simplify]: Simplify 1/2 into 1/2 49.715 * [taylor]: Taking taylor expansion of K in U 49.715 * [backup-simplify]: Simplify K into K 49.715 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.715 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.715 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.715 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.715 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.715 * [backup-simplify]: Simplify (- 0) into 0 49.715 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.716 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.716 * [taylor]: Taking taylor expansion of J in U 49.716 * [backup-simplify]: Simplify J into J 49.716 * [backup-simplify]: Simplify (* 1 1) into 1 49.716 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.716 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.716 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.716 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.716 * [taylor]: Taking taylor expansion of 1 in U 49.716 * [backup-simplify]: Simplify 1 into 1 49.716 * [backup-simplify]: Simplify (+ 0 1) into 1 49.717 * [backup-simplify]: Simplify (sqrt 1) into 1 49.717 * [backup-simplify]: Simplify (+ 0 0) into 0 49.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.717 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.717 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.718 * [backup-simplify]: Simplify (- 0) into 0 49.718 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.718 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 49.718 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 49.718 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 49.718 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 49.718 * [taylor]: Taking taylor expansion of -2 in K 49.718 * [backup-simplify]: Simplify -2 into -2 49.718 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 49.718 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.718 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.718 * [taylor]: Taking taylor expansion of 1/2 in K 49.718 * [backup-simplify]: Simplify 1/2 into 1/2 49.718 * [taylor]: Taking taylor expansion of K in K 49.718 * [backup-simplify]: Simplify 0 into 0 49.718 * [backup-simplify]: Simplify 1 into 1 49.718 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.719 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.719 * [taylor]: Taking taylor expansion of J in K 49.719 * [backup-simplify]: Simplify J into J 49.719 * [backup-simplify]: Simplify (* 1 J) into J 49.719 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 49.719 * [taylor]: Taking taylor expansion of (* -2 J) in J 49.719 * [taylor]: Taking taylor expansion of -2 in J 49.719 * [backup-simplify]: Simplify -2 into -2 49.719 * [taylor]: Taking taylor expansion of J in J 49.719 * [backup-simplify]: Simplify 0 into 0 49.719 * [backup-simplify]: Simplify 1 into 1 49.719 * [backup-simplify]: Simplify (+ 0) into 0 49.720 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.721 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.721 * [backup-simplify]: Simplify (- 0) into 0 49.721 * [backup-simplify]: Simplify (+ 0 0) into 0 49.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 49.721 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 49.722 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 49.722 * [taylor]: Taking taylor expansion of 0 in K 49.722 * [backup-simplify]: Simplify 0 into 0 49.722 * [taylor]: Taking taylor expansion of 0 in J 49.722 * [backup-simplify]: Simplify 0 into 0 49.722 * [backup-simplify]: Simplify (+ 0) into 0 49.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 49.723 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 49.723 * [taylor]: Taking taylor expansion of 0 in J 49.723 * [backup-simplify]: Simplify 0 into 0 49.723 * [backup-simplify]: Simplify (* -2 0) into 0 49.723 * [backup-simplify]: Simplify 0 into 0 49.723 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.723 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 49.724 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.725 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.725 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 49.726 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.726 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.727 * [backup-simplify]: Simplify (- 0) into 0 49.727 * [backup-simplify]: Simplify (+ 0 0) into 0 49.727 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 49.728 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 49.728 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 49.728 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 49.728 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 49.728 * [taylor]: Taking taylor expansion of 1/4 in K 49.728 * [backup-simplify]: Simplify 1/4 into 1/4 49.728 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 49.728 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 49.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.728 * [taylor]: Taking taylor expansion of 1/2 in K 49.728 * [backup-simplify]: Simplify 1/2 into 1/2 49.728 * [taylor]: Taking taylor expansion of K in K 49.728 * [backup-simplify]: Simplify 0 into 0 49.728 * [backup-simplify]: Simplify 1 into 1 49.729 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.729 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.729 * [taylor]: Taking taylor expansion of J in K 49.729 * [backup-simplify]: Simplify J into J 49.729 * [backup-simplify]: Simplify (* 1 J) into J 49.729 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 49.729 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 49.729 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 49.729 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 49.729 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 49.729 * [taylor]: Taking taylor expansion of 1/4 in J 49.729 * [backup-simplify]: Simplify 1/4 into 1/4 49.729 * [taylor]: Taking taylor expansion of (/ 1 J) in J 49.729 * [taylor]: Taking taylor expansion of J in J 49.729 * [backup-simplify]: Simplify 0 into 0 49.729 * [backup-simplify]: Simplify 1 into 1 49.729 * [backup-simplify]: Simplify (/ 1 1) into 1 49.730 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 49.730 * [backup-simplify]: Simplify (- 1/4) into -1/4 49.730 * [backup-simplify]: Simplify -1/4 into -1/4 49.730 * [taylor]: Taking taylor expansion of 0 in J 49.730 * [backup-simplify]: Simplify 0 into 0 49.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 49.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 49.731 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 49.731 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 49.731 * [taylor]: Taking taylor expansion of 1/4 in J 49.732 * [backup-simplify]: Simplify 1/4 into 1/4 49.732 * [taylor]: Taking taylor expansion of J in J 49.732 * [backup-simplify]: Simplify 0 into 0 49.732 * [backup-simplify]: Simplify 1 into 1 49.732 * [backup-simplify]: Simplify 0 into 0 49.732 * [backup-simplify]: Simplify 0 into 0 49.732 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 49.732 * [backup-simplify]: Simplify -2 into -2 49.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.733 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.733 * [backup-simplify]: Simplify (+ 0) into 0 49.733 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.734 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.735 * [backup-simplify]: Simplify (- 0) into 0 49.735 * [backup-simplify]: Simplify (+ 0 0) into 0 49.735 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.735 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 49.736 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 49.737 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 49.737 * [backup-simplify]: Simplify (+ 0 0) into 0 49.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 49.739 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.740 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 49.742 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.743 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.743 * [backup-simplify]: Simplify (- 0) into 0 49.744 * [backup-simplify]: Simplify (+ 0 0) into 0 49.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 49.745 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 49.746 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 49.746 * [taylor]: Taking taylor expansion of 0 in K 49.746 * [backup-simplify]: Simplify 0 into 0 49.746 * [taylor]: Taking taylor expansion of 0 in J 49.746 * [backup-simplify]: Simplify 0 into 0 49.747 * [backup-simplify]: Simplify (+ 0) into 0 49.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 49.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 49.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 49.748 * [backup-simplify]: Simplify (- 0) into 0 49.748 * [taylor]: Taking taylor expansion of 0 in J 49.748 * [backup-simplify]: Simplify 0 into 0 49.748 * [taylor]: Taking taylor expansion of 0 in J 49.748 * [backup-simplify]: Simplify 0 into 0 49.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 49.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 49.753 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 49.753 * [taylor]: Taking taylor expansion of 0 in J 49.753 * [backup-simplify]: Simplify 0 into 0 49.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.754 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 49.755 * [backup-simplify]: Simplify (- 0) into 0 49.755 * [backup-simplify]: Simplify 0 into 0 49.755 * [backup-simplify]: Simplify 0 into 0 49.755 * [backup-simplify]: Simplify (* 1/4 0) into 0 49.755 * [backup-simplify]: Simplify 0 into 0 49.755 * [backup-simplify]: Simplify 0 into 0 49.755 * [backup-simplify]: Simplify 0 into 0 49.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 49.756 * [backup-simplify]: Simplify 0 into 0 49.757 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 49.758 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 49.758 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 49.758 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 49.758 * [taylor]: Taking taylor expansion of -2 in J 49.758 * [backup-simplify]: Simplify -2 into -2 49.758 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 49.758 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 49.758 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 49.758 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 49.758 * [taylor]: Taking taylor expansion of 1/4 in J 49.758 * [backup-simplify]: Simplify 1/4 into 1/4 49.758 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 49.758 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.758 * [taylor]: Taking taylor expansion of J in J 49.758 * [backup-simplify]: Simplify 0 into 0 49.758 * [backup-simplify]: Simplify 1 into 1 49.758 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 49.758 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.758 * [taylor]: Taking taylor expansion of U in J 49.758 * [backup-simplify]: Simplify U into U 49.758 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 49.758 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.758 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.758 * [taylor]: Taking taylor expansion of 1/2 in J 49.758 * [backup-simplify]: Simplify 1/2 into 1/2 49.758 * [taylor]: Taking taylor expansion of K in J 49.758 * [backup-simplify]: Simplify K into K 49.758 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.758 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.759 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.759 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.759 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.763 * [backup-simplify]: Simplify (- 0) into 0 49.764 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.764 * [backup-simplify]: Simplify (* 1 1) into 1 49.765 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.765 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.765 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.765 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.765 * [taylor]: Taking taylor expansion of 1 in J 49.765 * [backup-simplify]: Simplify 1 into 1 49.766 * [backup-simplify]: Simplify (+ 0 1) into 1 49.766 * [backup-simplify]: Simplify (sqrt 1) into 1 49.766 * [backup-simplify]: Simplify (+ 0 0) into 0 49.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.767 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 49.767 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.767 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.767 * [taylor]: Taking taylor expansion of 1/2 in J 49.767 * [backup-simplify]: Simplify 1/2 into 1/2 49.767 * [taylor]: Taking taylor expansion of K in J 49.767 * [backup-simplify]: Simplify K into K 49.767 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.767 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.767 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.768 * [taylor]: Taking taylor expansion of J in J 49.768 * [backup-simplify]: Simplify 0 into 0 49.768 * [backup-simplify]: Simplify 1 into 1 49.768 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.768 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.768 * [backup-simplify]: Simplify (- 0) into 0 49.768 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.768 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.768 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 49.768 * [taylor]: Taking taylor expansion of -2 in K 49.768 * [backup-simplify]: Simplify -2 into -2 49.768 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 49.768 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 49.768 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 49.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 49.769 * [taylor]: Taking taylor expansion of 1/4 in K 49.769 * [backup-simplify]: Simplify 1/4 into 1/4 49.769 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 49.769 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.769 * [taylor]: Taking taylor expansion of J in K 49.769 * [backup-simplify]: Simplify J into J 49.769 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 49.769 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.769 * [taylor]: Taking taylor expansion of U in K 49.769 * [backup-simplify]: Simplify U into U 49.769 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 49.769 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.769 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.769 * [taylor]: Taking taylor expansion of 1/2 in K 49.769 * [backup-simplify]: Simplify 1/2 into 1/2 49.769 * [taylor]: Taking taylor expansion of K in K 49.769 * [backup-simplify]: Simplify 0 into 0 49.769 * [backup-simplify]: Simplify 1 into 1 49.769 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.770 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.770 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.770 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.770 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.770 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.770 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.770 * [taylor]: Taking taylor expansion of 1 in K 49.770 * [backup-simplify]: Simplify 1 into 1 49.771 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 49.771 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 49.772 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.772 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.772 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.772 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.773 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.774 * [backup-simplify]: Simplify (+ 0 0) into 0 49.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 49.774 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 49.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.774 * [taylor]: Taking taylor expansion of 1/2 in K 49.774 * [backup-simplify]: Simplify 1/2 into 1/2 49.774 * [taylor]: Taking taylor expansion of K in K 49.774 * [backup-simplify]: Simplify 0 into 0 49.774 * [backup-simplify]: Simplify 1 into 1 49.775 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.775 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.775 * [taylor]: Taking taylor expansion of J in K 49.775 * [backup-simplify]: Simplify J into J 49.775 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.775 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 49.775 * [taylor]: Taking taylor expansion of -2 in U 49.775 * [backup-simplify]: Simplify -2 into -2 49.775 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 49.775 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.775 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.775 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.775 * [taylor]: Taking taylor expansion of 1/4 in U 49.775 * [backup-simplify]: Simplify 1/4 into 1/4 49.775 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.775 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.775 * [taylor]: Taking taylor expansion of J in U 49.776 * [backup-simplify]: Simplify J into J 49.776 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.776 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.776 * [taylor]: Taking taylor expansion of U in U 49.776 * [backup-simplify]: Simplify 0 into 0 49.776 * [backup-simplify]: Simplify 1 into 1 49.776 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.776 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.776 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.776 * [taylor]: Taking taylor expansion of 1/2 in U 49.776 * [backup-simplify]: Simplify 1/2 into 1/2 49.776 * [taylor]: Taking taylor expansion of K in U 49.776 * [backup-simplify]: Simplify K into K 49.776 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.776 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.776 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.776 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.776 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.777 * [backup-simplify]: Simplify (- 0) into 0 49.777 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.777 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.777 * [backup-simplify]: Simplify (* 1 1) into 1 49.777 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.777 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.778 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.778 * [taylor]: Taking taylor expansion of 1 in U 49.778 * [backup-simplify]: Simplify 1 into 1 49.778 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.778 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.778 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.778 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.779 * [backup-simplify]: Simplify (+ 0) into 0 49.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.780 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.781 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.781 * [backup-simplify]: Simplify (- 0) into 0 49.782 * [backup-simplify]: Simplify (+ 0 0) into 0 49.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.783 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.784 * [backup-simplify]: Simplify (+ 0 0) into 0 49.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.785 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 49.785 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.785 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.785 * [taylor]: Taking taylor expansion of 1/2 in U 49.785 * [backup-simplify]: Simplify 1/2 into 1/2 49.785 * [taylor]: Taking taylor expansion of K in U 49.785 * [backup-simplify]: Simplify K into K 49.785 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.785 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.785 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.785 * [taylor]: Taking taylor expansion of J in U 49.785 * [backup-simplify]: Simplify J into J 49.785 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.785 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.786 * [backup-simplify]: Simplify (- 0) into 0 49.786 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.786 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.786 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 49.786 * [taylor]: Taking taylor expansion of -2 in U 49.786 * [backup-simplify]: Simplify -2 into -2 49.786 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 49.786 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.786 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.786 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.786 * [taylor]: Taking taylor expansion of 1/4 in U 49.786 * [backup-simplify]: Simplify 1/4 into 1/4 49.786 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.786 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.786 * [taylor]: Taking taylor expansion of J in U 49.786 * [backup-simplify]: Simplify J into J 49.786 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.786 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.786 * [taylor]: Taking taylor expansion of U in U 49.786 * [backup-simplify]: Simplify 0 into 0 49.786 * [backup-simplify]: Simplify 1 into 1 49.786 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.786 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.786 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.786 * [taylor]: Taking taylor expansion of 1/2 in U 49.786 * [backup-simplify]: Simplify 1/2 into 1/2 49.786 * [taylor]: Taking taylor expansion of K in U 49.786 * [backup-simplify]: Simplify K into K 49.786 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.787 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.787 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.787 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.787 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.787 * [backup-simplify]: Simplify (- 0) into 0 49.787 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.787 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.788 * [backup-simplify]: Simplify (* 1 1) into 1 49.788 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.788 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.788 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.788 * [taylor]: Taking taylor expansion of 1 in U 49.788 * [backup-simplify]: Simplify 1 into 1 49.788 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.789 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.789 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.789 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.789 * [backup-simplify]: Simplify (+ 0) into 0 49.790 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.790 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.791 * [backup-simplify]: Simplify (- 0) into 0 49.791 * [backup-simplify]: Simplify (+ 0 0) into 0 49.791 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.793 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.793 * [backup-simplify]: Simplify (+ 0 0) into 0 49.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.793 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 49.793 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.793 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.793 * [taylor]: Taking taylor expansion of 1/2 in U 49.793 * [backup-simplify]: Simplify 1/2 into 1/2 49.793 * [taylor]: Taking taylor expansion of K in U 49.793 * [backup-simplify]: Simplify K into K 49.794 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.794 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.794 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.794 * [taylor]: Taking taylor expansion of J in U 49.794 * [backup-simplify]: Simplify J into J 49.794 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.794 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.794 * [backup-simplify]: Simplify (- 0) into 0 49.794 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.794 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.794 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 49.795 * [backup-simplify]: Simplify (* -2 1/2) into -1 49.795 * [taylor]: Taking taylor expansion of -1 in K 49.795 * [backup-simplify]: Simplify -1 into -1 49.795 * [taylor]: Taking taylor expansion of -1 in J 49.795 * [backup-simplify]: Simplify -1 into -1 49.795 * [backup-simplify]: Simplify (+ 0) into 0 49.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.796 * [backup-simplify]: Simplify (- 0) into 0 49.797 * [backup-simplify]: Simplify (+ 0 0) into 0 49.797 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 49.797 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 49.797 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 49.797 * [taylor]: Taking taylor expansion of 0 in K 49.797 * [backup-simplify]: Simplify 0 into 0 49.797 * [taylor]: Taking taylor expansion of 0 in J 49.797 * [backup-simplify]: Simplify 0 into 0 49.797 * [taylor]: Taking taylor expansion of 0 in J 49.797 * [backup-simplify]: Simplify 0 into 0 49.797 * [backup-simplify]: Simplify -1 into -1 49.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.798 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.799 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.799 * [backup-simplify]: Simplify (- 0) into 0 49.800 * [backup-simplify]: Simplify (+ 0 0) into 0 49.800 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 49.800 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.802 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.802 * [backup-simplify]: Simplify (- 0) into 0 49.802 * [backup-simplify]: Simplify (+ 0 0) into 0 49.803 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 49.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 49.804 * [backup-simplify]: 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 49.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.805 * [backup-simplify]: Simplify (+ 0 1) into 1 49.806 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 49.806 * [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)) 49.807 * [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)))) 49.807 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 49.807 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 49.807 * [taylor]: Taking taylor expansion of 2 in K 49.807 * [backup-simplify]: Simplify 2 into 2 49.807 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 49.807 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 49.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.807 * [taylor]: Taking taylor expansion of 1/2 in K 49.807 * [backup-simplify]: Simplify 1/2 into 1/2 49.807 * [taylor]: Taking taylor expansion of K in K 49.807 * [backup-simplify]: Simplify 0 into 0 49.807 * [backup-simplify]: Simplify 1 into 1 49.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.807 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.807 * [taylor]: Taking taylor expansion of J in K 49.807 * [backup-simplify]: Simplify J into J 49.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.807 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.808 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 49.808 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 49.808 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 49.808 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 49.808 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 49.808 * [taylor]: Taking taylor expansion of 2 in J 49.808 * [backup-simplify]: Simplify 2 into 2 49.808 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 49.808 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 49.808 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.808 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.808 * [taylor]: Taking taylor expansion of 1/2 in J 49.808 * [backup-simplify]: Simplify 1/2 into 1/2 49.808 * [taylor]: Taking taylor expansion of K in J 49.808 * [backup-simplify]: Simplify K into K 49.808 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.808 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.808 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.808 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.809 * [backup-simplify]: Simplify (- 0) into 0 49.809 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.809 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.809 * [taylor]: Taking taylor expansion of J in J 49.809 * [backup-simplify]: Simplify 0 into 0 49.809 * [backup-simplify]: Simplify 1 into 1 49.809 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.809 * [backup-simplify]: Simplify (* 1 1) into 1 49.809 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 49.809 * [backup-simplify]: Simplify (+ 0) into 0 49.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.811 * [backup-simplify]: Simplify (- 0) into 0 49.811 * [backup-simplify]: Simplify (+ 0 0) into 0 49.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 49.813 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.813 * [backup-simplify]: Simplify (- 0) into 0 49.813 * [backup-simplify]: Simplify 0 into 0 49.813 * [taylor]: Taking taylor expansion of 0 in J 49.813 * [backup-simplify]: Simplify 0 into 0 49.813 * [taylor]: Taking taylor expansion of 0 in J 49.813 * [backup-simplify]: Simplify 0 into 0 49.813 * [backup-simplify]: Simplify 0 into 0 49.813 * [backup-simplify]: Simplify 0 into 0 49.813 * [backup-simplify]: Simplify 0 into 0 49.814 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.815 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.817 * [backup-simplify]: Simplify (- 0) into 0 49.818 * [backup-simplify]: Simplify (+ 0 0) into 0 49.818 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 49.819 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 49.819 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.821 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.822 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.823 * [backup-simplify]: Simplify (- 0) into 0 49.824 * [backup-simplify]: Simplify (+ 0 0) into 0 49.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 49.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.828 * [backup-simplify]: 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 49.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.829 * [backup-simplify]: Simplify (+ 0 0) into 0 49.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 49.830 * [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 49.831 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 49.831 * [taylor]: Taking taylor expansion of 0 in K 49.831 * [backup-simplify]: Simplify 0 into 0 49.831 * [taylor]: Taking taylor expansion of 0 in J 49.831 * [backup-simplify]: Simplify 0 into 0 49.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.831 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.831 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.832 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 49.832 * [backup-simplify]: Simplify (- 0) into 0 49.832 * [taylor]: Taking taylor expansion of 0 in J 49.832 * [backup-simplify]: Simplify 0 into 0 49.832 * [taylor]: Taking taylor expansion of 0 in J 49.832 * [backup-simplify]: Simplify 0 into 0 49.832 * [taylor]: Taking taylor expansion of 0 in J 49.832 * [backup-simplify]: Simplify 0 into 0 49.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.833 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.833 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.834 * [backup-simplify]: Simplify (- 0) into 0 49.834 * [backup-simplify]: Simplify (+ 0 0) into 0 49.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 49.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 49.837 * [backup-simplify]: Simplify (- 0) into 0 49.837 * [backup-simplify]: Simplify 0 into 0 49.837 * [backup-simplify]: Simplify 0 into 0 49.837 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 49.837 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 49.837 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 49.837 * [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 49.837 * [taylor]: Taking taylor expansion of 2 in J 49.837 * [backup-simplify]: Simplify 2 into 2 49.837 * [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 49.837 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 49.837 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.838 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.838 * [taylor]: Taking taylor expansion of -1/2 in J 49.838 * [backup-simplify]: Simplify -1/2 into -1/2 49.838 * [taylor]: Taking taylor expansion of K in J 49.838 * [backup-simplify]: Simplify K into K 49.838 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.838 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.838 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.838 * [taylor]: Taking taylor expansion of J in J 49.838 * [backup-simplify]: Simplify 0 into 0 49.838 * [backup-simplify]: Simplify 1 into 1 49.838 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.838 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.838 * [backup-simplify]: Simplify (- 0) into 0 49.838 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.838 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.838 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 49.838 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 49.838 * [taylor]: Taking taylor expansion of 1 in J 49.838 * [backup-simplify]: Simplify 1 into 1 49.838 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 49.838 * [taylor]: Taking taylor expansion of 1/4 in J 49.838 * [backup-simplify]: Simplify 1/4 into 1/4 49.838 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 49.838 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.838 * [taylor]: Taking taylor expansion of J in J 49.838 * [backup-simplify]: Simplify 0 into 0 49.838 * [backup-simplify]: Simplify 1 into 1 49.838 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 49.838 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 49.838 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.838 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.838 * [taylor]: Taking taylor expansion of -1/2 in J 49.838 * [backup-simplify]: Simplify -1/2 into -1/2 49.838 * [taylor]: Taking taylor expansion of K in J 49.839 * [backup-simplify]: Simplify K into K 49.839 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.839 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.839 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.839 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.839 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.839 * [backup-simplify]: Simplify (- 0) into 0 49.839 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.839 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.839 * [taylor]: Taking taylor expansion of U in J 49.839 * [backup-simplify]: Simplify U into U 49.839 * [backup-simplify]: Simplify (* 1 1) into 1 49.839 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.839 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.840 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.840 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 49.840 * [backup-simplify]: Simplify (+ 1 0) into 1 49.840 * [backup-simplify]: Simplify (sqrt 1) into 1 49.840 * [backup-simplify]: Simplify (+ 0 0) into 0 49.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.841 * [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 49.841 * [taylor]: Taking taylor expansion of 2 in K 49.841 * [backup-simplify]: Simplify 2 into 2 49.841 * [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 49.841 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 49.841 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.841 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.841 * [taylor]: Taking taylor expansion of -1/2 in K 49.841 * [backup-simplify]: Simplify -1/2 into -1/2 49.841 * [taylor]: Taking taylor expansion of K in K 49.841 * [backup-simplify]: Simplify 0 into 0 49.841 * [backup-simplify]: Simplify 1 into 1 49.841 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.841 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.841 * [taylor]: Taking taylor expansion of J in K 49.841 * [backup-simplify]: Simplify J into J 49.841 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 49.841 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 49.842 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 49.842 * [taylor]: Taking taylor expansion of 1 in K 49.842 * [backup-simplify]: Simplify 1 into 1 49.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 49.842 * [taylor]: Taking taylor expansion of 1/4 in K 49.842 * [backup-simplify]: Simplify 1/4 into 1/4 49.842 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 49.842 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.842 * [taylor]: Taking taylor expansion of J in K 49.842 * [backup-simplify]: Simplify J into J 49.842 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 49.842 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 49.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.842 * [taylor]: Taking taylor expansion of -1/2 in K 49.842 * [backup-simplify]: Simplify -1/2 into -1/2 49.842 * [taylor]: Taking taylor expansion of K in K 49.842 * [backup-simplify]: Simplify 0 into 0 49.842 * [backup-simplify]: Simplify 1 into 1 49.842 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.842 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.842 * [taylor]: Taking taylor expansion of U in K 49.842 * [backup-simplify]: Simplify U into U 49.842 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.842 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.842 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.843 * [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))) 49.843 * [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)))) 49.843 * [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))))) 49.843 * [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)))))) 49.843 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.843 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.843 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 49.844 * [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 49.844 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 49.844 * [backup-simplify]: Simplify (+ 0 0) into 0 49.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 49.845 * [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 49.845 * [taylor]: Taking taylor expansion of 2 in U 49.845 * [backup-simplify]: Simplify 2 into 2 49.845 * [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 49.845 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 49.845 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.845 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.845 * [taylor]: Taking taylor expansion of -1/2 in U 49.845 * [backup-simplify]: Simplify -1/2 into -1/2 49.845 * [taylor]: Taking taylor expansion of K in U 49.845 * [backup-simplify]: Simplify K into K 49.845 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.845 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.845 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.845 * [taylor]: Taking taylor expansion of J in U 49.845 * [backup-simplify]: Simplify J into J 49.845 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.845 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.845 * [backup-simplify]: Simplify (- 0) into 0 49.845 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.845 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 49.845 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.845 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.845 * [taylor]: Taking taylor expansion of 1 in U 49.845 * [backup-simplify]: Simplify 1 into 1 49.845 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.845 * [taylor]: Taking taylor expansion of 1/4 in U 49.845 * [backup-simplify]: Simplify 1/4 into 1/4 49.845 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.846 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.846 * [taylor]: Taking taylor expansion of J in U 49.846 * [backup-simplify]: Simplify J into J 49.846 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.846 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.846 * [taylor]: Taking taylor expansion of -1/2 in U 49.846 * [backup-simplify]: Simplify -1/2 into -1/2 49.846 * [taylor]: Taking taylor expansion of K in U 49.846 * [backup-simplify]: Simplify K into K 49.846 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.846 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.846 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.846 * [backup-simplify]: Simplify (- 0) into 0 49.846 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.846 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.846 * [taylor]: Taking taylor expansion of U in U 49.846 * [backup-simplify]: Simplify 0 into 0 49.846 * [backup-simplify]: Simplify 1 into 1 49.846 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.847 * [backup-simplify]: Simplify (* 1 1) into 1 49.847 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.847 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.847 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.847 * [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))) 49.847 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.847 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.848 * [backup-simplify]: Simplify (+ 0) into 0 49.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.848 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.849 * [backup-simplify]: Simplify (- 0) into 0 49.850 * [backup-simplify]: Simplify (+ 0 0) into 0 49.850 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.850 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.850 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.851 * [backup-simplify]: Simplify (+ 0 0) into 0 49.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.851 * [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 49.851 * [taylor]: Taking taylor expansion of 2 in U 49.851 * [backup-simplify]: Simplify 2 into 2 49.851 * [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 49.851 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 49.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.851 * [taylor]: Taking taylor expansion of -1/2 in U 49.851 * [backup-simplify]: Simplify -1/2 into -1/2 49.851 * [taylor]: Taking taylor expansion of K in U 49.851 * [backup-simplify]: Simplify K into K 49.851 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.851 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.851 * [taylor]: Taking taylor expansion of J in U 49.851 * [backup-simplify]: Simplify J into J 49.851 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.851 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.852 * [backup-simplify]: Simplify (- 0) into 0 49.852 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.852 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 49.852 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.852 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.852 * [taylor]: Taking taylor expansion of 1 in U 49.852 * [backup-simplify]: Simplify 1 into 1 49.852 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.852 * [taylor]: Taking taylor expansion of 1/4 in U 49.852 * [backup-simplify]: Simplify 1/4 into 1/4 49.852 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.852 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.852 * [taylor]: Taking taylor expansion of J in U 49.852 * [backup-simplify]: Simplify J into J 49.852 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.852 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.852 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.852 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.852 * [taylor]: Taking taylor expansion of -1/2 in U 49.852 * [backup-simplify]: Simplify -1/2 into -1/2 49.852 * [taylor]: Taking taylor expansion of K in U 49.852 * [backup-simplify]: Simplify K into K 49.852 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.852 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.852 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.852 * [backup-simplify]: Simplify (- 0) into 0 49.853 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.853 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.853 * [taylor]: Taking taylor expansion of U in U 49.853 * [backup-simplify]: Simplify 0 into 0 49.853 * [backup-simplify]: Simplify 1 into 1 49.853 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.853 * [backup-simplify]: Simplify (* 1 1) into 1 49.853 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.853 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.853 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.853 * [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))) 49.854 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.854 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.854 * [backup-simplify]: Simplify (+ 0) into 0 49.855 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.856 * [backup-simplify]: Simplify (- 0) into 0 49.856 * [backup-simplify]: Simplify (+ 0 0) into 0 49.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.856 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.856 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.857 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.857 * [backup-simplify]: Simplify (+ 0 0) into 0 49.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.857 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 49.858 * [backup-simplify]: Simplify (* 2 1/2) into 1 49.858 * [taylor]: Taking taylor expansion of 1 in K 49.858 * [backup-simplify]: Simplify 1 into 1 49.858 * [taylor]: Taking taylor expansion of 1 in J 49.858 * [backup-simplify]: Simplify 1 into 1 49.858 * [backup-simplify]: Simplify (+ 0) into 0 49.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.860 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.860 * [backup-simplify]: Simplify (- 0) into 0 49.861 * [backup-simplify]: Simplify (+ 0 0) into 0 49.861 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 49.861 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 49.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 49.862 * [taylor]: Taking taylor expansion of 0 in K 49.862 * [backup-simplify]: Simplify 0 into 0 49.862 * [taylor]: Taking taylor expansion of 0 in J 49.862 * [backup-simplify]: Simplify 0 into 0 49.862 * [taylor]: Taking taylor expansion of 0 in J 49.862 * [backup-simplify]: Simplify 0 into 0 49.862 * [backup-simplify]: Simplify 1 into 1 49.863 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.866 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.867 * [backup-simplify]: Simplify (- 0) into 0 49.868 * [backup-simplify]: Simplify (+ 0 0) into 0 49.868 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 49.869 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 49.870 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 49.871 * [backup-simplify]: Simplify (+ 1 0) into 1 49.872 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 49.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.874 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.875 * [backup-simplify]: Simplify (- 0) into 0 49.875 * [backup-simplify]: Simplify (+ 0 0) into 0 49.875 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 49.876 * [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)) 49.876 * [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))) 49.876 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 49.876 * [taylor]: Taking taylor expansion of 2 in K 49.876 * [backup-simplify]: Simplify 2 into 2 49.876 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 49.876 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 49.876 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.876 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.876 * [taylor]: Taking taylor expansion of -1/2 in K 49.876 * [backup-simplify]: Simplify -1/2 into -1/2 49.876 * [taylor]: Taking taylor expansion of K in K 49.876 * [backup-simplify]: Simplify 0 into 0 49.876 * [backup-simplify]: Simplify 1 into 1 49.880 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.880 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.880 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.880 * [taylor]: Taking taylor expansion of J in K 49.880 * [backup-simplify]: Simplify J into J 49.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.881 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.881 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 49.881 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 49.881 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 49.881 * [taylor]: Taking taylor expansion of 2 in J 49.881 * [backup-simplify]: Simplify 2 into 2 49.881 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 49.881 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 49.881 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.881 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.881 * [taylor]: Taking taylor expansion of -1/2 in J 49.881 * [backup-simplify]: Simplify -1/2 into -1/2 49.881 * [taylor]: Taking taylor expansion of K in J 49.881 * [backup-simplify]: Simplify K into K 49.881 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.881 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.881 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.881 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.882 * [backup-simplify]: Simplify (- 0) into 0 49.882 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.882 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.882 * [taylor]: Taking taylor expansion of J in J 49.882 * [backup-simplify]: Simplify 0 into 0 49.882 * [backup-simplify]: Simplify 1 into 1 49.882 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.882 * [backup-simplify]: Simplify (* 1 1) into 1 49.882 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.882 * [backup-simplify]: Simplify (+ 0) into 0 49.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.883 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.884 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.884 * [backup-simplify]: Simplify (- 0) into 0 49.884 * [backup-simplify]: Simplify (+ 0 0) into 0 49.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 49.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 49.886 * [backup-simplify]: Simplify 0 into 0 49.886 * [taylor]: Taking taylor expansion of 0 in J 49.886 * [backup-simplify]: Simplify 0 into 0 49.886 * [taylor]: Taking taylor expansion of 0 in J 49.886 * [backup-simplify]: Simplify 0 into 0 49.886 * [backup-simplify]: Simplify 0 into 0 49.886 * [backup-simplify]: Simplify 0 into 0 49.886 * [backup-simplify]: Simplify 0 into 0 49.886 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 49.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.888 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.890 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.890 * [backup-simplify]: Simplify (- 0) into 0 49.890 * [backup-simplify]: Simplify (+ 0 0) into 0 49.891 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 49.891 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.892 * [backup-simplify]: 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 49.892 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.893 * [backup-simplify]: Simplify (+ 0 0) into 0 49.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 49.893 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.894 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.895 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.895 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.895 * [backup-simplify]: Simplify (- 0) into 0 49.896 * [backup-simplify]: Simplify (+ 0 0) into 0 49.896 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 49.896 * [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 49.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 49.897 * [taylor]: Taking taylor expansion of 0 in K 49.897 * [backup-simplify]: Simplify 0 into 0 49.897 * [taylor]: Taking taylor expansion of 0 in J 49.897 * [backup-simplify]: Simplify 0 into 0 49.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.897 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.897 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.898 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 49.898 * [taylor]: Taking taylor expansion of 0 in J 49.898 * [backup-simplify]: Simplify 0 into 0 49.898 * [taylor]: Taking taylor expansion of 0 in J 49.898 * [backup-simplify]: Simplify 0 into 0 49.898 * [taylor]: Taking taylor expansion of 0 in J 49.898 * [backup-simplify]: Simplify 0 into 0 49.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.899 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.900 * [backup-simplify]: Simplify (- 0) into 0 49.900 * [backup-simplify]: Simplify (+ 0 0) into 0 49.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 49.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 49.903 * [backup-simplify]: Simplify 0 into 0 49.903 * [backup-simplify]: Simplify 0 into 0 49.903 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 49.903 * * * [progress]: simplifying candidates 49.903 * * * * [progress]: [ 1 / 85 ] simplifiying candidate # 49.903 * * * * [progress]: [ 2 / 85 ] simplifiying candidate # 49.903 * * * * [progress]: [ 3 / 85 ] simplifiying candidate # 49.903 * * * * [progress]: [ 4 / 85 ] simplifiying candidate # 49.903 * * * * [progress]: [ 5 / 85 ] simplifiying candidate # 49.903 * * * * [progress]: [ 6 / 85 ] simplifiying candidate # 49.903 * * * * [progress]: [ 7 / 85 ] simplifiying candidate # 49.904 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 49.904 * * [simplify]: iters left: 6 (15 enodes) 49.909 * * [simplify]: iters left: 5 (59 enodes) 49.929 * * [simplify]: iters left: 4 (112 enodes) 49.982 * * [simplify]: iters left: 3 (365 enodes) 50.237 * * [simplify]: Extracting #0: cost 1 inf + 0 50.237 * * [simplify]: Extracting #1: cost 4 inf + 0 50.237 * * [simplify]: Extracting #2: cost 7 inf + 0 50.237 * * [simplify]: Extracting #3: cost 10 inf + 0 50.238 * * [simplify]: Extracting #4: cost 122 inf + 1 50.240 * * [simplify]: Extracting #5: cost 241 inf + 89 50.243 * * [simplify]: Extracting #6: cost 203 inf + 3666 50.251 * * [simplify]: Extracting #7: cost 128 inf + 17960 50.272 * * [simplify]: Extracting #8: cost 13 inf + 45848 50.288 * * [simplify]: Extracting #9: cost 0 inf + 48961 50.308 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 50.308 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))))) 50.309 * * * * [progress]: [ 8 / 85 ] simplifiying candidate # 50.309 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 50.310 * * [simplify]: iters left: 6 (14 enodes) 50.318 * * [simplify]: iters left: 5 (55 enodes) 50.336 * * [simplify]: iters left: 4 (108 enodes) 50.391 * * [simplify]: iters left: 3 (363 enodes) 50.713 * * [simplify]: Extracting #0: cost 1 inf + 0 50.713 * * [simplify]: Extracting #1: cost 3 inf + 0 50.713 * * [simplify]: Extracting #2: cost 5 inf + 0 50.713 * * [simplify]: Extracting #3: cost 8 inf + 0 50.713 * * [simplify]: Extracting #4: cost 123 inf + 1 50.715 * * [simplify]: Extracting #5: cost 234 inf + 420 50.718 * * [simplify]: Extracting #6: cost 203 inf + 3175 50.726 * * [simplify]: Extracting #7: cost 127 inf + 18949 50.752 * * [simplify]: Extracting #8: cost 7 inf + 46860 50.775 * * [simplify]: Extracting #9: cost 0 inf + 48232 50.792 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 50.792 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))))) 50.793 * * * * [progress]: [ 9 / 85 ] simplifiying candidate # 50.793 * [simplify]: Simplifying (sqrt 1) 50.793 * * [simplify]: iters left: 1 (2 enodes) 50.795 * * [simplify]: Extracting #0: cost 1 inf + 0 50.795 * * [simplify]: Extracting #1: cost 0 inf + 1 50.795 * [simplify]: Simplified to 1 50.795 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))))) 50.795 * * * * [progress]: [ 10 / 85 ] simplifiying candidate # 50.795 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 50.795 * * [simplify]: iters left: 6 (16 enodes) 50.800 * * [simplify]: iters left: 5 (70 enodes) 50.816 * * [simplify]: iters left: 4 (176 enodes) 50.927 * * [simplify]: Extracting #0: cost 1 inf + 0 50.927 * * [simplify]: Extracting #1: cost 3 inf + 0 50.927 * * [simplify]: Extracting #2: cost 6 inf + 0 50.927 * * [simplify]: Extracting #3: cost 103 inf + 1 50.928 * * [simplify]: Extracting #4: cost 306 inf + 6 50.931 * * [simplify]: Extracting #5: cost 338 inf + 1810 50.940 * * [simplify]: Extracting #6: cost 242 inf + 27932 50.969 * * [simplify]: Extracting #7: cost 28 inf + 100762 50.993 * * [simplify]: Extracting #8: cost 0 inf + 110036 51.016 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 51.016 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))))) 51.016 * * * * [progress]: [ 11 / 85 ] simplifiying candidate # 51.016 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 51.017 * * [simplify]: iters left: 6 (15 enodes) 51.023 * * [simplify]: iters left: 5 (62 enodes) 51.035 * * [simplify]: iters left: 4 (150 enodes) 51.121 * * [simplify]: Extracting #0: cost 1 inf + 0 51.121 * * [simplify]: Extracting #1: cost 3 inf + 0 51.121 * * [simplify]: Extracting #2: cost 9 inf + 0 51.121 * * [simplify]: Extracting #3: cost 105 inf + 2 51.123 * * [simplify]: Extracting #4: cost 286 inf + 6 51.129 * * [simplify]: Extracting #5: cost 280 inf + 1923 51.138 * * [simplify]: Extracting #6: cost 191 inf + 25190 51.167 * * [simplify]: Extracting #7: cost 26 inf + 76271 51.188 * * [simplify]: Extracting #8: cost 0 inf + 85028 51.206 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 51.207 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))))) 51.207 * * * * [progress]: [ 12 / 85 ] simplifiying candidate # 51.208 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 51.208 * * [simplify]: iters left: 6 (12 enodes) 51.215 * * [simplify]: iters left: 5 (49 enodes) 51.225 * * [simplify]: iters left: 4 (102 enodes) 51.254 * * [simplify]: iters left: 3 (356 enodes) 51.455 * * [simplify]: Extracting #0: cost 1 inf + 0 51.455 * * [simplify]: Extracting #1: cost 4 inf + 0 51.455 * * [simplify]: Extracting #2: cost 116 inf + 1 51.456 * * [simplify]: Extracting #3: cost 234 inf + 254 51.458 * * [simplify]: Extracting #4: cost 192 inf + 4198 51.462 * * [simplify]: Extracting #5: cost 121 inf + 19235 51.475 * * [simplify]: Extracting #6: cost 5 inf + 46310 51.490 * * [simplify]: Extracting #7: cost 0 inf + 47117 51.515 * * [simplify]: Extracting #8: cost 0 inf + 46998 51.544 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 51.544 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))))) 51.545 * * * * [progress]: [ 13 / 85 ] simplifiying candidate # 51.545 * * * * [progress]: [ 14 / 85 ] simplifiying candidate # 51.545 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 51.545 * * [simplify]: iters left: 6 (13 enodes) 51.553 * * [simplify]: iters left: 5 (52 enodes) 51.570 * * [simplify]: iters left: 4 (105 enodes) 51.621 * * [simplify]: iters left: 3 (359 enodes) 51.876 * * [simplify]: Extracting #0: cost 1 inf + 0 51.877 * * [simplify]: Extracting #1: cost 3 inf + 0 51.877 * * [simplify]: Extracting #2: cost 6 inf + 0 51.877 * * [simplify]: Extracting #3: cost 118 inf + 1 51.879 * * [simplify]: Extracting #4: cost 235 inf + 336 51.883 * * [simplify]: Extracting #5: cost 193 inf + 4402 51.891 * * [simplify]: Extracting #6: cost 119 inf + 19348 51.914 * * [simplify]: Extracting #7: cost 7 inf + 46040 51.928 * * [simplify]: Extracting #8: cost 0 inf + 47488 51.944 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 51.944 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))))) 51.944 * * * * [progress]: [ 15 / 85 ] simplifiying candidate # 51.944 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))> 51.944 * * * * [progress]: [ 17 / 85 ] simplifiying candidate # 51.944 * * * * [progress]: [ 18 / 85 ] simplifiying candidate # 51.944 * * * * [progress]: [ 19 / 85 ] simplifiying candidate # 51.945 * * * * [progress]: [ 20 / 85 ] simplifiying candidate # 51.945 * * * * [progress]: [ 21 / 85 ] simplifiying candidate # 51.945 * * * * [progress]: [ 22 / 85 ] simplifiying candidate # 51.945 * * * * [progress]: [ 23 / 85 ] simplifiying candidate # 51.945 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 51.945 * * [simplify]: iters left: 6 (15 enodes) 51.953 * * [simplify]: iters left: 5 (59 enodes) 51.972 * * [simplify]: iters left: 4 (112 enodes) 52.025 * * [simplify]: iters left: 3 (365 enodes) 52.344 * * [simplify]: Extracting #0: cost 1 inf + 0 52.344 * * [simplify]: Extracting #1: cost 4 inf + 0 52.344 * * [simplify]: Extracting #2: cost 7 inf + 0 52.344 * * [simplify]: Extracting #3: cost 10 inf + 0 52.344 * * [simplify]: Extracting #4: cost 122 inf + 1 52.346 * * [simplify]: Extracting #5: cost 241 inf + 89 52.350 * * [simplify]: Extracting #6: cost 203 inf + 3666 52.357 * * [simplify]: Extracting #7: cost 128 inf + 17960 52.381 * * [simplify]: Extracting #8: cost 13 inf + 45848 52.411 * * [simplify]: Extracting #9: cost 0 inf + 48961 52.444 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 52.444 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 52.444 * * * * [progress]: [ 24 / 85 ] simplifiying candidate # 52.444 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 52.445 * * [simplify]: iters left: 6 (14 enodes) 52.451 * * [simplify]: iters left: 5 (55 enodes) 52.470 * * [simplify]: iters left: 4 (108 enodes) 52.521 * * [simplify]: iters left: 3 (363 enodes) 52.779 * * [simplify]: Extracting #0: cost 1 inf + 0 52.779 * * [simplify]: Extracting #1: cost 3 inf + 0 52.779 * * [simplify]: Extracting #2: cost 5 inf + 0 52.779 * * [simplify]: Extracting #3: cost 8 inf + 0 52.780 * * [simplify]: Extracting #4: cost 123 inf + 1 52.782 * * [simplify]: Extracting #5: cost 234 inf + 420 52.785 * * [simplify]: Extracting #6: cost 203 inf + 3175 52.797 * * [simplify]: Extracting #7: cost 127 inf + 18949 52.820 * * [simplify]: Extracting #8: cost 7 inf + 46860 52.836 * * [simplify]: Extracting #9: cost 0 inf + 48232 52.855 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 52.855 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 52.856 * * * * [progress]: [ 25 / 85 ] simplifiying candidate # 52.856 * [simplify]: Simplifying (sqrt 1) 52.856 * * [simplify]: iters left: 1 (2 enodes) 52.859 * * [simplify]: Extracting #0: cost 1 inf + 0 52.859 * * [simplify]: Extracting #1: cost 0 inf + 1 52.859 * [simplify]: Simplified to 1 52.859 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 52.860 * * * * [progress]: [ 26 / 85 ] simplifiying candidate # 52.860 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 52.860 * * [simplify]: iters left: 6 (16 enodes) 52.870 * * [simplify]: iters left: 5 (70 enodes) 52.897 * * [simplify]: iters left: 4 (176 enodes) 53.005 * * [simplify]: Extracting #0: cost 1 inf + 0 53.005 * * [simplify]: Extracting #1: cost 3 inf + 0 53.005 * * [simplify]: Extracting #2: cost 6 inf + 0 53.006 * * [simplify]: Extracting #3: cost 103 inf + 1 53.007 * * [simplify]: Extracting #4: cost 306 inf + 6 53.009 * * [simplify]: Extracting #5: cost 338 inf + 1810 53.018 * * [simplify]: Extracting #6: cost 242 inf + 27932 53.052 * * [simplify]: Extracting #7: cost 28 inf + 100762 53.096 * * [simplify]: Extracting #8: cost 0 inf + 110036 53.145 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 53.145 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 53.146 * * * * [progress]: [ 27 / 85 ] simplifiying candidate # 53.146 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 53.146 * * [simplify]: iters left: 6 (15 enodes) 53.155 * * [simplify]: iters left: 5 (62 enodes) 53.178 * * [simplify]: iters left: 4 (150 enodes) 53.317 * * [simplify]: Extracting #0: cost 1 inf + 0 53.317 * * [simplify]: Extracting #1: cost 3 inf + 0 53.317 * * [simplify]: Extracting #2: cost 9 inf + 0 53.318 * * [simplify]: Extracting #3: cost 105 inf + 2 53.319 * * [simplify]: Extracting #4: cost 286 inf + 6 53.321 * * [simplify]: Extracting #5: cost 280 inf + 1923 53.330 * * [simplify]: Extracting #6: cost 191 inf + 25190 53.358 * * [simplify]: Extracting #7: cost 26 inf + 76271 53.388 * * [simplify]: Extracting #8: cost 0 inf + 85028 53.413 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 53.413 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 53.414 * * * * [progress]: [ 28 / 85 ] simplifiying candidate # 53.415 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 53.415 * * [simplify]: iters left: 6 (12 enodes) 53.421 * * [simplify]: iters left: 5 (49 enodes) 53.434 * * [simplify]: iters left: 4 (102 enodes) 53.460 * * [simplify]: iters left: 3 (356 enodes) 53.651 * * [simplify]: Extracting #0: cost 1 inf + 0 53.651 * * [simplify]: Extracting #1: cost 4 inf + 0 53.651 * * [simplify]: Extracting #2: cost 116 inf + 1 53.652 * * [simplify]: Extracting #3: cost 234 inf + 254 53.654 * * [simplify]: Extracting #4: cost 192 inf + 4198 53.659 * * [simplify]: Extracting #5: cost 121 inf + 19235 53.675 * * [simplify]: Extracting #6: cost 5 inf + 46310 53.697 * * [simplify]: Extracting #7: cost 0 inf + 47117 53.718 * * [simplify]: Extracting #8: cost 0 inf + 46998 53.733 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 53.733 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 53.733 * * * * [progress]: [ 29 / 85 ] simplifiying candidate # 53.733 * * * * [progress]: [ 30 / 85 ] simplifiying candidate # 53.733 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 53.734 * * [simplify]: iters left: 6 (13 enodes) 53.737 * * [simplify]: iters left: 5 (52 enodes) 53.750 * * [simplify]: iters left: 4 (105 enodes) 53.777 * * [simplify]: iters left: 3 (359 enodes) 53.982 * * [simplify]: Extracting #0: cost 1 inf + 0 53.982 * * [simplify]: Extracting #1: cost 3 inf + 0 53.982 * * [simplify]: Extracting #2: cost 6 inf + 0 53.982 * * [simplify]: Extracting #3: cost 118 inf + 1 53.983 * * [simplify]: Extracting #4: cost 235 inf + 336 53.985 * * [simplify]: Extracting #5: cost 193 inf + 4402 53.989 * * [simplify]: Extracting #6: cost 119 inf + 19348 54.010 * * [simplify]: Extracting #7: cost 7 inf + 46040 54.039 * * [simplify]: Extracting #8: cost 0 inf + 47488 54.066 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 54.066 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 54.066 * * * * [progress]: [ 31 / 85 ] simplifiying candidate # 54.066 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))> 54.066 * * * * [progress]: [ 33 / 85 ] simplifiying candidate # 54.066 * * * * [progress]: [ 34 / 85 ] simplifiying candidate # 54.066 * * * * [progress]: [ 35 / 85 ] simplifiying candidate # 54.066 * * * * [progress]: [ 36 / 85 ] simplifiying candidate # 54.067 * * * * [progress]: [ 37 / 85 ] simplifiying candidate # 54.067 * * * * [progress]: [ 38 / 85 ] simplifiying candidate # 54.067 * * * * [progress]: [ 39 / 85 ] simplifiying candidate # 54.067 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 54.067 * * [simplify]: iters left: 6 (15 enodes) 54.071 * * [simplify]: iters left: 5 (59 enodes) 54.082 * * [simplify]: iters left: 4 (112 enodes) 54.117 * * [simplify]: iters left: 3 (365 enodes) 54.384 * * [simplify]: Extracting #0: cost 1 inf + 0 54.384 * * [simplify]: Extracting #1: cost 4 inf + 0 54.384 * * [simplify]: Extracting #2: cost 7 inf + 0 54.384 * * [simplify]: Extracting #3: cost 10 inf + 0 54.384 * * [simplify]: Extracting #4: cost 122 inf + 1 54.386 * * [simplify]: Extracting #5: cost 241 inf + 89 54.394 * * [simplify]: Extracting #6: cost 203 inf + 3666 54.401 * * [simplify]: Extracting #7: cost 128 inf + 17960 54.425 * * [simplify]: Extracting #8: cost 13 inf + 45848 54.456 * * [simplify]: Extracting #9: cost 0 inf + 48961 54.480 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 54.480 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 54.480 * * * * [progress]: [ 40 / 85 ] simplifiying candidate # 54.481 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 54.481 * * [simplify]: iters left: 6 (14 enodes) 54.485 * * [simplify]: iters left: 5 (55 enodes) 54.494 * * [simplify]: iters left: 4 (108 enodes) 54.522 * * [simplify]: iters left: 3 (363 enodes) 54.737 * * [simplify]: Extracting #0: cost 1 inf + 0 54.737 * * [simplify]: Extracting #1: cost 3 inf + 0 54.737 * * [simplify]: Extracting #2: cost 5 inf + 0 54.737 * * [simplify]: Extracting #3: cost 8 inf + 0 54.737 * * [simplify]: Extracting #4: cost 123 inf + 1 54.739 * * [simplify]: Extracting #5: cost 234 inf + 420 54.742 * * [simplify]: Extracting #6: cost 203 inf + 3175 54.750 * * [simplify]: Extracting #7: cost 127 inf + 18949 54.776 * * [simplify]: Extracting #8: cost 7 inf + 46860 54.806 * * [simplify]: Extracting #9: cost 0 inf + 48232 54.839 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 54.839 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 54.840 * * * * [progress]: [ 41 / 85 ] simplifiying candidate # 54.840 * [simplify]: Simplifying (sqrt 1) 54.840 * * [simplify]: iters left: 1 (2 enodes) 54.844 * * [simplify]: Extracting #0: cost 1 inf + 0 54.844 * * [simplify]: Extracting #1: cost 0 inf + 1 54.844 * [simplify]: Simplified to 1 54.844 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 54.844 * * * * [progress]: [ 42 / 85 ] simplifiying candidate # 54.844 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 54.845 * * [simplify]: iters left: 6 (16 enodes) 54.855 * * [simplify]: iters left: 5 (70 enodes) 54.875 * * [simplify]: iters left: 4 (176 enodes) 54.981 * * [simplify]: Extracting #0: cost 1 inf + 0 54.981 * * [simplify]: Extracting #1: cost 3 inf + 0 54.981 * * [simplify]: Extracting #2: cost 6 inf + 0 54.981 * * [simplify]: Extracting #3: cost 103 inf + 1 54.982 * * [simplify]: Extracting #4: cost 306 inf + 6 54.983 * * [simplify]: Extracting #5: cost 338 inf + 1810 54.988 * * [simplify]: Extracting #6: cost 242 inf + 27932 55.021 * * [simplify]: Extracting #7: cost 28 inf + 100762 55.056 * * [simplify]: Extracting #8: cost 0 inf + 110036 55.080 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 55.080 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 55.080 * * * * [progress]: [ 43 / 85 ] simplifiying candidate # 55.080 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 55.081 * * [simplify]: iters left: 6 (15 enodes) 55.088 * * [simplify]: iters left: 5 (62 enodes) 55.110 * * [simplify]: iters left: 4 (150 enodes) 55.252 * * [simplify]: Extracting #0: cost 1 inf + 0 55.252 * * [simplify]: Extracting #1: cost 3 inf + 0 55.252 * * [simplify]: Extracting #2: cost 9 inf + 0 55.252 * * [simplify]: Extracting #3: cost 105 inf + 2 55.254 * * [simplify]: Extracting #4: cost 286 inf + 6 55.256 * * [simplify]: Extracting #5: cost 280 inf + 1923 55.269 * * [simplify]: Extracting #6: cost 191 inf + 25190 55.299 * * [simplify]: Extracting #7: cost 26 inf + 76271 55.328 * * [simplify]: Extracting #8: cost 0 inf + 85028 55.346 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 55.346 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 55.347 * * * * [progress]: [ 44 / 85 ] simplifiying candidate # 55.347 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 55.347 * * [simplify]: iters left: 6 (12 enodes) 55.351 * * [simplify]: iters left: 5 (49 enodes) 55.364 * * [simplify]: iters left: 4 (102 enodes) 55.393 * * [simplify]: iters left: 3 (356 enodes) 55.627 * * [simplify]: Extracting #0: cost 1 inf + 0 55.627 * * [simplify]: Extracting #1: cost 4 inf + 0 55.627 * * [simplify]: Extracting #2: cost 116 inf + 1 55.628 * * [simplify]: Extracting #3: cost 234 inf + 254 55.630 * * [simplify]: Extracting #4: cost 192 inf + 4198 55.634 * * [simplify]: Extracting #5: cost 121 inf + 19235 55.647 * * [simplify]: Extracting #6: cost 5 inf + 46310 55.674 * * [simplify]: Extracting #7: cost 0 inf + 47117 55.703 * * [simplify]: Extracting #8: cost 0 inf + 46998 55.735 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 55.735 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 55.735 * * * * [progress]: [ 45 / 85 ] simplifiying candidate # 55.735 * * * * [progress]: [ 46 / 85 ] simplifiying candidate # 55.736 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 55.736 * * [simplify]: iters left: 6 (13 enodes) 55.743 * * [simplify]: iters left: 5 (52 enodes) 55.760 * * [simplify]: iters left: 4 (105 enodes) 55.793 * * [simplify]: iters left: 3 (359 enodes) 56.065 * * [simplify]: Extracting #0: cost 1 inf + 0 56.065 * * [simplify]: Extracting #1: cost 3 inf + 0 56.065 * * [simplify]: Extracting #2: cost 6 inf + 0 56.065 * * [simplify]: Extracting #3: cost 118 inf + 1 56.066 * * [simplify]: Extracting #4: cost 235 inf + 336 56.068 * * [simplify]: Extracting #5: cost 193 inf + 4402 56.075 * * [simplify]: Extracting #6: cost 119 inf + 19348 56.088 * * [simplify]: Extracting #7: cost 7 inf + 46040 56.117 * * [simplify]: Extracting #8: cost 0 inf + 47488 56.146 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 56.146 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 56.146 * * * * [progress]: [ 47 / 85 ] simplifiying candidate # 56.147 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))> 56.147 * * * * [progress]: [ 49 / 85 ] simplifiying candidate # 56.147 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 56.147 * * [simplify]: iters left: 6 (16 enodes) 56.156 * * [simplify]: iters left: 5 (67 enodes) 56.179 * * [simplify]: iters left: 4 (143 enodes) 56.232 * * [simplify]: iters left: 3 (434 enodes) 56.517 * * [simplify]: Extracting #0: cost 1 inf + 0 56.517 * * [simplify]: Extracting #1: cost 19 inf + 0 56.517 * * [simplify]: Extracting #2: cost 31 inf + 2 56.517 * * [simplify]: Extracting #3: cost 36 inf + 44 56.518 * * [simplify]: Extracting #4: cost 142 inf + 89 56.521 * * [simplify]: Extracting #5: cost 232 inf + 4336 56.548 * * [simplify]: Extracting #6: cost 40 inf + 43927 56.574 * * [simplify]: Extracting #7: cost 2 inf + 54059 56.591 * * [simplify]: Extracting #8: cost 0 inf + 54749 56.613 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 56.613 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)))) 56.614 * * * * [progress]: [ 50 / 85 ] simplifiying candidate # 56.614 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 56.615 * * [simplify]: iters left: 6 (16 enodes) 56.623 * * [simplify]: iters left: 5 (67 enodes) 56.645 * * [simplify]: iters left: 4 (143 enodes) 56.693 * * [simplify]: iters left: 3 (434 enodes) 56.954 * * [simplify]: Extracting #0: cost 1 inf + 0 56.954 * * [simplify]: Extracting #1: cost 19 inf + 0 56.954 * * [simplify]: Extracting #2: cost 31 inf + 2 56.954 * * [simplify]: Extracting #3: cost 36 inf + 44 56.955 * * [simplify]: Extracting #4: cost 142 inf + 89 56.958 * * [simplify]: Extracting #5: cost 232 inf + 4336 56.981 * * [simplify]: Extracting #6: cost 40 inf + 43927 57.009 * * [simplify]: Extracting #7: cost 2 inf + 54059 57.026 * * [simplify]: Extracting #8: cost 0 inf + 54749 57.043 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 57.043 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)))) 57.043 * * * * [progress]: [ 51 / 85 ] simplifiying candidate # 57.044 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 57.044 * * [simplify]: iters left: 6 (16 enodes) 57.051 * * [simplify]: iters left: 5 (67 enodes) 57.073 * * [simplify]: iters left: 4 (143 enodes) 57.108 * * [simplify]: iters left: 3 (434 enodes) 57.339 * * [simplify]: Extracting #0: cost 1 inf + 0 57.339 * * [simplify]: Extracting #1: cost 19 inf + 0 57.340 * * [simplify]: Extracting #2: cost 31 inf + 2 57.340 * * [simplify]: Extracting #3: cost 36 inf + 44 57.340 * * [simplify]: Extracting #4: cost 142 inf + 89 57.342 * * [simplify]: Extracting #5: cost 232 inf + 4336 57.356 * * [simplify]: Extracting #6: cost 40 inf + 43927 57.373 * * [simplify]: Extracting #7: cost 2 inf + 54059 57.390 * * [simplify]: Extracting #8: cost 0 inf + 54749 57.407 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 57.407 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)))) 57.408 * * * * [progress]: [ 52 / 85 ] simplifiying candidate # 57.408 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 57.408 * * [simplify]: iters left: 6 (16 enodes) 57.412 * * [simplify]: iters left: 5 (67 enodes) 57.428 * * [simplify]: iters left: 4 (143 enodes) 57.474 * * [simplify]: iters left: 3 (434 enodes) 57.745 * * [simplify]: Extracting #0: cost 1 inf + 0 57.746 * * [simplify]: Extracting #1: cost 19 inf + 0 57.746 * * [simplify]: Extracting #2: cost 31 inf + 2 57.746 * * [simplify]: Extracting #3: cost 36 inf + 44 57.749 * * [simplify]: Extracting #4: cost 142 inf + 89 57.752 * * [simplify]: Extracting #5: cost 232 inf + 4336 57.774 * * [simplify]: Extracting #6: cost 40 inf + 43927 57.807 * * [simplify]: Extracting #7: cost 2 inf + 54059 57.840 * * [simplify]: Extracting #8: cost 0 inf + 54749 57.875 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 57.875 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)))) 57.876 * * * * [progress]: [ 53 / 85 ] simplifiying candidate # 57.876 * * * * [progress]: [ 54 / 85 ] simplifiying candidate # 57.876 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J))) 57.876 * * [simplify]: iters left: 6 (21 enodes) 57.888 * * [simplify]: iters left: 5 (83 enodes) 57.914 * * [simplify]: iters left: 4 (159 enodes) 57.957 * * [simplify]: iters left: 3 (450 enodes) 58.199 * * [simplify]: Extracting #0: cost 1 inf + 0 58.199 * * [simplify]: Extracting #1: cost 17 inf + 0 58.200 * * [simplify]: Extracting #2: cost 35 inf + 0 58.200 * * [simplify]: Extracting #3: cost 35 inf + 144 58.200 * * [simplify]: Extracting #4: cost 39 inf + 397 58.200 * * [simplify]: Extracting #5: cost 149 inf + 653 58.202 * * [simplify]: Extracting #6: cost 241 inf + 4041 58.211 * * [simplify]: Extracting #7: cost 67 inf + 41321 58.228 * * [simplify]: Extracting #8: cost 2 inf + 59818 58.246 * * [simplify]: Extracting #9: cost 0 inf + 60617 58.263 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))) 58.264 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))))))) 58.264 * * * * [progress]: [ 55 / 85 ] simplifiying candidate # 58.264 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 58.264 * * [simplify]: iters left: 6 (19 enodes) 58.269 * * [simplify]: iters left: 5 (77 enodes) 58.284 * * [simplify]: iters left: 4 (149 enodes) 58.317 * * [simplify]: iters left: 3 (437 enodes) 58.614 * * [simplify]: Extracting #0: cost 1 inf + 0 58.615 * * [simplify]: Extracting #1: cost 16 inf + 0 58.615 * * [simplify]: Extracting #2: cost 35 inf + 0 58.615 * * [simplify]: Extracting #3: cost 36 inf + 144 58.615 * * [simplify]: Extracting #4: cost 39 inf + 579 58.616 * * [simplify]: Extracting #5: cost 147 inf + 653 58.619 * * [simplify]: Extracting #6: cost 234 inf + 5707 58.632 * * [simplify]: Extracting #7: cost 48 inf + 45584 58.649 * * [simplify]: Extracting #8: cost 2 inf + 58533 58.680 * * [simplify]: Extracting #9: cost 0 inf + 59248 58.719 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 58.719 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) 58.719 * * * * [progress]: [ 56 / 85 ] simplifiying candidate # 58.720 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 58.720 * * [simplify]: iters left: 6 (20 enodes) 58.730 * * [simplify]: iters left: 5 (81 enodes) 58.746 * * [simplify]: iters left: 4 (153 enodes) 58.783 * * [simplify]: iters left: 3 (441 enodes) 59.080 * * [simplify]: Extracting #0: cost 1 inf + 0 59.080 * * [simplify]: Extracting #1: cost 16 inf + 0 59.080 * * [simplify]: Extracting #2: cost 35 inf + 0 59.080 * * [simplify]: Extracting #3: cost 38 inf + 2 59.081 * * [simplify]: Extracting #4: cost 42 inf + 144 59.081 * * [simplify]: Extracting #5: cost 145 inf + 653 59.084 * * [simplify]: Extracting #6: cost 246 inf + 3631 59.101 * * [simplify]: Extracting #7: cost 70 inf + 39778 59.134 * * [simplify]: Extracting #8: cost 2 inf + 58947 59.174 * * [simplify]: Extracting #9: cost 0 inf + 59856 59.205 * * [simplify]: Extracting #10: cost 0 inf + 59855 59.223 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 59.223 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))) 59.224 * * * * [progress]: [ 57 / 85 ] simplifiying candidate # 59.224 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 59.224 * * [simplify]: iters left: 6 (18 enodes) 59.229 * * [simplify]: iters left: 5 (75 enodes) 59.253 * * [simplify]: iters left: 4 (146 enodes) 59.296 * * [simplify]: iters left: 3 (432 enodes) 59.590 * * [simplify]: Extracting #0: cost 1 inf + 0 59.590 * * [simplify]: Extracting #1: cost 16 inf + 0 59.590 * * [simplify]: Extracting #2: cost 36 inf + 0 59.591 * * [simplify]: Extracting #3: cost 38 inf + 144 59.591 * * [simplify]: Extracting #4: cost 41 inf + 468 59.592 * * [simplify]: Extracting #5: cost 150 inf + 653 59.597 * * [simplify]: Extracting #6: cost 220 inf + 8356 59.616 * * [simplify]: Extracting #7: cost 49 inf + 44223 59.655 * * [simplify]: Extracting #8: cost 4 inf + 57371 59.674 * * [simplify]: Extracting #9: cost 0 inf + 59271 59.693 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 59.693 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))))))) 59.694 * * * * [progress]: [ 58 / 85 ] simplifiying candidate # 59.694 * * * * [progress]: [ 59 / 85 ] simplifiying candidate # 59.694 * * * * [progress]: [ 60 / 85 ] simplifiying candidate # 59.694 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 59.695 * * [simplify]: iters left: 6 (25 enodes) 59.708 * * [simplify]: iters left: 5 (106 enodes) 59.746 * * [simplify]: iters left: 4 (290 enodes) 59.938 * * [simplify]: Extracting #0: cost 1 inf + 0 59.939 * * [simplify]: Extracting #1: cost 60 inf + 0 59.940 * * [simplify]: Extracting #2: cost 290 inf + 4 59.943 * * [simplify]: Extracting #3: cost 386 inf + 336 59.952 * * [simplify]: Extracting #4: cost 335 inf + 25383 59.974 * * [simplify]: Extracting #5: cost 110 inf + 100606 60.043 * * [simplify]: Extracting #6: cost 6 inf + 147667 60.109 * * [simplify]: Extracting #7: cost 0 inf + 150742 60.158 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 60.158 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))))) 60.159 * * * * [progress]: [ 61 / 85 ] simplifiying candidate # 60.159 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 60.159 * * [simplify]: iters left: 6 (22 enodes) 60.169 * * [simplify]: iters left: 5 (100 enodes) 60.210 * * [simplify]: iters left: 4 (294 enodes) 60.385 * * [simplify]: Extracting #0: cost 1 inf + 0 60.385 * * [simplify]: Extracting #1: cost 60 inf + 0 60.386 * * [simplify]: Extracting #2: cost 296 inf + 45 60.387 * * [simplify]: Extracting #3: cost 387 inf + 838 60.393 * * [simplify]: Extracting #4: cost 321 inf + 30714 60.416 * * [simplify]: Extracting #5: cost 92 inf + 107949 60.466 * * [simplify]: Extracting #6: cost 2 inf + 149823 60.524 * * [simplify]: Extracting #7: cost 0 inf + 150712 60.581 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 60.581 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))))) 60.581 * * * * [progress]: [ 62 / 85 ] simplifiying candidate # 60.582 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 60.582 * * [simplify]: iters left: 6 (23 enodes) 60.595 * * [simplify]: iters left: 5 (106 enodes) 60.632 * * [simplify]: iters left: 4 (272 enodes) 60.781 * * [simplify]: Extracting #0: cost 1 inf + 0 60.781 * * [simplify]: Extracting #1: cost 52 inf + 0 60.782 * * [simplify]: Extracting #2: cost 237 inf + 2 60.784 * * [simplify]: Extracting #3: cost 242 inf + 291 60.787 * * [simplify]: Extracting #4: cost 268 inf + 3688 60.803 * * [simplify]: Extracting #5: cost 226 inf + 37118 60.839 * * [simplify]: Extracting #6: cost 18 inf + 117250 60.892 * * [simplify]: Extracting #7: cost 0 inf + 126135 60.943 * * [simplify]: Extracting #8: cost 0 inf + 126134 60.984 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 60.984 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))))) 60.985 * * * * [progress]: [ 63 / 85 ] simplifiying candidate # 60.985 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 60.985 * * [simplify]: iters left: 6 (20 enodes) 60.994 * * [simplify]: iters left: 5 (100 enodes) 61.017 * * [simplify]: iters left: 4 (276 enodes) 61.144 * * [simplify]: Extracting #0: cost 1 inf + 0 61.145 * * [simplify]: Extracting #1: cost 53 inf + 0 61.146 * * [simplify]: Extracting #2: cost 239 inf + 43 61.148 * * [simplify]: Extracting #3: cost 239 inf + 415 61.150 * * [simplify]: Extracting #4: cost 270 inf + 3145 61.161 * * [simplify]: Extracting #5: cost 251 inf + 23178 61.196 * * [simplify]: Extracting #6: cost 106 inf + 68699 61.256 * * [simplify]: Extracting #7: cost 10 inf + 115190 61.324 * * [simplify]: Extracting #8: cost 0 inf + 120330 61.366 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 61.366 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 61.366 * * * * [progress]: [ 64 / 85 ] simplifiying candidate # 61.367 * * * * [progress]: [ 65 / 85 ] simplifiying candidate # 61.367 * * * * [progress]: [ 66 / 85 ] simplifiying candidate # 61.367 * * * * [progress]: [ 67 / 85 ] simplifiying candidate # 61.367 * * * * [progress]: [ 68 / 85 ] simplifiying candidate # 61.367 * * * * [progress]: [ 69 / 85 ] simplifiying candidate # 61.367 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 61.367 * * [simplify]: iters left: 6 (13 enodes) 61.374 * * [simplify]: iters left: 5 (52 enodes) 61.391 * * [simplify]: iters left: 4 (105 enodes) 61.442 * * [simplify]: iters left: 3 (359 enodes) 61.697 * * [simplify]: Extracting #0: cost 1 inf + 0 61.697 * * [simplify]: Extracting #1: cost 3 inf + 0 61.697 * * [simplify]: Extracting #2: cost 6 inf + 0 61.697 * * [simplify]: Extracting #3: cost 118 inf + 1 61.699 * * [simplify]: Extracting #4: cost 235 inf + 336 61.702 * * [simplify]: Extracting #5: cost 193 inf + 4402 61.710 * * [simplify]: Extracting #6: cost 119 inf + 19348 61.733 * * [simplify]: Extracting #7: cost 7 inf + 46040 61.748 * * [simplify]: Extracting #8: cost 0 inf + 47488 61.770 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 61.770 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J)))))) 61.771 * * * * [progress]: [ 70 / 85 ] simplifiying candidate # 61.771 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J)) 61.771 * * [simplify]: iters left: 6 (19 enodes) 61.783 * * [simplify]: iters left: 5 (85 enodes) 61.803 * * [simplify]: iters left: 4 (216 enodes) 61.948 * * [simplify]: Extracting #0: cost 1 inf + 0 61.948 * * [simplify]: Extracting #1: cost 16 inf + 0 61.948 * * [simplify]: Extracting #2: cost 27 inf + 44 61.949 * * [simplify]: Extracting #3: cost 32 inf + 86 61.949 * * [simplify]: Extracting #4: cost 125 inf + 89 61.951 * * [simplify]: Extracting #5: cost 329 inf + 858 61.962 * * [simplify]: Extracting #6: cost 272 inf + 29285 61.994 * * [simplify]: Extracting #7: cost 76 inf + 96357 62.048 * * [simplify]: Extracting #8: cost 1 inf + 124961 62.471 * * [simplify]: Extracting #9: cost 0 inf + 125265 62.527 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) 62.527 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) 62.528 * * * * [progress]: [ 71 / 85 ] simplifiying candidate # 62.529 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J)) 62.529 * * [simplify]: iters left: 6 (18 enodes) 62.539 * * [simplify]: iters left: 5 (77 enodes) 62.569 * * [simplify]: iters left: 4 (190 enodes) 62.678 * * [simplify]: Extracting #0: cost 1 inf + 0 62.678 * * [simplify]: Extracting #1: cost 16 inf + 0 62.679 * * [simplify]: Extracting #2: cost 28 inf + 2 62.679 * * [simplify]: Extracting #3: cost 35 inf + 86 62.679 * * [simplify]: Extracting #4: cost 122 inf + 90 62.681 * * [simplify]: Extracting #5: cost 296 inf + 1624 62.700 * * [simplify]: Extracting #6: cost 126 inf + 54777 62.737 * * [simplify]: Extracting #7: cost 1 inf + 93095 62.779 * * [simplify]: Extracting #8: cost 0 inf + 93560 62.820 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) 62.820 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 62.820 * * * * [progress]: [ 72 / 85 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))> 62.821 * * * * [progress]: [ 73 / 85 ] simplifiying candidate # 62.821 * * * * [progress]: [ 74 / 85 ] simplifiying candidate # 62.821 * [simplify]: Simplifying 1 62.821 * * [simplify]: iters left: 0 (1 enodes) 62.822 * * [simplify]: Extracting #0: cost 1 inf + 0 62.822 * * [simplify]: Extracting #1: cost 0 inf + 1 62.823 * [simplify]: Simplified to 1 62.823 * [simplify]: Simplified (2 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J))))) 62.823 * * * * [progress]: [ 75 / 85 ] simplifiying candidate # 62.823 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 62.823 * * [simplify]: iters left: 6 (9 enodes) 62.828 * * [simplify]: iters left: 5 (34 enodes) 62.836 * * [simplify]: iters left: 4 (56 enodes) 62.846 * * [simplify]: iters left: 3 (90 enodes) 62.859 * * [simplify]: iters left: 2 (114 enodes) 62.882 * * [simplify]: iters left: 1 (131 enodes) 62.903 * * [simplify]: Extracting #0: cost 1 inf + 0 62.903 * * [simplify]: Extracting #1: cost 22 inf + 0 62.903 * * [simplify]: Extracting #2: cost 37 inf + 3 62.904 * * [simplify]: Extracting #3: cost 31 inf + 380 62.904 * * [simplify]: Extracting #4: cost 17 inf + 1834 62.905 * * [simplify]: Extracting #5: cost 3 inf + 4117 62.906 * * [simplify]: Extracting #6: cost 0 inf + 4586 62.907 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 62.907 * [simplify]: Simplified (2 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))))) 62.907 * * * * [progress]: [ 76 / 85 ] simplifiying candidate # 62.907 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 62.907 * * [simplify]: iters left: 6 (9 enodes) 62.910 * * [simplify]: iters left: 5 (34 enodes) 62.915 * * [simplify]: iters left: 4 (56 enodes) 62.931 * * [simplify]: iters left: 3 (90 enodes) 62.953 * * [simplify]: iters left: 2 (114 enodes) 62.968 * * [simplify]: iters left: 1 (131 enodes) 62.986 * * [simplify]: Extracting #0: cost 1 inf + 0 62.986 * * [simplify]: Extracting #1: cost 22 inf + 0 62.986 * * [simplify]: Extracting #2: cost 37 inf + 3 62.986 * * [simplify]: Extracting #3: cost 31 inf + 380 62.987 * * [simplify]: Extracting #4: cost 17 inf + 1834 62.987 * * [simplify]: Extracting #5: cost 3 inf + 4117 62.989 * * [simplify]: Extracting #6: cost 0 inf + 4586 62.990 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 62.990 * [simplify]: Simplified (2 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))))) 62.990 * * * * [progress]: [ 77 / 85 ] simplifiying candidate # 62.990 * [simplify]: Simplifying 1 62.990 * * [simplify]: iters left: 0 (1 enodes) 62.991 * * [simplify]: Extracting #0: cost 1 inf + 0 62.991 * * [simplify]: Extracting #1: cost 0 inf + 1 62.991 * [simplify]: Simplified to 1 62.991 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 62.991 * * * * [progress]: [ 78 / 85 ] simplifiying candidate # 62.991 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 62.991 * * [simplify]: iters left: 6 (9 enodes) 62.994 * * [simplify]: iters left: 5 (34 enodes) 62.999 * * [simplify]: iters left: 4 (56 enodes) 63.009 * * [simplify]: iters left: 3 (90 enodes) 63.022 * * [simplify]: iters left: 2 (114 enodes) 63.037 * * [simplify]: iters left: 1 (131 enodes) 63.055 * * [simplify]: Extracting #0: cost 1 inf + 0 63.055 * * [simplify]: Extracting #1: cost 22 inf + 0 63.055 * * [simplify]: Extracting #2: cost 37 inf + 3 63.055 * * [simplify]: Extracting #3: cost 31 inf + 380 63.056 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.056 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.057 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.058 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.059 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 63.059 * * * * [progress]: [ 79 / 85 ] simplifiying candidate # 63.059 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 63.059 * * [simplify]: iters left: 6 (9 enodes) 63.061 * * [simplify]: iters left: 5 (34 enodes) 63.066 * * [simplify]: iters left: 4 (56 enodes) 63.082 * * [simplify]: iters left: 3 (90 enodes) 63.106 * * [simplify]: iters left: 2 (114 enodes) 63.133 * * [simplify]: iters left: 1 (131 enodes) 63.165 * * [simplify]: Extracting #0: cost 1 inf + 0 63.165 * * [simplify]: Extracting #1: cost 22 inf + 0 63.165 * * [simplify]: Extracting #2: cost 37 inf + 3 63.165 * * [simplify]: Extracting #3: cost 31 inf + 380 63.166 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.168 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.170 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.171 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.171 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 63.172 * * * * [progress]: [ 80 / 85 ] simplifiying candidate # 63.172 * [simplify]: Simplifying 1 63.172 * * [simplify]: iters left: 0 (1 enodes) 63.173 * * [simplify]: Extracting #0: cost 1 inf + 0 63.173 * * [simplify]: Extracting #1: cost 0 inf + 1 63.173 * [simplify]: Simplified to 1 63.173 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* 1 -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 63.173 * * * * [progress]: [ 81 / 85 ] simplifiying candidate # 63.174 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 63.174 * * [simplify]: iters left: 6 (9 enodes) 63.178 * * [simplify]: iters left: 5 (34 enodes) 63.186 * * [simplify]: iters left: 4 (56 enodes) 63.196 * * [simplify]: iters left: 3 (90 enodes) 63.209 * * [simplify]: iters left: 2 (114 enodes) 63.238 * * [simplify]: iters left: 1 (131 enodes) 63.256 * * [simplify]: Extracting #0: cost 1 inf + 0 63.256 * * [simplify]: Extracting #1: cost 22 inf + 0 63.256 * * [simplify]: Extracting #2: cost 37 inf + 3 63.256 * * [simplify]: Extracting #3: cost 31 inf + 380 63.257 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.258 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.259 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.260 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.260 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 63.260 * * * * [progress]: [ 82 / 85 ] simplifiying candidate # 63.260 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 63.260 * * [simplify]: iters left: 6 (9 enodes) 63.263 * * [simplify]: iters left: 5 (34 enodes) 63.268 * * [simplify]: iters left: 4 (56 enodes) 63.278 * * [simplify]: iters left: 3 (90 enodes) 63.292 * * [simplify]: iters left: 2 (114 enodes) 63.312 * * [simplify]: iters left: 1 (131 enodes) 63.344 * * [simplify]: Extracting #0: cost 1 inf + 0 63.344 * * [simplify]: Extracting #1: cost 22 inf + 0 63.344 * * [simplify]: Extracting #2: cost 37 inf + 3 63.344 * * [simplify]: Extracting #3: cost 31 inf + 380 63.345 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.346 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.348 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.350 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.350 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))) 63.351 * * * * [progress]: [ 83 / 85 ] simplifiying candidate # 63.351 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 63.351 * * [simplify]: iters left: 6 (10 enodes) 63.356 * * [simplify]: iters left: 5 (43 enodes) 63.369 * * [simplify]: iters left: 4 (79 enodes) 63.391 * * [simplify]: iters left: 3 (118 enodes) 63.416 * * [simplify]: iters left: 2 (171 enodes) 63.457 * * [simplify]: iters left: 1 (242 enodes) 63.532 * * [simplify]: Extracting #0: cost 1 inf + 0 63.532 * * [simplify]: Extracting #1: cost 6 inf + 0 63.532 * * [simplify]: Extracting #2: cost 41 inf + 0 63.532 * * [simplify]: Extracting #3: cost 56 inf + 213 63.533 * * [simplify]: Extracting #4: cost 20 inf + 2732 63.534 * * [simplify]: Extracting #5: cost 1 inf + 4576 63.536 * * [simplify]: Extracting #6: cost 0 inf + 4698 63.537 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 63.537 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (- (* -2 J) (/ (* U U) (/ J 1/4)))))) 63.537 * * * * [progress]: [ 84 / 85 ] simplifiying candidate # 63.537 * [simplify]: Simplifying (* -1 U) 63.537 * * [simplify]: iters left: 2 (3 enodes) 63.539 * * [simplify]: iters left: 1 (11 enodes) 63.540 * * [simplify]: Extracting #0: cost 1 inf + 0 63.540 * * [simplify]: Extracting #1: cost 4 inf + 0 63.540 * * [simplify]: Extracting #2: cost 0 inf + 84 63.540 * [simplify]: Simplified to (- U) 63.540 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (- U)))) 63.540 * * * * [progress]: [ 85 / 85 ] simplifiying candidate # 63.541 * [simplify]: Simplifying (* -1 U) 63.541 * * [simplify]: iters left: 2 (3 enodes) 63.542 * * [simplify]: iters left: 1 (11 enodes) 63.543 * * [simplify]: Extracting #0: cost 1 inf + 0 63.543 * * [simplify]: Extracting #1: cost 4 inf + 0 63.544 * * [simplify]: Extracting #2: cost 0 inf + 84 63.544 * [simplify]: Simplified to (- U) 63.544 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (- U)))) 63.544 * * * [progress]: adding candidates to table 64.965 * * [progress]: iteration 3 / 4 64.965 * * * [progress]: picking best candidate 65.031 * * * * [pick]: Picked # 65.031 * * * [progress]: localizing error 65.134 * * * [progress]: generating rewritten candidates 65.134 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 65.300 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1 1 1) 65.430 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1 1) 65.558 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 65.702 * * * [progress]: generating series expansions 65.702 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 65.702 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 65.702 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 65.703 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 65.703 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 65.703 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 65.703 * [taylor]: Taking taylor expansion of 1/4 in J 65.703 * [backup-simplify]: Simplify 1/4 into 1/4 65.703 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 65.703 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.703 * [taylor]: Taking taylor expansion of U in J 65.703 * [backup-simplify]: Simplify U into U 65.703 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 65.703 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 65.703 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 65.703 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 65.703 * [taylor]: Taking taylor expansion of 1/2 in J 65.703 * [backup-simplify]: Simplify 1/2 into 1/2 65.703 * [taylor]: Taking taylor expansion of K in J 65.703 * [backup-simplify]: Simplify K into K 65.703 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.703 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.703 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.703 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.703 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.704 * [backup-simplify]: Simplify (- 0) into 0 65.704 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.704 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.704 * [taylor]: Taking taylor expansion of J in J 65.704 * [backup-simplify]: Simplify 0 into 0 65.704 * [backup-simplify]: Simplify 1 into 1 65.704 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.704 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.705 * [backup-simplify]: Simplify (* 1 1) into 1 65.705 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 65.705 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 65.705 * [taylor]: Taking taylor expansion of 1 in J 65.705 * [backup-simplify]: Simplify 1 into 1 65.705 * [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))) 65.706 * [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))) 65.706 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 65.706 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.707 * [backup-simplify]: Simplify (+ 0) into 0 65.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 65.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 65.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.709 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 65.710 * [backup-simplify]: Simplify (- 0) into 0 65.710 * [backup-simplify]: Simplify (+ 0 0) into 0 65.710 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 65.711 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 65.711 * [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 65.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 65.712 * [backup-simplify]: Simplify (+ 0 0) into 0 65.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 65.713 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 65.713 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 65.713 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 65.713 * [taylor]: Taking taylor expansion of 1/4 in K 65.713 * [backup-simplify]: Simplify 1/4 into 1/4 65.713 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 65.713 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.713 * [taylor]: Taking taylor expansion of U in K 65.713 * [backup-simplify]: Simplify U into U 65.713 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 65.713 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 65.713 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 65.713 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 65.713 * [taylor]: Taking taylor expansion of 1/2 in K 65.713 * [backup-simplify]: Simplify 1/2 into 1/2 65.713 * [taylor]: Taking taylor expansion of K in K 65.713 * [backup-simplify]: Simplify 0 into 0 65.713 * [backup-simplify]: Simplify 1 into 1 65.713 * [backup-simplify]: Simplify (* 1/2 0) into 0 65.714 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 65.714 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.714 * [taylor]: Taking taylor expansion of J in K 65.714 * [backup-simplify]: Simplify J into J 65.714 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.715 * [backup-simplify]: Simplify (* 1 1) into 1 65.715 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.715 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 65.715 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 65.715 * [taylor]: Taking taylor expansion of 1 in K 65.715 * [backup-simplify]: Simplify 1 into 1 65.715 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 65.716 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 65.716 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 65.716 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.716 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.716 * [backup-simplify]: Simplify (+ 0) into 0 65.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 65.718 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 65.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 65.719 * [backup-simplify]: Simplify (+ 0 0) into 0 65.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 65.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 65.719 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 65.719 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 65.719 * [taylor]: Taking taylor expansion of 1/4 in U 65.719 * [backup-simplify]: Simplify 1/4 into 1/4 65.719 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 65.719 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.719 * [taylor]: Taking taylor expansion of U in U 65.719 * [backup-simplify]: Simplify 0 into 0 65.719 * [backup-simplify]: Simplify 1 into 1 65.719 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 65.720 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 65.720 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 65.720 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 65.720 * [taylor]: Taking taylor expansion of 1/2 in U 65.720 * [backup-simplify]: Simplify 1/2 into 1/2 65.720 * [taylor]: Taking taylor expansion of K in U 65.720 * [backup-simplify]: Simplify K into K 65.720 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.720 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.720 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.720 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.720 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.720 * [backup-simplify]: Simplify (- 0) into 0 65.721 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.721 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.721 * [taylor]: Taking taylor expansion of J in U 65.721 * [backup-simplify]: Simplify J into J 65.721 * [backup-simplify]: Simplify (* 1 1) into 1 65.721 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.721 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.721 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 65.722 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 65.722 * [taylor]: Taking taylor expansion of 1 in U 65.722 * [backup-simplify]: Simplify 1 into 1 65.722 * [backup-simplify]: Simplify (+ 0 1) into 1 65.723 * [backup-simplify]: Simplify (sqrt 1) into 1 65.723 * [backup-simplify]: Simplify (+ 0 0) into 0 65.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 65.724 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 65.724 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 65.724 * [taylor]: Taking taylor expansion of 1/4 in U 65.724 * [backup-simplify]: Simplify 1/4 into 1/4 65.724 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 65.724 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.724 * [taylor]: Taking taylor expansion of U in U 65.724 * [backup-simplify]: Simplify 0 into 0 65.724 * [backup-simplify]: Simplify 1 into 1 65.724 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 65.724 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 65.724 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 65.724 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 65.724 * [taylor]: Taking taylor expansion of 1/2 in U 65.724 * [backup-simplify]: Simplify 1/2 into 1/2 65.724 * [taylor]: Taking taylor expansion of K in U 65.724 * [backup-simplify]: Simplify K into K 65.724 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.724 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.724 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.724 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.724 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.725 * [backup-simplify]: Simplify (- 0) into 0 65.725 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.725 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.725 * [taylor]: Taking taylor expansion of J in U 65.725 * [backup-simplify]: Simplify J into J 65.725 * [backup-simplify]: Simplify (* 1 1) into 1 65.726 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.726 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.726 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 65.726 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 65.726 * [taylor]: Taking taylor expansion of 1 in U 65.726 * [backup-simplify]: Simplify 1 into 1 65.726 * [backup-simplify]: Simplify (+ 0 1) into 1 65.726 * [backup-simplify]: Simplify (sqrt 1) into 1 65.727 * [backup-simplify]: Simplify (+ 0 0) into 0 65.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.727 * [taylor]: Taking taylor expansion of 1 in K 65.727 * [backup-simplify]: Simplify 1 into 1 65.727 * [taylor]: Taking taylor expansion of 1 in J 65.727 * [backup-simplify]: Simplify 1 into 1 65.727 * [taylor]: Taking taylor expansion of 0 in K 65.727 * [backup-simplify]: Simplify 0 into 0 65.727 * [taylor]: Taking taylor expansion of 0 in J 65.727 * [backup-simplify]: Simplify 0 into 0 65.727 * [taylor]: Taking taylor expansion of 0 in J 65.727 * [backup-simplify]: Simplify 0 into 0 65.727 * [backup-simplify]: Simplify 1 into 1 65.728 * [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))) 65.728 * [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)))) 65.729 * [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))) 65.729 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 65.729 * [taylor]: Taking taylor expansion of 1/8 in K 65.729 * [backup-simplify]: Simplify 1/8 into 1/8 65.729 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 65.729 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 65.729 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 65.729 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 65.729 * [taylor]: Taking taylor expansion of 1/2 in K 65.729 * [backup-simplify]: Simplify 1/2 into 1/2 65.729 * [taylor]: Taking taylor expansion of K in K 65.729 * [backup-simplify]: Simplify 0 into 0 65.729 * [backup-simplify]: Simplify 1 into 1 65.729 * [backup-simplify]: Simplify (* 1/2 0) into 0 65.729 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 65.729 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.729 * [taylor]: Taking taylor expansion of J in K 65.730 * [backup-simplify]: Simplify J into J 65.730 * [backup-simplify]: Simplify (* 1 1) into 1 65.730 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.730 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 65.730 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 65.730 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 65.730 * [taylor]: Taking taylor expansion of 1/8 in J 65.730 * [backup-simplify]: Simplify 1/8 into 1/8 65.730 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.730 * [taylor]: Taking taylor expansion of J in J 65.730 * [backup-simplify]: Simplify 0 into 0 65.730 * [backup-simplify]: Simplify 1 into 1 65.730 * [backup-simplify]: Simplify (* 1 1) into 1 65.731 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 65.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 65.732 * [backup-simplify]: Simplify 0 into 0 65.732 * [taylor]: Taking taylor expansion of 0 in J 65.732 * [backup-simplify]: Simplify 0 into 0 65.732 * [taylor]: Taking taylor expansion of 0 in J 65.732 * [backup-simplify]: Simplify 0 into 0 65.732 * [backup-simplify]: Simplify 0 into 0 65.732 * [backup-simplify]: Simplify 0 into 0 65.732 * [backup-simplify]: Simplify 0 into 0 65.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.732 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.733 * [backup-simplify]: Simplify (+ 0) into 0 65.733 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 65.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 65.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.734 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 65.734 * [backup-simplify]: Simplify (- 0) into 0 65.734 * [backup-simplify]: Simplify (+ 0 0) into 0 65.735 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 65.735 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 65.735 * [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 65.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 65.736 * [backup-simplify]: Simplify (+ 0 0) into 0 65.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 65.736 * [taylor]: Taking taylor expansion of 0 in K 65.736 * [backup-simplify]: Simplify 0 into 0 65.736 * [taylor]: Taking taylor expansion of 0 in J 65.736 * [backup-simplify]: Simplify 0 into 0 65.736 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.736 * [backup-simplify]: Simplify (+ 0) into 0 65.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 65.737 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 65.737 * [taylor]: Taking taylor expansion of 0 in J 65.737 * [backup-simplify]: Simplify 0 into 0 65.737 * [taylor]: Taking taylor expansion of 0 in J 65.737 * [backup-simplify]: Simplify 0 into 0 65.737 * [taylor]: Taking taylor expansion of 0 in J 65.737 * [backup-simplify]: Simplify 0 into 0 65.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 65.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.738 * [backup-simplify]: Simplify 0 into 0 65.739 * [backup-simplify]: Simplify 0 into 0 65.739 * [backup-simplify]: Simplify 1 into 1 65.739 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 65.739 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 65.739 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 65.739 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 65.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 65.739 * [taylor]: Taking taylor expansion of 1/4 in J 65.739 * [backup-simplify]: Simplify 1/4 into 1/4 65.739 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 65.739 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.739 * [taylor]: Taking taylor expansion of J in J 65.739 * [backup-simplify]: Simplify 0 into 0 65.739 * [backup-simplify]: Simplify 1 into 1 65.739 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 65.739 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.739 * [taylor]: Taking taylor expansion of U in J 65.739 * [backup-simplify]: Simplify U into U 65.739 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 65.739 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.739 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.739 * [taylor]: Taking taylor expansion of 1/2 in J 65.739 * [backup-simplify]: Simplify 1/2 into 1/2 65.739 * [taylor]: Taking taylor expansion of K in J 65.739 * [backup-simplify]: Simplify K into K 65.739 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.739 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.739 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.739 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.739 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.740 * [backup-simplify]: Simplify (- 0) into 0 65.740 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.740 * [backup-simplify]: Simplify (* 1 1) into 1 65.740 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.740 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.740 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 65.740 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 65.740 * [taylor]: Taking taylor expansion of 1 in J 65.740 * [backup-simplify]: Simplify 1 into 1 65.741 * [backup-simplify]: Simplify (+ 0 1) into 1 65.741 * [backup-simplify]: Simplify (sqrt 1) into 1 65.741 * [backup-simplify]: Simplify (+ 0 0) into 0 65.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 65.742 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 65.742 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 65.742 * [taylor]: Taking taylor expansion of 1/4 in K 65.742 * [backup-simplify]: Simplify 1/4 into 1/4 65.742 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 65.742 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.742 * [taylor]: Taking taylor expansion of J in K 65.742 * [backup-simplify]: Simplify J into J 65.742 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 65.742 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.742 * [taylor]: Taking taylor expansion of U in K 65.742 * [backup-simplify]: Simplify U into U 65.742 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 65.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.742 * [taylor]: Taking taylor expansion of 1/2 in K 65.742 * [backup-simplify]: Simplify 1/2 into 1/2 65.742 * [taylor]: Taking taylor expansion of K in K 65.742 * [backup-simplify]: Simplify 0 into 0 65.742 * [backup-simplify]: Simplify 1 into 1 65.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.743 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.743 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.743 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.743 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.743 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 65.743 * [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))) 65.743 * [taylor]: Taking taylor expansion of 1 in K 65.743 * [backup-simplify]: Simplify 1 into 1 65.743 * [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)))) 65.743 * [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) 65.744 * [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)) 65.744 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.744 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.744 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.744 * [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 65.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 65.745 * [backup-simplify]: Simplify (+ 0 0) into 0 65.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 65.745 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 65.745 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 65.745 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 65.745 * [taylor]: Taking taylor expansion of 1/4 in U 65.745 * [backup-simplify]: Simplify 1/4 into 1/4 65.745 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 65.745 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.745 * [taylor]: Taking taylor expansion of J in U 65.745 * [backup-simplify]: Simplify J into J 65.745 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 65.745 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.745 * [taylor]: Taking taylor expansion of U in U 65.745 * [backup-simplify]: Simplify 0 into 0 65.745 * [backup-simplify]: Simplify 1 into 1 65.745 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 65.745 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 65.745 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 65.745 * [taylor]: Taking taylor expansion of 1/2 in U 65.745 * [backup-simplify]: Simplify 1/2 into 1/2 65.745 * [taylor]: Taking taylor expansion of K in U 65.745 * [backup-simplify]: Simplify K into K 65.746 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.746 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.746 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.746 * [backup-simplify]: Simplify (- 0) into 0 65.746 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.746 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.746 * [backup-simplify]: Simplify (* 1 1) into 1 65.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.747 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 65.747 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 65.747 * [taylor]: Taking taylor expansion of 1 in U 65.747 * [backup-simplify]: Simplify 1 into 1 65.747 * [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))) 65.747 * [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))) 65.747 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.747 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.747 * [backup-simplify]: Simplify (+ 0) into 0 65.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.748 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.749 * [backup-simplify]: Simplify (- 0) into 0 65.749 * [backup-simplify]: Simplify (+ 0 0) into 0 65.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.750 * [backup-simplify]: 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 65.750 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 65.751 * [backup-simplify]: Simplify (+ 0 0) into 0 65.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 65.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 65.751 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 65.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 65.751 * [taylor]: Taking taylor expansion of 1/4 in U 65.751 * [backup-simplify]: Simplify 1/4 into 1/4 65.751 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 65.751 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.751 * [taylor]: Taking taylor expansion of J in U 65.751 * [backup-simplify]: Simplify J into J 65.751 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 65.751 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.751 * [taylor]: Taking taylor expansion of U in U 65.751 * [backup-simplify]: Simplify 0 into 0 65.751 * [backup-simplify]: Simplify 1 into 1 65.751 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 65.751 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 65.751 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 65.751 * [taylor]: Taking taylor expansion of 1/2 in U 65.751 * [backup-simplify]: Simplify 1/2 into 1/2 65.751 * [taylor]: Taking taylor expansion of K in U 65.751 * [backup-simplify]: Simplify K into K 65.751 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.752 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.752 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.752 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.752 * [backup-simplify]: Simplify (- 0) into 0 65.752 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.752 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.752 * [backup-simplify]: Simplify (* 1 1) into 1 65.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.752 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 65.753 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 65.753 * [taylor]: Taking taylor expansion of 1 in U 65.753 * [backup-simplify]: Simplify 1 into 1 65.753 * [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))) 65.753 * [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))) 65.753 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.753 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.753 * [backup-simplify]: Simplify (+ 0) into 0 65.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.754 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.755 * [backup-simplify]: Simplify (- 0) into 0 65.756 * [backup-simplify]: Simplify (+ 0 0) into 0 65.756 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.758 * [backup-simplify]: 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 65.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 65.759 * [backup-simplify]: Simplify (+ 0 0) into 0 65.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 65.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 65.759 * [taylor]: Taking taylor expansion of 1/2 in K 65.759 * [backup-simplify]: Simplify 1/2 into 1/2 65.759 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 65.759 * [taylor]: Taking taylor expansion of J in K 65.759 * [backup-simplify]: Simplify J into J 65.759 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.759 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.759 * [taylor]: Taking taylor expansion of 1/2 in K 65.759 * [backup-simplify]: Simplify 1/2 into 1/2 65.759 * [taylor]: Taking taylor expansion of K in K 65.759 * [backup-simplify]: Simplify 0 into 0 65.759 * [backup-simplify]: Simplify 1 into 1 65.760 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.760 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.760 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 65.760 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 65.760 * [taylor]: Taking taylor expansion of 1/2 in J 65.760 * [backup-simplify]: Simplify 1/2 into 1/2 65.760 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 65.760 * [taylor]: Taking taylor expansion of J in J 65.760 * [backup-simplify]: Simplify 0 into 0 65.760 * [backup-simplify]: Simplify 1 into 1 65.760 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.760 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.760 * [taylor]: Taking taylor expansion of 1/2 in J 65.760 * [backup-simplify]: Simplify 1/2 into 1/2 65.760 * [taylor]: Taking taylor expansion of K in J 65.760 * [backup-simplify]: Simplify K into K 65.760 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.761 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.761 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.761 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.761 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.761 * [backup-simplify]: Simplify (- 0) into 0 65.761 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.761 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 65.761 * [taylor]: Taking taylor expansion of 0 in K 65.761 * [backup-simplify]: Simplify 0 into 0 65.762 * [taylor]: Taking taylor expansion of 0 in J 65.762 * [backup-simplify]: Simplify 0 into 0 65.762 * [backup-simplify]: Simplify 0 into 0 65.762 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 65.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 65.762 * [taylor]: Taking taylor expansion of 0 in J 65.762 * [backup-simplify]: Simplify 0 into 0 65.763 * [backup-simplify]: Simplify 0 into 0 65.763 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 65.763 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 65.763 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 65.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 65.765 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 65.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 65.766 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 65.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 65.767 * [backup-simplify]: Simplify (- 0) into 0 65.767 * [backup-simplify]: Simplify (+ 0 0) into 0 65.768 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 65.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 65.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 65.770 * [backup-simplify]: 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 65.771 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 65.771 * [backup-simplify]: Simplify (+ 0 1) into 1 65.772 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 65.772 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 65.772 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.772 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.772 * [taylor]: Taking taylor expansion of 1/2 in K 65.772 * [backup-simplify]: Simplify 1/2 into 1/2 65.772 * [taylor]: Taking taylor expansion of K in K 65.772 * [backup-simplify]: Simplify 0 into 0 65.772 * [backup-simplify]: Simplify 1 into 1 65.773 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.773 * [taylor]: Taking taylor expansion of J in K 65.773 * [backup-simplify]: Simplify J into J 65.773 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 65.773 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 65.773 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.773 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.773 * [taylor]: Taking taylor expansion of 1/2 in J 65.773 * [backup-simplify]: Simplify 1/2 into 1/2 65.773 * [taylor]: Taking taylor expansion of K in J 65.773 * [backup-simplify]: Simplify K into K 65.773 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.773 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.773 * [taylor]: Taking taylor expansion of J in J 65.773 * [backup-simplify]: Simplify 0 into 0 65.773 * [backup-simplify]: Simplify 1 into 1 65.773 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.773 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.774 * [backup-simplify]: Simplify (- 0) into 0 65.774 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.774 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.774 * [backup-simplify]: Simplify (+ 0) into 0 65.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.775 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.776 * [backup-simplify]: Simplify (- 0) into 0 65.777 * [backup-simplify]: Simplify (+ 0 0) into 0 65.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 65.778 * [backup-simplify]: Simplify 0 into 0 65.778 * [taylor]: Taking taylor expansion of 0 in J 65.778 * [backup-simplify]: Simplify 0 into 0 65.778 * [backup-simplify]: Simplify 0 into 0 65.779 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 65.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 65.779 * [taylor]: Taking taylor expansion of 0 in J 65.779 * [backup-simplify]: Simplify 0 into 0 65.779 * [backup-simplify]: Simplify 0 into 0 65.780 * [backup-simplify]: Simplify 0 into 0 65.780 * [backup-simplify]: Simplify 0 into 0 65.780 * [backup-simplify]: Simplify (+ 0) into 0 65.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.781 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.782 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.782 * [backup-simplify]: Simplify (- 0) into 0 65.782 * [backup-simplify]: Simplify (+ 0 0) into 0 65.783 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 65.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 65.787 * [backup-simplify]: Simplify 0 into 0 65.787 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 65.788 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 65.788 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 65.788 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 65.788 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 65.788 * [taylor]: Taking taylor expansion of 1 in J 65.788 * [backup-simplify]: Simplify 1 into 1 65.788 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 65.788 * [taylor]: Taking taylor expansion of 1/4 in J 65.788 * [backup-simplify]: Simplify 1/4 into 1/4 65.788 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 65.788 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.788 * [taylor]: Taking taylor expansion of J in J 65.788 * [backup-simplify]: Simplify 0 into 0 65.788 * [backup-simplify]: Simplify 1 into 1 65.788 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 65.788 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 65.788 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 65.788 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 65.788 * [taylor]: Taking taylor expansion of -1/2 in J 65.788 * [backup-simplify]: Simplify -1/2 into -1/2 65.788 * [taylor]: Taking taylor expansion of K in J 65.788 * [backup-simplify]: Simplify K into K 65.788 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.788 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.788 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.788 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.788 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.789 * [backup-simplify]: Simplify (- 0) into 0 65.789 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.789 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.789 * [taylor]: Taking taylor expansion of U in J 65.789 * [backup-simplify]: Simplify U into U 65.790 * [backup-simplify]: Simplify (* 1 1) into 1 65.790 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.790 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.790 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 65.790 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 65.791 * [backup-simplify]: Simplify (+ 1 0) into 1 65.791 * [backup-simplify]: Simplify (sqrt 1) into 1 65.792 * [backup-simplify]: Simplify (+ 0 0) into 0 65.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.792 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 65.792 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 65.792 * [taylor]: Taking taylor expansion of 1 in K 65.792 * [backup-simplify]: Simplify 1 into 1 65.792 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 65.792 * [taylor]: Taking taylor expansion of 1/4 in K 65.793 * [backup-simplify]: Simplify 1/4 into 1/4 65.793 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 65.793 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.793 * [taylor]: Taking taylor expansion of J in K 65.793 * [backup-simplify]: Simplify J into J 65.793 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 65.793 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 65.793 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 65.793 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 65.793 * [taylor]: Taking taylor expansion of -1/2 in K 65.793 * [backup-simplify]: Simplify -1/2 into -1/2 65.793 * [taylor]: Taking taylor expansion of K in K 65.793 * [backup-simplify]: Simplify 0 into 0 65.793 * [backup-simplify]: Simplify 1 into 1 65.793 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 65.793 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.793 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.793 * [taylor]: Taking taylor expansion of U in K 65.793 * [backup-simplify]: Simplify U into U 65.794 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.794 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.794 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.794 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 65.794 * [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))) 65.794 * [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)))) 65.795 * [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))))) 65.795 * [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)))))) 65.795 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.795 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 65.796 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 65.796 * [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 65.797 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 65.797 * [backup-simplify]: Simplify (+ 0 0) into 0 65.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 65.798 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 65.798 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 65.798 * [taylor]: Taking taylor expansion of 1 in U 65.798 * [backup-simplify]: Simplify 1 into 1 65.798 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 65.798 * [taylor]: Taking taylor expansion of 1/4 in U 65.798 * [backup-simplify]: Simplify 1/4 into 1/4 65.798 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 65.798 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.798 * [taylor]: Taking taylor expansion of J in U 65.798 * [backup-simplify]: Simplify J into J 65.798 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 65.798 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 65.798 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 65.798 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 65.798 * [taylor]: Taking taylor expansion of -1/2 in U 65.798 * [backup-simplify]: Simplify -1/2 into -1/2 65.798 * [taylor]: Taking taylor expansion of K in U 65.798 * [backup-simplify]: Simplify K into K 65.798 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.798 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.798 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.798 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.798 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.798 * [backup-simplify]: Simplify (- 0) into 0 65.798 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.798 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.798 * [taylor]: Taking taylor expansion of U in U 65.799 * [backup-simplify]: Simplify 0 into 0 65.799 * [backup-simplify]: Simplify 1 into 1 65.799 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.799 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.799 * [backup-simplify]: Simplify (* 1 1) into 1 65.799 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 65.799 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 65.799 * [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))) 65.799 * [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))) 65.799 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 65.799 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.800 * [backup-simplify]: Simplify (+ 0) into 0 65.800 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.802 * [backup-simplify]: Simplify (- 0) into 0 65.802 * [backup-simplify]: Simplify (+ 0 0) into 0 65.802 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 65.803 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 65.803 * [backup-simplify]: 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 65.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 65.803 * [backup-simplify]: Simplify (+ 0 0) into 0 65.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 65.804 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 65.804 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 65.804 * [taylor]: Taking taylor expansion of 1 in U 65.804 * [backup-simplify]: Simplify 1 into 1 65.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 65.804 * [taylor]: Taking taylor expansion of 1/4 in U 65.804 * [backup-simplify]: Simplify 1/4 into 1/4 65.804 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 65.804 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.804 * [taylor]: Taking taylor expansion of J in U 65.804 * [backup-simplify]: Simplify J into J 65.804 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 65.804 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 65.804 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 65.804 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 65.804 * [taylor]: Taking taylor expansion of -1/2 in U 65.804 * [backup-simplify]: Simplify -1/2 into -1/2 65.804 * [taylor]: Taking taylor expansion of K in U 65.804 * [backup-simplify]: Simplify K into K 65.804 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.804 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.804 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.804 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.804 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.804 * [backup-simplify]: Simplify (- 0) into 0 65.804 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.804 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.804 * [taylor]: Taking taylor expansion of U in U 65.804 * [backup-simplify]: Simplify 0 into 0 65.804 * [backup-simplify]: Simplify 1 into 1 65.804 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.805 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.805 * [backup-simplify]: Simplify (* 1 1) into 1 65.805 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 65.805 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 65.805 * [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))) 65.805 * [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))) 65.805 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 65.805 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.806 * [backup-simplify]: Simplify (+ 0) into 0 65.806 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.806 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.807 * [backup-simplify]: Simplify (- 0) into 0 65.808 * [backup-simplify]: Simplify (+ 0 0) into 0 65.808 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 65.808 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 65.808 * [backup-simplify]: 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 65.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 65.809 * [backup-simplify]: Simplify (+ 0 0) into 0 65.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 65.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 65.809 * [taylor]: Taking taylor expansion of 1/2 in K 65.809 * [backup-simplify]: Simplify 1/2 into 1/2 65.809 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 65.809 * [taylor]: Taking taylor expansion of J in K 65.809 * [backup-simplify]: Simplify J into J 65.809 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 65.809 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 65.809 * [taylor]: Taking taylor expansion of -1/2 in K 65.809 * [backup-simplify]: Simplify -1/2 into -1/2 65.809 * [taylor]: Taking taylor expansion of K in K 65.809 * [backup-simplify]: Simplify 0 into 0 65.809 * [backup-simplify]: Simplify 1 into 1 65.810 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 65.810 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.810 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 65.810 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 65.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 65.810 * [taylor]: Taking taylor expansion of 1/2 in J 65.810 * [backup-simplify]: Simplify 1/2 into 1/2 65.810 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 65.810 * [taylor]: Taking taylor expansion of J in J 65.810 * [backup-simplify]: Simplify 0 into 0 65.810 * [backup-simplify]: Simplify 1 into 1 65.810 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 65.810 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 65.810 * [taylor]: Taking taylor expansion of -1/2 in J 65.810 * [backup-simplify]: Simplify -1/2 into -1/2 65.810 * [taylor]: Taking taylor expansion of K in J 65.810 * [backup-simplify]: Simplify K into K 65.810 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.810 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.810 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.810 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.810 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.810 * [backup-simplify]: Simplify (- 0) into 0 65.811 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.811 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 65.811 * [taylor]: Taking taylor expansion of 0 in K 65.811 * [backup-simplify]: Simplify 0 into 0 65.811 * [taylor]: Taking taylor expansion of 0 in J 65.811 * [backup-simplify]: Simplify 0 into 0 65.811 * [backup-simplify]: Simplify 0 into 0 65.811 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 65.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 65.811 * [taylor]: Taking taylor expansion of 0 in J 65.811 * [backup-simplify]: Simplify 0 into 0 65.811 * [backup-simplify]: Simplify 0 into 0 65.811 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 65.811 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 65.812 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 65.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 65.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 65.813 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 65.813 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 65.814 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 65.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 65.814 * [backup-simplify]: Simplify (- 0) into 0 65.815 * [backup-simplify]: Simplify (+ 0 0) into 0 65.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 65.815 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 65.816 * [backup-simplify]: 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 65.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 65.816 * [backup-simplify]: Simplify (+ 1 0) into 1 65.817 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 65.817 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 65.817 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 65.817 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 65.817 * [taylor]: Taking taylor expansion of -1/2 in K 65.817 * [backup-simplify]: Simplify -1/2 into -1/2 65.817 * [taylor]: Taking taylor expansion of K in K 65.817 * [backup-simplify]: Simplify 0 into 0 65.817 * [backup-simplify]: Simplify 1 into 1 65.817 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 65.817 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.817 * [taylor]: Taking taylor expansion of J in K 65.817 * [backup-simplify]: Simplify J into J 65.817 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 65.817 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 65.818 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 65.818 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 65.818 * [taylor]: Taking taylor expansion of -1/2 in J 65.818 * [backup-simplify]: Simplify -1/2 into -1/2 65.818 * [taylor]: Taking taylor expansion of K in J 65.818 * [backup-simplify]: Simplify K into K 65.818 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.818 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.818 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.818 * [taylor]: Taking taylor expansion of J in J 65.818 * [backup-simplify]: Simplify 0 into 0 65.818 * [backup-simplify]: Simplify 1 into 1 65.818 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.818 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.818 * [backup-simplify]: Simplify (- 0) into 0 65.818 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.818 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.818 * [backup-simplify]: Simplify (+ 0) into 0 65.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.820 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.820 * [backup-simplify]: Simplify (- 0) into 0 65.820 * [backup-simplify]: Simplify (+ 0 0) into 0 65.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 65.821 * [backup-simplify]: Simplify 0 into 0 65.821 * [taylor]: Taking taylor expansion of 0 in J 65.821 * [backup-simplify]: Simplify 0 into 0 65.821 * [backup-simplify]: Simplify 0 into 0 65.821 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 65.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 65.821 * [taylor]: Taking taylor expansion of 0 in J 65.821 * [backup-simplify]: Simplify 0 into 0 65.821 * [backup-simplify]: Simplify 0 into 0 65.821 * [backup-simplify]: Simplify 0 into 0 65.822 * [backup-simplify]: Simplify 0 into 0 65.822 * [backup-simplify]: Simplify (+ 0) into 0 65.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.822 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.823 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.823 * [backup-simplify]: Simplify (- 0) into 0 65.823 * [backup-simplify]: Simplify (+ 0 0) into 0 65.824 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 65.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 65.824 * [backup-simplify]: Simplify 0 into 0 65.824 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 65.824 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1 1 1) 65.824 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 65.824 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 65.824 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 65.824 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 65.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 65.825 * [taylor]: Taking taylor expansion of 1/4 in J 65.825 * [backup-simplify]: Simplify 1/4 into 1/4 65.825 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 65.825 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.825 * [taylor]: Taking taylor expansion of U in J 65.825 * [backup-simplify]: Simplify U into U 65.825 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 65.825 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 65.825 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 65.825 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 65.825 * [taylor]: Taking taylor expansion of 1/2 in J 65.825 * [backup-simplify]: Simplify 1/2 into 1/2 65.825 * [taylor]: Taking taylor expansion of K in J 65.825 * [backup-simplify]: Simplify K into K 65.825 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.825 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.825 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.825 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.825 * [backup-simplify]: Simplify (- 0) into 0 65.825 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.825 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.825 * [taylor]: Taking taylor expansion of J in J 65.825 * [backup-simplify]: Simplify 0 into 0 65.825 * [backup-simplify]: Simplify 1 into 1 65.825 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.826 * [backup-simplify]: Simplify (* 1 1) into 1 65.826 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 65.826 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 65.826 * [taylor]: Taking taylor expansion of 1 in J 65.826 * [backup-simplify]: Simplify 1 into 1 65.826 * [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))) 65.826 * [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))) 65.826 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 65.826 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.827 * [backup-simplify]: Simplify (+ 0) into 0 65.827 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 65.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 65.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.828 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 65.829 * [backup-simplify]: Simplify (- 0) into 0 65.829 * [backup-simplify]: Simplify (+ 0 0) into 0 65.829 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 65.829 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 65.830 * [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 65.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 65.830 * [backup-simplify]: Simplify (+ 0 0) into 0 65.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 65.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 65.831 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 65.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 65.831 * [taylor]: Taking taylor expansion of 1/4 in K 65.831 * [backup-simplify]: Simplify 1/4 into 1/4 65.831 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 65.831 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.831 * [taylor]: Taking taylor expansion of U in K 65.831 * [backup-simplify]: Simplify U into U 65.831 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 65.831 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 65.831 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 65.831 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 65.831 * [taylor]: Taking taylor expansion of 1/2 in K 65.831 * [backup-simplify]: Simplify 1/2 into 1/2 65.831 * [taylor]: Taking taylor expansion of K in K 65.831 * [backup-simplify]: Simplify 0 into 0 65.831 * [backup-simplify]: Simplify 1 into 1 65.831 * [backup-simplify]: Simplify (* 1/2 0) into 0 65.832 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 65.832 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.832 * [taylor]: Taking taylor expansion of J in K 65.832 * [backup-simplify]: Simplify J into J 65.832 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.832 * [backup-simplify]: Simplify (* 1 1) into 1 65.832 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.832 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 65.832 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 65.832 * [taylor]: Taking taylor expansion of 1 in K 65.832 * [backup-simplify]: Simplify 1 into 1 65.832 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 65.832 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 65.832 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 65.832 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.833 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.833 * [backup-simplify]: Simplify (+ 0) into 0 65.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 65.834 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 65.834 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 65.834 * [backup-simplify]: Simplify (+ 0 0) into 0 65.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 65.834 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 65.834 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 65.834 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 65.834 * [taylor]: Taking taylor expansion of 1/4 in U 65.834 * [backup-simplify]: Simplify 1/4 into 1/4 65.835 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 65.835 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.835 * [taylor]: Taking taylor expansion of U in U 65.835 * [backup-simplify]: Simplify 0 into 0 65.835 * [backup-simplify]: Simplify 1 into 1 65.835 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 65.835 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 65.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 65.835 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 65.835 * [taylor]: Taking taylor expansion of 1/2 in U 65.835 * [backup-simplify]: Simplify 1/2 into 1/2 65.835 * [taylor]: Taking taylor expansion of K in U 65.835 * [backup-simplify]: Simplify K into K 65.835 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.835 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.835 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.835 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.835 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.835 * [backup-simplify]: Simplify (- 0) into 0 65.835 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.835 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.835 * [taylor]: Taking taylor expansion of J in U 65.835 * [backup-simplify]: Simplify J into J 65.836 * [backup-simplify]: Simplify (* 1 1) into 1 65.836 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.836 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.836 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 65.836 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 65.836 * [taylor]: Taking taylor expansion of 1 in U 65.836 * [backup-simplify]: Simplify 1 into 1 65.836 * [backup-simplify]: Simplify (+ 0 1) into 1 65.837 * [backup-simplify]: Simplify (sqrt 1) into 1 65.837 * [backup-simplify]: Simplify (+ 0 0) into 0 65.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.837 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 65.837 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 65.837 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 65.837 * [taylor]: Taking taylor expansion of 1/4 in U 65.837 * [backup-simplify]: Simplify 1/4 into 1/4 65.837 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 65.837 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.837 * [taylor]: Taking taylor expansion of U in U 65.837 * [backup-simplify]: Simplify 0 into 0 65.837 * [backup-simplify]: Simplify 1 into 1 65.837 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 65.837 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 65.837 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 65.837 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 65.837 * [taylor]: Taking taylor expansion of 1/2 in U 65.837 * [backup-simplify]: Simplify 1/2 into 1/2 65.837 * [taylor]: Taking taylor expansion of K in U 65.837 * [backup-simplify]: Simplify K into K 65.837 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.838 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.838 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.838 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.838 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.838 * [backup-simplify]: Simplify (- 0) into 0 65.838 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.838 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.838 * [taylor]: Taking taylor expansion of J in U 65.838 * [backup-simplify]: Simplify J into J 65.838 * [backup-simplify]: Simplify (* 1 1) into 1 65.838 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.838 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.838 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 65.839 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 65.839 * [taylor]: Taking taylor expansion of 1 in U 65.839 * [backup-simplify]: Simplify 1 into 1 65.839 * [backup-simplify]: Simplify (+ 0 1) into 1 65.839 * [backup-simplify]: Simplify (sqrt 1) into 1 65.839 * [backup-simplify]: Simplify (+ 0 0) into 0 65.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.840 * [taylor]: Taking taylor expansion of 1 in K 65.840 * [backup-simplify]: Simplify 1 into 1 65.840 * [taylor]: Taking taylor expansion of 1 in J 65.840 * [backup-simplify]: Simplify 1 into 1 65.840 * [taylor]: Taking taylor expansion of 0 in K 65.840 * [backup-simplify]: Simplify 0 into 0 65.840 * [taylor]: Taking taylor expansion of 0 in J 65.840 * [backup-simplify]: Simplify 0 into 0 65.840 * [taylor]: Taking taylor expansion of 0 in J 65.840 * [backup-simplify]: Simplify 0 into 0 65.840 * [backup-simplify]: Simplify 1 into 1 65.840 * [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))) 65.840 * [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)))) 65.841 * [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))) 65.841 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 65.841 * [taylor]: Taking taylor expansion of 1/8 in K 65.841 * [backup-simplify]: Simplify 1/8 into 1/8 65.841 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 65.841 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 65.841 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 65.841 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 65.841 * [taylor]: Taking taylor expansion of 1/2 in K 65.841 * [backup-simplify]: Simplify 1/2 into 1/2 65.841 * [taylor]: Taking taylor expansion of K in K 65.841 * [backup-simplify]: Simplify 0 into 0 65.841 * [backup-simplify]: Simplify 1 into 1 65.842 * [backup-simplify]: Simplify (* 1/2 0) into 0 65.842 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 65.842 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.842 * [taylor]: Taking taylor expansion of J in K 65.842 * [backup-simplify]: Simplify J into J 65.843 * [backup-simplify]: Simplify (* 1 1) into 1 65.843 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.843 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 65.843 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 65.843 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 65.843 * [taylor]: Taking taylor expansion of 1/8 in J 65.843 * [backup-simplify]: Simplify 1/8 into 1/8 65.843 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.843 * [taylor]: Taking taylor expansion of J in J 65.843 * [backup-simplify]: Simplify 0 into 0 65.843 * [backup-simplify]: Simplify 1 into 1 65.844 * [backup-simplify]: Simplify (* 1 1) into 1 65.844 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 65.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 65.845 * [backup-simplify]: Simplify 0 into 0 65.845 * [taylor]: Taking taylor expansion of 0 in J 65.846 * [backup-simplify]: Simplify 0 into 0 65.846 * [taylor]: Taking taylor expansion of 0 in J 65.846 * [backup-simplify]: Simplify 0 into 0 65.846 * [backup-simplify]: Simplify 0 into 0 65.846 * [backup-simplify]: Simplify 0 into 0 65.846 * [backup-simplify]: Simplify 0 into 0 65.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.847 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.847 * [backup-simplify]: Simplify (+ 0) into 0 65.847 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 65.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 65.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.849 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 65.849 * [backup-simplify]: Simplify (- 0) into 0 65.850 * [backup-simplify]: Simplify (+ 0 0) into 0 65.850 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 65.850 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 65.851 * [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 65.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 65.852 * [backup-simplify]: Simplify (+ 0 0) into 0 65.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 65.852 * [taylor]: Taking taylor expansion of 0 in K 65.852 * [backup-simplify]: Simplify 0 into 0 65.852 * [taylor]: Taking taylor expansion of 0 in J 65.853 * [backup-simplify]: Simplify 0 into 0 65.853 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.853 * [backup-simplify]: Simplify (+ 0) into 0 65.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 65.854 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 65.854 * [taylor]: Taking taylor expansion of 0 in J 65.854 * [backup-simplify]: Simplify 0 into 0 65.854 * [taylor]: Taking taylor expansion of 0 in J 65.855 * [backup-simplify]: Simplify 0 into 0 65.855 * [taylor]: Taking taylor expansion of 0 in J 65.855 * [backup-simplify]: Simplify 0 into 0 65.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 65.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.857 * [backup-simplify]: Simplify 0 into 0 65.857 * [backup-simplify]: Simplify 0 into 0 65.857 * [backup-simplify]: Simplify 1 into 1 65.857 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 65.857 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 65.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 65.858 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 65.858 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 65.858 * [taylor]: Taking taylor expansion of 1/4 in J 65.858 * [backup-simplify]: Simplify 1/4 into 1/4 65.858 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 65.858 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.858 * [taylor]: Taking taylor expansion of J in J 65.858 * [backup-simplify]: Simplify 0 into 0 65.858 * [backup-simplify]: Simplify 1 into 1 65.858 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 65.858 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.858 * [taylor]: Taking taylor expansion of U in J 65.858 * [backup-simplify]: Simplify U into U 65.858 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 65.858 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.858 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.858 * [taylor]: Taking taylor expansion of 1/2 in J 65.858 * [backup-simplify]: Simplify 1/2 into 1/2 65.858 * [taylor]: Taking taylor expansion of K in J 65.858 * [backup-simplify]: Simplify K into K 65.858 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.858 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.858 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.858 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.859 * [backup-simplify]: Simplify (- 0) into 0 65.859 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.859 * [backup-simplify]: Simplify (* 1 1) into 1 65.859 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.860 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.860 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 65.860 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 65.860 * [taylor]: Taking taylor expansion of 1 in J 65.860 * [backup-simplify]: Simplify 1 into 1 65.861 * [backup-simplify]: Simplify (+ 0 1) into 1 65.861 * [backup-simplify]: Simplify (sqrt 1) into 1 65.862 * [backup-simplify]: Simplify (+ 0 0) into 0 65.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.863 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 65.863 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 65.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 65.863 * [taylor]: Taking taylor expansion of 1/4 in K 65.863 * [backup-simplify]: Simplify 1/4 into 1/4 65.863 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 65.863 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.863 * [taylor]: Taking taylor expansion of J in K 65.863 * [backup-simplify]: Simplify J into J 65.863 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 65.863 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.863 * [taylor]: Taking taylor expansion of U in K 65.863 * [backup-simplify]: Simplify U into U 65.863 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 65.863 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.863 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.863 * [taylor]: Taking taylor expansion of 1/2 in K 65.863 * [backup-simplify]: Simplify 1/2 into 1/2 65.863 * [taylor]: Taking taylor expansion of K in K 65.863 * [backup-simplify]: Simplify 0 into 0 65.863 * [backup-simplify]: Simplify 1 into 1 65.864 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.864 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.864 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.864 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.864 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.864 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 65.865 * [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))) 65.865 * [taylor]: Taking taylor expansion of 1 in K 65.865 * [backup-simplify]: Simplify 1 into 1 65.865 * [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)))) 65.865 * [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) 65.866 * [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)) 65.866 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.866 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.866 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.867 * [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 65.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 65.868 * [backup-simplify]: Simplify (+ 0 0) into 0 65.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 65.868 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 65.868 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 65.868 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 65.868 * [taylor]: Taking taylor expansion of 1/4 in U 65.868 * [backup-simplify]: Simplify 1/4 into 1/4 65.869 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 65.869 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.869 * [taylor]: Taking taylor expansion of J in U 65.869 * [backup-simplify]: Simplify J into J 65.869 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 65.869 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.869 * [taylor]: Taking taylor expansion of U in U 65.869 * [backup-simplify]: Simplify 0 into 0 65.869 * [backup-simplify]: Simplify 1 into 1 65.869 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 65.869 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 65.869 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 65.869 * [taylor]: Taking taylor expansion of 1/2 in U 65.869 * [backup-simplify]: Simplify 1/2 into 1/2 65.869 * [taylor]: Taking taylor expansion of K in U 65.869 * [backup-simplify]: Simplify K into K 65.869 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.869 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.869 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.869 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.869 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.870 * [backup-simplify]: Simplify (- 0) into 0 65.870 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.870 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.870 * [backup-simplify]: Simplify (* 1 1) into 1 65.870 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.870 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 65.871 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 65.871 * [taylor]: Taking taylor expansion of 1 in U 65.871 * [backup-simplify]: Simplify 1 into 1 65.871 * [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))) 65.871 * [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))) 65.871 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.871 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.872 * [backup-simplify]: Simplify (+ 0) into 0 65.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.874 * [backup-simplify]: Simplify (- 0) into 0 65.874 * [backup-simplify]: Simplify (+ 0 0) into 0 65.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.876 * [backup-simplify]: 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 65.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 65.877 * [backup-simplify]: Simplify (+ 0 0) into 0 65.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 65.877 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 65.877 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 65.878 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 65.878 * [taylor]: Taking taylor expansion of 1/4 in U 65.878 * [backup-simplify]: Simplify 1/4 into 1/4 65.878 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 65.878 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.878 * [taylor]: Taking taylor expansion of J in U 65.878 * [backup-simplify]: Simplify J into J 65.878 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 65.878 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.878 * [taylor]: Taking taylor expansion of U in U 65.878 * [backup-simplify]: Simplify 0 into 0 65.878 * [backup-simplify]: Simplify 1 into 1 65.878 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 65.878 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 65.878 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 65.878 * [taylor]: Taking taylor expansion of 1/2 in U 65.878 * [backup-simplify]: Simplify 1/2 into 1/2 65.878 * [taylor]: Taking taylor expansion of K in U 65.878 * [backup-simplify]: Simplify K into K 65.878 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.878 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.878 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.878 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.878 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.879 * [backup-simplify]: Simplify (- 0) into 0 65.879 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.879 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.879 * [backup-simplify]: Simplify (* 1 1) into 1 65.879 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.880 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 65.880 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 65.880 * [taylor]: Taking taylor expansion of 1 in U 65.880 * [backup-simplify]: Simplify 1 into 1 65.880 * [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))) 65.880 * [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))) 65.880 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.881 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.881 * [backup-simplify]: Simplify (+ 0) into 0 65.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.883 * [backup-simplify]: Simplify (- 0) into 0 65.883 * [backup-simplify]: Simplify (+ 0 0) into 0 65.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.885 * [backup-simplify]: 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 65.886 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 65.886 * [backup-simplify]: Simplify (+ 0 0) into 0 65.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 65.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 65.886 * [taylor]: Taking taylor expansion of 1/2 in K 65.886 * [backup-simplify]: Simplify 1/2 into 1/2 65.886 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 65.886 * [taylor]: Taking taylor expansion of J in K 65.886 * [backup-simplify]: Simplify J into J 65.886 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.886 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.886 * [taylor]: Taking taylor expansion of 1/2 in K 65.886 * [backup-simplify]: Simplify 1/2 into 1/2 65.886 * [taylor]: Taking taylor expansion of K in K 65.886 * [backup-simplify]: Simplify 0 into 0 65.886 * [backup-simplify]: Simplify 1 into 1 65.887 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.887 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.887 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 65.887 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 65.887 * [taylor]: Taking taylor expansion of 1/2 in J 65.887 * [backup-simplify]: Simplify 1/2 into 1/2 65.887 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 65.887 * [taylor]: Taking taylor expansion of J in J 65.887 * [backup-simplify]: Simplify 0 into 0 65.887 * [backup-simplify]: Simplify 1 into 1 65.887 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.887 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.887 * [taylor]: Taking taylor expansion of 1/2 in J 65.887 * [backup-simplify]: Simplify 1/2 into 1/2 65.887 * [taylor]: Taking taylor expansion of K in J 65.887 * [backup-simplify]: Simplify K into K 65.887 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.887 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.887 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.887 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.887 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.887 * [backup-simplify]: Simplify (- 0) into 0 65.888 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.888 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 65.888 * [taylor]: Taking taylor expansion of 0 in K 65.888 * [backup-simplify]: Simplify 0 into 0 65.888 * [taylor]: Taking taylor expansion of 0 in J 65.888 * [backup-simplify]: Simplify 0 into 0 65.888 * [backup-simplify]: Simplify 0 into 0 65.888 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 65.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 65.888 * [taylor]: Taking taylor expansion of 0 in J 65.888 * [backup-simplify]: Simplify 0 into 0 65.888 * [backup-simplify]: Simplify 0 into 0 65.888 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 65.888 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 65.889 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 65.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 65.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 65.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 65.890 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 65.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 65.891 * [backup-simplify]: Simplify (- 0) into 0 65.891 * [backup-simplify]: Simplify (+ 0 0) into 0 65.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 65.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 65.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 65.893 * [backup-simplify]: 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 65.893 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 65.893 * [backup-simplify]: Simplify (+ 0 1) into 1 65.894 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 65.894 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 65.894 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.894 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.894 * [taylor]: Taking taylor expansion of 1/2 in K 65.894 * [backup-simplify]: Simplify 1/2 into 1/2 65.894 * [taylor]: Taking taylor expansion of K in K 65.894 * [backup-simplify]: Simplify 0 into 0 65.894 * [backup-simplify]: Simplify 1 into 1 65.894 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.894 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.894 * [taylor]: Taking taylor expansion of J in K 65.894 * [backup-simplify]: Simplify J into J 65.895 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 65.895 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 65.895 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.895 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.895 * [taylor]: Taking taylor expansion of 1/2 in J 65.895 * [backup-simplify]: Simplify 1/2 into 1/2 65.895 * [taylor]: Taking taylor expansion of K in J 65.895 * [backup-simplify]: Simplify K into K 65.895 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.895 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.895 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.895 * [taylor]: Taking taylor expansion of J in J 65.895 * [backup-simplify]: Simplify 0 into 0 65.895 * [backup-simplify]: Simplify 1 into 1 65.895 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.895 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.895 * [backup-simplify]: Simplify (- 0) into 0 65.895 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.895 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.896 * [backup-simplify]: Simplify (+ 0) into 0 65.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.896 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.897 * [backup-simplify]: Simplify (- 0) into 0 65.897 * [backup-simplify]: Simplify (+ 0 0) into 0 65.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 65.898 * [backup-simplify]: Simplify 0 into 0 65.898 * [taylor]: Taking taylor expansion of 0 in J 65.898 * [backup-simplify]: Simplify 0 into 0 65.898 * [backup-simplify]: Simplify 0 into 0 65.898 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 65.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 65.899 * [taylor]: Taking taylor expansion of 0 in J 65.899 * [backup-simplify]: Simplify 0 into 0 65.899 * [backup-simplify]: Simplify 0 into 0 65.899 * [backup-simplify]: Simplify 0 into 0 65.899 * [backup-simplify]: Simplify 0 into 0 65.899 * [backup-simplify]: Simplify (+ 0) into 0 65.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.903 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.903 * [backup-simplify]: Simplify (- 0) into 0 65.904 * [backup-simplify]: Simplify (+ 0 0) into 0 65.904 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 65.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 65.904 * [backup-simplify]: Simplify 0 into 0 65.904 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 65.905 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 65.905 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 65.905 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 65.905 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 65.905 * [taylor]: Taking taylor expansion of 1 in J 65.905 * [backup-simplify]: Simplify 1 into 1 65.905 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 65.905 * [taylor]: Taking taylor expansion of 1/4 in J 65.905 * [backup-simplify]: Simplify 1/4 into 1/4 65.905 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 65.905 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.905 * [taylor]: Taking taylor expansion of J in J 65.905 * [backup-simplify]: Simplify 0 into 0 65.905 * [backup-simplify]: Simplify 1 into 1 65.905 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 65.905 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 65.905 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 65.905 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 65.905 * [taylor]: Taking taylor expansion of -1/2 in J 65.905 * [backup-simplify]: Simplify -1/2 into -1/2 65.905 * [taylor]: Taking taylor expansion of K in J 65.905 * [backup-simplify]: Simplify K into K 65.905 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.905 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.905 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.905 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.906 * [backup-simplify]: Simplify (- 0) into 0 65.906 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.906 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.906 * [taylor]: Taking taylor expansion of U in J 65.906 * [backup-simplify]: Simplify U into U 65.906 * [backup-simplify]: Simplify (* 1 1) into 1 65.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.906 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.906 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 65.906 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 65.907 * [backup-simplify]: Simplify (+ 1 0) into 1 65.907 * [backup-simplify]: Simplify (sqrt 1) into 1 65.907 * [backup-simplify]: Simplify (+ 0 0) into 0 65.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.907 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 65.907 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 65.907 * [taylor]: Taking taylor expansion of 1 in K 65.907 * [backup-simplify]: Simplify 1 into 1 65.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 65.908 * [taylor]: Taking taylor expansion of 1/4 in K 65.908 * [backup-simplify]: Simplify 1/4 into 1/4 65.908 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 65.908 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.908 * [taylor]: Taking taylor expansion of J in K 65.908 * [backup-simplify]: Simplify J into J 65.908 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 65.908 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 65.908 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 65.908 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 65.908 * [taylor]: Taking taylor expansion of -1/2 in K 65.908 * [backup-simplify]: Simplify -1/2 into -1/2 65.908 * [taylor]: Taking taylor expansion of K in K 65.908 * [backup-simplify]: Simplify 0 into 0 65.908 * [backup-simplify]: Simplify 1 into 1 65.908 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 65.908 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.908 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.908 * [taylor]: Taking taylor expansion of U in K 65.908 * [backup-simplify]: Simplify U into U 65.908 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.908 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.908 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 65.908 * [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))) 65.909 * [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)))) 65.909 * [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))))) 65.909 * [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)))))) 65.909 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.909 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 65.909 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 65.910 * [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 65.910 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 65.910 * [backup-simplify]: Simplify (+ 0 0) into 0 65.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 65.911 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 65.911 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 65.911 * [taylor]: Taking taylor expansion of 1 in U 65.911 * [backup-simplify]: Simplify 1 into 1 65.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 65.911 * [taylor]: Taking taylor expansion of 1/4 in U 65.911 * [backup-simplify]: Simplify 1/4 into 1/4 65.911 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 65.911 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.911 * [taylor]: Taking taylor expansion of J in U 65.911 * [backup-simplify]: Simplify J into J 65.911 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 65.911 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 65.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 65.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 65.911 * [taylor]: Taking taylor expansion of -1/2 in U 65.911 * [backup-simplify]: Simplify -1/2 into -1/2 65.911 * [taylor]: Taking taylor expansion of K in U 65.911 * [backup-simplify]: Simplify K into K 65.911 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.911 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.911 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.911 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.911 * [backup-simplify]: Simplify (- 0) into 0 65.911 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.911 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.911 * [taylor]: Taking taylor expansion of U in U 65.911 * [backup-simplify]: Simplify 0 into 0 65.911 * [backup-simplify]: Simplify 1 into 1 65.911 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.912 * [backup-simplify]: Simplify (* 1 1) into 1 65.912 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 65.912 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 65.912 * [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))) 65.913 * [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))) 65.913 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 65.913 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.913 * [backup-simplify]: Simplify (+ 0) into 0 65.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.915 * [backup-simplify]: Simplify (- 0) into 0 65.915 * [backup-simplify]: Simplify (+ 0 0) into 0 65.915 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 65.916 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 65.916 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 65.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 65.916 * [backup-simplify]: Simplify (+ 0 0) into 0 65.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 65.917 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 65.917 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 65.917 * [taylor]: Taking taylor expansion of 1 in U 65.917 * [backup-simplify]: Simplify 1 into 1 65.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 65.917 * [taylor]: Taking taylor expansion of 1/4 in U 65.917 * [backup-simplify]: Simplify 1/4 into 1/4 65.917 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 65.917 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.917 * [taylor]: Taking taylor expansion of J in U 65.917 * [backup-simplify]: Simplify J into J 65.917 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 65.917 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 65.917 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 65.917 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 65.917 * [taylor]: Taking taylor expansion of -1/2 in U 65.917 * [backup-simplify]: Simplify -1/2 into -1/2 65.917 * [taylor]: Taking taylor expansion of K in U 65.917 * [backup-simplify]: Simplify K into K 65.917 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.917 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.917 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.917 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.917 * [backup-simplify]: Simplify (- 0) into 0 65.917 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.917 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.917 * [taylor]: Taking taylor expansion of U in U 65.917 * [backup-simplify]: Simplify 0 into 0 65.917 * [backup-simplify]: Simplify 1 into 1 65.917 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 65.918 * [backup-simplify]: Simplify (* 1 1) into 1 65.918 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 65.918 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 65.918 * [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))) 65.918 * [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))) 65.918 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 65.918 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.919 * [backup-simplify]: Simplify (+ 0) into 0 65.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.920 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.920 * [backup-simplify]: Simplify (- 0) into 0 65.921 * [backup-simplify]: Simplify (+ 0 0) into 0 65.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 65.921 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 65.921 * [backup-simplify]: 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 65.922 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 65.922 * [backup-simplify]: Simplify (+ 0 0) into 0 65.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 65.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 65.922 * [taylor]: Taking taylor expansion of 1/2 in K 65.922 * [backup-simplify]: Simplify 1/2 into 1/2 65.922 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 65.922 * [taylor]: Taking taylor expansion of J in K 65.922 * [backup-simplify]: Simplify J into J 65.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 65.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 65.922 * [taylor]: Taking taylor expansion of -1/2 in K 65.922 * [backup-simplify]: Simplify -1/2 into -1/2 65.922 * [taylor]: Taking taylor expansion of K in K 65.922 * [backup-simplify]: Simplify 0 into 0 65.922 * [backup-simplify]: Simplify 1 into 1 65.923 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 65.923 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.923 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 65.923 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 65.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 65.923 * [taylor]: Taking taylor expansion of 1/2 in J 65.923 * [backup-simplify]: Simplify 1/2 into 1/2 65.923 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 65.923 * [taylor]: Taking taylor expansion of J in J 65.923 * [backup-simplify]: Simplify 0 into 0 65.923 * [backup-simplify]: Simplify 1 into 1 65.923 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 65.923 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 65.923 * [taylor]: Taking taylor expansion of -1/2 in J 65.923 * [backup-simplify]: Simplify -1/2 into -1/2 65.923 * [taylor]: Taking taylor expansion of K in J 65.923 * [backup-simplify]: Simplify K into K 65.923 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.923 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.923 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.923 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.923 * [backup-simplify]: Simplify (- 0) into 0 65.923 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.923 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 65.924 * [taylor]: Taking taylor expansion of 0 in K 65.924 * [backup-simplify]: Simplify 0 into 0 65.924 * [taylor]: Taking taylor expansion of 0 in J 65.924 * [backup-simplify]: Simplify 0 into 0 65.924 * [backup-simplify]: Simplify 0 into 0 65.924 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 65.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 65.924 * [taylor]: Taking taylor expansion of 0 in J 65.924 * [backup-simplify]: Simplify 0 into 0 65.924 * [backup-simplify]: Simplify 0 into 0 65.924 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 65.924 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 65.925 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 65.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 65.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 65.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 65.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 65.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 65.927 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 65.927 * [backup-simplify]: Simplify (- 0) into 0 65.927 * [backup-simplify]: Simplify (+ 0 0) into 0 65.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 65.928 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 65.928 * [backup-simplify]: 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 65.929 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 65.929 * [backup-simplify]: Simplify (+ 1 0) into 1 65.930 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 65.930 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 65.930 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 65.930 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 65.930 * [taylor]: Taking taylor expansion of -1/2 in K 65.930 * [backup-simplify]: Simplify -1/2 into -1/2 65.930 * [taylor]: Taking taylor expansion of K in K 65.930 * [backup-simplify]: Simplify 0 into 0 65.930 * [backup-simplify]: Simplify 1 into 1 65.930 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 65.931 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.931 * [taylor]: Taking taylor expansion of J in K 65.931 * [backup-simplify]: Simplify J into J 65.931 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 65.931 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 65.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 65.931 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 65.931 * [taylor]: Taking taylor expansion of -1/2 in J 65.931 * [backup-simplify]: Simplify -1/2 into -1/2 65.931 * [taylor]: Taking taylor expansion of K in J 65.931 * [backup-simplify]: Simplify K into K 65.931 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 65.931 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 65.931 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 65.931 * [taylor]: Taking taylor expansion of J in J 65.931 * [backup-simplify]: Simplify 0 into 0 65.931 * [backup-simplify]: Simplify 1 into 1 65.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.931 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 65.932 * [backup-simplify]: Simplify (- 0) into 0 65.932 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 65.932 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 65.932 * [backup-simplify]: Simplify (+ 0) into 0 65.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.933 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.935 * [backup-simplify]: Simplify (- 0) into 0 65.935 * [backup-simplify]: Simplify (+ 0 0) into 0 65.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 65.936 * [backup-simplify]: Simplify 0 into 0 65.936 * [taylor]: Taking taylor expansion of 0 in J 65.936 * [backup-simplify]: Simplify 0 into 0 65.936 * [backup-simplify]: Simplify 0 into 0 65.936 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 65.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 65.937 * [taylor]: Taking taylor expansion of 0 in J 65.937 * [backup-simplify]: Simplify 0 into 0 65.937 * [backup-simplify]: Simplify 0 into 0 65.937 * [backup-simplify]: Simplify 0 into 0 65.937 * [backup-simplify]: Simplify 0 into 0 65.938 * [backup-simplify]: Simplify (+ 0) into 0 65.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 65.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 65.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.940 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 65.940 * [backup-simplify]: Simplify (- 0) into 0 65.940 * [backup-simplify]: Simplify (+ 0 0) into 0 65.941 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 65.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 65.941 * [backup-simplify]: Simplify 0 into 0 65.941 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 65.941 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1 1) 65.942 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 65.942 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 65.942 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 65.942 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 65.942 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 65.942 * [taylor]: Taking taylor expansion of 1/4 in J 65.942 * [backup-simplify]: Simplify 1/4 into 1/4 65.942 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 65.942 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.942 * [taylor]: Taking taylor expansion of U in J 65.942 * [backup-simplify]: Simplify U into U 65.942 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 65.942 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 65.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 65.942 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 65.942 * [taylor]: Taking taylor expansion of 1/2 in J 65.943 * [backup-simplify]: Simplify 1/2 into 1/2 65.943 * [taylor]: Taking taylor expansion of K in J 65.943 * [backup-simplify]: Simplify K into K 65.943 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.943 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.943 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.943 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.943 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.943 * [backup-simplify]: Simplify (- 0) into 0 65.944 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.944 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.944 * [taylor]: Taking taylor expansion of J in J 65.944 * [backup-simplify]: Simplify 0 into 0 65.944 * [backup-simplify]: Simplify 1 into 1 65.944 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.944 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.944 * [backup-simplify]: Simplify (* 1 1) into 1 65.944 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 65.945 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 65.945 * [taylor]: Taking taylor expansion of 1 in J 65.945 * [backup-simplify]: Simplify 1 into 1 65.945 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 65.945 * [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))) 65.945 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 65.945 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.947 * [backup-simplify]: Simplify (+ 0) into 0 65.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 65.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 65.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.949 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 65.949 * [backup-simplify]: Simplify (- 0) into 0 65.949 * [backup-simplify]: Simplify (+ 0 0) into 0 65.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 65.950 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 65.950 * [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 65.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 65.951 * [backup-simplify]: Simplify (+ 0 0) into 0 65.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 65.952 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 65.952 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 65.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 65.952 * [taylor]: Taking taylor expansion of 1/4 in K 65.952 * [backup-simplify]: Simplify 1/4 into 1/4 65.952 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 65.952 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.952 * [taylor]: Taking taylor expansion of U in K 65.952 * [backup-simplify]: Simplify U into U 65.952 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 65.952 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 65.952 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 65.952 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 65.952 * [taylor]: Taking taylor expansion of 1/2 in K 65.952 * [backup-simplify]: Simplify 1/2 into 1/2 65.952 * [taylor]: Taking taylor expansion of K in K 65.952 * [backup-simplify]: Simplify 0 into 0 65.952 * [backup-simplify]: Simplify 1 into 1 65.953 * [backup-simplify]: Simplify (* 1/2 0) into 0 65.953 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 65.953 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.953 * [taylor]: Taking taylor expansion of J in K 65.953 * [backup-simplify]: Simplify J into J 65.953 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.954 * [backup-simplify]: Simplify (* 1 1) into 1 65.954 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.954 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 65.954 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 65.954 * [taylor]: Taking taylor expansion of 1 in K 65.954 * [backup-simplify]: Simplify 1 into 1 65.954 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 65.955 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 65.955 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 65.955 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.955 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.955 * [backup-simplify]: Simplify (+ 0) into 0 65.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 65.957 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 65.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 65.958 * [backup-simplify]: Simplify (+ 0 0) into 0 65.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 65.958 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 65.958 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 65.958 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 65.958 * [taylor]: Taking taylor expansion of 1/4 in U 65.958 * [backup-simplify]: Simplify 1/4 into 1/4 65.958 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 65.958 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.958 * [taylor]: Taking taylor expansion of U in U 65.958 * [backup-simplify]: Simplify 0 into 0 65.958 * [backup-simplify]: Simplify 1 into 1 65.958 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 65.958 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 65.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 65.958 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 65.958 * [taylor]: Taking taylor expansion of 1/2 in U 65.958 * [backup-simplify]: Simplify 1/2 into 1/2 65.958 * [taylor]: Taking taylor expansion of K in U 65.958 * [backup-simplify]: Simplify K into K 65.958 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.958 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.958 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.958 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.958 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.959 * [backup-simplify]: Simplify (- 0) into 0 65.959 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.959 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.959 * [taylor]: Taking taylor expansion of J in U 65.959 * [backup-simplify]: Simplify J into J 65.959 * [backup-simplify]: Simplify (* 1 1) into 1 65.959 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.959 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.959 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 65.959 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 65.959 * [taylor]: Taking taylor expansion of 1 in U 65.960 * [backup-simplify]: Simplify 1 into 1 65.960 * [backup-simplify]: Simplify (+ 0 1) into 1 65.960 * [backup-simplify]: Simplify (sqrt 1) into 1 65.960 * [backup-simplify]: Simplify (+ 0 0) into 0 65.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 65.961 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 65.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 65.961 * [taylor]: Taking taylor expansion of 1/4 in U 65.961 * [backup-simplify]: Simplify 1/4 into 1/4 65.961 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 65.961 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.961 * [taylor]: Taking taylor expansion of U in U 65.961 * [backup-simplify]: Simplify 0 into 0 65.961 * [backup-simplify]: Simplify 1 into 1 65.961 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 65.961 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 65.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 65.961 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 65.961 * [taylor]: Taking taylor expansion of 1/2 in U 65.961 * [backup-simplify]: Simplify 1/2 into 1/2 65.961 * [taylor]: Taking taylor expansion of K in U 65.961 * [backup-simplify]: Simplify K into K 65.961 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 65.961 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 65.961 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 65.961 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 65.961 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 65.962 * [backup-simplify]: Simplify (- 0) into 0 65.962 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 65.962 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.962 * [taylor]: Taking taylor expansion of J in U 65.962 * [backup-simplify]: Simplify J into J 65.962 * [backup-simplify]: Simplify (* 1 1) into 1 65.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 65.962 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.963 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 65.963 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 65.963 * [taylor]: Taking taylor expansion of 1 in U 65.963 * [backup-simplify]: Simplify 1 into 1 65.963 * [backup-simplify]: Simplify (+ 0 1) into 1 65.964 * [backup-simplify]: Simplify (sqrt 1) into 1 65.964 * [backup-simplify]: Simplify (+ 0 0) into 0 65.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.964 * [taylor]: Taking taylor expansion of 1 in K 65.964 * [backup-simplify]: Simplify 1 into 1 65.964 * [taylor]: Taking taylor expansion of 1 in J 65.964 * [backup-simplify]: Simplify 1 into 1 65.964 * [taylor]: Taking taylor expansion of 0 in K 65.964 * [backup-simplify]: Simplify 0 into 0 65.964 * [taylor]: Taking taylor expansion of 0 in J 65.964 * [backup-simplify]: Simplify 0 into 0 65.965 * [taylor]: Taking taylor expansion of 0 in J 65.965 * [backup-simplify]: Simplify 0 into 0 65.965 * [backup-simplify]: Simplify 1 into 1 65.965 * [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))) 65.965 * [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)))) 65.966 * [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))) 65.966 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 65.966 * [taylor]: Taking taylor expansion of 1/8 in K 65.966 * [backup-simplify]: Simplify 1/8 into 1/8 65.966 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 65.966 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 65.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 65.966 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 65.966 * [taylor]: Taking taylor expansion of 1/2 in K 65.966 * [backup-simplify]: Simplify 1/2 into 1/2 65.966 * [taylor]: Taking taylor expansion of K in K 65.966 * [backup-simplify]: Simplify 0 into 0 65.966 * [backup-simplify]: Simplify 1 into 1 65.966 * [backup-simplify]: Simplify (* 1/2 0) into 0 65.967 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 65.967 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.967 * [taylor]: Taking taylor expansion of J in K 65.967 * [backup-simplify]: Simplify J into J 65.967 * [backup-simplify]: Simplify (* 1 1) into 1 65.967 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.967 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 65.967 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 65.967 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 65.967 * [taylor]: Taking taylor expansion of 1/8 in J 65.967 * [backup-simplify]: Simplify 1/8 into 1/8 65.967 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.967 * [taylor]: Taking taylor expansion of J in J 65.967 * [backup-simplify]: Simplify 0 into 0 65.967 * [backup-simplify]: Simplify 1 into 1 65.968 * [backup-simplify]: Simplify (* 1 1) into 1 65.968 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 65.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 65.969 * [backup-simplify]: Simplify 0 into 0 65.969 * [taylor]: Taking taylor expansion of 0 in J 65.969 * [backup-simplify]: Simplify 0 into 0 65.969 * [taylor]: Taking taylor expansion of 0 in J 65.969 * [backup-simplify]: Simplify 0 into 0 65.969 * [backup-simplify]: Simplify 0 into 0 65.969 * [backup-simplify]: Simplify 0 into 0 65.969 * [backup-simplify]: Simplify 0 into 0 65.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.970 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.970 * [backup-simplify]: Simplify (+ 0) into 0 65.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 65.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 65.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 65.972 * [backup-simplify]: Simplify (- 0) into 0 65.972 * [backup-simplify]: Simplify (+ 0 0) into 0 65.972 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 65.972 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 65.973 * [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 65.973 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 65.974 * [backup-simplify]: Simplify (+ 0 0) into 0 65.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 65.974 * [taylor]: Taking taylor expansion of 0 in K 65.974 * [backup-simplify]: Simplify 0 into 0 65.974 * [taylor]: Taking taylor expansion of 0 in J 65.974 * [backup-simplify]: Simplify 0 into 0 65.974 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.974 * [backup-simplify]: Simplify (+ 0) into 0 65.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 65.975 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 65.975 * [taylor]: Taking taylor expansion of 0 in J 65.975 * [backup-simplify]: Simplify 0 into 0 65.975 * [taylor]: Taking taylor expansion of 0 in J 65.975 * [backup-simplify]: Simplify 0 into 0 65.975 * [taylor]: Taking taylor expansion of 0 in J 65.975 * [backup-simplify]: Simplify 0 into 0 65.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 65.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.977 * [backup-simplify]: Simplify 0 into 0 65.977 * [backup-simplify]: Simplify 0 into 0 65.977 * [backup-simplify]: Simplify 1 into 1 65.977 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 65.977 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 65.977 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 65.977 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 65.977 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 65.977 * [taylor]: Taking taylor expansion of 1/4 in J 65.977 * [backup-simplify]: Simplify 1/4 into 1/4 65.977 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 65.977 * [taylor]: Taking taylor expansion of (pow J 2) in J 65.977 * [taylor]: Taking taylor expansion of J in J 65.977 * [backup-simplify]: Simplify 0 into 0 65.977 * [backup-simplify]: Simplify 1 into 1 65.977 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 65.977 * [taylor]: Taking taylor expansion of (pow U 2) in J 65.977 * [taylor]: Taking taylor expansion of U in J 65.977 * [backup-simplify]: Simplify U into U 65.977 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 65.977 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.977 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.977 * [taylor]: Taking taylor expansion of 1/2 in J 65.977 * [backup-simplify]: Simplify 1/2 into 1/2 65.977 * [taylor]: Taking taylor expansion of K in J 65.977 * [backup-simplify]: Simplify K into K 65.977 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.977 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.977 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.978 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.978 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.978 * [backup-simplify]: Simplify (- 0) into 0 65.978 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.978 * [backup-simplify]: Simplify (* 1 1) into 1 65.978 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.978 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.978 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 65.978 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 65.979 * [taylor]: Taking taylor expansion of 1 in J 65.979 * [backup-simplify]: Simplify 1 into 1 65.979 * [backup-simplify]: Simplify (+ 0 1) into 1 65.979 * [backup-simplify]: Simplify (sqrt 1) into 1 65.979 * [backup-simplify]: Simplify (+ 0 0) into 0 65.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 65.980 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 65.980 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 65.980 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 65.980 * [taylor]: Taking taylor expansion of 1/4 in K 65.980 * [backup-simplify]: Simplify 1/4 into 1/4 65.980 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 65.980 * [taylor]: Taking taylor expansion of (pow J 2) in K 65.980 * [taylor]: Taking taylor expansion of J in K 65.980 * [backup-simplify]: Simplify J into J 65.980 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 65.980 * [taylor]: Taking taylor expansion of (pow U 2) in K 65.980 * [taylor]: Taking taylor expansion of U in K 65.980 * [backup-simplify]: Simplify U into U 65.980 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 65.980 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.980 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.980 * [taylor]: Taking taylor expansion of 1/2 in K 65.980 * [backup-simplify]: Simplify 1/2 into 1/2 65.980 * [taylor]: Taking taylor expansion of K in K 65.980 * [backup-simplify]: Simplify 0 into 0 65.980 * [backup-simplify]: Simplify 1 into 1 65.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.980 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.980 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.980 * [backup-simplify]: Simplify (* U U) into (pow U 2) 65.981 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.981 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 65.981 * [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))) 65.981 * [taylor]: Taking taylor expansion of 1 in K 65.981 * [backup-simplify]: Simplify 1 into 1 65.981 * [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)))) 65.981 * [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) 65.981 * [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)) 65.981 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.982 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 65.982 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.982 * [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 65.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 65.983 * [backup-simplify]: Simplify (+ 0 0) into 0 65.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 65.983 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 65.983 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 65.983 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 65.983 * [taylor]: Taking taylor expansion of 1/4 in U 65.983 * [backup-simplify]: Simplify 1/4 into 1/4 65.983 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 65.983 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.983 * [taylor]: Taking taylor expansion of J in U 65.983 * [backup-simplify]: Simplify J into J 65.983 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 65.983 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.983 * [taylor]: Taking taylor expansion of U in U 65.983 * [backup-simplify]: Simplify 0 into 0 65.983 * [backup-simplify]: Simplify 1 into 1 65.983 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 65.983 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 65.983 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 65.983 * [taylor]: Taking taylor expansion of 1/2 in U 65.983 * [backup-simplify]: Simplify 1/2 into 1/2 65.983 * [taylor]: Taking taylor expansion of K in U 65.983 * [backup-simplify]: Simplify K into K 65.983 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.984 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.984 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.984 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.984 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.984 * [backup-simplify]: Simplify (- 0) into 0 65.984 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.984 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.984 * [backup-simplify]: Simplify (* 1 1) into 1 65.984 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.984 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 65.984 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 65.985 * [taylor]: Taking taylor expansion of 1 in U 65.985 * [backup-simplify]: Simplify 1 into 1 65.985 * [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))) 65.985 * [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))) 65.985 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.985 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.985 * [backup-simplify]: Simplify (+ 0) into 0 65.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.987 * [backup-simplify]: Simplify (- 0) into 0 65.987 * [backup-simplify]: Simplify (+ 0 0) into 0 65.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.988 * [backup-simplify]: 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 65.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 65.989 * [backup-simplify]: Simplify (+ 0 0) into 0 65.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 65.989 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 65.989 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 65.989 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 65.989 * [taylor]: Taking taylor expansion of 1/4 in U 65.989 * [backup-simplify]: Simplify 1/4 into 1/4 65.989 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 65.989 * [taylor]: Taking taylor expansion of (pow J 2) in U 65.989 * [taylor]: Taking taylor expansion of J in U 65.989 * [backup-simplify]: Simplify J into J 65.989 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 65.989 * [taylor]: Taking taylor expansion of (pow U 2) in U 65.989 * [taylor]: Taking taylor expansion of U in U 65.989 * [backup-simplify]: Simplify 0 into 0 65.989 * [backup-simplify]: Simplify 1 into 1 65.989 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 65.989 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 65.989 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 65.989 * [taylor]: Taking taylor expansion of 1/2 in U 65.989 * [backup-simplify]: Simplify 1/2 into 1/2 65.989 * [taylor]: Taking taylor expansion of K in U 65.989 * [backup-simplify]: Simplify K into K 65.989 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 65.989 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.989 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 65.989 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 65.989 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 65.990 * [backup-simplify]: Simplify (- 0) into 0 65.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 65.990 * [backup-simplify]: Simplify (* J J) into (pow J 2) 65.990 * [backup-simplify]: Simplify (* 1 1) into 1 65.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 65.990 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 65.990 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 65.990 * [taylor]: Taking taylor expansion of 1 in U 65.990 * [backup-simplify]: Simplify 1 into 1 65.991 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 65.991 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 65.991 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.991 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 65.992 * [backup-simplify]: Simplify (+ 0) into 0 65.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 65.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 65.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 65.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 65.994 * [backup-simplify]: Simplify (- 0) into 0 65.995 * [backup-simplify]: Simplify (+ 0 0) into 0 65.995 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 65.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 65.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 65.997 * [backup-simplify]: 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 65.997 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 65.998 * [backup-simplify]: Simplify (+ 0 0) into 0 65.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 65.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 65.998 * [taylor]: Taking taylor expansion of 1/2 in K 65.998 * [backup-simplify]: Simplify 1/2 into 1/2 65.998 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 65.998 * [taylor]: Taking taylor expansion of J in K 65.998 * [backup-simplify]: Simplify J into J 65.998 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 65.998 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 65.998 * [taylor]: Taking taylor expansion of 1/2 in K 65.998 * [backup-simplify]: Simplify 1/2 into 1/2 65.998 * [taylor]: Taking taylor expansion of K in K 65.998 * [backup-simplify]: Simplify 0 into 0 65.998 * [backup-simplify]: Simplify 1 into 1 65.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 65.999 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 65.999 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 65.999 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 65.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 65.999 * [taylor]: Taking taylor expansion of 1/2 in J 65.999 * [backup-simplify]: Simplify 1/2 into 1/2 65.999 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 65.999 * [taylor]: Taking taylor expansion of J in J 65.999 * [backup-simplify]: Simplify 0 into 0 65.999 * [backup-simplify]: Simplify 1 into 1 65.999 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 65.999 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 65.999 * [taylor]: Taking taylor expansion of 1/2 in J 65.999 * [backup-simplify]: Simplify 1/2 into 1/2 65.999 * [taylor]: Taking taylor expansion of K in J 65.999 * [backup-simplify]: Simplify K into K 65.999 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.000 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.000 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.000 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.000 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.000 * [backup-simplify]: Simplify (- 0) into 0 66.000 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.000 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 66.000 * [taylor]: Taking taylor expansion of 0 in K 66.000 * [backup-simplify]: Simplify 0 into 0 66.000 * [taylor]: Taking taylor expansion of 0 in J 66.001 * [backup-simplify]: Simplify 0 into 0 66.001 * [backup-simplify]: Simplify 0 into 0 66.001 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 66.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 66.001 * [taylor]: Taking taylor expansion of 0 in J 66.001 * [backup-simplify]: Simplify 0 into 0 66.001 * [backup-simplify]: Simplify 0 into 0 66.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 66.002 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 66.002 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 66.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 66.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 66.004 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 66.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 66.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 66.006 * [backup-simplify]: Simplify (- 0) into 0 66.006 * [backup-simplify]: Simplify (+ 0 0) into 0 66.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 66.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 66.009 * [backup-simplify]: 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 66.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 66.010 * [backup-simplify]: Simplify (+ 0 1) into 1 66.011 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 66.011 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 66.011 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 66.011 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 66.011 * [taylor]: Taking taylor expansion of 1/2 in K 66.011 * [backup-simplify]: Simplify 1/2 into 1/2 66.011 * [taylor]: Taking taylor expansion of K in K 66.011 * [backup-simplify]: Simplify 0 into 0 66.011 * [backup-simplify]: Simplify 1 into 1 66.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 66.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.012 * [taylor]: Taking taylor expansion of J in K 66.012 * [backup-simplify]: Simplify J into J 66.012 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 66.012 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 66.012 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 66.012 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 66.012 * [taylor]: Taking taylor expansion of 1/2 in J 66.012 * [backup-simplify]: Simplify 1/2 into 1/2 66.012 * [taylor]: Taking taylor expansion of K in J 66.012 * [backup-simplify]: Simplify K into K 66.012 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.013 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.013 * [taylor]: Taking taylor expansion of J in J 66.013 * [backup-simplify]: Simplify 0 into 0 66.013 * [backup-simplify]: Simplify 1 into 1 66.013 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.013 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.013 * [backup-simplify]: Simplify (- 0) into 0 66.013 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.013 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.014 * [backup-simplify]: Simplify (+ 0) into 0 66.014 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 66.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 66.015 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.016 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 66.016 * [backup-simplify]: Simplify (- 0) into 0 66.016 * [backup-simplify]: Simplify (+ 0 0) into 0 66.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 66.017 * [backup-simplify]: Simplify 0 into 0 66.017 * [taylor]: Taking taylor expansion of 0 in J 66.018 * [backup-simplify]: Simplify 0 into 0 66.018 * [backup-simplify]: Simplify 0 into 0 66.018 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 66.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 66.023 * [taylor]: Taking taylor expansion of 0 in J 66.023 * [backup-simplify]: Simplify 0 into 0 66.023 * [backup-simplify]: Simplify 0 into 0 66.023 * [backup-simplify]: Simplify 0 into 0 66.024 * [backup-simplify]: Simplify 0 into 0 66.024 * [backup-simplify]: Simplify (+ 0) into 0 66.025 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 66.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 66.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 66.026 * [backup-simplify]: Simplify (- 0) into 0 66.027 * [backup-simplify]: Simplify (+ 0 0) into 0 66.027 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 66.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 66.027 * [backup-simplify]: Simplify 0 into 0 66.027 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 66.028 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 66.028 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 66.028 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 66.028 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 66.028 * [taylor]: Taking taylor expansion of 1 in J 66.028 * [backup-simplify]: Simplify 1 into 1 66.028 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 66.028 * [taylor]: Taking taylor expansion of 1/4 in J 66.028 * [backup-simplify]: Simplify 1/4 into 1/4 66.028 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 66.028 * [taylor]: Taking taylor expansion of (pow J 2) in J 66.028 * [taylor]: Taking taylor expansion of J in J 66.028 * [backup-simplify]: Simplify 0 into 0 66.028 * [backup-simplify]: Simplify 1 into 1 66.028 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 66.028 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 66.028 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 66.028 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 66.028 * [taylor]: Taking taylor expansion of -1/2 in J 66.028 * [backup-simplify]: Simplify -1/2 into -1/2 66.028 * [taylor]: Taking taylor expansion of K in J 66.028 * [backup-simplify]: Simplify K into K 66.028 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.028 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.028 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.028 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.028 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.029 * [backup-simplify]: Simplify (- 0) into 0 66.029 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.029 * [taylor]: Taking taylor expansion of (pow U 2) in J 66.029 * [taylor]: Taking taylor expansion of U in J 66.029 * [backup-simplify]: Simplify U into U 66.029 * [backup-simplify]: Simplify (* 1 1) into 1 66.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.029 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.029 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 66.029 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 66.030 * [backup-simplify]: Simplify (+ 1 0) into 1 66.030 * [backup-simplify]: Simplify (sqrt 1) into 1 66.030 * [backup-simplify]: Simplify (+ 0 0) into 0 66.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.030 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 66.030 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 66.030 * [taylor]: Taking taylor expansion of 1 in K 66.031 * [backup-simplify]: Simplify 1 into 1 66.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 66.031 * [taylor]: Taking taylor expansion of 1/4 in K 66.031 * [backup-simplify]: Simplify 1/4 into 1/4 66.031 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 66.031 * [taylor]: Taking taylor expansion of (pow J 2) in K 66.031 * [taylor]: Taking taylor expansion of J in K 66.031 * [backup-simplify]: Simplify J into J 66.031 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 66.031 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 66.031 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 66.031 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 66.031 * [taylor]: Taking taylor expansion of -1/2 in K 66.031 * [backup-simplify]: Simplify -1/2 into -1/2 66.031 * [taylor]: Taking taylor expansion of K in K 66.031 * [backup-simplify]: Simplify 0 into 0 66.031 * [backup-simplify]: Simplify 1 into 1 66.031 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 66.031 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.031 * [taylor]: Taking taylor expansion of (pow U 2) in K 66.031 * [taylor]: Taking taylor expansion of U in K 66.031 * [backup-simplify]: Simplify U into U 66.031 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.031 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.031 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 66.031 * [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))) 66.032 * [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)))) 66.032 * [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))))) 66.032 * [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)))))) 66.032 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.032 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 66.032 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 66.032 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 66.033 * [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 66.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 66.033 * [backup-simplify]: Simplify (+ 0 0) into 0 66.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 66.034 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 66.034 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 66.034 * [taylor]: Taking taylor expansion of 1 in U 66.034 * [backup-simplify]: Simplify 1 into 1 66.034 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 66.034 * [taylor]: Taking taylor expansion of 1/4 in U 66.034 * [backup-simplify]: Simplify 1/4 into 1/4 66.034 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 66.034 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.034 * [taylor]: Taking taylor expansion of J in U 66.034 * [backup-simplify]: Simplify J into J 66.034 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 66.034 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 66.034 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 66.034 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 66.034 * [taylor]: Taking taylor expansion of -1/2 in U 66.034 * [backup-simplify]: Simplify -1/2 into -1/2 66.034 * [taylor]: Taking taylor expansion of K in U 66.034 * [backup-simplify]: Simplify K into K 66.034 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.034 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.034 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.034 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.034 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.034 * [backup-simplify]: Simplify (- 0) into 0 66.034 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.034 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.034 * [taylor]: Taking taylor expansion of U in U 66.034 * [backup-simplify]: Simplify 0 into 0 66.035 * [backup-simplify]: Simplify 1 into 1 66.035 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.035 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.035 * [backup-simplify]: Simplify (* 1 1) into 1 66.035 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 66.035 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 66.035 * [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))) 66.035 * [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))) 66.035 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 66.035 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.036 * [backup-simplify]: Simplify (+ 0) into 0 66.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.037 * [backup-simplify]: Simplify (- 0) into 0 66.038 * [backup-simplify]: Simplify (+ 0 0) into 0 66.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 66.038 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 66.038 * [backup-simplify]: 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 66.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 66.039 * [backup-simplify]: Simplify (+ 0 0) into 0 66.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 66.039 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 66.039 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 66.039 * [taylor]: Taking taylor expansion of 1 in U 66.039 * [backup-simplify]: Simplify 1 into 1 66.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 66.039 * [taylor]: Taking taylor expansion of 1/4 in U 66.039 * [backup-simplify]: Simplify 1/4 into 1/4 66.039 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 66.039 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.039 * [taylor]: Taking taylor expansion of J in U 66.039 * [backup-simplify]: Simplify J into J 66.039 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 66.039 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 66.039 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 66.039 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 66.039 * [taylor]: Taking taylor expansion of -1/2 in U 66.039 * [backup-simplify]: Simplify -1/2 into -1/2 66.039 * [taylor]: Taking taylor expansion of K in U 66.039 * [backup-simplify]: Simplify K into K 66.039 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.039 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.040 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.040 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.040 * [backup-simplify]: Simplify (- 0) into 0 66.040 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.040 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.040 * [taylor]: Taking taylor expansion of U in U 66.040 * [backup-simplify]: Simplify 0 into 0 66.040 * [backup-simplify]: Simplify 1 into 1 66.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.040 * [backup-simplify]: Simplify (* 1 1) into 1 66.040 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 66.040 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 66.041 * [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))) 66.041 * [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))) 66.041 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 66.041 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.042 * [backup-simplify]: Simplify (+ 0) into 0 66.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.042 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.043 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.043 * [backup-simplify]: Simplify (- 0) into 0 66.043 * [backup-simplify]: Simplify (+ 0 0) into 0 66.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 66.044 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 66.044 * [backup-simplify]: 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 66.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 66.044 * [backup-simplify]: Simplify (+ 0 0) into 0 66.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 66.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 66.045 * [taylor]: Taking taylor expansion of 1/2 in K 66.045 * [backup-simplify]: Simplify 1/2 into 1/2 66.045 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 66.045 * [taylor]: Taking taylor expansion of J in K 66.045 * [backup-simplify]: Simplify J into J 66.045 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 66.045 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 66.045 * [taylor]: Taking taylor expansion of -1/2 in K 66.045 * [backup-simplify]: Simplify -1/2 into -1/2 66.045 * [taylor]: Taking taylor expansion of K in K 66.045 * [backup-simplify]: Simplify 0 into 0 66.045 * [backup-simplify]: Simplify 1 into 1 66.045 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 66.045 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.045 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 66.045 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 66.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 66.045 * [taylor]: Taking taylor expansion of 1/2 in J 66.045 * [backup-simplify]: Simplify 1/2 into 1/2 66.045 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 66.045 * [taylor]: Taking taylor expansion of J in J 66.045 * [backup-simplify]: Simplify 0 into 0 66.045 * [backup-simplify]: Simplify 1 into 1 66.045 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 66.045 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 66.045 * [taylor]: Taking taylor expansion of -1/2 in J 66.045 * [backup-simplify]: Simplify -1/2 into -1/2 66.046 * [taylor]: Taking taylor expansion of K in J 66.046 * [backup-simplify]: Simplify K into K 66.046 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.046 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.046 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.046 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.046 * [backup-simplify]: Simplify (- 0) into 0 66.046 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.046 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 66.046 * [taylor]: Taking taylor expansion of 0 in K 66.046 * [backup-simplify]: Simplify 0 into 0 66.046 * [taylor]: Taking taylor expansion of 0 in J 66.046 * [backup-simplify]: Simplify 0 into 0 66.046 * [backup-simplify]: Simplify 0 into 0 66.046 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 66.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 66.047 * [taylor]: Taking taylor expansion of 0 in J 66.047 * [backup-simplify]: Simplify 0 into 0 66.047 * [backup-simplify]: Simplify 0 into 0 66.047 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 66.047 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 66.047 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 66.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.049 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 66.049 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 66.049 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 66.050 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 66.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 66.050 * [backup-simplify]: Simplify (- 0) into 0 66.051 * [backup-simplify]: Simplify (+ 0 0) into 0 66.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 66.051 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 66.052 * [backup-simplify]: 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 66.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 66.053 * [backup-simplify]: Simplify (+ 1 0) into 1 66.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 66.053 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 66.053 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 66.053 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 66.053 * [taylor]: Taking taylor expansion of -1/2 in K 66.053 * [backup-simplify]: Simplify -1/2 into -1/2 66.053 * [taylor]: Taking taylor expansion of K in K 66.053 * [backup-simplify]: Simplify 0 into 0 66.053 * [backup-simplify]: Simplify 1 into 1 66.053 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 66.054 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.054 * [taylor]: Taking taylor expansion of J in K 66.054 * [backup-simplify]: Simplify J into J 66.054 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 66.054 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 66.054 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 66.054 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 66.054 * [taylor]: Taking taylor expansion of -1/2 in J 66.054 * [backup-simplify]: Simplify -1/2 into -1/2 66.054 * [taylor]: Taking taylor expansion of K in J 66.054 * [backup-simplify]: Simplify K into K 66.054 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.054 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.054 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.054 * [taylor]: Taking taylor expansion of J in J 66.054 * [backup-simplify]: Simplify 0 into 0 66.054 * [backup-simplify]: Simplify 1 into 1 66.054 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.054 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.054 * [backup-simplify]: Simplify (- 0) into 0 66.054 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.054 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.055 * [backup-simplify]: Simplify (+ 0) into 0 66.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.055 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.056 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.056 * [backup-simplify]: Simplify (- 0) into 0 66.056 * [backup-simplify]: Simplify (+ 0 0) into 0 66.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 66.057 * [backup-simplify]: Simplify 0 into 0 66.057 * [taylor]: Taking taylor expansion of 0 in J 66.057 * [backup-simplify]: Simplify 0 into 0 66.057 * [backup-simplify]: Simplify 0 into 0 66.057 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 66.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 66.058 * [taylor]: Taking taylor expansion of 0 in J 66.058 * [backup-simplify]: Simplify 0 into 0 66.058 * [backup-simplify]: Simplify 0 into 0 66.058 * [backup-simplify]: Simplify 0 into 0 66.058 * [backup-simplify]: Simplify 0 into 0 66.058 * [backup-simplify]: Simplify (+ 0) into 0 66.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.060 * [backup-simplify]: Simplify (- 0) into 0 66.061 * [backup-simplify]: Simplify (+ 0 0) into 0 66.061 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 66.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 66.061 * [backup-simplify]: Simplify 0 into 0 66.062 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 66.062 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 66.062 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 66.062 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 66.062 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 66.062 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 66.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 66.062 * [taylor]: Taking taylor expansion of 1/4 in J 66.062 * [backup-simplify]: Simplify 1/4 into 1/4 66.062 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 66.062 * [taylor]: Taking taylor expansion of (pow U 2) in J 66.063 * [taylor]: Taking taylor expansion of U in J 66.063 * [backup-simplify]: Simplify U into U 66.063 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 66.063 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 66.063 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 66.063 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 66.063 * [taylor]: Taking taylor expansion of 1/2 in J 66.063 * [backup-simplify]: Simplify 1/2 into 1/2 66.063 * [taylor]: Taking taylor expansion of K in J 66.063 * [backup-simplify]: Simplify K into K 66.063 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.063 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.063 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.063 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 66.063 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 66.064 * [backup-simplify]: Simplify (- 0) into 0 66.064 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 66.064 * [taylor]: Taking taylor expansion of (pow J 2) in J 66.064 * [taylor]: Taking taylor expansion of J in J 66.064 * [backup-simplify]: Simplify 0 into 0 66.064 * [backup-simplify]: Simplify 1 into 1 66.064 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.064 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 66.064 * [backup-simplify]: Simplify (* 1 1) into 1 66.064 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 66.065 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 66.065 * [taylor]: Taking taylor expansion of 1 in J 66.065 * [backup-simplify]: Simplify 1 into 1 66.065 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 66.065 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 66.065 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 66.065 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 66.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.066 * [backup-simplify]: Simplify (+ 0) into 0 66.067 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 66.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 66.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.069 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 66.069 * [backup-simplify]: Simplify (- 0) into 0 66.069 * [backup-simplify]: Simplify (+ 0 0) into 0 66.069 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 66.070 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 66.070 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 66.071 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 66.072 * [backup-simplify]: Simplify (+ 0 0) into 0 66.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 66.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 66.072 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 66.072 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 66.072 * [taylor]: Taking taylor expansion of 1/4 in K 66.072 * [backup-simplify]: Simplify 1/4 into 1/4 66.072 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 66.072 * [taylor]: Taking taylor expansion of (pow U 2) in K 66.072 * [taylor]: Taking taylor expansion of U in K 66.072 * [backup-simplify]: Simplify U into U 66.072 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 66.072 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 66.072 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 66.072 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 66.072 * [taylor]: Taking taylor expansion of 1/2 in K 66.072 * [backup-simplify]: Simplify 1/2 into 1/2 66.072 * [taylor]: Taking taylor expansion of K in K 66.072 * [backup-simplify]: Simplify 0 into 0 66.072 * [backup-simplify]: Simplify 1 into 1 66.073 * [backup-simplify]: Simplify (* 1/2 0) into 0 66.074 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 66.074 * [taylor]: Taking taylor expansion of (pow J 2) in K 66.074 * [taylor]: Taking taylor expansion of J in K 66.074 * [backup-simplify]: Simplify J into J 66.074 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.074 * [backup-simplify]: Simplify (* 1 1) into 1 66.074 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.074 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 66.074 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 66.075 * [taylor]: Taking taylor expansion of 1 in K 66.075 * [backup-simplify]: Simplify 1 into 1 66.075 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 66.075 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 66.075 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 66.075 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 66.075 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.076 * [backup-simplify]: Simplify (+ 0) into 0 66.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 66.077 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 66.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 66.078 * [backup-simplify]: Simplify (+ 0 0) into 0 66.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 66.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 66.078 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 66.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 66.078 * [taylor]: Taking taylor expansion of 1/4 in U 66.078 * [backup-simplify]: Simplify 1/4 into 1/4 66.078 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 66.078 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.078 * [taylor]: Taking taylor expansion of U in U 66.078 * [backup-simplify]: Simplify 0 into 0 66.078 * [backup-simplify]: Simplify 1 into 1 66.078 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 66.079 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 66.079 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 66.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 66.079 * [taylor]: Taking taylor expansion of 1/2 in U 66.079 * [backup-simplify]: Simplify 1/2 into 1/2 66.079 * [taylor]: Taking taylor expansion of K in U 66.079 * [backup-simplify]: Simplify K into K 66.079 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.079 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 66.079 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 66.079 * [backup-simplify]: Simplify (- 0) into 0 66.079 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 66.079 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.079 * [taylor]: Taking taylor expansion of J in U 66.079 * [backup-simplify]: Simplify J into J 66.079 * [backup-simplify]: Simplify (* 1 1) into 1 66.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 66.080 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.080 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 66.080 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 66.080 * [taylor]: Taking taylor expansion of 1 in U 66.080 * [backup-simplify]: Simplify 1 into 1 66.080 * [backup-simplify]: Simplify (+ 0 1) into 1 66.080 * [backup-simplify]: Simplify (sqrt 1) into 1 66.081 * [backup-simplify]: Simplify (+ 0 0) into 0 66.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 66.081 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 66.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 66.081 * [taylor]: Taking taylor expansion of 1/4 in U 66.081 * [backup-simplify]: Simplify 1/4 into 1/4 66.081 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 66.081 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.081 * [taylor]: Taking taylor expansion of U in U 66.081 * [backup-simplify]: Simplify 0 into 0 66.081 * [backup-simplify]: Simplify 1 into 1 66.081 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 66.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 66.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 66.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 66.081 * [taylor]: Taking taylor expansion of 1/2 in U 66.081 * [backup-simplify]: Simplify 1/2 into 1/2 66.081 * [taylor]: Taking taylor expansion of K in U 66.081 * [backup-simplify]: Simplify K into K 66.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 66.082 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 66.082 * [backup-simplify]: Simplify (- 0) into 0 66.082 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 66.082 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.082 * [taylor]: Taking taylor expansion of J in U 66.082 * [backup-simplify]: Simplify J into J 66.082 * [backup-simplify]: Simplify (* 1 1) into 1 66.082 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 66.082 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.082 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 66.083 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 66.083 * [taylor]: Taking taylor expansion of 1 in U 66.083 * [backup-simplify]: Simplify 1 into 1 66.083 * [backup-simplify]: Simplify (+ 0 1) into 1 66.083 * [backup-simplify]: Simplify (sqrt 1) into 1 66.084 * [backup-simplify]: Simplify (+ 0 0) into 0 66.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.084 * [taylor]: Taking taylor expansion of 1 in K 66.084 * [backup-simplify]: Simplify 1 into 1 66.084 * [taylor]: Taking taylor expansion of 1 in J 66.084 * [backup-simplify]: Simplify 1 into 1 66.084 * [taylor]: Taking taylor expansion of 0 in K 66.084 * [backup-simplify]: Simplify 0 into 0 66.084 * [taylor]: Taking taylor expansion of 0 in J 66.084 * [backup-simplify]: Simplify 0 into 0 66.084 * [taylor]: Taking taylor expansion of 0 in J 66.084 * [backup-simplify]: Simplify 0 into 0 66.084 * [backup-simplify]: Simplify 1 into 1 66.084 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 66.085 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 66.085 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 66.085 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 66.085 * [taylor]: Taking taylor expansion of 1/8 in K 66.085 * [backup-simplify]: Simplify 1/8 into 1/8 66.085 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 66.086 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 66.086 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 66.086 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 66.086 * [taylor]: Taking taylor expansion of 1/2 in K 66.086 * [backup-simplify]: Simplify 1/2 into 1/2 66.086 * [taylor]: Taking taylor expansion of K in K 66.086 * [backup-simplify]: Simplify 0 into 0 66.086 * [backup-simplify]: Simplify 1 into 1 66.086 * [backup-simplify]: Simplify (* 1/2 0) into 0 66.086 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 66.086 * [taylor]: Taking taylor expansion of (pow J 2) in K 66.086 * [taylor]: Taking taylor expansion of J in K 66.086 * [backup-simplify]: Simplify J into J 66.087 * [backup-simplify]: Simplify (* 1 1) into 1 66.087 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.087 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 66.087 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 66.087 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 66.087 * [taylor]: Taking taylor expansion of 1/8 in J 66.087 * [backup-simplify]: Simplify 1/8 into 1/8 66.087 * [taylor]: Taking taylor expansion of (pow J 2) in J 66.087 * [taylor]: Taking taylor expansion of J in J 66.087 * [backup-simplify]: Simplify 0 into 0 66.087 * [backup-simplify]: Simplify 1 into 1 66.087 * [backup-simplify]: Simplify (* 1 1) into 1 66.087 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 66.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 66.088 * [backup-simplify]: Simplify 0 into 0 66.088 * [taylor]: Taking taylor expansion of 0 in J 66.088 * [backup-simplify]: Simplify 0 into 0 66.088 * [taylor]: Taking taylor expansion of 0 in J 66.088 * [backup-simplify]: Simplify 0 into 0 66.088 * [backup-simplify]: Simplify 0 into 0 66.088 * [backup-simplify]: Simplify 0 into 0 66.088 * [backup-simplify]: Simplify 0 into 0 66.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.089 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.089 * [backup-simplify]: Simplify (+ 0) into 0 66.089 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 66.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 66.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.091 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 66.091 * [backup-simplify]: Simplify (- 0) into 0 66.091 * [backup-simplify]: Simplify (+ 0 0) into 0 66.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 66.091 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 66.091 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 66.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 66.092 * [backup-simplify]: Simplify (+ 0 0) into 0 66.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 66.093 * [taylor]: Taking taylor expansion of 0 in K 66.093 * [backup-simplify]: Simplify 0 into 0 66.093 * [taylor]: Taking taylor expansion of 0 in J 66.093 * [backup-simplify]: Simplify 0 into 0 66.093 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.093 * [backup-simplify]: Simplify (+ 0) into 0 66.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 66.094 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 66.094 * [taylor]: Taking taylor expansion of 0 in J 66.094 * [backup-simplify]: Simplify 0 into 0 66.094 * [taylor]: Taking taylor expansion of 0 in J 66.094 * [backup-simplify]: Simplify 0 into 0 66.094 * [taylor]: Taking taylor expansion of 0 in J 66.094 * [backup-simplify]: Simplify 0 into 0 66.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.095 * [backup-simplify]: Simplify 0 into 0 66.095 * [backup-simplify]: Simplify 0 into 0 66.095 * [backup-simplify]: Simplify 1 into 1 66.095 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 66.095 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 66.095 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 66.095 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 66.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 66.096 * [taylor]: Taking taylor expansion of 1/4 in J 66.096 * [backup-simplify]: Simplify 1/4 into 1/4 66.096 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 66.096 * [taylor]: Taking taylor expansion of (pow J 2) in J 66.096 * [taylor]: Taking taylor expansion of J in J 66.096 * [backup-simplify]: Simplify 0 into 0 66.096 * [backup-simplify]: Simplify 1 into 1 66.096 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 66.096 * [taylor]: Taking taylor expansion of (pow U 2) in J 66.096 * [taylor]: Taking taylor expansion of U in J 66.096 * [backup-simplify]: Simplify U into U 66.096 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 66.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 66.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 66.096 * [taylor]: Taking taylor expansion of 1/2 in J 66.096 * [backup-simplify]: Simplify 1/2 into 1/2 66.096 * [taylor]: Taking taylor expansion of K in J 66.096 * [backup-simplify]: Simplify K into K 66.096 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.096 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.096 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.096 * [backup-simplify]: Simplify (- 0) into 0 66.096 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.097 * [backup-simplify]: Simplify (* 1 1) into 1 66.097 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 66.097 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 66.097 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 66.097 * [taylor]: Taking taylor expansion of 1 in J 66.097 * [backup-simplify]: Simplify 1 into 1 66.097 * [backup-simplify]: Simplify (+ 0 1) into 1 66.098 * [backup-simplify]: Simplify (sqrt 1) into 1 66.098 * [backup-simplify]: Simplify (+ 0 0) into 0 66.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 66.098 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 66.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 66.098 * [taylor]: Taking taylor expansion of 1/4 in K 66.098 * [backup-simplify]: Simplify 1/4 into 1/4 66.098 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 66.098 * [taylor]: Taking taylor expansion of (pow J 2) in K 66.098 * [taylor]: Taking taylor expansion of J in K 66.098 * [backup-simplify]: Simplify J into J 66.098 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 66.098 * [taylor]: Taking taylor expansion of (pow U 2) in K 66.098 * [taylor]: Taking taylor expansion of U in K 66.098 * [backup-simplify]: Simplify U into U 66.099 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 66.099 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 66.099 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 66.099 * [taylor]: Taking taylor expansion of 1/2 in K 66.099 * [backup-simplify]: Simplify 1/2 into 1/2 66.099 * [taylor]: Taking taylor expansion of K in K 66.099 * [backup-simplify]: Simplify 0 into 0 66.099 * [backup-simplify]: Simplify 1 into 1 66.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 66.099 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.099 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.099 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.099 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 66.099 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 66.099 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 66.099 * [taylor]: Taking taylor expansion of 1 in K 66.099 * [backup-simplify]: Simplify 1 into 1 66.099 * [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)))) 66.100 * [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) 66.100 * [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)) 66.100 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.100 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 66.100 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 66.100 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 66.100 * [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 66.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 66.101 * [backup-simplify]: Simplify (+ 0 0) into 0 66.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 66.101 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 66.101 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 66.101 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 66.101 * [taylor]: Taking taylor expansion of 1/4 in U 66.101 * [backup-simplify]: Simplify 1/4 into 1/4 66.102 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 66.102 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.102 * [taylor]: Taking taylor expansion of J in U 66.102 * [backup-simplify]: Simplify J into J 66.102 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 66.102 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.102 * [taylor]: Taking taylor expansion of U in U 66.102 * [backup-simplify]: Simplify 0 into 0 66.102 * [backup-simplify]: Simplify 1 into 1 66.102 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 66.102 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 66.102 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 66.102 * [taylor]: Taking taylor expansion of 1/2 in U 66.102 * [backup-simplify]: Simplify 1/2 into 1/2 66.102 * [taylor]: Taking taylor expansion of K in U 66.102 * [backup-simplify]: Simplify K into K 66.102 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.102 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.102 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.102 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.102 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.102 * [backup-simplify]: Simplify (- 0) into 0 66.102 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.102 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.103 * [backup-simplify]: Simplify (* 1 1) into 1 66.103 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 66.103 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 66.103 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 66.103 * [taylor]: Taking taylor expansion of 1 in U 66.103 * [backup-simplify]: Simplify 1 into 1 66.103 * [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))) 66.103 * [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))) 66.103 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 66.103 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.104 * [backup-simplify]: Simplify (+ 0) into 0 66.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 66.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 66.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 66.105 * [backup-simplify]: Simplify (- 0) into 0 66.105 * [backup-simplify]: Simplify (+ 0 0) into 0 66.105 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 66.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 66.107 * [backup-simplify]: 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 66.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 66.108 * [backup-simplify]: Simplify (+ 0 0) into 0 66.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 66.108 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 66.108 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 66.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 66.108 * [taylor]: Taking taylor expansion of 1/4 in U 66.108 * [backup-simplify]: Simplify 1/4 into 1/4 66.108 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 66.108 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.108 * [taylor]: Taking taylor expansion of J in U 66.108 * [backup-simplify]: Simplify J into J 66.108 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 66.108 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.108 * [taylor]: Taking taylor expansion of U in U 66.108 * [backup-simplify]: Simplify 0 into 0 66.108 * [backup-simplify]: Simplify 1 into 1 66.108 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 66.108 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 66.108 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 66.108 * [taylor]: Taking taylor expansion of 1/2 in U 66.108 * [backup-simplify]: Simplify 1/2 into 1/2 66.108 * [taylor]: Taking taylor expansion of K in U 66.109 * [backup-simplify]: Simplify K into K 66.109 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.109 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.109 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.109 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.109 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.109 * [backup-simplify]: Simplify (- 0) into 0 66.109 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.109 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.110 * [backup-simplify]: Simplify (* 1 1) into 1 66.110 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 66.110 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 66.110 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 66.110 * [taylor]: Taking taylor expansion of 1 in U 66.110 * [backup-simplify]: Simplify 1 into 1 66.111 * [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))) 66.111 * [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))) 66.111 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 66.111 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.112 * [backup-simplify]: Simplify (+ 0) into 0 66.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 66.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 66.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 66.114 * [backup-simplify]: Simplify (- 0) into 0 66.114 * [backup-simplify]: Simplify (+ 0 0) into 0 66.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 66.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 66.116 * [backup-simplify]: 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 66.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 66.117 * [backup-simplify]: Simplify (+ 0 0) into 0 66.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 66.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 66.118 * [taylor]: Taking taylor expansion of 1/2 in K 66.118 * [backup-simplify]: Simplify 1/2 into 1/2 66.118 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 66.118 * [taylor]: Taking taylor expansion of J in K 66.118 * [backup-simplify]: Simplify J into J 66.118 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 66.118 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 66.118 * [taylor]: Taking taylor expansion of 1/2 in K 66.118 * [backup-simplify]: Simplify 1/2 into 1/2 66.118 * [taylor]: Taking taylor expansion of K in K 66.118 * [backup-simplify]: Simplify 0 into 0 66.118 * [backup-simplify]: Simplify 1 into 1 66.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 66.119 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.119 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 66.119 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 66.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 66.119 * [taylor]: Taking taylor expansion of 1/2 in J 66.119 * [backup-simplify]: Simplify 1/2 into 1/2 66.119 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 66.119 * [taylor]: Taking taylor expansion of J in J 66.119 * [backup-simplify]: Simplify 0 into 0 66.119 * [backup-simplify]: Simplify 1 into 1 66.119 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 66.119 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 66.119 * [taylor]: Taking taylor expansion of 1/2 in J 66.119 * [backup-simplify]: Simplify 1/2 into 1/2 66.119 * [taylor]: Taking taylor expansion of K in J 66.119 * [backup-simplify]: Simplify K into K 66.119 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.119 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.119 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.119 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.120 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.120 * [backup-simplify]: Simplify (- 0) into 0 66.120 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.120 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 66.120 * [taylor]: Taking taylor expansion of 0 in K 66.120 * [backup-simplify]: Simplify 0 into 0 66.120 * [taylor]: Taking taylor expansion of 0 in J 66.120 * [backup-simplify]: Simplify 0 into 0 66.120 * [backup-simplify]: Simplify 0 into 0 66.121 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 66.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 66.121 * [taylor]: Taking taylor expansion of 0 in J 66.121 * [backup-simplify]: Simplify 0 into 0 66.121 * [backup-simplify]: Simplify 0 into 0 66.122 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 66.122 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 66.122 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 66.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 66.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 66.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 66.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 66.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 66.126 * [backup-simplify]: Simplify (- 0) into 0 66.126 * [backup-simplify]: Simplify (+ 0 0) into 0 66.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 66.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 66.129 * [backup-simplify]: 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 66.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 66.131 * [backup-simplify]: Simplify (+ 0 1) into 1 66.132 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 66.132 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 66.132 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 66.132 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 66.132 * [taylor]: Taking taylor expansion of 1/2 in K 66.132 * [backup-simplify]: Simplify 1/2 into 1/2 66.132 * [taylor]: Taking taylor expansion of K in K 66.132 * [backup-simplify]: Simplify 0 into 0 66.132 * [backup-simplify]: Simplify 1 into 1 66.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 66.132 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.132 * [taylor]: Taking taylor expansion of J in K 66.132 * [backup-simplify]: Simplify J into J 66.133 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 66.133 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 66.133 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 66.133 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 66.133 * [taylor]: Taking taylor expansion of 1/2 in J 66.133 * [backup-simplify]: Simplify 1/2 into 1/2 66.133 * [taylor]: Taking taylor expansion of K in J 66.133 * [backup-simplify]: Simplify K into K 66.133 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.133 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.133 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.133 * [taylor]: Taking taylor expansion of J in J 66.133 * [backup-simplify]: Simplify 0 into 0 66.133 * [backup-simplify]: Simplify 1 into 1 66.133 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.133 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.134 * [backup-simplify]: Simplify (- 0) into 0 66.134 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.134 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.135 * [backup-simplify]: Simplify (+ 0) into 0 66.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 66.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 66.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 66.137 * [backup-simplify]: Simplify (- 0) into 0 66.141 * [backup-simplify]: Simplify (+ 0 0) into 0 66.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 66.143 * [backup-simplify]: Simplify 0 into 0 66.143 * [taylor]: Taking taylor expansion of 0 in J 66.143 * [backup-simplify]: Simplify 0 into 0 66.143 * [backup-simplify]: Simplify 0 into 0 66.143 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 66.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 66.144 * [taylor]: Taking taylor expansion of 0 in J 66.144 * [backup-simplify]: Simplify 0 into 0 66.144 * [backup-simplify]: Simplify 0 into 0 66.144 * [backup-simplify]: Simplify 0 into 0 66.144 * [backup-simplify]: Simplify 0 into 0 66.145 * [backup-simplify]: Simplify (+ 0) into 0 66.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 66.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 66.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.147 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 66.147 * [backup-simplify]: Simplify (- 0) into 0 66.147 * [backup-simplify]: Simplify (+ 0 0) into 0 66.148 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 66.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 66.148 * [backup-simplify]: Simplify 0 into 0 66.149 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 66.149 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 66.149 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 66.149 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 66.149 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 66.150 * [taylor]: Taking taylor expansion of 1 in J 66.150 * [backup-simplify]: Simplify 1 into 1 66.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 66.150 * [taylor]: Taking taylor expansion of 1/4 in J 66.150 * [backup-simplify]: Simplify 1/4 into 1/4 66.150 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 66.150 * [taylor]: Taking taylor expansion of (pow J 2) in J 66.150 * [taylor]: Taking taylor expansion of J in J 66.150 * [backup-simplify]: Simplify 0 into 0 66.150 * [backup-simplify]: Simplify 1 into 1 66.150 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 66.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 66.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 66.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 66.150 * [taylor]: Taking taylor expansion of -1/2 in J 66.150 * [backup-simplify]: Simplify -1/2 into -1/2 66.150 * [taylor]: Taking taylor expansion of K in J 66.150 * [backup-simplify]: Simplify K into K 66.150 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.150 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.150 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.150 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.150 * [backup-simplify]: Simplify (- 0) into 0 66.150 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.150 * [taylor]: Taking taylor expansion of (pow U 2) in J 66.150 * [taylor]: Taking taylor expansion of U in J 66.151 * [backup-simplify]: Simplify U into U 66.151 * [backup-simplify]: Simplify (* 1 1) into 1 66.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.151 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.152 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 66.152 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 66.152 * [backup-simplify]: Simplify (+ 1 0) into 1 66.152 * [backup-simplify]: Simplify (sqrt 1) into 1 66.152 * [backup-simplify]: Simplify (+ 0 0) into 0 66.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.153 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 66.153 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 66.153 * [taylor]: Taking taylor expansion of 1 in K 66.153 * [backup-simplify]: Simplify 1 into 1 66.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 66.153 * [taylor]: Taking taylor expansion of 1/4 in K 66.153 * [backup-simplify]: Simplify 1/4 into 1/4 66.153 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 66.153 * [taylor]: Taking taylor expansion of (pow J 2) in K 66.153 * [taylor]: Taking taylor expansion of J in K 66.153 * [backup-simplify]: Simplify J into J 66.153 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 66.153 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 66.153 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 66.153 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 66.153 * [taylor]: Taking taylor expansion of -1/2 in K 66.153 * [backup-simplify]: Simplify -1/2 into -1/2 66.153 * [taylor]: Taking taylor expansion of K in K 66.153 * [backup-simplify]: Simplify 0 into 0 66.153 * [backup-simplify]: Simplify 1 into 1 66.153 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 66.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.154 * [taylor]: Taking taylor expansion of (pow U 2) in K 66.154 * [taylor]: Taking taylor expansion of U in K 66.154 * [backup-simplify]: Simplify U into U 66.154 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.154 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.154 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 66.154 * [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))) 66.154 * [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)))) 66.154 * [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))))) 66.154 * [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)))))) 66.155 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.155 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 66.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 66.155 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 66.155 * [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 66.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 66.156 * [backup-simplify]: Simplify (+ 0 0) into 0 66.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 66.156 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 66.156 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 66.156 * [taylor]: Taking taylor expansion of 1 in U 66.156 * [backup-simplify]: Simplify 1 into 1 66.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 66.156 * [taylor]: Taking taylor expansion of 1/4 in U 66.156 * [backup-simplify]: Simplify 1/4 into 1/4 66.156 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 66.156 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.156 * [taylor]: Taking taylor expansion of J in U 66.156 * [backup-simplify]: Simplify J into J 66.156 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 66.156 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 66.156 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 66.156 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 66.156 * [taylor]: Taking taylor expansion of -1/2 in U 66.156 * [backup-simplify]: Simplify -1/2 into -1/2 66.156 * [taylor]: Taking taylor expansion of K in U 66.156 * [backup-simplify]: Simplify K into K 66.156 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.156 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.156 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.156 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.156 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.157 * [backup-simplify]: Simplify (- 0) into 0 66.157 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.157 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.157 * [taylor]: Taking taylor expansion of U in U 66.157 * [backup-simplify]: Simplify 0 into 0 66.157 * [backup-simplify]: Simplify 1 into 1 66.157 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.157 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.157 * [backup-simplify]: Simplify (* 1 1) into 1 66.157 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 66.157 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 66.157 * [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))) 66.158 * [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))) 66.158 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 66.158 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.158 * [backup-simplify]: Simplify (+ 0) into 0 66.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.160 * [backup-simplify]: Simplify (- 0) into 0 66.160 * [backup-simplify]: Simplify (+ 0 0) into 0 66.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 66.160 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 66.161 * [backup-simplify]: 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 66.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 66.161 * [backup-simplify]: Simplify (+ 0 0) into 0 66.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 66.161 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 66.162 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 66.162 * [taylor]: Taking taylor expansion of 1 in U 66.162 * [backup-simplify]: Simplify 1 into 1 66.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 66.162 * [taylor]: Taking taylor expansion of 1/4 in U 66.162 * [backup-simplify]: Simplify 1/4 into 1/4 66.162 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 66.162 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.162 * [taylor]: Taking taylor expansion of J in U 66.162 * [backup-simplify]: Simplify J into J 66.162 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 66.162 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 66.162 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 66.162 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 66.162 * [taylor]: Taking taylor expansion of -1/2 in U 66.162 * [backup-simplify]: Simplify -1/2 into -1/2 66.162 * [taylor]: Taking taylor expansion of K in U 66.162 * [backup-simplify]: Simplify K into K 66.162 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.162 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.162 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.162 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.162 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.162 * [backup-simplify]: Simplify (- 0) into 0 66.162 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.162 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.162 * [taylor]: Taking taylor expansion of U in U 66.162 * [backup-simplify]: Simplify 0 into 0 66.162 * [backup-simplify]: Simplify 1 into 1 66.162 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.162 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 66.163 * [backup-simplify]: Simplify (* 1 1) into 1 66.163 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 66.163 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 66.163 * [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))) 66.163 * [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))) 66.163 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 66.163 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.164 * [backup-simplify]: Simplify (+ 0) into 0 66.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.165 * [backup-simplify]: Simplify (- 0) into 0 66.166 * [backup-simplify]: Simplify (+ 0 0) into 0 66.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 66.166 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 66.166 * [backup-simplify]: 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 66.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 66.167 * [backup-simplify]: Simplify (+ 0 0) into 0 66.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 66.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 66.167 * [taylor]: Taking taylor expansion of 1/2 in K 66.167 * [backup-simplify]: Simplify 1/2 into 1/2 66.167 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 66.167 * [taylor]: Taking taylor expansion of J in K 66.167 * [backup-simplify]: Simplify J into J 66.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 66.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 66.167 * [taylor]: Taking taylor expansion of -1/2 in K 66.167 * [backup-simplify]: Simplify -1/2 into -1/2 66.167 * [taylor]: Taking taylor expansion of K in K 66.167 * [backup-simplify]: Simplify 0 into 0 66.167 * [backup-simplify]: Simplify 1 into 1 66.167 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 66.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.168 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 66.168 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 66.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 66.168 * [taylor]: Taking taylor expansion of 1/2 in J 66.168 * [backup-simplify]: Simplify 1/2 into 1/2 66.168 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 66.168 * [taylor]: Taking taylor expansion of J in J 66.168 * [backup-simplify]: Simplify 0 into 0 66.168 * [backup-simplify]: Simplify 1 into 1 66.168 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 66.168 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 66.168 * [taylor]: Taking taylor expansion of -1/2 in J 66.168 * [backup-simplify]: Simplify -1/2 into -1/2 66.168 * [taylor]: Taking taylor expansion of K in J 66.168 * [backup-simplify]: Simplify K into K 66.168 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.168 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.168 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.168 * [backup-simplify]: Simplify (- 0) into 0 66.168 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.168 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 66.168 * [taylor]: Taking taylor expansion of 0 in K 66.168 * [backup-simplify]: Simplify 0 into 0 66.168 * [taylor]: Taking taylor expansion of 0 in J 66.168 * [backup-simplify]: Simplify 0 into 0 66.169 * [backup-simplify]: Simplify 0 into 0 66.169 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 66.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 66.169 * [taylor]: Taking taylor expansion of 0 in J 66.169 * [backup-simplify]: Simplify 0 into 0 66.169 * [backup-simplify]: Simplify 0 into 0 66.169 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 66.169 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 66.169 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 66.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 66.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 66.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 66.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 66.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 66.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 66.172 * [backup-simplify]: Simplify (- 0) into 0 66.172 * [backup-simplify]: Simplify (+ 0 0) into 0 66.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 66.173 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 66.173 * [backup-simplify]: 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 66.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 66.174 * [backup-simplify]: Simplify (+ 1 0) into 1 66.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 66.175 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 66.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 66.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 66.175 * [taylor]: Taking taylor expansion of -1/2 in K 66.175 * [backup-simplify]: Simplify -1/2 into -1/2 66.175 * [taylor]: Taking taylor expansion of K in K 66.175 * [backup-simplify]: Simplify 0 into 0 66.175 * [backup-simplify]: Simplify 1 into 1 66.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 66.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.175 * [taylor]: Taking taylor expansion of J in K 66.175 * [backup-simplify]: Simplify J into J 66.175 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 66.175 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 66.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 66.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 66.175 * [taylor]: Taking taylor expansion of -1/2 in J 66.175 * [backup-simplify]: Simplify -1/2 into -1/2 66.176 * [taylor]: Taking taylor expansion of K in J 66.176 * [backup-simplify]: Simplify K into K 66.176 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 66.176 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 66.176 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 66.176 * [taylor]: Taking taylor expansion of J in J 66.176 * [backup-simplify]: Simplify 0 into 0 66.176 * [backup-simplify]: Simplify 1 into 1 66.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.176 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 66.176 * [backup-simplify]: Simplify (- 0) into 0 66.176 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 66.176 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 66.176 * [backup-simplify]: Simplify (+ 0) into 0 66.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.178 * [backup-simplify]: Simplify (- 0) into 0 66.178 * [backup-simplify]: Simplify (+ 0 0) into 0 66.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 66.179 * [backup-simplify]: Simplify 0 into 0 66.179 * [taylor]: Taking taylor expansion of 0 in J 66.179 * [backup-simplify]: Simplify 0 into 0 66.179 * [backup-simplify]: Simplify 0 into 0 66.180 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 66.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 66.181 * [taylor]: Taking taylor expansion of 0 in J 66.181 * [backup-simplify]: Simplify 0 into 0 66.181 * [backup-simplify]: Simplify 0 into 0 66.181 * [backup-simplify]: Simplify 0 into 0 66.181 * [backup-simplify]: Simplify 0 into 0 66.181 * [backup-simplify]: Simplify (+ 0) into 0 66.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 66.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 66.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 66.183 * [backup-simplify]: Simplify (- 0) into 0 66.184 * [backup-simplify]: Simplify (+ 0 0) into 0 66.184 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 66.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 66.185 * [backup-simplify]: Simplify 0 into 0 66.185 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 66.185 * * * [progress]: simplifying candidates 66.185 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 66.185 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 66.185 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 66.186 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 66.186 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 66.186 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 66.186 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 66.186 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 66.186 * * [simplify]: iters left: 6 (15 enodes) 66.194 * * [simplify]: iters left: 5 (59 enodes) 66.212 * * [simplify]: iters left: 4 (112 enodes) 66.242 * * [simplify]: iters left: 3 (365 enodes) 66.452 * * [simplify]: Extracting #0: cost 1 inf + 0 66.452 * * [simplify]: Extracting #1: cost 4 inf + 0 66.452 * * [simplify]: Extracting #2: cost 7 inf + 0 66.452 * * [simplify]: Extracting #3: cost 10 inf + 0 66.452 * * [simplify]: Extracting #4: cost 122 inf + 1 66.453 * * [simplify]: Extracting #5: cost 241 inf + 89 66.455 * * [simplify]: Extracting #6: cost 203 inf + 3666 66.460 * * [simplify]: Extracting #7: cost 128 inf + 17960 66.477 * * [simplify]: Extracting #8: cost 13 inf + 45848 66.492 * * [simplify]: Extracting #9: cost 0 inf + 48961 66.512 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 66.512 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))))))) 66.513 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 66.513 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 66.514 * * [simplify]: iters left: 6 (14 enodes) 66.521 * * [simplify]: iters left: 5 (55 enodes) 66.543 * * [simplify]: iters left: 4 (108 enodes) 66.571 * * [simplify]: iters left: 3 (363 enodes) 66.801 * * [simplify]: Extracting #0: cost 1 inf + 0 66.801 * * [simplify]: Extracting #1: cost 3 inf + 0 66.801 * * [simplify]: Extracting #2: cost 5 inf + 0 66.801 * * [simplify]: Extracting #3: cost 8 inf + 0 66.801 * * [simplify]: Extracting #4: cost 123 inf + 1 66.803 * * [simplify]: Extracting #5: cost 234 inf + 420 66.806 * * [simplify]: Extracting #6: cost 203 inf + 3175 66.814 * * [simplify]: Extracting #7: cost 127 inf + 18949 66.841 * * [simplify]: Extracting #8: cost 7 inf + 46860 66.862 * * [simplify]: Extracting #9: cost 0 inf + 48232 66.877 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 66.877 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))))))) 66.878 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 66.878 * [simplify]: Simplifying (sqrt 1) 66.878 * * [simplify]: iters left: 1 (2 enodes) 66.882 * * [simplify]: Extracting #0: cost 1 inf + 0 66.882 * * [simplify]: Extracting #1: cost 0 inf + 1 66.882 * [simplify]: Simplified to 1 66.882 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))))))) 66.883 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 66.883 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 66.884 * * [simplify]: iters left: 6 (16 enodes) 66.893 * * [simplify]: iters left: 5 (70 enodes) 66.908 * * [simplify]: iters left: 4 (176 enodes) 67.045 * * [simplify]: Extracting #0: cost 1 inf + 0 67.045 * * [simplify]: Extracting #1: cost 3 inf + 0 67.045 * * [simplify]: Extracting #2: cost 6 inf + 0 67.045 * * [simplify]: Extracting #3: cost 103 inf + 1 67.047 * * [simplify]: Extracting #4: cost 306 inf + 6 67.049 * * [simplify]: Extracting #5: cost 338 inf + 1810 67.057 * * [simplify]: Extracting #6: cost 242 inf + 27932 67.094 * * [simplify]: Extracting #7: cost 28 inf + 100762 67.139 * * [simplify]: Extracting #8: cost 0 inf + 110036 67.181 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 67.181 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))))))) 67.181 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 67.182 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 67.182 * * [simplify]: iters left: 6 (15 enodes) 67.186 * * [simplify]: iters left: 5 (62 enodes) 67.198 * * [simplify]: iters left: 4 (150 enodes) 67.329 * * [simplify]: Extracting #0: cost 1 inf + 0 67.329 * * [simplify]: Extracting #1: cost 3 inf + 0 67.329 * * [simplify]: Extracting #2: cost 9 inf + 0 67.329 * * [simplify]: Extracting #3: cost 105 inf + 2 67.330 * * [simplify]: Extracting #4: cost 286 inf + 6 67.331 * * [simplify]: Extracting #5: cost 280 inf + 1923 67.335 * * [simplify]: Extracting #6: cost 191 inf + 25190 67.350 * * [simplify]: Extracting #7: cost 26 inf + 76271 67.374 * * [simplify]: Extracting #8: cost 0 inf + 85028 67.392 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 67.392 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))))))) 67.393 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 67.393 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 67.393 * * [simplify]: iters left: 6 (12 enodes) 67.397 * * [simplify]: iters left: 5 (49 enodes) 67.416 * * [simplify]: iters left: 4 (102 enodes) 67.449 * * [simplify]: iters left: 3 (356 enodes) 67.718 * * [simplify]: Extracting #0: cost 1 inf + 0 67.718 * * [simplify]: Extracting #1: cost 4 inf + 0 67.718 * * [simplify]: Extracting #2: cost 116 inf + 1 67.720 * * [simplify]: Extracting #3: cost 234 inf + 254 67.724 * * [simplify]: Extracting #4: cost 192 inf + 4198 67.732 * * [simplify]: Extracting #5: cost 121 inf + 19235 67.758 * * [simplify]: Extracting #6: cost 5 inf + 46310 67.784 * * [simplify]: Extracting #7: cost 0 inf + 47117 67.799 * * [simplify]: Extracting #8: cost 0 inf + 46998 67.821 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 67.821 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))))))) 67.822 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 67.822 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 67.822 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 67.822 * * [simplify]: iters left: 6 (13 enodes) 67.829 * * [simplify]: iters left: 5 (52 enodes) 67.846 * * [simplify]: iters left: 4 (105 enodes) 67.889 * * [simplify]: iters left: 3 (359 enodes) 68.128 * * [simplify]: Extracting #0: cost 1 inf + 0 68.128 * * [simplify]: Extracting #1: cost 3 inf + 0 68.128 * * [simplify]: Extracting #2: cost 6 inf + 0 68.129 * * [simplify]: Extracting #3: cost 118 inf + 1 68.131 * * [simplify]: Extracting #4: cost 235 inf + 336 68.134 * * [simplify]: Extracting #5: cost 193 inf + 4402 68.141 * * [simplify]: Extracting #6: cost 119 inf + 19348 68.156 * * [simplify]: Extracting #7: cost 7 inf + 46040 68.171 * * [simplify]: Extracting #8: cost 0 inf + 47488 68.200 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 68.200 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))))))) 68.200 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 68.201 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))))> 68.201 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 68.201 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 68.201 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 68.201 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 68.201 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 68.201 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 68.201 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 68.202 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 68.202 * * [simplify]: iters left: 6 (15 enodes) 68.209 * * [simplify]: iters left: 5 (59 enodes) 68.231 * * [simplify]: iters left: 4 (112 enodes) 68.276 * * [simplify]: iters left: 3 (365 enodes) 68.475 * * [simplify]: Extracting #0: cost 1 inf + 0 68.475 * * [simplify]: Extracting #1: cost 4 inf + 0 68.475 * * [simplify]: Extracting #2: cost 7 inf + 0 68.475 * * [simplify]: Extracting #3: cost 10 inf + 0 68.475 * * [simplify]: Extracting #4: cost 122 inf + 1 68.476 * * [simplify]: Extracting #5: cost 241 inf + 89 68.478 * * [simplify]: Extracting #6: cost 203 inf + 3666 68.481 * * [simplify]: Extracting #7: cost 128 inf + 17960 68.493 * * [simplify]: Extracting #8: cost 13 inf + 45848 68.518 * * [simplify]: Extracting #9: cost 0 inf + 48961 68.533 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 68.533 * [simplify]: Simplified (2 2 1 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 68.534 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 68.534 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 68.534 * * [simplify]: iters left: 6 (14 enodes) 68.538 * * [simplify]: iters left: 5 (55 enodes) 68.547 * * [simplify]: iters left: 4 (108 enodes) 68.598 * * [simplify]: iters left: 3 (363 enodes) 68.862 * * [simplify]: Extracting #0: cost 1 inf + 0 68.862 * * [simplify]: Extracting #1: cost 3 inf + 0 68.863 * * [simplify]: Extracting #2: cost 5 inf + 0 68.863 * * [simplify]: Extracting #3: cost 8 inf + 0 68.863 * * [simplify]: Extracting #4: cost 123 inf + 1 68.865 * * [simplify]: Extracting #5: cost 234 inf + 420 68.868 * * [simplify]: Extracting #6: cost 203 inf + 3175 68.876 * * [simplify]: Extracting #7: cost 127 inf + 18949 68.902 * * [simplify]: Extracting #8: cost 7 inf + 46860 68.931 * * [simplify]: Extracting #9: cost 0 inf + 48232 68.961 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 68.961 * [simplify]: Simplified (2 2 1 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 68.961 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 68.962 * [simplify]: Simplifying (sqrt 1) 68.962 * * [simplify]: iters left: 1 (2 enodes) 68.965 * * [simplify]: Extracting #0: cost 1 inf + 0 68.965 * * [simplify]: Extracting #1: cost 0 inf + 1 68.965 * [simplify]: Simplified to 1 68.965 * [simplify]: Simplified (2 2 1 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 68.966 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 68.966 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 68.966 * * [simplify]: iters left: 6 (16 enodes) 68.975 * * [simplify]: iters left: 5 (70 enodes) 69.005 * * [simplify]: iters left: 4 (176 enodes) 69.108 * * [simplify]: Extracting #0: cost 1 inf + 0 69.108 * * [simplify]: Extracting #1: cost 3 inf + 0 69.108 * * [simplify]: Extracting #2: cost 6 inf + 0 69.109 * * [simplify]: Extracting #3: cost 103 inf + 1 69.109 * * [simplify]: Extracting #4: cost 306 inf + 6 69.111 * * [simplify]: Extracting #5: cost 338 inf + 1810 69.116 * * [simplify]: Extracting #6: cost 242 inf + 27932 69.146 * * [simplify]: Extracting #7: cost 28 inf + 100762 69.169 * * [simplify]: Extracting #8: cost 0 inf + 110036 69.195 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 69.195 * [simplify]: Simplified (2 2 1 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 69.196 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 69.196 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 69.196 * * [simplify]: iters left: 6 (15 enodes) 69.201 * * [simplify]: iters left: 5 (62 enodes) 69.213 * * [simplify]: iters left: 4 (150 enodes) 69.283 * * [simplify]: Extracting #0: cost 1 inf + 0 69.283 * * [simplify]: Extracting #1: cost 3 inf + 0 69.283 * * [simplify]: Extracting #2: cost 9 inf + 0 69.283 * * [simplify]: Extracting #3: cost 105 inf + 2 69.284 * * [simplify]: Extracting #4: cost 286 inf + 6 69.285 * * [simplify]: Extracting #5: cost 280 inf + 1923 69.289 * * [simplify]: Extracting #6: cost 191 inf + 25190 69.305 * * [simplify]: Extracting #7: cost 26 inf + 76271 69.335 * * [simplify]: Extracting #8: cost 0 inf + 85028 69.353 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 69.353 * [simplify]: Simplified (2 2 1 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 69.354 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 69.354 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 69.354 * * [simplify]: iters left: 6 (12 enodes) 69.358 * * [simplify]: iters left: 5 (49 enodes) 69.366 * * [simplify]: iters left: 4 (102 enodes) 69.399 * * [simplify]: iters left: 3 (356 enodes) 69.647 * * [simplify]: Extracting #0: cost 1 inf + 0 69.647 * * [simplify]: Extracting #1: cost 4 inf + 0 69.647 * * [simplify]: Extracting #2: cost 116 inf + 1 69.654 * * [simplify]: Extracting #3: cost 234 inf + 254 69.656 * * [simplify]: Extracting #4: cost 192 inf + 4198 69.660 * * [simplify]: Extracting #5: cost 121 inf + 19235 69.673 * * [simplify]: Extracting #6: cost 5 inf + 46310 69.694 * * [simplify]: Extracting #7: cost 0 inf + 47117 69.716 * * [simplify]: Extracting #8: cost 0 inf + 46998 69.731 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 69.731 * [simplify]: Simplified (2 2 1 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 69.731 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 69.732 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 69.732 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 69.732 * * [simplify]: iters left: 6 (13 enodes) 69.737 * * [simplify]: iters left: 5 (52 enodes) 69.757 * * [simplify]: iters left: 4 (105 enodes) 69.792 * * [simplify]: iters left: 3 (359 enodes) 70.040 * * [simplify]: Extracting #0: cost 1 inf + 0 70.040 * * [simplify]: Extracting #1: cost 3 inf + 0 70.040 * * [simplify]: Extracting #2: cost 6 inf + 0 70.040 * * [simplify]: Extracting #3: cost 118 inf + 1 70.042 * * [simplify]: Extracting #4: cost 235 inf + 336 70.045 * * [simplify]: Extracting #5: cost 193 inf + 4402 70.053 * * [simplify]: Extracting #6: cost 119 inf + 19348 70.073 * * [simplify]: Extracting #7: cost 7 inf + 46040 70.091 * * [simplify]: Extracting #8: cost 0 inf + 47488 70.113 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 70.113 * [simplify]: Simplified (2 2 1 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 70.113 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 70.114 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))> 70.114 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 70.114 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 70.114 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 70.114 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 70.114 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 70.114 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 70.114 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 70.114 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 70.114 * * [simplify]: iters left: 6 (15 enodes) 70.119 * * [simplify]: iters left: 5 (59 enodes) 70.129 * * [simplify]: iters left: 4 (112 enodes) 70.164 * * [simplify]: iters left: 3 (365 enodes) 70.417 * * [simplify]: Extracting #0: cost 1 inf + 0 70.417 * * [simplify]: Extracting #1: cost 4 inf + 0 70.417 * * [simplify]: Extracting #2: cost 7 inf + 0 70.417 * * [simplify]: Extracting #3: cost 10 inf + 0 70.417 * * [simplify]: Extracting #4: cost 122 inf + 1 70.419 * * [simplify]: Extracting #5: cost 241 inf + 89 70.420 * * [simplify]: Extracting #6: cost 203 inf + 3666 70.424 * * [simplify]: Extracting #7: cost 128 inf + 17960 70.436 * * [simplify]: Extracting #8: cost 13 inf + 45848 70.464 * * [simplify]: Extracting #9: cost 0 inf + 48961 70.493 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 70.493 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 70.494 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 70.494 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 70.495 * * [simplify]: iters left: 6 (14 enodes) 70.501 * * [simplify]: iters left: 5 (55 enodes) 70.520 * * [simplify]: iters left: 4 (108 enodes) 70.568 * * [simplify]: iters left: 3 (363 enodes) 70.781 * * [simplify]: Extracting #0: cost 1 inf + 0 70.781 * * [simplify]: Extracting #1: cost 3 inf + 0 70.781 * * [simplify]: Extracting #2: cost 5 inf + 0 70.781 * * [simplify]: Extracting #3: cost 8 inf + 0 70.781 * * [simplify]: Extracting #4: cost 123 inf + 1 70.783 * * [simplify]: Extracting #5: cost 234 inf + 420 70.786 * * [simplify]: Extracting #6: cost 203 inf + 3175 70.795 * * [simplify]: Extracting #7: cost 127 inf + 18949 70.822 * * [simplify]: Extracting #8: cost 7 inf + 46860 70.854 * * [simplify]: Extracting #9: cost 0 inf + 48232 70.884 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 70.884 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 70.885 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 70.885 * [simplify]: Simplifying (sqrt 1) 70.885 * * [simplify]: iters left: 1 (2 enodes) 70.889 * * [simplify]: Extracting #0: cost 1 inf + 0 70.889 * * [simplify]: Extracting #1: cost 0 inf + 1 70.889 * [simplify]: Simplified to 1 70.889 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 70.890 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 70.890 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 70.890 * * [simplify]: iters left: 6 (16 enodes) 70.897 * * [simplify]: iters left: 5 (70 enodes) 70.912 * * [simplify]: iters left: 4 (176 enodes) 71.029 * * [simplify]: Extracting #0: cost 1 inf + 0 71.029 * * [simplify]: Extracting #1: cost 3 inf + 0 71.030 * * [simplify]: Extracting #2: cost 6 inf + 0 71.030 * * [simplify]: Extracting #3: cost 103 inf + 1 71.031 * * [simplify]: Extracting #4: cost 306 inf + 6 71.034 * * [simplify]: Extracting #5: cost 338 inf + 1810 71.042 * * [simplify]: Extracting #6: cost 242 inf + 27932 71.081 * * [simplify]: Extracting #7: cost 28 inf + 100762 71.126 * * [simplify]: Extracting #8: cost 0 inf + 110036 71.151 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 71.151 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 71.151 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 71.151 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 71.152 * * [simplify]: iters left: 6 (15 enodes) 71.157 * * [simplify]: iters left: 5 (62 enodes) 71.174 * * [simplify]: iters left: 4 (150 enodes) 71.276 * * [simplify]: Extracting #0: cost 1 inf + 0 71.276 * * [simplify]: Extracting #1: cost 3 inf + 0 71.276 * * [simplify]: Extracting #2: cost 9 inf + 0 71.277 * * [simplify]: Extracting #3: cost 105 inf + 2 71.277 * * [simplify]: Extracting #4: cost 286 inf + 6 71.279 * * [simplify]: Extracting #5: cost 280 inf + 1923 71.283 * * [simplify]: Extracting #6: cost 191 inf + 25190 71.305 * * [simplify]: Extracting #7: cost 26 inf + 76271 71.333 * * [simplify]: Extracting #8: cost 0 inf + 85028 71.352 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 71.352 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 71.352 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 71.353 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 71.353 * * [simplify]: iters left: 6 (12 enodes) 71.358 * * [simplify]: iters left: 5 (49 enodes) 71.375 * * [simplify]: iters left: 4 (102 enodes) 71.405 * * [simplify]: iters left: 3 (356 enodes) 71.695 * * [simplify]: Extracting #0: cost 1 inf + 0 71.695 * * [simplify]: Extracting #1: cost 4 inf + 0 71.695 * * [simplify]: Extracting #2: cost 116 inf + 1 71.698 * * [simplify]: Extracting #3: cost 234 inf + 254 71.701 * * [simplify]: Extracting #4: cost 192 inf + 4198 71.710 * * [simplify]: Extracting #5: cost 121 inf + 19235 71.736 * * [simplify]: Extracting #6: cost 5 inf + 46310 71.764 * * [simplify]: Extracting #7: cost 0 inf + 47117 71.789 * * [simplify]: Extracting #8: cost 0 inf + 46998 71.804 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 71.804 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 71.804 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 71.804 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 71.805 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 71.805 * * [simplify]: iters left: 6 (13 enodes) 71.808 * * [simplify]: iters left: 5 (52 enodes) 71.817 * * [simplify]: iters left: 4 (105 enodes) 71.845 * * [simplify]: iters left: 3 (359 enodes) 72.108 * * [simplify]: Extracting #0: cost 1 inf + 0 72.108 * * [simplify]: Extracting #1: cost 3 inf + 0 72.108 * * [simplify]: Extracting #2: cost 6 inf + 0 72.108 * * [simplify]: Extracting #3: cost 118 inf + 1 72.109 * * [simplify]: Extracting #4: cost 235 inf + 336 72.111 * * [simplify]: Extracting #5: cost 193 inf + 4402 72.115 * * [simplify]: Extracting #6: cost 119 inf + 19348 72.128 * * [simplify]: Extracting #7: cost 7 inf + 46040 72.151 * * [simplify]: Extracting #8: cost 0 inf + 47488 72.179 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 72.180 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 72.180 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 72.180 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))> 72.180 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 72.181 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 72.181 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 72.181 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 72.181 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 72.181 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 72.181 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 72.182 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 72.182 * * [simplify]: iters left: 6 (15 enodes) 72.189 * * [simplify]: iters left: 5 (59 enodes) 72.212 * * [simplify]: iters left: 4 (112 enodes) 72.251 * * [simplify]: iters left: 3 (365 enodes) 72.489 * * [simplify]: Extracting #0: cost 1 inf + 0 72.489 * * [simplify]: Extracting #1: cost 4 inf + 0 72.489 * * [simplify]: Extracting #2: cost 7 inf + 0 72.489 * * [simplify]: Extracting #3: cost 10 inf + 0 72.489 * * [simplify]: Extracting #4: cost 122 inf + 1 72.490 * * [simplify]: Extracting #5: cost 241 inf + 89 72.492 * * [simplify]: Extracting #6: cost 203 inf + 3666 72.496 * * [simplify]: Extracting #7: cost 128 inf + 17960 72.509 * * [simplify]: Extracting #8: cost 13 inf + 45848 72.542 * * [simplify]: Extracting #9: cost 0 inf + 48961 72.571 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 72.572 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 72.572 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 72.573 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 72.573 * * [simplify]: iters left: 6 (14 enodes) 72.580 * * [simplify]: iters left: 5 (55 enodes) 72.598 * * [simplify]: iters left: 4 (108 enodes) 72.640 * * [simplify]: iters left: 3 (363 enodes) 72.905 * * [simplify]: Extracting #0: cost 1 inf + 0 72.905 * * [simplify]: Extracting #1: cost 3 inf + 0 72.905 * * [simplify]: Extracting #2: cost 5 inf + 0 72.905 * * [simplify]: Extracting #3: cost 8 inf + 0 72.910 * * [simplify]: Extracting #4: cost 123 inf + 1 72.912 * * [simplify]: Extracting #5: cost 234 inf + 420 72.915 * * [simplify]: Extracting #6: cost 203 inf + 3175 72.923 * * [simplify]: Extracting #7: cost 127 inf + 18949 72.950 * * [simplify]: Extracting #8: cost 7 inf + 46860 72.976 * * [simplify]: Extracting #9: cost 0 inf + 48232 72.994 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 72.994 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 72.994 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 72.994 * [simplify]: Simplifying (sqrt 1) 72.994 * * [simplify]: iters left: 1 (2 enodes) 72.996 * * [simplify]: Extracting #0: cost 1 inf + 0 72.996 * * [simplify]: Extracting #1: cost 0 inf + 1 72.997 * [simplify]: Simplified to 1 72.997 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 72.997 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 72.997 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 72.997 * * [simplify]: iters left: 6 (16 enodes) 73.002 * * [simplify]: iters left: 5 (70 enodes) 73.026 * * [simplify]: iters left: 4 (176 enodes) 73.165 * * [simplify]: Extracting #0: cost 1 inf + 0 73.165 * * [simplify]: Extracting #1: cost 3 inf + 0 73.165 * * [simplify]: Extracting #2: cost 6 inf + 0 73.165 * * [simplify]: Extracting #3: cost 103 inf + 1 73.167 * * [simplify]: Extracting #4: cost 306 inf + 6 73.169 * * [simplify]: Extracting #5: cost 338 inf + 1810 73.177 * * [simplify]: Extracting #6: cost 242 inf + 27932 73.210 * * [simplify]: Extracting #7: cost 28 inf + 100762 73.237 * * [simplify]: Extracting #8: cost 0 inf + 110036 73.269 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 73.270 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 73.270 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 73.270 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 73.270 * * [simplify]: iters left: 6 (15 enodes) 73.276 * * [simplify]: iters left: 5 (62 enodes) 73.293 * * [simplify]: iters left: 4 (150 enodes) 73.406 * * [simplify]: Extracting #0: cost 1 inf + 0 73.406 * * [simplify]: Extracting #1: cost 3 inf + 0 73.406 * * [simplify]: Extracting #2: cost 9 inf + 0 73.406 * * [simplify]: Extracting #3: cost 105 inf + 2 73.407 * * [simplify]: Extracting #4: cost 286 inf + 6 73.408 * * [simplify]: Extracting #5: cost 280 inf + 1923 73.415 * * [simplify]: Extracting #6: cost 191 inf + 25190 73.446 * * [simplify]: Extracting #7: cost 26 inf + 76271 73.467 * * [simplify]: Extracting #8: cost 0 inf + 85028 73.493 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 73.494 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 73.494 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 73.494 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 73.494 * * [simplify]: iters left: 6 (12 enodes) 73.498 * * [simplify]: iters left: 5 (49 enodes) 73.507 * * [simplify]: iters left: 4 (102 enodes) 73.531 * * [simplify]: iters left: 3 (356 enodes) 73.730 * * [simplify]: Extracting #0: cost 1 inf + 0 73.730 * * [simplify]: Extracting #1: cost 4 inf + 0 73.730 * * [simplify]: Extracting #2: cost 116 inf + 1 73.732 * * [simplify]: Extracting #3: cost 234 inf + 254 73.736 * * [simplify]: Extracting #4: cost 192 inf + 4198 73.749 * * [simplify]: Extracting #5: cost 121 inf + 19235 73.775 * * [simplify]: Extracting #6: cost 5 inf + 46310 73.804 * * [simplify]: Extracting #7: cost 0 inf + 47117 73.833 * * [simplify]: Extracting #8: cost 0 inf + 46998 73.857 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 73.857 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 73.858 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 73.858 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 73.858 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 73.858 * * [simplify]: iters left: 6 (13 enodes) 73.862 * * [simplify]: iters left: 5 (52 enodes) 73.872 * * [simplify]: iters left: 4 (105 enodes) 73.909 * * [simplify]: iters left: 3 (359 enodes) 74.106 * * [simplify]: Extracting #0: cost 1 inf + 0 74.106 * * [simplify]: Extracting #1: cost 3 inf + 0 74.106 * * [simplify]: Extracting #2: cost 6 inf + 0 74.106 * * [simplify]: Extracting #3: cost 118 inf + 1 74.107 * * [simplify]: Extracting #4: cost 235 inf + 336 74.108 * * [simplify]: Extracting #5: cost 193 inf + 4402 74.112 * * [simplify]: Extracting #6: cost 119 inf + 19348 74.133 * * [simplify]: Extracting #7: cost 7 inf + 46040 74.166 * * [simplify]: Extracting #8: cost 0 inf + 47488 74.180 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 74.180 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.181 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 74.181 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))> 74.181 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 74.181 * [simplify]: Simplifying 1 74.181 * * [simplify]: iters left: 0 (1 enodes) 74.182 * * [simplify]: Extracting #0: cost 1 inf + 0 74.182 * * [simplify]: Extracting #1: cost 0 inf + 1 74.182 * [simplify]: Simplified to 1 74.182 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J))))))) 74.182 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 74.182 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.183 * * [simplify]: iters left: 6 (9 enodes) 74.185 * * [simplify]: iters left: 5 (34 enodes) 74.190 * * [simplify]: iters left: 4 (56 enodes) 74.203 * * [simplify]: iters left: 3 (90 enodes) 74.228 * * [simplify]: iters left: 2 (114 enodes) 74.260 * * [simplify]: iters left: 1 (131 enodes) 74.296 * * [simplify]: Extracting #0: cost 1 inf + 0 74.296 * * [simplify]: Extracting #1: cost 22 inf + 0 74.296 * * [simplify]: Extracting #2: cost 37 inf + 3 74.296 * * [simplify]: Extracting #3: cost 31 inf + 380 74.296 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.297 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.298 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.299 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.300 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))))))) 74.300 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 74.300 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.300 * * [simplify]: iters left: 6 (9 enodes) 74.302 * * [simplify]: iters left: 5 (34 enodes) 74.308 * * [simplify]: iters left: 4 (56 enodes) 74.316 * * [simplify]: iters left: 3 (90 enodes) 74.329 * * [simplify]: iters left: 2 (114 enodes) 74.345 * * [simplify]: iters left: 1 (131 enodes) 74.364 * * [simplify]: Extracting #0: cost 1 inf + 0 74.364 * * [simplify]: Extracting #1: cost 22 inf + 0 74.364 * * [simplify]: Extracting #2: cost 37 inf + 3 74.365 * * [simplify]: Extracting #3: cost 31 inf + 380 74.365 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.366 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.367 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.368 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.368 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))))))) 74.368 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 74.368 * [simplify]: Simplifying 1 74.368 * * [simplify]: iters left: 0 (1 enodes) 74.369 * * [simplify]: Extracting #0: cost 1 inf + 0 74.369 * * [simplify]: Extracting #1: cost 0 inf + 1 74.369 * [simplify]: Simplified to 1 74.369 * [simplify]: Simplified (2 2 1 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.370 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 74.370 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.370 * * [simplify]: iters left: 6 (9 enodes) 74.372 * * [simplify]: iters left: 5 (34 enodes) 74.377 * * [simplify]: iters left: 4 (56 enodes) 74.386 * * [simplify]: iters left: 3 (90 enodes) 74.399 * * [simplify]: iters left: 2 (114 enodes) 74.427 * * [simplify]: iters left: 1 (131 enodes) 74.466 * * [simplify]: Extracting #0: cost 1 inf + 0 74.466 * * [simplify]: Extracting #1: cost 22 inf + 0 74.467 * * [simplify]: Extracting #2: cost 37 inf + 3 74.467 * * [simplify]: Extracting #3: cost 31 inf + 380 74.468 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.470 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.471 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.472 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.472 * [simplify]: Simplified (2 2 1 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.472 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 74.472 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.472 * * [simplify]: iters left: 6 (9 enodes) 74.475 * * [simplify]: iters left: 5 (34 enodes) 74.480 * * [simplify]: iters left: 4 (56 enodes) 74.489 * * [simplify]: iters left: 3 (90 enodes) 74.510 * * [simplify]: iters left: 2 (114 enodes) 74.536 * * [simplify]: iters left: 1 (131 enodes) 74.559 * * [simplify]: Extracting #0: cost 1 inf + 0 74.559 * * [simplify]: Extracting #1: cost 22 inf + 0 74.559 * * [simplify]: Extracting #2: cost 37 inf + 3 74.559 * * [simplify]: Extracting #3: cost 31 inf + 380 74.560 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.562 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.564 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.567 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.567 * [simplify]: Simplified (2 2 1 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.567 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 74.567 * [simplify]: Simplifying 1 74.567 * * [simplify]: iters left: 0 (1 enodes) 74.569 * * [simplify]: Extracting #0: cost 1 inf + 0 74.569 * * [simplify]: Extracting #1: cost 0 inf + 1 74.569 * [simplify]: Simplified to 1 74.569 * [simplify]: Simplified (2 2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* 1 -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.569 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 74.570 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.570 * * [simplify]: iters left: 6 (9 enodes) 74.574 * * [simplify]: iters left: 5 (34 enodes) 74.580 * * [simplify]: iters left: 4 (56 enodes) 74.589 * * [simplify]: iters left: 3 (90 enodes) 74.602 * * [simplify]: iters left: 2 (114 enodes) 74.617 * * [simplify]: iters left: 1 (131 enodes) 74.648 * * [simplify]: Extracting #0: cost 1 inf + 0 74.649 * * [simplify]: Extracting #1: cost 22 inf + 0 74.649 * * [simplify]: Extracting #2: cost 37 inf + 3 74.649 * * [simplify]: Extracting #3: cost 31 inf + 380 74.649 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.650 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.651 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.652 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.653 * [simplify]: Simplified (2 2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.653 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 74.653 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.653 * * [simplify]: iters left: 6 (9 enodes) 74.655 * * [simplify]: iters left: 5 (34 enodes) 74.661 * * [simplify]: iters left: 4 (56 enodes) 74.669 * * [simplify]: iters left: 3 (90 enodes) 74.689 * * [simplify]: iters left: 2 (114 enodes) 74.705 * * [simplify]: iters left: 1 (131 enodes) 74.729 * * [simplify]: Extracting #0: cost 1 inf + 0 74.729 * * [simplify]: Extracting #1: cost 22 inf + 0 74.729 * * [simplify]: Extracting #2: cost 37 inf + 3 74.729 * * [simplify]: Extracting #3: cost 31 inf + 380 74.730 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.732 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.734 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.736 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.736 * [simplify]: Simplified (2 2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.737 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 74.737 * [simplify]: Simplifying 1 74.737 * * [simplify]: iters left: 0 (1 enodes) 74.739 * * [simplify]: Extracting #0: cost 1 inf + 0 74.739 * * [simplify]: Extracting #1: cost 0 inf + 1 74.739 * [simplify]: Simplified to 1 74.739 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.739 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 74.739 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.740 * * [simplify]: iters left: 6 (9 enodes) 74.744 * * [simplify]: iters left: 5 (34 enodes) 74.754 * * [simplify]: iters left: 4 (56 enodes) 74.769 * * [simplify]: iters left: 3 (90 enodes) 74.782 * * [simplify]: iters left: 2 (114 enodes) 74.800 * * [simplify]: iters left: 1 (131 enodes) 74.838 * * [simplify]: Extracting #0: cost 1 inf + 0 74.838 * * [simplify]: Extracting #1: cost 22 inf + 0 74.839 * * [simplify]: Extracting #2: cost 37 inf + 3 74.839 * * [simplify]: Extracting #3: cost 31 inf + 380 74.839 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.840 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.841 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.842 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.842 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.842 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 74.843 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 74.843 * * [simplify]: iters left: 6 (9 enodes) 74.845 * * [simplify]: iters left: 5 (34 enodes) 74.850 * * [simplify]: iters left: 4 (56 enodes) 74.859 * * [simplify]: iters left: 3 (90 enodes) 74.874 * * [simplify]: iters left: 2 (114 enodes) 74.890 * * [simplify]: iters left: 1 (131 enodes) 74.909 * * [simplify]: Extracting #0: cost 1 inf + 0 74.909 * * [simplify]: Extracting #1: cost 22 inf + 0 74.909 * * [simplify]: Extracting #2: cost 37 inf + 3 74.910 * * [simplify]: Extracting #3: cost 31 inf + 380 74.910 * * [simplify]: Extracting #4: cost 17 inf + 1834 74.911 * * [simplify]: Extracting #5: cost 3 inf + 4117 74.912 * * [simplify]: Extracting #6: cost 0 inf + 4586 74.913 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 74.913 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))) 74.913 * * * [progress]: adding candidates to table 76.351 * * [progress]: iteration 4 / 4 76.351 * * * [progress]: picking best candidate 76.399 * * * * [pick]: Picked # 76.399 * * * [progress]: localizing error 76.457 * * * [progress]: generating rewritten candidates 76.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 76.626 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 77.094 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 77.095 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 77.097 * * * [progress]: generating series expansions 77.097 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 77.097 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 77.097 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 77.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 77.097 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 77.097 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 77.097 * [taylor]: Taking taylor expansion of 1/4 in J 77.097 * [backup-simplify]: Simplify 1/4 into 1/4 77.097 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 77.097 * [taylor]: Taking taylor expansion of (pow U 2) in J 77.097 * [taylor]: Taking taylor expansion of U in J 77.097 * [backup-simplify]: Simplify U into U 77.097 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 77.097 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 77.097 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 77.097 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 77.097 * [taylor]: Taking taylor expansion of 1/2 in J 77.097 * [backup-simplify]: Simplify 1/2 into 1/2 77.097 * [taylor]: Taking taylor expansion of K in J 77.097 * [backup-simplify]: Simplify K into K 77.097 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.097 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.097 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.097 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 77.097 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 77.098 * [backup-simplify]: Simplify (- 0) into 0 77.098 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 77.098 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.098 * [taylor]: Taking taylor expansion of J in J 77.098 * [backup-simplify]: Simplify 0 into 0 77.098 * [backup-simplify]: Simplify 1 into 1 77.098 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.098 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 77.099 * [backup-simplify]: Simplify (* 1 1) into 1 77.099 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 77.099 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 77.099 * [taylor]: Taking taylor expansion of 1 in J 77.099 * [backup-simplify]: Simplify 1 into 1 77.099 * [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))) 77.099 * [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))) 77.099 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 77.099 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.100 * [backup-simplify]: Simplify (+ 0) into 0 77.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 77.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 77.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.101 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 77.102 * [backup-simplify]: Simplify (- 0) into 0 77.102 * [backup-simplify]: Simplify (+ 0 0) into 0 77.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 77.102 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 77.103 * [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 77.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 77.103 * [backup-simplify]: Simplify (+ 0 0) into 0 77.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 77.103 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 77.103 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 77.103 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 77.103 * [taylor]: Taking taylor expansion of 1/4 in K 77.103 * [backup-simplify]: Simplify 1/4 into 1/4 77.103 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 77.104 * [taylor]: Taking taylor expansion of (pow U 2) in K 77.104 * [taylor]: Taking taylor expansion of U in K 77.104 * [backup-simplify]: Simplify U into U 77.104 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 77.104 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 77.104 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 77.104 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 77.104 * [taylor]: Taking taylor expansion of 1/2 in K 77.104 * [backup-simplify]: Simplify 1/2 into 1/2 77.104 * [taylor]: Taking taylor expansion of K in K 77.104 * [backup-simplify]: Simplify 0 into 0 77.104 * [backup-simplify]: Simplify 1 into 1 77.104 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.104 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 77.104 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.104 * [taylor]: Taking taylor expansion of J in K 77.104 * [backup-simplify]: Simplify J into J 77.104 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.105 * [backup-simplify]: Simplify (* 1 1) into 1 77.105 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.105 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 77.105 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 77.105 * [taylor]: Taking taylor expansion of 1 in K 77.105 * [backup-simplify]: Simplify 1 into 1 77.105 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 77.105 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 77.105 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 77.105 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.105 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.106 * [backup-simplify]: Simplify (+ 0) into 0 77.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 77.106 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 77.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 77.107 * [backup-simplify]: Simplify (+ 0 0) into 0 77.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 77.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 77.107 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 77.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 77.107 * [taylor]: Taking taylor expansion of 1/4 in U 77.107 * [backup-simplify]: Simplify 1/4 into 1/4 77.107 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 77.107 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.107 * [taylor]: Taking taylor expansion of U in U 77.107 * [backup-simplify]: Simplify 0 into 0 77.107 * [backup-simplify]: Simplify 1 into 1 77.107 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 77.107 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 77.107 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 77.107 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 77.107 * [taylor]: Taking taylor expansion of 1/2 in U 77.108 * [backup-simplify]: Simplify 1/2 into 1/2 77.108 * [taylor]: Taking taylor expansion of K in U 77.108 * [backup-simplify]: Simplify K into K 77.108 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.108 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.108 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.108 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 77.108 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 77.108 * [backup-simplify]: Simplify (- 0) into 0 77.108 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 77.108 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.108 * [taylor]: Taking taylor expansion of J in U 77.108 * [backup-simplify]: Simplify J into J 77.108 * [backup-simplify]: Simplify (* 1 1) into 1 77.108 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 77.108 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.109 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 77.109 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 77.109 * [taylor]: Taking taylor expansion of 1 in U 77.109 * [backup-simplify]: Simplify 1 into 1 77.109 * [backup-simplify]: Simplify (+ 0 1) into 1 77.109 * [backup-simplify]: Simplify (sqrt 1) into 1 77.109 * [backup-simplify]: Simplify (+ 0 0) into 0 77.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.110 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 77.110 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 77.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 77.110 * [taylor]: Taking taylor expansion of 1/4 in U 77.110 * [backup-simplify]: Simplify 1/4 into 1/4 77.110 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 77.110 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.110 * [taylor]: Taking taylor expansion of U in U 77.110 * [backup-simplify]: Simplify 0 into 0 77.110 * [backup-simplify]: Simplify 1 into 1 77.110 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 77.110 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 77.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 77.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 77.110 * [taylor]: Taking taylor expansion of 1/2 in U 77.110 * [backup-simplify]: Simplify 1/2 into 1/2 77.110 * [taylor]: Taking taylor expansion of K in U 77.110 * [backup-simplify]: Simplify K into K 77.110 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.110 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.110 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.110 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 77.110 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 77.111 * [backup-simplify]: Simplify (- 0) into 0 77.111 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 77.111 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.111 * [taylor]: Taking taylor expansion of J in U 77.111 * [backup-simplify]: Simplify J into J 77.111 * [backup-simplify]: Simplify (* 1 1) into 1 77.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 77.111 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.111 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 77.111 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 77.111 * [taylor]: Taking taylor expansion of 1 in U 77.111 * [backup-simplify]: Simplify 1 into 1 77.112 * [backup-simplify]: Simplify (+ 0 1) into 1 77.112 * [backup-simplify]: Simplify (sqrt 1) into 1 77.112 * [backup-simplify]: Simplify (+ 0 0) into 0 77.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.113 * [taylor]: Taking taylor expansion of 1 in K 77.113 * [backup-simplify]: Simplify 1 into 1 77.113 * [taylor]: Taking taylor expansion of 1 in J 77.113 * [backup-simplify]: Simplify 1 into 1 77.113 * [taylor]: Taking taylor expansion of 0 in K 77.113 * [backup-simplify]: Simplify 0 into 0 77.113 * [taylor]: Taking taylor expansion of 0 in J 77.113 * [backup-simplify]: Simplify 0 into 0 77.113 * [taylor]: Taking taylor expansion of 0 in J 77.113 * [backup-simplify]: Simplify 0 into 0 77.113 * [backup-simplify]: Simplify 1 into 1 77.113 * [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))) 77.113 * [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)))) 77.114 * [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))) 77.114 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 77.114 * [taylor]: Taking taylor expansion of 1/8 in K 77.114 * [backup-simplify]: Simplify 1/8 into 1/8 77.114 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 77.114 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 77.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 77.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 77.114 * [taylor]: Taking taylor expansion of 1/2 in K 77.114 * [backup-simplify]: Simplify 1/2 into 1/2 77.115 * [taylor]: Taking taylor expansion of K in K 77.115 * [backup-simplify]: Simplify 0 into 0 77.115 * [backup-simplify]: Simplify 1 into 1 77.115 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.115 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 77.115 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.115 * [taylor]: Taking taylor expansion of J in K 77.115 * [backup-simplify]: Simplify J into J 77.116 * [backup-simplify]: Simplify (* 1 1) into 1 77.116 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.116 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 77.116 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 77.116 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 77.116 * [taylor]: Taking taylor expansion of 1/8 in J 77.116 * [backup-simplify]: Simplify 1/8 into 1/8 77.116 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.116 * [taylor]: Taking taylor expansion of J in J 77.116 * [backup-simplify]: Simplify 0 into 0 77.116 * [backup-simplify]: Simplify 1 into 1 77.116 * [backup-simplify]: Simplify (* 1 1) into 1 77.116 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 77.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 77.117 * [backup-simplify]: Simplify 0 into 0 77.117 * [taylor]: Taking taylor expansion of 0 in J 77.117 * [backup-simplify]: Simplify 0 into 0 77.117 * [taylor]: Taking taylor expansion of 0 in J 77.117 * [backup-simplify]: Simplify 0 into 0 77.117 * [backup-simplify]: Simplify 0 into 0 77.117 * [backup-simplify]: Simplify 0 into 0 77.117 * [backup-simplify]: Simplify 0 into 0 77.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.118 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.118 * [backup-simplify]: Simplify (+ 0) into 0 77.118 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 77.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 77.119 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.119 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 77.120 * [backup-simplify]: Simplify (- 0) into 0 77.120 * [backup-simplify]: Simplify (+ 0 0) into 0 77.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 77.120 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 77.120 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 77.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 77.121 * [backup-simplify]: Simplify (+ 0 0) into 0 77.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 77.121 * [taylor]: Taking taylor expansion of 0 in K 77.121 * [backup-simplify]: Simplify 0 into 0 77.122 * [taylor]: Taking taylor expansion of 0 in J 77.122 * [backup-simplify]: Simplify 0 into 0 77.122 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.122 * [backup-simplify]: Simplify (+ 0) into 0 77.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 77.123 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 77.123 * [taylor]: Taking taylor expansion of 0 in J 77.123 * [backup-simplify]: Simplify 0 into 0 77.123 * [taylor]: Taking taylor expansion of 0 in J 77.123 * [backup-simplify]: Simplify 0 into 0 77.123 * [taylor]: Taking taylor expansion of 0 in J 77.123 * [backup-simplify]: Simplify 0 into 0 77.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 77.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.124 * [backup-simplify]: Simplify 0 into 0 77.124 * [backup-simplify]: Simplify 0 into 0 77.124 * [backup-simplify]: Simplify 1 into 1 77.124 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 77.124 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 77.124 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 77.124 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 77.124 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 77.124 * [taylor]: Taking taylor expansion of 1/4 in J 77.124 * [backup-simplify]: Simplify 1/4 into 1/4 77.124 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 77.125 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.125 * [taylor]: Taking taylor expansion of J in J 77.125 * [backup-simplify]: Simplify 0 into 0 77.125 * [backup-simplify]: Simplify 1 into 1 77.125 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 77.125 * [taylor]: Taking taylor expansion of (pow U 2) in J 77.125 * [taylor]: Taking taylor expansion of U in J 77.125 * [backup-simplify]: Simplify U into U 77.125 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 77.125 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 77.125 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 77.125 * [taylor]: Taking taylor expansion of 1/2 in J 77.125 * [backup-simplify]: Simplify 1/2 into 1/2 77.125 * [taylor]: Taking taylor expansion of K in J 77.125 * [backup-simplify]: Simplify K into K 77.125 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.125 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.125 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.125 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.125 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.125 * [backup-simplify]: Simplify (- 0) into 0 77.125 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.126 * [backup-simplify]: Simplify (* 1 1) into 1 77.126 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.126 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.126 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 77.126 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 77.126 * [taylor]: Taking taylor expansion of 1 in J 77.126 * [backup-simplify]: Simplify 1 into 1 77.127 * [backup-simplify]: Simplify (+ 0 1) into 1 77.127 * [backup-simplify]: Simplify (sqrt 1) into 1 77.127 * [backup-simplify]: Simplify (+ 0 0) into 0 77.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.128 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 77.128 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 77.128 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 77.128 * [taylor]: Taking taylor expansion of 1/4 in K 77.128 * [backup-simplify]: Simplify 1/4 into 1/4 77.128 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 77.128 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.128 * [taylor]: Taking taylor expansion of J in K 77.128 * [backup-simplify]: Simplify J into J 77.128 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 77.128 * [taylor]: Taking taylor expansion of (pow U 2) in K 77.128 * [taylor]: Taking taylor expansion of U in K 77.129 * [backup-simplify]: Simplify U into U 77.129 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 77.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 77.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 77.129 * [taylor]: Taking taylor expansion of 1/2 in K 77.129 * [backup-simplify]: Simplify 1/2 into 1/2 77.129 * [taylor]: Taking taylor expansion of K in K 77.129 * [backup-simplify]: Simplify 0 into 0 77.129 * [backup-simplify]: Simplify 1 into 1 77.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 77.132 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.132 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.132 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.132 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.132 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 77.132 * [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))) 77.132 * [taylor]: Taking taylor expansion of 1 in K 77.132 * [backup-simplify]: Simplify 1 into 1 77.133 * [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)))) 77.133 * [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) 77.133 * [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)) 77.133 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.133 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.133 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 77.134 * [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 77.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 77.135 * [backup-simplify]: Simplify (+ 0 0) into 0 77.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 77.135 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 77.135 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 77.135 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 77.135 * [taylor]: Taking taylor expansion of 1/4 in U 77.135 * [backup-simplify]: Simplify 1/4 into 1/4 77.135 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 77.135 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.135 * [taylor]: Taking taylor expansion of J in U 77.135 * [backup-simplify]: Simplify J into J 77.135 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 77.135 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.135 * [taylor]: Taking taylor expansion of U in U 77.135 * [backup-simplify]: Simplify 0 into 0 77.135 * [backup-simplify]: Simplify 1 into 1 77.135 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 77.135 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 77.135 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 77.135 * [taylor]: Taking taylor expansion of 1/2 in U 77.135 * [backup-simplify]: Simplify 1/2 into 1/2 77.135 * [taylor]: Taking taylor expansion of K in U 77.135 * [backup-simplify]: Simplify K into K 77.135 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.135 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.135 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.135 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.135 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.136 * [backup-simplify]: Simplify (- 0) into 0 77.136 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.136 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.136 * [backup-simplify]: Simplify (* 1 1) into 1 77.136 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.136 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 77.136 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 77.136 * [taylor]: Taking taylor expansion of 1 in U 77.136 * [backup-simplify]: Simplify 1 into 1 77.136 * [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))) 77.137 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 77.137 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 77.137 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.137 * [backup-simplify]: Simplify (+ 0) into 0 77.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.137 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.138 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.138 * [backup-simplify]: Simplify (- 0) into 0 77.139 * [backup-simplify]: Simplify (+ 0 0) into 0 77.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 77.140 * [backup-simplify]: 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 77.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 77.140 * [backup-simplify]: Simplify (+ 0 0) into 0 77.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 77.140 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 77.140 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 77.140 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 77.141 * [taylor]: Taking taylor expansion of 1/4 in U 77.141 * [backup-simplify]: Simplify 1/4 into 1/4 77.141 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 77.141 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.141 * [taylor]: Taking taylor expansion of J in U 77.141 * [backup-simplify]: Simplify J into J 77.141 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 77.141 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.141 * [taylor]: Taking taylor expansion of U in U 77.141 * [backup-simplify]: Simplify 0 into 0 77.141 * [backup-simplify]: Simplify 1 into 1 77.141 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 77.141 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 77.141 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 77.141 * [taylor]: Taking taylor expansion of 1/2 in U 77.141 * [backup-simplify]: Simplify 1/2 into 1/2 77.141 * [taylor]: Taking taylor expansion of K in U 77.141 * [backup-simplify]: Simplify K into K 77.141 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.141 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.141 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.141 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.141 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.141 * [backup-simplify]: Simplify (- 0) into 0 77.141 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.141 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.142 * [backup-simplify]: Simplify (* 1 1) into 1 77.142 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.142 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 77.142 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 77.142 * [taylor]: Taking taylor expansion of 1 in U 77.142 * [backup-simplify]: Simplify 1 into 1 77.142 * [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))) 77.142 * [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))) 77.142 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 77.142 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.143 * [backup-simplify]: Simplify (+ 0) into 0 77.143 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.143 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.144 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.144 * [backup-simplify]: Simplify (- 0) into 0 77.144 * [backup-simplify]: Simplify (+ 0 0) into 0 77.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 77.145 * [backup-simplify]: 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 77.146 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 77.146 * [backup-simplify]: Simplify (+ 0 0) into 0 77.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 77.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 77.146 * [taylor]: Taking taylor expansion of 1/2 in K 77.146 * [backup-simplify]: Simplify 1/2 into 1/2 77.146 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 77.146 * [taylor]: Taking taylor expansion of J in K 77.146 * [backup-simplify]: Simplify J into J 77.146 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 77.146 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 77.146 * [taylor]: Taking taylor expansion of 1/2 in K 77.146 * [backup-simplify]: Simplify 1/2 into 1/2 77.146 * [taylor]: Taking taylor expansion of K in K 77.146 * [backup-simplify]: Simplify 0 into 0 77.146 * [backup-simplify]: Simplify 1 into 1 77.146 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 77.147 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.147 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 77.147 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 77.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 77.147 * [taylor]: Taking taylor expansion of 1/2 in J 77.147 * [backup-simplify]: Simplify 1/2 into 1/2 77.147 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 77.147 * [taylor]: Taking taylor expansion of J in J 77.147 * [backup-simplify]: Simplify 0 into 0 77.147 * [backup-simplify]: Simplify 1 into 1 77.147 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 77.147 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 77.147 * [taylor]: Taking taylor expansion of 1/2 in J 77.147 * [backup-simplify]: Simplify 1/2 into 1/2 77.147 * [taylor]: Taking taylor expansion of K in J 77.147 * [backup-simplify]: Simplify K into K 77.147 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.147 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.147 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.147 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.147 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.147 * [backup-simplify]: Simplify (- 0) into 0 77.147 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.147 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 77.147 * [taylor]: Taking taylor expansion of 0 in K 77.147 * [backup-simplify]: Simplify 0 into 0 77.147 * [taylor]: Taking taylor expansion of 0 in J 77.147 * [backup-simplify]: Simplify 0 into 0 77.147 * [backup-simplify]: Simplify 0 into 0 77.148 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 77.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 77.148 * [taylor]: Taking taylor expansion of 0 in J 77.148 * [backup-simplify]: Simplify 0 into 0 77.148 * [backup-simplify]: Simplify 0 into 0 77.148 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 77.148 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 77.148 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 77.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.149 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.150 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.150 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.151 * [backup-simplify]: Simplify (- 0) into 0 77.151 * [backup-simplify]: Simplify (+ 0 0) into 0 77.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 77.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 77.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 77.152 * [backup-simplify]: 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 77.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 77.153 * [backup-simplify]: Simplify (+ 0 1) into 1 77.154 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 77.154 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 77.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 77.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 77.154 * [taylor]: Taking taylor expansion of 1/2 in K 77.154 * [backup-simplify]: Simplify 1/2 into 1/2 77.154 * [taylor]: Taking taylor expansion of K in K 77.154 * [backup-simplify]: Simplify 0 into 0 77.154 * [backup-simplify]: Simplify 1 into 1 77.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 77.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.154 * [taylor]: Taking taylor expansion of J in K 77.154 * [backup-simplify]: Simplify J into J 77.154 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 77.154 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 77.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 77.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 77.155 * [taylor]: Taking taylor expansion of 1/2 in J 77.155 * [backup-simplify]: Simplify 1/2 into 1/2 77.155 * [taylor]: Taking taylor expansion of K in J 77.155 * [backup-simplify]: Simplify K into K 77.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.155 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.155 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.155 * [taylor]: Taking taylor expansion of J in J 77.155 * [backup-simplify]: Simplify 0 into 0 77.155 * [backup-simplify]: Simplify 1 into 1 77.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.155 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.155 * [backup-simplify]: Simplify (- 0) into 0 77.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.155 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.155 * [backup-simplify]: Simplify (+ 0) into 0 77.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.157 * [backup-simplify]: Simplify (- 0) into 0 77.157 * [backup-simplify]: Simplify (+ 0 0) into 0 77.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 77.158 * [backup-simplify]: Simplify 0 into 0 77.158 * [taylor]: Taking taylor expansion of 0 in J 77.158 * [backup-simplify]: Simplify 0 into 0 77.158 * [backup-simplify]: Simplify 0 into 0 77.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 77.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 77.158 * [taylor]: Taking taylor expansion of 0 in J 77.158 * [backup-simplify]: Simplify 0 into 0 77.159 * [backup-simplify]: Simplify 0 into 0 77.159 * [backup-simplify]: Simplify 0 into 0 77.159 * [backup-simplify]: Simplify 0 into 0 77.159 * [backup-simplify]: Simplify (+ 0) into 0 77.159 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.160 * [backup-simplify]: Simplify (- 0) into 0 77.160 * [backup-simplify]: Simplify (+ 0 0) into 0 77.161 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 77.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 77.161 * [backup-simplify]: Simplify 0 into 0 77.161 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 77.161 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 77.161 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 77.161 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 77.161 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 77.161 * [taylor]: Taking taylor expansion of 1 in J 77.162 * [backup-simplify]: Simplify 1 into 1 77.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 77.162 * [taylor]: Taking taylor expansion of 1/4 in J 77.162 * [backup-simplify]: Simplify 1/4 into 1/4 77.162 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 77.162 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.162 * [taylor]: Taking taylor expansion of J in J 77.162 * [backup-simplify]: Simplify 0 into 0 77.162 * [backup-simplify]: Simplify 1 into 1 77.162 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 77.162 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 77.162 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 77.162 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 77.162 * [taylor]: Taking taylor expansion of -1/2 in J 77.162 * [backup-simplify]: Simplify -1/2 into -1/2 77.162 * [taylor]: Taking taylor expansion of K in J 77.162 * [backup-simplify]: Simplify K into K 77.162 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.162 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.162 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.162 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.162 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.162 * [backup-simplify]: Simplify (- 0) into 0 77.162 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.162 * [taylor]: Taking taylor expansion of (pow U 2) in J 77.162 * [taylor]: Taking taylor expansion of U in J 77.162 * [backup-simplify]: Simplify U into U 77.163 * [backup-simplify]: Simplify (* 1 1) into 1 77.163 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.163 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.163 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 77.163 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 77.163 * [backup-simplify]: Simplify (+ 1 0) into 1 77.163 * [backup-simplify]: Simplify (sqrt 1) into 1 77.164 * [backup-simplify]: Simplify (+ 0 0) into 0 77.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.164 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 77.164 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 77.164 * [taylor]: Taking taylor expansion of 1 in K 77.164 * [backup-simplify]: Simplify 1 into 1 77.164 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 77.164 * [taylor]: Taking taylor expansion of 1/4 in K 77.164 * [backup-simplify]: Simplify 1/4 into 1/4 77.164 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 77.164 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.164 * [taylor]: Taking taylor expansion of J in K 77.164 * [backup-simplify]: Simplify J into J 77.164 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 77.164 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 77.164 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 77.164 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 77.164 * [taylor]: Taking taylor expansion of -1/2 in K 77.164 * [backup-simplify]: Simplify -1/2 into -1/2 77.164 * [taylor]: Taking taylor expansion of K in K 77.164 * [backup-simplify]: Simplify 0 into 0 77.164 * [backup-simplify]: Simplify 1 into 1 77.165 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 77.165 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.165 * [taylor]: Taking taylor expansion of (pow U 2) in K 77.165 * [taylor]: Taking taylor expansion of U in K 77.165 * [backup-simplify]: Simplify U into U 77.165 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.165 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.165 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.165 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 77.165 * [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))) 77.165 * [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)))) 77.165 * [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))))) 77.166 * [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)))))) 77.166 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.166 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.166 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 77.166 * [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 77.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 77.167 * [backup-simplify]: Simplify (+ 0 0) into 0 77.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 77.167 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 77.167 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 77.167 * [taylor]: Taking taylor expansion of 1 in U 77.167 * [backup-simplify]: Simplify 1 into 1 77.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 77.167 * [taylor]: Taking taylor expansion of 1/4 in U 77.167 * [backup-simplify]: Simplify 1/4 into 1/4 77.167 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 77.167 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.167 * [taylor]: Taking taylor expansion of J in U 77.167 * [backup-simplify]: Simplify J into J 77.167 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 77.167 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 77.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 77.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 77.167 * [taylor]: Taking taylor expansion of -1/2 in U 77.168 * [backup-simplify]: Simplify -1/2 into -1/2 77.168 * [taylor]: Taking taylor expansion of K in U 77.168 * [backup-simplify]: Simplify K into K 77.168 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.168 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.168 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.168 * [backup-simplify]: Simplify (- 0) into 0 77.168 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.168 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.168 * [taylor]: Taking taylor expansion of U in U 77.168 * [backup-simplify]: Simplify 0 into 0 77.168 * [backup-simplify]: Simplify 1 into 1 77.168 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.169 * [backup-simplify]: Simplify (* 1 1) into 1 77.169 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 77.169 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 77.169 * [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))) 77.169 * [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))) 77.169 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 77.169 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.170 * [backup-simplify]: Simplify (+ 0) into 0 77.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.171 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.171 * [backup-simplify]: Simplify (- 0) into 0 77.172 * [backup-simplify]: Simplify (+ 0 0) into 0 77.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.172 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 77.172 * [backup-simplify]: 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 77.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 77.173 * [backup-simplify]: Simplify (+ 0 0) into 0 77.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 77.173 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 77.173 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 77.173 * [taylor]: Taking taylor expansion of 1 in U 77.173 * [backup-simplify]: Simplify 1 into 1 77.173 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 77.173 * [taylor]: Taking taylor expansion of 1/4 in U 77.173 * [backup-simplify]: Simplify 1/4 into 1/4 77.173 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 77.173 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.173 * [taylor]: Taking taylor expansion of J in U 77.173 * [backup-simplify]: Simplify J into J 77.173 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 77.173 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 77.173 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 77.173 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 77.173 * [taylor]: Taking taylor expansion of -1/2 in U 77.173 * [backup-simplify]: Simplify -1/2 into -1/2 77.173 * [taylor]: Taking taylor expansion of K in U 77.173 * [backup-simplify]: Simplify K into K 77.173 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.173 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.174 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.174 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.174 * [backup-simplify]: Simplify (- 0) into 0 77.174 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.174 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.174 * [taylor]: Taking taylor expansion of U in U 77.174 * [backup-simplify]: Simplify 0 into 0 77.174 * [backup-simplify]: Simplify 1 into 1 77.174 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.175 * [backup-simplify]: Simplify (* 1 1) into 1 77.175 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 77.175 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 77.175 * [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))) 77.176 * [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))) 77.176 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 77.176 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.177 * [backup-simplify]: Simplify (+ 0) into 0 77.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.179 * [backup-simplify]: Simplify (- 0) into 0 77.180 * [backup-simplify]: Simplify (+ 0 0) into 0 77.180 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.180 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 77.181 * [backup-simplify]: 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 77.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 77.182 * [backup-simplify]: Simplify (+ 0 0) into 0 77.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 77.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 77.182 * [taylor]: Taking taylor expansion of 1/2 in K 77.182 * [backup-simplify]: Simplify 1/2 into 1/2 77.182 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 77.182 * [taylor]: Taking taylor expansion of J in K 77.182 * [backup-simplify]: Simplify J into J 77.182 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 77.182 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 77.182 * [taylor]: Taking taylor expansion of -1/2 in K 77.182 * [backup-simplify]: Simplify -1/2 into -1/2 77.182 * [taylor]: Taking taylor expansion of K in K 77.182 * [backup-simplify]: Simplify 0 into 0 77.182 * [backup-simplify]: Simplify 1 into 1 77.183 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 77.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.183 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 77.183 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 77.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 77.183 * [taylor]: Taking taylor expansion of 1/2 in J 77.183 * [backup-simplify]: Simplify 1/2 into 1/2 77.183 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 77.183 * [taylor]: Taking taylor expansion of J in J 77.183 * [backup-simplify]: Simplify 0 into 0 77.183 * [backup-simplify]: Simplify 1 into 1 77.183 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 77.183 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 77.183 * [taylor]: Taking taylor expansion of -1/2 in J 77.183 * [backup-simplify]: Simplify -1/2 into -1/2 77.183 * [taylor]: Taking taylor expansion of K in J 77.183 * [backup-simplify]: Simplify K into K 77.183 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.184 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.184 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.184 * [backup-simplify]: Simplify (- 0) into 0 77.184 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.184 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 77.184 * [taylor]: Taking taylor expansion of 0 in K 77.184 * [backup-simplify]: Simplify 0 into 0 77.184 * [taylor]: Taking taylor expansion of 0 in J 77.184 * [backup-simplify]: Simplify 0 into 0 77.184 * [backup-simplify]: Simplify 0 into 0 77.185 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 77.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 77.185 * [taylor]: Taking taylor expansion of 0 in J 77.185 * [backup-simplify]: Simplify 0 into 0 77.185 * [backup-simplify]: Simplify 0 into 0 77.185 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 77.185 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 77.186 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 77.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 77.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.188 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.189 * [backup-simplify]: Simplify (- 0) into 0 77.189 * [backup-simplify]: Simplify (+ 0 0) into 0 77.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 77.190 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 77.190 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 77.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 77.191 * [backup-simplify]: Simplify (+ 1 0) into 1 77.192 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 77.192 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 77.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 77.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 77.192 * [taylor]: Taking taylor expansion of -1/2 in K 77.192 * [backup-simplify]: Simplify -1/2 into -1/2 77.192 * [taylor]: Taking taylor expansion of K in K 77.192 * [backup-simplify]: Simplify 0 into 0 77.192 * [backup-simplify]: Simplify 1 into 1 77.192 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 77.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.192 * [taylor]: Taking taylor expansion of J in K 77.192 * [backup-simplify]: Simplify J into J 77.192 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 77.192 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 77.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 77.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 77.192 * [taylor]: Taking taylor expansion of -1/2 in J 77.192 * [backup-simplify]: Simplify -1/2 into -1/2 77.192 * [taylor]: Taking taylor expansion of K in J 77.192 * [backup-simplify]: Simplify K into K 77.192 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.192 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.192 * [taylor]: Taking taylor expansion of J in J 77.192 * [backup-simplify]: Simplify 0 into 0 77.192 * [backup-simplify]: Simplify 1 into 1 77.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.193 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.193 * [backup-simplify]: Simplify (- 0) into 0 77.193 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.193 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.193 * [backup-simplify]: Simplify (+ 0) into 0 77.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.194 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.195 * [backup-simplify]: Simplify (- 0) into 0 77.195 * [backup-simplify]: Simplify (+ 0 0) into 0 77.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 77.195 * [backup-simplify]: Simplify 0 into 0 77.195 * [taylor]: Taking taylor expansion of 0 in J 77.195 * [backup-simplify]: Simplify 0 into 0 77.195 * [backup-simplify]: Simplify 0 into 0 77.196 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 77.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 77.196 * [taylor]: Taking taylor expansion of 0 in J 77.196 * [backup-simplify]: Simplify 0 into 0 77.196 * [backup-simplify]: Simplify 0 into 0 77.196 * [backup-simplify]: Simplify 0 into 0 77.196 * [backup-simplify]: Simplify 0 into 0 77.197 * [backup-simplify]: Simplify (+ 0) into 0 77.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.197 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.198 * [backup-simplify]: Simplify (- 0) into 0 77.198 * [backup-simplify]: Simplify (+ 0 0) into 0 77.198 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 77.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 77.199 * [backup-simplify]: Simplify 0 into 0 77.199 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 77.199 * * * * [progress]: [ 2 / 4 ] generating series at (2) 77.199 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 77.199 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 77.199 * [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 J 77.199 * [taylor]: Taking taylor expansion of -2 in J 77.199 * [backup-simplify]: Simplify -2 into -2 77.199 * [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 J 77.199 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 77.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 77.199 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 77.199 * [taylor]: Taking taylor expansion of 1/2 in J 77.199 * [backup-simplify]: Simplify 1/2 into 1/2 77.200 * [taylor]: Taking taylor expansion of K in J 77.200 * [backup-simplify]: Simplify K into K 77.200 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.200 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.200 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.200 * [taylor]: Taking taylor expansion of J in J 77.200 * [backup-simplify]: Simplify 0 into 0 77.200 * [backup-simplify]: Simplify 1 into 1 77.200 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 77.200 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 77.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 77.200 * [taylor]: Taking taylor expansion of 1/4 in J 77.200 * [backup-simplify]: Simplify 1/4 into 1/4 77.200 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 77.200 * [taylor]: Taking taylor expansion of (pow U 2) in J 77.200 * [taylor]: Taking taylor expansion of U in J 77.200 * [backup-simplify]: Simplify U into U 77.200 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 77.200 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 77.200 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 77.200 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 77.200 * [taylor]: Taking taylor expansion of 1/2 in J 77.200 * [backup-simplify]: Simplify 1/2 into 1/2 77.200 * [taylor]: Taking taylor expansion of K in J 77.200 * [backup-simplify]: Simplify K into K 77.200 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.200 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.200 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.200 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 77.200 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 77.200 * [backup-simplify]: Simplify (- 0) into 0 77.201 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 77.201 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.201 * [taylor]: Taking taylor expansion of J in J 77.201 * [backup-simplify]: Simplify 0 into 0 77.201 * [backup-simplify]: Simplify 1 into 1 77.201 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.201 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 77.201 * [backup-simplify]: Simplify (* 1 1) into 1 77.201 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 77.201 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 77.201 * [taylor]: Taking taylor expansion of 1 in J 77.201 * [backup-simplify]: Simplify 1 into 1 77.201 * [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))) 77.201 * [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))) 77.202 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 77.202 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.203 * [backup-simplify]: Simplify (+ 0) into 0 77.203 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 77.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 77.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.204 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 77.204 * [backup-simplify]: Simplify (- 0) into 0 77.205 * [backup-simplify]: Simplify (+ 0 0) into 0 77.205 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 77.205 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 77.205 * [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 77.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 77.206 * [backup-simplify]: Simplify (+ 0 0) into 0 77.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 77.206 * [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 77.206 * [taylor]: Taking taylor expansion of -2 in K 77.206 * [backup-simplify]: Simplify -2 into -2 77.206 * [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 77.206 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 77.206 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 77.206 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 77.206 * [taylor]: Taking taylor expansion of 1/2 in K 77.206 * [backup-simplify]: Simplify 1/2 into 1/2 77.206 * [taylor]: Taking taylor expansion of K in K 77.206 * [backup-simplify]: Simplify 0 into 0 77.206 * [backup-simplify]: Simplify 1 into 1 77.207 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.207 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 77.207 * [taylor]: Taking taylor expansion of J in K 77.207 * [backup-simplify]: Simplify J into J 77.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 77.207 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 77.207 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 77.207 * [taylor]: Taking taylor expansion of 1/4 in K 77.207 * [backup-simplify]: Simplify 1/4 into 1/4 77.207 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 77.207 * [taylor]: Taking taylor expansion of (pow U 2) in K 77.207 * [taylor]: Taking taylor expansion of U in K 77.207 * [backup-simplify]: Simplify U into U 77.207 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 77.207 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 77.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 77.207 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 77.207 * [taylor]: Taking taylor expansion of 1/2 in K 77.207 * [backup-simplify]: Simplify 1/2 into 1/2 77.207 * [taylor]: Taking taylor expansion of K in K 77.207 * [backup-simplify]: Simplify 0 into 0 77.207 * [backup-simplify]: Simplify 1 into 1 77.208 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.208 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 77.208 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.208 * [taylor]: Taking taylor expansion of J in K 77.208 * [backup-simplify]: Simplify J into J 77.208 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.208 * [backup-simplify]: Simplify (* 1 1) into 1 77.208 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.209 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 77.209 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 77.209 * [taylor]: Taking taylor expansion of 1 in K 77.209 * [backup-simplify]: Simplify 1 into 1 77.209 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 77.209 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 77.209 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 77.209 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.209 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.209 * [backup-simplify]: Simplify (+ 0) into 0 77.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 77.210 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 77.211 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 77.211 * [backup-simplify]: Simplify (+ 0 0) into 0 77.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 77.211 * [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 77.211 * [taylor]: Taking taylor expansion of -2 in U 77.211 * [backup-simplify]: Simplify -2 into -2 77.211 * [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 77.211 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 77.211 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 77.211 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 77.211 * [taylor]: Taking taylor expansion of 1/2 in U 77.211 * [backup-simplify]: Simplify 1/2 into 1/2 77.211 * [taylor]: Taking taylor expansion of K in U 77.211 * [backup-simplify]: Simplify K into K 77.211 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.211 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.211 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.211 * [taylor]: Taking taylor expansion of J in U 77.211 * [backup-simplify]: Simplify J into J 77.212 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 77.212 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 77.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 77.212 * [taylor]: Taking taylor expansion of 1/4 in U 77.212 * [backup-simplify]: Simplify 1/4 into 1/4 77.212 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 77.212 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.212 * [taylor]: Taking taylor expansion of U in U 77.212 * [backup-simplify]: Simplify 0 into 0 77.212 * [backup-simplify]: Simplify 1 into 1 77.212 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 77.212 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 77.212 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 77.212 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 77.212 * [taylor]: Taking taylor expansion of 1/2 in U 77.212 * [backup-simplify]: Simplify 1/2 into 1/2 77.212 * [taylor]: Taking taylor expansion of K in U 77.212 * [backup-simplify]: Simplify K into K 77.212 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.212 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.212 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.212 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 77.212 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 77.212 * [backup-simplify]: Simplify (- 0) into 0 77.212 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 77.212 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.212 * [taylor]: Taking taylor expansion of J in U 77.212 * [backup-simplify]: Simplify J into J 77.213 * [backup-simplify]: Simplify (* 1 1) into 1 77.213 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 77.213 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.213 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 77.213 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 77.213 * [taylor]: Taking taylor expansion of 1 in U 77.213 * [backup-simplify]: Simplify 1 into 1 77.213 * [backup-simplify]: Simplify (+ 0 1) into 1 77.214 * [backup-simplify]: Simplify (sqrt 1) into 1 77.214 * [backup-simplify]: Simplify (+ 0 0) into 0 77.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.214 * [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 77.214 * [taylor]: Taking taylor expansion of -2 in U 77.214 * [backup-simplify]: Simplify -2 into -2 77.214 * [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 77.214 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 77.214 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 77.214 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 77.214 * [taylor]: Taking taylor expansion of 1/2 in U 77.214 * [backup-simplify]: Simplify 1/2 into 1/2 77.214 * [taylor]: Taking taylor expansion of K in U 77.214 * [backup-simplify]: Simplify K into K 77.214 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.215 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.215 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.215 * [taylor]: Taking taylor expansion of J in U 77.215 * [backup-simplify]: Simplify J into J 77.215 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 77.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 77.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 77.215 * [taylor]: Taking taylor expansion of 1/4 in U 77.215 * [backup-simplify]: Simplify 1/4 into 1/4 77.215 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 77.215 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.215 * [taylor]: Taking taylor expansion of U in U 77.215 * [backup-simplify]: Simplify 0 into 0 77.215 * [backup-simplify]: Simplify 1 into 1 77.215 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 77.215 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 77.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 77.215 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 77.215 * [taylor]: Taking taylor expansion of 1/2 in U 77.215 * [backup-simplify]: Simplify 1/2 into 1/2 77.215 * [taylor]: Taking taylor expansion of K in U 77.215 * [backup-simplify]: Simplify K into K 77.215 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 77.215 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 77.215 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 77.215 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 77.215 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 77.215 * [backup-simplify]: Simplify (- 0) into 0 77.215 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 77.215 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.215 * [taylor]: Taking taylor expansion of J in U 77.215 * [backup-simplify]: Simplify J into J 77.216 * [backup-simplify]: Simplify (* 1 1) into 1 77.216 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 77.216 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.216 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 77.216 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 77.216 * [taylor]: Taking taylor expansion of 1 in U 77.216 * [backup-simplify]: Simplify 1 into 1 77.216 * [backup-simplify]: Simplify (+ 0 1) into 1 77.216 * [backup-simplify]: Simplify (sqrt 1) into 1 77.217 * [backup-simplify]: Simplify (+ 0 0) into 0 77.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.217 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 77.217 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 77.218 * [backup-simplify]: Simplify (- 0) into 0 77.218 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 77.218 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 77.218 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 77.218 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 77.218 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 77.218 * [taylor]: Taking taylor expansion of -2 in K 77.218 * [backup-simplify]: Simplify -2 into -2 77.218 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 77.218 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 77.218 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 77.218 * [taylor]: Taking taylor expansion of 1/2 in K 77.218 * [backup-simplify]: Simplify 1/2 into 1/2 77.218 * [taylor]: Taking taylor expansion of K in K 77.218 * [backup-simplify]: Simplify 0 into 0 77.218 * [backup-simplify]: Simplify 1 into 1 77.219 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.219 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 77.219 * [taylor]: Taking taylor expansion of J in K 77.220 * [backup-simplify]: Simplify J into J 77.220 * [backup-simplify]: Simplify (* 1 J) into J 77.220 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 77.220 * [taylor]: Taking taylor expansion of (* -2 J) in J 77.220 * [taylor]: Taking taylor expansion of -2 in J 77.220 * [backup-simplify]: Simplify -2 into -2 77.220 * [taylor]: Taking taylor expansion of J in J 77.220 * [backup-simplify]: Simplify 0 into 0 77.220 * [backup-simplify]: Simplify 1 into 1 77.220 * [backup-simplify]: Simplify (+ 0) into 0 77.221 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 77.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 77.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.223 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 77.223 * [backup-simplify]: Simplify (- 0) into 0 77.223 * [backup-simplify]: Simplify (+ 0 0) into 0 77.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 77.224 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 77.224 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 77.224 * [taylor]: Taking taylor expansion of 0 in K 77.225 * [backup-simplify]: Simplify 0 into 0 77.225 * [taylor]: Taking taylor expansion of 0 in J 77.225 * [backup-simplify]: Simplify 0 into 0 77.225 * [backup-simplify]: Simplify (+ 0) into 0 77.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 77.226 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 77.226 * [taylor]: Taking taylor expansion of 0 in J 77.226 * [backup-simplify]: Simplify 0 into 0 77.226 * [backup-simplify]: Simplify (* -2 0) into 0 77.226 * [backup-simplify]: Simplify 0 into 0 77.227 * [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))) 77.227 * [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)))) 77.228 * [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))) 77.229 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.230 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 77.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.232 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.233 * [backup-simplify]: Simplify (- 0) into 0 77.233 * [backup-simplify]: Simplify (+ 0 0) into 0 77.233 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 77.234 * [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))) 77.235 * [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)))) 77.235 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 77.235 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 77.235 * [taylor]: Taking taylor expansion of 1/4 in K 77.235 * [backup-simplify]: Simplify 1/4 into 1/4 77.235 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 77.235 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 77.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 77.235 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 77.235 * [taylor]: Taking taylor expansion of 1/2 in K 77.235 * [backup-simplify]: Simplify 1/2 into 1/2 77.235 * [taylor]: Taking taylor expansion of K in K 77.235 * [backup-simplify]: Simplify 0 into 0 77.235 * [backup-simplify]: Simplify 1 into 1 77.240 * [backup-simplify]: Simplify (* 1/2 0) into 0 77.241 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 77.242 * [taylor]: Taking taylor expansion of J in K 77.242 * [backup-simplify]: Simplify J into J 77.242 * [backup-simplify]: Simplify (* 1 J) into J 77.242 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 77.242 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 77.242 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 77.242 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 77.242 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 77.242 * [taylor]: Taking taylor expansion of 1/4 in J 77.242 * [backup-simplify]: Simplify 1/4 into 1/4 77.242 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.242 * [taylor]: Taking taylor expansion of J in J 77.242 * [backup-simplify]: Simplify 0 into 0 77.242 * [backup-simplify]: Simplify 1 into 1 77.243 * [backup-simplify]: Simplify (/ 1 1) into 1 77.243 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 77.243 * [backup-simplify]: Simplify (- 1/4) into -1/4 77.243 * [backup-simplify]: Simplify -1/4 into -1/4 77.243 * [taylor]: Taking taylor expansion of 0 in J 77.243 * [backup-simplify]: Simplify 0 into 0 77.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 77.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 77.246 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 77.246 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 77.246 * [taylor]: Taking taylor expansion of 1/4 in J 77.246 * [backup-simplify]: Simplify 1/4 into 1/4 77.246 * [taylor]: Taking taylor expansion of J in J 77.246 * [backup-simplify]: Simplify 0 into 0 77.246 * [backup-simplify]: Simplify 1 into 1 77.246 * [backup-simplify]: Simplify 0 into 0 77.246 * [backup-simplify]: Simplify 0 into 0 77.246 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 77.246 * [backup-simplify]: Simplify -2 into -2 77.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.247 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.247 * [backup-simplify]: Simplify (+ 0) into 0 77.247 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 77.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 77.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.248 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 77.249 * [backup-simplify]: Simplify (- 0) into 0 77.249 * [backup-simplify]: Simplify (+ 0 0) into 0 77.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 77.249 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 77.249 * [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 77.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 77.250 * [backup-simplify]: Simplify (+ 0 0) into 0 77.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 77.251 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 77.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 77.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 77.253 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 77.254 * [backup-simplify]: Simplify (- 0) into 0 77.254 * [backup-simplify]: Simplify (+ 0 0) into 0 77.254 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 77.255 * [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 77.256 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 77.256 * [taylor]: Taking taylor expansion of 0 in K 77.256 * [backup-simplify]: Simplify 0 into 0 77.256 * [taylor]: Taking taylor expansion of 0 in J 77.256 * [backup-simplify]: Simplify 0 into 0 77.256 * [backup-simplify]: Simplify (+ 0) into 0 77.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 77.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 77.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 77.257 * [backup-simplify]: Simplify (- 0) into 0 77.257 * [taylor]: Taking taylor expansion of 0 in J 77.257 * [backup-simplify]: Simplify 0 into 0 77.257 * [taylor]: Taking taylor expansion of 0 in J 77.257 * [backup-simplify]: Simplify 0 into 0 77.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 77.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 77.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 77.260 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 77.260 * [taylor]: Taking taylor expansion of 0 in J 77.260 * [backup-simplify]: Simplify 0 into 0 77.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 77.261 * [backup-simplify]: Simplify (- 0) into 0 77.261 * [backup-simplify]: Simplify 0 into 0 77.261 * [backup-simplify]: Simplify 0 into 0 77.262 * [backup-simplify]: Simplify (* 1/4 0) into 0 77.262 * [backup-simplify]: Simplify 0 into 0 77.262 * [backup-simplify]: Simplify 0 into 0 77.262 * [backup-simplify]: Simplify 0 into 0 77.262 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 77.262 * [backup-simplify]: Simplify 0 into 0 77.263 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 77.263 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cos (/ (/ 1 K) 2)) (* (cbrt (/ 1 J)) (cbrt (/ 1 J)))) (cbrt (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 77.263 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 77.263 * [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 77.263 * [taylor]: Taking taylor expansion of -2 in J 77.263 * [backup-simplify]: Simplify -2 into -2 77.263 * [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 77.263 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 77.263 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 77.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 77.263 * [taylor]: Taking taylor expansion of 1/4 in J 77.263 * [backup-simplify]: Simplify 1/4 into 1/4 77.263 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 77.263 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.264 * [taylor]: Taking taylor expansion of J in J 77.264 * [backup-simplify]: Simplify 0 into 0 77.264 * [backup-simplify]: Simplify 1 into 1 77.264 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 77.264 * [taylor]: Taking taylor expansion of (pow U 2) in J 77.264 * [taylor]: Taking taylor expansion of U in J 77.264 * [backup-simplify]: Simplify U into U 77.264 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 77.264 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 77.264 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 77.264 * [taylor]: Taking taylor expansion of 1/2 in J 77.264 * [backup-simplify]: Simplify 1/2 into 1/2 77.264 * [taylor]: Taking taylor expansion of K in J 77.264 * [backup-simplify]: Simplify K into K 77.264 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.264 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.264 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.264 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.264 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.264 * [backup-simplify]: Simplify (- 0) into 0 77.264 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.264 * [backup-simplify]: Simplify (* 1 1) into 1 77.265 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.265 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.265 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 77.265 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 77.265 * [taylor]: Taking taylor expansion of 1 in J 77.265 * [backup-simplify]: Simplify 1 into 1 77.265 * [backup-simplify]: Simplify (+ 0 1) into 1 77.265 * [backup-simplify]: Simplify (sqrt 1) into 1 77.266 * [backup-simplify]: Simplify (+ 0 0) into 0 77.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.266 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 77.266 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 77.266 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 77.266 * [taylor]: Taking taylor expansion of 1/2 in J 77.266 * [backup-simplify]: Simplify 1/2 into 1/2 77.266 * [taylor]: Taking taylor expansion of K in J 77.266 * [backup-simplify]: Simplify K into K 77.266 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.266 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.266 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.266 * [taylor]: Taking taylor expansion of J in J 77.266 * [backup-simplify]: Simplify 0 into 0 77.266 * [backup-simplify]: Simplify 1 into 1 77.266 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.266 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.267 * [backup-simplify]: Simplify (- 0) into 0 77.267 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.267 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.267 * [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 77.267 * [taylor]: Taking taylor expansion of -2 in K 77.267 * [backup-simplify]: Simplify -2 into -2 77.267 * [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 77.267 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 77.267 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 77.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 77.267 * [taylor]: Taking taylor expansion of 1/4 in K 77.267 * [backup-simplify]: Simplify 1/4 into 1/4 77.267 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 77.267 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.267 * [taylor]: Taking taylor expansion of J in K 77.267 * [backup-simplify]: Simplify J into J 77.267 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 77.267 * [taylor]: Taking taylor expansion of (pow U 2) in K 77.267 * [taylor]: Taking taylor expansion of U in K 77.267 * [backup-simplify]: Simplify U into U 77.267 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 77.267 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 77.267 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 77.267 * [taylor]: Taking taylor expansion of 1/2 in K 77.267 * [backup-simplify]: Simplify 1/2 into 1/2 77.267 * [taylor]: Taking taylor expansion of K in K 77.267 * [backup-simplify]: Simplify 0 into 0 77.267 * [backup-simplify]: Simplify 1 into 1 77.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 77.267 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.267 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.268 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.268 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.268 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 77.268 * [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))) 77.268 * [taylor]: Taking taylor expansion of 1 in K 77.268 * [backup-simplify]: Simplify 1 into 1 77.268 * [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)))) 77.268 * [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) 77.268 * [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)) 77.268 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.269 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.269 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 77.269 * [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 77.269 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 77.270 * [backup-simplify]: Simplify (+ 0 0) into 0 77.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 77.270 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 77.270 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 77.270 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 77.270 * [taylor]: Taking taylor expansion of 1/2 in K 77.270 * [backup-simplify]: Simplify 1/2 into 1/2 77.270 * [taylor]: Taking taylor expansion of K in K 77.270 * [backup-simplify]: Simplify 0 into 0 77.270 * [backup-simplify]: Simplify 1 into 1 77.270 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 77.270 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.270 * [taylor]: Taking taylor expansion of J in K 77.270 * [backup-simplify]: Simplify J into J 77.270 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 77.270 * [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 77.270 * [taylor]: Taking taylor expansion of -2 in U 77.270 * [backup-simplify]: Simplify -2 into -2 77.270 * [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 77.271 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 77.271 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 77.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 77.271 * [taylor]: Taking taylor expansion of 1/4 in U 77.271 * [backup-simplify]: Simplify 1/4 into 1/4 77.271 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 77.271 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.271 * [taylor]: Taking taylor expansion of J in U 77.271 * [backup-simplify]: Simplify J into J 77.271 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 77.271 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.271 * [taylor]: Taking taylor expansion of U in U 77.271 * [backup-simplify]: Simplify 0 into 0 77.271 * [backup-simplify]: Simplify 1 into 1 77.271 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 77.271 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 77.271 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 77.271 * [taylor]: Taking taylor expansion of 1/2 in U 77.271 * [backup-simplify]: Simplify 1/2 into 1/2 77.271 * [taylor]: Taking taylor expansion of K in U 77.271 * [backup-simplify]: Simplify K into K 77.271 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.271 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.271 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.271 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.271 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.271 * [backup-simplify]: Simplify (- 0) into 0 77.271 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.272 * [backup-simplify]: Simplify (* 1 1) into 1 77.272 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.272 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 77.272 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 77.272 * [taylor]: Taking taylor expansion of 1 in U 77.272 * [backup-simplify]: Simplify 1 into 1 77.272 * [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))) 77.272 * [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))) 77.272 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 77.272 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.273 * [backup-simplify]: Simplify (+ 0) into 0 77.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.274 * [backup-simplify]: Simplify (- 0) into 0 77.275 * [backup-simplify]: Simplify (+ 0 0) into 0 77.275 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 77.276 * [backup-simplify]: 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 77.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 77.278 * [backup-simplify]: Simplify (+ 0 0) into 0 77.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 77.278 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 77.278 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 77.278 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 77.278 * [taylor]: Taking taylor expansion of 1/2 in U 77.278 * [backup-simplify]: Simplify 1/2 into 1/2 77.278 * [taylor]: Taking taylor expansion of K in U 77.278 * [backup-simplify]: Simplify K into K 77.278 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.278 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.278 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.278 * [taylor]: Taking taylor expansion of J in U 77.278 * [backup-simplify]: Simplify J into J 77.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.279 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.279 * [backup-simplify]: Simplify (- 0) into 0 77.279 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.280 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 77.280 * [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 77.280 * [taylor]: Taking taylor expansion of -2 in U 77.280 * [backup-simplify]: Simplify -2 into -2 77.280 * [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 77.280 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 77.280 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 77.280 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 77.280 * [taylor]: Taking taylor expansion of 1/4 in U 77.280 * [backup-simplify]: Simplify 1/4 into 1/4 77.280 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 77.280 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.280 * [taylor]: Taking taylor expansion of J in U 77.280 * [backup-simplify]: Simplify J into J 77.280 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 77.280 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.280 * [taylor]: Taking taylor expansion of U in U 77.280 * [backup-simplify]: Simplify 0 into 0 77.280 * [backup-simplify]: Simplify 1 into 1 77.280 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 77.280 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 77.280 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 77.280 * [taylor]: Taking taylor expansion of 1/2 in U 77.280 * [backup-simplify]: Simplify 1/2 into 1/2 77.280 * [taylor]: Taking taylor expansion of K in U 77.280 * [backup-simplify]: Simplify K into K 77.280 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.280 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.280 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.280 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.280 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.281 * [backup-simplify]: Simplify (- 0) into 0 77.281 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.281 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.282 * [backup-simplify]: Simplify (* 1 1) into 1 77.282 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.282 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 77.282 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 77.282 * [taylor]: Taking taylor expansion of 1 in U 77.282 * [backup-simplify]: Simplify 1 into 1 77.282 * [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))) 77.283 * [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))) 77.283 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 77.283 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.283 * [backup-simplify]: Simplify (+ 0) into 0 77.284 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.285 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.286 * [backup-simplify]: Simplify (- 0) into 0 77.286 * [backup-simplify]: Simplify (+ 0 0) into 0 77.286 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 77.288 * [backup-simplify]: 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 77.289 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 77.289 * [backup-simplify]: Simplify (+ 0 0) into 0 77.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 77.289 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 77.289 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 77.289 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 77.289 * [taylor]: Taking taylor expansion of 1/2 in U 77.289 * [backup-simplify]: Simplify 1/2 into 1/2 77.289 * [taylor]: Taking taylor expansion of K in U 77.289 * [backup-simplify]: Simplify K into K 77.289 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.290 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.290 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.290 * [taylor]: Taking taylor expansion of J in U 77.290 * [backup-simplify]: Simplify J into J 77.290 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.290 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.290 * [backup-simplify]: Simplify (- 0) into 0 77.290 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.291 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 77.291 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 77.291 * [backup-simplify]: Simplify (* -2 1/2) into -1 77.291 * [taylor]: Taking taylor expansion of -1 in K 77.291 * [backup-simplify]: Simplify -1 into -1 77.291 * [taylor]: Taking taylor expansion of -1 in J 77.291 * [backup-simplify]: Simplify -1 into -1 77.292 * [backup-simplify]: Simplify (+ 0) into 0 77.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.294 * [backup-simplify]: Simplify (- 0) into 0 77.295 * [backup-simplify]: Simplify (+ 0 0) into 0 77.295 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 77.295 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 77.296 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 77.296 * [taylor]: Taking taylor expansion of 0 in K 77.296 * [backup-simplify]: Simplify 0 into 0 77.296 * [taylor]: Taking taylor expansion of 0 in J 77.296 * [backup-simplify]: Simplify 0 into 0 77.296 * [taylor]: Taking taylor expansion of 0 in J 77.296 * [backup-simplify]: Simplify 0 into 0 77.296 * [backup-simplify]: Simplify -1 into -1 77.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.298 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.299 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.300 * [backup-simplify]: Simplify (- 0) into 0 77.300 * [backup-simplify]: Simplify (+ 0 0) into 0 77.300 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 77.301 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 77.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.304 * [backup-simplify]: Simplify (- 0) into 0 77.304 * [backup-simplify]: Simplify (+ 0 0) into 0 77.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 77.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 77.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 77.306 * [backup-simplify]: 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 77.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 77.306 * [backup-simplify]: Simplify (+ 0 1) into 1 77.307 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 77.307 * [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)) 77.308 * [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)))) 77.308 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 77.308 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 77.308 * [taylor]: Taking taylor expansion of 2 in K 77.308 * [backup-simplify]: Simplify 2 into 2 77.308 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 77.308 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 77.308 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 77.308 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 77.308 * [taylor]: Taking taylor expansion of 1/2 in K 77.308 * [backup-simplify]: Simplify 1/2 into 1/2 77.308 * [taylor]: Taking taylor expansion of K in K 77.308 * [backup-simplify]: Simplify 0 into 0 77.308 * [backup-simplify]: Simplify 1 into 1 77.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 77.309 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.309 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.309 * [taylor]: Taking taylor expansion of J in K 77.309 * [backup-simplify]: Simplify J into J 77.309 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.309 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.309 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 77.309 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 77.309 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 77.309 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 77.309 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 77.309 * [taylor]: Taking taylor expansion of 2 in J 77.309 * [backup-simplify]: Simplify 2 into 2 77.309 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 77.309 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 77.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 77.309 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 77.309 * [taylor]: Taking taylor expansion of 1/2 in J 77.309 * [backup-simplify]: Simplify 1/2 into 1/2 77.309 * [taylor]: Taking taylor expansion of K in J 77.309 * [backup-simplify]: Simplify K into K 77.309 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 77.309 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 77.309 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 77.309 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 77.309 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 77.310 * [backup-simplify]: Simplify (- 0) into 0 77.310 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 77.310 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.310 * [taylor]: Taking taylor expansion of J in J 77.310 * [backup-simplify]: Simplify 0 into 0 77.310 * [backup-simplify]: Simplify 1 into 1 77.310 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 77.310 * [backup-simplify]: Simplify (* 1 1) into 1 77.310 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 77.310 * [backup-simplify]: Simplify (+ 0) into 0 77.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 77.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 77.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.312 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 77.312 * [backup-simplify]: Simplify (- 0) into 0 77.312 * [backup-simplify]: Simplify (+ 0 0) into 0 77.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 77.313 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 77.314 * [backup-simplify]: Simplify (- 0) into 0 77.314 * [backup-simplify]: Simplify 0 into 0 77.314 * [taylor]: Taking taylor expansion of 0 in J 77.314 * [backup-simplify]: Simplify 0 into 0 77.314 * [taylor]: Taking taylor expansion of 0 in J 77.314 * [backup-simplify]: Simplify 0 into 0 77.314 * [backup-simplify]: Simplify 0 into 0 77.314 * [backup-simplify]: Simplify 0 into 0 77.314 * [backup-simplify]: Simplify 0 into 0 77.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 77.315 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.315 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 77.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 77.317 * [backup-simplify]: Simplify (- 0) into 0 77.317 * [backup-simplify]: Simplify (+ 0 0) into 0 77.317 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 77.317 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 77.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 77.318 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 77.320 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 77.320 * [backup-simplify]: Simplify (- 0) into 0 77.320 * [backup-simplify]: Simplify (+ 0 0) into 0 77.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 77.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 77.323 * [backup-simplify]: 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 77.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 77.324 * [backup-simplify]: Simplify (+ 0 0) into 0 77.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 77.324 * [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 77.325 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 77.325 * [taylor]: Taking taylor expansion of 0 in K 77.325 * [backup-simplify]: Simplify 0 into 0 77.325 * [taylor]: Taking taylor expansion of 0 in J 77.325 * [backup-simplify]: Simplify 0 into 0 77.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 77.325 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.325 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 77.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 77.326 * [backup-simplify]: Simplify (- 0) into 0 77.326 * [taylor]: Taking taylor expansion of 0 in J 77.326 * [backup-simplify]: Simplify 0 into 0 77.326 * [taylor]: Taking taylor expansion of 0 in J 77.326 * [backup-simplify]: Simplify 0 into 0 77.326 * [taylor]: Taking taylor expansion of 0 in J 77.326 * [backup-simplify]: Simplify 0 into 0 77.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.327 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.328 * [backup-simplify]: Simplify (- 0) into 0 77.328 * [backup-simplify]: Simplify (+ 0 0) into 0 77.329 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 77.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 77.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 77.331 * [backup-simplify]: Simplify (- 0) into 0 77.331 * [backup-simplify]: Simplify 0 into 0 77.331 * [backup-simplify]: Simplify 0 into 0 77.331 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 77.332 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cos (/ (/ 1 (- K)) 2)) (* (cbrt (/ 1 (- J))) (cbrt (/ 1 (- J))))) (cbrt (/ 1 (- J))))) into (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 77.332 * [approximate]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 77.332 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 77.332 * [taylor]: Taking taylor expansion of -2 in J 77.332 * [backup-simplify]: Simplify -2 into -2 77.332 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 77.332 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in J 77.332 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in J 77.332 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 77.332 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 77.332 * [taylor]: Taking taylor expansion of -1/2 in J 77.332 * [backup-simplify]: Simplify -1/2 into -1/2 77.332 * [taylor]: Taking taylor expansion of K in J 77.332 * [backup-simplify]: Simplify K into K 77.332 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.332 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.332 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.332 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in J 77.332 * [taylor]: Taking taylor expansion of (cbrt -1) in J 77.332 * [taylor]: Taking taylor expansion of -1 in J 77.332 * [backup-simplify]: Simplify -1 into -1 77.333 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.333 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.333 * [taylor]: Taking taylor expansion of J in J 77.333 * [backup-simplify]: Simplify 0 into 0 77.333 * [backup-simplify]: Simplify 1 into 1 77.333 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.333 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.334 * [backup-simplify]: Simplify (- 0) into 0 77.334 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.335 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 77.337 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 77.338 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 77.338 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 77.338 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 77.338 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 77.338 * [taylor]: Taking taylor expansion of 1 in J 77.338 * [backup-simplify]: Simplify 1 into 1 77.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 77.338 * [taylor]: Taking taylor expansion of 1/4 in J 77.338 * [backup-simplify]: Simplify 1/4 into 1/4 77.338 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 77.338 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.338 * [taylor]: Taking taylor expansion of J in J 77.338 * [backup-simplify]: Simplify 0 into 0 77.338 * [backup-simplify]: Simplify 1 into 1 77.338 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 77.338 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 77.338 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 77.338 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 77.338 * [taylor]: Taking taylor expansion of -1/2 in J 77.338 * [backup-simplify]: Simplify -1/2 into -1/2 77.338 * [taylor]: Taking taylor expansion of K in J 77.338 * [backup-simplify]: Simplify K into K 77.339 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.339 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.339 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.339 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.339 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.339 * [backup-simplify]: Simplify (- 0) into 0 77.339 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.339 * [taylor]: Taking taylor expansion of (pow U 2) in J 77.339 * [taylor]: Taking taylor expansion of U in J 77.339 * [backup-simplify]: Simplify U into U 77.339 * [backup-simplify]: Simplify (* 1 1) into 1 77.339 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.339 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.340 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 77.340 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 77.340 * [backup-simplify]: Simplify (+ 1 0) into 1 77.340 * [backup-simplify]: Simplify (sqrt 1) into 1 77.340 * [backup-simplify]: Simplify (+ 0 0) into 0 77.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 77.341 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 77.341 * [taylor]: Taking taylor expansion of -2 in K 77.341 * [backup-simplify]: Simplify -2 into -2 77.341 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 77.341 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in K 77.341 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in K 77.341 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 77.341 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 77.341 * [taylor]: Taking taylor expansion of -1/2 in K 77.341 * [backup-simplify]: Simplify -1/2 into -1/2 77.341 * [taylor]: Taking taylor expansion of K in K 77.341 * [backup-simplify]: Simplify 0 into 0 77.341 * [backup-simplify]: Simplify 1 into 1 77.341 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 77.341 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.341 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in K 77.341 * [taylor]: Taking taylor expansion of (cbrt -1) in K 77.341 * [taylor]: Taking taylor expansion of -1 in K 77.341 * [backup-simplify]: Simplify -1 into -1 77.342 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.342 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.342 * [taylor]: Taking taylor expansion of J in K 77.342 * [backup-simplify]: Simplify J into J 77.343 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 77.348 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 77.349 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 77.349 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 77.349 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 77.349 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 77.349 * [taylor]: Taking taylor expansion of 1 in K 77.349 * [backup-simplify]: Simplify 1 into 1 77.349 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 77.349 * [taylor]: Taking taylor expansion of 1/4 in K 77.349 * [backup-simplify]: Simplify 1/4 into 1/4 77.349 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 77.349 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.349 * [taylor]: Taking taylor expansion of J in K 77.349 * [backup-simplify]: Simplify J into J 77.349 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 77.349 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 77.349 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 77.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 77.350 * [taylor]: Taking taylor expansion of -1/2 in K 77.350 * [backup-simplify]: Simplify -1/2 into -1/2 77.350 * [taylor]: Taking taylor expansion of K in K 77.350 * [backup-simplify]: Simplify 0 into 0 77.350 * [backup-simplify]: Simplify 1 into 1 77.350 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 77.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.350 * [taylor]: Taking taylor expansion of (pow U 2) in K 77.350 * [taylor]: Taking taylor expansion of U in K 77.350 * [backup-simplify]: Simplify U into U 77.350 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.350 * [backup-simplify]: Simplify (* U U) into (pow U 2) 77.350 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 77.350 * [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))) 77.351 * [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)))) 77.351 * [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))))) 77.351 * [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)))))) 77.351 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.351 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 77.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.351 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 77.352 * [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 77.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 77.352 * [backup-simplify]: Simplify (+ 0 0) into 0 77.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 77.353 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 77.353 * [taylor]: Taking taylor expansion of -2 in U 77.353 * [backup-simplify]: Simplify -2 into -2 77.353 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 77.353 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 77.353 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 77.353 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 77.353 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 77.353 * [taylor]: Taking taylor expansion of -1/2 in U 77.353 * [backup-simplify]: Simplify -1/2 into -1/2 77.353 * [taylor]: Taking taylor expansion of K in U 77.353 * [backup-simplify]: Simplify K into K 77.353 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.353 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.353 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.353 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 77.353 * [taylor]: Taking taylor expansion of (cbrt -1) in U 77.353 * [taylor]: Taking taylor expansion of -1 in U 77.353 * [backup-simplify]: Simplify -1 into -1 77.353 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.354 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.354 * [taylor]: Taking taylor expansion of J in U 77.354 * [backup-simplify]: Simplify J into J 77.354 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.354 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.354 * [backup-simplify]: Simplify (- 0) into 0 77.354 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.355 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 77.356 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 77.357 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 77.357 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 77.357 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 77.357 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 77.357 * [taylor]: Taking taylor expansion of 1 in U 77.357 * [backup-simplify]: Simplify 1 into 1 77.357 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 77.357 * [taylor]: Taking taylor expansion of 1/4 in U 77.357 * [backup-simplify]: Simplify 1/4 into 1/4 77.357 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 77.357 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.357 * [taylor]: Taking taylor expansion of J in U 77.357 * [backup-simplify]: Simplify J into J 77.357 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 77.357 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 77.357 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 77.357 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 77.357 * [taylor]: Taking taylor expansion of -1/2 in U 77.357 * [backup-simplify]: Simplify -1/2 into -1/2 77.357 * [taylor]: Taking taylor expansion of K in U 77.357 * [backup-simplify]: Simplify K into K 77.357 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.357 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.357 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.357 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.357 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.358 * [backup-simplify]: Simplify (- 0) into 0 77.358 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.358 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.358 * [taylor]: Taking taylor expansion of U in U 77.358 * [backup-simplify]: Simplify 0 into 0 77.358 * [backup-simplify]: Simplify 1 into 1 77.358 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.358 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.358 * [backup-simplify]: Simplify (* 1 1) into 1 77.358 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 77.358 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 77.358 * [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))) 77.359 * [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))) 77.359 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 77.359 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.359 * [backup-simplify]: Simplify (+ 0) into 0 77.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.360 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.361 * [backup-simplify]: Simplify (- 0) into 0 77.361 * [backup-simplify]: Simplify (+ 0 0) into 0 77.361 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.362 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 77.362 * [backup-simplify]: 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 77.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 77.363 * [backup-simplify]: Simplify (+ 0 0) into 0 77.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 77.363 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 77.363 * [taylor]: Taking taylor expansion of -2 in U 77.363 * [backup-simplify]: Simplify -2 into -2 77.363 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 77.363 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 77.363 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 77.363 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 77.363 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 77.363 * [taylor]: Taking taylor expansion of -1/2 in U 77.363 * [backup-simplify]: Simplify -1/2 into -1/2 77.363 * [taylor]: Taking taylor expansion of K in U 77.363 * [backup-simplify]: Simplify K into K 77.363 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.363 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.363 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.363 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 77.363 * [taylor]: Taking taylor expansion of (cbrt -1) in U 77.363 * [taylor]: Taking taylor expansion of -1 in U 77.363 * [backup-simplify]: Simplify -1 into -1 77.364 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.365 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.365 * [taylor]: Taking taylor expansion of J in U 77.365 * [backup-simplify]: Simplify J into J 77.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.365 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.365 * [backup-simplify]: Simplify (- 0) into 0 77.365 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.366 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 77.367 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 77.368 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 77.368 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 77.368 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 77.368 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 77.368 * [taylor]: Taking taylor expansion of 1 in U 77.368 * [backup-simplify]: Simplify 1 into 1 77.368 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 77.368 * [taylor]: Taking taylor expansion of 1/4 in U 77.368 * [backup-simplify]: Simplify 1/4 into 1/4 77.368 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 77.368 * [taylor]: Taking taylor expansion of (pow J 2) in U 77.368 * [taylor]: Taking taylor expansion of J in U 77.368 * [backup-simplify]: Simplify J into J 77.368 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 77.368 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 77.368 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 77.368 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 77.368 * [taylor]: Taking taylor expansion of -1/2 in U 77.368 * [backup-simplify]: Simplify -1/2 into -1/2 77.368 * [taylor]: Taking taylor expansion of K in U 77.368 * [backup-simplify]: Simplify K into K 77.368 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.368 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.368 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.369 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.369 * [backup-simplify]: Simplify (- 0) into 0 77.369 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.369 * [taylor]: Taking taylor expansion of (pow U 2) in U 77.369 * [taylor]: Taking taylor expansion of U in U 77.369 * [backup-simplify]: Simplify 0 into 0 77.369 * [backup-simplify]: Simplify 1 into 1 77.369 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.369 * [backup-simplify]: Simplify (* 1 1) into 1 77.369 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 77.370 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 77.370 * [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))) 77.370 * [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))) 77.370 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 77.370 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.372 * [backup-simplify]: Simplify (+ 0) into 0 77.372 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.372 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.373 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.374 * [backup-simplify]: Simplify (- 0) into 0 77.374 * [backup-simplify]: Simplify (+ 0 0) into 0 77.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.375 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 77.375 * [backup-simplify]: 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 77.376 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 77.376 * [backup-simplify]: Simplify (+ 0 0) into 0 77.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 77.377 * [backup-simplify]: Simplify (* (* -1 (/ (cos (/ -1/2 K)) J)) (* 1/2 (/ J (cos (/ -1/2 K))))) into -1/2 77.377 * [backup-simplify]: Simplify (* -2 -1/2) into 1 77.378 * [taylor]: Taking taylor expansion of 1 in K 77.378 * [backup-simplify]: Simplify 1 into 1 77.378 * [taylor]: Taking taylor expansion of 1 in J 77.378 * [backup-simplify]: Simplify 1 into 1 77.379 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 77.380 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 77.380 * [backup-simplify]: Simplify (+ 0) into 0 77.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.382 * [backup-simplify]: Simplify (- 0) into 0 77.383 * [backup-simplify]: Simplify (+ 0 0) into 0 77.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cbrt -1) 3))) into 0 77.384 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)))) into 0 77.384 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 77.385 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 -1/2)) into 0 77.385 * [taylor]: Taking taylor expansion of 0 in K 77.385 * [backup-simplify]: Simplify 0 into 0 77.385 * [taylor]: Taking taylor expansion of 0 in J 77.385 * [backup-simplify]: Simplify 0 into 0 77.385 * [taylor]: Taking taylor expansion of 0 in J 77.385 * [backup-simplify]: Simplify 0 into 0 77.385 * [backup-simplify]: Simplify 1 into 1 77.385 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 77.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 77.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.388 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.389 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.390 * [backup-simplify]: Simplify (- 0) into 0 77.390 * [backup-simplify]: Simplify (+ 0 0) into 0 77.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 77.391 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 77.392 * [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 77.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 77.394 * [backup-simplify]: Simplify (+ 1 0) into 1 77.394 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 77.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 77.398 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 77.399 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 77.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.401 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.402 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.402 * [backup-simplify]: Simplify (- 0) into 0 77.403 * [backup-simplify]: Simplify (+ 0 0) into 0 77.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3)))) into 0 77.404 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 77.405 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 77.406 * [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))) 77.406 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 77.406 * [taylor]: Taking taylor expansion of 2 in K 77.406 * [backup-simplify]: Simplify 2 into 2 77.406 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 77.406 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 77.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 77.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 77.406 * [taylor]: Taking taylor expansion of -1/2 in K 77.406 * [backup-simplify]: Simplify -1/2 into -1/2 77.406 * [taylor]: Taking taylor expansion of K in K 77.406 * [backup-simplify]: Simplify 0 into 0 77.406 * [backup-simplify]: Simplify 1 into 1 77.407 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 77.407 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.407 * [taylor]: Taking taylor expansion of (pow J 2) in K 77.407 * [taylor]: Taking taylor expansion of J in K 77.407 * [backup-simplify]: Simplify J into J 77.407 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.407 * [backup-simplify]: Simplify (* J J) into (pow J 2) 77.407 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 77.408 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 77.408 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 77.408 * [taylor]: Taking taylor expansion of 2 in J 77.408 * [backup-simplify]: Simplify 2 into 2 77.408 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 77.408 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 77.408 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 77.408 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 77.408 * [taylor]: Taking taylor expansion of -1/2 in J 77.408 * [backup-simplify]: Simplify -1/2 into -1/2 77.408 * [taylor]: Taking taylor expansion of K in J 77.408 * [backup-simplify]: Simplify K into K 77.408 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 77.408 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 77.408 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 77.408 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 77.408 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 77.409 * [backup-simplify]: Simplify (- 0) into 0 77.409 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 77.409 * [taylor]: Taking taylor expansion of (pow J 2) in J 77.409 * [taylor]: Taking taylor expansion of J in J 77.409 * [backup-simplify]: Simplify 0 into 0 77.409 * [backup-simplify]: Simplify 1 into 1 77.409 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 77.409 * [backup-simplify]: Simplify (* 1 1) into 1 77.410 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 77.410 * [backup-simplify]: Simplify (+ 0) into 0 77.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 77.411 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 77.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 77.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 77.413 * [backup-simplify]: Simplify (- 0) into 0 77.413 * [backup-simplify]: Simplify (+ 0 0) into 0 77.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 77.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 77.415 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 77.415 * [backup-simplify]: Simplify 0 into 0 77.415 * [taylor]: Taking taylor expansion of 0 in J 77.415 * [backup-simplify]: Simplify 0 into 0 77.416 * [taylor]: Taking taylor expansion of 0 in J 77.416 * [backup-simplify]: Simplify 0 into 0 77.416 * [backup-simplify]: Simplify 0 into 0 77.416 * [backup-simplify]: Simplify 0 into 0 77.416 * [backup-simplify]: Simplify 0 into 0 77.416 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 77.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.418 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 77.419 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.419 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 77.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 77.422 * [backup-simplify]: Simplify (- 0) into 0 77.422 * [backup-simplify]: Simplify (+ 0 0) into 0 77.423 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 77.424 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.425 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 77.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 77.426 * [backup-simplify]: Simplify (+ 0 0) into 0 77.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 77.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 77.429 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 77.431 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 77.432 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 77.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 77.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 77.435 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 77.435 * [backup-simplify]: Simplify (- 0) into 0 77.436 * [backup-simplify]: Simplify (+ 0 0) into 0 77.437 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3))))) into 0 77.437 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 77.438 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 77.439 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 -1/2)))) into 0 77.439 * [taylor]: Taking taylor expansion of 0 in K 77.439 * [backup-simplify]: Simplify 0 into 0 77.439 * [taylor]: Taking taylor expansion of 0 in J 77.439 * [backup-simplify]: Simplify 0 into 0 77.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 77.440 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 77.440 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 77.441 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 77.441 * [taylor]: Taking taylor expansion of 0 in J 77.441 * [backup-simplify]: Simplify 0 into 0 77.441 * [taylor]: Taking taylor expansion of 0 in J 77.441 * [backup-simplify]: Simplify 0 into 0 77.441 * [taylor]: Taking taylor expansion of 0 in J 77.441 * [backup-simplify]: Simplify 0 into 0 77.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 77.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 77.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 77.443 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 77.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 77.444 * [backup-simplify]: Simplify (- 0) into 0 77.445 * [backup-simplify]: Simplify (+ 0 0) into 0 77.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 77.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 77.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 77.448 * [backup-simplify]: Simplify 0 into 0 77.448 * [backup-simplify]: Simplify 0 into 0 77.449 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 77.449 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 77.449 * [backup-simplify]: Simplify (cbrt J) into (pow J 1/3) 77.449 * [approximate]: Taking taylor expansion of (pow J 1/3) in (J) around 0 77.449 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 77.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 77.449 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 77.449 * [taylor]: Taking taylor expansion of 1/3 in J 77.449 * [backup-simplify]: Simplify 1/3 into 1/3 77.449 * [taylor]: Taking taylor expansion of (log J) in J 77.449 * [taylor]: Taking taylor expansion of J in J 77.449 * [backup-simplify]: Simplify 0 into 0 77.449 * [backup-simplify]: Simplify 1 into 1 77.449 * [backup-simplify]: Simplify (log 1) into 0 77.450 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.450 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 77.450 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 77.450 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 77.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 77.450 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 77.450 * [taylor]: Taking taylor expansion of 1/3 in J 77.450 * [backup-simplify]: Simplify 1/3 into 1/3 77.450 * [taylor]: Taking taylor expansion of (log J) in J 77.450 * [taylor]: Taking taylor expansion of J in J 77.450 * [backup-simplify]: Simplify 0 into 0 77.450 * [backup-simplify]: Simplify 1 into 1 77.451 * [backup-simplify]: Simplify (log 1) into 0 77.451 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.451 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 77.451 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 77.451 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 77.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 77.453 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 77.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 77.454 * [backup-simplify]: Simplify 0 into 0 77.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 77.458 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 77.460 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.460 * [backup-simplify]: Simplify 0 into 0 77.466 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 77.466 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 77.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.469 * [backup-simplify]: Simplify 0 into 0 77.487 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 77.488 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.489 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))) into 0 77.492 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.492 * [backup-simplify]: Simplify 0 into 0 77.509 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 77.510 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.512 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))))) into 0 77.516 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.516 * [backup-simplify]: Simplify 0 into 0 77.549 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 77.549 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.552 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))))) into 0 77.558 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.558 * [backup-simplify]: Simplify 0 into 0 77.558 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 77.558 * [backup-simplify]: Simplify (cbrt (/ 1 J)) into (pow (/ 1 J) 1/3) 77.558 * [approximate]: Taking taylor expansion of (pow (/ 1 J) 1/3) in (J) around 0 77.558 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.558 * [taylor]: Taking taylor expansion of 1/3 in J 77.558 * [backup-simplify]: Simplify 1/3 into 1/3 77.558 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.558 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.558 * [taylor]: Taking taylor expansion of J in J 77.558 * [backup-simplify]: Simplify 0 into 0 77.558 * [backup-simplify]: Simplify 1 into 1 77.558 * [backup-simplify]: Simplify (/ 1 1) into 1 77.559 * [backup-simplify]: Simplify (log 1) into 0 77.559 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.559 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.559 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.559 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.559 * [taylor]: Taking taylor expansion of 1/3 in J 77.559 * [backup-simplify]: Simplify 1/3 into 1/3 77.559 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.559 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.559 * [taylor]: Taking taylor expansion of J in J 77.559 * [backup-simplify]: Simplify 0 into 0 77.559 * [backup-simplify]: Simplify 1 into 1 77.559 * [backup-simplify]: Simplify (/ 1 1) into 1 77.560 * [backup-simplify]: Simplify (log 1) into 0 77.560 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.560 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.560 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.560 * [backup-simplify]: Simplify (pow J -1/3) into (pow J -1/3) 77.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 77.562 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 77.563 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 77.563 * [backup-simplify]: Simplify 0 into 0 77.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.565 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 77.565 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 77.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.567 * [backup-simplify]: Simplify 0 into 0 77.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.570 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 77.571 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 77.573 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.573 * [backup-simplify]: Simplify 0 into 0 77.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.579 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 77.580 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 77.582 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.582 * [backup-simplify]: Simplify 0 into 0 77.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.599 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 77.600 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 77.606 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.606 * [backup-simplify]: Simplify 0 into 0 77.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.643 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 77.644 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 77.648 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.648 * [backup-simplify]: Simplify 0 into 0 77.648 * [backup-simplify]: Simplify (pow (/ 1 J) -1/3) into (pow (/ 1 J) -1/3) 77.649 * [backup-simplify]: Simplify (cbrt (/ 1 (- J))) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 77.649 * [approximate]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in (J) around 0 77.649 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 77.649 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.649 * [taylor]: Taking taylor expansion of 1/3 in J 77.649 * [backup-simplify]: Simplify 1/3 into 1/3 77.649 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.649 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.649 * [taylor]: Taking taylor expansion of J in J 77.649 * [backup-simplify]: Simplify 0 into 0 77.649 * [backup-simplify]: Simplify 1 into 1 77.649 * [backup-simplify]: Simplify (/ 1 1) into 1 77.649 * [backup-simplify]: Simplify (log 1) into 0 77.650 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.650 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.650 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.650 * [taylor]: Taking taylor expansion of (cbrt -1) in J 77.650 * [taylor]: Taking taylor expansion of -1 in J 77.650 * [backup-simplify]: Simplify -1 into -1 77.650 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.651 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.651 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 77.651 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.651 * [taylor]: Taking taylor expansion of 1/3 in J 77.651 * [backup-simplify]: Simplify 1/3 into 1/3 77.651 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.651 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.651 * [taylor]: Taking taylor expansion of J in J 77.651 * [backup-simplify]: Simplify 0 into 0 77.651 * [backup-simplify]: Simplify 1 into 1 77.651 * [backup-simplify]: Simplify (/ 1 1) into 1 77.651 * [backup-simplify]: Simplify (log 1) into 0 77.652 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.652 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.652 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.652 * [taylor]: Taking taylor expansion of (cbrt -1) in J 77.652 * [taylor]: Taking taylor expansion of -1 in J 77.652 * [backup-simplify]: Simplify -1 into -1 77.652 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.653 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.653 * [backup-simplify]: Simplify (* (pow J -1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 77.653 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 77.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 77.655 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 77.656 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 77.656 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cbrt -1))) into 0 77.656 * [backup-simplify]: Simplify 0 into 0 77.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 77.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 77.660 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 77.661 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.662 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 77.662 * [backup-simplify]: Simplify 0 into 0 77.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 77.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.666 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 77.666 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 77.668 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.669 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 77.669 * [backup-simplify]: Simplify 0 into 0 77.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 77.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.683 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 77.684 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 77.687 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.688 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 77.688 * [backup-simplify]: Simplify 0 into 0 77.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 77.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.699 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 77.699 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.700 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 77.703 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.703 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 77.703 * [backup-simplify]: Simplify 0 into 0 77.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 77.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.733 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 77.733 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.735 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 77.738 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.739 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 77.740 * [backup-simplify]: Simplify 0 into 0 77.740 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- J))) 1/3) (cbrt -1)) into (* (pow (* J -1) 1/3) (cbrt -1)) 77.740 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 77.740 * [backup-simplify]: Simplify (cbrt J) into (pow J 1/3) 77.740 * [approximate]: Taking taylor expansion of (pow J 1/3) in (J) around 0 77.740 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 77.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 77.740 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 77.740 * [taylor]: Taking taylor expansion of 1/3 in J 77.740 * [backup-simplify]: Simplify 1/3 into 1/3 77.740 * [taylor]: Taking taylor expansion of (log J) in J 77.740 * [taylor]: Taking taylor expansion of J in J 77.740 * [backup-simplify]: Simplify 0 into 0 77.740 * [backup-simplify]: Simplify 1 into 1 77.741 * [backup-simplify]: Simplify (log 1) into 0 77.741 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.741 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 77.741 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 77.741 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 77.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 77.741 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 77.741 * [taylor]: Taking taylor expansion of 1/3 in J 77.741 * [backup-simplify]: Simplify 1/3 into 1/3 77.741 * [taylor]: Taking taylor expansion of (log J) in J 77.741 * [taylor]: Taking taylor expansion of J in J 77.741 * [backup-simplify]: Simplify 0 into 0 77.741 * [backup-simplify]: Simplify 1 into 1 77.741 * [backup-simplify]: Simplify (log 1) into 0 77.742 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.742 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 77.742 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 77.742 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 77.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 77.743 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 77.744 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 77.744 * [backup-simplify]: Simplify 0 into 0 77.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 77.746 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.747 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 77.748 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.748 * [backup-simplify]: Simplify 0 into 0 77.751 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 77.751 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.752 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 77.753 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.753 * [backup-simplify]: Simplify 0 into 0 77.759 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 77.760 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.761 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))) into 0 77.762 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.762 * [backup-simplify]: Simplify 0 into 0 77.772 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 77.772 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))))) into 0 77.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.776 * [backup-simplify]: Simplify 0 into 0 77.807 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 77.808 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 77.810 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))))) into 0 77.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.817 * [backup-simplify]: Simplify 0 into 0 77.817 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 77.817 * [backup-simplify]: Simplify (cbrt (/ 1 J)) into (pow (/ 1 J) 1/3) 77.817 * [approximate]: Taking taylor expansion of (pow (/ 1 J) 1/3) in (J) around 0 77.817 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.817 * [taylor]: Taking taylor expansion of 1/3 in J 77.817 * [backup-simplify]: Simplify 1/3 into 1/3 77.817 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.817 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.818 * [taylor]: Taking taylor expansion of J in J 77.818 * [backup-simplify]: Simplify 0 into 0 77.818 * [backup-simplify]: Simplify 1 into 1 77.818 * [backup-simplify]: Simplify (/ 1 1) into 1 77.818 * [backup-simplify]: Simplify (log 1) into 0 77.819 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.819 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.819 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.819 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.819 * [taylor]: Taking taylor expansion of 1/3 in J 77.819 * [backup-simplify]: Simplify 1/3 into 1/3 77.819 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.819 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.819 * [taylor]: Taking taylor expansion of J in J 77.819 * [backup-simplify]: Simplify 0 into 0 77.819 * [backup-simplify]: Simplify 1 into 1 77.820 * [backup-simplify]: Simplify (/ 1 1) into 1 77.820 * [backup-simplify]: Simplify (log 1) into 0 77.821 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.821 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.821 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.821 * [backup-simplify]: Simplify (pow J -1/3) into (pow J -1/3) 77.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 77.824 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 77.825 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 77.825 * [backup-simplify]: Simplify 0 into 0 77.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 77.830 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 77.832 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.832 * [backup-simplify]: Simplify 0 into 0 77.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.838 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 77.839 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.841 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 77.842 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.843 * [backup-simplify]: Simplify 0 into 0 77.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.863 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 77.864 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 77.868 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.868 * [backup-simplify]: Simplify 0 into 0 77.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.887 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 77.887 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.889 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 77.891 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.891 * [backup-simplify]: Simplify 0 into 0 77.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.917 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 77.918 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 77.927 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.927 * [backup-simplify]: Simplify 0 into 0 77.927 * [backup-simplify]: Simplify (pow (/ 1 J) -1/3) into (pow (/ 1 J) -1/3) 77.927 * [backup-simplify]: Simplify (cbrt (/ 1 (- J))) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 77.927 * [approximate]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in (J) around 0 77.927 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 77.927 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.927 * [taylor]: Taking taylor expansion of 1/3 in J 77.927 * [backup-simplify]: Simplify 1/3 into 1/3 77.927 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.927 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.927 * [taylor]: Taking taylor expansion of J in J 77.927 * [backup-simplify]: Simplify 0 into 0 77.928 * [backup-simplify]: Simplify 1 into 1 77.928 * [backup-simplify]: Simplify (/ 1 1) into 1 77.928 * [backup-simplify]: Simplify (log 1) into 0 77.929 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.929 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.929 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.929 * [taylor]: Taking taylor expansion of (cbrt -1) in J 77.929 * [taylor]: Taking taylor expansion of -1 in J 77.929 * [backup-simplify]: Simplify -1 into -1 77.930 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.930 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.930 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 77.930 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 77.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 77.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 77.930 * [taylor]: Taking taylor expansion of 1/3 in J 77.930 * [backup-simplify]: Simplify 1/3 into 1/3 77.930 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 77.930 * [taylor]: Taking taylor expansion of (/ 1 J) in J 77.930 * [taylor]: Taking taylor expansion of J in J 77.930 * [backup-simplify]: Simplify 0 into 0 77.930 * [backup-simplify]: Simplify 1 into 1 77.931 * [backup-simplify]: Simplify (/ 1 1) into 1 77.931 * [backup-simplify]: Simplify (log 1) into 0 77.931 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.931 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 77.931 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 77.931 * [taylor]: Taking taylor expansion of (cbrt -1) in J 77.931 * [taylor]: Taking taylor expansion of -1 in J 77.931 * [backup-simplify]: Simplify -1 into -1 77.932 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 77.932 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 77.933 * [backup-simplify]: Simplify (* (pow J -1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 77.933 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 77.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 77.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 77.935 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 77.936 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 77.936 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cbrt -1))) into 0 77.936 * [backup-simplify]: Simplify 0 into 0 77.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 77.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 77.939 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 77.941 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.941 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 77.941 * [backup-simplify]: Simplify 0 into 0 77.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 77.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.946 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 77.946 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 77.948 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 77.949 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 77.949 * [backup-simplify]: Simplify 0 into 0 77.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 77.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.959 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 77.960 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.961 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 77.964 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 77.965 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 77.966 * [backup-simplify]: Simplify 0 into 0 77.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 77.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 77.994 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 77.995 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 77.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 78.001 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 78.002 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 78.002 * [backup-simplify]: Simplify 0 into 0 78.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 78.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 78.035 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 78.036 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 78.038 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 78.044 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 78.046 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 78.046 * [backup-simplify]: Simplify 0 into 0 78.047 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- J))) 1/3) (cbrt -1)) into (* (pow (* J -1) 1/3) (cbrt -1)) 78.047 * * * [progress]: simplifying candidates 78.047 * * * * [progress]: [ 1 / 89 ] simplifiying candidate # 78.047 * * * * [progress]: [ 2 / 89 ] simplifiying candidate # 78.047 * * * * [progress]: [ 3 / 89 ] simplifiying candidate # 78.047 * * * * [progress]: [ 4 / 89 ] simplifiying candidate # 78.047 * * * * [progress]: [ 5 / 89 ] simplifiying candidate # 78.047 * * * * [progress]: [ 6 / 89 ] simplifiying candidate # 78.048 * * * * [progress]: [ 7 / 89 ] simplifiying candidate # 78.048 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 78.048 * * [simplify]: iters left: 6 (15 enodes) 78.056 * * [simplify]: iters left: 5 (59 enodes) 78.075 * * [simplify]: iters left: 4 (112 enodes) 78.117 * * [simplify]: iters left: 3 (365 enodes) 78.338 * * [simplify]: Extracting #0: cost 1 inf + 0 78.338 * * [simplify]: Extracting #1: cost 4 inf + 0 78.338 * * [simplify]: Extracting #2: cost 7 inf + 0 78.338 * * [simplify]: Extracting #3: cost 10 inf + 0 78.339 * * [simplify]: Extracting #4: cost 122 inf + 1 78.340 * * [simplify]: Extracting #5: cost 241 inf + 89 78.341 * * [simplify]: Extracting #6: cost 203 inf + 3666 78.345 * * [simplify]: Extracting #7: cost 128 inf + 17960 78.365 * * [simplify]: Extracting #8: cost 13 inf + 45848 78.395 * * [simplify]: Extracting #9: cost 0 inf + 48961 78.424 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 78.424 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 78.425 * * * * [progress]: [ 8 / 89 ] simplifiying candidate # 78.425 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 78.425 * * [simplify]: iters left: 6 (14 enodes) 78.433 * * [simplify]: iters left: 5 (55 enodes) 78.451 * * [simplify]: iters left: 4 (108 enodes) 78.480 * * [simplify]: iters left: 3 (363 enodes) 78.713 * * [simplify]: Extracting #0: cost 1 inf + 0 78.713 * * [simplify]: Extracting #1: cost 3 inf + 0 78.713 * * [simplify]: Extracting #2: cost 5 inf + 0 78.713 * * [simplify]: Extracting #3: cost 8 inf + 0 78.713 * * [simplify]: Extracting #4: cost 123 inf + 1 78.714 * * [simplify]: Extracting #5: cost 234 inf + 420 78.716 * * [simplify]: Extracting #6: cost 203 inf + 3175 78.721 * * [simplify]: Extracting #7: cost 127 inf + 18949 78.734 * * [simplify]: Extracting #8: cost 7 inf + 46860 78.759 * * [simplify]: Extracting #9: cost 0 inf + 48232 78.788 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 78.789 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 78.789 * * * * [progress]: [ 9 / 89 ] simplifiying candidate # 78.789 * [simplify]: Simplifying (sqrt 1) 78.789 * * [simplify]: iters left: 1 (2 enodes) 78.793 * * [simplify]: Extracting #0: cost 1 inf + 0 78.793 * * [simplify]: Extracting #1: cost 0 inf + 1 78.793 * [simplify]: Simplified to 1 78.793 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 78.793 * * * * [progress]: [ 10 / 89 ] simplifiying candidate # 78.793 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 78.794 * * [simplify]: iters left: 6 (16 enodes) 78.804 * * [simplify]: iters left: 5 (70 enodes) 78.831 * * [simplify]: iters left: 4 (176 enodes) 78.958 * * [simplify]: Extracting #0: cost 1 inf + 0 78.958 * * [simplify]: Extracting #1: cost 3 inf + 0 78.958 * * [simplify]: Extracting #2: cost 6 inf + 0 78.958 * * [simplify]: Extracting #3: cost 103 inf + 1 78.959 * * [simplify]: Extracting #4: cost 306 inf + 6 78.960 * * [simplify]: Extracting #5: cost 338 inf + 1810 78.967 * * [simplify]: Extracting #6: cost 242 inf + 27932 79.000 * * [simplify]: Extracting #7: cost 28 inf + 100762 79.024 * * [simplify]: Extracting #8: cost 0 inf + 110036 79.061 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 79.061 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 79.062 * * * * [progress]: [ 11 / 89 ] simplifiying candidate # 79.062 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 79.062 * * [simplify]: iters left: 6 (15 enodes) 79.070 * * [simplify]: iters left: 5 (62 enodes) 79.094 * * [simplify]: iters left: 4 (150 enodes) 79.199 * * [simplify]: Extracting #0: cost 1 inf + 0 79.200 * * [simplify]: Extracting #1: cost 3 inf + 0 79.200 * * [simplify]: Extracting #2: cost 9 inf + 0 79.200 * * [simplify]: Extracting #3: cost 105 inf + 2 79.201 * * [simplify]: Extracting #4: cost 286 inf + 6 79.204 * * [simplify]: Extracting #5: cost 280 inf + 1923 79.212 * * [simplify]: Extracting #6: cost 191 inf + 25190 79.241 * * [simplify]: Extracting #7: cost 26 inf + 76271 79.276 * * [simplify]: Extracting #8: cost 0 inf + 85028 79.312 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 79.312 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 79.312 * * * * [progress]: [ 12 / 89 ] simplifiying candidate # 79.312 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 79.313 * * [simplify]: iters left: 6 (12 enodes) 79.319 * * [simplify]: iters left: 5 (49 enodes) 79.335 * * [simplify]: iters left: 4 (102 enodes) 79.377 * * [simplify]: iters left: 3 (356 enodes) 79.619 * * [simplify]: Extracting #0: cost 1 inf + 0 79.619 * * [simplify]: Extracting #1: cost 4 inf + 0 79.620 * * [simplify]: Extracting #2: cost 116 inf + 1 79.621 * * [simplify]: Extracting #3: cost 234 inf + 254 79.623 * * [simplify]: Extracting #4: cost 192 inf + 4198 79.628 * * [simplify]: Extracting #5: cost 121 inf + 19235 79.648 * * [simplify]: Extracting #6: cost 5 inf + 46310 79.662 * * [simplify]: Extracting #7: cost 0 inf + 47117 79.690 * * [simplify]: Extracting #8: cost 0 inf + 46998 79.719 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 79.719 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 79.719 * * * * [progress]: [ 13 / 89 ] simplifiying candidate # 79.719 * * * * [progress]: [ 14 / 89 ] simplifiying candidate # 79.720 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 79.720 * * [simplify]: iters left: 6 (13 enodes) 79.727 * * [simplify]: iters left: 5 (52 enodes) 79.745 * * [simplify]: iters left: 4 (105 enodes) 79.795 * * [simplify]: iters left: 3 (359 enodes) 80.036 * * [simplify]: Extracting #0: cost 1 inf + 0 80.036 * * [simplify]: Extracting #1: cost 3 inf + 0 80.036 * * [simplify]: Extracting #2: cost 6 inf + 0 80.036 * * [simplify]: Extracting #3: cost 118 inf + 1 80.037 * * [simplify]: Extracting #4: cost 235 inf + 336 80.039 * * [simplify]: Extracting #5: cost 193 inf + 4402 80.043 * * [simplify]: Extracting #6: cost 119 inf + 19348 80.066 * * [simplify]: Extracting #7: cost 7 inf + 46040 80.094 * * [simplify]: Extracting #8: cost 0 inf + 47488 80.123 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 80.123 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 80.123 * * * * [progress]: [ 15 / 89 ] simplifiying candidate # 80.124 * * * * [progress]: [ 16 / 89 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))> 80.124 * * * * [progress]: [ 17 / 89 ] simplifiying candidate # 80.124 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 80.124 * * [simplify]: iters left: 6 (20 enodes) 80.135 * * [simplify]: iters left: 5 (85 enodes) 80.158 * * [simplify]: iters left: 4 (185 enodes) 80.222 * * [simplify]: Extracting #0: cost 1 inf + 0 80.222 * * [simplify]: Extracting #1: cost 26 inf + 0 80.222 * * [simplify]: Extracting #2: cost 69 inf + 1 80.223 * * [simplify]: Extracting #3: cost 73 inf + 84 80.224 * * [simplify]: Extracting #4: cost 112 inf + 1543 80.225 * * [simplify]: Extracting #5: cost 157 inf + 4150 80.233 * * [simplify]: Extracting #6: cost 44 inf + 31505 80.253 * * [simplify]: Extracting #7: cost 3 inf + 48123 80.275 * * [simplify]: Extracting #8: cost 0 inf + 49326 80.297 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 80.297 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 80.298 * * * * [progress]: [ 18 / 89 ] simplifiying candidate # 80.298 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 80.298 * * [simplify]: iters left: 6 (20 enodes) 80.309 * * [simplify]: iters left: 5 (85 enodes) 80.339 * * [simplify]: iters left: 4 (185 enodes) 80.428 * * [simplify]: Extracting #0: cost 1 inf + 0 80.428 * * [simplify]: Extracting #1: cost 26 inf + 0 80.428 * * [simplify]: Extracting #2: cost 69 inf + 1 80.429 * * [simplify]: Extracting #3: cost 73 inf + 84 80.430 * * [simplify]: Extracting #4: cost 112 inf + 1543 80.431 * * [simplify]: Extracting #5: cost 157 inf + 4150 80.435 * * [simplify]: Extracting #6: cost 44 inf + 31505 80.446 * * [simplify]: Extracting #7: cost 3 inf + 48123 80.457 * * [simplify]: Extracting #8: cost 0 inf + 49326 80.479 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 80.479 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 80.479 * * * * [progress]: [ 19 / 89 ] simplifiying candidate # 80.480 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 80.480 * * [simplify]: iters left: 6 (20 enodes) 80.491 * * [simplify]: iters left: 5 (85 enodes) 80.525 * * [simplify]: iters left: 4 (185 enodes) 80.610 * * [simplify]: Extracting #0: cost 1 inf + 0 80.610 * * [simplify]: Extracting #1: cost 26 inf + 0 80.610 * * [simplify]: Extracting #2: cost 69 inf + 1 80.611 * * [simplify]: Extracting #3: cost 73 inf + 84 80.612 * * [simplify]: Extracting #4: cost 112 inf + 1543 80.614 * * [simplify]: Extracting #5: cost 157 inf + 4150 80.623 * * [simplify]: Extracting #6: cost 44 inf + 31505 80.638 * * [simplify]: Extracting #7: cost 3 inf + 48123 80.652 * * [simplify]: Extracting #8: cost 0 inf + 49326 80.665 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 80.666 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 80.666 * * * * [progress]: [ 20 / 89 ] simplifiying candidate # 80.666 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 80.666 * * [simplify]: iters left: 6 (20 enodes) 80.677 * * [simplify]: iters left: 5 (85 enodes) 80.707 * * [simplify]: iters left: 4 (185 enodes) 80.797 * * [simplify]: Extracting #0: cost 1 inf + 0 80.797 * * [simplify]: Extracting #1: cost 26 inf + 0 80.798 * * [simplify]: Extracting #2: cost 69 inf + 1 80.798 * * [simplify]: Extracting #3: cost 73 inf + 84 80.799 * * [simplify]: Extracting #4: cost 112 inf + 1543 80.801 * * [simplify]: Extracting #5: cost 157 inf + 4150 80.810 * * [simplify]: Extracting #6: cost 44 inf + 31505 80.829 * * [simplify]: Extracting #7: cost 3 inf + 48123 80.844 * * [simplify]: Extracting #8: cost 0 inf + 49326 80.855 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 80.856 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 80.856 * * * * [progress]: [ 21 / 89 ] simplifiying candidate # 80.856 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 80.856 * * [simplify]: iters left: 6 (20 enodes) 80.861 * * [simplify]: iters left: 5 (85 enodes) 80.881 * * [simplify]: iters left: 4 (185 enodes) 80.938 * * [simplify]: Extracting #0: cost 1 inf + 0 80.938 * * [simplify]: Extracting #1: cost 26 inf + 0 80.938 * * [simplify]: Extracting #2: cost 69 inf + 1 80.939 * * [simplify]: Extracting #3: cost 73 inf + 84 80.939 * * [simplify]: Extracting #4: cost 112 inf + 1543 80.940 * * [simplify]: Extracting #5: cost 157 inf + 4150 80.945 * * [simplify]: Extracting #6: cost 44 inf + 31505 80.962 * * [simplify]: Extracting #7: cost 3 inf + 48123 80.979 * * [simplify]: Extracting #8: cost 0 inf + 49326 80.993 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 80.993 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 80.993 * * * * [progress]: [ 22 / 89 ] simplifiying candidate # 80.993 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 80.993 * * [simplify]: iters left: 6 (20 enodes) 80.999 * * [simplify]: iters left: 5 (85 enodes) 81.014 * * [simplify]: iters left: 4 (185 enodes) 81.081 * * [simplify]: Extracting #0: cost 1 inf + 0 81.082 * * [simplify]: Extracting #1: cost 26 inf + 0 81.082 * * [simplify]: Extracting #2: cost 69 inf + 1 81.082 * * [simplify]: Extracting #3: cost 73 inf + 84 81.083 * * [simplify]: Extracting #4: cost 112 inf + 1543 81.085 * * [simplify]: Extracting #5: cost 157 inf + 4150 81.095 * * [simplify]: Extracting #6: cost 44 inf + 31505 81.114 * * [simplify]: Extracting #7: cost 3 inf + 48123 81.136 * * [simplify]: Extracting #8: cost 0 inf + 49326 81.157 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 81.157 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 81.157 * * * * [progress]: [ 23 / 89 ] simplifiying candidate # 81.158 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 81.158 * * [simplify]: iters left: 6 (20 enodes) 81.168 * * [simplify]: iters left: 5 (85 enodes) 81.197 * * [simplify]: iters left: 4 (185 enodes) 81.252 * * [simplify]: Extracting #0: cost 1 inf + 0 81.252 * * [simplify]: Extracting #1: cost 26 inf + 0 81.252 * * [simplify]: Extracting #2: cost 69 inf + 1 81.252 * * [simplify]: Extracting #3: cost 73 inf + 84 81.253 * * [simplify]: Extracting #4: cost 112 inf + 1543 81.253 * * [simplify]: Extracting #5: cost 157 inf + 4150 81.259 * * [simplify]: Extracting #6: cost 44 inf + 31505 81.278 * * [simplify]: Extracting #7: cost 3 inf + 48123 81.300 * * [simplify]: Extracting #8: cost 0 inf + 49326 81.326 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 81.326 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 81.326 * * * * [progress]: [ 24 / 89 ] simplifiying candidate # 81.327 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 81.327 * * [simplify]: iters left: 6 (20 enodes) 81.337 * * [simplify]: iters left: 5 (85 enodes) 81.366 * * [simplify]: iters left: 4 (185 enodes) 81.427 * * [simplify]: Extracting #0: cost 1 inf + 0 81.427 * * [simplify]: Extracting #1: cost 26 inf + 0 81.427 * * [simplify]: Extracting #2: cost 69 inf + 1 81.428 * * [simplify]: Extracting #3: cost 73 inf + 84 81.429 * * [simplify]: Extracting #4: cost 112 inf + 1543 81.435 * * [simplify]: Extracting #5: cost 157 inf + 4150 81.445 * * [simplify]: Extracting #6: cost 44 inf + 31505 81.456 * * [simplify]: Extracting #7: cost 3 inf + 48123 81.468 * * [simplify]: Extracting #8: cost 0 inf + 49326 81.479 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 81.479 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 81.480 * * * * [progress]: [ 25 / 89 ] simplifiying candidate # 81.480 * * * * [progress]: [ 26 / 89 ] simplifiying candidate # 81.480 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J)))) (log (cbrt J)))) 81.480 * * [simplify]: iters left: 6 (24 enodes) 81.487 * * [simplify]: iters left: 5 (97 enodes) 81.517 * * [simplify]: iters left: 4 (197 enodes) 81.600 * * [simplify]: Extracting #0: cost 1 inf + 0 81.600 * * [simplify]: Extracting #1: cost 26 inf + 0 81.600 * * [simplify]: Extracting #2: cost 71 inf + 0 81.601 * * [simplify]: Extracting #3: cost 76 inf + 72 81.601 * * [simplify]: Extracting #4: cost 80 inf + 144 81.602 * * [simplify]: Extracting #5: cost 127 inf + 309 81.603 * * [simplify]: Extracting #6: cost 178 inf + 2148 81.612 * * [simplify]: Extracting #7: cost 65 inf + 32632 81.632 * * [simplify]: Extracting #8: cost 2 inf + 60391 81.655 * * [simplify]: Extracting #9: cost 0 inf + 61773 81.681 * [simplify]: Simplified to (+ (+ (log (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (+ (log (cbrt J)) (log -2))) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))) 81.681 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (+ (log (cbrt J)) (log -2))) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))))) 81.681 * * * * [progress]: [ 27 / 89 ] simplifiying candidate # 81.681 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cos (/ K 2))) (log (* (cbrt J) (cbrt J)))) (log (cbrt J)))) 81.682 * * [simplify]: iters left: 6 (25 enodes) 81.698 * * [simplify]: iters left: 5 (99 enodes) 81.731 * * [simplify]: iters left: 4 (194 enodes) 81.797 * * [simplify]: Extracting #0: cost 1 inf + 0 81.797 * * [simplify]: Extracting #1: cost 28 inf + 0 81.797 * * [simplify]: Extracting #2: cost 74 inf + 0 81.797 * * [simplify]: Extracting #3: cost 80 inf + 72 81.798 * * [simplify]: Extracting #4: cost 84 inf + 144 81.801 * * [simplify]: Extracting #5: cost 126 inf + 1637 81.803 * * [simplify]: Extracting #6: cost 164 inf + 6538 81.812 * * [simplify]: Extracting #7: cost 69 inf + 34059 81.833 * * [simplify]: Extracting #8: cost 3 inf + 62117 81.857 * * [simplify]: Extracting #9: cost 0 inf + 63626 81.872 * * [simplify]: Extracting #10: cost 0 inf + 63587 81.886 * [simplify]: Simplified to (+ (+ (log (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))) (+ (log -2) (+ (log (cbrt J)) (log (cbrt J))))) (+ (log (cos (/ K 2))) (log (cbrt J)))) 81.886 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))) (+ (log -2) (+ (log (cbrt J)) (log (cbrt J))))) (+ (log (cos (/ K 2))) (log (cbrt J)))))) 81.886 * * * * [progress]: [ 28 / 89 ] simplifiying candidate # 81.886 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (log (cbrt J)))) 81.887 * * [simplify]: iters left: 6 (24 enodes) 81.893 * * [simplify]: iters left: 5 (98 enodes) 81.929 * * [simplify]: iters left: 4 (192 enodes) 82.008 * * [simplify]: Extracting #0: cost 1 inf + 0 82.008 * * [simplify]: Extracting #1: cost 25 inf + 0 82.008 * * [simplify]: Extracting #2: cost 67 inf + 0 82.008 * * [simplify]: Extracting #3: cost 75 inf + 72 82.009 * * [simplify]: Extracting #4: cost 78 inf + 306 82.010 * * [simplify]: Extracting #5: cost 122 inf + 1346 82.012 * * [simplify]: Extracting #6: cost 168 inf + 4496 82.021 * * [simplify]: Extracting #7: cost 66 inf + 33031 82.044 * * [simplify]: Extracting #8: cost 1 inf + 59278 82.067 * * [simplify]: Extracting #9: cost 0 inf + 59467 82.094 * [simplify]: Simplified to (+ (+ (+ (log (cbrt J)) (log -2)) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (* (* (cos (/ K 2)) (cbrt J)) (cbrt J)))) 82.094 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt J)) (log -2)) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (* (* (cos (/ K 2)) (cbrt J)) (cbrt J)))))) 82.095 * * * * [progress]: [ 29 / 89 ] simplifiying candidate # 82.095 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 82.095 * * [simplify]: iters left: 6 (23 enodes) 82.107 * * [simplify]: iters left: 5 (95 enodes) 82.136 * * [simplify]: iters left: 4 (188 enodes) 82.185 * * [simplify]: Extracting #0: cost 1 inf + 0 82.185 * * [simplify]: Extracting #1: cost 14 inf + 0 82.185 * * [simplify]: Extracting #2: cost 48 inf + 0 82.185 * * [simplify]: Extracting #3: cost 63 inf + 72 82.186 * * [simplify]: Extracting #4: cost 64 inf + 458 82.187 * * [simplify]: Extracting #5: cost 107 inf + 2874 82.189 * * [simplify]: Extracting #6: cost 153 inf + 5468 82.198 * * [simplify]: Extracting #7: cost 56 inf + 31327 82.216 * * [simplify]: Extracting #8: cost 0 inf + 50413 82.236 * * [simplify]: Extracting #9: cost 0 inf + 50374 82.246 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) (* (* (cbrt J) (cbrt J)) (cbrt J)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 82.247 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) (* (* (cbrt J) (cbrt J)) (cbrt J)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 82.247 * * * * [progress]: [ 30 / 89 ] simplifiying candidate # 82.247 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J)))) (log (cbrt J)))) 82.247 * * [simplify]: iters left: 6 (23 enodes) 82.254 * * [simplify]: iters left: 5 (95 enodes) 82.274 * * [simplify]: iters left: 4 (189 enodes) 82.323 * * [simplify]: Extracting #0: cost 1 inf + 0 82.323 * * [simplify]: Extracting #1: cost 24 inf + 0 82.323 * * [simplify]: Extracting #2: cost 65 inf + 0 82.324 * * [simplify]: Extracting #3: cost 70 inf + 72 82.324 * * [simplify]: Extracting #4: cost 73 inf + 225 82.325 * * [simplify]: Extracting #5: cost 119 inf + 873 82.326 * * [simplify]: Extracting #6: cost 171 inf + 2470 82.335 * * [simplify]: Extracting #7: cost 64 inf + 27552 82.354 * * [simplify]: Extracting #8: cost 9 inf + 51692 82.372 * * [simplify]: Extracting #9: cost 0 inf + 57871 82.384 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))) 82.384 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))) 82.384 * * * * [progress]: [ 31 / 89 ] simplifiying candidate # 82.385 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cos (/ K 2))) (log (* (cbrt J) (cbrt J)))) (log (cbrt J)))) 82.385 * * [simplify]: iters left: 6 (24 enodes) 82.392 * * [simplify]: iters left: 5 (97 enodes) 82.426 * * [simplify]: iters left: 4 (186 enodes) 82.508 * * [simplify]: Extracting #0: cost 1 inf + 0 82.508 * * [simplify]: Extracting #1: cost 26 inf + 0 82.508 * * [simplify]: Extracting #2: cost 67 inf + 0 82.509 * * [simplify]: Extracting #3: cost 74 inf + 1 82.509 * * [simplify]: Extracting #4: cost 75 inf + 306 82.510 * * [simplify]: Extracting #5: cost 120 inf + 964 82.512 * * [simplify]: Extracting #6: cost 169 inf + 3179 82.520 * * [simplify]: Extracting #7: cost 68 inf + 27982 82.543 * * [simplify]: Extracting #8: cost 6 inf + 55356 82.555 * * [simplify]: Extracting #9: cost 0 inf + 58948 82.567 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (cbrt J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cos (/ K 2))))) 82.567 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (cbrt J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cos (/ K 2))))))) 82.567 * * * * [progress]: [ 32 / 89 ] simplifiying candidate # 82.568 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (log (cbrt J)))) 82.568 * * [simplify]: iters left: 6 (23 enodes) 82.575 * * [simplify]: iters left: 5 (96 enodes) 82.599 * * [simplify]: iters left: 4 (186 enodes) 82.645 * * [simplify]: Extracting #0: cost 1 inf + 0 82.645 * * [simplify]: Extracting #1: cost 22 inf + 0 82.646 * * [simplify]: Extracting #2: cost 60 inf + 0 82.646 * * [simplify]: Extracting #3: cost 70 inf + 1 82.647 * * [simplify]: Extracting #4: cost 74 inf + 144 82.647 * * [simplify]: Extracting #5: cost 116 inf + 1306 82.650 * * [simplify]: Extracting #6: cost 153 inf + 6103 82.660 * * [simplify]: Extracting #7: cost 44 inf + 34557 82.681 * * [simplify]: Extracting #8: cost 2 inf + 54223 82.703 * * [simplify]: Extracting #9: cost 0 inf + 55096 82.724 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (* (cbrt J) (cos (/ K 2)))))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) 82.724 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (* (cbrt J) (cos (/ K 2)))))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))))) 82.725 * * * * [progress]: [ 33 / 89 ] simplifiying candidate # 82.725 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 82.725 * * [simplify]: iters left: 6 (22 enodes) 82.736 * * [simplify]: iters left: 5 (93 enodes) 82.771 * * [simplify]: iters left: 4 (185 enodes) 82.844 * * [simplify]: Extracting #0: cost 1 inf + 0 82.844 * * [simplify]: Extracting #1: cost 14 inf + 0 82.844 * * [simplify]: Extracting #2: cost 46 inf + 0 82.845 * * [simplify]: Extracting #3: cost 58 inf + 143 82.845 * * [simplify]: Extracting #4: cost 62 inf + 226 82.846 * * [simplify]: Extracting #5: cost 109 inf + 1274 82.847 * * [simplify]: Extracting #6: cost 153 inf + 4165 82.855 * * [simplify]: Extracting #7: cost 59 inf + 26349 82.872 * * [simplify]: Extracting #8: cost 3 inf + 45737 82.890 * * [simplify]: Extracting #9: cost 0 inf + 47755 82.911 * * [simplify]: Extracting #10: cost 0 inf + 47754 82.929 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (log (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cos (/ K 2)))))) 82.929 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (log (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cos (/ K 2)))))))) 82.930 * * * * [progress]: [ 34 / 89 ] simplifiying candidate # 82.930 * * * * [progress]: [ 35 / 89 ] simplifiying candidate # 82.930 * * * * [progress]: [ 36 / 89 ] simplifiying candidate # 82.930 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* J J)) J)) 82.930 * * [simplify]: iters left: 6 (25 enodes) 82.941 * * [simplify]: iters left: 5 (108 enodes) 82.963 * * [simplify]: iters left: 4 (295 enodes) 83.125 * * [simplify]: Extracting #0: cost 1 inf + 0 83.125 * * [simplify]: Extracting #1: cost 57 inf + 0 83.126 * * [simplify]: Extracting #2: cost 298 inf + 126 83.128 * * [simplify]: Extracting #3: cost 375 inf + 1892 83.129 * * [simplify]: Extracting #4: cost 426 inf + 2104 83.137 * * [simplify]: Extracting #5: cost 307 inf + 30533 83.164 * * [simplify]: Extracting #6: cost 90 inf + 112046 83.236 * * [simplify]: Extracting #7: cost 2 inf + 154961 83.310 * * [simplify]: Extracting #8: cost 0 inf + 155973 83.374 * [simplify]: Simplified to (* (* -8 (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 83.374 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* -8 (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 83.375 * * * * [progress]: [ 37 / 89 ] simplifiying candidate # 83.375 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cbrt J))) (* (cbrt J) (cbrt J)))) J)) 83.375 * * [simplify]: iters left: 6 (28 enodes) 83.391 * * [simplify]: iters left: 5 (125 enodes) 83.430 * * [simplify]: iters left: 4 (358 enodes) 83.689 * * [simplify]: Extracting #0: cost 1 inf + 0 83.693 * * [simplify]: Extracting #1: cost 97 inf + 0 83.695 * * [simplify]: Extracting #2: cost 432 inf + 45 83.699 * * [simplify]: Extracting #3: cost 506 inf + 2649 83.716 * * [simplify]: Extracting #4: cost 405 inf + 42189 83.772 * * [simplify]: Extracting #5: cost 125 inf + 143779 83.872 * * [simplify]: Extracting #6: cost 6 inf + 208042 83.942 * * [simplify]: Extracting #7: cost 0 inf + 211476 84.029 * * [simplify]: Extracting #8: cost 0 inf + 211474 84.088 * [simplify]: Simplified to (* (* J (* (cos (/ K 2)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) 84.088 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* J (* (cos (/ K 2)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))) 84.088 * * * * [progress]: [ 38 / 89 ] simplifiying candidate # 84.089 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) J)) 84.089 * * [simplify]: iters left: 6 (26 enodes) 84.100 * * [simplify]: iters left: 5 (118 enodes) 84.133 * * [simplify]: iters left: 4 (356 enodes) 84.385 * * [simplify]: Extracting #0: cost 1 inf + 0 84.385 * * [simplify]: Extracting #1: cost 79 inf + 0 84.387 * * [simplify]: Extracting #2: cost 406 inf + 4 84.392 * * [simplify]: Extracting #3: cost 505 inf + 1992 84.395 * * [simplify]: Extracting #4: cost 546 inf + 4634 84.408 * * [simplify]: Extracting #5: cost 389 inf + 47767 84.448 * * [simplify]: Extracting #6: cost 123 inf + 162321 84.524 * * [simplify]: Extracting #7: cost 2 inf + 230251 84.612 * * [simplify]: Extracting #8: cost 0 inf + 230983 84.708 * [simplify]: Simplified to (* (* (* (* (* J -8) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 84.708 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* J -8) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 84.709 * * * * [progress]: [ 39 / 89 ] simplifiying candidate # 84.709 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 84.710 * * [simplify]: iters left: 6 (26 enodes) 84.725 * * [simplify]: iters left: 5 (117 enodes) 84.756 * * [simplify]: iters left: 4 (366 enodes) 84.982 * * [simplify]: Extracting #0: cost 1 inf + 0 84.982 * * [simplify]: Extracting #1: cost 76 inf + 0 84.985 * * [simplify]: Extracting #2: cost 388 inf + 3 84.989 * * [simplify]: Extracting #3: cost 524 inf + 734 85.009 * * [simplify]: Extracting #4: cost 443 inf + 44545 85.068 * * [simplify]: Extracting #5: cost 108 inf + 185644 85.153 * * [simplify]: Extracting #6: cost 2 inf + 245160 85.259 * * [simplify]: Extracting #7: cost 0 inf + 246292 85.357 * [simplify]: Simplified to (* (* (* (* (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) -8) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) 85.357 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) -8) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 85.357 * * * * [progress]: [ 40 / 89 ] simplifiying candidate # 85.357 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* J J)) J)) 85.358 * * [simplify]: iters left: 6 (23 enodes) 85.365 * * [simplify]: iters left: 5 (108 enodes) 85.394 * * [simplify]: iters left: 4 (277 enodes) 85.532 * * [simplify]: Extracting #0: cost 1 inf + 0 85.533 * * [simplify]: Extracting #1: cost 51 inf + 0 85.533 * * [simplify]: Extracting #2: cost 227 inf + 2 85.534 * * [simplify]: Extracting #3: cost 230 inf + 171 85.535 * * [simplify]: Extracting #4: cost 278 inf + 539 85.544 * * [simplify]: Extracting #5: cost 258 inf + 24904 85.569 * * [simplify]: Extracting #6: cost 34 inf + 108311 85.605 * * [simplify]: Extracting #7: cost 0 inf + 120063 85.651 * * [simplify]: Extracting #8: cost 0 inf + 119782 85.699 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 85.699 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 85.700 * * * * [progress]: [ 41 / 89 ] simplifiying candidate # 85.700 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cbrt J))) (* (cbrt J) (cbrt J)))) J)) 85.700 * * [simplify]: iters left: 6 (26 enodes) 85.708 * * [simplify]: iters left: 5 (125 enodes) 85.735 * * [simplify]: iters left: 4 (337 enodes) 85.885 * * [simplify]: Extracting #0: cost 1 inf + 0 85.885 * * [simplify]: Extracting #1: cost 68 inf + 0 85.886 * * [simplify]: Extracting #2: cost 328 inf + 43 85.888 * * [simplify]: Extracting #3: cost 352 inf + 1062 85.891 * * [simplify]: Extracting #4: cost 338 inf + 14284 85.924 * * [simplify]: Extracting #5: cost 197 inf + 100047 86.014 * * [simplify]: Extracting #6: cost 11 inf + 174480 86.103 * * [simplify]: Extracting #7: cost 0 inf + 176108 86.184 * * [simplify]: Extracting #8: cost 0 inf + 176027 86.254 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) 86.254 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))) 86.254 * * * * [progress]: [ 42 / 89 ] simplifiying candidate # 86.255 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) J)) 86.255 * * [simplify]: iters left: 6 (24 enodes) 86.269 * * [simplify]: iters left: 5 (118 enodes) 86.320 * * [simplify]: iters left: 4 (338 enodes) 86.482 * * [simplify]: Extracting #0: cost 1 inf + 0 86.482 * * [simplify]: Extracting #1: cost 79 inf + 0 86.484 * * [simplify]: Extracting #2: cost 366 inf + 84 86.485 * * [simplify]: Extracting #3: cost 419 inf + 2024 86.487 * * [simplify]: Extracting #4: cost 467 inf + 3737 86.517 * * [simplify]: Extracting #5: cost 272 inf + 80171 86.621 * * [simplify]: Extracting #6: cost 15 inf + 207881 86.707 * * [simplify]: Extracting #7: cost 0 inf + 210246 86.785 * * [simplify]: Extracting #8: cost 0 inf + 210206 86.850 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* J (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))))) (* (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) -8)) 86.850 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* J (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))))) (* (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) -8)))) 86.850 * * * * [progress]: [ 43 / 89 ] simplifiying candidate # 86.851 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 86.851 * * [simplify]: iters left: 6 (24 enodes) 86.861 * * [simplify]: iters left: 5 (117 enodes) 86.908 * * [simplify]: iters left: 4 (348 enodes) 87.089 * * [simplify]: Extracting #0: cost 1 inf + 0 87.089 * * [simplify]: Extracting #1: cost 67 inf + 0 87.090 * * [simplify]: Extracting #2: cost 331 inf + 1 87.091 * * [simplify]: Extracting #3: cost 361 inf + 529 87.096 * * [simplify]: Extracting #4: cost 342 inf + 20043 87.144 * * [simplify]: Extracting #5: cost 214 inf + 112351 87.226 * * [simplify]: Extracting #6: cost 19 inf + 202841 87.313 * * [simplify]: Extracting #7: cost 0 inf + 208729 87.382 * * [simplify]: Extracting #8: cost 0 inf + 208244 87.470 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (* (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))))) 87.470 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (* (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))))))) 87.470 * * * * [progress]: [ 44 / 89 ] simplifiying candidate # 87.471 * * * * [progress]: [ 45 / 89 ] simplifiying candidate # 87.471 * * * * [progress]: [ 46 / 89 ] simplifiying candidate # 87.471 * * * * [progress]: [ 47 / 89 ] simplifiying candidate # 87.471 * * * * [progress]: [ 48 / 89 ] simplifiying candidate # 87.471 * [simplify]: Simplifying (cbrt J) 87.471 * * [simplify]: iters left: 1 (2 enodes) 87.472 * * [simplify]: Extracting #0: cost 1 inf + 0 87.472 * * [simplify]: Extracting #1: cost 3 inf + 0 87.472 * * [simplify]: Extracting #2: cost 2 inf + 1 87.472 * * [simplify]: Extracting #3: cost 0 inf + 163 87.472 * [simplify]: Simplified to (cbrt J) 87.472 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (cbrt J))) 87.473 * * * * [progress]: [ 49 / 89 ] simplifiying candidate # 87.473 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 87.473 * * [simplify]: iters left: 6 (13 enodes) 87.480 * * [simplify]: iters left: 5 (52 enodes) 87.493 * * [simplify]: iters left: 4 (105 enodes) 87.526 * * [simplify]: iters left: 3 (359 enodes) 87.763 * * [simplify]: Extracting #0: cost 1 inf + 0 87.763 * * [simplify]: Extracting #1: cost 3 inf + 0 87.763 * * [simplify]: Extracting #2: cost 6 inf + 0 87.763 * * [simplify]: Extracting #3: cost 118 inf + 1 87.765 * * [simplify]: Extracting #4: cost 235 inf + 336 87.768 * * [simplify]: Extracting #5: cost 193 inf + 4402 87.775 * * [simplify]: Extracting #6: cost 119 inf + 19348 87.800 * * [simplify]: Extracting #7: cost 7 inf + 46040 87.814 * * [simplify]: Extracting #8: cost 0 inf + 47488 87.829 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 87.829 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))) 87.829 * * * * [progress]: [ 50 / 89 ] simplifiying candidate # 87.830 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 87.830 * * [simplify]: iters left: 6 (23 enodes) 87.844 * * [simplify]: iters left: 5 (103 enodes) 87.878 * * [simplify]: iters left: 4 (258 enodes) 88.012 * * [simplify]: Extracting #0: cost 1 inf + 0 88.012 * * [simplify]: Extracting #1: cost 26 inf + 0 88.012 * * [simplify]: Extracting #2: cost 69 inf + 1 88.013 * * [simplify]: Extracting #3: cost 74 inf + 3 88.014 * * [simplify]: Extracting #4: cost 164 inf + 452 88.017 * * [simplify]: Extracting #5: cost 361 inf + 4168 88.036 * * [simplify]: Extracting #6: cost 266 inf + 47944 88.075 * * [simplify]: Extracting #7: cost 28 inf + 127576 88.122 * * [simplify]: Extracting #8: cost 0 inf + 139847 88.161 * * [simplify]: Extracting #9: cost 0 inf + 139222 88.211 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) -2) 88.211 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 88.212 * * * * [progress]: [ 51 / 89 ] simplifiying candidate # 88.212 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) 88.212 * * [simplify]: iters left: 6 (22 enodes) 88.221 * * [simplify]: iters left: 5 (95 enodes) 88.239 * * [simplify]: iters left: 4 (230 enodes) 88.365 * * [simplify]: Extracting #0: cost 1 inf + 0 88.365 * * [simplify]: Extracting #1: cost 26 inf + 0 88.366 * * [simplify]: Extracting #2: cost 69 inf + 1 88.366 * * [simplify]: Extracting #3: cost 76 inf + 84 88.366 * * [simplify]: Extracting #4: cost 157 inf + 1140 88.368 * * [simplify]: Extracting #5: cost 316 inf + 5373 88.385 * * [simplify]: Extracting #6: cost 111 inf + 69441 88.411 * * [simplify]: Extracting #7: cost 2 inf + 110094 88.445 * * [simplify]: Extracting #8: cost 0 inf + 111145 88.483 * [simplify]: Simplified to (* (sqrt (- (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) (* (* (* -2 (cbrt J)) (* (cbrt J) (cbrt J))) (cos (/ K 2)))) 88.483 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (sqrt (- (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) (* (* (* -2 (cbrt J)) (* (cbrt J) (cbrt J))) (cos (/ K 2)))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 88.484 * * * * [progress]: [ 52 / 89 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))))> 88.484 * * * * [progress]: [ 53 / 89 ] simplifiying candidate # 88.484 * * * * [progress]: [ 54 / 89 ] simplifiying candidate # 88.484 * * * * [progress]: [ 55 / 89 ] simplifiying candidate # 88.484 * * * * [progress]: [ 56 / 89 ] simplifiying candidate # 88.484 * * * * [progress]: [ 57 / 89 ] simplifiying candidate # 88.484 * * * * [progress]: [ 58 / 89 ] simplifiying candidate # 88.484 * [simplify]: Simplifying (cbrt (* (cbrt J) (cbrt J))) 88.484 * * [simplify]: iters left: 4 (4 enodes) 88.486 * * [simplify]: iters left: 3 (12 enodes) 88.489 * * [simplify]: Extracting #0: cost 1 inf + 0 88.489 * * [simplify]: Extracting #1: cost 3 inf + 0 88.489 * * [simplify]: Extracting #2: cost 5 inf + 0 88.489 * * [simplify]: Extracting #3: cost 7 inf + 0 88.489 * * [simplify]: Extracting #4: cost 6 inf + 1 88.489 * * [simplify]: Extracting #5: cost 0 inf + 807 88.490 * [simplify]: Simplified to (cbrt (* (cbrt J) (cbrt J))) 88.490 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cbrt (* (cbrt J) (cbrt J))) (cbrt (cbrt J)))))) 88.490 * * * * [progress]: [ 59 / 89 ] simplifiying candidate # 88.490 * [simplify]: Simplifying (cbrt (sqrt J)) 88.490 * * [simplify]: iters left: 2 (3 enodes) 88.491 * * [simplify]: iters left: 1 (9 enodes) 88.494 * * [simplify]: Extracting #0: cost 1 inf + 0 88.494 * * [simplify]: Extracting #1: cost 3 inf + 0 88.494 * * [simplify]: Extracting #2: cost 5 inf + 0 88.494 * * [simplify]: Extracting #3: cost 4 inf + 1 88.494 * * [simplify]: Extracting #4: cost 0 inf + 325 88.494 * [simplify]: Simplified to (cbrt (sqrt J)) 88.494 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cbrt (sqrt J)) (cbrt (sqrt J)))))) 88.494 * * * * [progress]: [ 60 / 89 ] simplifiying candidate # 88.495 * [simplify]: Simplifying (cbrt 1) 88.495 * * [simplify]: iters left: 1 (2 enodes) 88.498 * * [simplify]: Extracting #0: cost 1 inf + 0 88.498 * * [simplify]: Extracting #1: cost 0 inf + 1 88.498 * [simplify]: Simplified to 1 88.498 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* 1 (cbrt J))))) 88.498 * * * * [progress]: [ 61 / 89 ] simplifiying candidate # 88.498 * * * * [progress]: [ 62 / 89 ] simplifiying candidate # 88.498 * * * * [progress]: [ 63 / 89 ] simplifiying candidate # 88.498 * * * * [progress]: [ 64 / 89 ] simplifiying candidate # 88.499 * * * * [progress]: [ 65 / 89 ] simplifiying candidate #real (real->posit16 (cbrt J))))))> 88.499 * * * * [progress]: [ 66 / 89 ] simplifiying candidate # 88.499 * * * * [progress]: [ 67 / 89 ] simplifiying candidate # 88.499 * * * * [progress]: [ 68 / 89 ] simplifiying candidate # 88.499 * * * * [progress]: [ 69 / 89 ] simplifiying candidate # 88.499 * * * * [progress]: [ 70 / 89 ] simplifiying candidate # 88.499 * [simplify]: Simplifying (cbrt (* (cbrt J) (cbrt J))) 88.499 * * [simplify]: iters left: 4 (4 enodes) 88.501 * * [simplify]: iters left: 3 (12 enodes) 88.504 * * [simplify]: Extracting #0: cost 1 inf + 0 88.504 * * [simplify]: Extracting #1: cost 3 inf + 0 88.504 * * [simplify]: Extracting #2: cost 5 inf + 0 88.504 * * [simplify]: Extracting #3: cost 7 inf + 0 88.504 * * [simplify]: Extracting #4: cost 6 inf + 1 88.504 * * [simplify]: Extracting #5: cost 0 inf + 807 88.505 * [simplify]: Simplified to (cbrt (* (cbrt J) (cbrt J))) 88.505 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt (* (cbrt J) (cbrt J))) (cbrt (cbrt J))))) (cbrt J)))) 88.505 * * * * [progress]: [ 71 / 89 ] simplifiying candidate # 88.505 * [simplify]: Simplifying (cbrt (sqrt J)) 88.505 * * [simplify]: iters left: 2 (3 enodes) 88.506 * * [simplify]: iters left: 1 (9 enodes) 88.509 * * [simplify]: Extracting #0: cost 1 inf + 0 88.509 * * [simplify]: Extracting #1: cost 3 inf + 0 88.509 * * [simplify]: Extracting #2: cost 5 inf + 0 88.509 * * [simplify]: Extracting #3: cost 4 inf + 1 88.509 * * [simplify]: Extracting #4: cost 0 inf + 325 88.509 * [simplify]: Simplified to (cbrt (sqrt J)) 88.509 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt (sqrt J)) (cbrt (sqrt J))))) (cbrt J)))) 88.510 * * * * [progress]: [ 72 / 89 ] simplifiying candidate # 88.510 * [simplify]: Simplifying (cbrt 1) 88.510 * * [simplify]: iters left: 1 (2 enodes) 88.514 * * [simplify]: Extracting #0: cost 1 inf + 0 88.514 * * [simplify]: Extracting #1: cost 0 inf + 1 88.514 * [simplify]: Simplified to 1 88.514 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* 1 (cbrt J)))) (cbrt J)))) 88.514 * * * * [progress]: [ 73 / 89 ] simplifiying candidate # 88.514 * * * * [progress]: [ 74 / 89 ] simplifiying candidate # 88.514 * * * * [progress]: [ 75 / 89 ] simplifiying candidate # 88.514 * * * * [progress]: [ 76 / 89 ] simplifiying candidate # 88.514 * * * * [progress]: [ 77 / 89 ] simplifiying candidate #real (real->posit16 (cbrt J))))) (cbrt J))))> 88.514 * * * * [progress]: [ 78 / 89 ] simplifiying candidate # 88.514 * [simplify]: Simplifying 1 88.514 * * [simplify]: iters left: 0 (1 enodes) 88.515 * * [simplify]: Extracting #0: cost 1 inf + 0 88.515 * * [simplify]: Extracting #1: cost 0 inf + 1 88.515 * [simplify]: Simplified to 1 88.515 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 88.515 * * * * [progress]: [ 79 / 89 ] simplifiying candidate # 88.515 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 88.515 * * [simplify]: iters left: 6 (9 enodes) 88.518 * * [simplify]: iters left: 5 (34 enodes) 88.523 * * [simplify]: iters left: 4 (56 enodes) 88.531 * * [simplify]: iters left: 3 (90 enodes) 88.544 * * [simplify]: iters left: 2 (114 enodes) 88.959 * * [simplify]: iters left: 1 (131 enodes) 88.980 * * [simplify]: Extracting #0: cost 1 inf + 0 88.980 * * [simplify]: Extracting #1: cost 22 inf + 0 88.980 * * [simplify]: Extracting #2: cost 37 inf + 3 88.980 * * [simplify]: Extracting #3: cost 31 inf + 380 88.981 * * [simplify]: Extracting #4: cost 17 inf + 1834 88.983 * * [simplify]: Extracting #5: cost 3 inf + 4117 88.985 * * [simplify]: Extracting #6: cost 0 inf + 4586 88.987 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 88.987 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 88.987 * * * * [progress]: [ 80 / 89 ] simplifiying candidate # 88.988 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 88.988 * * [simplify]: iters left: 6 (9 enodes) 88.992 * * [simplify]: iters left: 5 (34 enodes) 89.002 * * [simplify]: iters left: 4 (56 enodes) 89.011 * * [simplify]: iters left: 3 (90 enodes) 89.023 * * [simplify]: iters left: 2 (114 enodes) 89.046 * * [simplify]: iters left: 1 (131 enodes) 89.082 * * [simplify]: Extracting #0: cost 1 inf + 0 89.082 * * [simplify]: Extracting #1: cost 22 inf + 0 89.082 * * [simplify]: Extracting #2: cost 37 inf + 3 89.082 * * [simplify]: Extracting #3: cost 31 inf + 380 89.083 * * [simplify]: Extracting #4: cost 17 inf + 1834 89.085 * * [simplify]: Extracting #5: cost 3 inf + 4117 89.087 * * [simplify]: Extracting #6: cost 0 inf + 4586 89.089 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 89.089 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 89.089 * * * * [progress]: [ 81 / 89 ] simplifiying candidate # 89.090 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 89.090 * * [simplify]: iters left: 6 (10 enodes) 89.096 * * [simplify]: iters left: 5 (43 enodes) 89.111 * * [simplify]: iters left: 4 (79 enodes) 89.129 * * [simplify]: iters left: 3 (118 enodes) 89.146 * * [simplify]: iters left: 2 (171 enodes) 89.193 * * [simplify]: iters left: 1 (242 enodes) 89.275 * * [simplify]: Extracting #0: cost 1 inf + 0 89.275 * * [simplify]: Extracting #1: cost 6 inf + 0 89.275 * * [simplify]: Extracting #2: cost 41 inf + 0 89.276 * * [simplify]: Extracting #3: cost 56 inf + 213 89.278 * * [simplify]: Extracting #4: cost 20 inf + 2732 89.280 * * [simplify]: Extracting #5: cost 1 inf + 4576 89.282 * * [simplify]: Extracting #6: cost 0 inf + 4698 89.284 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 89.284 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 89.284 * * * * [progress]: [ 82 / 89 ] simplifiying candidate # 89.284 * [simplify]: Simplifying (* -1 U) 89.284 * * [simplify]: iters left: 2 (3 enodes) 89.286 * * [simplify]: iters left: 1 (11 enodes) 89.287 * * [simplify]: Extracting #0: cost 1 inf + 0 89.287 * * [simplify]: Extracting #1: cost 4 inf + 0 89.287 * * [simplify]: Extracting #2: cost 0 inf + 84 89.287 * [simplify]: Simplified to (- U) 89.287 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 89.287 * * * * [progress]: [ 83 / 89 ] simplifiying candidate # 89.288 * [simplify]: Simplifying (* -1 U) 89.288 * * [simplify]: iters left: 2 (3 enodes) 89.289 * * [simplify]: iters left: 1 (11 enodes) 89.290 * * [simplify]: Extracting #0: cost 1 inf + 0 89.290 * * [simplify]: Extracting #1: cost 4 inf + 0 89.290 * * [simplify]: Extracting #2: cost 0 inf + 84 89.290 * [simplify]: Simplified to (- U) 89.290 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 89.290 * * * * [progress]: [ 84 / 89 ] simplifiying candidate # 89.291 * [simplify]: Simplifying (pow J 1/3) 89.291 * * [simplify]: iters left: 1 (3 enodes) 89.292 * * [simplify]: Extracting #0: cost 1 inf + 0 89.292 * * [simplify]: Extracting #1: cost 5 inf + 0 89.292 * * [simplify]: Extracting #2: cost 4 inf + 2 89.292 * * [simplify]: Extracting #3: cost 0 inf + 377 89.292 * [simplify]: Simplified to (cbrt J) 89.292 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 89.292 * * * * [progress]: [ 85 / 89 ] simplifiying candidate # 89.292 * [simplify]: Simplifying (pow (/ 1 J) -1/3) 89.292 * * [simplify]: iters left: 3 (5 enodes) 89.294 * * [simplify]: iters left: 2 (22 enodes) 89.299 * * [simplify]: iters left: 1 (38 enodes) 89.308 * * [simplify]: Extracting #0: cost 1 inf + 0 89.308 * * [simplify]: Extracting #1: cost 9 inf + 0 89.308 * * [simplify]: Extracting #2: cost 16 inf + 1 89.308 * * [simplify]: Extracting #3: cost 13 inf + 5 89.308 * * [simplify]: Extracting #4: cost 6 inf + 1102 89.308 * * [simplify]: Extracting #5: cost 0 inf + 3162 89.308 * [simplify]: Simplified to (pow (/ 1 J) -1/3) 89.308 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (pow (/ 1 J) -1/3)))) 89.309 * * * * [progress]: [ 86 / 89 ] simplifiying candidate # 89.309 * [simplify]: Simplifying (* (pow (* J -1) 1/3) (cbrt -1)) 89.309 * * [simplify]: iters left: 5 (7 enodes) 89.312 * * [simplify]: iters left: 4 (29 enodes) 89.323 * * [simplify]: iters left: 3 (48 enodes) 89.343 * * [simplify]: iters left: 2 (90 enodes) 89.368 * * [simplify]: iters left: 1 (181 enodes) 89.432 * * [simplify]: Extracting #0: cost 1 inf + 0 89.432 * * [simplify]: Extracting #1: cost 23 inf + 0 89.433 * * [simplify]: Extracting #2: cost 77 inf + 0 89.433 * * [simplify]: Extracting #3: cost 73 inf + 8 89.434 * * [simplify]: Extracting #4: cost 69 inf + 92 89.437 * * [simplify]: Extracting #5: cost 18 inf + 24534 89.443 * * [simplify]: Extracting #6: cost 0 inf + 34495 89.450 * * [simplify]: Extracting #7: cost 0 inf + 34324 89.453 * [simplify]: Simplified to (* (cbrt (- J)) (cbrt -1)) 89.453 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cbrt (- J)) (cbrt -1))))) 89.453 * * * * [progress]: [ 87 / 89 ] simplifiying candidate # 89.453 * [simplify]: Simplifying (pow J 1/3) 89.453 * * [simplify]: iters left: 1 (3 enodes) 89.455 * * [simplify]: Extracting #0: cost 1 inf + 0 89.455 * * [simplify]: Extracting #1: cost 5 inf + 0 89.455 * * [simplify]: Extracting #2: cost 4 inf + 2 89.455 * * [simplify]: Extracting #3: cost 0 inf + 377 89.455 * [simplify]: Simplified to (cbrt J) 89.455 * [simplify]: Simplified (2 2 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 89.455 * * * * [progress]: [ 88 / 89 ] simplifiying candidate # 89.455 * [simplify]: Simplifying (pow (/ 1 J) -1/3) 89.455 * * [simplify]: iters left: 3 (5 enodes) 89.458 * * [simplify]: iters left: 2 (22 enodes) 89.463 * * [simplify]: iters left: 1 (38 enodes) 89.472 * * [simplify]: Extracting #0: cost 1 inf + 0 89.472 * * [simplify]: Extracting #1: cost 9 inf + 0 89.472 * * [simplify]: Extracting #2: cost 16 inf + 1 89.473 * * [simplify]: Extracting #3: cost 13 inf + 5 89.473 * * [simplify]: Extracting #4: cost 6 inf + 1102 89.473 * * [simplify]: Extracting #5: cost 0 inf + 3162 89.473 * [simplify]: Simplified to (pow (/ 1 J) -1/3) 89.473 * [simplify]: Simplified (2 2 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (pow (/ 1 J) -1/3))) (cbrt J)))) 89.473 * * * * [progress]: [ 89 / 89 ] simplifiying candidate # 89.474 * [simplify]: Simplifying (* (pow (* J -1) 1/3) (cbrt -1)) 89.474 * * [simplify]: iters left: 5 (7 enodes) 89.477 * * [simplify]: iters left: 4 (29 enodes) 89.491 * * [simplify]: iters left: 3 (48 enodes) 89.509 * * [simplify]: iters left: 2 (90 enodes) 89.543 * * [simplify]: iters left: 1 (181 enodes) 89.595 * * [simplify]: Extracting #0: cost 1 inf + 0 89.596 * * [simplify]: Extracting #1: cost 23 inf + 0 89.596 * * [simplify]: Extracting #2: cost 77 inf + 0 89.596 * * [simplify]: Extracting #3: cost 73 inf + 8 89.596 * * [simplify]: Extracting #4: cost 69 inf + 92 89.601 * * [simplify]: Extracting #5: cost 18 inf + 24534 89.608 * * [simplify]: Extracting #6: cost 0 inf + 34495 89.614 * * [simplify]: Extracting #7: cost 0 inf + 34324 89.620 * [simplify]: Simplified to (* (cbrt (- J)) (cbrt -1)) 89.620 * [simplify]: Simplified (2 2 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt (- J)) (cbrt -1)))) (cbrt J)))) 89.621 * * * [progress]: adding candidates to table 91.044 * [progress]: [Phase 3 of 3] Extracting. 91.044 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 91.050 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 91.050 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # # #) 91.167 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # # #) 91.288 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # # #) 91.348 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # # #) 91.438 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # # #) 91.540 * * * [regime]: Found split indices: #