0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.149 * [progress]: [Phase 2 of 3] Improving. 0.149 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.150 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.150 * * [simplify]: iters left: 6 (17 enodes) 0.155 * * [simplify]: iters left: 5 (70 enodes) 0.175 * * [simplify]: iters left: 4 (126 enodes) 0.225 * * [simplify]: iters left: 3 (281 enodes) 0.337 * * [simplify]: Extracting #0: cost 1 inf + 0 0.337 * * [simplify]: Extracting #1: cost 16 inf + 0 0.338 * * [simplify]: Extracting #2: cost 28 inf + 2 0.338 * * [simplify]: Extracting #3: cost 32 inf + 86 0.338 * * [simplify]: Extracting #4: cost 96 inf + 131 0.340 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.349 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.360 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.371 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.385 * * [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))) 0.410 * * [progress]: iteration 1 / 4 0.410 * * * [progress]: picking best candidate 0.413 * * * * [pick]: Picked # 0.413 * * * [progress]: localizing error 0.464 * * * [progress]: generating rewritten candidates 0.464 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.658 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.151 * * * [progress]: generating series expansions 1.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.152 * [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)) 1.152 * [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 1.152 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.152 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.152 * [taylor]: Taking taylor expansion of 1/4 in J 1.152 * [backup-simplify]: Simplify 1/4 into 1/4 1.152 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.152 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.152 * [taylor]: Taking taylor expansion of U in J 1.152 * [backup-simplify]: Simplify U into U 1.152 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.152 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.152 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.152 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.152 * [taylor]: Taking taylor expansion of 1/2 in J 1.152 * [backup-simplify]: Simplify 1/2 into 1/2 1.152 * [taylor]: Taking taylor expansion of K in J 1.152 * [backup-simplify]: Simplify K into K 1.152 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.152 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.153 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.153 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.153 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.154 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.154 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.154 * [taylor]: Taking taylor expansion of J in J 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.154 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.154 * [backup-simplify]: Simplify (* 1 1) into 1 1.155 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.155 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.155 * [taylor]: Taking taylor expansion of 1 in J 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [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))) 1.155 * [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))) 1.156 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.156 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.157 * [backup-simplify]: Simplify (+ 0) into 0 1.158 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.160 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.161 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.162 * [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 1.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.163 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.163 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.163 * [taylor]: Taking taylor expansion of 1/4 in K 1.163 * [backup-simplify]: Simplify 1/4 into 1/4 1.163 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.163 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.163 * [taylor]: Taking taylor expansion of U in K 1.163 * [backup-simplify]: Simplify U into U 1.163 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.163 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.163 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.163 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.163 * [taylor]: Taking taylor expansion of 1/2 in K 1.163 * [backup-simplify]: Simplify 1/2 into 1/2 1.163 * [taylor]: Taking taylor expansion of K in K 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.165 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.165 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.165 * [taylor]: Taking taylor expansion of J in K 1.165 * [backup-simplify]: Simplify J into J 1.165 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.165 * [backup-simplify]: Simplify (* 1 1) into 1 1.165 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.165 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.165 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.165 * [taylor]: Taking taylor expansion of 1 in K 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.166 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.166 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.166 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.166 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.167 * [backup-simplify]: Simplify (+ 0) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.168 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.170 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.170 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.170 * [taylor]: Taking taylor expansion of 1/4 in U 1.170 * [backup-simplify]: Simplify 1/4 into 1/4 1.170 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.170 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.170 * [taylor]: Taking taylor expansion of U in U 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.170 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.170 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.170 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.170 * [taylor]: Taking taylor expansion of 1/2 in U 1.170 * [backup-simplify]: Simplify 1/2 into 1/2 1.170 * [taylor]: Taking taylor expansion of K in U 1.170 * [backup-simplify]: Simplify K into K 1.170 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.170 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.170 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.170 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.170 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.171 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.171 * [taylor]: Taking taylor expansion of J in U 1.171 * [backup-simplify]: Simplify J into J 1.172 * [backup-simplify]: Simplify (* 1 1) into 1 1.172 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.172 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.172 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.172 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.172 * [taylor]: Taking taylor expansion of 1 in U 1.172 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (+ 0 1) into 1 1.173 * [backup-simplify]: Simplify (sqrt 1) into 1 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.174 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.174 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.174 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.174 * [taylor]: Taking taylor expansion of 1/4 in U 1.174 * [backup-simplify]: Simplify 1/4 into 1/4 1.174 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.174 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.174 * [taylor]: Taking taylor expansion of U in U 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.174 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.175 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.175 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.175 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.175 * [taylor]: Taking taylor expansion of 1/2 in U 1.175 * [backup-simplify]: Simplify 1/2 into 1/2 1.175 * [taylor]: Taking taylor expansion of K in U 1.175 * [backup-simplify]: Simplify K into K 1.175 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.175 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.175 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.175 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.175 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.175 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.176 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.176 * [taylor]: Taking taylor expansion of J in U 1.176 * [backup-simplify]: Simplify J into J 1.176 * [backup-simplify]: Simplify (* 1 1) into 1 1.176 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.176 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.176 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.177 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.177 * [taylor]: Taking taylor expansion of 1 in U 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [backup-simplify]: Simplify (+ 0 1) into 1 1.177 * [backup-simplify]: Simplify (sqrt 1) into 1 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.179 * [taylor]: Taking taylor expansion of 1 in K 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of 1 in J 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of 0 in K 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [taylor]: Taking taylor expansion of 0 in J 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [taylor]: Taking taylor expansion of 0 in J 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [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))) 1.180 * [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)))) 1.181 * [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))) 1.181 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.181 * [taylor]: Taking taylor expansion of 1/8 in K 1.181 * [backup-simplify]: Simplify 1/8 into 1/8 1.181 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 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 0) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.183 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.183 * [taylor]: Taking taylor expansion of J in K 1.183 * [backup-simplify]: Simplify J into J 1.183 * [backup-simplify]: Simplify (* 1 1) into 1 1.183 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.184 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.184 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.184 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.184 * [taylor]: Taking taylor expansion of 1/8 in J 1.184 * [backup-simplify]: Simplify 1/8 into 1/8 1.184 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.184 * [taylor]: Taking taylor expansion of J in J 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (* 1 1) into 1 1.185 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [taylor]: Taking taylor expansion of 0 in J 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [taylor]: Taking taylor expansion of 0 in J 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.187 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.188 * [backup-simplify]: Simplify (+ 0) into 0 1.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.190 * [backup-simplify]: Simplify (- 0) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.191 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.191 * [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 1.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.193 * [taylor]: Taking taylor expansion of 0 in K 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [taylor]: Taking taylor expansion of 0 in J 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.194 * [backup-simplify]: Simplify (+ 0) into 0 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.195 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.195 * [taylor]: Taking taylor expansion of 0 in J 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [taylor]: Taking taylor expansion of 0 in J 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [taylor]: Taking taylor expansion of 0 in J 1.196 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [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)) 1.198 * [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 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.198 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.199 * [taylor]: Taking taylor expansion of 1/4 in J 1.199 * [backup-simplify]: Simplify 1/4 into 1/4 1.199 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.199 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.199 * [taylor]: Taking taylor expansion of J in J 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.199 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.199 * [taylor]: Taking taylor expansion of U in J 1.199 * [backup-simplify]: Simplify U into U 1.199 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.199 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.199 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.199 * [taylor]: Taking taylor expansion of 1/2 in J 1.199 * [backup-simplify]: Simplify 1/2 into 1/2 1.199 * [taylor]: Taking taylor expansion of K in J 1.199 * [backup-simplify]: Simplify K into K 1.199 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.199 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.199 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.199 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.199 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.200 * [backup-simplify]: Simplify (* 1 1) into 1 1.200 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.201 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.201 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.201 * [taylor]: Taking taylor expansion of 1 in J 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (+ 0 1) into 1 1.202 * [backup-simplify]: Simplify (sqrt 1) into 1 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.203 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.203 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.203 * [taylor]: Taking taylor expansion of 1/4 in K 1.203 * [backup-simplify]: Simplify 1/4 into 1/4 1.203 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.203 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.203 * [taylor]: Taking taylor expansion of J in K 1.203 * [backup-simplify]: Simplify J into J 1.203 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.203 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.203 * [taylor]: Taking taylor expansion of U in K 1.203 * [backup-simplify]: Simplify U into U 1.203 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.203 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.203 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.203 * [taylor]: Taking taylor expansion of 1/2 in K 1.203 * [backup-simplify]: Simplify 1/2 into 1/2 1.203 * [taylor]: Taking taylor expansion of K in K 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.204 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.204 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.204 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.204 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.204 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.205 * [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))) 1.205 * [taylor]: Taking taylor expansion of 1 in K 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [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)))) 1.205 * [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) 1.206 * [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)) 1.206 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.206 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.206 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.206 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.207 * [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 1.208 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.209 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.209 * [taylor]: Taking taylor expansion of 1/4 in U 1.209 * [backup-simplify]: Simplify 1/4 into 1/4 1.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.209 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.209 * [taylor]: Taking taylor expansion of J in U 1.209 * [backup-simplify]: Simplify J into J 1.209 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.209 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.209 * [taylor]: Taking taylor expansion of U in U 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.209 * [taylor]: Taking taylor expansion of 1/2 in U 1.209 * [backup-simplify]: Simplify 1/2 into 1/2 1.209 * [taylor]: Taking taylor expansion of K in U 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 * [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 1.210 * [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 (* J J) into (pow J 2) 1.210 * [backup-simplify]: Simplify (* 1 1) into 1 1.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.211 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.211 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.211 * [taylor]: Taking taylor expansion of 1 in U 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [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))) 1.211 * [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))) 1.212 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.212 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.212 * [backup-simplify]: Simplify (+ 0) into 0 1.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.213 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.214 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.217 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.218 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.219 * [taylor]: Taking taylor expansion of 1/4 in U 1.219 * [backup-simplify]: Simplify 1/4 into 1/4 1.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.219 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.219 * [taylor]: Taking taylor expansion of J in U 1.219 * [backup-simplify]: Simplify J into J 1.219 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.219 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.219 * [taylor]: Taking taylor expansion of U in U 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.219 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.219 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.219 * [taylor]: Taking taylor expansion of 1/2 in U 1.219 * [backup-simplify]: Simplify 1/2 into 1/2 1.219 * [taylor]: Taking taylor expansion of K in U 1.219 * [backup-simplify]: Simplify K into K 1.219 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.219 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.220 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.220 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.220 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.221 * [backup-simplify]: Simplify (* 1 1) into 1 1.221 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.221 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.221 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.221 * [taylor]: Taking taylor expansion of 1 in U 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [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))) 1.222 * [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))) 1.222 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.222 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.222 * [backup-simplify]: Simplify (+ 0) into 0 1.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.225 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.227 * [backup-simplify]: 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 1.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.228 * [taylor]: Taking taylor expansion of 1/2 in K 1.228 * [backup-simplify]: Simplify 1/2 into 1/2 1.228 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.228 * [taylor]: Taking taylor expansion of J in K 1.228 * [backup-simplify]: Simplify J into J 1.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.228 * [taylor]: Taking taylor expansion of 1/2 in K 1.228 * [backup-simplify]: Simplify 1/2 into 1/2 1.228 * [taylor]: Taking taylor expansion of K in K 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.229 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.229 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.229 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.229 * [taylor]: Taking taylor expansion of 1/2 in J 1.229 * [backup-simplify]: Simplify 1/2 into 1/2 1.229 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.229 * [taylor]: Taking taylor expansion of J in J 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.229 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.229 * [taylor]: Taking taylor expansion of 1/2 in J 1.229 * [backup-simplify]: Simplify 1/2 into 1/2 1.230 * [taylor]: Taking taylor expansion of K in J 1.230 * [backup-simplify]: Simplify K into K 1.230 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.230 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.230 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.230 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.230 * [backup-simplify]: Simplify (- 0) into 0 1.230 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.231 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.231 * [taylor]: Taking taylor expansion of 0 in K 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [taylor]: Taking taylor expansion of 0 in J 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.232 * [taylor]: Taking taylor expansion of 0 in J 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.232 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.232 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.235 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.236 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 1) into 1 1.239 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.239 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.239 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.239 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.239 * [taylor]: Taking taylor expansion of 1/2 in K 1.239 * [backup-simplify]: Simplify 1/2 into 1/2 1.240 * [taylor]: Taking taylor expansion of K in K 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.240 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.240 * [taylor]: Taking taylor expansion of J in K 1.240 * [backup-simplify]: Simplify J into J 1.240 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.240 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.240 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.240 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.240 * [taylor]: Taking taylor expansion of 1/2 in J 1.240 * [backup-simplify]: Simplify 1/2 into 1/2 1.240 * [taylor]: Taking taylor expansion of K in J 1.240 * [backup-simplify]: Simplify K into K 1.240 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.240 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.240 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.240 * [taylor]: Taking taylor expansion of J in J 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.240 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.241 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.241 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.241 * [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 1.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in J 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [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 1.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.244 * [taylor]: Taking taylor expansion of 0 in J 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (+ 0) into 0 1.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.245 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.246 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [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))) 1.247 * [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)))))) 1.247 * [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 1.247 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.247 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.247 * [taylor]: Taking taylor expansion of 1 in J 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.247 * [taylor]: Taking taylor expansion of 1/4 in J 1.247 * [backup-simplify]: Simplify 1/4 into 1/4 1.247 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.247 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.247 * [taylor]: Taking taylor expansion of J in J 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.247 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.247 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.247 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.247 * [taylor]: Taking taylor expansion of -1/2 in J 1.248 * [backup-simplify]: Simplify -1/2 into -1/2 1.248 * [taylor]: Taking taylor expansion of K in J 1.248 * [backup-simplify]: Simplify K into K 1.248 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.248 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.248 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.248 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.248 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.248 * [backup-simplify]: Simplify (- 0) into 0 1.248 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.248 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.248 * [taylor]: Taking taylor expansion of U in J 1.248 * [backup-simplify]: Simplify U into U 1.248 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.249 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.249 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.249 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.249 * [backup-simplify]: Simplify (+ 1 0) into 1 1.249 * [backup-simplify]: Simplify (sqrt 1) into 1 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.250 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.250 * [taylor]: Taking taylor expansion of 1 in K 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.250 * [taylor]: Taking taylor expansion of 1/4 in K 1.250 * [backup-simplify]: Simplify 1/4 into 1/4 1.250 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.250 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.250 * [taylor]: Taking taylor expansion of J in K 1.250 * [backup-simplify]: Simplify J into J 1.250 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.250 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.250 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.250 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.250 * [taylor]: Taking taylor expansion of -1/2 in K 1.250 * [backup-simplify]: Simplify -1/2 into -1/2 1.250 * [taylor]: Taking taylor expansion of K in K 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.251 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.251 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.251 * [taylor]: Taking taylor expansion of U in K 1.251 * [backup-simplify]: Simplify U into U 1.251 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.251 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.251 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.251 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.251 * [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))) 1.251 * [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)))) 1.252 * [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))))) 1.252 * [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)))))) 1.252 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.252 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.252 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.252 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.252 * [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 1.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.254 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.254 * [taylor]: Taking taylor expansion of 1 in U 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.254 * [taylor]: Taking taylor expansion of 1/4 in U 1.254 * [backup-simplify]: Simplify 1/4 into 1/4 1.254 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.254 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.254 * [taylor]: Taking taylor expansion of J in U 1.254 * [backup-simplify]: Simplify J into J 1.254 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.254 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.254 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.254 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.254 * [taylor]: Taking taylor expansion of -1/2 in U 1.254 * [backup-simplify]: Simplify -1/2 into -1/2 1.254 * [taylor]: Taking taylor expansion of K in U 1.254 * [backup-simplify]: Simplify K into K 1.254 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.254 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.254 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.254 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.254 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.254 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.254 * [taylor]: Taking taylor expansion of U in U 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.255 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.255 * [backup-simplify]: Simplify (* 1 1) into 1 1.255 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.255 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.255 * [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))) 1.255 * [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))) 1.255 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.255 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (+ 0) into 0 1.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.257 * [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 1.258 * [backup-simplify]: Simplify (- 0) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.258 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.258 * [backup-simplify]: 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 1.259 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.259 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.259 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.259 * [taylor]: Taking taylor expansion of 1 in U 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.259 * [taylor]: Taking taylor expansion of 1/4 in U 1.259 * [backup-simplify]: Simplify 1/4 into 1/4 1.259 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.259 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.259 * [taylor]: Taking taylor expansion of J in U 1.259 * [backup-simplify]: Simplify J into J 1.259 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.259 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.259 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.259 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.259 * [taylor]: Taking taylor expansion of -1/2 in U 1.259 * [backup-simplify]: Simplify -1/2 into -1/2 1.260 * [taylor]: Taking taylor expansion of K in U 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 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.260 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.260 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.260 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.260 * [taylor]: Taking taylor expansion of U in U 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.260 * [backup-simplify]: Simplify (* 1 1) into 1 1.261 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.261 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.261 * [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))) 1.261 * [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))) 1.261 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.261 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.262 * [backup-simplify]: Simplify (+ 0) into 0 1.262 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.263 * [backup-simplify]: Simplify (- 0) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.264 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.264 * [backup-simplify]: 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 1.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.265 * [taylor]: Taking taylor expansion of 1/2 in K 1.265 * [backup-simplify]: Simplify 1/2 into 1/2 1.265 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.265 * [taylor]: Taking taylor expansion of J in K 1.265 * [backup-simplify]: Simplify J into J 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.265 * [taylor]: Taking taylor expansion of -1/2 in K 1.265 * [backup-simplify]: Simplify -1/2 into -1/2 1.265 * [taylor]: Taking taylor expansion of K in K 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.266 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.266 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.266 * [taylor]: Taking taylor expansion of 1/2 in J 1.266 * [backup-simplify]: Simplify 1/2 into 1/2 1.266 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.266 * [taylor]: Taking taylor expansion of J in J 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.266 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.266 * [taylor]: Taking taylor expansion of -1/2 in J 1.266 * [backup-simplify]: Simplify -1/2 into -1/2 1.266 * [taylor]: Taking taylor expansion of K in J 1.266 * [backup-simplify]: Simplify K into K 1.266 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.266 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.266 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.266 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.267 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.267 * [taylor]: Taking taylor expansion of 0 in K 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in J 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.267 * [taylor]: Taking taylor expansion of 0 in J 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.268 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.268 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.274 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.275 * [backup-simplify]: 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 1.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.280 * [backup-simplify]: Simplify (+ 1 0) into 1 1.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.281 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.281 * [taylor]: Taking taylor expansion of -1/2 in K 1.281 * [backup-simplify]: Simplify -1/2 into -1/2 1.281 * [taylor]: Taking taylor expansion of K in K 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.282 * [taylor]: Taking taylor expansion of J in K 1.282 * [backup-simplify]: Simplify J into J 1.282 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.282 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.282 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.282 * [taylor]: Taking taylor expansion of -1/2 in J 1.282 * [backup-simplify]: Simplify -1/2 into -1/2 1.282 * [taylor]: Taking taylor expansion of K in J 1.282 * [backup-simplify]: Simplify K into K 1.282 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.282 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.282 * [taylor]: Taking taylor expansion of J in J 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.282 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.283 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.283 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.283 * [backup-simplify]: Simplify (+ 0) into 0 1.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.286 * [backup-simplify]: Simplify (- 0) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [taylor]: Taking taylor expansion of 0 in J 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [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 1.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.289 * [taylor]: Taking taylor expansion of 0 in J 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify (+ 0) into 0 1.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.290 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [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))) 1.294 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.294 * [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)))) 1.294 * [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 1.294 * [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 1.294 * [taylor]: Taking taylor expansion of -2 in J 1.294 * [backup-simplify]: Simplify -2 into -2 1.294 * [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 1.294 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.294 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.295 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.295 * [taylor]: Taking taylor expansion of 1/2 in J 1.295 * [backup-simplify]: Simplify 1/2 into 1/2 1.295 * [taylor]: Taking taylor expansion of K in J 1.295 * [backup-simplify]: Simplify K into K 1.295 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.295 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.295 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.295 * [taylor]: Taking taylor expansion of J in J 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.295 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.295 * [taylor]: Taking taylor expansion of 1/4 in J 1.295 * [backup-simplify]: Simplify 1/4 into 1/4 1.295 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.295 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.295 * [taylor]: Taking taylor expansion of U in J 1.295 * [backup-simplify]: Simplify U into U 1.295 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.295 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.295 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.295 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.295 * [taylor]: Taking taylor expansion of 1/2 in J 1.295 * [backup-simplify]: Simplify 1/2 into 1/2 1.295 * [taylor]: Taking taylor expansion of K in J 1.295 * [backup-simplify]: Simplify K into K 1.295 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.296 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.296 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.296 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.296 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.296 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.296 * [taylor]: Taking taylor expansion of J in J 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.297 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.297 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.297 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.297 * [taylor]: Taking taylor expansion of 1 in J 1.297 * [backup-simplify]: Simplify 1 into 1 1.298 * [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))) 1.298 * [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))) 1.298 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.298 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.299 * [backup-simplify]: Simplify (+ 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.303 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.303 * [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 1.304 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.304 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.305 * [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 1.305 * [taylor]: Taking taylor expansion of -2 in K 1.305 * [backup-simplify]: Simplify -2 into -2 1.305 * [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 1.305 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.305 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.305 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.305 * [taylor]: Taking taylor expansion of 1/2 in K 1.305 * [backup-simplify]: Simplify 1/2 into 1/2 1.305 * [taylor]: Taking taylor expansion of K in K 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.306 * [taylor]: Taking taylor expansion of J in K 1.306 * [backup-simplify]: Simplify J into J 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.306 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.307 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.307 * [taylor]: Taking taylor expansion of 1/4 in K 1.307 * [backup-simplify]: Simplify 1/4 into 1/4 1.307 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.307 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.307 * [taylor]: Taking taylor expansion of U in K 1.307 * [backup-simplify]: Simplify U into U 1.307 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.307 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.307 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.307 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.307 * [taylor]: Taking taylor expansion of 1/2 in K 1.307 * [backup-simplify]: Simplify 1/2 into 1/2 1.307 * [taylor]: Taking taylor expansion of K in K 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.308 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.308 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.308 * [taylor]: Taking taylor expansion of J in K 1.309 * [backup-simplify]: Simplify J into J 1.309 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.309 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.309 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.309 * [taylor]: Taking taylor expansion of 1 in K 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.310 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.310 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.310 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.310 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.311 * [backup-simplify]: Simplify (+ 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.312 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.314 * [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 1.314 * [taylor]: Taking taylor expansion of -2 in U 1.314 * [backup-simplify]: Simplify -2 into -2 1.314 * [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 1.314 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.314 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.314 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.314 * [taylor]: Taking taylor expansion of 1/2 in U 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of K in U 1.314 * [backup-simplify]: Simplify K into K 1.314 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.314 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.314 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.314 * [taylor]: Taking taylor expansion of J in U 1.314 * [backup-simplify]: Simplify J into J 1.315 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.315 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.315 * [taylor]: Taking taylor expansion of 1/4 in U 1.315 * [backup-simplify]: Simplify 1/4 into 1/4 1.315 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.315 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.315 * [taylor]: Taking taylor expansion of U in U 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.315 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.315 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.315 * [taylor]: Taking taylor expansion of 1/2 in U 1.315 * [backup-simplify]: Simplify 1/2 into 1/2 1.315 * [taylor]: Taking taylor expansion of K in U 1.315 * [backup-simplify]: Simplify K into K 1.315 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.315 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.315 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.315 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.315 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.316 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.316 * [taylor]: Taking taylor expansion of J in U 1.316 * [backup-simplify]: Simplify J into J 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.317 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.317 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.317 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.317 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.317 * [taylor]: Taking taylor expansion of 1 in U 1.317 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (+ 0 1) into 1 1.318 * [backup-simplify]: Simplify (sqrt 1) into 1 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.319 * [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 1.319 * [taylor]: Taking taylor expansion of -2 in U 1.319 * [backup-simplify]: Simplify -2 into -2 1.320 * [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 1.320 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.320 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.320 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.320 * [taylor]: Taking taylor expansion of 1/2 in U 1.320 * [backup-simplify]: Simplify 1/2 into 1/2 1.320 * [taylor]: Taking taylor expansion of K in U 1.320 * [backup-simplify]: Simplify K into K 1.320 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.320 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.320 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.320 * [taylor]: Taking taylor expansion of J in U 1.320 * [backup-simplify]: Simplify J into J 1.320 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.320 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.320 * [taylor]: Taking taylor expansion of 1/4 in U 1.320 * [backup-simplify]: Simplify 1/4 into 1/4 1.320 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.320 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.320 * [taylor]: Taking taylor expansion of U in U 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.320 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.320 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.320 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.320 * [taylor]: Taking taylor expansion of 1/2 in U 1.320 * [backup-simplify]: Simplify 1/2 into 1/2 1.320 * [taylor]: Taking taylor expansion of K in U 1.320 * [backup-simplify]: Simplify K into K 1.321 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.321 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.321 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.321 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.321 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.321 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.321 * [taylor]: Taking taylor expansion of J in U 1.321 * [backup-simplify]: Simplify J into J 1.322 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.322 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.322 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.322 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.323 * [taylor]: Taking taylor expansion of 1 in U 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (+ 0 1) into 1 1.323 * [backup-simplify]: Simplify (sqrt 1) into 1 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.325 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.325 * [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 (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.325 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.326 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.326 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.326 * [taylor]: Taking taylor expansion of -2 in K 1.326 * [backup-simplify]: Simplify -2 into -2 1.326 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.326 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.326 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.326 * [taylor]: Taking taylor expansion of 1/2 in K 1.326 * [backup-simplify]: Simplify 1/2 into 1/2 1.326 * [taylor]: Taking taylor expansion of K in K 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.327 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.327 * [taylor]: Taking taylor expansion of J in K 1.327 * [backup-simplify]: Simplify J into J 1.327 * [backup-simplify]: Simplify (* 1 J) into J 1.327 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.327 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.327 * [taylor]: Taking taylor expansion of -2 in J 1.327 * [backup-simplify]: Simplify -2 into -2 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 1.328 * [backup-simplify]: Simplify (+ 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.330 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.330 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.331 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.332 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.332 * [taylor]: Taking taylor expansion of 0 in K 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [taylor]: Taking taylor expansion of 0 in J 1.332 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (+ 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.334 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.334 * [taylor]: Taking taylor expansion of 0 in J 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (* -2 0) into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [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))) 1.335 * [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)))) 1.336 * [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))) 1.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.338 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.339 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.340 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.340 * [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 0) (* 0 J))) into 0 1.342 * [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))) 1.343 * [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)))) 1.343 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.343 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.343 * [taylor]: Taking taylor expansion of 1/4 in K 1.343 * [backup-simplify]: Simplify 1/4 into 1/4 1.343 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.343 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.343 * [taylor]: Taking taylor expansion of 1/2 in K 1.343 * [backup-simplify]: Simplify 1/2 into 1/2 1.343 * [taylor]: Taking taylor expansion of K in K 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.344 * [taylor]: Taking taylor expansion of J in K 1.344 * [backup-simplify]: Simplify J into J 1.344 * [backup-simplify]: Simplify (* 1 J) into J 1.344 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.345 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.345 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.345 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.345 * [taylor]: Taking taylor expansion of 1/4 in J 1.345 * [backup-simplify]: Simplify 1/4 into 1/4 1.345 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.345 * [taylor]: Taking taylor expansion of J in J 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [backup-simplify]: Simplify (/ 1 1) into 1 1.346 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.346 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.346 * [backup-simplify]: Simplify -1/4 into -1/4 1.346 * [taylor]: Taking taylor expansion of 0 in J 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.349 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.349 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.349 * [taylor]: Taking taylor expansion of 1/4 in J 1.349 * [backup-simplify]: Simplify 1/4 into 1/4 1.349 * [taylor]: Taking taylor expansion of J in J 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.350 * [backup-simplify]: Simplify -2 into -2 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.351 * [backup-simplify]: Simplify (+ 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.353 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.354 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.355 * [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 1.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.357 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.362 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.364 * [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 1.365 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.365 * [taylor]: Taking taylor expansion of 0 in K 1.365 * [backup-simplify]: Simplify 0 into 0 1.366 * [taylor]: Taking taylor expansion of 0 in J 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ 0) into 0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.368 * [backup-simplify]: Simplify (- 0) into 0 1.368 * [taylor]: Taking taylor expansion of 0 in J 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [taylor]: Taking taylor expansion of 0 in J 1.368 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.373 * [taylor]: Taking taylor expansion of 0 in J 1.373 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.378 * [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))) 1.378 * [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 1.378 * [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 1.378 * [taylor]: Taking taylor expansion of -2 in J 1.378 * [backup-simplify]: Simplify -2 into -2 1.378 * [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 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.378 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.378 * [taylor]: Taking taylor expansion of 1/4 in J 1.378 * [backup-simplify]: Simplify 1/4 into 1/4 1.378 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.378 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.379 * [taylor]: Taking taylor expansion of J in J 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.379 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.379 * [taylor]: Taking taylor expansion of U in J 1.379 * [backup-simplify]: Simplify U into U 1.379 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.379 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.379 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.379 * [taylor]: Taking taylor expansion of 1/2 in J 1.379 * [backup-simplify]: Simplify 1/2 into 1/2 1.379 * [taylor]: Taking taylor expansion of K in J 1.379 * [backup-simplify]: Simplify K into K 1.379 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.379 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.379 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.380 * [backup-simplify]: Simplify (* 1 1) into 1 1.380 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.381 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.381 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.381 * [taylor]: Taking taylor expansion of 1 in J 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (+ 0 1) into 1 1.382 * [backup-simplify]: Simplify (sqrt 1) into 1 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.383 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.383 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.383 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.383 * [taylor]: Taking taylor expansion of 1/2 in J 1.383 * [backup-simplify]: Simplify 1/2 into 1/2 1.383 * [taylor]: Taking taylor expansion of K in J 1.383 * [backup-simplify]: Simplify K into K 1.383 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.383 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.383 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.383 * [taylor]: Taking taylor expansion of J in J 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.384 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.384 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.384 * [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 1.384 * [taylor]: Taking taylor expansion of -2 in K 1.384 * [backup-simplify]: Simplify -2 into -2 1.384 * [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 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.384 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.384 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.384 * [taylor]: Taking taylor expansion of 1/4 in K 1.385 * [backup-simplify]: Simplify 1/4 into 1/4 1.385 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.385 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.385 * [taylor]: Taking taylor expansion of J in K 1.385 * [backup-simplify]: Simplify J into J 1.385 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.385 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.385 * [taylor]: Taking taylor expansion of U in K 1.385 * [backup-simplify]: Simplify U into U 1.385 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.385 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.385 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.385 * [taylor]: Taking taylor expansion of 1/2 in K 1.385 * [backup-simplify]: Simplify 1/2 into 1/2 1.385 * [taylor]: Taking taylor expansion of K in K 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.386 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.386 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.386 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.386 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.386 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.386 * [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))) 1.386 * [taylor]: Taking taylor expansion of 1 in K 1.386 * [backup-simplify]: Simplify 1 into 1 1.387 * [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)))) 1.387 * [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) 1.387 * [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)) 1.387 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.388 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.388 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.389 * [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 1.389 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 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 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.390 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.390 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.390 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.390 * [taylor]: Taking taylor expansion of 1/2 in K 1.390 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of K in K 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.391 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.391 * [taylor]: Taking taylor expansion of J in K 1.391 * [backup-simplify]: Simplify J into J 1.391 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.391 * [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 1.391 * [taylor]: Taking taylor expansion of -2 in U 1.391 * [backup-simplify]: Simplify -2 into -2 1.391 * [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 1.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.391 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.391 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.391 * [taylor]: Taking taylor expansion of 1/4 in U 1.391 * [backup-simplify]: Simplify 1/4 into 1/4 1.391 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.392 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.392 * [taylor]: Taking taylor expansion of J in U 1.392 * [backup-simplify]: Simplify J into J 1.392 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.392 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.392 * [taylor]: Taking taylor expansion of U in U 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.392 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.392 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.392 * [taylor]: Taking taylor expansion of 1/2 in U 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [taylor]: Taking taylor expansion of K in U 1.392 * [backup-simplify]: Simplify K into K 1.392 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.392 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.392 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.393 * [backup-simplify]: Simplify (- 0) into 0 1.393 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.393 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.393 * [backup-simplify]: Simplify (* 1 1) into 1 1.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.393 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.394 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.394 * [taylor]: Taking taylor expansion of 1 in U 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [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))) 1.394 * [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))) 1.394 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.395 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.395 * [backup-simplify]: Simplify (+ 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.398 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.402 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.402 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.402 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.402 * [taylor]: Taking taylor expansion of 1/2 in U 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of K in U 1.402 * [backup-simplify]: Simplify K into K 1.402 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.402 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.402 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.402 * [taylor]: Taking taylor expansion of J in U 1.402 * [backup-simplify]: Simplify J into J 1.403 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.403 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.403 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.403 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.403 * [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 1.403 * [taylor]: Taking taylor expansion of -2 in U 1.403 * [backup-simplify]: Simplify -2 into -2 1.403 * [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 1.403 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.403 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.404 * [taylor]: Taking taylor expansion of 1/4 in U 1.404 * [backup-simplify]: Simplify 1/4 into 1/4 1.404 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.404 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.404 * [taylor]: Taking taylor expansion of J in U 1.404 * [backup-simplify]: Simplify J into J 1.404 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.404 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.404 * [taylor]: Taking taylor expansion of U in U 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.404 * [taylor]: Taking taylor expansion of 1/2 in U 1.404 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [taylor]: Taking taylor expansion of K in U 1.404 * [backup-simplify]: Simplify K into K 1.404 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.404 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.405 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.406 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.406 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.406 * [taylor]: Taking taylor expansion of 1 in U 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [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))) 1.406 * [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))) 1.407 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.407 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.407 * [backup-simplify]: Simplify (+ 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.409 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.409 * [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 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.412 * [backup-simplify]: 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 1.412 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.413 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.413 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.413 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.413 * [taylor]: Taking taylor expansion of 1/2 in U 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of K in U 1.413 * [backup-simplify]: Simplify K into K 1.413 * [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 * [taylor]: Taking taylor expansion of J in U 1.413 * [backup-simplify]: Simplify J into J 1.413 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.414 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.414 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.414 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.414 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.415 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.415 * [taylor]: Taking taylor expansion of -1 in K 1.415 * [backup-simplify]: Simplify -1 into -1 1.415 * [taylor]: Taking taylor expansion of -1 in J 1.415 * [backup-simplify]: Simplify -1 into -1 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 (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.419 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.419 * [taylor]: Taking taylor expansion of 0 in K 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [taylor]: Taking taylor expansion of 0 in J 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [taylor]: Taking taylor expansion of 0 in J 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify -1 into -1 1.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.423 * [backup-simplify]: Simplify (- 0) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.424 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.428 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) 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 1.433 * [backup-simplify]: Simplify (+ 0 1) into 1 1.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.434 * [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)) 1.437 * [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)))) 1.437 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.438 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.438 * [taylor]: Taking taylor expansion of 2 in K 1.438 * [backup-simplify]: Simplify 2 into 2 1.438 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.438 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.438 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.438 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.438 * [taylor]: Taking taylor expansion of 1/2 in K 1.438 * [backup-simplify]: Simplify 1/2 into 1/2 1.438 * [taylor]: Taking taylor expansion of K in K 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.439 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.439 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.439 * [taylor]: Taking taylor expansion of J in K 1.439 * [backup-simplify]: Simplify J into J 1.439 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.439 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.439 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.439 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.440 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.440 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.440 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.440 * [taylor]: Taking taylor expansion of 2 in J 1.440 * [backup-simplify]: Simplify 2 into 2 1.440 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.440 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.440 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.440 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.440 * [taylor]: Taking taylor expansion of 1/2 in J 1.440 * [backup-simplify]: Simplify 1/2 into 1/2 1.440 * [taylor]: Taking taylor expansion of K in J 1.440 * [backup-simplify]: Simplify K into K 1.440 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.440 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.440 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.440 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.440 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.441 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.441 * [taylor]: Taking taylor expansion of J in J 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.442 * [backup-simplify]: Simplify (+ 0) into 0 1.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.445 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.448 * [backup-simplify]: Simplify (- 0) into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [taylor]: Taking taylor expansion of 0 in J 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [taylor]: Taking taylor expansion of 0 in J 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.453 * [backup-simplify]: Simplify (- 0) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.455 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.459 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.463 * [backup-simplify]: 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 1.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.465 * [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 1.466 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.466 * [taylor]: Taking taylor expansion of 0 in K 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [taylor]: Taking taylor expansion of 0 in J 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.467 * [taylor]: Taking taylor expansion of 0 in J 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [taylor]: Taking taylor expansion of 0 in J 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [taylor]: Taking taylor expansion of 0 in J 1.467 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.468 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.469 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.469 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.473 * [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)))))))) 1.473 * [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 1.473 * [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 1.473 * [taylor]: Taking taylor expansion of 2 in J 1.473 * [backup-simplify]: Simplify 2 into 2 1.473 * [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 1.473 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.473 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.473 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.473 * [taylor]: Taking taylor expansion of -1/2 in J 1.473 * [backup-simplify]: Simplify -1/2 into -1/2 1.473 * [taylor]: Taking taylor expansion of K in J 1.473 * [backup-simplify]: Simplify K into K 1.473 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.473 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.473 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.474 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.474 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.474 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.474 * [taylor]: Taking taylor expansion of 1 in J 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.474 * [taylor]: Taking taylor expansion of 1/4 in J 1.474 * [backup-simplify]: Simplify 1/4 into 1/4 1.474 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.474 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.474 * [taylor]: Taking taylor expansion of J in J 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.474 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.474 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.474 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.474 * [taylor]: Taking taylor expansion of -1/2 in J 1.474 * [backup-simplify]: Simplify -1/2 into -1/2 1.474 * [taylor]: Taking taylor expansion of K in J 1.474 * [backup-simplify]: Simplify K into K 1.474 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.474 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.474 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.474 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.474 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.475 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.475 * [taylor]: Taking taylor expansion of U in J 1.475 * [backup-simplify]: Simplify U into U 1.475 * [backup-simplify]: Simplify (* 1 1) into 1 1.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.475 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.475 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.475 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.475 * [backup-simplify]: Simplify (+ 1 0) into 1 1.476 * [backup-simplify]: Simplify (sqrt 1) into 1 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.476 * [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 1.476 * [taylor]: Taking taylor expansion of 2 in K 1.476 * [backup-simplify]: Simplify 2 into 2 1.476 * [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 1.476 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.476 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.477 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.477 * [taylor]: Taking taylor expansion of -1/2 in K 1.477 * [backup-simplify]: Simplify -1/2 into -1/2 1.477 * [taylor]: Taking taylor expansion of K in K 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.477 * [taylor]: Taking taylor expansion of J in K 1.477 * [backup-simplify]: Simplify J into J 1.477 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.477 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.477 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.477 * [taylor]: Taking taylor expansion of 1 in K 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.477 * [taylor]: Taking taylor expansion of 1/4 in K 1.477 * [backup-simplify]: Simplify 1/4 into 1/4 1.477 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.477 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.477 * [taylor]: Taking taylor expansion of J in K 1.477 * [backup-simplify]: Simplify J into J 1.477 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.477 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.477 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.477 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.477 * [taylor]: Taking taylor expansion of -1/2 in K 1.477 * [backup-simplify]: Simplify -1/2 into -1/2 1.477 * [taylor]: Taking taylor expansion of K in K 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.478 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.478 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.478 * [taylor]: Taking taylor expansion of U in K 1.478 * [backup-simplify]: Simplify U into U 1.478 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.478 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.478 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.478 * [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))) 1.478 * [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)))) 1.479 * [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))))) 1.479 * [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)))))) 1.479 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.479 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.480 * [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 1.480 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.481 * [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 1.481 * [taylor]: Taking taylor expansion of 2 in U 1.481 * [backup-simplify]: Simplify 2 into 2 1.481 * [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 1.481 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.481 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.481 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.481 * [taylor]: Taking taylor expansion of -1/2 in U 1.481 * [backup-simplify]: Simplify -1/2 into -1/2 1.481 * [taylor]: Taking taylor expansion of K in U 1.481 * [backup-simplify]: Simplify K into K 1.481 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.481 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.481 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.481 * [taylor]: Taking taylor expansion of J in U 1.481 * [backup-simplify]: Simplify J into J 1.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.481 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.481 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.482 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.482 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.482 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.482 * [taylor]: Taking taylor expansion of 1 in U 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.482 * [taylor]: Taking taylor expansion of 1/4 in U 1.482 * [backup-simplify]: Simplify 1/4 into 1/4 1.482 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.482 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.482 * [taylor]: Taking taylor expansion of J in U 1.482 * [backup-simplify]: Simplify J into J 1.482 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.482 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.482 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.482 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.482 * [taylor]: Taking taylor expansion of -1/2 in U 1.482 * [backup-simplify]: Simplify -1/2 into -1/2 1.482 * [taylor]: Taking taylor expansion of K in U 1.482 * [backup-simplify]: Simplify K into K 1.482 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.482 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.482 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.482 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.482 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.482 * [backup-simplify]: Simplify (- 0) into 0 1.482 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.482 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.482 * [taylor]: Taking taylor expansion of U in U 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.483 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.483 * [backup-simplify]: Simplify (* 1 1) into 1 1.483 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.483 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.483 * [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))) 1.483 * [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))) 1.483 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.484 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.484 * [backup-simplify]: Simplify (+ 0) into 0 1.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.485 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.487 * [backup-simplify]: 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 1.487 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.487 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.487 * [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 1.487 * [taylor]: Taking taylor expansion of 2 in U 1.487 * [backup-simplify]: Simplify 2 into 2 1.487 * [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 1.487 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.487 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.487 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.487 * [taylor]: Taking taylor expansion of -1/2 in U 1.487 * [backup-simplify]: Simplify -1/2 into -1/2 1.487 * [taylor]: Taking taylor expansion of K in U 1.487 * [backup-simplify]: Simplify K into K 1.488 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.488 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.488 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.488 * [taylor]: Taking taylor expansion of J in U 1.488 * [backup-simplify]: Simplify J into J 1.488 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.488 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.488 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.488 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.488 * [taylor]: Taking taylor expansion of 1 in U 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.489 * [taylor]: Taking taylor expansion of 1/4 in U 1.489 * [backup-simplify]: Simplify 1/4 into 1/4 1.489 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.489 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.489 * [taylor]: Taking taylor expansion of J in U 1.489 * [backup-simplify]: Simplify J into J 1.489 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.489 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.489 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.489 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.489 * [taylor]: Taking taylor expansion of -1/2 in U 1.489 * [backup-simplify]: Simplify -1/2 into -1/2 1.489 * [taylor]: Taking taylor expansion of K in U 1.489 * [backup-simplify]: Simplify K into K 1.489 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.489 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.489 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.489 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.489 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.489 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.489 * [taylor]: Taking taylor expansion of U in U 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.489 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.490 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.490 * [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))) 1.490 * [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))) 1.490 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.490 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.491 * [backup-simplify]: Simplify (+ 0) into 0 1.491 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.493 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.494 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.495 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.495 * [taylor]: Taking taylor expansion of 1 in K 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [taylor]: Taking taylor expansion of 1 in J 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify (+ 0) into 0 1.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.497 * [backup-simplify]: Simplify (- 0) into 0 1.497 * [backup-simplify]: Simplify (+ 0 0) into 0 1.497 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.498 * [taylor]: Taking taylor expansion of 0 in K 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [taylor]: Taking taylor expansion of 0 in J 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [taylor]: Taking taylor expansion of 0 in J 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.502 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.503 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.505 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: 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 1.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.507 * [backup-simplify]: Simplify (+ 1 0) into 1 1.508 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.508 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.509 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.510 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.511 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.513 * [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)) 1.513 * [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))) 1.513 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.514 * [taylor]: Taking taylor expansion of 2 in K 1.514 * [backup-simplify]: Simplify 2 into 2 1.514 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.514 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.514 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.514 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.514 * [taylor]: Taking taylor expansion of -1/2 in K 1.514 * [backup-simplify]: Simplify -1/2 into -1/2 1.514 * [taylor]: Taking taylor expansion of K in K 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.514 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.514 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.514 * [taylor]: Taking taylor expansion of J in K 1.514 * [backup-simplify]: Simplify J into J 1.515 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.515 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.515 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.515 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.515 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.515 * [taylor]: Taking taylor expansion of 2 in J 1.515 * [backup-simplify]: Simplify 2 into 2 1.515 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.515 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.515 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.515 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.515 * [taylor]: Taking taylor expansion of -1/2 in J 1.515 * [backup-simplify]: Simplify -1/2 into -1/2 1.515 * [taylor]: Taking taylor expansion of K in J 1.515 * [backup-simplify]: Simplify K into K 1.515 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.515 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.515 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.516 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.516 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.516 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.516 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.516 * [taylor]: Taking taylor expansion of J in J 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.517 * [backup-simplify]: Simplify (+ 0) into 0 1.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.519 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [taylor]: Taking taylor expansion of 0 in J 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [taylor]: Taking taylor expansion of 0 in J 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.526 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.529 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.529 * [backup-simplify]: Simplify (- 0) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.531 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.532 * [backup-simplify]: 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 1.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.535 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.539 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.540 * [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 1.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.542 * [taylor]: Taking taylor expansion of 0 in K 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [taylor]: Taking taylor expansion of 0 in J 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.542 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.543 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.543 * [taylor]: Taking taylor expansion of 0 in J 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [taylor]: Taking taylor expansion of 0 in J 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [taylor]: Taking taylor expansion of 0 in J 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.552 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.552 * [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)))) 1.552 * [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 1.552 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.552 * [taylor]: Taking taylor expansion of 1/4 in J 1.552 * [backup-simplify]: Simplify 1/4 into 1/4 1.552 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.552 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.552 * [taylor]: Taking taylor expansion of U in J 1.552 * [backup-simplify]: Simplify U into U 1.553 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.553 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.553 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.553 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.553 * [taylor]: Taking taylor expansion of 1/2 in J 1.553 * [backup-simplify]: Simplify 1/2 into 1/2 1.553 * [taylor]: Taking taylor expansion of K in J 1.553 * [backup-simplify]: Simplify K into K 1.553 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.553 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.553 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.553 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.553 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.554 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.554 * [taylor]: Taking taylor expansion of J in J 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.554 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.555 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.555 * [taylor]: Taking taylor expansion of 1/4 in K 1.555 * [backup-simplify]: Simplify 1/4 into 1/4 1.555 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.555 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.555 * [taylor]: Taking taylor expansion of U in K 1.555 * [backup-simplify]: Simplify U into U 1.555 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.555 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.555 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.555 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.555 * [taylor]: Taking taylor expansion of 1/2 in K 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of K in K 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.556 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.556 * [taylor]: Taking taylor expansion of J in K 1.556 * [backup-simplify]: Simplify J into J 1.556 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.557 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.557 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.557 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.557 * [taylor]: Taking taylor expansion of 1/4 in U 1.557 * [backup-simplify]: Simplify 1/4 into 1/4 1.557 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.557 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.557 * [taylor]: Taking taylor expansion of U in U 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.557 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.557 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.557 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.557 * [taylor]: Taking taylor expansion of 1/2 in U 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of K in U 1.557 * [backup-simplify]: Simplify K into K 1.557 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.558 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.558 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.558 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.558 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.558 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.559 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.559 * [taylor]: Taking taylor expansion of J in U 1.559 * [backup-simplify]: Simplify J into J 1.559 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.559 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.559 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.560 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.560 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.560 * [taylor]: Taking taylor expansion of 1/4 in U 1.560 * [backup-simplify]: Simplify 1/4 into 1/4 1.560 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.560 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.560 * [taylor]: Taking taylor expansion of U in U 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.560 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.560 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.560 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.560 * [taylor]: Taking taylor expansion of 1/2 in U 1.560 * [backup-simplify]: Simplify 1/2 into 1/2 1.560 * [taylor]: Taking taylor expansion of K in U 1.560 * [backup-simplify]: Simplify K into K 1.560 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.560 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.560 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.560 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.560 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.561 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.561 * [taylor]: Taking taylor expansion of J in U 1.561 * [backup-simplify]: Simplify J into J 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.562 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.562 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.562 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.562 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.562 * [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))) 1.562 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.562 * [taylor]: Taking taylor expansion of 1/4 in K 1.562 * [backup-simplify]: Simplify 1/4 into 1/4 1.562 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.562 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.562 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.563 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.563 * [taylor]: Taking taylor expansion of 1/2 in K 1.563 * [backup-simplify]: Simplify 1/2 into 1/2 1.563 * [taylor]: Taking taylor expansion of K in K 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.564 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.564 * [taylor]: Taking taylor expansion of J in K 1.564 * [backup-simplify]: Simplify J into J 1.564 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.565 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.565 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.565 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.565 * [taylor]: Taking taylor expansion of 1/4 in J 1.565 * [backup-simplify]: Simplify 1/4 into 1/4 1.565 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.565 * [taylor]: Taking taylor expansion of J in J 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.566 * [backup-simplify]: Simplify 1/4 into 1/4 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.567 * [backup-simplify]: Simplify (+ 0) into 0 1.567 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.571 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.573 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.574 * [taylor]: Taking taylor expansion of 0 in K 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [taylor]: Taking taylor expansion of 0 in J 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.574 * [backup-simplify]: Simplify (+ 0) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.576 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.576 * [taylor]: Taking taylor expansion of 0 in J 1.576 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.580 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.583 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.585 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.585 * [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 1.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.586 * [taylor]: Taking taylor expansion of 0 in K 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [taylor]: Taking taylor expansion of 0 in J 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [taylor]: Taking taylor expansion of 0 in J 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.589 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.590 * [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))) 1.591 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.591 * [taylor]: Taking taylor expansion of 1/16 in J 1.591 * [backup-simplify]: Simplify 1/16 into 1/16 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.591 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.591 * [taylor]: Taking taylor expansion of J in J 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (* 1 1) into 1 1.591 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.592 * [backup-simplify]: Simplify 1/16 into 1/16 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.602 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.602 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.604 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.605 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.607 * [taylor]: Taking taylor expansion of 0 in K 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [taylor]: Taking taylor expansion of 0 in J 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [taylor]: Taking taylor expansion of 0 in J 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [taylor]: Taking taylor expansion of 0 in J 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.610 * [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 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.613 * [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 1.613 * [taylor]: Taking taylor expansion of 0 in J 1.613 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.620 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.622 * [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 1.623 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.626 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.630 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.632 * [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 1.633 * [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 1.633 * [taylor]: Taking taylor expansion of 0 in K 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [taylor]: Taking taylor expansion of 0 in J 1.633 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in J 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in J 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in J 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.639 * [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 1.640 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 1.643 * [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))) 1.643 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 1.643 * [taylor]: Taking taylor expansion of 1/96 in J 1.643 * [backup-simplify]: Simplify 1/96 into 1/96 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.643 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.643 * [taylor]: Taking taylor expansion of J in J 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (* 1 1) into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 1.644 * [backup-simplify]: Simplify 1/96 into 1/96 1.645 * [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))))) 1.646 * [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)))) 1.646 * [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 1.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.646 * [taylor]: Taking taylor expansion of 1/4 in J 1.646 * [backup-simplify]: Simplify 1/4 into 1/4 1.646 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.646 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.646 * [taylor]: Taking taylor expansion of J in J 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.646 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.646 * [taylor]: Taking taylor expansion of U in J 1.646 * [backup-simplify]: Simplify U into U 1.646 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.646 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.646 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.646 * [taylor]: Taking taylor expansion of 1/2 in J 1.646 * [backup-simplify]: Simplify 1/2 into 1/2 1.647 * [taylor]: Taking taylor expansion of K in J 1.647 * [backup-simplify]: Simplify K into K 1.647 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.647 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.647 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.647 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.647 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.647 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.648 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.648 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.648 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.648 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.648 * [taylor]: Taking taylor expansion of 1/4 in K 1.648 * [backup-simplify]: Simplify 1/4 into 1/4 1.649 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.649 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.649 * [taylor]: Taking taylor expansion of J in K 1.649 * [backup-simplify]: Simplify J into J 1.649 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.649 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.649 * [taylor]: Taking taylor expansion of U in K 1.649 * [backup-simplify]: Simplify U into U 1.649 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.649 * [taylor]: Taking taylor expansion of 1/2 in K 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of K in K 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.649 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.650 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.650 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.650 * [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))) 1.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.650 * [taylor]: Taking taylor expansion of 1/4 in U 1.650 * [backup-simplify]: Simplify 1/4 into 1/4 1.650 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.650 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.650 * [taylor]: Taking taylor expansion of J in U 1.650 * [backup-simplify]: Simplify J into J 1.650 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.650 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.650 * [taylor]: Taking taylor expansion of U in U 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.650 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.651 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.651 * [taylor]: Taking taylor expansion of 1/2 in U 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of K in U 1.651 * [backup-simplify]: Simplify K into K 1.651 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.651 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.651 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.651 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.651 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.652 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.652 * [backup-simplify]: Simplify (* 1 1) into 1 1.652 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.652 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.652 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.652 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.652 * [taylor]: Taking taylor expansion of 1/4 in U 1.652 * [backup-simplify]: Simplify 1/4 into 1/4 1.653 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.653 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.653 * [taylor]: Taking taylor expansion of J in U 1.653 * [backup-simplify]: Simplify J into J 1.653 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.653 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.653 * [taylor]: Taking taylor expansion of U in U 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.653 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.653 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.653 * [taylor]: Taking taylor expansion of 1/2 in U 1.653 * [backup-simplify]: Simplify 1/2 into 1/2 1.653 * [taylor]: Taking taylor expansion of K in U 1.653 * [backup-simplify]: Simplify K into K 1.653 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.653 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.653 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.653 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.653 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.654 * [backup-simplify]: Simplify (- 0) into 0 1.654 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.654 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.654 * [backup-simplify]: Simplify (* 1 1) into 1 1.654 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.654 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.655 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.655 * [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))) 1.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 1.655 * [taylor]: Taking taylor expansion of 1/4 in K 1.655 * [backup-simplify]: Simplify 1/4 into 1/4 1.655 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 1.655 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.655 * [taylor]: Taking taylor expansion of J in K 1.655 * [backup-simplify]: Simplify J into J 1.655 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.655 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.655 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.655 * [taylor]: Taking taylor expansion of 1/2 in K 1.655 * [backup-simplify]: Simplify 1/2 into 1/2 1.655 * [taylor]: Taking taylor expansion of K in K 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.656 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.656 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.656 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.656 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.656 * [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))) 1.656 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 1.656 * [taylor]: Taking taylor expansion of 1/4 in J 1.656 * [backup-simplify]: Simplify 1/4 into 1/4 1.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 1.657 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.657 * [taylor]: Taking taylor expansion of J in J 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.657 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.657 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.657 * [taylor]: Taking taylor expansion of 1/2 in J 1.657 * [backup-simplify]: Simplify 1/2 into 1/2 1.657 * [taylor]: Taking taylor expansion of K in J 1.657 * [backup-simplify]: Simplify K into K 1.657 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.657 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.657 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.657 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.657 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.657 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.658 * [backup-simplify]: Simplify (* 1 1) into 1 1.658 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.658 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.658 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.658 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.659 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.659 * [backup-simplify]: Simplify (+ 0) into 0 1.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.661 * [backup-simplify]: Simplify (- 0) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.663 * [backup-simplify]: 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 1.663 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.663 * [taylor]: Taking taylor expansion of 0 in K 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [taylor]: Taking taylor expansion of 0 in J 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.663 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.664 * [backup-simplify]: 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 1.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in J 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.665 * [backup-simplify]: Simplify (+ 0) into 0 1.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.667 * [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 1.668 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.669 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.670 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.673 * [taylor]: Taking taylor expansion of 0 in K 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [taylor]: Taking taylor expansion of 0 in J 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [taylor]: Taking taylor expansion of 0 in J 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.674 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.674 * [taylor]: Taking taylor expansion of 0 in J 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [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)))) 1.675 * [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)))) 1.675 * [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 1.675 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.675 * [taylor]: Taking taylor expansion of 1/4 in J 1.675 * [backup-simplify]: Simplify 1/4 into 1/4 1.675 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.675 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.675 * [taylor]: Taking taylor expansion of J in J 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.675 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.675 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.675 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.675 * [taylor]: Taking taylor expansion of -1/2 in J 1.675 * [backup-simplify]: Simplify -1/2 into -1/2 1.675 * [taylor]: Taking taylor expansion of K in J 1.675 * [backup-simplify]: Simplify K into K 1.675 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.675 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.675 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.675 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.676 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.676 * [taylor]: Taking taylor expansion of U in J 1.676 * [backup-simplify]: Simplify U into U 1.676 * [backup-simplify]: Simplify (* 1 1) into 1 1.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.676 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.676 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.676 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.676 * [taylor]: Taking taylor expansion of 1/4 in K 1.676 * [backup-simplify]: Simplify 1/4 into 1/4 1.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.676 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.676 * [taylor]: Taking taylor expansion of J in K 1.676 * [backup-simplify]: Simplify J into J 1.676 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.677 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.677 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.677 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.677 * [taylor]: Taking taylor expansion of -1/2 in K 1.677 * [backup-simplify]: Simplify -1/2 into -1/2 1.677 * [taylor]: Taking taylor expansion of K in K 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.677 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.677 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.677 * [taylor]: Taking taylor expansion of U in K 1.677 * [backup-simplify]: Simplify U into U 1.677 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.677 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.677 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.677 * [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))) 1.677 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.677 * [taylor]: Taking taylor expansion of 1/4 in U 1.677 * [backup-simplify]: Simplify 1/4 into 1/4 1.677 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.677 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.677 * [taylor]: Taking taylor expansion of J in U 1.678 * [backup-simplify]: Simplify J into J 1.678 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.678 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.678 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.678 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.678 * [taylor]: Taking taylor expansion of -1/2 in U 1.678 * [backup-simplify]: Simplify -1/2 into -1/2 1.678 * [taylor]: Taking taylor expansion of K in U 1.678 * [backup-simplify]: Simplify K into K 1.678 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.678 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.678 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.678 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.678 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.678 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.678 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.678 * [taylor]: Taking taylor expansion of U in U 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.678 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.679 * [backup-simplify]: Simplify (* 1 1) into 1 1.679 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.679 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.679 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.679 * [taylor]: Taking taylor expansion of 1/4 in U 1.679 * [backup-simplify]: Simplify 1/4 into 1/4 1.679 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.679 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.679 * [taylor]: Taking taylor expansion of J in U 1.679 * [backup-simplify]: Simplify J into J 1.679 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.679 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.679 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.679 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.679 * [taylor]: Taking taylor expansion of -1/2 in U 1.679 * [backup-simplify]: Simplify -1/2 into -1/2 1.679 * [taylor]: Taking taylor expansion of K in U 1.679 * [backup-simplify]: Simplify K into K 1.679 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.679 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.679 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.679 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.679 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.680 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.680 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.680 * [taylor]: Taking taylor expansion of U in U 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.680 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.680 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.680 * [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))) 1.680 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 1.680 * [taylor]: Taking taylor expansion of 1/4 in K 1.680 * [backup-simplify]: Simplify 1/4 into 1/4 1.680 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 1.680 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.680 * [taylor]: Taking taylor expansion of J in K 1.681 * [backup-simplify]: Simplify J into J 1.681 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.681 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.681 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.681 * [taylor]: Taking taylor expansion of -1/2 in K 1.681 * [backup-simplify]: Simplify -1/2 into -1/2 1.681 * [taylor]: Taking taylor expansion of K in K 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.681 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.681 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.681 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.681 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.681 * [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))) 1.681 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 1.681 * [taylor]: Taking taylor expansion of 1/4 in J 1.681 * [backup-simplify]: Simplify 1/4 into 1/4 1.681 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 1.681 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.681 * [taylor]: Taking taylor expansion of J in J 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.681 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.681 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.682 * [taylor]: Taking taylor expansion of -1/2 in J 1.682 * [backup-simplify]: Simplify -1/2 into -1/2 1.682 * [taylor]: Taking taylor expansion of K in J 1.682 * [backup-simplify]: Simplify K into K 1.682 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.682 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.682 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.682 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.682 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.682 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 1.683 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.683 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.683 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.683 * [backup-simplify]: Simplify (+ 0) into 0 1.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.685 * [backup-simplify]: Simplify (- 0) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.685 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.686 * [taylor]: Taking taylor expansion of 0 in K 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in J 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.687 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.687 * [taylor]: Taking taylor expansion of 0 in J 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (+ 0) into 0 1.688 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.689 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.689 * [backup-simplify]: Simplify (- 0) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.690 * [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 1.690 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.691 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.693 * [backup-simplify]: Simplify (- 0) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.694 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.694 * [backup-simplify]: 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 1.695 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.695 * [taylor]: Taking taylor expansion of 0 in K 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [taylor]: Taking taylor expansion of 0 in J 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [taylor]: Taking taylor expansion of 0 in J 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.697 * [backup-simplify]: 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 1.698 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.698 * [taylor]: Taking taylor expansion of 0 in J 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [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)))) 1.698 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.698 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 1.698 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 1.698 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.698 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.698 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.699 * [taylor]: Taking taylor expansion of 1/2 in J 1.699 * [backup-simplify]: Simplify 1/2 into 1/2 1.699 * [taylor]: Taking taylor expansion of K in J 1.699 * [backup-simplify]: Simplify K into K 1.699 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.699 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.699 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.699 * [taylor]: Taking taylor expansion of J in J 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.699 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.699 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.699 * [taylor]: Taking taylor expansion of 1/2 in K 1.699 * [backup-simplify]: Simplify 1/2 into 1/2 1.699 * [taylor]: Taking taylor expansion of K in K 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.700 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.700 * [taylor]: Taking taylor expansion of J in K 1.700 * [backup-simplify]: Simplify J into J 1.700 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.700 * [taylor]: Taking taylor expansion of 1/2 in K 1.700 * [backup-simplify]: Simplify 1/2 into 1/2 1.700 * [taylor]: Taking taylor expansion of K in K 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.700 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.700 * [taylor]: Taking taylor expansion of J in K 1.700 * [backup-simplify]: Simplify J into J 1.701 * [backup-simplify]: Simplify (* 1 J) into J 1.701 * [taylor]: Taking taylor expansion of J in J 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.701 * [taylor]: Taking taylor expansion of 0 in J 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.702 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 1.702 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 1.702 * [taylor]: Taking taylor expansion of 1/8 in J 1.702 * [backup-simplify]: Simplify 1/8 into 1/8 1.702 * [taylor]: Taking taylor expansion of J in J 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.703 * [backup-simplify]: Simplify (- 0) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.704 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.705 * [taylor]: Taking taylor expansion of 0 in J 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.706 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.706 * [backup-simplify]: Simplify -1/8 into -1/8 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.708 * [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 1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.709 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 1.709 * [taylor]: Taking taylor expansion of 1/384 in J 1.709 * [backup-simplify]: Simplify 1/384 into 1/384 1.709 * [taylor]: Taking taylor expansion of J in J 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (* 1/384 0) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 1.711 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 1.711 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 1.711 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.711 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.711 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.711 * [taylor]: Taking taylor expansion of 1/2 in J 1.711 * [backup-simplify]: Simplify 1/2 into 1/2 1.711 * [taylor]: Taking taylor expansion of K in J 1.711 * [backup-simplify]: Simplify K into K 1.711 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.711 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.711 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.711 * [taylor]: Taking taylor expansion of J in J 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.711 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.711 * [backup-simplify]: Simplify (- 0) into 0 1.711 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.711 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.711 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.711 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.711 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.711 * [taylor]: Taking taylor expansion of 1/2 in K 1.711 * [backup-simplify]: Simplify 1/2 into 1/2 1.711 * [taylor]: Taking taylor expansion of K in K 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.712 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.712 * [taylor]: Taking taylor expansion of J in K 1.712 * [backup-simplify]: Simplify J into J 1.712 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.712 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.712 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.712 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.712 * [taylor]: Taking taylor expansion of 1/2 in K 1.712 * [backup-simplify]: Simplify 1/2 into 1/2 1.712 * [taylor]: Taking taylor expansion of K in K 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.712 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.712 * [taylor]: Taking taylor expansion of J in K 1.712 * [backup-simplify]: Simplify J into J 1.712 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.713 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.713 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.713 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.713 * [taylor]: Taking taylor expansion of 1/2 in J 1.713 * [backup-simplify]: Simplify 1/2 into 1/2 1.713 * [taylor]: Taking taylor expansion of K in J 1.713 * [backup-simplify]: Simplify K into K 1.713 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.713 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.713 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.713 * [taylor]: Taking taylor expansion of J in J 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.713 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.713 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.713 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.713 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in J 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ 0) into 0 1.714 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.714 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.716 * [taylor]: Taking taylor expansion of 0 in J 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.717 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.718 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.720 * [taylor]: Taking taylor expansion of 0 in J 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.722 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.723 * [backup-simplify]: Simplify (- 0) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 1.724 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.724 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.724 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.724 * [taylor]: Taking taylor expansion of -1 in J 1.724 * [backup-simplify]: Simplify -1 into -1 1.724 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.724 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.724 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.724 * [taylor]: Taking taylor expansion of -1/2 in J 1.724 * [backup-simplify]: Simplify -1/2 into -1/2 1.724 * [taylor]: Taking taylor expansion of K in J 1.724 * [backup-simplify]: Simplify K into K 1.724 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.724 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.724 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.724 * [taylor]: Taking taylor expansion of J in J 1.724 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.725 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.725 * [backup-simplify]: Simplify (- 0) into 0 1.725 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.725 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.725 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.725 * [taylor]: Taking taylor expansion of -1 in K 1.725 * [backup-simplify]: Simplify -1 into -1 1.725 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.725 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.725 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.725 * [taylor]: Taking taylor expansion of -1/2 in K 1.725 * [backup-simplify]: Simplify -1/2 into -1/2 1.725 * [taylor]: Taking taylor expansion of K in K 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.725 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.725 * [taylor]: Taking taylor expansion of J in K 1.726 * [backup-simplify]: Simplify J into J 1.726 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.726 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.726 * [taylor]: Taking taylor expansion of -1 in K 1.726 * [backup-simplify]: Simplify -1 into -1 1.726 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.726 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.726 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.726 * [taylor]: Taking taylor expansion of -1/2 in K 1.726 * [backup-simplify]: Simplify -1/2 into -1/2 1.726 * [taylor]: Taking taylor expansion of K in K 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.726 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.726 * [taylor]: Taking taylor expansion of J in K 1.726 * [backup-simplify]: Simplify J into J 1.726 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.726 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.726 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.726 * [taylor]: Taking taylor expansion of -1 in J 1.726 * [backup-simplify]: Simplify -1 into -1 1.726 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.726 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.726 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.726 * [taylor]: Taking taylor expansion of -1/2 in J 1.726 * [backup-simplify]: Simplify -1/2 into -1/2 1.726 * [taylor]: Taking taylor expansion of K in J 1.726 * [backup-simplify]: Simplify K into K 1.726 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.727 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.727 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.727 * [taylor]: Taking taylor expansion of J in J 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.727 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.727 * [backup-simplify]: Simplify (- 0) into 0 1.727 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.727 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.727 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.727 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.727 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.728 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in J 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (+ 0) into 0 1.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.728 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.731 * [taylor]: Taking taylor expansion of 0 in J 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.734 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.739 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in J 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.741 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.742 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.743 * [backup-simplify]: Simplify (- 0) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 1.747 * * * [progress]: simplifying candidates 1.747 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 1.747 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 1.747 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 1.747 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 1.747 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 1.748 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 1.748 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 1.748 * [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)))) 1.748 * * [simplify]: iters left: 6 (15 enodes) 1.756 * * [simplify]: iters left: 5 (59 enodes) 1.777 * * [simplify]: iters left: 4 (112 enodes) 1.832 * * [simplify]: iters left: 3 (365 enodes) 2.075 * * [simplify]: Extracting #0: cost 1 inf + 0 2.075 * * [simplify]: Extracting #1: cost 4 inf + 0 2.075 * * [simplify]: Extracting #2: cost 7 inf + 0 2.075 * * [simplify]: Extracting #3: cost 10 inf + 0 2.075 * * [simplify]: Extracting #4: cost 122 inf + 1 2.076 * * [simplify]: Extracting #5: cost 241 inf + 89 2.078 * * [simplify]: Extracting #6: cost 203 inf + 3666 2.082 * * [simplify]: Extracting #7: cost 128 inf + 17960 2.105 * * [simplify]: Extracting #8: cost 13 inf + 45848 2.135 * * [simplify]: Extracting #9: cost 0 inf + 48961 2.166 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 2.166 * [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))) 2.166 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 2.167 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 2.167 * * [simplify]: iters left: 6 (14 enodes) 2.174 * * [simplify]: iters left: 5 (55 enodes) 2.193 * * [simplify]: iters left: 4 (108 enodes) 2.225 * * [simplify]: iters left: 3 (363 enodes) 2.482 * * [simplify]: Extracting #0: cost 1 inf + 0 2.482 * * [simplify]: Extracting #1: cost 3 inf + 0 2.482 * * [simplify]: Extracting #2: cost 5 inf + 0 2.482 * * [simplify]: Extracting #3: cost 8 inf + 0 2.483 * * [simplify]: Extracting #4: cost 123 inf + 1 2.485 * * [simplify]: Extracting #5: cost 234 inf + 420 2.488 * * [simplify]: Extracting #6: cost 203 inf + 3175 2.497 * * [simplify]: Extracting #7: cost 127 inf + 18949 2.525 * * [simplify]: Extracting #8: cost 7 inf + 46860 2.557 * * [simplify]: Extracting #9: cost 0 inf + 48232 2.572 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 2.572 * [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))) 2.572 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 2.573 * [simplify]: Simplifying (sqrt 1) 2.573 * * [simplify]: iters left: 1 (2 enodes) 2.575 * * [simplify]: Extracting #0: cost 1 inf + 0 2.575 * * [simplify]: Extracting #1: cost 0 inf + 1 2.576 * [simplify]: Simplified to 1 2.576 * [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))) 2.576 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 2.576 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 2.576 * * [simplify]: iters left: 6 (16 enodes) 2.581 * * [simplify]: iters left: 5 (70 enodes) 2.608 * * [simplify]: iters left: 4 (176 enodes) 2.766 * * [simplify]: Extracting #0: cost 1 inf + 0 2.766 * * [simplify]: Extracting #1: cost 3 inf + 0 2.766 * * [simplify]: Extracting #2: cost 6 inf + 0 2.766 * * [simplify]: Extracting #3: cost 103 inf + 1 2.768 * * [simplify]: Extracting #4: cost 306 inf + 6 2.770 * * [simplify]: Extracting #5: cost 338 inf + 1810 2.783 * * [simplify]: Extracting #6: cost 242 inf + 27932 2.811 * * [simplify]: Extracting #7: cost 28 inf + 100762 2.835 * * [simplify]: Extracting #8: cost 0 inf + 110036 2.879 * [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))))))) 2.880 * [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))) 2.880 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 2.880 * [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))) 2.881 * * [simplify]: iters left: 6 (15 enodes) 2.889 * * [simplify]: iters left: 5 (62 enodes) 2.915 * * [simplify]: iters left: 4 (150 enodes) 3.002 * * [simplify]: Extracting #0: cost 1 inf + 0 3.002 * * [simplify]: Extracting #1: cost 3 inf + 0 3.002 * * [simplify]: Extracting #2: cost 9 inf + 0 3.002 * * [simplify]: Extracting #3: cost 105 inf + 2 3.003 * * [simplify]: Extracting #4: cost 286 inf + 6 3.004 * * [simplify]: Extracting #5: cost 280 inf + 1923 3.008 * * [simplify]: Extracting #6: cost 191 inf + 25190 3.023 * * [simplify]: Extracting #7: cost 26 inf + 76271 3.055 * * [simplify]: Extracting #8: cost 0 inf + 85028 3.078 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 3.078 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 3.078 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 3.078 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3.078 * * [simplify]: iters left: 6 (12 enodes) 3.082 * * [simplify]: iters left: 5 (49 enodes) 3.101 * * [simplify]: iters left: 4 (102 enodes) 3.131 * * [simplify]: iters left: 3 (356 enodes) 3.373 * * [simplify]: Extracting #0: cost 1 inf + 0 3.373 * * [simplify]: Extracting #1: cost 4 inf + 0 3.373 * * [simplify]: Extracting #2: cost 116 inf + 1 3.374 * * [simplify]: Extracting #3: cost 234 inf + 254 3.376 * * [simplify]: Extracting #4: cost 192 inf + 4198 3.381 * * [simplify]: Extracting #5: cost 121 inf + 19235 3.405 * * [simplify]: Extracting #6: cost 5 inf + 46310 3.437 * * [simplify]: Extracting #7: cost 0 inf + 47117 3.453 * * [simplify]: Extracting #8: cost 0 inf + 46998 3.468 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 3.468 * [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))) 3.468 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 3.469 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 3.469 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3.469 * * [simplify]: iters left: 6 (13 enodes) 3.476 * * [simplify]: iters left: 5 (52 enodes) 3.495 * * [simplify]: iters left: 4 (105 enodes) 3.549 * * [simplify]: iters left: 3 (359 enodes) 3.778 * * [simplify]: Extracting #0: cost 1 inf + 0 3.778 * * [simplify]: Extracting #1: cost 3 inf + 0 3.778 * * [simplify]: Extracting #2: cost 6 inf + 0 3.779 * * [simplify]: Extracting #3: cost 118 inf + 1 3.781 * * [simplify]: Extracting #4: cost 235 inf + 336 3.784 * * [simplify]: Extracting #5: cost 193 inf + 4402 3.792 * * [simplify]: Extracting #6: cost 119 inf + 19348 3.817 * * [simplify]: Extracting #7: cost 7 inf + 46040 3.846 * * [simplify]: Extracting #8: cost 0 inf + 47488 3.874 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 3.874 * [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))) 3.874 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 3.874 * * * * [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)))> 3.874 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 3.874 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.874 * * [simplify]: iters left: 6 (16 enodes) 3.879 * * [simplify]: iters left: 5 (67 enodes) 3.895 * * [simplify]: iters left: 4 (143 enodes) 3.930 * * [simplify]: iters left: 3 (434 enodes) 4.225 * * [simplify]: Extracting #0: cost 1 inf + 0 4.225 * * [simplify]: Extracting #1: cost 19 inf + 0 4.225 * * [simplify]: Extracting #2: cost 31 inf + 2 4.225 * * [simplify]: Extracting #3: cost 36 inf + 44 4.225 * * [simplify]: Extracting #4: cost 142 inf + 89 4.227 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.246 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.274 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.292 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.323 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.323 * [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)) 4.323 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 4.324 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.324 * * [simplify]: iters left: 6 (16 enodes) 4.336 * * [simplify]: iters left: 5 (67 enodes) 4.360 * * [simplify]: iters left: 4 (143 enodes) 4.427 * * [simplify]: iters left: 3 (434 enodes) 4.695 * * [simplify]: Extracting #0: cost 1 inf + 0 4.695 * * [simplify]: Extracting #1: cost 19 inf + 0 4.696 * * [simplify]: Extracting #2: cost 31 inf + 2 4.696 * * [simplify]: Extracting #3: cost 36 inf + 44 4.697 * * [simplify]: Extracting #4: cost 142 inf + 89 4.700 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.723 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.750 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.768 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.795 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.795 * [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)) 4.795 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 4.796 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.796 * * [simplify]: iters left: 6 (16 enodes) 4.806 * * [simplify]: iters left: 5 (67 enodes) 4.829 * * [simplify]: iters left: 4 (143 enodes) 4.867 * * [simplify]: iters left: 3 (434 enodes) 5.207 * * [simplify]: Extracting #0: cost 1 inf + 0 5.207 * * [simplify]: Extracting #1: cost 19 inf + 0 5.208 * * [simplify]: Extracting #2: cost 31 inf + 2 5.208 * * [simplify]: Extracting #3: cost 36 inf + 44 5.209 * * [simplify]: Extracting #4: cost 142 inf + 89 5.212 * * [simplify]: Extracting #5: cost 232 inf + 4336 5.234 * * [simplify]: Extracting #6: cost 40 inf + 43927 5.256 * * [simplify]: Extracting #7: cost 2 inf + 54059 5.285 * * [simplify]: Extracting #8: cost 0 inf + 54749 5.323 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.323 * [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)) 5.323 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 5.323 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 5.324 * * [simplify]: iters left: 6 (16 enodes) 5.333 * * [simplify]: iters left: 5 (67 enodes) 5.354 * * [simplify]: iters left: 4 (143 enodes) 5.400 * * [simplify]: iters left: 3 (434 enodes) 5.666 * * [simplify]: Extracting #0: cost 1 inf + 0 5.666 * * [simplify]: Extracting #1: cost 19 inf + 0 5.666 * * [simplify]: Extracting #2: cost 31 inf + 2 5.666 * * [simplify]: Extracting #3: cost 36 inf + 44 5.667 * * [simplify]: Extracting #4: cost 142 inf + 89 5.669 * * [simplify]: Extracting #5: cost 232 inf + 4336 5.680 * * [simplify]: Extracting #6: cost 40 inf + 43927 5.706 * * [simplify]: Extracting #7: cost 2 inf + 54059 5.742 * * [simplify]: Extracting #8: cost 0 inf + 54749 5.775 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.775 * [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)) 5.775 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 5.776 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 5.776 * [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))) 5.776 * * [simplify]: iters left: 6 (21 enodes) 5.782 * * [simplify]: iters left: 5 (83 enodes) 5.797 * * [simplify]: iters left: 4 (159 enodes) 5.855 * * [simplify]: iters left: 3 (450 enodes) 6.088 * * [simplify]: Extracting #0: cost 1 inf + 0 6.088 * * [simplify]: Extracting #1: cost 17 inf + 0 6.088 * * [simplify]: Extracting #2: cost 35 inf + 0 6.088 * * [simplify]: Extracting #3: cost 35 inf + 144 6.088 * * [simplify]: Extracting #4: cost 39 inf + 397 6.089 * * [simplify]: Extracting #5: cost 149 inf + 653 6.091 * * [simplify]: Extracting #6: cost 241 inf + 4041 6.108 * * [simplify]: Extracting #7: cost 67 inf + 41321 6.141 * * [simplify]: Extracting #8: cost 2 inf + 59818 6.177 * * [simplify]: Extracting #9: cost 0 inf + 60617 6.210 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))) 6.210 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))))) 6.210 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 6.210 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 6.210 * * [simplify]: iters left: 6 (19 enodes) 6.216 * * [simplify]: iters left: 5 (77 enodes) 6.230 * * [simplify]: iters left: 4 (149 enodes) 6.269 * * [simplify]: iters left: 3 (437 enodes) 6.537 * * [simplify]: Extracting #0: cost 1 inf + 0 6.537 * * [simplify]: Extracting #1: cost 16 inf + 0 6.537 * * [simplify]: Extracting #2: cost 35 inf + 0 6.538 * * [simplify]: Extracting #3: cost 36 inf + 144 6.538 * * [simplify]: Extracting #4: cost 39 inf + 579 6.539 * * [simplify]: Extracting #5: cost 147 inf + 653 6.542 * * [simplify]: Extracting #6: cost 234 inf + 5707 6.556 * * [simplify]: Extracting #7: cost 48 inf + 45584 6.574 * * [simplify]: Extracting #8: cost 2 inf + 58533 6.605 * * [simplify]: Extracting #9: cost 0 inf + 59248 6.623 * [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)))))))) 6.624 * [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)))))))))) 6.624 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 6.624 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 6.624 * * [simplify]: iters left: 6 (20 enodes) 6.630 * * [simplify]: iters left: 5 (81 enodes) 6.645 * * [simplify]: iters left: 4 (153 enodes) 6.688 * * [simplify]: iters left: 3 (441 enodes) 6.933 * * [simplify]: Extracting #0: cost 1 inf + 0 6.933 * * [simplify]: Extracting #1: cost 16 inf + 0 6.934 * * [simplify]: Extracting #2: cost 35 inf + 0 6.934 * * [simplify]: Extracting #3: cost 38 inf + 2 6.934 * * [simplify]: Extracting #4: cost 42 inf + 144 6.935 * * [simplify]: Extracting #5: cost 145 inf + 653 6.938 * * [simplify]: Extracting #6: cost 246 inf + 3631 6.949 * * [simplify]: Extracting #7: cost 70 inf + 39778 6.970 * * [simplify]: Extracting #8: cost 2 inf + 58947 7.001 * * [simplify]: Extracting #9: cost 0 inf + 59856 7.032 * * [simplify]: Extracting #10: cost 0 inf + 59855 7.051 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 7.051 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) 7.051 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 7.051 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 7.051 * * [simplify]: iters left: 6 (18 enodes) 7.058 * * [simplify]: iters left: 5 (75 enodes) 7.086 * * [simplify]: iters left: 4 (146 enodes) 7.131 * * [simplify]: iters left: 3 (432 enodes) 7.383 * * [simplify]: Extracting #0: cost 1 inf + 0 7.384 * * [simplify]: Extracting #1: cost 16 inf + 0 7.384 * * [simplify]: Extracting #2: cost 36 inf + 0 7.384 * * [simplify]: Extracting #3: cost 38 inf + 144 7.389 * * [simplify]: Extracting #4: cost 41 inf + 468 7.389 * * [simplify]: Extracting #5: cost 150 inf + 653 7.395 * * [simplify]: Extracting #6: cost 220 inf + 8356 7.415 * * [simplify]: Extracting #7: cost 49 inf + 44223 7.448 * * [simplify]: Extracting #8: cost 4 inf + 57371 7.471 * * [simplify]: Extracting #9: cost 0 inf + 59271 7.489 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 7.489 * [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))))) 7.489 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.489 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.489 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.489 * [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))) 7.490 * * [simplify]: iters left: 6 (25 enodes) 7.502 * * [simplify]: iters left: 5 (106 enodes) 7.536 * * [simplify]: iters left: 4 (290 enodes) 7.690 * * [simplify]: Extracting #0: cost 1 inf + 0 7.690 * * [simplify]: Extracting #1: cost 60 inf + 0 7.691 * * [simplify]: Extracting #2: cost 290 inf + 4 7.693 * * [simplify]: Extracting #3: cost 386 inf + 336 7.698 * * [simplify]: Extracting #4: cost 335 inf + 25383 7.719 * * [simplify]: Extracting #5: cost 110 inf + 100606 7.759 * * [simplify]: Extracting #6: cost 6 inf + 147667 7.832 * * [simplify]: Extracting #7: cost 0 inf + 150742 7.909 * [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))))))) 7.910 * [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))))))))) 7.910 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.910 * [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))) 7.911 * * [simplify]: iters left: 6 (22 enodes) 7.924 * * [simplify]: iters left: 5 (100 enodes) 7.958 * * [simplify]: iters left: 4 (294 enodes) 8.199 * * [simplify]: Extracting #0: cost 1 inf + 0 8.199 * * [simplify]: Extracting #1: cost 60 inf + 0 8.200 * * [simplify]: Extracting #2: cost 296 inf + 45 8.201 * * [simplify]: Extracting #3: cost 387 inf + 838 8.208 * * [simplify]: Extracting #4: cost 321 inf + 30714 8.244 * * [simplify]: Extracting #5: cost 92 inf + 107949 8.298 * * [simplify]: Extracting #6: cost 2 inf + 149823 8.379 * * [simplify]: Extracting #7: cost 0 inf + 150712 8.438 * [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)))) 8.438 * [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)))))) 8.439 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 8.439 * [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))) 8.439 * * [simplify]: iters left: 6 (23 enodes) 8.447 * * [simplify]: iters left: 5 (106 enodes) 8.485 * * [simplify]: iters left: 4 (272 enodes) 8.630 * * [simplify]: Extracting #0: cost 1 inf + 0 8.630 * * [simplify]: Extracting #1: cost 52 inf + 0 8.631 * * [simplify]: Extracting #2: cost 237 inf + 2 8.632 * * [simplify]: Extracting #3: cost 242 inf + 291 8.634 * * [simplify]: Extracting #4: cost 268 inf + 3688 8.642 * * [simplify]: Extracting #5: cost 226 inf + 37118 8.690 * * [simplify]: Extracting #6: cost 18 inf + 117250 8.747 * * [simplify]: Extracting #7: cost 0 inf + 126135 8.806 * * [simplify]: Extracting #8: cost 0 inf + 126134 8.866 * [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)))) 8.866 * [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)))))) 8.867 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 8.867 * [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))) 8.867 * * [simplify]: iters left: 6 (20 enodes) 8.880 * * [simplify]: iters left: 5 (100 enodes) 8.922 * * [simplify]: iters left: 4 (276 enodes) 9.067 * * [simplify]: Extracting #0: cost 1 inf + 0 9.067 * * [simplify]: Extracting #1: cost 53 inf + 0 9.068 * * [simplify]: Extracting #2: cost 239 inf + 43 9.069 * * [simplify]: Extracting #3: cost 239 inf + 415 9.070 * * [simplify]: Extracting #4: cost 270 inf + 3145 9.076 * * [simplify]: Extracting #5: cost 251 inf + 23178 9.091 * * [simplify]: Extracting #6: cost 106 inf + 68699 9.121 * * [simplify]: Extracting #7: cost 10 inf + 115190 9.155 * * [simplify]: Extracting #8: cost 0 inf + 120330 9.197 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 9.197 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 9.198 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 9.198 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 9.198 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 9.198 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 9.198 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 9.198 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 9.198 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 9.198 * * [simplify]: iters left: 6 (13 enodes) 9.202 * * [simplify]: iters left: 5 (52 enodes) 9.212 * * [simplify]: iters left: 4 (105 enodes) 9.240 * * [simplify]: iters left: 3 (359 enodes) 9.515 * * [simplify]: Extracting #0: cost 1 inf + 0 9.515 * * [simplify]: Extracting #1: cost 3 inf + 0 9.515 * * [simplify]: Extracting #2: cost 6 inf + 0 9.515 * * [simplify]: Extracting #3: cost 118 inf + 1 9.516 * * [simplify]: Extracting #4: cost 235 inf + 336 9.518 * * [simplify]: Extracting #5: cost 193 inf + 4402 9.521 * * [simplify]: Extracting #6: cost 119 inf + 19348 9.545 * * [simplify]: Extracting #7: cost 7 inf + 46040 9.576 * * [simplify]: Extracting #8: cost 0 inf + 47488 9.605 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 9.605 * [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)))) 9.606 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 9.606 * [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)) 9.606 * * [simplify]: iters left: 6 (19 enodes) 9.620 * * [simplify]: iters left: 5 (85 enodes) 9.654 * * [simplify]: iters left: 4 (216 enodes) 9.763 * * [simplify]: Extracting #0: cost 1 inf + 0 9.763 * * [simplify]: Extracting #1: cost 16 inf + 0 9.763 * * [simplify]: Extracting #2: cost 27 inf + 44 9.763 * * [simplify]: Extracting #3: cost 32 inf + 86 9.763 * * [simplify]: Extracting #4: cost 125 inf + 89 9.764 * * [simplify]: Extracting #5: cost 329 inf + 858 9.770 * * [simplify]: Extracting #6: cost 272 inf + 29285 9.799 * * [simplify]: Extracting #7: cost 76 inf + 96357 9.858 * * [simplify]: Extracting #8: cost 1 inf + 124961 9.914 * * [simplify]: Extracting #9: cost 0 inf + 125265 9.969 * [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) 9.969 * [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)))))) 9.970 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 9.970 * [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)) 9.970 * * [simplify]: iters left: 6 (18 enodes) 9.976 * * [simplify]: iters left: 5 (77 enodes) 9.991 * * [simplify]: iters left: 4 (190 enodes) 10.102 * * [simplify]: Extracting #0: cost 1 inf + 0 10.102 * * [simplify]: Extracting #1: cost 16 inf + 0 10.102 * * [simplify]: Extracting #2: cost 28 inf + 2 10.102 * * [simplify]: Extracting #3: cost 35 inf + 86 10.103 * * [simplify]: Extracting #4: cost 122 inf + 90 10.104 * * [simplify]: Extracting #5: cost 296 inf + 1624 10.113 * * [simplify]: Extracting #6: cost 126 inf + 54777 10.137 * * [simplify]: Extracting #7: cost 1 inf + 93095 10.172 * * [simplify]: Extracting #8: cost 0 inf + 93560 10.195 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) 10.195 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 10.196 * * * * [progress]: [ 40 / 143 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))> 10.196 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 10.196 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.196 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.196 * * [simplify]: iters left: 6 (9 enodes) 10.201 * * [simplify]: iters left: 5 (33 enodes) 10.212 * * [simplify]: iters left: 4 (51 enodes) 10.228 * * [simplify]: iters left: 3 (68 enodes) 10.237 * * [simplify]: iters left: 2 (73 enodes) 10.246 * * [simplify]: Extracting #0: cost 1 inf + 0 10.246 * * [simplify]: Extracting #1: cost 12 inf + 0 10.246 * * [simplify]: Extracting #2: cost 21 inf + 3 10.246 * * [simplify]: Extracting #3: cost 21 inf + 337 10.246 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.247 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.248 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.248 * [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))) 10.248 * [simplify]: Simplifying (+ 1 1) 10.248 * * [simplify]: iters left: 2 (2 enodes) 10.249 * * [simplify]: iters left: 1 (9 enodes) 10.251 * * [simplify]: Extracting #0: cost 1 inf + 0 10.251 * * [simplify]: Extracting #1: cost 0 inf + 1 10.251 * [simplify]: Simplified to 2 10.251 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 10.251 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.251 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 10.252 * * [simplify]: iters left: 6 (10 enodes) 10.254 * * [simplify]: iters left: 5 (40 enodes) 10.263 * * [simplify]: iters left: 4 (91 enodes) 10.302 * * [simplify]: iters left: 3 (345 enodes) 10.554 * * [simplify]: Extracting #0: cost 1 inf + 0 10.554 * * [simplify]: Extracting #1: cost 119 inf + 0 10.557 * * [simplify]: Extracting #2: cost 236 inf + 45 10.560 * * [simplify]: Extracting #3: cost 207 inf + 2474 10.570 * * [simplify]: Extracting #4: cost 104 inf + 22392 10.597 * * [simplify]: Extracting #5: cost 6 inf + 45410 10.626 * * [simplify]: Extracting #6: cost 0 inf + 46788 10.656 * * [simplify]: Extracting #7: cost 0 inf + 46787 10.682 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 10.682 * [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))) 10.682 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.682 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.683 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.683 * * [simplify]: iters left: 6 (9 enodes) 10.685 * * [simplify]: iters left: 5 (33 enodes) 10.690 * * [simplify]: iters left: 4 (51 enodes) 10.698 * * [simplify]: iters left: 3 (68 enodes) 10.707 * * [simplify]: iters left: 2 (73 enodes) 10.725 * * [simplify]: Extracting #0: cost 1 inf + 0 10.725 * * [simplify]: Extracting #1: cost 12 inf + 0 10.725 * * [simplify]: Extracting #2: cost 21 inf + 3 10.726 * * [simplify]: Extracting #3: cost 21 inf + 337 10.726 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.727 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.729 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.729 * [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))) 10.729 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.729 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.729 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 10.729 * * [simplify]: iters left: 6 (14 enodes) 10.737 * * [simplify]: iters left: 5 (54 enodes) 10.747 * * [simplify]: iters left: 4 (119 enodes) 10.795 * * [simplify]: iters left: 3 (457 enodes) 11.278 * * [simplify]: Extracting #0: cost 1 inf + 0 11.278 * * [simplify]: Extracting #1: cost 87 inf + 0 11.281 * * [simplify]: Extracting #2: cost 441 inf + 0 11.286 * * [simplify]: Extracting #3: cost 435 inf + 3488 11.302 * * [simplify]: Extracting #4: cost 350 inf + 25733 11.331 * * [simplify]: Extracting #5: cost 181 inf + 99937 11.378 * * [simplify]: Extracting #6: cost 13 inf + 179498 11.453 * * [simplify]: Extracting #7: cost 0 inf + 185853 11.536 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 11.536 * [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))) 11.536 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.536 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 11.537 * * [simplify]: iters left: 6 (18 enodes) 11.546 * * [simplify]: iters left: 5 (62 enodes) 11.558 * * [simplify]: iters left: 4 (132 enodes) 11.594 * * [simplify]: iters left: 3 (478 enodes) 12.538 * * [simplify]: Extracting #0: cost 1 inf + 0 12.538 * * [simplify]: Extracting #1: cost 82 inf + 0 12.549 * * [simplify]: Extracting #2: cost 445 inf + 0 12.554 * * [simplify]: Extracting #3: cost 428 inf + 6272 12.563 * * [simplify]: Extracting #4: cost 350 inf + 27083 12.591 * * [simplify]: Extracting #5: cost 195 inf + 92277 12.651 * * [simplify]: Extracting #6: cost 8 inf + 176798 12.730 * * [simplify]: Extracting #7: cost 0 inf + 179724 12.809 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 12.809 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 12.809 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 12.809 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.809 * * [simplify]: iters left: 6 (18 enodes) 12.814 * * [simplify]: iters left: 5 (75 enodes) 12.828 * * [simplify]: iters left: 4 (150 enodes) 12.874 * * [simplify]: iters left: 3 (441 enodes) 13.293 * * [simplify]: Extracting #0: cost 1 inf + 0 13.293 * * [simplify]: Extracting #1: cost 83 inf + 0 13.296 * * [simplify]: Extracting #2: cost 392 inf + 0 13.301 * * [simplify]: Extracting #3: cost 353 inf + 11476 13.309 * * [simplify]: Extracting #4: cost 305 inf + 24860 13.334 * * [simplify]: Extracting #5: cost 144 inf + 93825 13.380 * * [simplify]: Extracting #6: cost 4 inf + 152810 13.422 * * [simplify]: Extracting #7: cost 0 inf + 148235 13.470 * * [simplify]: Extracting #8: cost 0 inf + 147415 13.511 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 13.511 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 13.511 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 13.512 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 13.512 * * [simplify]: iters left: 6 (18 enodes) 13.517 * * [simplify]: iters left: 5 (73 enodes) 13.531 * * [simplify]: iters left: 4 (158 enodes) 13.598 * * [simplify]: iters left: 3 (401 enodes) 13.851 * * [simplify]: Extracting #0: cost 1 inf + 0 13.852 * * [simplify]: Extracting #1: cost 75 inf + 0 13.854 * * [simplify]: Extracting #2: cost 294 inf + 0 13.856 * * [simplify]: Extracting #3: cost 333 inf + 1095 13.861 * * [simplify]: Extracting #4: cost 297 inf + 8726 13.873 * * [simplify]: Extracting #5: cost 207 inf + 35649 13.917 * * [simplify]: Extracting #6: cost 32 inf + 113007 13.965 * * [simplify]: Extracting #7: cost 3 inf + 120686 14.013 * * [simplify]: Extracting #8: cost 0 inf + 119948 14.054 * * [simplify]: Extracting #9: cost 0 inf + 119908 14.079 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 14.079 * [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))) 14.080 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 14.080 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 14.080 * * [simplify]: iters left: 6 (18 enodes) 14.090 * * [simplify]: iters left: 5 (63 enodes) 14.111 * * [simplify]: iters left: 4 (128 enodes) 14.150 * * [simplify]: iters left: 3 (467 enodes) 14.614 * * [simplify]: Extracting #0: cost 1 inf + 0 14.614 * * [simplify]: Extracting #1: cost 87 inf + 0 14.616 * * [simplify]: Extracting #2: cost 459 inf + 0 14.619 * * [simplify]: Extracting #3: cost 444 inf + 6063 14.623 * * [simplify]: Extracting #4: cost 367 inf + 26781 14.653 * * [simplify]: Extracting #5: cost 208 inf + 91682 14.703 * * [simplify]: Extracting #6: cost 16 inf + 181307 14.770 * * [simplify]: Extracting #7: cost 0 inf + 189267 14.825 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 14.825 * [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))) 14.825 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 14.825 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 14.825 * * [simplify]: iters left: 6 (13 enodes) 14.833 * * [simplify]: iters left: 5 (52 enodes) 14.844 * * [simplify]: iters left: 4 (107 enodes) 14.875 * * [simplify]: iters left: 3 (365 enodes) 15.248 * * [simplify]: Extracting #0: cost 1 inf + 0 15.249 * * [simplify]: Extracting #1: cost 73 inf + 0 15.250 * * [simplify]: Extracting #2: cost 366 inf + 0 15.252 * * [simplify]: Extracting #3: cost 356 inf + 3306 15.255 * * [simplify]: Extracting #4: cost 311 inf + 14304 15.263 * * [simplify]: Extracting #5: cost 182 inf + 63744 15.307 * * [simplify]: Extracting #6: cost 3 inf + 143874 15.350 * * [simplify]: Extracting #7: cost 0 inf + 144974 15.383 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 15.383 * [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))) 15.383 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 15.384 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 15.384 * * [simplify]: iters left: 6 (16 enodes) 15.389 * * [simplify]: iters left: 5 (63 enodes) 15.411 * * [simplify]: iters left: 4 (135 enodes) 15.473 * * [simplify]: iters left: 3 (409 enodes) 15.798 * * [simplify]: Extracting #0: cost 1 inf + 0 15.798 * * [simplify]: Extracting #1: cost 70 inf + 0 15.801 * * [simplify]: Extracting #2: cost 384 inf + 0 15.805 * * [simplify]: Extracting #3: cost 371 inf + 5484 15.813 * * [simplify]: Extracting #4: cost 306 inf + 22123 15.825 * * [simplify]: Extracting #5: cost 174 inf + 73482 15.857 * * [simplify]: Extracting #6: cost 9 inf + 144143 15.888 * * [simplify]: Extracting #7: cost 0 inf + 144938 15.918 * * [simplify]: Extracting #8: cost 0 inf + 144748 15.950 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 15.950 * [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))) 15.950 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.950 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 15.950 * * [simplify]: iters left: 6 (16 enodes) 15.955 * * [simplify]: iters left: 5 (67 enodes) 15.968 * * [simplify]: iters left: 4 (136 enodes) 16.022 * * [simplify]: iters left: 3 (364 enodes) 16.228 * * [simplify]: Extracting #0: cost 1 inf + 0 16.228 * * [simplify]: Extracting #1: cost 62 inf + 0 16.229 * * [simplify]: Extracting #2: cost 325 inf + 0 16.231 * * [simplify]: Extracting #3: cost 344 inf + 4236 16.233 * * [simplify]: Extracting #4: cost 302 inf + 14346 16.242 * * [simplify]: Extracting #5: cost 171 inf + 62575 16.270 * * [simplify]: Extracting #6: cost 9 inf + 127185 16.323 * * [simplify]: Extracting #7: cost 0 inf + 124566 16.370 * * [simplify]: Extracting #8: cost 0 inf + 124346 16.395 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 16.395 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.395 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 16.395 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 16.395 * * [simplify]: iters left: 6 (18 enodes) 16.404 * * [simplify]: iters left: 5 (75 enodes) 16.417 * * [simplify]: iters left: 4 (153 enodes) 16.482 * * [simplify]: iters left: 3 (475 enodes) 16.925 * * [simplify]: Extracting #0: cost 1 inf + 0 16.925 * * [simplify]: Extracting #1: cost 84 inf + 0 16.928 * * [simplify]: Extracting #2: cost 434 inf + 0 16.935 * * [simplify]: Extracting #3: cost 400 inf + 11081 16.943 * * [simplify]: Extracting #4: cost 349 inf + 23822 16.962 * * [simplify]: Extracting #5: cost 211 inf + 78498 17.004 * * [simplify]: Extracting #6: cost 13 inf + 162504 17.054 * * [simplify]: Extracting #7: cost 0 inf + 165480 17.096 * * [simplify]: Extracting #8: cost 0 inf + 165120 17.144 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.144 * [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))) 17.144 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 17.145 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 17.145 * * [simplify]: iters left: 6 (16 enodes) 17.149 * * [simplify]: iters left: 5 (63 enodes) 17.171 * * [simplify]: iters left: 4 (131 enodes) 17.203 * * [simplify]: iters left: 3 (400 enodes) 17.572 * * [simplify]: Extracting #0: cost 1 inf + 0 17.573 * * [simplify]: Extracting #1: cost 73 inf + 0 17.574 * * [simplify]: Extracting #2: cost 360 inf + 0 17.576 * * [simplify]: Extracting #3: cost 368 inf + 1570 17.579 * * [simplify]: Extracting #4: cost 284 inf + 22316 17.588 * * [simplify]: Extracting #5: cost 181 inf + 60735 17.642 * * [simplify]: Extracting #6: cost 16 inf + 128257 17.700 * * [simplify]: Extracting #7: cost 0 inf + 132824 17.744 * * [simplify]: Extracting #8: cost 0 inf + 132754 17.793 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 17.793 * [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))) 17.793 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 17.793 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 17.793 * * [simplify]: iters left: 6 (12 enodes) 17.801 * * [simplify]: iters left: 5 (49 enodes) 17.817 * * [simplify]: iters left: 4 (96 enodes) 17.844 * * [simplify]: iters left: 3 (241 enodes) 18.006 * * [simplify]: Extracting #0: cost 1 inf + 0 18.007 * * [simplify]: Extracting #1: cost 49 inf + 0 18.008 * * [simplify]: Extracting #2: cost 251 inf + 0 18.010 * * [simplify]: Extracting #3: cost 249 inf + 1539 18.013 * * [simplify]: Extracting #4: cost 212 inf + 9334 18.018 * * [simplify]: Extracting #5: cost 194 inf + 13677 18.024 * * [simplify]: Extracting #6: cost 164 inf + 24866 18.040 * * [simplify]: Extracting #7: cost 45 inf + 75345 18.057 * * [simplify]: Extracting #8: cost 2 inf + 93245 18.075 * * [simplify]: Extracting #9: cost 0 inf + 93841 18.106 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 18.106 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 18.106 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 18.107 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 18.107 * * [simplify]: iters left: 6 (14 enodes) 18.111 * * [simplify]: iters left: 5 (54 enodes) 18.121 * * [simplify]: iters left: 4 (109 enodes) 18.148 * * [simplify]: iters left: 3 (265 enodes) 18.279 * * [simplify]: Extracting #0: cost 1 inf + 0 18.279 * * [simplify]: Extracting #1: cost 49 inf + 0 18.281 * * [simplify]: Extracting #2: cost 242 inf + 0 18.282 * * [simplify]: Extracting #3: cost 259 inf + 523 18.286 * * [simplify]: Extracting #4: cost 212 inf + 10345 18.293 * * [simplify]: Extracting #5: cost 159 inf + 24153 18.318 * * [simplify]: Extracting #6: cost 18 inf + 79713 18.351 * * [simplify]: Extracting #7: cost 0 inf + 86997 18.384 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.384 * [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))) 18.384 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 18.385 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 18.385 * * [simplify]: iters left: 6 (18 enodes) 18.394 * * [simplify]: iters left: 5 (73 enodes) 18.418 * * [simplify]: iters left: 4 (156 enodes) 18.453 * * [simplify]: iters left: 3 (366 enodes) 18.666 * * [simplify]: Extracting #0: cost 1 inf + 0 18.667 * * [simplify]: Extracting #1: cost 81 inf + 0 18.668 * * [simplify]: Extracting #2: cost 315 inf + 0 18.670 * * [simplify]: Extracting #3: cost 336 inf + 1721 18.675 * * [simplify]: Extracting #4: cost 282 inf + 12964 18.684 * * [simplify]: Extracting #5: cost 226 inf + 27763 18.713 * * [simplify]: Extracting #6: cost 44 inf + 102658 18.737 * * [simplify]: Extracting #7: cost 0 inf + 118994 18.775 * * [simplify]: Extracting #8: cost 0 inf + 118854 18.803 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.803 * [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))) 18.804 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 18.804 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 18.804 * * [simplify]: iters left: 6 (16 enodes) 18.813 * * [simplify]: iters left: 5 (67 enodes) 18.836 * * [simplify]: iters left: 4 (134 enodes) 18.888 * * [simplify]: iters left: 3 (341 enodes) 19.065 * * [simplify]: Extracting #0: cost 1 inf + 0 19.066 * * [simplify]: Extracting #1: cost 69 inf + 0 19.067 * * [simplify]: Extracting #2: cost 344 inf + 0 19.069 * * [simplify]: Extracting #3: cost 365 inf + 1843 19.071 * * [simplify]: Extracting #4: cost 320 inf + 11850 19.082 * * [simplify]: Extracting #5: cost 166 inf + 66434 19.123 * * [simplify]: Extracting #6: cost 7 inf + 128209 19.149 * * [simplify]: Extracting #7: cost 0 inf + 129716 19.197 * * [simplify]: Extracting #8: cost 0 inf + 129576 19.250 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.250 * [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))) 19.250 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 19.250 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 19.251 * * [simplify]: iters left: 6 (14 enodes) 19.258 * * [simplify]: iters left: 5 (54 enodes) 19.276 * * [simplify]: iters left: 4 (106 enodes) 19.297 * * [simplify]: iters left: 3 (231 enodes) 19.376 * * [simplify]: Extracting #0: cost 1 inf + 0 19.376 * * [simplify]: Extracting #1: cost 64 inf + 0 19.377 * * [simplify]: Extracting #2: cost 246 inf + 0 19.379 * * [simplify]: Extracting #3: cost 259 inf + 560 19.382 * * [simplify]: Extracting #4: cost 218 inf + 8763 19.389 * * [simplify]: Extracting #5: cost 148 inf + 29077 19.410 * * [simplify]: Extracting #6: cost 27 inf + 76331 19.429 * * [simplify]: Extracting #7: cost 0 inf + 87431 19.446 * * [simplify]: Extracting #8: cost 0 inf + 87391 19.463 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.463 * [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))) 19.463 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 19.463 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 19.464 * * [simplify]: iters left: 6 (11 enodes) 19.470 * * [simplify]: iters left: 5 (42 enodes) 19.484 * * [simplify]: iters left: 4 (79 enodes) 19.499 * * [simplify]: iters left: 3 (176 enodes) 19.552 * * [simplify]: iters left: 2 (491 enodes) 19.930 * * [simplify]: Extracting #0: cost 1 inf + 0 19.930 * * [simplify]: Extracting #1: cost 79 inf + 0 19.933 * * [simplify]: Extracting #2: cost 424 inf + 0 19.937 * * [simplify]: Extracting #3: cost 434 inf + 1374 19.944 * * [simplify]: Extracting #4: cost 365 inf + 15165 19.965 * * [simplify]: Extracting #5: cost 222 inf + 60738 20.020 * * [simplify]: Extracting #6: cost 20 inf + 142135 20.071 * * [simplify]: Extracting #7: cost 0 inf + 147485 20.121 * * [simplify]: Extracting #8: cost 0 inf + 147405 20.169 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 20.169 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 20.169 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 20.169 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 20.169 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 20.170 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 20.170 * * [simplify]: iters left: 6 (18 enodes) 20.177 * * [simplify]: iters left: 5 (81 enodes) 20.198 * * [simplify]: iters left: 4 (297 enodes) 20.680 * * [simplify]: Extracting #0: cost 1 inf + 0 20.681 * * [simplify]: Extracting #1: cost 317 inf + 0 20.685 * * [simplify]: Extracting #2: cost 1360 inf + 1186 20.694 * * [simplify]: Extracting #3: cost 1159 inf + 28787 20.705 * * [simplify]: Extracting #4: cost 1067 inf + 46078 20.717 * * [simplify]: Extracting #5: cost 1058 inf + 48222 20.762 * * [simplify]: Extracting #6: cost 700 inf + 217292 20.900 * * [simplify]: Extracting #7: cost 50 inf + 478678 21.093 * * [simplify]: Extracting #8: cost 0 inf + 450895 21.302 * * [simplify]: Extracting #9: cost 0 inf + 450215 21.459 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 21.459 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 21.459 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 21.460 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 21.460 * * [simplify]: iters left: 6 (23 enodes) 21.477 * * [simplify]: iters left: 5 (116 enodes) 21.539 * * [simplify]: iters left: 4 (394 enodes) 22.539 * * [simplify]: Extracting #0: cost 1 inf + 0 22.540 * * [simplify]: Extracting #1: cost 305 inf + 0 22.549 * * [simplify]: Extracting #2: cost 1687 inf + 1266 22.569 * * [simplify]: Extracting #3: cost 1524 inf + 28963 22.601 * * [simplify]: Extracting #4: cost 1425 inf + 42935 22.666 * * [simplify]: Extracting #5: cost 1007 inf + 187192 22.837 * * [simplify]: Extracting #6: cost 91 inf + 536933 23.051 * * [simplify]: Extracting #7: cost 0 inf + 555816 23.263 * * [simplify]: Extracting #8: cost 0 inf + 555016 23.471 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 23.471 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 23.471 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 23.471 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 23.471 * * [simplify]: iters left: 6 (23 enodes) 23.479 * * [simplify]: iters left: 5 (117 enodes) 23.539 * * [simplify]: Extracting #0: cost 1 inf + 0 23.539 * * [simplify]: Extracting #1: cost 57 inf + 0 23.540 * * [simplify]: Extracting #2: cost 198 inf + 1 23.541 * * [simplify]: Extracting #3: cost 196 inf + 1963 23.542 * * [simplify]: Extracting #4: cost 175 inf + 4048 23.544 * * [simplify]: Extracting #5: cost 138 inf + 14158 23.553 * * [simplify]: Extracting #6: cost 38 inf + 45666 23.565 * * [simplify]: Extracting #7: cost 0 inf + 59703 23.580 * * [simplify]: Extracting #8: cost 0 inf + 58861 23.592 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 23.592 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 23.592 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 23.593 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 23.593 * * [simplify]: iters left: 6 (23 enodes) 23.601 * * [simplify]: iters left: 5 (110 enodes) 23.651 * * [simplify]: iters left: 4 (408 enodes) 24.360 * * [simplify]: Extracting #0: cost 1 inf + 0 24.361 * * [simplify]: Extracting #1: cost 349 inf + 0 24.365 * * [simplify]: Extracting #2: cost 1362 inf + 253 24.378 * * [simplify]: Extracting #3: cost 1372 inf + 8215 24.395 * * [simplify]: Extracting #4: cost 1293 inf + 19441 24.447 * * [simplify]: Extracting #5: cost 942 inf + 149702 24.648 * * [simplify]: Extracting #6: cost 118 inf + 513336 24.890 * * [simplify]: Extracting #7: cost 0 inf + 530464 25.037 * * [simplify]: Extracting #8: cost 0 inf + 526424 25.225 * * [simplify]: Extracting #9: cost 0 inf + 526264 25.474 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 25.474 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 25.475 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 25.475 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 25.476 * * [simplify]: iters left: 6 (23 enodes) 25.486 * * [simplify]: iters left: 5 (116 enodes) 25.534 * * [simplify]: iters left: 4 (400 enodes) 26.899 * * [simplify]: Extracting #0: cost 1 inf + 0 26.900 * * [simplify]: Extracting #1: cost 338 inf + 0 26.907 * * [simplify]: Extracting #2: cost 1775 inf + 1305 26.918 * * [simplify]: Extracting #3: cost 1631 inf + 26639 26.931 * * [simplify]: Extracting #4: cost 1492 inf + 45349 27.001 * * [simplify]: Extracting #5: cost 991 inf + 264110 27.183 * * [simplify]: Extracting #6: cost 19 inf + 641565 27.413 * * [simplify]: Extracting #7: cost 0 inf + 581792 27.615 * * [simplify]: Extracting #8: cost 0 inf + 581352 27.814 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 27.814 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (* (cos (/ K 2)) J))) 27.814 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 27.815 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 27.815 * * [simplify]: iters left: 6 (16 enodes) 27.826 * * [simplify]: iters left: 5 (79 enodes) 27.846 * * [simplify]: iters left: 4 (300 enodes) 28.419 * * [simplify]: Extracting #0: cost 1 inf + 0 28.420 * * [simplify]: Extracting #1: cost 276 inf + 0 28.427 * * [simplify]: Extracting #2: cost 1222 inf + 1113 28.441 * * [simplify]: Extracting #3: cost 1095 inf + 16811 28.457 * * [simplify]: Extracting #4: cost 1061 inf + 20800 28.509 * * [simplify]: Extracting #5: cost 657 inf + 183765 28.627 * * [simplify]: Extracting #6: cost 22 inf + 410882 28.766 * * [simplify]: Extracting #7: cost 0 inf + 405405 28.915 * * [simplify]: Extracting #8: cost 0 inf + 405114 29.109 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 29.109 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 29.109 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 29.110 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 29.110 * * [simplify]: iters left: 6 (20 enodes) 29.124 * * [simplify]: iters left: 5 (110 enodes) 29.178 * * [simplify]: iters left: 4 (486 enodes) 30.128 * * [simplify]: Extracting #0: cost 1 inf + 0 30.129 * * [simplify]: Extracting #1: cost 357 inf + 0 30.141 * * [simplify]: Extracting #2: cost 1671 inf + 4 30.158 * * [simplify]: Extracting #3: cost 1668 inf + 6826 30.179 * * [simplify]: Extracting #4: cost 1547 inf + 21334 30.230 * * [simplify]: Extracting #5: cost 1187 inf + 145252 30.419 * * [simplify]: Extracting #6: cost 120 inf + 563013 30.647 * * [simplify]: Extracting #7: cost 0 inf + 585634 30.868 * * [simplify]: Extracting #8: cost 0 inf + 584467 31.065 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 31.065 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 31.065 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 31.066 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 31.066 * * [simplify]: iters left: 6 (20 enodes) 31.080 * * [simplify]: iters left: 5 (104 enodes) 31.113 * * [simplify]: iters left: 4 (410 enodes) 31.709 * * [simplify]: Extracting #0: cost 1 inf + 0 31.710 * * [simplify]: Extracting #1: cost 320 inf + 0 31.713 * * [simplify]: Extracting #2: cost 1273 inf + 422 31.719 * * [simplify]: Extracting #3: cost 1300 inf + 5654 31.726 * * [simplify]: Extracting #4: cost 1233 inf + 13684 31.772 * * [simplify]: Extracting #5: cost 817 inf + 180631 31.910 * * [simplify]: Extracting #6: cost 86 inf + 457006 32.068 * * [simplify]: Extracting #7: cost 0 inf + 479132 32.232 * * [simplify]: Extracting #8: cost 0 inf + 478812 32.402 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 32.402 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 32.402 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 32.403 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 32.403 * * [simplify]: iters left: 6 (23 enodes) 32.411 * * [simplify]: iters left: 5 (117 enodes) 32.444 * * [simplify]: Extracting #0: cost 1 inf + 0 32.444 * * [simplify]: Extracting #1: cost 57 inf + 0 32.444 * * [simplify]: Extracting #2: cost 198 inf + 1 32.445 * * [simplify]: Extracting #3: cost 195 inf + 2086 32.446 * * [simplify]: Extracting #4: cost 174 inf + 4290 32.450 * * [simplify]: Extracting #5: cost 116 inf + 19820 32.470 * * [simplify]: Extracting #6: cost 12 inf + 57316 32.495 * * [simplify]: Extracting #7: cost 0 inf + 58322 32.520 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 32.520 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (* (cos (/ K 2)) J))) 32.520 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 32.521 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 32.521 * * [simplify]: iters left: 6 (20 enodes) 32.537 * * [simplify]: iters left: 5 (110 enodes) 32.584 * * [simplify]: iters left: 4 (486 enodes) 33.654 * * [simplify]: Extracting #0: cost 1 inf + 0 33.655 * * [simplify]: Extracting #1: cost 354 inf + 0 33.666 * * [simplify]: Extracting #2: cost 1732 inf + 947 33.685 * * [simplify]: Extracting #3: cost 1677 inf + 14777 34.103 * * [simplify]: Extracting #4: cost 1558 inf + 34201 34.249 * * [simplify]: Extracting #5: cost 538 inf + 431020 34.509 * * [simplify]: Extracting #6: cost 7 inf + 614791 34.749 * * [simplify]: Extracting #7: cost 0 inf + 600444 34.986 * * [simplify]: Extracting #8: cost 0 inf + 599228 35.223 * * [simplify]: Extracting #9: cost 0 inf + 599108 35.481 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 35.481 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J))) 35.482 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 35.482 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 35.482 * * [simplify]: iters left: 6 (14 enodes) 35.493 * * [simplify]: iters left: 5 (69 enodes) 35.529 * * [simplify]: iters left: 4 (284 enodes) 36.064 * * [simplify]: Extracting #0: cost 1 inf + 0 36.065 * * [simplify]: Extracting #1: cost 264 inf + 0 36.072 * * [simplify]: Extracting #2: cost 1048 inf + 621 36.090 * * [simplify]: Extracting #3: cost 1004 inf + 7706 36.102 * * [simplify]: Extracting #4: cost 992 inf + 8857 36.140 * * [simplify]: Extracting #5: cost 693 inf + 102376 36.273 * * [simplify]: Extracting #6: cost 68 inf + 348361 36.424 * * [simplify]: Extracting #7: cost 0 inf + 362304 36.555 * * [simplify]: Extracting #8: cost 0 inf + 360357 36.670 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 36.670 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 36.670 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 36.671 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 36.671 * * [simplify]: iters left: 6 (17 enodes) 36.677 * * [simplify]: iters left: 5 (87 enodes) 36.724 * * [simplify]: iters left: 4 (347 enodes) 37.440 * * [simplify]: Extracting #0: cost 1 inf + 0 37.440 * * [simplify]: Extracting #1: cost 232 inf + 0 37.447 * * [simplify]: Extracting #2: cost 1150 inf + 375 37.453 * * [simplify]: Extracting #3: cost 1098 inf + 7458 37.460 * * [simplify]: Extracting #4: cost 1069 inf + 11014 37.486 * * [simplify]: Extracting #5: cost 711 inf + 123503 37.628 * * [simplify]: Extracting #6: cost 36 inf + 371223 37.789 * * [simplify]: Extracting #7: cost 0 inf + 378721 37.930 * * [simplify]: Extracting #8: cost 0 inf + 378639 38.069 * [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))))) 38.069 * [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))) 38.070 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 38.070 * [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))))) 38.071 * * [simplify]: iters left: 6 (23 enodes) 38.088 * * [simplify]: iters left: 5 (110 enodes) 38.125 * * [simplify]: iters left: 4 (410 enodes) 38.787 * * [simplify]: Extracting #0: cost 1 inf + 0 38.789 * * [simplify]: Extracting #1: cost 359 inf + 0 38.797 * * [simplify]: Extracting #2: cost 1287 inf + 419 38.812 * * [simplify]: Extracting #3: cost 1261 inf + 9929 38.829 * * [simplify]: Extracting #4: cost 1180 inf + 21019 38.875 * * [simplify]: Extracting #5: cost 735 inf + 199153 39.029 * * [simplify]: Extracting #6: cost 8 inf + 499942 39.228 * * [simplify]: Extracting #7: cost 0 inf + 474987 39.374 * * [simplify]: Extracting #8: cost 0 inf + 473616 39.510 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 39.510 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 39.510 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 39.511 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 39.511 * * [simplify]: iters left: 6 (20 enodes) 39.524 * * [simplify]: iters left: 5 (104 enodes) 39.576 * * [simplify]: iters left: 4 (410 enodes) 40.186 * * [simplify]: Extracting #0: cost 1 inf + 0 40.187 * * [simplify]: Extracting #1: cost 333 inf + 0 40.195 * * [simplify]: Extracting #2: cost 1241 inf + 215 40.206 * * [simplify]: Extracting #3: cost 1232 inf + 5451 40.220 * * [simplify]: Extracting #4: cost 1158 inf + 14257 40.272 * * [simplify]: Extracting #5: cost 643 inf + 213569 40.421 * * [simplify]: Extracting #6: cost 28 inf + 452599 40.559 * * [simplify]: Extracting #7: cost 0 inf + 451462 40.704 * * [simplify]: Extracting #8: cost 0 inf + 451384 40.889 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 40.889 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 40.889 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 40.890 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 40.890 * * [simplify]: iters left: 6 (17 enodes) 40.900 * * [simplify]: iters left: 5 (87 enodes) 40.946 * * [simplify]: iters left: 4 (343 enodes) 41.630 * * [simplify]: Extracting #0: cost 1 inf + 0 41.631 * * [simplify]: Extracting #1: cost 233 inf + 0 41.638 * * [simplify]: Extracting #2: cost 1034 inf + 459 41.648 * * [simplify]: Extracting #3: cost 981 inf + 8158 41.659 * * [simplify]: Extracting #4: cost 963 inf + 10234 41.700 * * [simplify]: Extracting #5: cost 665 inf + 100602 41.804 * * [simplify]: Extracting #6: cost 35 inf + 335827 41.901 * * [simplify]: Extracting #7: cost 0 inf + 343092 42.012 * * [simplify]: Extracting #8: cost 0 inf + 342649 42.121 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 42.121 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.121 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 42.122 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 42.122 * * [simplify]: iters left: 6 (12 enodes) 42.126 * * [simplify]: iters left: 5 (55 enodes) 42.138 * * [simplify]: iters left: 4 (179 enodes) 42.330 * * [simplify]: Extracting #0: cost 1 inf + 0 42.330 * * [simplify]: Extracting #1: cost 111 inf + 0 42.332 * * [simplify]: Extracting #2: cost 476 inf + 4 42.334 * * [simplify]: Extracting #3: cost 509 inf + 1174 42.355 * * [simplify]: Extracting #4: cost 279 inf + 68658 42.429 * * [simplify]: Extracting #5: cost 18 inf + 157912 42.472 * * [simplify]: Extracting #6: cost 0 inf + 164075 42.536 * * [simplify]: Extracting #7: cost 0 inf + 164036 42.588 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 42.588 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 42.588 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 42.588 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 42.588 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 42.588 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 42.589 * [simplify]: Simplifying (* U U) 42.589 * * [simplify]: iters left: 2 (2 enodes) 42.589 * * [simplify]: iters left: 1 (6 enodes) 42.590 * * [simplify]: Extracting #0: cost 1 inf + 0 42.590 * * [simplify]: Extracting #1: cost 3 inf + 0 42.590 * * [simplify]: Extracting #2: cost 2 inf + 1 42.590 * * [simplify]: Extracting #3: cost 0 inf + 83 42.590 * [simplify]: Simplified to (* U U) 42.590 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.590 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 42.590 * * [simplify]: iters left: 6 (8 enodes) 42.593 * * [simplify]: iters left: 5 (36 enodes) 42.601 * * [simplify]: iters left: 4 (87 enodes) 42.620 * * [simplify]: iters left: 3 (207 enodes) 42.709 * * [simplify]: iters left: 2 (331 enodes) 42.832 * * [simplify]: iters left: 1 (343 enodes) 42.946 * * [simplify]: Extracting #0: cost 1 inf + 0 42.946 * * [simplify]: Extracting #1: cost 27 inf + 0 42.947 * * [simplify]: Extracting #2: cost 45 inf + 126 42.947 * * [simplify]: Extracting #3: cost 41 inf + 497 42.948 * * [simplify]: Extracting #4: cost 38 inf + 582 42.951 * * [simplify]: Extracting #5: cost 14 inf + 4770 42.955 * * [simplify]: Extracting #6: cost 0 inf + 7288 42.961 * * [simplify]: Extracting #7: cost 0 inf + 7248 42.966 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 42.966 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (* (cos (/ K 2)) J))) 42.966 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 42.966 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 42.967 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 42.967 * * [simplify]: iters left: 6 (12 enodes) 42.973 * * [simplify]: iters left: 5 (46 enodes) 42.988 * * [simplify]: iters left: 4 (68 enodes) 42.999 * * [simplify]: iters left: 3 (95 enodes) 43.015 * * [simplify]: iters left: 2 (144 enodes) 43.044 * * [simplify]: iters left: 1 (288 enodes) 43.145 * * [simplify]: Extracting #0: cost 1 inf + 0 43.146 * * [simplify]: Extracting #1: cost 71 inf + 0 43.146 * * [simplify]: Extracting #2: cost 140 inf + 46 43.148 * * [simplify]: Extracting #3: cost 128 inf + 636 43.149 * * [simplify]: Extracting #4: cost 111 inf + 2561 43.152 * * [simplify]: Extracting #5: cost 99 inf + 4759 43.163 * * [simplify]: Extracting #6: cost 26 inf + 35874 43.180 * * [simplify]: Extracting #7: cost 0 inf + 49849 43.189 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 43.189 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.189 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.189 * * [simplify]: iters left: 6 (11 enodes) 43.192 * * [simplify]: iters left: 5 (39 enodes) 43.199 * * [simplify]: iters left: 4 (57 enodes) 43.207 * * [simplify]: iters left: 3 (74 enodes) 43.224 * * [simplify]: iters left: 2 (79 enodes) 43.234 * * [simplify]: Extracting #0: cost 1 inf + 0 43.234 * * [simplify]: Extracting #1: cost 3 inf + 0 43.234 * * [simplify]: Extracting #2: cost 5 inf + 0 43.234 * * [simplify]: Extracting #3: cost 16 inf + 0 43.234 * * [simplify]: Extracting #4: cost 25 inf + 3 43.234 * * [simplify]: Extracting #5: cost 28 inf + 129 43.234 * * [simplify]: Extracting #6: cost 13 inf + 1889 43.235 * * [simplify]: Extracting #7: cost 3 inf + 3901 43.236 * * [simplify]: Extracting #8: cost 0 inf + 4410 43.237 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 43.237 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.237 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 43.237 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.237 * * [simplify]: iters left: 6 (11 enodes) 43.240 * * [simplify]: iters left: 5 (37 enodes) 43.246 * * [simplify]: iters left: 4 (56 enodes) 43.263 * * [simplify]: iters left: 3 (73 enodes) 43.273 * * [simplify]: iters left: 2 (78 enodes) 43.283 * * [simplify]: Extracting #0: cost 1 inf + 0 43.283 * * [simplify]: Extracting #1: cost 13 inf + 0 43.283 * * [simplify]: Extracting #2: cost 23 inf + 3 43.283 * * [simplify]: Extracting #3: cost 26 inf + 129 43.283 * * [simplify]: Extracting #4: cost 16 inf + 851 43.284 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.284 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.285 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.285 * [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))) 43.285 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.286 * * [simplify]: iters left: 6 (11 enodes) 43.288 * * [simplify]: iters left: 5 (37 enodes) 43.294 * * [simplify]: iters left: 4 (56 enodes) 43.305 * * [simplify]: iters left: 3 (73 enodes) 43.324 * * [simplify]: iters left: 2 (78 enodes) 43.342 * * [simplify]: Extracting #0: cost 1 inf + 0 43.342 * * [simplify]: Extracting #1: cost 13 inf + 0 43.343 * * [simplify]: Extracting #2: cost 23 inf + 3 43.343 * * [simplify]: Extracting #3: cost 26 inf + 129 43.343 * * [simplify]: Extracting #4: cost 16 inf + 851 43.344 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.346 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.347 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.347 * [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))) 43.347 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 43.348 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 43.348 * * [simplify]: iters left: 6 (6 enodes) 43.351 * * [simplify]: iters left: 5 (24 enodes) 43.360 * * [simplify]: iters left: 4 (46 enodes) 43.378 * * [simplify]: iters left: 3 (94 enodes) 43.414 * * [simplify]: iters left: 2 (156 enodes) 43.452 * * [simplify]: iters left: 1 (177 enodes) 43.495 * * [simplify]: Extracting #0: cost 1 inf + 0 43.495 * * [simplify]: Extracting #1: cost 29 inf + 0 43.496 * * [simplify]: Extracting #2: cost 44 inf + 452 43.497 * * [simplify]: Extracting #3: cost 11 inf + 5196 43.498 * * [simplify]: Extracting #4: cost 0 inf + 6946 43.500 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 43.500 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.500 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 43.500 * * [simplify]: iters left: 6 (10 enodes) 43.503 * * [simplify]: iters left: 5 (37 enodes) 43.509 * * [simplify]: iters left: 4 (67 enodes) 43.522 * * [simplify]: iters left: 3 (153 enodes) 43.572 * * [simplify]: iters left: 2 (259 enodes) 43.636 * * [simplify]: iters left: 1 (355 enodes) 43.744 * * [simplify]: Extracting #0: cost 1 inf + 0 43.744 * * [simplify]: Extracting #1: cost 36 inf + 0 43.744 * * [simplify]: Extracting #2: cost 69 inf + 1 43.745 * * [simplify]: Extracting #3: cost 67 inf + 287 43.745 * * [simplify]: Extracting #4: cost 53 inf + 1870 43.746 * * [simplify]: Extracting #5: cost 34 inf + 5949 43.749 * * [simplify]: Extracting #6: cost 5 inf + 13388 43.753 * * [simplify]: Extracting #7: cost 0 inf + 14706 43.757 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 43.757 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.757 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 43.757 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 43.757 * * [simplify]: iters left: 5 (5 enodes) 43.759 * * [simplify]: iters left: 4 (19 enodes) 43.762 * * [simplify]: iters left: 3 (27 enodes) 43.767 * * [simplify]: iters left: 2 (34 enodes) 43.776 * * [simplify]: iters left: 1 (43 enodes) 43.788 * * [simplify]: Extracting #0: cost 1 inf + 0 43.788 * * [simplify]: Extracting #1: cost 11 inf + 0 43.788 * * [simplify]: Extracting #2: cost 14 inf + 3 43.788 * * [simplify]: Extracting #3: cost 5 inf + 539 43.789 * * [simplify]: Extracting #4: cost 1 inf + 827 43.789 * * [simplify]: Extracting #5: cost 0 inf + 909 43.790 * [simplify]: Simplified to (/ U 4) 43.790 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.790 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 43.791 * * [simplify]: iters left: 6 (10 enodes) 43.796 * * [simplify]: iters left: 5 (37 enodes) 43.808 * * [simplify]: iters left: 4 (67 enodes) 43.833 * * [simplify]: iters left: 3 (146 enodes) 43.872 * * [simplify]: iters left: 2 (243 enodes) 43.941 * * [simplify]: iters left: 1 (344 enodes) 44.053 * * [simplify]: Extracting #0: cost 1 inf + 0 44.053 * * [simplify]: Extracting #1: cost 35 inf + 0 44.054 * * [simplify]: Extracting #2: cost 62 inf + 166 44.055 * * [simplify]: Extracting #3: cost 53 inf + 1108 44.057 * * [simplify]: Extracting #4: cost 32 inf + 4488 44.060 * * [simplify]: Extracting #5: cost 2 inf + 10914 44.063 * * [simplify]: Extracting #6: cost 0 inf + 11240 44.067 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 44.067 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.067 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 44.067 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 44.067 * * [simplify]: iters left: 4 (4 enodes) 44.071 * * [simplify]: iters left: 3 (20 enodes) 44.074 * * [simplify]: iters left: 2 (22 enodes) 44.077 * * [simplify]: Extracting #0: cost 1 inf + 0 44.077 * * [simplify]: Extracting #1: cost 0 inf + 1 44.077 * [simplify]: Simplified to 1/4 44.077 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.077 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 44.078 * * [simplify]: iters left: 6 (9 enodes) 44.080 * * [simplify]: iters left: 5 (34 enodes) 44.088 * * [simplify]: iters left: 4 (64 enodes) 44.111 * * [simplify]: iters left: 3 (148 enodes) 44.174 * * [simplify]: iters left: 2 (254 enodes) 44.280 * * [simplify]: iters left: 1 (351 enodes) 44.398 * * [simplify]: Extracting #0: cost 1 inf + 0 44.398 * * [simplify]: Extracting #1: cost 36 inf + 0 44.398 * * [simplify]: Extracting #2: cost 65 inf + 43 44.399 * * [simplify]: Extracting #3: cost 56 inf + 905 44.399 * * [simplify]: Extracting #4: cost 51 inf + 992 44.401 * * [simplify]: Extracting #5: cost 34 inf + 3846 44.404 * * [simplify]: Extracting #6: cost 1 inf + 10281 44.407 * * [simplify]: Extracting #7: cost 0 inf + 10464 44.411 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 44.411 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.411 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 44.411 * [simplify]: Simplifying (* 1 1) 44.411 * * [simplify]: iters left: 2 (2 enodes) 44.413 * * [simplify]: iters left: 1 (6 enodes) 44.415 * * [simplify]: Extracting #0: cost 1 inf + 0 44.415 * * [simplify]: Extracting #1: cost 0 inf + 1 44.415 * [simplify]: Simplified to 1 44.415 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.415 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 44.415 * * [simplify]: iters left: 6 (10 enodes) 44.420 * * [simplify]: iters left: 5 (40 enodes) 44.434 * * [simplify]: iters left: 4 (91 enodes) 44.469 * * [simplify]: iters left: 3 (345 enodes) 44.670 * * [simplify]: Extracting #0: cost 1 inf + 0 44.671 * * [simplify]: Extracting #1: cost 119 inf + 0 44.672 * * [simplify]: Extracting #2: cost 236 inf + 45 44.673 * * [simplify]: Extracting #3: cost 207 inf + 2474 44.679 * * [simplify]: Extracting #4: cost 104 inf + 22392 44.694 * * [simplify]: Extracting #5: cost 6 inf + 45410 44.722 * * [simplify]: Extracting #6: cost 0 inf + 46788 44.744 * * [simplify]: Extracting #7: cost 0 inf + 46787 44.758 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 44.759 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.759 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 44.759 * [simplify]: Simplifying (* U U) 44.759 * * [simplify]: iters left: 2 (2 enodes) 44.759 * * [simplify]: iters left: 1 (6 enodes) 44.761 * * [simplify]: Extracting #0: cost 1 inf + 0 44.761 * * [simplify]: Extracting #1: cost 3 inf + 0 44.761 * * [simplify]: Extracting #2: cost 2 inf + 1 44.761 * * [simplify]: Extracting #3: cost 0 inf + 83 44.761 * [simplify]: Simplified to (* U U) 44.761 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.762 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 44.762 * * [simplify]: iters left: 6 (10 enodes) 44.768 * * [simplify]: iters left: 5 (43 enodes) 44.787 * * [simplify]: iters left: 4 (82 enodes) 44.825 * * [simplify]: iters left: 3 (271 enodes) 45.040 * * [simplify]: Extracting #0: cost 1 inf + 0 45.041 * * [simplify]: Extracting #1: cost 72 inf + 0 45.042 * * [simplify]: Extracting #2: cost 165 inf + 90 45.044 * * [simplify]: Extracting #3: cost 151 inf + 1785 45.049 * * [simplify]: Extracting #4: cost 98 inf + 11781 45.061 * * [simplify]: Extracting #5: cost 3 inf + 32308 45.071 * * [simplify]: Extracting #6: cost 0 inf + 32858 45.080 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 45.081 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 45.081 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 45.081 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.081 * * [simplify]: iters left: 6 (11 enodes) 45.089 * * [simplify]: iters left: 5 (37 enodes) 45.100 * * [simplify]: iters left: 4 (56 enodes) 45.117 * * [simplify]: iters left: 3 (73 enodes) 45.136 * * [simplify]: iters left: 2 (78 enodes) 45.155 * * [simplify]: Extracting #0: cost 1 inf + 0 45.155 * * [simplify]: Extracting #1: cost 13 inf + 0 45.155 * * [simplify]: Extracting #2: cost 23 inf + 3 45.155 * * [simplify]: Extracting #3: cost 26 inf + 129 45.156 * * [simplify]: Extracting #4: cost 16 inf + 851 45.157 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.158 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.160 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.160 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 45.160 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.160 * * [simplify]: iters left: 6 (11 enodes) 45.166 * * [simplify]: iters left: 5 (37 enodes) 45.178 * * [simplify]: iters left: 4 (56 enodes) 45.194 * * [simplify]: iters left: 3 (73 enodes) 45.213 * * [simplify]: iters left: 2 (78 enodes) 45.230 * * [simplify]: Extracting #0: cost 1 inf + 0 45.230 * * [simplify]: Extracting #1: cost 13 inf + 0 45.230 * * [simplify]: Extracting #2: cost 23 inf + 3 45.231 * * [simplify]: Extracting #3: cost 26 inf + 129 45.231 * * [simplify]: Extracting #4: cost 16 inf + 851 45.231 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.232 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.233 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.233 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 45.233 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 45.233 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.233 * * [simplify]: iters left: 6 (9 enodes) 45.237 * * [simplify]: iters left: 5 (33 enodes) 45.243 * * [simplify]: iters left: 4 (51 enodes) 45.250 * * [simplify]: iters left: 3 (68 enodes) 45.262 * * [simplify]: iters left: 2 (73 enodes) 45.274 * * [simplify]: Extracting #0: cost 1 inf + 0 45.274 * * [simplify]: Extracting #1: cost 12 inf + 0 45.274 * * [simplify]: Extracting #2: cost 21 inf + 3 45.274 * * [simplify]: Extracting #3: cost 21 inf + 337 45.274 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.275 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.276 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.276 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J))) 45.276 * [simplify]: Simplifying (* 2 1) 45.276 * * [simplify]: iters left: 2 (3 enodes) 45.277 * * [simplify]: iters left: 1 (9 enodes) 45.279 * * [simplify]: Extracting #0: cost 1 inf + 0 45.279 * * [simplify]: Extracting #1: cost 0 inf + 1 45.279 * [simplify]: Simplified to 2 45.279 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 45.279 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 45.280 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.280 * * [simplify]: iters left: 6 (10 enodes) 45.282 * * [simplify]: iters left: 5 (36 enodes) 45.288 * * [simplify]: iters left: 4 (54 enodes) 45.297 * * [simplify]: iters left: 3 (71 enodes) 45.314 * * [simplify]: iters left: 2 (76 enodes) 45.324 * * [simplify]: Extracting #0: cost 1 inf + 0 45.324 * * [simplify]: Extracting #1: cost 3 inf + 0 45.324 * * [simplify]: Extracting #2: cost 14 inf + 0 45.324 * * [simplify]: Extracting #3: cost 23 inf + 3 45.324 * * [simplify]: Extracting #4: cost 24 inf + 295 45.324 * * [simplify]: Extracting #5: cost 9 inf + 2499 45.325 * * [simplify]: Extracting #6: cost 0 inf + 3722 45.326 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.326 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.326 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 45.326 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.326 * * [simplify]: iters left: 6 (10 enodes) 45.331 * * [simplify]: iters left: 5 (36 enodes) 45.336 * * [simplify]: iters left: 4 (54 enodes) 45.349 * * [simplify]: iters left: 3 (71 enodes) 45.362 * * [simplify]: iters left: 2 (76 enodes) 45.371 * * [simplify]: Extracting #0: cost 1 inf + 0 45.371 * * [simplify]: Extracting #1: cost 3 inf + 0 45.371 * * [simplify]: Extracting #2: cost 14 inf + 0 45.371 * * [simplify]: Extracting #3: cost 23 inf + 3 45.372 * * [simplify]: Extracting #4: cost 24 inf + 295 45.372 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.373 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.373 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.373 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.374 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 45.374 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 45.374 * * [simplify]: iters left: 6 (9 enodes) 45.376 * * [simplify]: iters left: 5 (30 enodes) 45.380 * * [simplify]: iters left: 4 (34 enodes) 45.387 * * [simplify]: iters left: 3 (36 enodes) 45.397 * * [simplify]: Extracting #0: cost 1 inf + 0 45.397 * * [simplify]: Extracting #1: cost 8 inf + 0 45.397 * * [simplify]: Extracting #2: cost 14 inf + 1 45.397 * * [simplify]: Extracting #3: cost 16 inf + 2 45.398 * * [simplify]: Extracting #4: cost 11 inf + 288 45.398 * * [simplify]: Extracting #5: cost 5 inf + 962 45.398 * * [simplify]: Extracting #6: cost 0 inf + 1958 45.399 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 45.399 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.399 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 45.400 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 45.400 * * [simplify]: iters left: 6 (9 enodes) 45.402 * * [simplify]: iters left: 5 (30 enodes) 45.406 * * [simplify]: iters left: 4 (34 enodes) 45.411 * * [simplify]: iters left: 3 (36 enodes) 45.416 * * [simplify]: Extracting #0: cost 1 inf + 0 45.416 * * [simplify]: Extracting #1: cost 8 inf + 0 45.417 * * [simplify]: Extracting #2: cost 14 inf + 1 45.417 * * [simplify]: Extracting #3: cost 16 inf + 2 45.417 * * [simplify]: Extracting #4: cost 11 inf + 168 45.417 * * [simplify]: Extracting #5: cost 5 inf + 762 45.417 * * [simplify]: Extracting #6: cost 0 inf + 1638 45.417 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 45.417 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.418 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 45.418 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 45.418 * * [simplify]: iters left: 6 (8 enodes) 45.420 * * [simplify]: iters left: 5 (27 enodes) 45.424 * * [simplify]: iters left: 4 (31 enodes) 45.431 * * [simplify]: iters left: 3 (33 enodes) 45.441 * * [simplify]: Extracting #0: cost 1 inf + 0 45.441 * * [simplify]: Extracting #1: cost 8 inf + 0 45.441 * * [simplify]: Extracting #2: cost 11 inf + 2 45.441 * * [simplify]: Extracting #3: cost 12 inf + 86 45.441 * * [simplify]: Extracting #4: cost 9 inf + 130 45.441 * * [simplify]: Extracting #5: cost 1 inf + 1132 45.442 * * [simplify]: Extracting #6: cost 0 inf + 1316 45.442 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 45.443 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.443 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 45.443 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.443 * * [simplify]: iters left: 6 (9 enodes) 45.448 * * [simplify]: iters left: 5 (33 enodes) 45.459 * * [simplify]: iters left: 4 (51 enodes) 45.474 * * [simplify]: iters left: 3 (68 enodes) 45.491 * * [simplify]: iters left: 2 (73 enodes) 45.502 * * [simplify]: Extracting #0: cost 1 inf + 0 45.503 * * [simplify]: Extracting #1: cost 12 inf + 0 45.503 * * [simplify]: Extracting #2: cost 21 inf + 3 45.503 * * [simplify]: Extracting #3: cost 21 inf + 337 45.503 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.504 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.504 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.504 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.504 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 45.505 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 45.505 * * [simplify]: iters left: 6 (9 enodes) 45.508 * * [simplify]: iters left: 5 (36 enodes) 45.514 * * [simplify]: iters left: 4 (56 enodes) 45.523 * * [simplify]: iters left: 3 (72 enodes) 45.542 * * [simplify]: iters left: 2 (76 enodes) 45.556 * * [simplify]: Extracting #0: cost 1 inf + 0 45.557 * * [simplify]: Extracting #1: cost 12 inf + 0 45.557 * * [simplify]: Extracting #2: cost 18 inf + 46 45.557 * * [simplify]: Extracting #3: cost 21 inf + 172 45.557 * * [simplify]: Extracting #4: cost 12 inf + 1055 45.557 * * [simplify]: Extracting #5: cost 2 inf + 2464 45.558 * * [simplify]: Extracting #6: cost 0 inf + 2789 45.559 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 45.559 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.559 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 45.559 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.559 * * [simplify]: iters left: 6 (11 enodes) 45.562 * * [simplify]: iters left: 5 (39 enodes) 45.569 * * [simplify]: iters left: 4 (57 enodes) 45.585 * * [simplify]: iters left: 3 (74 enodes) 45.599 * * [simplify]: iters left: 2 (79 enodes) 45.609 * * [simplify]: Extracting #0: cost 1 inf + 0 45.609 * * [simplify]: Extracting #1: cost 3 inf + 0 45.609 * * [simplify]: Extracting #2: cost 5 inf + 0 45.609 * * [simplify]: Extracting #3: cost 16 inf + 0 45.609 * * [simplify]: Extracting #4: cost 25 inf + 3 45.609 * * [simplify]: Extracting #5: cost 28 inf + 129 45.609 * * [simplify]: Extracting #6: cost 13 inf + 1889 45.610 * * [simplify]: Extracting #7: cost 3 inf + 3901 45.611 * * [simplify]: Extracting #8: cost 0 inf + 4410 45.611 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 45.611 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.612 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 45.612 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.612 * * [simplify]: iters left: 6 (10 enodes) 45.615 * * [simplify]: iters left: 5 (36 enodes) 45.621 * * [simplify]: iters left: 4 (54 enodes) 45.637 * * [simplify]: iters left: 3 (71 enodes) 45.650 * * [simplify]: iters left: 2 (76 enodes) 45.660 * * [simplify]: Extracting #0: cost 1 inf + 0 45.660 * * [simplify]: Extracting #1: cost 3 inf + 0 45.660 * * [simplify]: Extracting #2: cost 14 inf + 0 45.660 * * [simplify]: Extracting #3: cost 23 inf + 3 45.660 * * [simplify]: Extracting #4: cost 24 inf + 295 45.661 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.661 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.662 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.662 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.662 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 45.662 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 45.662 * * [simplify]: iters left: 5 (5 enodes) 45.664 * * [simplify]: iters left: 4 (17 enodes) 45.667 * * [simplify]: iters left: 3 (21 enodes) 45.670 * * [simplify]: iters left: 2 (24 enodes) 45.675 * * [simplify]: Extracting #0: cost 1 inf + 0 45.676 * * [simplify]: Extracting #1: cost 7 inf + 0 45.676 * * [simplify]: Extracting #2: cost 11 inf + 1 45.676 * * [simplify]: Extracting #3: cost 10 inf + 2 45.676 * * [simplify]: Extracting #4: cost 0 inf + 1218 45.676 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 45.676 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.677 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 45.677 * [simplify]: Simplifying (/ (sqrt U) 2) 45.677 * * [simplify]: iters left: 3 (4 enodes) 45.679 * * [simplify]: iters left: 2 (12 enodes) 45.683 * * [simplify]: Extracting #0: cost 1 inf + 0 45.683 * * [simplify]: Extracting #1: cost 4 inf + 0 45.683 * * [simplify]: Extracting #2: cost 5 inf + 1 45.683 * * [simplify]: Extracting #3: cost 4 inf + 2 45.683 * * [simplify]: Extracting #4: cost 0 inf + 248 45.684 * [simplify]: Simplified to (/ (sqrt U) 2) 45.684 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.684 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 45.684 * [simplify]: Simplifying (/ 1 2) 45.684 * * [simplify]: iters left: 2 (3 enodes) 45.687 * * [simplify]: iters left: 1 (12 enodes) 45.691 * * [simplify]: Extracting #0: cost 1 inf + 0 45.692 * * [simplify]: Extracting #1: cost 0 inf + 1 45.692 * [simplify]: Simplified to 1/2 45.692 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.692 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 45.692 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 45.692 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 45.692 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 45.692 * * [simplify]: iters left: 6 (7 enodes) 45.696 * * [simplify]: iters left: 5 (25 enodes) 45.704 * * [simplify]: iters left: 4 (33 enodes) 45.715 * * [simplify]: iters left: 3 (39 enodes) 45.724 * * [simplify]: Extracting #0: cost 1 inf + 0 45.725 * * [simplify]: Extracting #1: cost 8 inf + 0 45.725 * * [simplify]: Extracting #2: cost 11 inf + 2 45.725 * * [simplify]: Extracting #3: cost 12 inf + 44 45.725 * * [simplify]: Extracting #4: cost 10 inf + 87 45.725 * * [simplify]: Extracting #5: cost 4 inf + 660 45.725 * * [simplify]: Extracting #6: cost 1 inf + 1128 45.725 * * [simplify]: Extracting #7: cost 0 inf + 1311 45.726 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 45.726 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (* (cos (/ K 2)) J))) 45.726 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 45.726 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 45.726 * * [simplify]: iters left: 6 (10 enodes) 45.729 * * [simplify]: iters left: 5 (39 enodes) 45.735 * * [simplify]: iters left: 4 (75 enodes) 45.749 * * [simplify]: iters left: 3 (155 enodes) 45.802 * * [simplify]: iters left: 2 (223 enodes) 45.843 * * [simplify]: iters left: 1 (275 enodes) 45.940 * * [simplify]: Extracting #0: cost 1 inf + 0 45.940 * * [simplify]: Extracting #1: cost 34 inf + 0 45.941 * * [simplify]: Extracting #2: cost 56 inf + 128 45.942 * * [simplify]: Extracting #3: cost 42 inf + 1204 45.944 * * [simplify]: Extracting #4: cost 19 inf + 4613 45.946 * * [simplify]: Extracting #5: cost 0 inf + 8215 45.948 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 45.948 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 45.948 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))> 45.948 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 45.949 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 45.949 * [simplify]: Simplifying (* (cos (/ K 2)) J) 45.949 * * [simplify]: iters left: 5 (6 enodes) 45.951 * * [simplify]: iters left: 4 (19 enodes) 45.954 * * [simplify]: Extracting #0: cost 1 inf + 0 45.954 * * [simplify]: Extracting #1: cost 4 inf + 0 45.954 * * [simplify]: Extracting #2: cost 5 inf + 1 45.954 * * [simplify]: Extracting #3: cost 8 inf + 1 45.954 * * [simplify]: Extracting #4: cost 6 inf + 3 45.954 * * [simplify]: Extracting #5: cost 0 inf + 577 45.954 * [simplify]: Simplified to (* (cos (/ K 2)) J) 45.954 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (pow (* (cos (/ K 2)) J) 1))) 45.954 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 45.954 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 45.955 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 45.955 * * [simplify]: iters left: 6 (8 enodes) 45.957 * * [simplify]: iters left: 5 (25 enodes) 45.961 * * [simplify]: Extracting #0: cost 1 inf + 0 45.961 * * [simplify]: Extracting #1: cost 4 inf + 0 45.961 * * [simplify]: Extracting #2: cost 8 inf + 0 45.961 * * [simplify]: Extracting #3: cost 8 inf + 72 45.961 * * [simplify]: Extracting #4: cost 10 inf + 143 45.961 * * [simplify]: Extracting #5: cost 8 inf + 145 45.961 * * [simplify]: Extracting #6: cost 5 inf + 331 45.961 * * [simplify]: Extracting #7: cost 1 inf + 1060 45.961 * * [simplify]: Extracting #8: cost 0 inf + 1343 45.962 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 45.962 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (exp (+ (log J) (log (cos (/ K 2))))))) 45.962 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 45.962 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 45.962 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 45.962 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 45.962 * * [simplify]: iters left: 6 (10 enodes) 45.965 * * [simplify]: iters left: 5 (37 enodes) 45.973 * * [simplify]: iters left: 4 (66 enodes) 45.987 * * [simplify]: iters left: 3 (125 enodes) 46.026 * * [simplify]: iters left: 2 (196 enodes) 46.114 * * [simplify]: iters left: 1 (353 enodes) 46.267 * * [simplify]: Extracting #0: cost 1 inf + 0 46.267 * * [simplify]: Extracting #1: cost 51 inf + 0 46.268 * * [simplify]: Extracting #2: cost 146 inf + 124 46.269 * * [simplify]: Extracting #3: cost 153 inf + 460 46.272 * * [simplify]: Extracting #4: cost 133 inf + 4920 46.281 * * [simplify]: Extracting #5: cost 45 inf + 43385 46.295 * * [simplify]: Extracting #6: cost 4 inf + 66357 46.317 * * [simplify]: Extracting #7: cost 0 inf + 69278 46.332 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 46.333 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 46.333 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 46.333 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 46.333 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 46.333 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 46.333 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 46.333 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.333 * * [simplify]: iters left: 6 (8 enodes) 46.336 * * [simplify]: iters left: 5 (25 enodes) 46.339 * * [simplify]: Extracting #0: cost 1 inf + 0 46.339 * * [simplify]: Extracting #1: cost 4 inf + 0 46.339 * * [simplify]: Extracting #2: cost 8 inf + 0 46.340 * * [simplify]: Extracting #3: cost 8 inf + 42 46.340 * * [simplify]: Extracting #4: cost 10 inf + 83 46.340 * * [simplify]: Extracting #5: cost 8 inf + 85 46.340 * * [simplify]: Extracting #6: cost 5 inf + 271 46.340 * * [simplify]: Extracting #7: cost 1 inf + 880 46.340 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.340 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.340 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J))))) 46.341 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.341 * * [simplify]: iters left: 6 (8 enodes) 46.343 * * [simplify]: iters left: 5 (25 enodes) 46.347 * * [simplify]: Extracting #0: cost 1 inf + 0 46.347 * * [simplify]: Extracting #1: cost 4 inf + 0 46.347 * * [simplify]: Extracting #2: cost 8 inf + 0 46.347 * * [simplify]: Extracting #3: cost 8 inf + 42 46.347 * * [simplify]: Extracting #4: cost 10 inf + 83 46.347 * * [simplify]: Extracting #5: cost 8 inf + 85 46.347 * * [simplify]: Extracting #6: cost 5 inf + 271 46.347 * * [simplify]: Extracting #7: cost 1 inf + 880 46.347 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.348 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.348 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2))))))) 46.348 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 46.348 * [simplify]: Simplifying (cbrt J) 46.348 * * [simplify]: iters left: 1 (2 enodes) 46.348 * * [simplify]: Extracting #0: cost 1 inf + 0 46.348 * * [simplify]: Extracting #1: cost 3 inf + 0 46.348 * * [simplify]: Extracting #2: cost 2 inf + 1 46.349 * * [simplify]: Extracting #3: cost 0 inf + 163 46.349 * [simplify]: Simplified to (cbrt J) 46.349 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 46.349 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 46.349 * [simplify]: Simplifying (sqrt J) 46.349 * * [simplify]: iters left: 1 (2 enodes) 46.349 * * [simplify]: Extracting #0: cost 1 inf + 0 46.349 * * [simplify]: Extracting #1: cost 3 inf + 0 46.349 * * [simplify]: Extracting #2: cost 2 inf + 1 46.349 * * [simplify]: Extracting #3: cost 0 inf + 83 46.350 * [simplify]: Simplified to (sqrt J) 46.350 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (sqrt J)) (sqrt J)))) 46.350 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 46.350 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 46.350 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.350 * * [simplify]: iters left: 6 (6 enodes) 46.352 * * [simplify]: iters left: 5 (18 enodes) 46.354 * * [simplify]: Extracting #0: cost 1 inf + 0 46.355 * * [simplify]: Extracting #1: cost 3 inf + 0 46.355 * * [simplify]: Extracting #2: cost 5 inf + 0 46.355 * * [simplify]: Extracting #3: cost 7 inf + 0 46.355 * * [simplify]: Extracting #4: cost 10 inf + 0 46.355 * * [simplify]: Extracting #5: cost 8 inf + 2 46.355 * * [simplify]: Extracting #6: cost 0 inf + 1098 46.355 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.355 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 46.355 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 46.355 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 46.355 * * [simplify]: iters left: 4 (5 enodes) 46.357 * * [simplify]: iters left: 3 (15 enodes) 46.359 * * [simplify]: Extracting #0: cost 1 inf + 0 46.359 * * [simplify]: Extracting #1: cost 3 inf + 0 46.359 * * [simplify]: Extracting #2: cost 5 inf + 0 46.359 * * [simplify]: Extracting #3: cost 8 inf + 0 46.359 * * [simplify]: Extracting #4: cost 6 inf + 2 46.359 * * [simplify]: Extracting #5: cost 0 inf + 574 46.359 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 46.360 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J)))) 46.360 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 46.360 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 46.360 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 46.360 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 46.360 * [simplify]: Simplifying 1 46.360 * * [simplify]: iters left: 0 (1 enodes) 46.361 * * [simplify]: Extracting #0: cost 1 inf + 0 46.361 * * [simplify]: Extracting #1: cost 0 inf + 1 46.361 * [simplify]: Simplified to 1 46.361 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 46.361 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 46.362 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.362 * * [simplify]: iters left: 6 (9 enodes) 46.366 * * [simplify]: iters left: 5 (34 enodes) 46.378 * * [simplify]: iters left: 4 (56 enodes) 46.396 * * [simplify]: iters left: 3 (90 enodes) 46.422 * * [simplify]: iters left: 2 (114 enodes) 46.449 * * [simplify]: iters left: 1 (131 enodes) 46.467 * * [simplify]: Extracting #0: cost 1 inf + 0 46.468 * * [simplify]: Extracting #1: cost 22 inf + 0 46.468 * * [simplify]: Extracting #2: cost 37 inf + 3 46.468 * * [simplify]: Extracting #3: cost 31 inf + 380 46.469 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.471 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.473 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.475 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.475 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.475 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 46.476 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.476 * * [simplify]: iters left: 6 (9 enodes) 46.481 * * [simplify]: iters left: 5 (34 enodes) 46.493 * * [simplify]: iters left: 4 (56 enodes) 46.511 * * [simplify]: iters left: 3 (90 enodes) 46.538 * * [simplify]: iters left: 2 (114 enodes) 46.572 * * [simplify]: iters left: 1 (131 enodes) 46.606 * * [simplify]: Extracting #0: cost 1 inf + 0 46.606 * * [simplify]: Extracting #1: cost 22 inf + 0 46.606 * * [simplify]: Extracting #2: cost 37 inf + 3 46.607 * * [simplify]: Extracting #3: cost 31 inf + 380 46.607 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.608 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.609 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.610 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.610 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.610 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 46.611 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 46.611 * * [simplify]: iters left: 6 (10 enodes) 46.615 * * [simplify]: iters left: 5 (43 enodes) 46.623 * * [simplify]: iters left: 4 (79 enodes) 46.635 * * [simplify]: iters left: 3 (118 enodes) 46.658 * * [simplify]: iters left: 2 (171 enodes) 46.698 * * [simplify]: iters left: 1 (242 enodes) 46.756 * * [simplify]: Extracting #0: cost 1 inf + 0 46.756 * * [simplify]: Extracting #1: cost 6 inf + 0 46.756 * * [simplify]: Extracting #2: cost 41 inf + 0 46.757 * * [simplify]: Extracting #3: cost 56 inf + 213 46.759 * * [simplify]: Extracting #4: cost 20 inf + 2732 46.761 * * [simplify]: Extracting #5: cost 1 inf + 4576 46.764 * * [simplify]: Extracting #6: cost 0 inf + 4698 46.767 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 46.767 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 46.767 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 46.768 * [simplify]: Simplifying (* -1 U) 46.768 * * [simplify]: iters left: 2 (3 enodes) 46.770 * * [simplify]: iters left: 1 (11 enodes) 46.773 * * [simplify]: Extracting #0: cost 1 inf + 0 46.773 * * [simplify]: Extracting #1: cost 4 inf + 0 46.773 * * [simplify]: Extracting #2: cost 0 inf + 84 46.773 * [simplify]: Simplified to (- U) 46.773 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.773 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 46.774 * [simplify]: Simplifying (* -1 U) 46.774 * * [simplify]: iters left: 2 (3 enodes) 46.776 * * [simplify]: iters left: 1 (11 enodes) 46.779 * * [simplify]: Extracting #0: cost 1 inf + 0 46.779 * * [simplify]: Extracting #1: cost 4 inf + 0 46.779 * * [simplify]: Extracting #2: cost 0 inf + 84 46.779 * [simplify]: Simplified to (- U) 46.779 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.779 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 46.779 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 46.780 * * [simplify]: iters left: 6 (22 enodes) 46.794 * * [simplify]: iters left: 5 (98 enodes) 46.829 * * [simplify]: iters left: 4 (205 enodes) 46.911 * * [simplify]: Extracting #0: cost 1 inf + 0 46.911 * * [simplify]: Extracting #1: cost 8 inf + 0 46.911 * * [simplify]: Extracting #2: cost 99 inf + 0 46.912 * * [simplify]: Extracting #3: cost 194 inf + 251 46.916 * * [simplify]: Extracting #4: cost 104 inf + 10603 46.928 * * [simplify]: Extracting #5: cost 8 inf + 24728 46.934 * * [simplify]: Extracting #6: cost 0 inf + 25715 46.941 * * [simplify]: Extracting #7: cost 0 inf + 25355 46.948 * * [simplify]: Extracting #8: cost 0 inf + 25315 46.954 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 46.954 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (* (cos (/ K 2)) J))) 46.955 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 46.955 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 46.955 * * [simplify]: iters left: 6 (14 enodes) 46.963 * * [simplify]: iters left: 5 (60 enodes) 46.989 * * [simplify]: iters left: 4 (121 enodes) 47.026 * * [simplify]: iters left: 3 (401 enodes) 47.242 * * [simplify]: Extracting #0: cost 1 inf + 0 47.242 * * [simplify]: Extracting #1: cost 135 inf + 0 47.249 * * [simplify]: Extracting #2: cost 287 inf + 168 47.252 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.260 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.287 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.315 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.344 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.372 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.372 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.372 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 47.373 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 47.373 * * [simplify]: iters left: 6 (14 enodes) 47.382 * * [simplify]: iters left: 5 (60 enodes) 47.406 * * [simplify]: iters left: 4 (121 enodes) 47.438 * * [simplify]: iters left: 3 (401 enodes) 47.608 * * [simplify]: Extracting #0: cost 1 inf + 0 47.609 * * [simplify]: Extracting #1: cost 135 inf + 0 47.610 * * [simplify]: Extracting #2: cost 287 inf + 168 47.612 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.616 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.642 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.670 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.699 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.728 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.728 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.728 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 47.729 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 47.729 * * [simplify]: iters left: 6 (8 enodes) 47.734 * * [simplify]: iters left: 5 (35 enodes) 47.749 * * [simplify]: iters left: 4 (67 enodes) 47.772 * * [simplify]: iters left: 3 (133 enodes) 47.821 * * [simplify]: iters left: 2 (207 enodes) 47.884 * * [simplify]: iters left: 1 (230 enodes) 47.929 * * [simplify]: Extracting #0: cost 1 inf + 0 47.929 * * [simplify]: Extracting #1: cost 6 inf + 0 47.929 * * [simplify]: Extracting #2: cost 28 inf + 1 47.930 * * [simplify]: Extracting #3: cost 33 inf + 378 47.931 * * [simplify]: Extracting #4: cost 2 inf + 2884 47.934 * * [simplify]: Extracting #5: cost 0 inf + 3130 47.936 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 47.936 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (- J (* (* K K) (* J 1/8))))) 47.936 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 47.936 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.936 * * [simplify]: iters left: 5 (6 enodes) 47.940 * * [simplify]: iters left: 4 (20 enodes) 47.946 * * [simplify]: Extracting #0: cost 1 inf + 0 47.946 * * [simplify]: Extracting #1: cost 4 inf + 0 47.946 * * [simplify]: Extracting #2: cost 5 inf + 1 47.946 * * [simplify]: Extracting #3: cost 8 inf + 1 47.946 * * [simplify]: Extracting #4: cost 6 inf + 3 47.946 * * [simplify]: Extracting #5: cost 0 inf + 577 47.946 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.947 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.947 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 47.947 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.947 * * [simplify]: iters left: 5 (6 enodes) 47.950 * * [simplify]: iters left: 4 (20 enodes) 47.956 * * [simplify]: Extracting #0: cost 1 inf + 0 47.956 * * [simplify]: Extracting #1: cost 4 inf + 0 47.956 * * [simplify]: Extracting #2: cost 5 inf + 1 47.956 * * [simplify]: Extracting #3: cost 8 inf + 1 47.956 * * [simplify]: Extracting #4: cost 6 inf + 3 47.956 * * [simplify]: Extracting #5: cost 0 inf + 577 47.957 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.957 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.957 * * * [progress]: adding candidates to table 49.731 * * [progress]: iteration 2 / 4 49.731 * * * [progress]: picking best candidate 49.794 * * * * [pick]: Picked # 49.794 * * * [progress]: localizing error 49.841 * * * [progress]: generating rewritten candidates 49.841 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 49.972 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 51.147 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 51.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 2 2) 51.287 * * * [progress]: generating series expansions 51.288 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 51.288 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 51.288 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 51.288 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 51.288 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 51.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.288 * [taylor]: Taking taylor expansion of 1/4 in J 51.288 * [backup-simplify]: Simplify 1/4 into 1/4 51.288 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.288 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.288 * [taylor]: Taking taylor expansion of U in J 51.288 * [backup-simplify]: Simplify U into U 51.288 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.289 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.289 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.289 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.289 * [taylor]: Taking taylor expansion of 1/2 in J 51.289 * [backup-simplify]: Simplify 1/2 into 1/2 51.289 * [taylor]: Taking taylor expansion of K in J 51.289 * [backup-simplify]: Simplify K into K 51.289 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.289 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.289 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.289 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.289 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.290 * [backup-simplify]: Simplify (- 0) into 0 51.290 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.290 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.290 * [taylor]: Taking taylor expansion of J in J 51.290 * [backup-simplify]: Simplify 0 into 0 51.290 * [backup-simplify]: Simplify 1 into 1 51.290 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.290 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.291 * [backup-simplify]: Simplify (* 1 1) into 1 51.291 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.291 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.291 * [taylor]: Taking taylor expansion of 1 in J 51.291 * [backup-simplify]: Simplify 1 into 1 51.291 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.291 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.292 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 51.292 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.293 * [backup-simplify]: Simplify (+ 0) into 0 51.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.295 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.296 * [backup-simplify]: Simplify (- 0) into 0 51.296 * [backup-simplify]: Simplify (+ 0 0) into 0 51.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.297 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 51.297 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 51.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 51.298 * [backup-simplify]: Simplify (+ 0 0) into 0 51.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 51.298 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 51.298 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 51.298 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.299 * [taylor]: Taking taylor expansion of 1/4 in K 51.299 * [backup-simplify]: Simplify 1/4 into 1/4 51.299 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.299 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.299 * [taylor]: Taking taylor expansion of U in K 51.299 * [backup-simplify]: Simplify U into U 51.299 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.299 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.299 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.299 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.299 * [taylor]: Taking taylor expansion of 1/2 in K 51.299 * [backup-simplify]: Simplify 1/2 into 1/2 51.299 * [taylor]: Taking taylor expansion of K in K 51.299 * [backup-simplify]: Simplify 0 into 0 51.299 * [backup-simplify]: Simplify 1 into 1 51.299 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.300 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.300 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.300 * [taylor]: Taking taylor expansion of J in K 51.300 * [backup-simplify]: Simplify J into J 51.300 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.301 * [backup-simplify]: Simplify (* 1 1) into 1 51.301 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.301 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.301 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.301 * [taylor]: Taking taylor expansion of 1 in K 51.301 * [backup-simplify]: Simplify 1 into 1 51.301 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 51.301 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 51.302 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 51.302 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.302 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.302 * [backup-simplify]: Simplify (+ 0) into 0 51.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.304 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.304 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 51.305 * [backup-simplify]: Simplify (+ 0 0) into 0 51.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 51.305 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.305 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.305 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.305 * [taylor]: Taking taylor expansion of 1/4 in U 51.305 * [backup-simplify]: Simplify 1/4 into 1/4 51.305 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.305 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.305 * [taylor]: Taking taylor expansion of U in U 51.305 * [backup-simplify]: Simplify 0 into 0 51.305 * [backup-simplify]: Simplify 1 into 1 51.305 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.305 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.305 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.305 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.305 * [taylor]: Taking taylor expansion of 1/2 in U 51.305 * [backup-simplify]: Simplify 1/2 into 1/2 51.305 * [taylor]: Taking taylor expansion of K in U 51.305 * [backup-simplify]: Simplify K into K 51.305 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.306 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.306 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.306 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.306 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.306 * [backup-simplify]: Simplify (- 0) into 0 51.306 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.306 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.306 * [taylor]: Taking taylor expansion of J in U 51.306 * [backup-simplify]: Simplify J into J 51.307 * [backup-simplify]: Simplify (* 1 1) into 1 51.307 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.307 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.307 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.307 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.307 * [taylor]: Taking taylor expansion of 1 in U 51.307 * [backup-simplify]: Simplify 1 into 1 51.308 * [backup-simplify]: Simplify (+ 0 1) into 1 51.308 * [backup-simplify]: Simplify (sqrt 1) into 1 51.309 * [backup-simplify]: Simplify (+ 0 0) into 0 51.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.309 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.309 * [taylor]: Taking taylor expansion of 1/4 in U 51.309 * [backup-simplify]: Simplify 1/4 into 1/4 51.310 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.310 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.310 * [taylor]: Taking taylor expansion of U in U 51.310 * [backup-simplify]: Simplify 0 into 0 51.310 * [backup-simplify]: Simplify 1 into 1 51.310 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.310 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.310 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.310 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.310 * [taylor]: Taking taylor expansion of 1/2 in U 51.310 * [backup-simplify]: Simplify 1/2 into 1/2 51.310 * [taylor]: Taking taylor expansion of K in U 51.310 * [backup-simplify]: Simplify K into K 51.310 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.310 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.310 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.310 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.310 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.311 * [backup-simplify]: Simplify (- 0) into 0 51.311 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.311 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.311 * [taylor]: Taking taylor expansion of J in U 51.311 * [backup-simplify]: Simplify J into J 51.311 * [backup-simplify]: Simplify (* 1 1) into 1 51.311 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.311 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.312 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.312 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.312 * [taylor]: Taking taylor expansion of 1 in U 51.312 * [backup-simplify]: Simplify 1 into 1 51.312 * [backup-simplify]: Simplify (+ 0 1) into 1 51.313 * [backup-simplify]: Simplify (sqrt 1) into 1 51.313 * [backup-simplify]: Simplify (+ 0 0) into 0 51.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.314 * [taylor]: Taking taylor expansion of 1 in K 51.314 * [backup-simplify]: Simplify 1 into 1 51.314 * [taylor]: Taking taylor expansion of 1 in J 51.314 * [backup-simplify]: Simplify 1 into 1 51.314 * [taylor]: Taking taylor expansion of 0 in K 51.314 * [backup-simplify]: Simplify 0 into 0 51.314 * [taylor]: Taking taylor expansion of 0 in J 51.314 * [backup-simplify]: Simplify 0 into 0 51.314 * [taylor]: Taking taylor expansion of 0 in J 51.314 * [backup-simplify]: Simplify 0 into 0 51.314 * [backup-simplify]: Simplify 1 into 1 51.314 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.315 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.316 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.316 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.316 * [taylor]: Taking taylor expansion of 1/8 in K 51.316 * [backup-simplify]: Simplify 1/8 into 1/8 51.316 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.316 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.316 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.317 * [taylor]: Taking taylor expansion of 1/2 in K 51.317 * [backup-simplify]: Simplify 1/2 into 1/2 51.317 * [taylor]: Taking taylor expansion of K in K 51.317 * [backup-simplify]: Simplify 0 into 0 51.317 * [backup-simplify]: Simplify 1 into 1 51.317 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.318 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.318 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.318 * [taylor]: Taking taylor expansion of J in K 51.318 * [backup-simplify]: Simplify J into J 51.318 * [backup-simplify]: Simplify (* 1 1) into 1 51.318 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.318 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.318 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 51.319 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 51.319 * [taylor]: Taking taylor expansion of 1/8 in J 51.319 * [backup-simplify]: Simplify 1/8 into 1/8 51.319 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.319 * [taylor]: Taking taylor expansion of J in J 51.319 * [backup-simplify]: Simplify 0 into 0 51.319 * [backup-simplify]: Simplify 1 into 1 51.319 * [backup-simplify]: Simplify (* 1 1) into 1 51.320 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 51.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 51.320 * [backup-simplify]: Simplify 0 into 0 51.321 * [taylor]: Taking taylor expansion of 0 in J 51.321 * [backup-simplify]: Simplify 0 into 0 51.321 * [taylor]: Taking taylor expansion of 0 in J 51.321 * [backup-simplify]: Simplify 0 into 0 51.321 * [backup-simplify]: Simplify 0 into 0 51.321 * [backup-simplify]: Simplify 0 into 0 51.321 * [backup-simplify]: Simplify 0 into 0 51.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.321 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.321 * [backup-simplify]: Simplify (+ 0) into 0 51.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.323 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.323 * [backup-simplify]: Simplify (- 0) into 0 51.323 * [backup-simplify]: Simplify (+ 0 0) into 0 51.323 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.323 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.324 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.324 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.325 * [backup-simplify]: Simplify (+ 0 0) into 0 51.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 51.325 * [taylor]: Taking taylor expansion of 0 in K 51.325 * [backup-simplify]: Simplify 0 into 0 51.325 * [taylor]: Taking taylor expansion of 0 in J 51.325 * [backup-simplify]: Simplify 0 into 0 51.325 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.326 * [backup-simplify]: Simplify (+ 0) into 0 51.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.326 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 51.326 * [taylor]: Taking taylor expansion of 0 in J 51.326 * [backup-simplify]: Simplify 0 into 0 51.326 * [taylor]: Taking taylor expansion of 0 in J 51.326 * [backup-simplify]: Simplify 0 into 0 51.326 * [taylor]: Taking taylor expansion of 0 in J 51.326 * [backup-simplify]: Simplify 0 into 0 51.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.328 * [backup-simplify]: Simplify 0 into 0 51.328 * [backup-simplify]: Simplify 0 into 0 51.328 * [backup-simplify]: Simplify 1 into 1 51.328 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 51.328 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 51.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 51.328 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 51.328 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.328 * [taylor]: Taking taylor expansion of 1/4 in J 51.328 * [backup-simplify]: Simplify 1/4 into 1/4 51.328 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.328 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.328 * [taylor]: Taking taylor expansion of J in J 51.328 * [backup-simplify]: Simplify 0 into 0 51.328 * [backup-simplify]: Simplify 1 into 1 51.328 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.328 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.328 * [taylor]: Taking taylor expansion of U in J 51.328 * [backup-simplify]: Simplify U into U 51.328 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.328 * [taylor]: Taking taylor expansion of 1/2 in J 51.328 * [backup-simplify]: Simplify 1/2 into 1/2 51.328 * [taylor]: Taking taylor expansion of K in J 51.328 * [backup-simplify]: Simplify K into K 51.328 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.329 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.329 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.329 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.329 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.329 * [backup-simplify]: Simplify (- 0) into 0 51.329 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.329 * [backup-simplify]: Simplify (* 1 1) into 1 51.329 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.329 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.329 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.330 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.330 * [taylor]: Taking taylor expansion of 1 in J 51.330 * [backup-simplify]: Simplify 1 into 1 51.330 * [backup-simplify]: Simplify (+ 0 1) into 1 51.330 * [backup-simplify]: Simplify (sqrt 1) into 1 51.331 * [backup-simplify]: Simplify (+ 0 0) into 0 51.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 51.331 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 51.331 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.331 * [taylor]: Taking taylor expansion of 1/4 in K 51.331 * [backup-simplify]: Simplify 1/4 into 1/4 51.331 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.331 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.331 * [taylor]: Taking taylor expansion of J in K 51.331 * [backup-simplify]: Simplify J into J 51.331 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.331 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.332 * [taylor]: Taking taylor expansion of U in K 51.332 * [backup-simplify]: Simplify U into U 51.332 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.332 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.332 * [taylor]: Taking taylor expansion of 1/2 in K 51.332 * [backup-simplify]: Simplify 1/2 into 1/2 51.332 * [taylor]: Taking taylor expansion of K in K 51.332 * [backup-simplify]: Simplify 0 into 0 51.332 * [backup-simplify]: Simplify 1 into 1 51.332 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.332 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.332 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.332 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.332 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.332 * [taylor]: Taking taylor expansion of 1 in K 51.332 * [backup-simplify]: Simplify 1 into 1 51.333 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 51.333 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 51.333 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 51.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.333 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.333 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.334 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.334 * [backup-simplify]: Simplify (+ 0 0) into 0 51.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 51.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.335 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.335 * [taylor]: Taking taylor expansion of 1/4 in U 51.335 * [backup-simplify]: Simplify 1/4 into 1/4 51.335 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.335 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.335 * [taylor]: Taking taylor expansion of J in U 51.335 * [backup-simplify]: Simplify J into J 51.335 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.335 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.335 * [taylor]: Taking taylor expansion of U in U 51.335 * [backup-simplify]: Simplify 0 into 0 51.335 * [backup-simplify]: Simplify 1 into 1 51.335 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.335 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.335 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.335 * [taylor]: Taking taylor expansion of 1/2 in U 51.335 * [backup-simplify]: Simplify 1/2 into 1/2 51.335 * [taylor]: Taking taylor expansion of K in U 51.335 * [backup-simplify]: Simplify K into K 51.335 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.335 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.335 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.335 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.335 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.336 * [backup-simplify]: Simplify (- 0) into 0 51.336 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.336 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.336 * [backup-simplify]: Simplify (* 1 1) into 1 51.336 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.336 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.336 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.336 * [taylor]: Taking taylor expansion of 1 in U 51.336 * [backup-simplify]: Simplify 1 into 1 51.336 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.336 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.337 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.337 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.337 * [backup-simplify]: Simplify (+ 0) into 0 51.337 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.337 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.338 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.338 * [backup-simplify]: Simplify (- 0) into 0 51.339 * [backup-simplify]: Simplify (+ 0 0) into 0 51.339 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.340 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.340 * [backup-simplify]: Simplify (+ 0 0) into 0 51.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.341 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.341 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.341 * [taylor]: Taking taylor expansion of 1/4 in U 51.341 * [backup-simplify]: Simplify 1/4 into 1/4 51.341 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.341 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.341 * [taylor]: Taking taylor expansion of J in U 51.341 * [backup-simplify]: Simplify J into J 51.341 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.341 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.341 * [taylor]: Taking taylor expansion of U in U 51.341 * [backup-simplify]: Simplify 0 into 0 51.341 * [backup-simplify]: Simplify 1 into 1 51.341 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.341 * [taylor]: Taking taylor expansion of 1/2 in U 51.341 * [backup-simplify]: Simplify 1/2 into 1/2 51.341 * [taylor]: Taking taylor expansion of K in U 51.341 * [backup-simplify]: Simplify K into K 51.341 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.341 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.341 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.341 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.341 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.341 * [backup-simplify]: Simplify (- 0) into 0 51.341 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.341 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.342 * [backup-simplify]: Simplify (* 1 1) into 1 51.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.342 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.342 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.342 * [taylor]: Taking taylor expansion of 1 in U 51.342 * [backup-simplify]: Simplify 1 into 1 51.342 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.342 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.342 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.342 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.343 * [backup-simplify]: Simplify (+ 0) into 0 51.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.344 * [backup-simplify]: Simplify (- 0) into 0 51.344 * [backup-simplify]: Simplify (+ 0 0) into 0 51.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.345 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.346 * [backup-simplify]: Simplify (+ 0 0) into 0 51.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 51.346 * [taylor]: Taking taylor expansion of 1/2 in K 51.346 * [backup-simplify]: Simplify 1/2 into 1/2 51.346 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 51.346 * [taylor]: Taking taylor expansion of J in K 51.346 * [backup-simplify]: Simplify J into J 51.346 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.346 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.346 * [taylor]: Taking taylor expansion of 1/2 in K 51.346 * [backup-simplify]: Simplify 1/2 into 1/2 51.346 * [taylor]: Taking taylor expansion of K in K 51.346 * [backup-simplify]: Simplify 0 into 0 51.346 * [backup-simplify]: Simplify 1 into 1 51.347 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.347 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.347 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 51.347 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 51.347 * [taylor]: Taking taylor expansion of 1/2 in J 51.347 * [backup-simplify]: Simplify 1/2 into 1/2 51.347 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 51.347 * [taylor]: Taking taylor expansion of J in J 51.347 * [backup-simplify]: Simplify 0 into 0 51.347 * [backup-simplify]: Simplify 1 into 1 51.347 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.347 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.347 * [taylor]: Taking taylor expansion of 1/2 in J 51.347 * [backup-simplify]: Simplify 1/2 into 1/2 51.347 * [taylor]: Taking taylor expansion of K in J 51.347 * [backup-simplify]: Simplify K into K 51.347 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.347 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.347 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.347 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.347 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.348 * [backup-simplify]: Simplify (- 0) into 0 51.348 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.348 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 51.348 * [taylor]: Taking taylor expansion of 0 in K 51.348 * [backup-simplify]: Simplify 0 into 0 51.348 * [taylor]: Taking taylor expansion of 0 in J 51.348 * [backup-simplify]: Simplify 0 into 0 51.348 * [backup-simplify]: Simplify 0 into 0 51.348 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 51.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 51.348 * [taylor]: Taking taylor expansion of 0 in J 51.348 * [backup-simplify]: Simplify 0 into 0 51.348 * [backup-simplify]: Simplify 0 into 0 51.349 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 51.349 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 51.349 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.350 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.351 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.351 * [backup-simplify]: Simplify (- 0) into 0 51.352 * [backup-simplify]: Simplify (+ 0 0) into 0 51.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.353 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.354 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.354 * [backup-simplify]: Simplify (+ 0 1) into 1 51.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 51.355 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.355 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.355 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.355 * [taylor]: Taking taylor expansion of 1/2 in K 51.355 * [backup-simplify]: Simplify 1/2 into 1/2 51.355 * [taylor]: Taking taylor expansion of K in K 51.355 * [backup-simplify]: Simplify 0 into 0 51.355 * [backup-simplify]: Simplify 1 into 1 51.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.355 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.355 * [taylor]: Taking taylor expansion of J in K 51.355 * [backup-simplify]: Simplify J into J 51.355 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.355 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.355 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.355 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.355 * [taylor]: Taking taylor expansion of 1/2 in J 51.355 * [backup-simplify]: Simplify 1/2 into 1/2 51.356 * [taylor]: Taking taylor expansion of K in J 51.356 * [backup-simplify]: Simplify K into K 51.356 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.356 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.356 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.356 * [taylor]: Taking taylor expansion of J in J 51.356 * [backup-simplify]: Simplify 0 into 0 51.356 * [backup-simplify]: Simplify 1 into 1 51.356 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.356 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.356 * [backup-simplify]: Simplify (- 0) into 0 51.356 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.357 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.357 * [backup-simplify]: Simplify (+ 0) into 0 51.357 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.359 * [backup-simplify]: Simplify (- 0) into 0 51.360 * [backup-simplify]: Simplify (+ 0 0) into 0 51.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 51.361 * [backup-simplify]: Simplify 0 into 0 51.361 * [taylor]: Taking taylor expansion of 0 in J 51.361 * [backup-simplify]: Simplify 0 into 0 51.361 * [backup-simplify]: Simplify 0 into 0 51.361 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 51.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 51.362 * [taylor]: Taking taylor expansion of 0 in J 51.362 * [backup-simplify]: Simplify 0 into 0 51.362 * [backup-simplify]: Simplify 0 into 0 51.362 * [backup-simplify]: Simplify 0 into 0 51.362 * [backup-simplify]: Simplify 0 into 0 51.363 * [backup-simplify]: Simplify (+ 0) into 0 51.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.363 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.365 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.365 * [backup-simplify]: Simplify (- 0) into 0 51.365 * [backup-simplify]: Simplify (+ 0 0) into 0 51.366 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 51.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 51.366 * [backup-simplify]: Simplify 0 into 0 51.366 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 51.367 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 51.367 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 51.367 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 51.367 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 51.367 * [taylor]: Taking taylor expansion of 1 in J 51.367 * [backup-simplify]: Simplify 1 into 1 51.367 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.367 * [taylor]: Taking taylor expansion of 1/4 in J 51.367 * [backup-simplify]: Simplify 1/4 into 1/4 51.367 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.367 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.367 * [taylor]: Taking taylor expansion of J in J 51.367 * [backup-simplify]: Simplify 0 into 0 51.367 * [backup-simplify]: Simplify 1 into 1 51.367 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.368 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.368 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.368 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.368 * [taylor]: Taking taylor expansion of -1/2 in J 51.368 * [backup-simplify]: Simplify -1/2 into -1/2 51.368 * [taylor]: Taking taylor expansion of K in J 51.368 * [backup-simplify]: Simplify K into K 51.368 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.368 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.368 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.368 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.368 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.369 * [backup-simplify]: Simplify (- 0) into 0 51.369 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.369 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.369 * [taylor]: Taking taylor expansion of U in J 51.369 * [backup-simplify]: Simplify U into U 51.369 * [backup-simplify]: Simplify (* 1 1) into 1 51.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.369 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.370 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.370 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.370 * [backup-simplify]: Simplify (+ 1 0) into 1 51.371 * [backup-simplify]: Simplify (sqrt 1) into 1 51.371 * [backup-simplify]: Simplify (+ 0 0) into 0 51.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.372 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 51.372 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 51.372 * [taylor]: Taking taylor expansion of 1 in K 51.372 * [backup-simplify]: Simplify 1 into 1 51.372 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.372 * [taylor]: Taking taylor expansion of 1/4 in K 51.372 * [backup-simplify]: Simplify 1/4 into 1/4 51.372 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.372 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.372 * [taylor]: Taking taylor expansion of J in K 51.372 * [backup-simplify]: Simplify J into J 51.372 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.372 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.372 * [taylor]: Taking taylor expansion of -1/2 in K 51.372 * [backup-simplify]: Simplify -1/2 into -1/2 51.372 * [taylor]: Taking taylor expansion of K in K 51.372 * [backup-simplify]: Simplify 0 into 0 51.372 * [backup-simplify]: Simplify 1 into 1 51.373 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.373 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.373 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.373 * [taylor]: Taking taylor expansion of U in K 51.373 * [backup-simplify]: Simplify U into U 51.373 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.373 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.373 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.374 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.374 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.375 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 51.375 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 51.375 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 51.376 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.376 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.376 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 51.377 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 51.382 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 51.382 * [backup-simplify]: Simplify (+ 0 0) into 0 51.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 51.383 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.383 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.383 * [taylor]: Taking taylor expansion of 1 in U 51.383 * [backup-simplify]: Simplify 1 into 1 51.383 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.383 * [taylor]: Taking taylor expansion of 1/4 in U 51.383 * [backup-simplify]: Simplify 1/4 into 1/4 51.383 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.383 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.383 * [taylor]: Taking taylor expansion of J in U 51.383 * [backup-simplify]: Simplify J into J 51.383 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.383 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.383 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.383 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.383 * [taylor]: Taking taylor expansion of -1/2 in U 51.383 * [backup-simplify]: Simplify -1/2 into -1/2 51.383 * [taylor]: Taking taylor expansion of K in U 51.383 * [backup-simplify]: Simplify K into K 51.383 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.383 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.383 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.383 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.383 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.384 * [backup-simplify]: Simplify (- 0) into 0 51.384 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.384 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.384 * [taylor]: Taking taylor expansion of U in U 51.384 * [backup-simplify]: Simplify 0 into 0 51.384 * [backup-simplify]: Simplify 1 into 1 51.384 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.384 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.384 * [backup-simplify]: Simplify (* 1 1) into 1 51.384 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.384 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.384 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.385 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.385 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.385 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.386 * [backup-simplify]: Simplify (+ 0) into 0 51.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.387 * [backup-simplify]: Simplify (- 0) into 0 51.387 * [backup-simplify]: Simplify (+ 0 0) into 0 51.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.388 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.388 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.388 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.389 * [backup-simplify]: Simplify (+ 0 0) into 0 51.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.389 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.389 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.389 * [taylor]: Taking taylor expansion of 1 in U 51.389 * [backup-simplify]: Simplify 1 into 1 51.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.389 * [taylor]: Taking taylor expansion of 1/4 in U 51.389 * [backup-simplify]: Simplify 1/4 into 1/4 51.389 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.389 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.389 * [taylor]: Taking taylor expansion of J in U 51.389 * [backup-simplify]: Simplify J into J 51.389 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.389 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.389 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.389 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.389 * [taylor]: Taking taylor expansion of -1/2 in U 51.389 * [backup-simplify]: Simplify -1/2 into -1/2 51.389 * [taylor]: Taking taylor expansion of K in U 51.389 * [backup-simplify]: Simplify K into K 51.389 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.389 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.389 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.389 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.389 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.390 * [backup-simplify]: Simplify (- 0) into 0 51.390 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.390 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.390 * [taylor]: Taking taylor expansion of U in U 51.390 * [backup-simplify]: Simplify 0 into 0 51.390 * [backup-simplify]: Simplify 1 into 1 51.390 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.390 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.390 * [backup-simplify]: Simplify (* 1 1) into 1 51.390 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.390 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.390 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.391 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.391 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.391 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.391 * [backup-simplify]: Simplify (+ 0) into 0 51.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.393 * [backup-simplify]: Simplify (- 0) into 0 51.393 * [backup-simplify]: Simplify (+ 0 0) into 0 51.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.394 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.394 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.394 * [backup-simplify]: Simplify (+ 0 0) into 0 51.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 51.395 * [taylor]: Taking taylor expansion of 1/2 in K 51.395 * [backup-simplify]: Simplify 1/2 into 1/2 51.395 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 51.395 * [taylor]: Taking taylor expansion of J in K 51.395 * [backup-simplify]: Simplify J into J 51.395 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.395 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.395 * [taylor]: Taking taylor expansion of -1/2 in K 51.395 * [backup-simplify]: Simplify -1/2 into -1/2 51.395 * [taylor]: Taking taylor expansion of K in K 51.395 * [backup-simplify]: Simplify 0 into 0 51.395 * [backup-simplify]: Simplify 1 into 1 51.395 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.395 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.395 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 51.395 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 51.395 * [taylor]: Taking taylor expansion of 1/2 in J 51.395 * [backup-simplify]: Simplify 1/2 into 1/2 51.395 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 51.395 * [taylor]: Taking taylor expansion of J in J 51.395 * [backup-simplify]: Simplify 0 into 0 51.396 * [backup-simplify]: Simplify 1 into 1 51.396 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.396 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.396 * [taylor]: Taking taylor expansion of -1/2 in J 51.396 * [backup-simplify]: Simplify -1/2 into -1/2 51.396 * [taylor]: Taking taylor expansion of K in J 51.396 * [backup-simplify]: Simplify K into K 51.396 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.396 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.396 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.396 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.396 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.396 * [backup-simplify]: Simplify (- 0) into 0 51.396 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.396 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 51.396 * [taylor]: Taking taylor expansion of 0 in K 51.396 * [backup-simplify]: Simplify 0 into 0 51.396 * [taylor]: Taking taylor expansion of 0 in J 51.396 * [backup-simplify]: Simplify 0 into 0 51.396 * [backup-simplify]: Simplify 0 into 0 51.396 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 51.397 * [taylor]: Taking taylor expansion of 0 in J 51.397 * [backup-simplify]: Simplify 0 into 0 51.397 * [backup-simplify]: Simplify 0 into 0 51.397 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 51.397 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 51.397 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.399 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.399 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.399 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.400 * [backup-simplify]: Simplify (- 0) into 0 51.400 * [backup-simplify]: Simplify (+ 0 0) into 0 51.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.401 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.401 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.402 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.402 * [backup-simplify]: Simplify (+ 1 0) into 1 51.403 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 51.403 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.403 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.403 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.403 * [taylor]: Taking taylor expansion of -1/2 in K 51.403 * [backup-simplify]: Simplify -1/2 into -1/2 51.403 * [taylor]: Taking taylor expansion of K in K 51.403 * [backup-simplify]: Simplify 0 into 0 51.403 * [backup-simplify]: Simplify 1 into 1 51.403 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.403 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.403 * [taylor]: Taking taylor expansion of J in K 51.403 * [backup-simplify]: Simplify J into J 51.403 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.403 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.403 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.403 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.403 * [taylor]: Taking taylor expansion of -1/2 in J 51.403 * [backup-simplify]: Simplify -1/2 into -1/2 51.403 * [taylor]: Taking taylor expansion of K in J 51.403 * [backup-simplify]: Simplify K into K 51.403 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.403 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.403 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.404 * [taylor]: Taking taylor expansion of J in J 51.404 * [backup-simplify]: Simplify 0 into 0 51.404 * [backup-simplify]: Simplify 1 into 1 51.404 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.404 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.404 * [backup-simplify]: Simplify (- 0) into 0 51.404 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.404 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.404 * [backup-simplify]: Simplify (+ 0) into 0 51.405 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.405 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.406 * [backup-simplify]: Simplify (- 0) into 0 51.406 * [backup-simplify]: Simplify (+ 0 0) into 0 51.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 51.406 * [backup-simplify]: Simplify 0 into 0 51.407 * [taylor]: Taking taylor expansion of 0 in J 51.407 * [backup-simplify]: Simplify 0 into 0 51.407 * [backup-simplify]: Simplify 0 into 0 51.407 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 51.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 51.407 * [taylor]: Taking taylor expansion of 0 in J 51.407 * [backup-simplify]: Simplify 0 into 0 51.407 * [backup-simplify]: Simplify 0 into 0 51.407 * [backup-simplify]: Simplify 0 into 0 51.407 * [backup-simplify]: Simplify 0 into 0 51.408 * [backup-simplify]: Simplify (+ 0) into 0 51.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.410 * [backup-simplify]: Simplify (- 0) into 0 51.410 * [backup-simplify]: Simplify (+ 0 0) into 0 51.411 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 51.411 * [backup-simplify]: Simplify 0 into 0 51.411 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 51.411 * * * * [progress]: [ 2 / 4 ] generating series at (2) 51.412 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 51.412 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 51.412 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 51.412 * [taylor]: Taking taylor expansion of -2 in J 51.412 * [backup-simplify]: Simplify -2 into -2 51.412 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 51.412 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 51.412 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.412 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.412 * [taylor]: Taking taylor expansion of 1/2 in J 51.412 * [backup-simplify]: Simplify 1/2 into 1/2 51.413 * [taylor]: Taking taylor expansion of K in J 51.413 * [backup-simplify]: Simplify K into K 51.413 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.413 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.413 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.413 * [taylor]: Taking taylor expansion of J in J 51.413 * [backup-simplify]: Simplify 0 into 0 51.413 * [backup-simplify]: Simplify 1 into 1 51.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 51.413 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 51.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.413 * [taylor]: Taking taylor expansion of 1/4 in J 51.413 * [backup-simplify]: Simplify 1/4 into 1/4 51.413 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.413 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.413 * [taylor]: Taking taylor expansion of U in J 51.413 * [backup-simplify]: Simplify U into U 51.413 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.413 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.413 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.413 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.413 * [taylor]: Taking taylor expansion of 1/2 in J 51.413 * [backup-simplify]: Simplify 1/2 into 1/2 51.413 * [taylor]: Taking taylor expansion of K in J 51.413 * [backup-simplify]: Simplify K into K 51.413 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.413 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.413 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.414 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.414 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.414 * [backup-simplify]: Simplify (- 0) into 0 51.414 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.414 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.414 * [taylor]: Taking taylor expansion of J in J 51.414 * [backup-simplify]: Simplify 0 into 0 51.414 * [backup-simplify]: Simplify 1 into 1 51.414 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.414 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.415 * [backup-simplify]: Simplify (* 1 1) into 1 51.415 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.415 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.415 * [taylor]: Taking taylor expansion of 1 in J 51.415 * [backup-simplify]: Simplify 1 into 1 51.415 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.416 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.416 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 51.416 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.417 * [backup-simplify]: Simplify (+ 0) into 0 51.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.420 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.420 * [backup-simplify]: Simplify (- 0) into 0 51.420 * [backup-simplify]: Simplify (+ 0 0) into 0 51.420 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.421 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 51.421 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 51.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 51.422 * [backup-simplify]: Simplify (+ 0 0) into 0 51.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 51.423 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 51.423 * [taylor]: Taking taylor expansion of -2 in K 51.423 * [backup-simplify]: Simplify -2 into -2 51.423 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 51.423 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.423 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.423 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.423 * [taylor]: Taking taylor expansion of 1/2 in K 51.423 * [backup-simplify]: Simplify 1/2 into 1/2 51.423 * [taylor]: Taking taylor expansion of K in K 51.423 * [backup-simplify]: Simplify 0 into 0 51.423 * [backup-simplify]: Simplify 1 into 1 51.423 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.424 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.424 * [taylor]: Taking taylor expansion of J in K 51.424 * [backup-simplify]: Simplify J into J 51.424 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 51.424 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 51.424 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.424 * [taylor]: Taking taylor expansion of 1/4 in K 51.424 * [backup-simplify]: Simplify 1/4 into 1/4 51.424 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.424 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.424 * [taylor]: Taking taylor expansion of U in K 51.425 * [backup-simplify]: Simplify U into U 51.425 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.425 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.425 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.425 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.425 * [taylor]: Taking taylor expansion of 1/2 in K 51.425 * [backup-simplify]: Simplify 1/2 into 1/2 51.425 * [taylor]: Taking taylor expansion of K in K 51.425 * [backup-simplify]: Simplify 0 into 0 51.425 * [backup-simplify]: Simplify 1 into 1 51.426 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.426 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.426 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.426 * [taylor]: Taking taylor expansion of J in K 51.426 * [backup-simplify]: Simplify J into J 51.426 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.427 * [backup-simplify]: Simplify (* 1 1) into 1 51.427 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.427 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.427 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.427 * [taylor]: Taking taylor expansion of 1 in K 51.427 * [backup-simplify]: Simplify 1 into 1 51.427 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 51.428 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 51.428 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 51.428 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.428 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.428 * [backup-simplify]: Simplify (+ 0) into 0 51.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.430 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 51.431 * [backup-simplify]: Simplify (+ 0 0) into 0 51.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 51.431 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 51.431 * [taylor]: Taking taylor expansion of -2 in U 51.431 * [backup-simplify]: Simplify -2 into -2 51.431 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 51.431 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 51.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.431 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.431 * [taylor]: Taking taylor expansion of 1/2 in U 51.431 * [backup-simplify]: Simplify 1/2 into 1/2 51.431 * [taylor]: Taking taylor expansion of K in U 51.431 * [backup-simplify]: Simplify K into K 51.431 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.432 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.432 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.432 * [taylor]: Taking taylor expansion of J in U 51.432 * [backup-simplify]: Simplify J into J 51.432 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.432 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.432 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.432 * [taylor]: Taking taylor expansion of 1/4 in U 51.432 * [backup-simplify]: Simplify 1/4 into 1/4 51.432 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.432 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.432 * [taylor]: Taking taylor expansion of U in U 51.432 * [backup-simplify]: Simplify 0 into 0 51.432 * [backup-simplify]: Simplify 1 into 1 51.432 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.432 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.432 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.432 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.432 * [taylor]: Taking taylor expansion of 1/2 in U 51.432 * [backup-simplify]: Simplify 1/2 into 1/2 51.432 * [taylor]: Taking taylor expansion of K in U 51.432 * [backup-simplify]: Simplify K into K 51.432 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.432 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.432 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.432 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.433 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.433 * [backup-simplify]: Simplify (- 0) into 0 51.433 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.433 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.433 * [taylor]: Taking taylor expansion of J in U 51.433 * [backup-simplify]: Simplify J into J 51.434 * [backup-simplify]: Simplify (* 1 1) into 1 51.434 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.434 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.434 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.434 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.434 * [taylor]: Taking taylor expansion of 1 in U 51.434 * [backup-simplify]: Simplify 1 into 1 51.435 * [backup-simplify]: Simplify (+ 0 1) into 1 51.435 * [backup-simplify]: Simplify (sqrt 1) into 1 51.435 * [backup-simplify]: Simplify (+ 0 0) into 0 51.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.436 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 51.436 * [taylor]: Taking taylor expansion of -2 in U 51.436 * [backup-simplify]: Simplify -2 into -2 51.436 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 51.436 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 51.436 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.436 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.436 * [taylor]: Taking taylor expansion of 1/2 in U 51.436 * [backup-simplify]: Simplify 1/2 into 1/2 51.436 * [taylor]: Taking taylor expansion of K in U 51.436 * [backup-simplify]: Simplify K into K 51.436 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.437 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.437 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.437 * [taylor]: Taking taylor expansion of J in U 51.437 * [backup-simplify]: Simplify J into J 51.437 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.437 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.437 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.437 * [taylor]: Taking taylor expansion of 1/4 in U 51.437 * [backup-simplify]: Simplify 1/4 into 1/4 51.437 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.437 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.437 * [taylor]: Taking taylor expansion of U in U 51.437 * [backup-simplify]: Simplify 0 into 0 51.437 * [backup-simplify]: Simplify 1 into 1 51.437 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.437 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.437 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.437 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.437 * [taylor]: Taking taylor expansion of 1/2 in U 51.437 * [backup-simplify]: Simplify 1/2 into 1/2 51.437 * [taylor]: Taking taylor expansion of K in U 51.437 * [backup-simplify]: Simplify K into K 51.437 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.437 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.437 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.437 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.437 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.438 * [backup-simplify]: Simplify (- 0) into 0 51.438 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.438 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.438 * [taylor]: Taking taylor expansion of J in U 51.438 * [backup-simplify]: Simplify J into J 51.438 * [backup-simplify]: Simplify (* 1 1) into 1 51.439 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.439 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.439 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.439 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.439 * [taylor]: Taking taylor expansion of 1 in U 51.439 * [backup-simplify]: Simplify 1 into 1 51.440 * [backup-simplify]: Simplify (+ 0 1) into 1 51.440 * [backup-simplify]: Simplify (sqrt 1) into 1 51.441 * [backup-simplify]: Simplify (+ 0 0) into 0 51.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.442 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.442 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.442 * [backup-simplify]: Simplify (- 0) into 0 51.442 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.442 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 51.442 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 51.443 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 51.443 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 51.443 * [taylor]: Taking taylor expansion of -2 in K 51.443 * [backup-simplify]: Simplify -2 into -2 51.443 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.443 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.443 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.443 * [taylor]: Taking taylor expansion of 1/2 in K 51.443 * [backup-simplify]: Simplify 1/2 into 1/2 51.443 * [taylor]: Taking taylor expansion of K in K 51.443 * [backup-simplify]: Simplify 0 into 0 51.443 * [backup-simplify]: Simplify 1 into 1 51.443 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.444 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.444 * [taylor]: Taking taylor expansion of J in K 51.444 * [backup-simplify]: Simplify J into J 51.444 * [backup-simplify]: Simplify (* 1 J) into J 51.444 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 51.444 * [taylor]: Taking taylor expansion of (* -2 J) in J 51.444 * [taylor]: Taking taylor expansion of -2 in J 51.444 * [backup-simplify]: Simplify -2 into -2 51.444 * [taylor]: Taking taylor expansion of J in J 51.444 * [backup-simplify]: Simplify 0 into 0 51.444 * [backup-simplify]: Simplify 1 into 1 51.445 * [backup-simplify]: Simplify (+ 0) into 0 51.445 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.447 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.447 * [backup-simplify]: Simplify (- 0) into 0 51.448 * [backup-simplify]: Simplify (+ 0 0) into 0 51.448 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 51.448 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 51.449 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 51.449 * [taylor]: Taking taylor expansion of 0 in K 51.449 * [backup-simplify]: Simplify 0 into 0 51.449 * [taylor]: Taking taylor expansion of 0 in J 51.449 * [backup-simplify]: Simplify 0 into 0 51.449 * [backup-simplify]: Simplify (+ 0) into 0 51.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.450 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 51.450 * [taylor]: Taking taylor expansion of 0 in J 51.450 * [backup-simplify]: Simplify 0 into 0 51.451 * [backup-simplify]: Simplify (* -2 0) into 0 51.451 * [backup-simplify]: Simplify 0 into 0 51.451 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.451 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.453 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 51.456 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.457 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.457 * [backup-simplify]: Simplify (- 0) into 0 51.457 * [backup-simplify]: Simplify (+ 0 0) into 0 51.458 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 51.459 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 51.459 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 51.460 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 51.460 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 51.460 * [taylor]: Taking taylor expansion of 1/4 in K 51.460 * [backup-simplify]: Simplify 1/4 into 1/4 51.460 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 51.460 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.460 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.460 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.460 * [taylor]: Taking taylor expansion of 1/2 in K 51.460 * [backup-simplify]: Simplify 1/2 into 1/2 51.460 * [taylor]: Taking taylor expansion of K in K 51.460 * [backup-simplify]: Simplify 0 into 0 51.460 * [backup-simplify]: Simplify 1 into 1 51.460 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.461 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.461 * [taylor]: Taking taylor expansion of J in K 51.461 * [backup-simplify]: Simplify J into J 51.461 * [backup-simplify]: Simplify (* 1 J) into J 51.461 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 51.461 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 51.461 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 51.461 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 51.461 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 51.461 * [taylor]: Taking taylor expansion of 1/4 in J 51.461 * [backup-simplify]: Simplify 1/4 into 1/4 51.461 * [taylor]: Taking taylor expansion of (/ 1 J) in J 51.461 * [taylor]: Taking taylor expansion of J in J 51.462 * [backup-simplify]: Simplify 0 into 0 51.462 * [backup-simplify]: Simplify 1 into 1 51.462 * [backup-simplify]: Simplify (/ 1 1) into 1 51.462 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.463 * [backup-simplify]: Simplify (- 1/4) into -1/4 51.463 * [backup-simplify]: Simplify -1/4 into -1/4 51.463 * [taylor]: Taking taylor expansion of 0 in J 51.463 * [backup-simplify]: Simplify 0 into 0 51.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 51.465 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 51.465 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 51.465 * [taylor]: Taking taylor expansion of 1/4 in J 51.465 * [backup-simplify]: Simplify 1/4 into 1/4 51.465 * [taylor]: Taking taylor expansion of J in J 51.465 * [backup-simplify]: Simplify 0 into 0 51.465 * [backup-simplify]: Simplify 1 into 1 51.465 * [backup-simplify]: Simplify 0 into 0 51.465 * [backup-simplify]: Simplify 0 into 0 51.466 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 51.466 * [backup-simplify]: Simplify -2 into -2 51.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.467 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.467 * [backup-simplify]: Simplify (+ 0) into 0 51.468 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.469 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.470 * [backup-simplify]: Simplify (- 0) into 0 51.470 * [backup-simplify]: Simplify (+ 0 0) into 0 51.470 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.470 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.471 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.472 * [backup-simplify]: Simplify (+ 0 0) into 0 51.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 51.474 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 51.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.478 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.478 * [backup-simplify]: Simplify (- 0) into 0 51.479 * [backup-simplify]: Simplify (+ 0 0) into 0 51.479 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.480 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 51.481 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 51.482 * [taylor]: Taking taylor expansion of 0 in K 51.482 * [backup-simplify]: Simplify 0 into 0 51.482 * [taylor]: Taking taylor expansion of 0 in J 51.482 * [backup-simplify]: Simplify 0 into 0 51.482 * [backup-simplify]: Simplify (+ 0) into 0 51.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 51.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 51.483 * [backup-simplify]: Simplify (- 0) into 0 51.484 * [taylor]: Taking taylor expansion of 0 in J 51.484 * [backup-simplify]: Simplify 0 into 0 51.484 * [taylor]: Taking taylor expansion of 0 in J 51.484 * [backup-simplify]: Simplify 0 into 0 51.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.486 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 51.489 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 51.489 * [taylor]: Taking taylor expansion of 0 in J 51.489 * [backup-simplify]: Simplify 0 into 0 51.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 51.491 * [backup-simplify]: Simplify (- 0) into 0 51.491 * [backup-simplify]: Simplify 0 into 0 51.491 * [backup-simplify]: Simplify 0 into 0 51.491 * [backup-simplify]: Simplify (* 1/4 0) into 0 51.491 * [backup-simplify]: Simplify 0 into 0 51.491 * [backup-simplify]: Simplify 0 into 0 51.491 * [backup-simplify]: Simplify 0 into 0 51.492 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 51.492 * [backup-simplify]: Simplify 0 into 0 51.493 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 51.494 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 51.494 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 51.494 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 51.494 * [taylor]: Taking taylor expansion of -2 in J 51.494 * [backup-simplify]: Simplify -2 into -2 51.494 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 51.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 51.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 51.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.494 * [taylor]: Taking taylor expansion of 1/4 in J 51.494 * [backup-simplify]: Simplify 1/4 into 1/4 51.494 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.494 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.494 * [taylor]: Taking taylor expansion of J in J 51.494 * [backup-simplify]: Simplify 0 into 0 51.494 * [backup-simplify]: Simplify 1 into 1 51.495 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.495 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.495 * [taylor]: Taking taylor expansion of U in J 51.495 * [backup-simplify]: Simplify U into U 51.495 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.495 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.495 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.495 * [taylor]: Taking taylor expansion of 1/2 in J 51.495 * [backup-simplify]: Simplify 1/2 into 1/2 51.495 * [taylor]: Taking taylor expansion of K in J 51.495 * [backup-simplify]: Simplify K into K 51.495 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.495 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.495 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.495 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.495 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.496 * [backup-simplify]: Simplify (- 0) into 0 51.496 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.496 * [backup-simplify]: Simplify (* 1 1) into 1 51.496 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.496 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.496 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.497 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.497 * [taylor]: Taking taylor expansion of 1 in J 51.497 * [backup-simplify]: Simplify 1 into 1 51.497 * [backup-simplify]: Simplify (+ 0 1) into 1 51.498 * [backup-simplify]: Simplify (sqrt 1) into 1 51.498 * [backup-simplify]: Simplify (+ 0 0) into 0 51.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.499 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.499 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.499 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.499 * [taylor]: Taking taylor expansion of 1/2 in J 51.499 * [backup-simplify]: Simplify 1/2 into 1/2 51.499 * [taylor]: Taking taylor expansion of K in J 51.499 * [backup-simplify]: Simplify K into K 51.499 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.499 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.499 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.499 * [taylor]: Taking taylor expansion of J in J 51.499 * [backup-simplify]: Simplify 0 into 0 51.499 * [backup-simplify]: Simplify 1 into 1 51.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.499 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.500 * [backup-simplify]: Simplify (- 0) into 0 51.500 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.500 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.500 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 51.500 * [taylor]: Taking taylor expansion of -2 in K 51.500 * [backup-simplify]: Simplify -2 into -2 51.500 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 51.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 51.500 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 51.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.500 * [taylor]: Taking taylor expansion of 1/4 in K 51.500 * [backup-simplify]: Simplify 1/4 into 1/4 51.500 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.500 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.500 * [taylor]: Taking taylor expansion of J in K 51.500 * [backup-simplify]: Simplify J into J 51.500 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.500 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.500 * [taylor]: Taking taylor expansion of U in K 51.500 * [backup-simplify]: Simplify U into U 51.500 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.500 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.501 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.501 * [taylor]: Taking taylor expansion of 1/2 in K 51.501 * [backup-simplify]: Simplify 1/2 into 1/2 51.501 * [taylor]: Taking taylor expansion of K in K 51.501 * [backup-simplify]: Simplify 0 into 0 51.501 * [backup-simplify]: Simplify 1 into 1 51.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.501 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.501 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.501 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.501 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.502 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.502 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.502 * [taylor]: Taking taylor expansion of 1 in K 51.502 * [backup-simplify]: Simplify 1 into 1 51.502 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 51.503 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 51.503 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 51.503 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.503 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.503 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.504 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.505 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.505 * [backup-simplify]: Simplify (+ 0 0) into 0 51.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 51.506 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.506 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.506 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.506 * [taylor]: Taking taylor expansion of 1/2 in K 51.506 * [backup-simplify]: Simplify 1/2 into 1/2 51.506 * [taylor]: Taking taylor expansion of K in K 51.506 * [backup-simplify]: Simplify 0 into 0 51.506 * [backup-simplify]: Simplify 1 into 1 51.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.507 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.507 * [taylor]: Taking taylor expansion of J in K 51.507 * [backup-simplify]: Simplify J into J 51.507 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.507 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 51.507 * [taylor]: Taking taylor expansion of -2 in U 51.507 * [backup-simplify]: Simplify -2 into -2 51.507 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 51.507 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.507 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.507 * [taylor]: Taking taylor expansion of 1/4 in U 51.507 * [backup-simplify]: Simplify 1/4 into 1/4 51.507 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.507 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.507 * [taylor]: Taking taylor expansion of J in U 51.507 * [backup-simplify]: Simplify J into J 51.507 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.507 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.507 * [taylor]: Taking taylor expansion of U in U 51.507 * [backup-simplify]: Simplify 0 into 0 51.507 * [backup-simplify]: Simplify 1 into 1 51.507 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.508 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.508 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.508 * [taylor]: Taking taylor expansion of 1/2 in U 51.508 * [backup-simplify]: Simplify 1/2 into 1/2 51.508 * [taylor]: Taking taylor expansion of K in U 51.508 * [backup-simplify]: Simplify K into K 51.508 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.508 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.508 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.508 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.508 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.508 * [backup-simplify]: Simplify (- 0) into 0 51.509 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.509 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.509 * [backup-simplify]: Simplify (* 1 1) into 1 51.509 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.509 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.509 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.510 * [taylor]: Taking taylor expansion of 1 in U 51.510 * [backup-simplify]: Simplify 1 into 1 51.510 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.510 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.510 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.510 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.511 * [backup-simplify]: Simplify (+ 0) into 0 51.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.511 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.513 * [backup-simplify]: Simplify (- 0) into 0 51.513 * [backup-simplify]: Simplify (+ 0 0) into 0 51.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.515 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.516 * [backup-simplify]: Simplify (+ 0 0) into 0 51.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.517 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 51.517 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.517 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.517 * [taylor]: Taking taylor expansion of 1/2 in U 51.517 * [backup-simplify]: Simplify 1/2 into 1/2 51.517 * [taylor]: Taking taylor expansion of K in U 51.517 * [backup-simplify]: Simplify K into K 51.517 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.517 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.517 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.517 * [taylor]: Taking taylor expansion of J in U 51.517 * [backup-simplify]: Simplify J into J 51.517 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.517 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.522 * [backup-simplify]: Simplify (- 0) into 0 51.522 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.522 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.523 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 51.523 * [taylor]: Taking taylor expansion of -2 in U 51.523 * [backup-simplify]: Simplify -2 into -2 51.523 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 51.523 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.523 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.523 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.523 * [taylor]: Taking taylor expansion of 1/4 in U 51.523 * [backup-simplify]: Simplify 1/4 into 1/4 51.523 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.523 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.523 * [taylor]: Taking taylor expansion of J in U 51.523 * [backup-simplify]: Simplify J into J 51.523 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.523 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.523 * [taylor]: Taking taylor expansion of U in U 51.523 * [backup-simplify]: Simplify 0 into 0 51.523 * [backup-simplify]: Simplify 1 into 1 51.523 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.523 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.523 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.523 * [taylor]: Taking taylor expansion of 1/2 in U 51.523 * [backup-simplify]: Simplify 1/2 into 1/2 51.523 * [taylor]: Taking taylor expansion of K in U 51.523 * [backup-simplify]: Simplify K into K 51.523 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.523 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.523 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.524 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.524 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.524 * [backup-simplify]: Simplify (- 0) into 0 51.524 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.525 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.525 * [backup-simplify]: Simplify (* 1 1) into 1 51.525 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.525 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.525 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.525 * [taylor]: Taking taylor expansion of 1 in U 51.525 * [backup-simplify]: Simplify 1 into 1 51.526 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.526 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.526 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.526 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.527 * [backup-simplify]: Simplify (+ 0) into 0 51.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.529 * [backup-simplify]: Simplify (- 0) into 0 51.529 * [backup-simplify]: Simplify (+ 0 0) into 0 51.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.531 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.532 * [backup-simplify]: Simplify (+ 0 0) into 0 51.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.533 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 51.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.533 * [taylor]: Taking taylor expansion of 1/2 in U 51.533 * [backup-simplify]: Simplify 1/2 into 1/2 51.533 * [taylor]: Taking taylor expansion of K in U 51.533 * [backup-simplify]: Simplify K into K 51.533 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.533 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.533 * [taylor]: Taking taylor expansion of J in U 51.533 * [backup-simplify]: Simplify J into J 51.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.533 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.533 * [backup-simplify]: Simplify (- 0) into 0 51.534 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.534 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.534 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 51.534 * [backup-simplify]: Simplify (* -2 1/2) into -1 51.534 * [taylor]: Taking taylor expansion of -1 in K 51.534 * [backup-simplify]: Simplify -1 into -1 51.535 * [taylor]: Taking taylor expansion of -1 in J 51.535 * [backup-simplify]: Simplify -1 into -1 51.535 * [backup-simplify]: Simplify (+ 0) into 0 51.536 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.537 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.537 * [backup-simplify]: Simplify (- 0) into 0 51.537 * [backup-simplify]: Simplify (+ 0 0) into 0 51.537 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 51.537 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 51.538 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 51.538 * [taylor]: Taking taylor expansion of 0 in K 51.538 * [backup-simplify]: Simplify 0 into 0 51.538 * [taylor]: Taking taylor expansion of 0 in J 51.538 * [backup-simplify]: Simplify 0 into 0 51.538 * [taylor]: Taking taylor expansion of 0 in J 51.538 * [backup-simplify]: Simplify 0 into 0 51.538 * [backup-simplify]: Simplify -1 into -1 51.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.539 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.539 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.539 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.540 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.540 * [backup-simplify]: Simplify (- 0) into 0 51.540 * [backup-simplify]: Simplify (+ 0 0) into 0 51.540 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.541 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.541 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.542 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.543 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.543 * [backup-simplify]: Simplify (- 0) into 0 51.543 * [backup-simplify]: Simplify (+ 0 0) into 0 51.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.545 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.546 * [backup-simplify]: Simplify (+ 0 1) into 1 51.546 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 51.547 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 51.547 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 51.547 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 51.547 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 51.547 * [taylor]: Taking taylor expansion of 2 in K 51.547 * [backup-simplify]: Simplify 2 into 2 51.547 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 51.547 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.547 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.547 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.547 * [taylor]: Taking taylor expansion of 1/2 in K 51.547 * [backup-simplify]: Simplify 1/2 into 1/2 51.547 * [taylor]: Taking taylor expansion of K in K 51.547 * [backup-simplify]: Simplify 0 into 0 51.547 * [backup-simplify]: Simplify 1 into 1 51.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.548 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.548 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.548 * [taylor]: Taking taylor expansion of J in K 51.548 * [backup-simplify]: Simplify J into J 51.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.548 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.548 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 51.548 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 51.548 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 51.548 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 51.548 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 51.548 * [taylor]: Taking taylor expansion of 2 in J 51.548 * [backup-simplify]: Simplify 2 into 2 51.548 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 51.548 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.549 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.549 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.549 * [taylor]: Taking taylor expansion of 1/2 in J 51.549 * [backup-simplify]: Simplify 1/2 into 1/2 51.549 * [taylor]: Taking taylor expansion of K in J 51.549 * [backup-simplify]: Simplify K into K 51.549 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.549 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.549 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.549 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.549 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.549 * [backup-simplify]: Simplify (- 0) into 0 51.549 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.549 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.549 * [taylor]: Taking taylor expansion of J in J 51.549 * [backup-simplify]: Simplify 0 into 0 51.549 * [backup-simplify]: Simplify 1 into 1 51.549 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.550 * [backup-simplify]: Simplify (* 1 1) into 1 51.550 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 51.550 * [backup-simplify]: Simplify (+ 0) into 0 51.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.551 * [backup-simplify]: Simplify (- 0) into 0 51.551 * [backup-simplify]: Simplify (+ 0 0) into 0 51.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 51.553 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.553 * [backup-simplify]: Simplify (- 0) into 0 51.553 * [backup-simplify]: Simplify 0 into 0 51.553 * [taylor]: Taking taylor expansion of 0 in J 51.553 * [backup-simplify]: Simplify 0 into 0 51.553 * [taylor]: Taking taylor expansion of 0 in J 51.553 * [backup-simplify]: Simplify 0 into 0 51.553 * [backup-simplify]: Simplify 0 into 0 51.553 * [backup-simplify]: Simplify 0 into 0 51.553 * [backup-simplify]: Simplify 0 into 0 51.554 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.556 * [backup-simplify]: Simplify (- 0) into 0 51.556 * [backup-simplify]: Simplify (+ 0 0) into 0 51.556 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.557 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.557 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.558 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.560 * [backup-simplify]: Simplify (- 0) into 0 51.560 * [backup-simplify]: Simplify (+ 0 0) into 0 51.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 51.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.562 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.563 * [backup-simplify]: Simplify (+ 0 0) into 0 51.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 51.564 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 51.564 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 51.564 * [taylor]: Taking taylor expansion of 0 in K 51.564 * [backup-simplify]: Simplify 0 into 0 51.565 * [taylor]: Taking taylor expansion of 0 in J 51.565 * [backup-simplify]: Simplify 0 into 0 51.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.565 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.565 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.565 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 51.566 * [backup-simplify]: Simplify (- 0) into 0 51.566 * [taylor]: Taking taylor expansion of 0 in J 51.566 * [backup-simplify]: Simplify 0 into 0 51.566 * [taylor]: Taking taylor expansion of 0 in J 51.566 * [backup-simplify]: Simplify 0 into 0 51.566 * [taylor]: Taking taylor expansion of 0 in J 51.566 * [backup-simplify]: Simplify 0 into 0 51.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.567 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.568 * [backup-simplify]: Simplify (- 0) into 0 51.568 * [backup-simplify]: Simplify (+ 0 0) into 0 51.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.572 * [backup-simplify]: Simplify (- 0) into 0 51.572 * [backup-simplify]: Simplify 0 into 0 51.572 * [backup-simplify]: Simplify 0 into 0 51.573 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 51.574 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 51.574 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 51.574 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 51.574 * [taylor]: Taking taylor expansion of 2 in J 51.574 * [backup-simplify]: Simplify 2 into 2 51.574 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 51.574 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.574 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.574 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.574 * [taylor]: Taking taylor expansion of -1/2 in J 51.574 * [backup-simplify]: Simplify -1/2 into -1/2 51.574 * [taylor]: Taking taylor expansion of K in J 51.574 * [backup-simplify]: Simplify K into K 51.574 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.574 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.574 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.574 * [taylor]: Taking taylor expansion of J in J 51.574 * [backup-simplify]: Simplify 0 into 0 51.574 * [backup-simplify]: Simplify 1 into 1 51.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.574 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.575 * [backup-simplify]: Simplify (- 0) into 0 51.575 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.575 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.575 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 51.575 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 51.575 * [taylor]: Taking taylor expansion of 1 in J 51.575 * [backup-simplify]: Simplify 1 into 1 51.575 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.575 * [taylor]: Taking taylor expansion of 1/4 in J 51.575 * [backup-simplify]: Simplify 1/4 into 1/4 51.575 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.575 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.575 * [taylor]: Taking taylor expansion of J in J 51.575 * [backup-simplify]: Simplify 0 into 0 51.575 * [backup-simplify]: Simplify 1 into 1 51.575 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.575 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.575 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.575 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.575 * [taylor]: Taking taylor expansion of -1/2 in J 51.575 * [backup-simplify]: Simplify -1/2 into -1/2 51.575 * [taylor]: Taking taylor expansion of K in J 51.576 * [backup-simplify]: Simplify K into K 51.576 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.576 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.576 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.576 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.576 * [backup-simplify]: Simplify (- 0) into 0 51.576 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.576 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.576 * [taylor]: Taking taylor expansion of U in J 51.576 * [backup-simplify]: Simplify U into U 51.577 * [backup-simplify]: Simplify (* 1 1) into 1 51.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.577 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.577 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.577 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.578 * [backup-simplify]: Simplify (+ 1 0) into 1 51.578 * [backup-simplify]: Simplify (sqrt 1) into 1 51.579 * [backup-simplify]: Simplify (+ 0 0) into 0 51.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.579 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 51.579 * [taylor]: Taking taylor expansion of 2 in K 51.579 * [backup-simplify]: Simplify 2 into 2 51.579 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 51.579 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.580 * [taylor]: Taking taylor expansion of -1/2 in K 51.580 * [backup-simplify]: Simplify -1/2 into -1/2 51.580 * [taylor]: Taking taylor expansion of K in K 51.580 * [backup-simplify]: Simplify 0 into 0 51.580 * [backup-simplify]: Simplify 1 into 1 51.580 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.580 * [taylor]: Taking taylor expansion of J in K 51.580 * [backup-simplify]: Simplify J into J 51.580 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.580 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 51.580 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 51.580 * [taylor]: Taking taylor expansion of 1 in K 51.580 * [backup-simplify]: Simplify 1 into 1 51.581 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.581 * [taylor]: Taking taylor expansion of 1/4 in K 51.581 * [backup-simplify]: Simplify 1/4 into 1/4 51.581 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.581 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.581 * [taylor]: Taking taylor expansion of J in K 51.581 * [backup-simplify]: Simplify J into J 51.581 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.581 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.581 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.581 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.581 * [taylor]: Taking taylor expansion of -1/2 in K 51.581 * [backup-simplify]: Simplify -1/2 into -1/2 51.581 * [taylor]: Taking taylor expansion of K in K 51.581 * [backup-simplify]: Simplify 0 into 0 51.581 * [backup-simplify]: Simplify 1 into 1 51.581 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.581 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.581 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.581 * [taylor]: Taking taylor expansion of U in K 51.582 * [backup-simplify]: Simplify U into U 51.582 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.582 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.582 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.582 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.582 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 51.583 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 51.583 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 51.583 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.583 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.584 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 51.584 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 51.585 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 51.586 * [backup-simplify]: Simplify (+ 0 0) into 0 51.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 51.586 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 51.586 * [taylor]: Taking taylor expansion of 2 in U 51.586 * [backup-simplify]: Simplify 2 into 2 51.586 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 51.586 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 51.586 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.586 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.586 * [taylor]: Taking taylor expansion of -1/2 in U 51.586 * [backup-simplify]: Simplify -1/2 into -1/2 51.586 * [taylor]: Taking taylor expansion of K in U 51.586 * [backup-simplify]: Simplify K into K 51.587 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.587 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.587 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.587 * [taylor]: Taking taylor expansion of J in U 51.587 * [backup-simplify]: Simplify J into J 51.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.587 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.587 * [backup-simplify]: Simplify (- 0) into 0 51.587 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.587 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.588 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.588 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.588 * [taylor]: Taking taylor expansion of 1 in U 51.588 * [backup-simplify]: Simplify 1 into 1 51.588 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.588 * [taylor]: Taking taylor expansion of 1/4 in U 51.588 * [backup-simplify]: Simplify 1/4 into 1/4 51.588 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.588 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.588 * [taylor]: Taking taylor expansion of J in U 51.588 * [backup-simplify]: Simplify J into J 51.588 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.588 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.588 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.588 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.588 * [taylor]: Taking taylor expansion of -1/2 in U 51.588 * [backup-simplify]: Simplify -1/2 into -1/2 51.588 * [taylor]: Taking taylor expansion of K in U 51.588 * [backup-simplify]: Simplify K into K 51.588 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.588 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.588 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.589 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.589 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.589 * [backup-simplify]: Simplify (- 0) into 0 51.589 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.589 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.589 * [taylor]: Taking taylor expansion of U in U 51.589 * [backup-simplify]: Simplify 0 into 0 51.589 * [backup-simplify]: Simplify 1 into 1 51.589 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.589 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.590 * [backup-simplify]: Simplify (* 1 1) into 1 51.590 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.590 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.590 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.591 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.591 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.591 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.592 * [backup-simplify]: Simplify (+ 0) into 0 51.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.592 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.594 * [backup-simplify]: Simplify (- 0) into 0 51.594 * [backup-simplify]: Simplify (+ 0 0) into 0 51.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.595 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.595 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.596 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.597 * [backup-simplify]: Simplify (+ 0 0) into 0 51.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.597 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 51.597 * [taylor]: Taking taylor expansion of 2 in U 51.597 * [backup-simplify]: Simplify 2 into 2 51.597 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 51.597 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 51.597 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.597 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.597 * [taylor]: Taking taylor expansion of -1/2 in U 51.597 * [backup-simplify]: Simplify -1/2 into -1/2 51.597 * [taylor]: Taking taylor expansion of K in U 51.597 * [backup-simplify]: Simplify K into K 51.597 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.597 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.598 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.598 * [taylor]: Taking taylor expansion of J in U 51.598 * [backup-simplify]: Simplify J into J 51.598 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.598 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.598 * [backup-simplify]: Simplify (- 0) into 0 51.598 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.598 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.598 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.598 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.598 * [taylor]: Taking taylor expansion of 1 in U 51.598 * [backup-simplify]: Simplify 1 into 1 51.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.599 * [taylor]: Taking taylor expansion of 1/4 in U 51.599 * [backup-simplify]: Simplify 1/4 into 1/4 51.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.599 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.599 * [taylor]: Taking taylor expansion of J in U 51.599 * [backup-simplify]: Simplify J into J 51.599 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.599 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.599 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.599 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.599 * [taylor]: Taking taylor expansion of -1/2 in U 51.599 * [backup-simplify]: Simplify -1/2 into -1/2 51.599 * [taylor]: Taking taylor expansion of K in U 51.599 * [backup-simplify]: Simplify K into K 51.599 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.599 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.599 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.599 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.599 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.600 * [backup-simplify]: Simplify (- 0) into 0 51.600 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.600 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.600 * [taylor]: Taking taylor expansion of U in U 51.600 * [backup-simplify]: Simplify 0 into 0 51.600 * [backup-simplify]: Simplify 1 into 1 51.600 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.600 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.600 * [backup-simplify]: Simplify (* 1 1) into 1 51.600 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.600 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.600 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.601 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.601 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.602 * [backup-simplify]: Simplify (+ 0) into 0 51.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.603 * [backup-simplify]: Simplify (- 0) into 0 51.603 * [backup-simplify]: Simplify (+ 0 0) into 0 51.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.604 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.604 * [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))))) into 0 51.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.605 * [backup-simplify]: Simplify (+ 0 0) into 0 51.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.605 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 51.605 * [backup-simplify]: Simplify (* 2 1/2) into 1 51.605 * [taylor]: Taking taylor expansion of 1 in K 51.605 * [backup-simplify]: Simplify 1 into 1 51.605 * [taylor]: Taking taylor expansion of 1 in J 51.605 * [backup-simplify]: Simplify 1 into 1 51.606 * [backup-simplify]: Simplify (+ 0) into 0 51.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.607 * [backup-simplify]: Simplify (- 0) into 0 51.607 * [backup-simplify]: Simplify (+ 0 0) into 0 51.607 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 51.608 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 51.608 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 51.608 * [taylor]: Taking taylor expansion of 0 in K 51.608 * [backup-simplify]: Simplify 0 into 0 51.608 * [taylor]: Taking taylor expansion of 0 in J 51.608 * [backup-simplify]: Simplify 0 into 0 51.608 * [taylor]: Taking taylor expansion of 0 in J 51.608 * [backup-simplify]: Simplify 0 into 0 51.608 * [backup-simplify]: Simplify 1 into 1 51.609 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.610 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.611 * [backup-simplify]: Simplify (- 0) into 0 51.611 * [backup-simplify]: Simplify (+ 0 0) into 0 51.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.612 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.613 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.613 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.613 * [backup-simplify]: Simplify (+ 1 0) into 1 51.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 51.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.616 * [backup-simplify]: Simplify (- 0) into 0 51.616 * [backup-simplify]: Simplify (+ 0 0) into 0 51.616 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.617 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 51.617 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 51.617 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 51.617 * [taylor]: Taking taylor expansion of 2 in K 51.617 * [backup-simplify]: Simplify 2 into 2 51.617 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 51.617 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.617 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.617 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.617 * [taylor]: Taking taylor expansion of -1/2 in K 51.617 * [backup-simplify]: Simplify -1/2 into -1/2 51.618 * [taylor]: Taking taylor expansion of K in K 51.618 * [backup-simplify]: Simplify 0 into 0 51.618 * [backup-simplify]: Simplify 1 into 1 51.618 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.618 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.618 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.618 * [taylor]: Taking taylor expansion of J in K 51.618 * [backup-simplify]: Simplify J into J 51.618 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.618 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.618 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 51.618 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 51.618 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 51.618 * [taylor]: Taking taylor expansion of 2 in J 51.618 * [backup-simplify]: Simplify 2 into 2 51.618 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 51.618 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.618 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.618 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.618 * [taylor]: Taking taylor expansion of -1/2 in J 51.618 * [backup-simplify]: Simplify -1/2 into -1/2 51.618 * [taylor]: Taking taylor expansion of K in J 51.618 * [backup-simplify]: Simplify K into K 51.618 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.619 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.619 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.619 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.619 * [backup-simplify]: Simplify (- 0) into 0 51.619 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.619 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.619 * [taylor]: Taking taylor expansion of J in J 51.619 * [backup-simplify]: Simplify 0 into 0 51.619 * [backup-simplify]: Simplify 1 into 1 51.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.619 * [backup-simplify]: Simplify (* 1 1) into 1 51.619 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.620 * [backup-simplify]: Simplify (+ 0) into 0 51.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.621 * [backup-simplify]: Simplify (- 0) into 0 51.621 * [backup-simplify]: Simplify (+ 0 0) into 0 51.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 51.623 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [taylor]: Taking taylor expansion of 0 in J 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [taylor]: Taking taylor expansion of 0 in J 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.624 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.625 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.627 * [backup-simplify]: Simplify (- 0) into 0 51.627 * [backup-simplify]: Simplify (+ 0 0) into 0 51.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 51.628 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.628 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.632 * [backup-simplify]: Simplify (+ 0 0) into 0 51.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 51.634 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.637 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.638 * [backup-simplify]: Simplify (- 0) into 0 51.638 * [backup-simplify]: Simplify (+ 0 0) into 0 51.638 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.639 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 51.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 51.640 * [taylor]: Taking taylor expansion of 0 in K 51.640 * [backup-simplify]: Simplify 0 into 0 51.640 * [taylor]: Taking taylor expansion of 0 in J 51.640 * [backup-simplify]: Simplify 0 into 0 51.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.641 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.641 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.641 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 51.641 * [taylor]: Taking taylor expansion of 0 in J 51.641 * [backup-simplify]: Simplify 0 into 0 51.642 * [taylor]: Taking taylor expansion of 0 in J 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [taylor]: Taking taylor expansion of 0 in J 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.644 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.645 * [backup-simplify]: Simplify (- 0) into 0 51.645 * [backup-simplify]: Simplify (+ 0 0) into 0 51.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 51.649 * [backup-simplify]: Simplify 0 into 0 51.650 * [backup-simplify]: Simplify 0 into 0 51.650 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 51.650 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 51.650 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.650 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 51.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.650 * [taylor]: Taking taylor expansion of 1/4 in J 51.650 * [backup-simplify]: Simplify 1/4 into 1/4 51.650 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.650 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.650 * [taylor]: Taking taylor expansion of U in J 51.650 * [backup-simplify]: Simplify U into U 51.650 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.650 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.650 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.650 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.651 * [taylor]: Taking taylor expansion of 1/2 in J 51.651 * [backup-simplify]: Simplify 1/2 into 1/2 51.651 * [taylor]: Taking taylor expansion of K in J 51.651 * [backup-simplify]: Simplify K into K 51.651 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.651 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.651 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.651 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.651 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.651 * [backup-simplify]: Simplify (- 0) into 0 51.651 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.651 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.651 * [taylor]: Taking taylor expansion of J in J 51.652 * [backup-simplify]: Simplify 0 into 0 51.652 * [backup-simplify]: Simplify 1 into 1 51.652 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.652 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.652 * [backup-simplify]: Simplify (* 1 1) into 1 51.652 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.652 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.652 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.652 * [taylor]: Taking taylor expansion of 1/4 in K 51.653 * [backup-simplify]: Simplify 1/4 into 1/4 51.653 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.653 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.653 * [taylor]: Taking taylor expansion of U in K 51.653 * [backup-simplify]: Simplify U into U 51.653 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.653 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.653 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.653 * [taylor]: Taking taylor expansion of 1/2 in K 51.653 * [backup-simplify]: Simplify 1/2 into 1/2 51.653 * [taylor]: Taking taylor expansion of K in K 51.653 * [backup-simplify]: Simplify 0 into 0 51.653 * [backup-simplify]: Simplify 1 into 1 51.653 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.654 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.654 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.654 * [taylor]: Taking taylor expansion of J in K 51.654 * [backup-simplify]: Simplify J into J 51.654 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.655 * [backup-simplify]: Simplify (* 1 1) into 1 51.655 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.655 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.655 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.655 * [taylor]: Taking taylor expansion of 1/4 in U 51.655 * [backup-simplify]: Simplify 1/4 into 1/4 51.655 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.655 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.655 * [taylor]: Taking taylor expansion of U in U 51.655 * [backup-simplify]: Simplify 0 into 0 51.655 * [backup-simplify]: Simplify 1 into 1 51.655 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.655 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.655 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.655 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.655 * [taylor]: Taking taylor expansion of 1/2 in U 51.655 * [backup-simplify]: Simplify 1/2 into 1/2 51.655 * [taylor]: Taking taylor expansion of K in U 51.655 * [backup-simplify]: Simplify K into K 51.655 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.655 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.655 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.656 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.656 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.656 * [backup-simplify]: Simplify (- 0) into 0 51.656 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.656 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.656 * [taylor]: Taking taylor expansion of J in U 51.656 * [backup-simplify]: Simplify J into J 51.657 * [backup-simplify]: Simplify (* 1 1) into 1 51.657 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.657 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.657 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.657 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.657 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.657 * [taylor]: Taking taylor expansion of 1/4 in U 51.657 * [backup-simplify]: Simplify 1/4 into 1/4 51.657 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.657 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.657 * [taylor]: Taking taylor expansion of U in U 51.657 * [backup-simplify]: Simplify 0 into 0 51.657 * [backup-simplify]: Simplify 1 into 1 51.657 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.657 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.657 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.657 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.657 * [taylor]: Taking taylor expansion of 1/2 in U 51.657 * [backup-simplify]: Simplify 1/2 into 1/2 51.657 * [taylor]: Taking taylor expansion of K in U 51.658 * [backup-simplify]: Simplify K into K 51.658 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.658 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.658 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.658 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.658 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.658 * [backup-simplify]: Simplify (- 0) into 0 51.658 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.658 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.658 * [taylor]: Taking taylor expansion of J in U 51.658 * [backup-simplify]: Simplify J into J 51.659 * [backup-simplify]: Simplify (* 1 1) into 1 51.659 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.659 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.659 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.659 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.660 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.660 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.660 * [taylor]: Taking taylor expansion of 1/4 in K 51.660 * [backup-simplify]: Simplify 1/4 into 1/4 51.660 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.660 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.660 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.660 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.660 * [taylor]: Taking taylor expansion of 1/2 in K 51.660 * [backup-simplify]: Simplify 1/2 into 1/2 51.660 * [taylor]: Taking taylor expansion of K in K 51.660 * [backup-simplify]: Simplify 0 into 0 51.660 * [backup-simplify]: Simplify 1 into 1 51.661 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.661 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.661 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.661 * [taylor]: Taking taylor expansion of J in K 51.661 * [backup-simplify]: Simplify J into J 51.662 * [backup-simplify]: Simplify (* 1 1) into 1 51.662 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.662 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.662 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 51.662 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 51.662 * [taylor]: Taking taylor expansion of 1/4 in J 51.662 * [backup-simplify]: Simplify 1/4 into 1/4 51.662 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.662 * [taylor]: Taking taylor expansion of J in J 51.662 * [backup-simplify]: Simplify 0 into 0 51.662 * [backup-simplify]: Simplify 1 into 1 51.663 * [backup-simplify]: Simplify (* 1 1) into 1 51.663 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 51.663 * [backup-simplify]: Simplify 1/4 into 1/4 51.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.664 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.664 * [backup-simplify]: Simplify (+ 0) into 0 51.665 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.666 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.667 * [backup-simplify]: Simplify (- 0) into 0 51.667 * [backup-simplify]: Simplify (+ 0 0) into 0 51.667 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.667 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.668 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.669 * [taylor]: Taking taylor expansion of 0 in K 51.669 * [backup-simplify]: Simplify 0 into 0 51.669 * [taylor]: Taking taylor expansion of 0 in J 51.669 * [backup-simplify]: Simplify 0 into 0 51.669 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.669 * [backup-simplify]: Simplify (+ 0) into 0 51.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.671 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 51.671 * [taylor]: Taking taylor expansion of 0 in J 51.671 * [backup-simplify]: Simplify 0 into 0 51.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 51.672 * [backup-simplify]: Simplify 0 into 0 51.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.674 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.674 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.675 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 51.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.677 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.678 * [backup-simplify]: Simplify (- 0) into 0 51.678 * [backup-simplify]: Simplify (+ 0 0) into 0 51.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 51.679 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 51.680 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.681 * [taylor]: Taking taylor expansion of 0 in K 51.681 * [backup-simplify]: Simplify 0 into 0 51.681 * [taylor]: Taking taylor expansion of 0 in J 51.681 * [backup-simplify]: Simplify 0 into 0 51.681 * [taylor]: Taking taylor expansion of 0 in J 51.681 * [backup-simplify]: Simplify 0 into 0 51.681 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.683 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 51.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 51.684 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 51.685 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 51.685 * [taylor]: Taking taylor expansion of 1/16 in J 51.685 * [backup-simplify]: Simplify 1/16 into 1/16 51.685 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 51.685 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.685 * [taylor]: Taking taylor expansion of J in J 51.685 * [backup-simplify]: Simplify 0 into 0 51.685 * [backup-simplify]: Simplify 1 into 1 51.685 * [backup-simplify]: Simplify (* 1 1) into 1 51.685 * [backup-simplify]: Simplify (/ 1 1) into 1 51.686 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 51.686 * [backup-simplify]: Simplify 1/16 into 1/16 51.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.688 * [backup-simplify]: Simplify 0 into 0 51.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.690 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.691 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.691 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 51.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.695 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.695 * [backup-simplify]: Simplify (- 0) into 0 51.695 * [backup-simplify]: Simplify (+ 0 0) into 0 51.696 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 51.697 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 51.698 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.699 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 51.699 * [taylor]: Taking taylor expansion of 0 in K 51.699 * [backup-simplify]: Simplify 0 into 0 51.699 * [taylor]: Taking taylor expansion of 0 in J 51.700 * [backup-simplify]: Simplify 0 into 0 51.700 * [taylor]: Taking taylor expansion of 0 in J 51.700 * [backup-simplify]: Simplify 0 into 0 51.700 * [taylor]: Taking taylor expansion of 0 in J 51.700 * [backup-simplify]: Simplify 0 into 0 51.700 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.703 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 51.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 51.706 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 51.706 * [taylor]: Taking taylor expansion of 0 in J 51.706 * [backup-simplify]: Simplify 0 into 0 51.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.708 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 51.708 * [backup-simplify]: Simplify 0 into 0 51.708 * [backup-simplify]: Simplify 0 into 0 51.708 * [backup-simplify]: Simplify 0 into 0 51.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.711 * [backup-simplify]: Simplify 0 into 0 51.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 51.713 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 51.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 51.717 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 51.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 51.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 51.720 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 51.721 * [backup-simplify]: Simplify (- 0) into 0 51.721 * [backup-simplify]: Simplify (+ 0 0) into 0 51.722 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 51.723 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 51.725 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 51.726 * [taylor]: Taking taylor expansion of 0 in K 51.726 * [backup-simplify]: Simplify 0 into 0 51.726 * [taylor]: Taking taylor expansion of 0 in J 51.727 * [backup-simplify]: Simplify 0 into 0 51.727 * [taylor]: Taking taylor expansion of 0 in J 51.727 * [backup-simplify]: Simplify 0 into 0 51.727 * [taylor]: Taking taylor expansion of 0 in J 51.727 * [backup-simplify]: Simplify 0 into 0 51.727 * [taylor]: Taking taylor expansion of 0 in J 51.727 * [backup-simplify]: Simplify 0 into 0 51.728 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 51.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 51.734 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 51.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 51.736 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 51.736 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 51.736 * [taylor]: Taking taylor expansion of 1/96 in J 51.736 * [backup-simplify]: Simplify 1/96 into 1/96 51.736 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 51.737 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.737 * [taylor]: Taking taylor expansion of J in J 51.737 * [backup-simplify]: Simplify 0 into 0 51.737 * [backup-simplify]: Simplify 1 into 1 51.737 * [backup-simplify]: Simplify (* 1 1) into 1 51.737 * [backup-simplify]: Simplify (/ 1 1) into 1 51.738 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 51.738 * [backup-simplify]: Simplify 1/96 into 1/96 51.739 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 51.739 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 51.739 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 51.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.739 * [taylor]: Taking taylor expansion of 1/4 in J 51.739 * [backup-simplify]: Simplify 1/4 into 1/4 51.739 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.739 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.739 * [taylor]: Taking taylor expansion of J in J 51.740 * [backup-simplify]: Simplify 0 into 0 51.740 * [backup-simplify]: Simplify 1 into 1 51.740 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.740 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.740 * [taylor]: Taking taylor expansion of U in J 51.740 * [backup-simplify]: Simplify U into U 51.740 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.740 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.740 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.740 * [taylor]: Taking taylor expansion of 1/2 in J 51.740 * [backup-simplify]: Simplify 1/2 into 1/2 51.740 * [taylor]: Taking taylor expansion of K in J 51.740 * [backup-simplify]: Simplify K into K 51.740 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.740 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.740 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.740 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.740 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.741 * [backup-simplify]: Simplify (- 0) into 0 51.741 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.741 * [backup-simplify]: Simplify (* 1 1) into 1 51.741 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.741 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.741 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.742 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.742 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.742 * [taylor]: Taking taylor expansion of 1/4 in K 51.742 * [backup-simplify]: Simplify 1/4 into 1/4 51.742 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.742 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.742 * [taylor]: Taking taylor expansion of J in K 51.742 * [backup-simplify]: Simplify J into J 51.742 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.742 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.742 * [taylor]: Taking taylor expansion of U in K 51.742 * [backup-simplify]: Simplify U into U 51.742 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.742 * [taylor]: Taking taylor expansion of 1/2 in K 51.742 * [backup-simplify]: Simplify 1/2 into 1/2 51.742 * [taylor]: Taking taylor expansion of K in K 51.742 * [backup-simplify]: Simplify 0 into 0 51.742 * [backup-simplify]: Simplify 1 into 1 51.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.743 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.743 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.743 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.743 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.743 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.743 * [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))) 51.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.743 * [taylor]: Taking taylor expansion of 1/4 in U 51.743 * [backup-simplify]: Simplify 1/4 into 1/4 51.743 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.743 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.743 * [taylor]: Taking taylor expansion of J in U 51.743 * [backup-simplify]: Simplify J into J 51.743 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.744 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.744 * [taylor]: Taking taylor expansion of U in U 51.744 * [backup-simplify]: Simplify 0 into 0 51.744 * [backup-simplify]: Simplify 1 into 1 51.744 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.744 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.744 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.744 * [taylor]: Taking taylor expansion of 1/2 in U 51.744 * [backup-simplify]: Simplify 1/2 into 1/2 51.744 * [taylor]: Taking taylor expansion of K in U 51.744 * [backup-simplify]: Simplify K into K 51.744 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.744 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.744 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.745 * [backup-simplify]: Simplify (- 0) into 0 51.745 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.745 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.745 * [backup-simplify]: Simplify (* 1 1) into 1 51.745 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.746 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.746 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.746 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.746 * [taylor]: Taking taylor expansion of 1/4 in U 51.746 * [backup-simplify]: Simplify 1/4 into 1/4 51.746 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.746 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.746 * [taylor]: Taking taylor expansion of J in U 51.746 * [backup-simplify]: Simplify J into J 51.746 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.746 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.746 * [taylor]: Taking taylor expansion of U in U 51.746 * [backup-simplify]: Simplify 0 into 0 51.746 * [backup-simplify]: Simplify 1 into 1 51.746 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.746 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.746 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.746 * [taylor]: Taking taylor expansion of 1/2 in U 51.746 * [backup-simplify]: Simplify 1/2 into 1/2 51.746 * [taylor]: Taking taylor expansion of K in U 51.746 * [backup-simplify]: Simplify K into K 51.746 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.746 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.747 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.747 * [backup-simplify]: Simplify (- 0) into 0 51.747 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.747 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.747 * [backup-simplify]: Simplify (* 1 1) into 1 51.748 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.748 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.748 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.748 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.748 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 51.748 * [taylor]: Taking taylor expansion of 1/4 in K 51.748 * [backup-simplify]: Simplify 1/4 into 1/4 51.748 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 51.748 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.748 * [taylor]: Taking taylor expansion of J in K 51.748 * [backup-simplify]: Simplify J into J 51.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.748 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.748 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.749 * [taylor]: Taking taylor expansion of 1/2 in K 51.749 * [backup-simplify]: Simplify 1/2 into 1/2 51.749 * [taylor]: Taking taylor expansion of K in K 51.749 * [backup-simplify]: Simplify 0 into 0 51.749 * [backup-simplify]: Simplify 1 into 1 51.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.749 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.749 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.749 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.749 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.750 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.750 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 51.750 * [taylor]: Taking taylor expansion of 1/4 in J 51.750 * [backup-simplify]: Simplify 1/4 into 1/4 51.750 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 51.750 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.750 * [taylor]: Taking taylor expansion of J in J 51.750 * [backup-simplify]: Simplify 0 into 0 51.750 * [backup-simplify]: Simplify 1 into 1 51.750 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.750 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.750 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.750 * [taylor]: Taking taylor expansion of 1/2 in J 51.750 * [backup-simplify]: Simplify 1/2 into 1/2 51.750 * [taylor]: Taking taylor expansion of K in J 51.750 * [backup-simplify]: Simplify K into K 51.750 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.750 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.750 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.750 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.751 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.751 * [backup-simplify]: Simplify (- 0) into 0 51.751 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.751 * [backup-simplify]: Simplify (* 1 1) into 1 51.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.752 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 51.752 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 51.752 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 51.752 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.752 * [backup-simplify]: Simplify (+ 0) into 0 51.753 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.753 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.754 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.755 * [backup-simplify]: Simplify (- 0) into 0 51.755 * [backup-simplify]: Simplify (+ 0 0) into 0 51.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.757 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.758 * [taylor]: Taking taylor expansion of 0 in K 51.758 * [backup-simplify]: Simplify 0 into 0 51.758 * [taylor]: Taking taylor expansion of 0 in J 51.758 * [backup-simplify]: Simplify 0 into 0 51.758 * [backup-simplify]: Simplify 0 into 0 51.758 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.759 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.759 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.759 * [taylor]: Taking taylor expansion of 0 in J 51.759 * [backup-simplify]: Simplify 0 into 0 51.759 * [backup-simplify]: Simplify 0 into 0 51.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.760 * [backup-simplify]: Simplify (+ 0) into 0 51.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.763 * [backup-simplify]: Simplify (- 0) into 0 51.763 * [backup-simplify]: Simplify (+ 0 0) into 0 51.763 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.763 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 51.764 * [backup-simplify]: Simplify 0 into 0 51.765 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.766 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.768 * [backup-simplify]: Simplify (- 0) into 0 51.768 * [backup-simplify]: Simplify (+ 0 0) into 0 51.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.771 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.772 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.772 * [taylor]: Taking taylor expansion of 0 in K 51.772 * [backup-simplify]: Simplify 0 into 0 51.772 * [taylor]: Taking taylor expansion of 0 in J 51.772 * [backup-simplify]: Simplify 0 into 0 51.772 * [backup-simplify]: Simplify 0 into 0 51.772 * [taylor]: Taking taylor expansion of 0 in J 51.772 * [backup-simplify]: Simplify 0 into 0 51.772 * [backup-simplify]: Simplify 0 into 0 51.773 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.774 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.775 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.775 * [taylor]: Taking taylor expansion of 0 in J 51.775 * [backup-simplify]: Simplify 0 into 0 51.775 * [backup-simplify]: Simplify 0 into 0 51.775 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.776 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 51.776 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 51.776 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.776 * [taylor]: Taking taylor expansion of 1/4 in J 51.776 * [backup-simplify]: Simplify 1/4 into 1/4 51.776 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.776 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.776 * [taylor]: Taking taylor expansion of J in J 51.776 * [backup-simplify]: Simplify 0 into 0 51.776 * [backup-simplify]: Simplify 1 into 1 51.776 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.776 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.776 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.776 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.776 * [taylor]: Taking taylor expansion of -1/2 in J 51.776 * [backup-simplify]: Simplify -1/2 into -1/2 51.776 * [taylor]: Taking taylor expansion of K in J 51.776 * [backup-simplify]: Simplify K into K 51.776 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.776 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.777 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.777 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.777 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.782 * [backup-simplify]: Simplify (- 0) into 0 51.782 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.782 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.782 * [taylor]: Taking taylor expansion of U in J 51.782 * [backup-simplify]: Simplify U into U 51.783 * [backup-simplify]: Simplify (* 1 1) into 1 51.783 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.783 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.783 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.783 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.783 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.783 * [taylor]: Taking taylor expansion of 1/4 in K 51.783 * [backup-simplify]: Simplify 1/4 into 1/4 51.783 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.783 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.783 * [taylor]: Taking taylor expansion of J in K 51.783 * [backup-simplify]: Simplify J into J 51.783 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.783 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.783 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.783 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.783 * [taylor]: Taking taylor expansion of -1/2 in K 51.783 * [backup-simplify]: Simplify -1/2 into -1/2 51.783 * [taylor]: Taking taylor expansion of K in K 51.784 * [backup-simplify]: Simplify 0 into 0 51.784 * [backup-simplify]: Simplify 1 into 1 51.784 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.784 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.784 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.784 * [taylor]: Taking taylor expansion of U in K 51.784 * [backup-simplify]: Simplify U into U 51.784 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.784 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.784 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.785 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.785 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.785 * [taylor]: Taking taylor expansion of 1/4 in U 51.785 * [backup-simplify]: Simplify 1/4 into 1/4 51.785 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.785 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.785 * [taylor]: Taking taylor expansion of J in U 51.785 * [backup-simplify]: Simplify J into J 51.785 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.785 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.785 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.785 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.785 * [taylor]: Taking taylor expansion of -1/2 in U 51.785 * [backup-simplify]: Simplify -1/2 into -1/2 51.785 * [taylor]: Taking taylor expansion of K in U 51.785 * [backup-simplify]: Simplify K into K 51.785 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.785 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.785 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.786 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.786 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.786 * [backup-simplify]: Simplify (- 0) into 0 51.786 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.786 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.786 * [taylor]: Taking taylor expansion of U in U 51.786 * [backup-simplify]: Simplify 0 into 0 51.786 * [backup-simplify]: Simplify 1 into 1 51.786 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.786 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.787 * [backup-simplify]: Simplify (* 1 1) into 1 51.787 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.787 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.787 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.787 * [taylor]: Taking taylor expansion of 1/4 in U 51.787 * [backup-simplify]: Simplify 1/4 into 1/4 51.787 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.787 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.787 * [taylor]: Taking taylor expansion of J in U 51.787 * [backup-simplify]: Simplify J into J 51.787 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.787 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.787 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.787 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.787 * [taylor]: Taking taylor expansion of -1/2 in U 51.788 * [backup-simplify]: Simplify -1/2 into -1/2 51.788 * [taylor]: Taking taylor expansion of K in U 51.788 * [backup-simplify]: Simplify K into K 51.788 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.788 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.788 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.788 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.788 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.788 * [backup-simplify]: Simplify (- 0) into 0 51.788 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.788 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.789 * [taylor]: Taking taylor expansion of U in U 51.789 * [backup-simplify]: Simplify 0 into 0 51.789 * [backup-simplify]: Simplify 1 into 1 51.789 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.789 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.789 * [backup-simplify]: Simplify (* 1 1) into 1 51.789 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.789 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.790 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.790 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 51.790 * [taylor]: Taking taylor expansion of 1/4 in K 51.790 * [backup-simplify]: Simplify 1/4 into 1/4 51.790 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 51.790 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.790 * [taylor]: Taking taylor expansion of J in K 51.790 * [backup-simplify]: Simplify J into J 51.790 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.790 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.790 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.790 * [taylor]: Taking taylor expansion of -1/2 in K 51.790 * [backup-simplify]: Simplify -1/2 into -1/2 51.790 * [taylor]: Taking taylor expansion of K in K 51.790 * [backup-simplify]: Simplify 0 into 0 51.790 * [backup-simplify]: Simplify 1 into 1 51.791 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.791 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.791 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.791 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.791 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.791 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 51.791 * [taylor]: Taking taylor expansion of 1/4 in J 51.791 * [backup-simplify]: Simplify 1/4 into 1/4 51.791 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 51.791 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.791 * [taylor]: Taking taylor expansion of J in J 51.791 * [backup-simplify]: Simplify 0 into 0 51.791 * [backup-simplify]: Simplify 1 into 1 51.792 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.792 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.792 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.792 * [taylor]: Taking taylor expansion of -1/2 in J 51.792 * [backup-simplify]: Simplify -1/2 into -1/2 51.792 * [taylor]: Taking taylor expansion of K in J 51.792 * [backup-simplify]: Simplify K into K 51.792 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.792 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.792 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.792 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.792 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.792 * [backup-simplify]: Simplify (- 0) into 0 51.793 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.793 * [backup-simplify]: Simplify (* 1 1) into 1 51.793 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.793 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 51.793 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 51.793 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 51.794 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.795 * [backup-simplify]: Simplify (+ 0) into 0 51.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.797 * [backup-simplify]: Simplify (- 0) into 0 51.797 * [backup-simplify]: Simplify (+ 0 0) into 0 51.797 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.798 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.798 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.799 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.799 * [taylor]: Taking taylor expansion of 0 in K 51.799 * [backup-simplify]: Simplify 0 into 0 51.799 * [taylor]: Taking taylor expansion of 0 in J 51.799 * [backup-simplify]: Simplify 0 into 0 51.799 * [backup-simplify]: Simplify 0 into 0 51.799 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.800 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.800 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.801 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.801 * [taylor]: Taking taylor expansion of 0 in J 51.801 * [backup-simplify]: Simplify 0 into 0 51.801 * [backup-simplify]: Simplify 0 into 0 51.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.802 * [backup-simplify]: Simplify (+ 0) into 0 51.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.803 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.804 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.804 * [backup-simplify]: Simplify (- 0) into 0 51.805 * [backup-simplify]: Simplify (+ 0 0) into 0 51.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.805 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 51.806 * [backup-simplify]: Simplify 0 into 0 51.806 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.810 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.811 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.811 * [backup-simplify]: Simplify (- 0) into 0 51.812 * [backup-simplify]: Simplify (+ 0 0) into 0 51.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.812 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.813 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.813 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.813 * [taylor]: Taking taylor expansion of 0 in K 51.813 * [backup-simplify]: Simplify 0 into 0 51.813 * [taylor]: Taking taylor expansion of 0 in J 51.813 * [backup-simplify]: Simplify 0 into 0 51.813 * [backup-simplify]: Simplify 0 into 0 51.813 * [taylor]: Taking taylor expansion of 0 in J 51.814 * [backup-simplify]: Simplify 0 into 0 51.814 * [backup-simplify]: Simplify 0 into 0 51.814 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.814 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.815 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.815 * [taylor]: Taking taylor expansion of 0 in J 51.815 * [backup-simplify]: Simplify 0 into 0 51.815 * [backup-simplify]: Simplify 0 into 0 51.815 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.815 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 2 2) 51.815 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 51.815 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 51.815 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 51.816 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.816 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.816 * [taylor]: Taking taylor expansion of 1/2 in J 51.816 * [backup-simplify]: Simplify 1/2 into 1/2 51.816 * [taylor]: Taking taylor expansion of K in J 51.816 * [backup-simplify]: Simplify K into K 51.816 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.816 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.816 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.816 * [taylor]: Taking taylor expansion of J in J 51.816 * [backup-simplify]: Simplify 0 into 0 51.816 * [backup-simplify]: Simplify 1 into 1 51.816 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.816 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.816 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.816 * [taylor]: Taking taylor expansion of 1/2 in K 51.816 * [backup-simplify]: Simplify 1/2 into 1/2 51.816 * [taylor]: Taking taylor expansion of K in K 51.816 * [backup-simplify]: Simplify 0 into 0 51.816 * [backup-simplify]: Simplify 1 into 1 51.816 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.817 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.817 * [taylor]: Taking taylor expansion of J in K 51.817 * [backup-simplify]: Simplify J into J 51.817 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.817 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.817 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.817 * [taylor]: Taking taylor expansion of 1/2 in K 51.817 * [backup-simplify]: Simplify 1/2 into 1/2 51.817 * [taylor]: Taking taylor expansion of K in K 51.817 * [backup-simplify]: Simplify 0 into 0 51.817 * [backup-simplify]: Simplify 1 into 1 51.817 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.817 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.817 * [taylor]: Taking taylor expansion of J in K 51.817 * [backup-simplify]: Simplify J into J 51.818 * [backup-simplify]: Simplify (* 1 J) into J 51.818 * [taylor]: Taking taylor expansion of J in J 51.818 * [backup-simplify]: Simplify 0 into 0 51.818 * [backup-simplify]: Simplify 1 into 1 51.818 * [backup-simplify]: Simplify 0 into 0 51.818 * [backup-simplify]: Simplify (+ 0) into 0 51.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.818 * [taylor]: Taking taylor expansion of 0 in J 51.818 * [backup-simplify]: Simplify 0 into 0 51.818 * [backup-simplify]: Simplify 0 into 0 51.818 * [backup-simplify]: Simplify 1 into 1 51.819 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 51.819 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 51.819 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 51.819 * [taylor]: Taking taylor expansion of 1/8 in J 51.819 * [backup-simplify]: Simplify 1/8 into 1/8 51.819 * [taylor]: Taking taylor expansion of J in J 51.819 * [backup-simplify]: Simplify 0 into 0 51.819 * [backup-simplify]: Simplify 1 into 1 51.820 * [backup-simplify]: Simplify (* 1/8 0) into 0 51.820 * [backup-simplify]: Simplify (- 0) into 0 51.820 * [backup-simplify]: Simplify 0 into 0 51.820 * [backup-simplify]: Simplify 0 into 0 51.820 * [backup-simplify]: Simplify 0 into 0 51.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.821 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 51.822 * [taylor]: Taking taylor expansion of 0 in J 51.822 * [backup-simplify]: Simplify 0 into 0 51.822 * [backup-simplify]: Simplify 0 into 0 51.823 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 51.823 * [backup-simplify]: Simplify (- 1/8) into -1/8 51.823 * [backup-simplify]: Simplify -1/8 into -1/8 51.823 * [backup-simplify]: Simplify 0 into 0 51.823 * [backup-simplify]: Simplify 0 into 0 51.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 51.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 51.826 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 51.826 * [taylor]: Taking taylor expansion of 1/384 in J 51.826 * [backup-simplify]: Simplify 1/384 into 1/384 51.826 * [taylor]: Taking taylor expansion of J in J 51.826 * [backup-simplify]: Simplify 0 into 0 51.826 * [backup-simplify]: Simplify 1 into 1 51.827 * [backup-simplify]: Simplify (* 1/384 0) into 0 51.827 * [backup-simplify]: Simplify 0 into 0 51.827 * [backup-simplify]: Simplify 0 into 0 51.827 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 51.827 * [backup-simplify]: Simplify (- 0) into 0 51.827 * [backup-simplify]: Simplify 0 into 0 51.827 * [backup-simplify]: Simplify 0 into 0 51.828 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 51.828 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 51.828 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 51.828 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.828 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.828 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.828 * [taylor]: Taking taylor expansion of 1/2 in J 51.828 * [backup-simplify]: Simplify 1/2 into 1/2 51.828 * [taylor]: Taking taylor expansion of K in J 51.828 * [backup-simplify]: Simplify K into K 51.828 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.828 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.828 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.828 * [taylor]: Taking taylor expansion of J in J 51.828 * [backup-simplify]: Simplify 0 into 0 51.828 * [backup-simplify]: Simplify 1 into 1 51.828 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.828 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.828 * [backup-simplify]: Simplify (- 0) into 0 51.829 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.829 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.829 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.829 * [taylor]: Taking taylor expansion of 1/2 in K 51.829 * [backup-simplify]: Simplify 1/2 into 1/2 51.829 * [taylor]: Taking taylor expansion of K in K 51.829 * [backup-simplify]: Simplify 0 into 0 51.829 * [backup-simplify]: Simplify 1 into 1 51.829 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.829 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.829 * [taylor]: Taking taylor expansion of J in K 51.829 * [backup-simplify]: Simplify J into J 51.829 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.829 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.829 * [taylor]: Taking taylor expansion of 1/2 in K 51.829 * [backup-simplify]: Simplify 1/2 into 1/2 51.829 * [taylor]: Taking taylor expansion of K in K 51.829 * [backup-simplify]: Simplify 0 into 0 51.829 * [backup-simplify]: Simplify 1 into 1 51.830 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.830 * [taylor]: Taking taylor expansion of J in K 51.830 * [backup-simplify]: Simplify J into J 51.830 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.830 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.830 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.830 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.830 * [taylor]: Taking taylor expansion of 1/2 in J 51.830 * [backup-simplify]: Simplify 1/2 into 1/2 51.830 * [taylor]: Taking taylor expansion of K in J 51.830 * [backup-simplify]: Simplify K into K 51.830 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.830 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.830 * [taylor]: Taking taylor expansion of J in J 51.830 * [backup-simplify]: Simplify 0 into 0 51.830 * [backup-simplify]: Simplify 1 into 1 51.830 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.830 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.831 * [backup-simplify]: Simplify (- 0) into 0 51.831 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.831 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.831 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.831 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 51.831 * [taylor]: Taking taylor expansion of 0 in J 51.831 * [backup-simplify]: Simplify 0 into 0 51.831 * [backup-simplify]: Simplify (+ 0) into 0 51.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.832 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.833 * [backup-simplify]: Simplify (- 0) into 0 51.833 * [backup-simplify]: Simplify (+ 0 0) into 0 51.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 51.833 * [backup-simplify]: Simplify 0 into 0 51.833 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.834 * [taylor]: Taking taylor expansion of 0 in J 51.834 * [backup-simplify]: Simplify 0 into 0 51.834 * [backup-simplify]: Simplify 0 into 0 51.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.835 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.836 * [backup-simplify]: Simplify (- 0) into 0 51.836 * [backup-simplify]: Simplify (+ 0 0) into 0 51.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.837 * [backup-simplify]: Simplify 0 into 0 51.837 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.837 * [taylor]: Taking taylor expansion of 0 in J 51.837 * [backup-simplify]: Simplify 0 into 0 51.837 * [backup-simplify]: Simplify 0 into 0 51.837 * [backup-simplify]: Simplify 0 into 0 51.838 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.838 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.840 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.840 * [backup-simplify]: Simplify (- 0) into 0 51.840 * [backup-simplify]: Simplify (+ 0 0) into 0 51.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.841 * [backup-simplify]: Simplify 0 into 0 51.841 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 51.841 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 51.841 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 51.841 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 51.841 * [taylor]: Taking taylor expansion of -1 in J 51.841 * [backup-simplify]: Simplify -1 into -1 51.841 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.842 * [taylor]: Taking taylor expansion of -1/2 in J 51.842 * [backup-simplify]: Simplify -1/2 into -1/2 51.842 * [taylor]: Taking taylor expansion of K in J 51.842 * [backup-simplify]: Simplify K into K 51.842 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.842 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.842 * [taylor]: Taking taylor expansion of J in J 51.842 * [backup-simplify]: Simplify 0 into 0 51.842 * [backup-simplify]: Simplify 1 into 1 51.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.842 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.842 * [backup-simplify]: Simplify (- 0) into 0 51.842 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.842 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.842 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 51.842 * [taylor]: Taking taylor expansion of -1 in K 51.842 * [backup-simplify]: Simplify -1 into -1 51.842 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.842 * [taylor]: Taking taylor expansion of -1/2 in K 51.842 * [backup-simplify]: Simplify -1/2 into -1/2 51.842 * [taylor]: Taking taylor expansion of K in K 51.842 * [backup-simplify]: Simplify 0 into 0 51.842 * [backup-simplify]: Simplify 1 into 1 51.843 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.843 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.843 * [taylor]: Taking taylor expansion of J in K 51.843 * [backup-simplify]: Simplify J into J 51.843 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.843 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 51.843 * [taylor]: Taking taylor expansion of -1 in K 51.843 * [backup-simplify]: Simplify -1 into -1 51.843 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.843 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.843 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.843 * [taylor]: Taking taylor expansion of -1/2 in K 51.843 * [backup-simplify]: Simplify -1/2 into -1/2 51.843 * [taylor]: Taking taylor expansion of K in K 51.843 * [backup-simplify]: Simplify 0 into 0 51.843 * [backup-simplify]: Simplify 1 into 1 51.843 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.843 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.843 * [taylor]: Taking taylor expansion of J in K 51.843 * [backup-simplify]: Simplify J into J 51.843 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.844 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 51.844 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 51.844 * [taylor]: Taking taylor expansion of -1 in J 51.844 * [backup-simplify]: Simplify -1 into -1 51.844 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.844 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.844 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.844 * [taylor]: Taking taylor expansion of -1/2 in J 51.844 * [backup-simplify]: Simplify -1/2 into -1/2 51.844 * [taylor]: Taking taylor expansion of K in J 51.844 * [backup-simplify]: Simplify K into K 51.844 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.844 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.844 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.844 * [taylor]: Taking taylor expansion of J in J 51.844 * [backup-simplify]: Simplify 0 into 0 51.844 * [backup-simplify]: Simplify 1 into 1 51.844 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.844 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.845 * [backup-simplify]: Simplify (- 0) into 0 51.845 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.845 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.845 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 51.845 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 51.845 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 51.846 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 51.846 * [taylor]: Taking taylor expansion of 0 in J 51.846 * [backup-simplify]: Simplify 0 into 0 51.847 * [backup-simplify]: Simplify (+ 0) into 0 51.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.847 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.849 * [backup-simplify]: Simplify (- 0) into 0 51.849 * [backup-simplify]: Simplify (+ 0 0) into 0 51.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 51.851 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 51.851 * [backup-simplify]: Simplify 0 into 0 51.851 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.852 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 51.852 * [taylor]: Taking taylor expansion of 0 in J 51.852 * [backup-simplify]: Simplify 0 into 0 51.852 * [backup-simplify]: Simplify 0 into 0 51.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.854 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.855 * [backup-simplify]: Simplify (- 0) into 0 51.856 * [backup-simplify]: Simplify (+ 0 0) into 0 51.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.858 * [backup-simplify]: Simplify 0 into 0 51.858 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.859 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 51.859 * [taylor]: Taking taylor expansion of 0 in J 51.859 * [backup-simplify]: Simplify 0 into 0 51.859 * [backup-simplify]: Simplify 0 into 0 51.859 * [backup-simplify]: Simplify 0 into 0 51.860 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.861 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.864 * [backup-simplify]: Simplify (- 0) into 0 51.864 * [backup-simplify]: Simplify (+ 0 0) into 0 51.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.867 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 51.867 * [backup-simplify]: Simplify 0 into 0 51.868 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 51.868 * * * [progress]: simplifying candidates 51.868 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 51.868 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 51.868 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 51.868 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 51.868 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 51.868 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 51.868 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 51.869 * [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)))) 51.869 * * [simplify]: iters left: 6 (15 enodes) 51.877 * * [simplify]: iters left: 5 (59 enodes) 51.896 * * [simplify]: iters left: 4 (112 enodes) 51.939 * * [simplify]: iters left: 3 (365 enodes) 52.228 * * [simplify]: Extracting #0: cost 1 inf + 0 52.228 * * [simplify]: Extracting #1: cost 4 inf + 0 52.228 * * [simplify]: Extracting #2: cost 7 inf + 0 52.228 * * [simplify]: Extracting #3: cost 10 inf + 0 52.228 * * [simplify]: Extracting #4: cost 122 inf + 1 52.229 * * [simplify]: Extracting #5: cost 241 inf + 89 52.231 * * [simplify]: Extracting #6: cost 203 inf + 3666 52.236 * * [simplify]: Extracting #7: cost 128 inf + 17960 52.248 * * [simplify]: Extracting #8: cost 13 inf + 45848 52.263 * * [simplify]: Extracting #9: cost 0 inf + 48961 52.291 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 52.291 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 52.291 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 52.292 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 52.292 * * [simplify]: iters left: 6 (14 enodes) 52.299 * * [simplify]: iters left: 5 (55 enodes) 52.309 * * [simplify]: iters left: 4 (108 enodes) 52.337 * * [simplify]: iters left: 3 (363 enodes) 52.552 * * [simplify]: Extracting #0: cost 1 inf + 0 52.552 * * [simplify]: Extracting #1: cost 3 inf + 0 52.552 * * [simplify]: Extracting #2: cost 5 inf + 0 52.552 * * [simplify]: Extracting #3: cost 8 inf + 0 52.552 * * [simplify]: Extracting #4: cost 123 inf + 1 52.553 * * [simplify]: Extracting #5: cost 234 inf + 420 52.555 * * [simplify]: Extracting #6: cost 203 inf + 3175 52.559 * * [simplify]: Extracting #7: cost 127 inf + 18949 52.580 * * [simplify]: Extracting #8: cost 7 inf + 46860 52.603 * * [simplify]: Extracting #9: cost 0 inf + 48232 52.618 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 52.619 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 52.619 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 52.619 * [simplify]: Simplifying (sqrt 1) 52.619 * * [simplify]: iters left: 1 (2 enodes) 52.622 * * [simplify]: Extracting #0: cost 1 inf + 0 52.622 * * [simplify]: Extracting #1: cost 0 inf + 1 52.622 * [simplify]: Simplified to 1 52.622 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)) 52.622 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 52.622 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 52.622 * * [simplify]: iters left: 6 (16 enodes) 52.629 * * [simplify]: iters left: 5 (70 enodes) 52.658 * * [simplify]: iters left: 4 (176 enodes) 52.781 * * [simplify]: Extracting #0: cost 1 inf + 0 52.782 * * [simplify]: Extracting #1: cost 3 inf + 0 52.782 * * [simplify]: Extracting #2: cost 6 inf + 0 52.782 * * [simplify]: Extracting #3: cost 103 inf + 1 52.784 * * [simplify]: Extracting #4: cost 306 inf + 6 52.786 * * [simplify]: Extracting #5: cost 338 inf + 1810 52.795 * * [simplify]: Extracting #6: cost 242 inf + 27932 52.829 * * [simplify]: Extracting #7: cost 28 inf + 100762 52.876 * * [simplify]: Extracting #8: cost 0 inf + 110036 52.922 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 52.922 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 52.923 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 52.923 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 52.924 * * [simplify]: iters left: 6 (15 enodes) 52.935 * * [simplify]: iters left: 5 (62 enodes) 52.960 * * [simplify]: iters left: 4 (150 enodes) 53.077 * * [simplify]: Extracting #0: cost 1 inf + 0 53.077 * * [simplify]: Extracting #1: cost 3 inf + 0 53.077 * * [simplify]: Extracting #2: cost 9 inf + 0 53.078 * * [simplify]: Extracting #3: cost 105 inf + 2 53.079 * * [simplify]: Extracting #4: cost 286 inf + 6 53.082 * * [simplify]: Extracting #5: cost 280 inf + 1923 53.091 * * [simplify]: Extracting #6: cost 191 inf + 25190 53.120 * * [simplify]: Extracting #7: cost 26 inf + 76271 53.156 * * [simplify]: Extracting #8: cost 0 inf + 85028 53.197 * [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)) 53.197 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)) 53.198 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 53.198 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 53.198 * * [simplify]: iters left: 6 (12 enodes) 53.203 * * [simplify]: iters left: 5 (49 enodes) 53.212 * * [simplify]: iters left: 4 (102 enodes) 53.242 * * [simplify]: iters left: 3 (356 enodes) 53.448 * * [simplify]: Extracting #0: cost 1 inf + 0 53.448 * * [simplify]: Extracting #1: cost 4 inf + 0 53.448 * * [simplify]: Extracting #2: cost 116 inf + 1 53.449 * * [simplify]: Extracting #3: cost 234 inf + 254 53.451 * * [simplify]: Extracting #4: cost 192 inf + 4198 53.459 * * [simplify]: Extracting #5: cost 121 inf + 19235 53.491 * * [simplify]: Extracting #6: cost 5 inf + 46310 53.520 * * [simplify]: Extracting #7: cost 0 inf + 47117 53.550 * * [simplify]: Extracting #8: cost 0 inf + 46998 53.579 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 53.579 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (cos (/ K 2))) J)) 53.579 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 53.580 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 53.580 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 53.580 * * [simplify]: iters left: 6 (13 enodes) 53.587 * * [simplify]: iters left: 5 (52 enodes) 53.606 * * [simplify]: iters left: 4 (105 enodes) 53.650 * * [simplify]: iters left: 3 (359 enodes) 53.885 * * [simplify]: Extracting #0: cost 1 inf + 0 53.885 * * [simplify]: Extracting #1: cost 3 inf + 0 53.885 * * [simplify]: Extracting #2: cost 6 inf + 0 53.885 * * [simplify]: Extracting #3: cost 118 inf + 1 53.887 * * [simplify]: Extracting #4: cost 235 inf + 336 53.891 * * [simplify]: Extracting #5: cost 193 inf + 4402 53.898 * * [simplify]: Extracting #6: cost 119 inf + 19348 53.924 * * [simplify]: Extracting #7: cost 7 inf + 46040 53.955 * * [simplify]: Extracting #8: cost 0 inf + 47488 53.978 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 53.979 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (cos (/ K 2))) J)) 53.979 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 53.979 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))> 53.979 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 53.979 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 53.979 * * [simplify]: iters left: 6 (17 enodes) 53.984 * * [simplify]: iters left: 5 (70 enodes) 53.997 * * [simplify]: iters left: 4 (145 enodes) 54.062 * * [simplify]: iters left: 3 (435 enodes) 54.361 * * [simplify]: Extracting #0: cost 1 inf + 0 54.361 * * [simplify]: Extracting #1: cost 16 inf + 0 54.361 * * [simplify]: Extracting #2: cost 28 inf + 2 54.361 * * [simplify]: Extracting #3: cost 33 inf + 44 54.361 * * [simplify]: Extracting #4: cost 142 inf + 89 54.363 * * [simplify]: Extracting #5: cost 238 inf + 3391 54.380 * * [simplify]: Extracting #6: cost 74 inf + 36414 54.400 * * [simplify]: Extracting #7: cost 1 inf + 54199 54.417 * * [simplify]: Extracting #8: cost 0 inf + 54240 54.436 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 54.436 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 54.436 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 54.437 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 54.437 * * [simplify]: iters left: 6 (17 enodes) 54.442 * * [simplify]: iters left: 5 (70 enodes) 54.454 * * [simplify]: iters left: 4 (145 enodes) 54.519 * * [simplify]: iters left: 3 (435 enodes) 54.848 * * [simplify]: Extracting #0: cost 1 inf + 0 54.848 * * [simplify]: Extracting #1: cost 16 inf + 0 54.848 * * [simplify]: Extracting #2: cost 28 inf + 2 54.848 * * [simplify]: Extracting #3: cost 33 inf + 44 54.848 * * [simplify]: Extracting #4: cost 142 inf + 89 54.850 * * [simplify]: Extracting #5: cost 238 inf + 3391 54.858 * * [simplify]: Extracting #6: cost 74 inf + 36414 54.881 * * [simplify]: Extracting #7: cost 1 inf + 54199 54.903 * * [simplify]: Extracting #8: cost 0 inf + 54240 54.919 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 54.919 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 54.920 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 54.920 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 54.920 * * [simplify]: iters left: 6 (17 enodes) 54.925 * * [simplify]: iters left: 5 (70 enodes) 54.938 * * [simplify]: iters left: 4 (145 enodes) 54.990 * * [simplify]: iters left: 3 (435 enodes) 55.254 * * [simplify]: Extracting #0: cost 1 inf + 0 55.254 * * [simplify]: Extracting #1: cost 16 inf + 0 55.254 * * [simplify]: Extracting #2: cost 28 inf + 2 55.254 * * [simplify]: Extracting #3: cost 33 inf + 44 55.255 * * [simplify]: Extracting #4: cost 142 inf + 89 55.257 * * [simplify]: Extracting #5: cost 238 inf + 3391 55.272 * * [simplify]: Extracting #6: cost 74 inf + 36414 55.303 * * [simplify]: Extracting #7: cost 1 inf + 54199 55.328 * * [simplify]: Extracting #8: cost 0 inf + 54240 55.345 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 55.345 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 55.345 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 55.345 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 55.345 * [simplify]: Simplifying (+ (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (cos (/ K 2)))) (log J)) 55.346 * * [simplify]: iters left: 6 (21 enodes) 55.355 * * [simplify]: iters left: 5 (83 enodes) 55.383 * * [simplify]: iters left: 4 (160 enodes) 55.456 * * [simplify]: iters left: 3 (452 enodes) 55.760 * * [simplify]: Extracting #0: cost 1 inf + 0 55.760 * * [simplify]: Extracting #1: cost 16 inf + 0 55.760 * * [simplify]: Extracting #2: cost 34 inf + 0 55.760 * * [simplify]: Extracting #3: cost 35 inf + 73 55.761 * * [simplify]: Extracting #4: cost 36 inf + 650 55.761 * * [simplify]: Extracting #5: cost 148 inf + 653 55.765 * * [simplify]: Extracting #6: cost 240 inf + 4224 55.783 * * [simplify]: Extracting #7: cost 51 inf + 45161 55.804 * * [simplify]: Extracting #8: cost 0 inf + 60020 55.836 * * [simplify]: Extracting #9: cost 0 inf + 59902 55.864 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 55.864 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)))) 55.864 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 55.864 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 55.864 * * [simplify]: iters left: 6 (20 enodes) 55.870 * * [simplify]: iters left: 5 (81 enodes) 55.885 * * [simplify]: iters left: 4 (153 enodes) 55.945 * * [simplify]: iters left: 3 (439 enodes) 56.209 * * [simplify]: Extracting #0: cost 1 inf + 0 56.209 * * [simplify]: Extracting #1: cost 16 inf + 0 56.210 * * [simplify]: Extracting #2: cost 35 inf + 0 56.210 * * [simplify]: Extracting #3: cost 38 inf + 2 56.210 * * [simplify]: Extracting #4: cost 41 inf + 326 56.210 * * [simplify]: Extracting #5: cost 145 inf + 653 56.212 * * [simplify]: Extracting #6: cost 244 inf + 3656 56.224 * * [simplify]: Extracting #7: cost 77 inf + 37290 56.256 * * [simplify]: Extracting #8: cost 3 inf + 58370 56.274 * * [simplify]: Extracting #9: cost 0 inf + 59855 56.300 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 56.300 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))))) 56.300 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 56.300 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 56.301 * * [simplify]: iters left: 6 (19 enodes) 56.306 * * [simplify]: iters left: 5 (78 enodes) 56.321 * * [simplify]: iters left: 4 (154 enodes) 56.369 * * [simplify]: iters left: 3 (439 enodes) 56.666 * * [simplify]: Extracting #0: cost 1 inf + 0 56.666 * * [simplify]: Extracting #1: cost 25 inf + 0 56.666 * * [simplify]: Extracting #2: cost 45 inf + 0 56.666 * * [simplify]: Extracting #3: cost 51 inf + 2 56.666 * * [simplify]: Extracting #4: cost 54 inf + 286 56.667 * * [simplify]: Extracting #5: cost 161 inf + 471 56.669 * * [simplify]: Extracting #6: cost 250 inf + 5584 56.691 * * [simplify]: Extracting #7: cost 59 inf + 46973 56.726 * * [simplify]: Extracting #8: cost 11 inf + 59184 56.764 * * [simplify]: Extracting #9: cost 0 inf + 65218 56.801 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 56.801 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 56.802 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 56.802 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 56.802 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 56.802 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 56.802 * * [simplify]: iters left: 6 (25 enodes) 56.818 * * [simplify]: iters left: 5 (106 enodes) 56.855 * * [simplify]: iters left: 4 (294 enodes) 57.032 * * [simplify]: Extracting #0: cost 1 inf + 0 57.032 * * [simplify]: Extracting #1: cost 67 inf + 0 57.033 * * [simplify]: Extracting #2: cost 298 inf + 45 57.035 * * [simplify]: Extracting #3: cost 398 inf + 499 57.040 * * [simplify]: Extracting #4: cost 356 inf + 24063 57.065 * * [simplify]: Extracting #5: cost 102 inf + 115031 57.127 * * [simplify]: Extracting #6: cost 1 inf + 163077 57.186 * * [simplify]: Extracting #7: cost 0 inf + 163502 57.257 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 57.258 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)))) 57.258 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 57.258 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 57.259 * * [simplify]: iters left: 6 (23 enodes) 57.274 * * [simplify]: iters left: 5 (106 enodes) 57.316 * * [simplify]: iters left: 4 (274 enodes) 57.451 * * [simplify]: Extracting #0: cost 1 inf + 0 57.451 * * [simplify]: Extracting #1: cost 52 inf + 0 57.452 * * [simplify]: Extracting #2: cost 236 inf + 2 57.453 * * [simplify]: Extracting #3: cost 253 inf + 300 57.454 * * [simplify]: Extracting #4: cost 277 inf + 4264 57.460 * * [simplify]: Extracting #5: cost 262 inf + 26694 57.517 * * [simplify]: Extracting #6: cost 57 inf + 109963 57.593 * * [simplify]: Extracting #7: cost 0 inf + 132238 57.672 * * [simplify]: Extracting #8: cost 0 inf + 131870 57.753 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 57.753 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) 57.753 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 57.754 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 57.754 * * [simplify]: iters left: 6 (21 enodes) 57.766 * * [simplify]: iters left: 5 (96 enodes) 57.805 * * [simplify]: iters left: 4 (277 enodes) 57.940 * * [simplify]: Extracting #0: cost 1 inf + 0 57.940 * * [simplify]: Extracting #1: cost 49 inf + 0 57.941 * * [simplify]: Extracting #2: cost 229 inf + 43 57.942 * * [simplify]: Extracting #3: cost 246 inf + 373 57.944 * * [simplify]: Extracting #4: cost 275 inf + 3570 57.950 * * [simplify]: Extracting #5: cost 247 inf + 31854 57.990 * * [simplify]: Extracting #6: cost 56 inf + 108672 58.044 * * [simplify]: Extracting #7: cost 0 inf + 132856 58.120 * * [simplify]: Extracting #8: cost 0 inf + 132816 58.195 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 58.196 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))))) 58.196 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 58.196 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 58.196 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 58.196 * * * * [progress]: [ 32 / 142 ] simplifiying candidate # 58.196 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 58.197 * [simplify]: Simplifying (cbrt J) 58.197 * * [simplify]: iters left: 1 (2 enodes) 58.198 * * [simplify]: Extracting #0: cost 1 inf + 0 58.198 * * [simplify]: Extracting #1: cost 3 inf + 0 58.198 * * [simplify]: Extracting #2: cost 2 inf + 1 58.198 * * [simplify]: Extracting #3: cost 0 inf + 163 58.198 * [simplify]: Simplified to (cbrt J) 58.198 * [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))) 58.198 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 58.198 * [simplify]: Simplifying (sqrt J) 58.198 * * [simplify]: iters left: 1 (2 enodes) 58.199 * * [simplify]: Extracting #0: cost 1 inf + 0 58.199 * * [simplify]: Extracting #1: cost 3 inf + 0 58.199 * * [simplify]: Extracting #2: cost 2 inf + 1 58.199 * * [simplify]: Extracting #3: cost 0 inf + 83 58.199 * [simplify]: Simplified to (sqrt J) 58.199 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J))) 58.200 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 58.200 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 58.200 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 58.200 * * [simplify]: iters left: 6 (15 enodes) 58.209 * * [simplify]: iters left: 5 (59 enodes) 58.229 * * [simplify]: iters left: 4 (112 enodes) 58.285 * * [simplify]: iters left: 3 (365 enodes) 58.527 * * [simplify]: Extracting #0: cost 1 inf + 0 58.527 * * [simplify]: Extracting #1: cost 4 inf + 0 58.527 * * [simplify]: Extracting #2: cost 5 inf + 1 58.527 * * [simplify]: Extracting #3: cost 8 inf + 1 58.527 * * [simplify]: Extracting #4: cost 121 inf + 2 58.530 * * [simplify]: Extracting #5: cost 237 inf + 214 58.533 * * [simplify]: Extracting #6: cost 202 inf + 3502 58.541 * * [simplify]: Extracting #7: cost 112 inf + 21265 58.554 * * [simplify]: Extracting #8: cost 11 inf + 45496 58.576 * * [simplify]: Extracting #9: cost 0 inf + 47914 58.593 * * [simplify]: Extracting #10: cost 0 inf + 47913 58.608 * * [simplify]: Extracting #11: cost 0 inf + 47912 58.638 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 58.638 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J))) 58.638 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 58.638 * [simplify]: Simplifying (* (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (cos (/ K 2))) J) 58.639 * * [simplify]: iters left: 6 (20 enodes) 58.651 * * [simplify]: iters left: 5 (88 enodes) 58.678 * * [simplify]: iters left: 4 (218 enodes) 58.814 * * [simplify]: Extracting #0: cost 1 inf + 0 58.815 * * [simplify]: Extracting #1: cost 17 inf + 0 58.815 * * [simplify]: Extracting #2: cost 29 inf + 2 58.815 * * [simplify]: Extracting #3: cost 33 inf + 86 58.816 * * [simplify]: Extracting #4: cost 126 inf + 89 58.818 * * [simplify]: Extracting #5: cost 327 inf + 1396 58.830 * * [simplify]: Extracting #6: cost 253 inf + 34932 58.866 * * [simplify]: Extracting #7: cost 71 inf + 99693 58.919 * * [simplify]: Extracting #8: cost 0 inf + 125482 58.956 * * [simplify]: Extracting #9: cost 0 inf + 125231 59.012 * * [simplify]: Extracting #10: cost 0 inf + 125151 59.069 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 59.070 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 59.070 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 59.070 * [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) 59.071 * * [simplify]: iters left: 6 (19 enodes) 59.082 * * [simplify]: iters left: 5 (80 enodes) 59.107 * * [simplify]: iters left: 4 (192 enodes) 59.190 * * [simplify]: Extracting #0: cost 1 inf + 0 59.190 * * [simplify]: Extracting #1: cost 17 inf + 0 59.190 * * [simplify]: Extracting #2: cost 29 inf + 2 59.190 * * [simplify]: Extracting #3: cost 36 inf + 86 59.191 * * [simplify]: Extracting #4: cost 126 inf + 90 59.192 * * [simplify]: Extracting #5: cost 297 inf + 2114 59.210 * * [simplify]: Extracting #6: cost 134 inf + 53340 59.253 * * [simplify]: Extracting #7: cost 4 inf + 93126 59.280 * * [simplify]: Extracting #8: cost 0 inf + 94242 59.312 * * [simplify]: Extracting #9: cost 0 inf + 94164 59.339 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 59.339 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 59.340 * * * * [progress]: [ 39 / 142 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))> 59.340 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 59.340 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 59.340 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 59.340 * * [simplify]: iters left: 6 (9 enodes) 59.343 * * [simplify]: iters left: 5 (33 enodes) 59.352 * * [simplify]: iters left: 4 (51 enodes) 59.367 * * [simplify]: iters left: 3 (68 enodes) 59.379 * * [simplify]: iters left: 2 (73 enodes) 59.388 * * [simplify]: Extracting #0: cost 1 inf + 0 59.388 * * [simplify]: Extracting #1: cost 12 inf + 0 59.388 * * [simplify]: Extracting #2: cost 21 inf + 3 59.388 * * [simplify]: Extracting #3: cost 21 inf + 337 59.388 * * [simplify]: Extracting #4: cost 12 inf + 1158 59.389 * * [simplify]: Extracting #5: cost 0 inf + 3114 59.390 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 59.390 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (cos (/ K 2))) J)) 59.390 * [simplify]: Simplifying (+ 1 1) 59.390 * * [simplify]: iters left: 2 (2 enodes) 59.392 * * [simplify]: iters left: 1 (9 enodes) 59.394 * * [simplify]: Extracting #0: cost 1 inf + 0 59.394 * * [simplify]: Extracting #1: cost 0 inf + 1 59.394 * [simplify]: Simplified to 2 59.394 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (cos (/ K 2))) J)) 59.394 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 59.394 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 59.394 * * [simplify]: iters left: 6 (10 enodes) 59.397 * * [simplify]: iters left: 5 (40 enodes) 59.411 * * [simplify]: iters left: 4 (91 enodes) 59.449 * * [simplify]: iters left: 3 (345 enodes) 59.687 * * [simplify]: Extracting #0: cost 1 inf + 0 59.688 * * [simplify]: Extracting #1: cost 119 inf + 0 59.690 * * [simplify]: Extracting #2: cost 236 inf + 45 59.692 * * [simplify]: Extracting #3: cost 207 inf + 2474 59.702 * * [simplify]: Extracting #4: cost 104 inf + 22392 59.718 * * [simplify]: Extracting #5: cost 6 inf + 45410 59.733 * * [simplify]: Extracting #6: cost 0 inf + 46788 59.753 * * [simplify]: Extracting #7: cost 0 inf + 46787 59.768 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 59.768 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (cos (/ K 2))) J)) 59.768 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 59.768 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 59.768 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 59.768 * * [simplify]: iters left: 6 (9 enodes) 59.771 * * [simplify]: iters left: 5 (33 enodes) 59.776 * * [simplify]: iters left: 4 (51 enodes) 59.791 * * [simplify]: iters left: 3 (68 enodes) 59.811 * * [simplify]: iters left: 2 (73 enodes) 59.828 * * [simplify]: Extracting #0: cost 1 inf + 0 59.828 * * [simplify]: Extracting #1: cost 12 inf + 0 59.828 * * [simplify]: Extracting #2: cost 21 inf + 3 59.829 * * [simplify]: Extracting #3: cost 21 inf + 337 59.829 * * [simplify]: Extracting #4: cost 12 inf + 1158 59.830 * * [simplify]: Extracting #5: cost 0 inf + 3114 59.831 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 59.832 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (cos (/ K 2))) J)) 59.832 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 59.832 * * * * [progress]: [ 46 / 142 ] simplifiying candidate # 59.832 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 59.832 * * [simplify]: iters left: 6 (14 enodes) 59.839 * * [simplify]: iters left: 5 (54 enodes) 59.855 * * [simplify]: iters left: 4 (119 enodes) 59.892 * * [simplify]: iters left: 3 (457 enodes) 60.443 * * [simplify]: Extracting #0: cost 1 inf + 0 60.443 * * [simplify]: Extracting #1: cost 87 inf + 0 60.447 * * [simplify]: Extracting #2: cost 441 inf + 0 60.452 * * [simplify]: Extracting #3: cost 435 inf + 3488 60.460 * * [simplify]: Extracting #4: cost 350 inf + 25733 60.482 * * [simplify]: Extracting #5: cost 181 inf + 99937 60.546 * * [simplify]: Extracting #6: cost 13 inf + 179498 60.620 * * [simplify]: Extracting #7: cost 0 inf + 185853 60.669 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 60.669 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 60.669 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 60.669 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 60.670 * * [simplify]: iters left: 6 (18 enodes) 60.675 * * [simplify]: iters left: 5 (62 enodes) 60.688 * * [simplify]: iters left: 4 (132 enodes) 60.729 * * [simplify]: iters left: 3 (478 enodes) 61.230 * * [simplify]: Extracting #0: cost 1 inf + 0 61.230 * * [simplify]: Extracting #1: cost 82 inf + 0 61.232 * * [simplify]: Extracting #2: cost 445 inf + 0 61.234 * * [simplify]: Extracting #3: cost 428 inf + 6272 61.239 * * [simplify]: Extracting #4: cost 350 inf + 27083 61.254 * * [simplify]: Extracting #5: cost 195 inf + 92277 61.305 * * [simplify]: Extracting #6: cost 8 inf + 176798 61.376 * * [simplify]: Extracting #7: cost 0 inf + 179724 61.418 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 61.418 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 61.418 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 61.418 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 61.418 * * [simplify]: iters left: 6 (18 enodes) 61.423 * * [simplify]: iters left: 5 (75 enodes) 61.437 * * [simplify]: iters left: 4 (150 enodes) 61.506 * * [simplify]: iters left: 3 (441 enodes) 61.895 * * [simplify]: Extracting #0: cost 1 inf + 0 61.895 * * [simplify]: Extracting #1: cost 83 inf + 0 61.899 * * [simplify]: Extracting #2: cost 392 inf + 0 61.905 * * [simplify]: Extracting #3: cost 353 inf + 11476 61.913 * * [simplify]: Extracting #4: cost 305 inf + 24860 61.941 * * [simplify]: Extracting #5: cost 144 inf + 93825 62.005 * * [simplify]: Extracting #6: cost 4 inf + 152810 62.075 * * [simplify]: Extracting #7: cost 0 inf + 148235 62.141 * * [simplify]: Extracting #8: cost 0 inf + 147415 62.207 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 62.207 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 62.207 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 62.207 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 62.208 * * [simplify]: iters left: 6 (18 enodes) 62.217 * * [simplify]: iters left: 5 (73 enodes) 62.242 * * [simplify]: iters left: 4 (158 enodes) 62.305 * * [simplify]: iters left: 3 (401 enodes) 62.596 * * [simplify]: Extracting #0: cost 1 inf + 0 62.596 * * [simplify]: Extracting #1: cost 75 inf + 0 62.597 * * [simplify]: Extracting #2: cost 294 inf + 0 62.599 * * [simplify]: Extracting #3: cost 333 inf + 1095 62.601 * * [simplify]: Extracting #4: cost 297 inf + 8726 62.607 * * [simplify]: Extracting #5: cost 207 inf + 35649 62.636 * * [simplify]: Extracting #6: cost 32 inf + 113007 62.687 * * [simplify]: Extracting #7: cost 3 inf + 120686 62.721 * * [simplify]: Extracting #8: cost 0 inf + 119948 62.753 * * [simplify]: Extracting #9: cost 0 inf + 119908 62.776 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 62.776 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 62.777 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 62.777 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 62.777 * * [simplify]: iters left: 6 (18 enodes) 63.175 * * [simplify]: iters left: 5 (63 enodes) 63.195 * * [simplify]: iters left: 4 (128 enodes) 63.257 * * [simplify]: iters left: 3 (467 enodes) 63.733 * * [simplify]: Extracting #0: cost 1 inf + 0 63.733 * * [simplify]: Extracting #1: cost 87 inf + 0 63.735 * * [simplify]: Extracting #2: cost 459 inf + 0 63.737 * * [simplify]: Extracting #3: cost 444 inf + 6063 63.742 * * [simplify]: Extracting #4: cost 367 inf + 26781 63.757 * * [simplify]: Extracting #5: cost 208 inf + 91682 63.818 * * [simplify]: Extracting #6: cost 16 inf + 181307 63.877 * * [simplify]: Extracting #7: cost 0 inf + 189267 63.936 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 63.936 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (cos (/ K 2))) J)) 63.936 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 63.936 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 63.936 * * [simplify]: iters left: 6 (13 enodes) 63.941 * * [simplify]: iters left: 5 (52 enodes) 63.950 * * [simplify]: iters left: 4 (107 enodes) 63.986 * * [simplify]: iters left: 3 (365 enodes) 64.369 * * [simplify]: Extracting #0: cost 1 inf + 0 64.370 * * [simplify]: Extracting #1: cost 73 inf + 0 64.372 * * [simplify]: Extracting #2: cost 366 inf + 0 64.376 * * [simplify]: Extracting #3: cost 356 inf + 3306 64.379 * * [simplify]: Extracting #4: cost 311 inf + 14304 64.387 * * [simplify]: Extracting #5: cost 182 inf + 63744 64.417 * * [simplify]: Extracting #6: cost 3 inf + 143874 64.475 * * [simplify]: Extracting #7: cost 0 inf + 144974 64.518 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 64.518 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 64.518 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 64.519 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 64.519 * * [simplify]: iters left: 6 (16 enodes) 64.528 * * [simplify]: iters left: 5 (63 enodes) 64.539 * * [simplify]: iters left: 4 (135 enodes) 64.581 * * [simplify]: iters left: 3 (409 enodes) 64.935 * * [simplify]: Extracting #0: cost 1 inf + 0 64.935 * * [simplify]: Extracting #1: cost 70 inf + 0 64.938 * * [simplify]: Extracting #2: cost 384 inf + 0 64.943 * * [simplify]: Extracting #3: cost 371 inf + 5484 64.950 * * [simplify]: Extracting #4: cost 306 inf + 22123 64.970 * * [simplify]: Extracting #5: cost 174 inf + 73482 65.023 * * [simplify]: Extracting #6: cost 9 inf + 144143 65.057 * * [simplify]: Extracting #7: cost 0 inf + 144938 65.090 * * [simplify]: Extracting #8: cost 0 inf + 144748 65.147 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 65.147 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 65.147 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 65.147 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 65.148 * * [simplify]: iters left: 6 (16 enodes) 65.156 * * [simplify]: iters left: 5 (67 enodes) 65.179 * * [simplify]: iters left: 4 (136 enodes) 65.235 * * [simplify]: iters left: 3 (364 enodes) 65.460 * * [simplify]: Extracting #0: cost 1 inf + 0 65.460 * * [simplify]: Extracting #1: cost 62 inf + 0 65.462 * * [simplify]: Extracting #2: cost 325 inf + 0 65.465 * * [simplify]: Extracting #3: cost 344 inf + 4236 65.471 * * [simplify]: Extracting #4: cost 302 inf + 14346 65.493 * * [simplify]: Extracting #5: cost 171 inf + 62575 65.531 * * [simplify]: Extracting #6: cost 9 inf + 127185 65.560 * * [simplify]: Extracting #7: cost 0 inf + 124566 65.588 * * [simplify]: Extracting #8: cost 0 inf + 124346 65.628 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 65.629 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 65.629 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 65.629 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 65.629 * * [simplify]: iters left: 6 (18 enodes) 65.639 * * [simplify]: iters left: 5 (75 enodes) 65.659 * * [simplify]: iters left: 4 (153 enodes) 65.714 * * [simplify]: iters left: 3 (475 enodes) 66.121 * * [simplify]: Extracting #0: cost 1 inf + 0 66.121 * * [simplify]: Extracting #1: cost 84 inf + 0 66.123 * * [simplify]: Extracting #2: cost 434 inf + 0 66.126 * * [simplify]: Extracting #3: cost 400 inf + 11081 66.130 * * [simplify]: Extracting #4: cost 349 inf + 23822 66.143 * * [simplify]: Extracting #5: cost 211 inf + 78498 66.182 * * [simplify]: Extracting #6: cost 13 inf + 162504 66.238 * * [simplify]: Extracting #7: cost 0 inf + 165480 66.308 * * [simplify]: Extracting #8: cost 0 inf + 165120 66.382 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 66.382 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 66.382 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 66.383 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 66.383 * * [simplify]: iters left: 6 (16 enodes) 66.388 * * [simplify]: iters left: 5 (63 enodes) 66.399 * * [simplify]: iters left: 4 (131 enodes) 66.444 * * [simplify]: iters left: 3 (400 enodes) 66.798 * * [simplify]: Extracting #0: cost 1 inf + 0 66.799 * * [simplify]: Extracting #1: cost 73 inf + 0 66.801 * * [simplify]: Extracting #2: cost 360 inf + 0 66.804 * * [simplify]: Extracting #3: cost 368 inf + 1570 66.811 * * [simplify]: Extracting #4: cost 284 inf + 22316 66.829 * * [simplify]: Extracting #5: cost 181 inf + 60735 66.865 * * [simplify]: Extracting #6: cost 16 inf + 128257 66.917 * * [simplify]: Extracting #7: cost 0 inf + 132824 66.950 * * [simplify]: Extracting #8: cost 0 inf + 132754 67.002 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 67.002 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (cos (/ K 2))) J)) 67.002 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 67.002 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 67.002 * * [simplify]: iters left: 6 (12 enodes) 67.006 * * [simplify]: iters left: 5 (49 enodes) 67.017 * * [simplify]: iters left: 4 (96 enodes) 67.038 * * [simplify]: iters left: 3 (241 enodes) 67.176 * * [simplify]: Extracting #0: cost 1 inf + 0 67.176 * * [simplify]: Extracting #1: cost 49 inf + 0 67.177 * * [simplify]: Extracting #2: cost 251 inf + 0 67.178 * * [simplify]: Extracting #3: cost 249 inf + 1539 67.180 * * [simplify]: Extracting #4: cost 212 inf + 9334 67.182 * * [simplify]: Extracting #5: cost 194 inf + 13677 67.188 * * [simplify]: Extracting #6: cost 164 inf + 24866 67.206 * * [simplify]: Extracting #7: cost 45 inf + 75345 67.236 * * [simplify]: Extracting #8: cost 2 inf + 93245 67.254 * * [simplify]: Extracting #9: cost 0 inf + 93841 67.281 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 67.281 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 67.281 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 67.281 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 67.281 * * [simplify]: iters left: 6 (14 enodes) 67.285 * * [simplify]: iters left: 5 (54 enodes) 67.295 * * [simplify]: iters left: 4 (109 enodes) 67.322 * * [simplify]: iters left: 3 (265 enodes) 67.439 * * [simplify]: Extracting #0: cost 1 inf + 0 67.439 * * [simplify]: Extracting #1: cost 49 inf + 0 67.439 * * [simplify]: Extracting #2: cost 242 inf + 0 67.440 * * [simplify]: Extracting #3: cost 259 inf + 523 67.442 * * [simplify]: Extracting #4: cost 212 inf + 10345 67.446 * * [simplify]: Extracting #5: cost 159 inf + 24153 67.460 * * [simplify]: Extracting #6: cost 18 inf + 79713 67.479 * * [simplify]: Extracting #7: cost 0 inf + 86997 67.507 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 67.507 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 67.508 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 67.508 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 67.508 * * [simplify]: iters left: 6 (18 enodes) 67.517 * * [simplify]: iters left: 5 (73 enodes) 67.541 * * [simplify]: iters left: 4 (156 enodes) 67.605 * * [simplify]: iters left: 3 (366 enodes) 67.819 * * [simplify]: Extracting #0: cost 1 inf + 0 67.819 * * [simplify]: Extracting #1: cost 81 inf + 0 67.821 * * [simplify]: Extracting #2: cost 315 inf + 0 67.824 * * [simplify]: Extracting #3: cost 336 inf + 1721 67.828 * * [simplify]: Extracting #4: cost 282 inf + 12964 67.837 * * [simplify]: Extracting #5: cost 226 inf + 27763 67.871 * * [simplify]: Extracting #6: cost 44 inf + 102658 67.897 * * [simplify]: Extracting #7: cost 0 inf + 118994 67.941 * * [simplify]: Extracting #8: cost 0 inf + 118854 67.987 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 67.987 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 67.987 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 67.988 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 67.988 * * [simplify]: iters left: 6 (16 enodes) 67.996 * * [simplify]: iters left: 5 (67 enodes) 68.008 * * [simplify]: iters left: 4 (134 enodes) 68.046 * * [simplify]: iters left: 3 (341 enodes) 68.201 * * [simplify]: Extracting #0: cost 1 inf + 0 68.201 * * [simplify]: Extracting #1: cost 69 inf + 0 68.204 * * [simplify]: Extracting #2: cost 344 inf + 0 68.207 * * [simplify]: Extracting #3: cost 365 inf + 1843 68.212 * * [simplify]: Extracting #4: cost 320 inf + 11850 68.231 * * [simplify]: Extracting #5: cost 166 inf + 66434 68.272 * * [simplify]: Extracting #6: cost 7 inf + 128209 68.305 * * [simplify]: Extracting #7: cost 0 inf + 129716 68.356 * * [simplify]: Extracting #8: cost 0 inf + 129576 68.395 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 68.395 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 68.396 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 68.396 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 68.396 * * [simplify]: iters left: 6 (14 enodes) 68.400 * * [simplify]: iters left: 5 (54 enodes) 68.410 * * [simplify]: iters left: 4 (106 enodes) 68.430 * * [simplify]: iters left: 3 (231 enodes) 68.508 * * [simplify]: Extracting #0: cost 1 inf + 0 68.508 * * [simplify]: Extracting #1: cost 64 inf + 0 68.509 * * [simplify]: Extracting #2: cost 246 inf + 0 68.510 * * [simplify]: Extracting #3: cost 259 inf + 560 68.511 * * [simplify]: Extracting #4: cost 218 inf + 8763 68.515 * * [simplify]: Extracting #5: cost 148 inf + 29077 68.531 * * [simplify]: Extracting #6: cost 27 inf + 76331 68.547 * * [simplify]: Extracting #7: cost 0 inf + 87431 68.568 * * [simplify]: Extracting #8: cost 0 inf + 87391 68.601 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 68.601 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 68.601 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 68.602 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 68.602 * * [simplify]: iters left: 6 (11 enodes) 68.608 * * [simplify]: iters left: 5 (42 enodes) 68.623 * * [simplify]: iters left: 4 (79 enodes) 68.650 * * [simplify]: iters left: 3 (176 enodes) 68.715 * * [simplify]: iters left: 2 (491 enodes) 69.181 * * [simplify]: Extracting #0: cost 1 inf + 0 69.181 * * [simplify]: Extracting #1: cost 79 inf + 0 69.183 * * [simplify]: Extracting #2: cost 424 inf + 0 69.185 * * [simplify]: Extracting #3: cost 434 inf + 1374 69.188 * * [simplify]: Extracting #4: cost 365 inf + 15165 69.199 * * [simplify]: Extracting #5: cost 222 inf + 60738 69.252 * * [simplify]: Extracting #6: cost 20 inf + 142135 69.303 * * [simplify]: Extracting #7: cost 0 inf + 147485 69.347 * * [simplify]: Extracting #8: cost 0 inf + 147405 69.409 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 69.409 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 69.409 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 69.409 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 69.409 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 69.409 * [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))))) 69.410 * * [simplify]: iters left: 6 (18 enodes) 69.416 * * [simplify]: iters left: 5 (81 enodes) 69.436 * * [simplify]: iters left: 4 (297 enodes) 69.929 * * [simplify]: Extracting #0: cost 1 inf + 0 69.929 * * [simplify]: Extracting #1: cost 317 inf + 0 69.935 * * [simplify]: Extracting #2: cost 1360 inf + 1186 69.955 * * [simplify]: Extracting #3: cost 1159 inf + 28787 69.969 * * [simplify]: Extracting #4: cost 1067 inf + 46078 69.991 * * [simplify]: Extracting #5: cost 1058 inf + 48222 70.032 * * [simplify]: Extracting #6: cost 700 inf + 217292 70.143 * * [simplify]: Extracting #7: cost 50 inf + 478678 70.306 * * [simplify]: Extracting #8: cost 0 inf + 450895 70.501 * * [simplify]: Extracting #9: cost 0 inf + 450215 70.687 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 70.687 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 70.687 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 70.687 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 70.687 * * [simplify]: iters left: 6 (23 enodes) 70.702 * * [simplify]: iters left: 5 (116 enodes) 70.736 * * [simplify]: iters left: 4 (394 enodes) 71.787 * * [simplify]: Extracting #0: cost 1 inf + 0 71.788 * * [simplify]: Extracting #1: cost 305 inf + 0 71.795 * * [simplify]: Extracting #2: cost 1687 inf + 1266 71.805 * * [simplify]: Extracting #3: cost 1524 inf + 28963 71.818 * * [simplify]: Extracting #4: cost 1425 inf + 42935 71.886 * * [simplify]: Extracting #5: cost 1007 inf + 187192 72.066 * * [simplify]: Extracting #6: cost 91 inf + 536933 72.274 * * [simplify]: Extracting #7: cost 0 inf + 555816 72.453 * * [simplify]: Extracting #8: cost 0 inf + 555016 72.623 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 72.623 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 72.623 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 72.623 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 72.624 * * [simplify]: iters left: 6 (23 enodes) 72.635 * * [simplify]: iters left: 5 (117 enodes) 72.693 * * [simplify]: Extracting #0: cost 1 inf + 0 72.693 * * [simplify]: Extracting #1: cost 57 inf + 0 72.693 * * [simplify]: Extracting #2: cost 198 inf + 1 72.694 * * [simplify]: Extracting #3: cost 196 inf + 1963 72.695 * * [simplify]: Extracting #4: cost 175 inf + 4048 72.698 * * [simplify]: Extracting #5: cost 138 inf + 14158 72.706 * * [simplify]: Extracting #6: cost 38 inf + 45666 72.721 * * [simplify]: Extracting #7: cost 0 inf + 59703 72.745 * * [simplify]: Extracting #8: cost 0 inf + 58861 72.769 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 72.769 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (cos (/ K 2))) J)) 72.769 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 72.769 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 72.770 * * [simplify]: iters left: 6 (23 enodes) 72.777 * * [simplify]: iters left: 5 (110 enodes) 72.821 * * [simplify]: iters left: 4 (408 enodes) 73.421 * * [simplify]: Extracting #0: cost 1 inf + 0 73.422 * * [simplify]: Extracting #1: cost 349 inf + 0 73.426 * * [simplify]: Extracting #2: cost 1362 inf + 253 73.434 * * [simplify]: Extracting #3: cost 1372 inf + 8215 73.443 * * [simplify]: Extracting #4: cost 1293 inf + 19441 73.480 * * [simplify]: Extracting #5: cost 942 inf + 149702 73.644 * * [simplify]: Extracting #6: cost 118 inf + 513336 73.822 * * [simplify]: Extracting #7: cost 0 inf + 530464 73.988 * * [simplify]: Extracting #8: cost 0 inf + 526424 74.160 * * [simplify]: Extracting #9: cost 0 inf + 526264 74.352 * [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)))))) 74.352 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 74.352 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 74.353 * [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))))) 74.353 * * [simplify]: iters left: 6 (23 enodes) 74.368 * * [simplify]: iters left: 5 (116 enodes) 74.432 * * [simplify]: iters left: 4 (400 enodes) 75.709 * * [simplify]: Extracting #0: cost 1 inf + 0 75.709 * * [simplify]: Extracting #1: cost 338 inf + 0 75.715 * * [simplify]: Extracting #2: cost 1775 inf + 1305 75.735 * * [simplify]: Extracting #3: cost 1631 inf + 26639 75.758 * * [simplify]: Extracting #4: cost 1492 inf + 45349 75.812 * * [simplify]: Extracting #5: cost 991 inf + 264110 76.039 * * [simplify]: Extracting #6: cost 19 inf + 641565 76.255 * * [simplify]: Extracting #7: cost 0 inf + 581792 76.454 * * [simplify]: Extracting #8: cost 0 inf + 581352 76.638 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 76.638 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (cos (/ K 2))) J)) 76.639 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 76.639 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 76.639 * * [simplify]: iters left: 6 (16 enodes) 76.651 * * [simplify]: iters left: 5 (79 enodes) 76.691 * * [simplify]: iters left: 4 (300 enodes) 77.270 * * [simplify]: Extracting #0: cost 1 inf + 0 77.270 * * [simplify]: Extracting #1: cost 276 inf + 0 77.274 * * [simplify]: Extracting #2: cost 1222 inf + 1113 77.292 * * [simplify]: Extracting #3: cost 1095 inf + 16811 77.307 * * [simplify]: Extracting #4: cost 1061 inf + 20800 77.338 * * [simplify]: Extracting #5: cost 657 inf + 183765 77.488 * * [simplify]: Extracting #6: cost 22 inf + 410882 77.651 * * [simplify]: Extracting #7: cost 0 inf + 405405 77.778 * * [simplify]: Extracting #8: cost 0 inf + 405114 77.928 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 77.928 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 77.928 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 77.928 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 77.929 * * [simplify]: iters left: 6 (20 enodes) 77.936 * * [simplify]: iters left: 5 (110 enodes) 77.978 * * [simplify]: iters left: 4 (486 enodes) 78.964 * * [simplify]: Extracting #0: cost 1 inf + 0 78.965 * * [simplify]: Extracting #1: cost 357 inf + 0 78.973 * * [simplify]: Extracting #2: cost 1671 inf + 4 78.990 * * [simplify]: Extracting #3: cost 1668 inf + 6826 79.011 * * [simplify]: Extracting #4: cost 1547 inf + 21334 79.066 * * [simplify]: Extracting #5: cost 1187 inf + 145252 79.242 * * [simplify]: Extracting #6: cost 120 inf + 563013 79.463 * * [simplify]: Extracting #7: cost 0 inf + 585634 79.731 * * [simplify]: Extracting #8: cost 0 inf + 584467 79.954 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 79.954 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 79.955 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 79.955 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 79.955 * * [simplify]: iters left: 6 (20 enodes) 79.971 * * [simplify]: iters left: 5 (104 enodes) 80.023 * * [simplify]: iters left: 4 (410 enodes) 80.624 * * [simplify]: Extracting #0: cost 1 inf + 0 80.625 * * [simplify]: Extracting #1: cost 320 inf + 0 80.634 * * [simplify]: Extracting #2: cost 1273 inf + 422 80.640 * * [simplify]: Extracting #3: cost 1300 inf + 5654 80.648 * * [simplify]: Extracting #4: cost 1233 inf + 13684 80.692 * * [simplify]: Extracting #5: cost 817 inf + 180631 80.841 * * [simplify]: Extracting #6: cost 86 inf + 457006 81.019 * * [simplify]: Extracting #7: cost 0 inf + 479132 81.158 * * [simplify]: Extracting #8: cost 0 inf + 478812 81.338 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 81.338 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 81.339 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 81.339 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 81.340 * * [simplify]: iters left: 6 (23 enodes) 81.350 * * [simplify]: iters left: 5 (117 enodes) 81.391 * * [simplify]: Extracting #0: cost 1 inf + 0 81.391 * * [simplify]: Extracting #1: cost 57 inf + 0 81.392 * * [simplify]: Extracting #2: cost 198 inf + 1 81.394 * * [simplify]: Extracting #3: cost 195 inf + 2086 81.396 * * [simplify]: Extracting #4: cost 174 inf + 4290 81.404 * * [simplify]: Extracting #5: cost 116 inf + 19820 81.425 * * [simplify]: Extracting #6: cost 12 inf + 57316 81.437 * * [simplify]: Extracting #7: cost 0 inf + 58322 81.451 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 81.451 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (cos (/ K 2))) J)) 81.451 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 81.452 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 81.452 * * [simplify]: iters left: 6 (20 enodes) 81.462 * * [simplify]: iters left: 5 (110 enodes) 81.499 * * [simplify]: iters left: 4 (486 enodes) 82.469 * * [simplify]: Extracting #0: cost 1 inf + 0 82.470 * * [simplify]: Extracting #1: cost 354 inf + 0 82.480 * * [simplify]: Extracting #2: cost 1732 inf + 947 82.500 * * [simplify]: Extracting #3: cost 1677 inf + 14777 82.524 * * [simplify]: Extracting #4: cost 1558 inf + 34201 82.654 * * [simplify]: Extracting #5: cost 538 inf + 431020 82.892 * * [simplify]: Extracting #6: cost 7 inf + 614791 83.116 * * [simplify]: Extracting #7: cost 0 inf + 600444 83.304 * * [simplify]: Extracting #8: cost 0 inf + 599228 83.556 * * [simplify]: Extracting #9: cost 0 inf + 599108 83.753 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 83.753 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 83.753 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 83.754 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 83.754 * * [simplify]: iters left: 6 (14 enodes) 83.759 * * [simplify]: iters left: 5 (69 enodes) 83.782 * * [simplify]: iters left: 4 (284 enodes) 84.228 * * [simplify]: Extracting #0: cost 1 inf + 0 84.229 * * [simplify]: Extracting #1: cost 264 inf + 0 84.236 * * [simplify]: Extracting #2: cost 1048 inf + 621 84.246 * * [simplify]: Extracting #3: cost 1004 inf + 7706 84.256 * * [simplify]: Extracting #4: cost 992 inf + 8857 84.301 * * [simplify]: Extracting #5: cost 693 inf + 102376 84.441 * * [simplify]: Extracting #6: cost 68 inf + 348361 84.583 * * [simplify]: Extracting #7: cost 0 inf + 362304 84.726 * * [simplify]: Extracting #8: cost 0 inf + 360357 84.853 * [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))))))) 84.853 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 84.853 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 84.853 * [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))))) 84.853 * * [simplify]: iters left: 6 (17 enodes) 84.859 * * [simplify]: iters left: 5 (87 enodes) 84.890 * * [simplify]: iters left: 4 (347 enodes) 85.976 * * [simplify]: Extracting #0: cost 1 inf + 0 85.976 * * [simplify]: Extracting #1: cost 232 inf + 0 85.980 * * [simplify]: Extracting #2: cost 1150 inf + 375 85.998 * * [simplify]: Extracting #3: cost 1098 inf + 7458 86.010 * * [simplify]: Extracting #4: cost 1069 inf + 11014 86.058 * * [simplify]: Extracting #5: cost 711 inf + 123503 86.227 * * [simplify]: Extracting #6: cost 36 inf + 371223 86.376 * * [simplify]: Extracting #7: cost 0 inf + 378721 86.519 * * [simplify]: Extracting #8: cost 0 inf + 378639 86.684 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 86.685 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (cos (/ K 2))) J)) 86.685 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 86.685 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 86.685 * * [simplify]: iters left: 6 (23 enodes) 86.693 * * [simplify]: iters left: 5 (110 enodes) 86.730 * * [simplify]: iters left: 4 (410 enodes) 87.355 * * [simplify]: Extracting #0: cost 1 inf + 0 87.356 * * [simplify]: Extracting #1: cost 359 inf + 0 87.360 * * [simplify]: Extracting #2: cost 1287 inf + 419 87.367 * * [simplify]: Extracting #3: cost 1261 inf + 9929 87.375 * * [simplify]: Extracting #4: cost 1180 inf + 21019 87.439 * * [simplify]: Extracting #5: cost 735 inf + 199153 87.635 * * [simplify]: Extracting #6: cost 8 inf + 499942 87.772 * * [simplify]: Extracting #7: cost 0 inf + 474987 87.961 * * [simplify]: Extracting #8: cost 0 inf + 473616 88.137 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 88.137 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 88.137 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 88.138 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 88.139 * * [simplify]: iters left: 6 (20 enodes) 88.152 * * [simplify]: iters left: 5 (104 enodes) 88.206 * * [simplify]: iters left: 4 (410 enodes) 88.875 * * [simplify]: Extracting #0: cost 1 inf + 0 88.876 * * [simplify]: Extracting #1: cost 333 inf + 0 88.883 * * [simplify]: Extracting #2: cost 1241 inf + 215 88.895 * * [simplify]: Extracting #3: cost 1232 inf + 5451 88.914 * * [simplify]: Extracting #4: cost 1158 inf + 14257 88.947 * * [simplify]: Extracting #5: cost 643 inf + 213569 89.075 * * [simplify]: Extracting #6: cost 28 inf + 452599 89.244 * * [simplify]: Extracting #7: cost 0 inf + 451462 89.421 * * [simplify]: Extracting #8: cost 0 inf + 451384 89.571 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 89.572 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 89.572 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 89.572 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 89.573 * * [simplify]: iters left: 6 (17 enodes) 89.582 * * [simplify]: iters left: 5 (87 enodes) 89.623 * * [simplify]: iters left: 4 (343 enodes) 90.186 * * [simplify]: Extracting #0: cost 1 inf + 0 90.186 * * [simplify]: Extracting #1: cost 233 inf + 0 90.201 * * [simplify]: Extracting #2: cost 1034 inf + 459 90.211 * * [simplify]: Extracting #3: cost 981 inf + 8158 90.222 * * [simplify]: Extracting #4: cost 963 inf + 10234 90.262 * * [simplify]: Extracting #5: cost 665 inf + 100602 90.393 * * [simplify]: Extracting #6: cost 35 inf + 335827 90.526 * * [simplify]: Extracting #7: cost 0 inf + 343092 90.670 * * [simplify]: Extracting #8: cost 0 inf + 342649 90.812 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 90.812 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 90.812 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 90.812 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 90.812 * * [simplify]: iters left: 6 (12 enodes) 90.816 * * [simplify]: iters left: 5 (55 enodes) 90.829 * * [simplify]: iters left: 4 (179 enodes) 91.100 * * [simplify]: Extracting #0: cost 1 inf + 0 91.100 * * [simplify]: Extracting #1: cost 111 inf + 0 91.102 * * [simplify]: Extracting #2: cost 476 inf + 4 91.104 * * [simplify]: Extracting #3: cost 509 inf + 1174 91.119 * * [simplify]: Extracting #4: cost 279 inf + 68658 91.188 * * [simplify]: Extracting #5: cost 18 inf + 157912 91.255 * * [simplify]: Extracting #6: cost 0 inf + 164075 91.297 * * [simplify]: Extracting #7: cost 0 inf + 164036 91.377 * [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)))) 91.377 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 91.377 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 91.377 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 91.378 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 91.378 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 91.378 * [simplify]: Simplifying (* U U) 91.378 * * [simplify]: iters left: 2 (2 enodes) 91.379 * * [simplify]: iters left: 1 (6 enodes) 91.380 * * [simplify]: Extracting #0: cost 1 inf + 0 91.380 * * [simplify]: Extracting #1: cost 3 inf + 0 91.380 * * [simplify]: Extracting #2: cost 2 inf + 1 91.380 * * [simplify]: Extracting #3: cost 0 inf + 83 91.380 * [simplify]: Simplified to (* U U) 91.380 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 91.381 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 91.381 * * [simplify]: iters left: 6 (8 enodes) 91.384 * * [simplify]: iters left: 5 (36 enodes) 91.391 * * [simplify]: iters left: 4 (87 enodes) 91.415 * * [simplify]: iters left: 3 (207 enodes) 91.528 * * [simplify]: iters left: 2 (331 enodes) 91.650 * * [simplify]: iters left: 1 (343 enodes) 91.738 * * [simplify]: Extracting #0: cost 1 inf + 0 91.738 * * [simplify]: Extracting #1: cost 27 inf + 0 91.738 * * [simplify]: Extracting #2: cost 45 inf + 126 91.738 * * [simplify]: Extracting #3: cost 41 inf + 497 91.739 * * [simplify]: Extracting #4: cost 38 inf + 582 91.740 * * [simplify]: Extracting #5: cost 14 inf + 4770 91.742 * * [simplify]: Extracting #6: cost 0 inf + 7288 91.745 * * [simplify]: Extracting #7: cost 0 inf + 7248 91.747 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 91.747 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (cos (/ K 2))) J)) 91.747 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 91.747 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 91.748 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 91.748 * * [simplify]: iters left: 6 (12 enodes) 91.751 * * [simplify]: iters left: 5 (46 enodes) 91.766 * * [simplify]: iters left: 4 (68 enodes) 91.786 * * [simplify]: iters left: 3 (95 enodes) 91.805 * * [simplify]: iters left: 2 (144 enodes) 91.839 * * [simplify]: iters left: 1 (288 enodes) 91.933 * * [simplify]: Extracting #0: cost 1 inf + 0 91.933 * * [simplify]: Extracting #1: cost 71 inf + 0 91.934 * * [simplify]: Extracting #2: cost 140 inf + 46 91.935 * * [simplify]: Extracting #3: cost 128 inf + 636 91.936 * * [simplify]: Extracting #4: cost 111 inf + 2561 91.939 * * [simplify]: Extracting #5: cost 99 inf + 4759 91.949 * * [simplify]: Extracting #6: cost 26 inf + 35874 91.967 * * [simplify]: Extracting #7: cost 0 inf + 49849 91.985 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 91.985 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 91.985 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 91.985 * * [simplify]: iters left: 6 (11 enodes) 91.991 * * [simplify]: iters left: 5 (39 enodes) 92.006 * * [simplify]: iters left: 4 (57 enodes) 92.022 * * [simplify]: iters left: 3 (74 enodes) 92.032 * * [simplify]: iters left: 2 (79 enodes) 92.042 * * [simplify]: Extracting #0: cost 1 inf + 0 92.042 * * [simplify]: Extracting #1: cost 3 inf + 0 92.042 * * [simplify]: Extracting #2: cost 5 inf + 0 92.042 * * [simplify]: Extracting #3: cost 16 inf + 0 92.042 * * [simplify]: Extracting #4: cost 25 inf + 3 92.043 * * [simplify]: Extracting #5: cost 28 inf + 129 92.043 * * [simplify]: Extracting #6: cost 13 inf + 1889 92.043 * * [simplify]: Extracting #7: cost 3 inf + 3901 92.044 * * [simplify]: Extracting #8: cost 0 inf + 4410 92.045 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 92.045 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 92.045 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 92.046 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 92.046 * * [simplify]: iters left: 6 (11 enodes) 92.049 * * [simplify]: iters left: 5 (37 enodes) 92.061 * * [simplify]: iters left: 4 (56 enodes) 92.077 * * [simplify]: iters left: 3 (73 enodes) 92.088 * * [simplify]: iters left: 2 (78 enodes) 92.098 * * [simplify]: Extracting #0: cost 1 inf + 0 92.098 * * [simplify]: Extracting #1: cost 13 inf + 0 92.098 * * [simplify]: Extracting #2: cost 23 inf + 3 92.098 * * [simplify]: Extracting #3: cost 26 inf + 129 92.098 * * [simplify]: Extracting #4: cost 16 inf + 851 92.099 * * [simplify]: Extracting #5: cost 3 inf + 3053 92.099 * * [simplify]: Extracting #6: cost 0 inf + 3642 92.101 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 92.101 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 92.101 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 92.101 * * [simplify]: iters left: 6 (11 enodes) 92.109 * * [simplify]: iters left: 5 (37 enodes) 92.120 * * [simplify]: iters left: 4 (56 enodes) 92.136 * * [simplify]: iters left: 3 (73 enodes) 92.155 * * [simplify]: iters left: 2 (78 enodes) 92.173 * * [simplify]: Extracting #0: cost 1 inf + 0 92.173 * * [simplify]: Extracting #1: cost 13 inf + 0 92.173 * * [simplify]: Extracting #2: cost 23 inf + 3 92.174 * * [simplify]: Extracting #3: cost 26 inf + 129 92.174 * * [simplify]: Extracting #4: cost 16 inf + 851 92.175 * * [simplify]: Extracting #5: cost 3 inf + 3053 92.176 * * [simplify]: Extracting #6: cost 0 inf + 3642 92.178 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 92.178 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 92.178 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 92.178 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 92.179 * * [simplify]: iters left: 6 (6 enodes) 92.182 * * [simplify]: iters left: 5 (24 enodes) 92.189 * * [simplify]: iters left: 4 (46 enodes) 92.199 * * [simplify]: iters left: 3 (94 enodes) 92.217 * * [simplify]: iters left: 2 (156 enodes) 92.255 * * [simplify]: iters left: 1 (177 enodes) 92.294 * * [simplify]: Extracting #0: cost 1 inf + 0 92.294 * * [simplify]: Extracting #1: cost 29 inf + 0 92.295 * * [simplify]: Extracting #2: cost 44 inf + 452 92.297 * * [simplify]: Extracting #3: cost 11 inf + 5196 92.299 * * [simplify]: Extracting #4: cost 0 inf + 6946 92.301 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 92.301 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.301 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 92.301 * * [simplify]: iters left: 6 (10 enodes) 92.304 * * [simplify]: iters left: 5 (37 enodes) 92.311 * * [simplify]: iters left: 4 (67 enodes) 92.325 * * [simplify]: iters left: 3 (153 enodes) 92.367 * * [simplify]: iters left: 2 (259 enodes) 92.448 * * [simplify]: iters left: 1 (355 enodes) 92.551 * * [simplify]: Extracting #0: cost 1 inf + 0 92.551 * * [simplify]: Extracting #1: cost 36 inf + 0 92.551 * * [simplify]: Extracting #2: cost 69 inf + 1 92.551 * * [simplify]: Extracting #3: cost 67 inf + 287 92.552 * * [simplify]: Extracting #4: cost 53 inf + 1870 92.553 * * [simplify]: Extracting #5: cost 34 inf + 5949 92.556 * * [simplify]: Extracting #6: cost 5 inf + 13388 92.560 * * [simplify]: Extracting #7: cost 0 inf + 14706 92.563 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 92.564 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 92.564 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 92.564 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 92.565 * * [simplify]: iters left: 5 (5 enodes) 92.568 * * [simplify]: iters left: 4 (19 enodes) 92.576 * * [simplify]: iters left: 3 (27 enodes) 92.582 * * [simplify]: iters left: 2 (34 enodes) 92.587 * * [simplify]: iters left: 1 (43 enodes) 92.593 * * [simplify]: Extracting #0: cost 1 inf + 0 92.593 * * [simplify]: Extracting #1: cost 11 inf + 0 92.593 * * [simplify]: Extracting #2: cost 14 inf + 3 92.594 * * [simplify]: Extracting #3: cost 5 inf + 539 92.594 * * [simplify]: Extracting #4: cost 1 inf + 827 92.594 * * [simplify]: Extracting #5: cost 0 inf + 909 92.594 * [simplify]: Simplified to (/ U 4) 92.595 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.595 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 92.595 * * [simplify]: iters left: 6 (10 enodes) 92.598 * * [simplify]: iters left: 5 (37 enodes) 92.604 * * [simplify]: iters left: 4 (67 enodes) 92.623 * * [simplify]: iters left: 3 (146 enodes) 92.653 * * [simplify]: iters left: 2 (243 enodes) 92.723 * * [simplify]: iters left: 1 (344 enodes) 92.842 * * [simplify]: Extracting #0: cost 1 inf + 0 92.842 * * [simplify]: Extracting #1: cost 35 inf + 0 92.843 * * [simplify]: Extracting #2: cost 62 inf + 166 92.844 * * [simplify]: Extracting #3: cost 53 inf + 1108 92.845 * * [simplify]: Extracting #4: cost 32 inf + 4488 92.849 * * [simplify]: Extracting #5: cost 2 inf + 10914 92.852 * * [simplify]: Extracting #6: cost 0 inf + 11240 92.856 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 92.856 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.856 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 92.856 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 92.857 * * [simplify]: iters left: 4 (4 enodes) 92.863 * * [simplify]: iters left: 3 (20 enodes) 92.868 * * [simplify]: iters left: 2 (22 enodes) 92.875 * * [simplify]: Extracting #0: cost 1 inf + 0 92.875 * * [simplify]: Extracting #1: cost 0 inf + 1 92.875 * [simplify]: Simplified to 1/4 92.875 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.875 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 92.875 * * [simplify]: iters left: 6 (9 enodes) 92.880 * * [simplify]: iters left: 5 (34 enodes) 92.892 * * [simplify]: iters left: 4 (64 enodes) 92.917 * * [simplify]: iters left: 3 (148 enodes) 92.958 * * [simplify]: iters left: 2 (254 enodes) 93.038 * * [simplify]: iters left: 1 (351 enodes) 93.130 * * [simplify]: Extracting #0: cost 1 inf + 0 93.130 * * [simplify]: Extracting #1: cost 36 inf + 0 93.130 * * [simplify]: Extracting #2: cost 65 inf + 43 93.131 * * [simplify]: Extracting #3: cost 56 inf + 905 93.131 * * [simplify]: Extracting #4: cost 51 inf + 992 93.133 * * [simplify]: Extracting #5: cost 34 inf + 3846 93.136 * * [simplify]: Extracting #6: cost 1 inf + 10281 93.139 * * [simplify]: Extracting #7: cost 0 inf + 10464 93.143 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 93.143 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 93.143 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 93.143 * [simplify]: Simplifying (* 1 1) 93.143 * * [simplify]: iters left: 2 (2 enodes) 93.145 * * [simplify]: iters left: 1 (6 enodes) 93.146 * * [simplify]: Extracting #0: cost 1 inf + 0 93.146 * * [simplify]: Extracting #1: cost 0 inf + 1 93.146 * [simplify]: Simplified to 1 93.146 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 93.146 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 93.146 * * [simplify]: iters left: 6 (10 enodes) 93.149 * * [simplify]: iters left: 5 (40 enodes) 93.160 * * [simplify]: iters left: 4 (91 enodes) 93.196 * * [simplify]: iters left: 3 (345 enodes) 93.433 * * [simplify]: Extracting #0: cost 1 inf + 0 93.434 * * [simplify]: Extracting #1: cost 119 inf + 0 93.435 * * [simplify]: Extracting #2: cost 236 inf + 45 93.436 * * [simplify]: Extracting #3: cost 207 inf + 2474 93.444 * * [simplify]: Extracting #4: cost 104 inf + 22392 93.457 * * [simplify]: Extracting #5: cost 6 inf + 45410 93.471 * * [simplify]: Extracting #6: cost 0 inf + 46788 93.500 * * [simplify]: Extracting #7: cost 0 inf + 46787 93.529 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 93.529 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 93.530 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 93.530 * [simplify]: Simplifying (* U U) 93.530 * * [simplify]: iters left: 2 (2 enodes) 93.531 * * [simplify]: iters left: 1 (6 enodes) 93.533 * * [simplify]: Extracting #0: cost 1 inf + 0 93.533 * * [simplify]: Extracting #1: cost 3 inf + 0 93.533 * * [simplify]: Extracting #2: cost 2 inf + 1 93.533 * * [simplify]: Extracting #3: cost 0 inf + 83 93.533 * [simplify]: Simplified to (* U U) 93.533 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 93.533 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 93.534 * * [simplify]: iters left: 6 (10 enodes) 93.540 * * [simplify]: iters left: 5 (43 enodes) 93.557 * * [simplify]: iters left: 4 (82 enodes) 93.577 * * [simplify]: iters left: 3 (271 enodes) 93.812 * * [simplify]: Extracting #0: cost 1 inf + 0 93.812 * * [simplify]: Extracting #1: cost 72 inf + 0 93.813 * * [simplify]: Extracting #2: cost 165 inf + 90 93.814 * * [simplify]: Extracting #3: cost 151 inf + 1785 93.817 * * [simplify]: Extracting #4: cost 98 inf + 11781 93.834 * * [simplify]: Extracting #5: cost 3 inf + 32308 93.853 * * [simplify]: Extracting #6: cost 0 inf + 32858 93.866 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 93.866 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 93.866 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 93.867 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.867 * * [simplify]: iters left: 6 (11 enodes) 93.869 * * [simplify]: iters left: 5 (37 enodes) 93.875 * * [simplify]: iters left: 4 (56 enodes) 93.884 * * [simplify]: iters left: 3 (73 enodes) 93.893 * * [simplify]: iters left: 2 (78 enodes) 93.913 * * [simplify]: Extracting #0: cost 1 inf + 0 93.913 * * [simplify]: Extracting #1: cost 13 inf + 0 93.913 * * [simplify]: Extracting #2: cost 23 inf + 3 93.913 * * [simplify]: Extracting #3: cost 26 inf + 129 93.913 * * [simplify]: Extracting #4: cost 16 inf + 851 93.914 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.916 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.917 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.917 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 93.918 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.918 * * [simplify]: iters left: 6 (11 enodes) 93.923 * * [simplify]: iters left: 5 (37 enodes) 93.929 * * [simplify]: iters left: 4 (56 enodes) 93.937 * * [simplify]: iters left: 3 (73 enodes) 93.947 * * [simplify]: iters left: 2 (78 enodes) 93.961 * * [simplify]: Extracting #0: cost 1 inf + 0 93.961 * * [simplify]: Extracting #1: cost 13 inf + 0 93.961 * * [simplify]: Extracting #2: cost 23 inf + 3 93.961 * * [simplify]: Extracting #3: cost 26 inf + 129 93.962 * * [simplify]: Extracting #4: cost 16 inf + 851 93.963 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.964 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.965 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.966 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 93.966 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 93.966 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 93.966 * * [simplify]: iters left: 6 (9 enodes) 93.971 * * [simplify]: iters left: 5 (33 enodes) 93.981 * * [simplify]: iters left: 4 (51 enodes) 93.997 * * [simplify]: iters left: 3 (68 enodes) 94.014 * * [simplify]: iters left: 2 (73 enodes) 94.034 * * [simplify]: Extracting #0: cost 1 inf + 0 94.034 * * [simplify]: Extracting #1: cost 12 inf + 0 94.034 * * [simplify]: Extracting #2: cost 21 inf + 3 94.035 * * [simplify]: Extracting #3: cost 21 inf + 337 94.035 * * [simplify]: Extracting #4: cost 12 inf + 1158 94.036 * * [simplify]: Extracting #5: cost 0 inf + 3114 94.037 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 94.038 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (cos (/ K 2))) J)) 94.038 * [simplify]: Simplifying (* 2 1) 94.038 * * [simplify]: iters left: 2 (3 enodes) 94.041 * * [simplify]: iters left: 1 (9 enodes) 94.044 * * [simplify]: Extracting #0: cost 1 inf + 0 94.044 * * [simplify]: Extracting #1: cost 0 inf + 1 94.044 * [simplify]: Simplified to 2 94.044 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (cos (/ K 2))) J)) 94.044 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 94.044 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 94.044 * * [simplify]: iters left: 6 (10 enodes) 94.050 * * [simplify]: iters left: 5 (36 enodes) 94.061 * * [simplify]: iters left: 4 (54 enodes) 94.071 * * [simplify]: iters left: 3 (71 enodes) 94.080 * * [simplify]: iters left: 2 (76 enodes) 94.090 * * [simplify]: Extracting #0: cost 1 inf + 0 94.090 * * [simplify]: Extracting #1: cost 3 inf + 0 94.090 * * [simplify]: Extracting #2: cost 14 inf + 0 94.090 * * [simplify]: Extracting #3: cost 23 inf + 3 94.090 * * [simplify]: Extracting #4: cost 24 inf + 295 94.090 * * [simplify]: Extracting #5: cost 9 inf + 2499 94.091 * * [simplify]: Extracting #6: cost 0 inf + 3722 94.092 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 94.092 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 94.092 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 94.092 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 94.093 * * [simplify]: iters left: 6 (10 enodes) 94.098 * * [simplify]: iters left: 5 (36 enodes) 94.109 * * [simplify]: iters left: 4 (54 enodes) 94.125 * * [simplify]: iters left: 3 (71 enodes) 94.144 * * [simplify]: iters left: 2 (76 enodes) 94.164 * * [simplify]: Extracting #0: cost 1 inf + 0 94.164 * * [simplify]: Extracting #1: cost 3 inf + 0 94.164 * * [simplify]: Extracting #2: cost 14 inf + 0 94.164 * * [simplify]: Extracting #3: cost 23 inf + 3 94.164 * * [simplify]: Extracting #4: cost 24 inf + 295 94.165 * * [simplify]: Extracting #5: cost 9 inf + 2419 94.166 * * [simplify]: Extracting #6: cost 0 inf + 3642 94.168 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 94.168 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 94.168 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 94.168 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 94.169 * * [simplify]: iters left: 6 (9 enodes) 94.173 * * [simplify]: iters left: 5 (30 enodes) 94.178 * * [simplify]: iters left: 4 (34 enodes) 94.183 * * [simplify]: iters left: 3 (36 enodes) 94.188 * * [simplify]: Extracting #0: cost 1 inf + 0 94.188 * * [simplify]: Extracting #1: cost 8 inf + 0 94.188 * * [simplify]: Extracting #2: cost 14 inf + 1 94.188 * * [simplify]: Extracting #3: cost 16 inf + 2 94.188 * * [simplify]: Extracting #4: cost 11 inf + 288 94.188 * * [simplify]: Extracting #5: cost 5 inf + 962 94.189 * * [simplify]: Extracting #6: cost 0 inf + 1958 94.189 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 94.189 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (cos (/ K 2))) J)) 94.189 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 94.189 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 94.189 * * [simplify]: iters left: 6 (9 enodes) 94.191 * * [simplify]: iters left: 5 (30 enodes) 94.196 * * [simplify]: iters left: 4 (34 enodes) 94.201 * * [simplify]: iters left: 3 (36 enodes) 94.210 * * [simplify]: Extracting #0: cost 1 inf + 0 94.210 * * [simplify]: Extracting #1: cost 8 inf + 0 94.210 * * [simplify]: Extracting #2: cost 14 inf + 1 94.210 * * [simplify]: Extracting #3: cost 16 inf + 2 94.210 * * [simplify]: Extracting #4: cost 11 inf + 168 94.210 * * [simplify]: Extracting #5: cost 5 inf + 762 94.211 * * [simplify]: Extracting #6: cost 0 inf + 1638 94.211 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 94.211 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (cos (/ K 2))) J)) 94.212 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 94.212 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 94.212 * * [simplify]: iters left: 6 (8 enodes) 94.216 * * [simplify]: iters left: 5 (27 enodes) 94.225 * * [simplify]: iters left: 4 (31 enodes) 94.233 * * [simplify]: iters left: 3 (33 enodes) 94.238 * * [simplify]: Extracting #0: cost 1 inf + 0 94.238 * * [simplify]: Extracting #1: cost 8 inf + 0 94.238 * * [simplify]: Extracting #2: cost 11 inf + 2 94.238 * * [simplify]: Extracting #3: cost 12 inf + 86 94.238 * * [simplify]: Extracting #4: cost 9 inf + 130 94.238 * * [simplify]: Extracting #5: cost 1 inf + 1132 94.239 * * [simplify]: Extracting #6: cost 0 inf + 1316 94.239 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 94.239 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 94.239 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 94.239 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 94.239 * * [simplify]: iters left: 6 (9 enodes) 94.242 * * [simplify]: iters left: 5 (33 enodes) 94.247 * * [simplify]: iters left: 4 (51 enodes) 94.255 * * [simplify]: iters left: 3 (68 enodes) 94.269 * * [simplify]: iters left: 2 (73 enodes) 94.288 * * [simplify]: Extracting #0: cost 1 inf + 0 94.288 * * [simplify]: Extracting #1: cost 12 inf + 0 94.288 * * [simplify]: Extracting #2: cost 21 inf + 3 94.288 * * [simplify]: Extracting #3: cost 21 inf + 337 94.289 * * [simplify]: Extracting #4: cost 12 inf + 1158 94.290 * * [simplify]: Extracting #5: cost 0 inf + 3114 94.291 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 94.291 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 94.291 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 94.292 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 94.292 * * [simplify]: iters left: 6 (9 enodes) 94.297 * * [simplify]: iters left: 5 (36 enodes) 94.303 * * [simplify]: iters left: 4 (56 enodes) 94.312 * * [simplify]: iters left: 3 (72 enodes) 94.322 * * [simplify]: iters left: 2 (76 enodes) 94.331 * * [simplify]: Extracting #0: cost 1 inf + 0 94.331 * * [simplify]: Extracting #1: cost 12 inf + 0 94.331 * * [simplify]: Extracting #2: cost 18 inf + 46 94.332 * * [simplify]: Extracting #3: cost 21 inf + 172 94.332 * * [simplify]: Extracting #4: cost 12 inf + 1055 94.332 * * [simplify]: Extracting #5: cost 2 inf + 2464 94.333 * * [simplify]: Extracting #6: cost 0 inf + 2789 94.333 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 94.333 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 94.333 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 94.334 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 94.334 * * [simplify]: iters left: 6 (11 enodes) 94.337 * * [simplify]: iters left: 5 (39 enodes) 94.346 * * [simplify]: iters left: 4 (57 enodes) 94.363 * * [simplify]: iters left: 3 (74 enodes) 94.377 * * [simplify]: iters left: 2 (79 enodes) 94.387 * * [simplify]: Extracting #0: cost 1 inf + 0 94.387 * * [simplify]: Extracting #1: cost 3 inf + 0 94.387 * * [simplify]: Extracting #2: cost 5 inf + 0 94.388 * * [simplify]: Extracting #3: cost 16 inf + 0 94.388 * * [simplify]: Extracting #4: cost 25 inf + 3 94.388 * * [simplify]: Extracting #5: cost 28 inf + 129 94.388 * * [simplify]: Extracting #6: cost 13 inf + 1889 94.389 * * [simplify]: Extracting #7: cost 3 inf + 3901 94.389 * * [simplify]: Extracting #8: cost 0 inf + 4410 94.390 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 94.390 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.390 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 94.391 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 94.391 * * [simplify]: iters left: 6 (10 enodes) 94.394 * * [simplify]: iters left: 5 (36 enodes) 94.400 * * [simplify]: iters left: 4 (54 enodes) 94.408 * * [simplify]: iters left: 3 (71 enodes) 94.417 * * [simplify]: iters left: 2 (76 enodes) 94.427 * * [simplify]: Extracting #0: cost 1 inf + 0 94.427 * * [simplify]: Extracting #1: cost 3 inf + 0 94.427 * * [simplify]: Extracting #2: cost 14 inf + 0 94.427 * * [simplify]: Extracting #3: cost 23 inf + 3 94.427 * * [simplify]: Extracting #4: cost 24 inf + 295 94.427 * * [simplify]: Extracting #5: cost 9 inf + 2419 94.428 * * [simplify]: Extracting #6: cost 0 inf + 3642 94.429 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 94.429 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.429 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 94.429 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 94.429 * * [simplify]: iters left: 5 (5 enodes) 94.431 * * [simplify]: iters left: 4 (17 enodes) 94.433 * * [simplify]: iters left: 3 (21 enodes) 94.437 * * [simplify]: iters left: 2 (24 enodes) 94.441 * * [simplify]: Extracting #0: cost 1 inf + 0 94.441 * * [simplify]: Extracting #1: cost 7 inf + 0 94.441 * * [simplify]: Extracting #2: cost 11 inf + 1 94.441 * * [simplify]: Extracting #3: cost 10 inf + 2 94.441 * * [simplify]: Extracting #4: cost 0 inf + 1218 94.441 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 94.441 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.441 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 94.441 * [simplify]: Simplifying (/ (sqrt U) 2) 94.441 * * [simplify]: iters left: 3 (4 enodes) 94.443 * * [simplify]: iters left: 2 (12 enodes) 94.444 * * [simplify]: Extracting #0: cost 1 inf + 0 94.444 * * [simplify]: Extracting #1: cost 4 inf + 0 94.445 * * [simplify]: Extracting #2: cost 5 inf + 1 94.445 * * [simplify]: Extracting #3: cost 4 inf + 2 94.445 * * [simplify]: Extracting #4: cost 0 inf + 248 94.445 * [simplify]: Simplified to (/ (sqrt U) 2) 94.445 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.445 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 94.445 * [simplify]: Simplifying (/ 1 2) 94.445 * * [simplify]: iters left: 2 (3 enodes) 94.447 * * [simplify]: iters left: 1 (12 enodes) 94.449 * * [simplify]: Extracting #0: cost 1 inf + 0 94.449 * * [simplify]: Extracting #1: cost 0 inf + 1 94.449 * [simplify]: Simplified to 1/2 94.449 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.449 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 94.449 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 94.449 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 94.449 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 94.449 * * [simplify]: iters left: 6 (7 enodes) 94.451 * * [simplify]: iters left: 5 (25 enodes) 94.457 * * [simplify]: iters left: 4 (33 enodes) 94.462 * * [simplify]: iters left: 3 (39 enodes) 94.467 * * [simplify]: Extracting #0: cost 1 inf + 0 94.467 * * [simplify]: Extracting #1: cost 8 inf + 0 94.467 * * [simplify]: Extracting #2: cost 11 inf + 2 94.468 * * [simplify]: Extracting #3: cost 12 inf + 44 94.468 * * [simplify]: Extracting #4: cost 10 inf + 87 94.468 * * [simplify]: Extracting #5: cost 4 inf + 660 94.468 * * [simplify]: Extracting #6: cost 1 inf + 1128 94.468 * * [simplify]: Extracting #7: cost 0 inf + 1311 94.469 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 94.469 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (cos (/ K 2))) J)) 94.469 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 94.469 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 94.469 * * [simplify]: iters left: 6 (10 enodes) 94.472 * * [simplify]: iters left: 5 (39 enodes) 94.485 * * [simplify]: iters left: 4 (75 enodes) 94.514 * * [simplify]: iters left: 3 (155 enodes) 94.566 * * [simplify]: iters left: 2 (223 enodes) 94.630 * * [simplify]: iters left: 1 (275 enodes) 94.687 * * [simplify]: Extracting #0: cost 1 inf + 0 94.687 * * [simplify]: Extracting #1: cost 34 inf + 0 94.687 * * [simplify]: Extracting #2: cost 56 inf + 128 94.688 * * [simplify]: Extracting #3: cost 42 inf + 1204 94.689 * * [simplify]: Extracting #4: cost 19 inf + 4613 94.691 * * [simplify]: Extracting #5: cost 0 inf + 8215 94.693 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 94.694 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 94.694 * * * * [progress]: [ 110 / 142 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> 94.694 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 94.694 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 94.694 * [simplify]: Simplifying (* (cos (/ K 2)) J) 94.694 * * [simplify]: iters left: 5 (6 enodes) 94.696 * * [simplify]: iters left: 4 (19 enodes) 94.699 * * [simplify]: Extracting #0: cost 1 inf + 0 94.699 * * [simplify]: Extracting #1: cost 4 inf + 0 94.699 * * [simplify]: Extracting #2: cost 5 inf + 1 94.699 * * [simplify]: Extracting #3: cost 8 inf + 1 94.699 * * [simplify]: Extracting #4: cost 6 inf + 3 94.699 * * [simplify]: Extracting #5: cost 0 inf + 577 94.699 * [simplify]: Simplified to (* (cos (/ K 2)) J) 94.699 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (pow (* (cos (/ K 2)) J) 1)))) 1)) -2) (cos (/ K 2))) J)) 94.699 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 94.699 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 94.699 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 94.700 * * [simplify]: iters left: 6 (8 enodes) 94.702 * * [simplify]: iters left: 5 (25 enodes) 94.707 * * [simplify]: Extracting #0: cost 1 inf + 0 94.707 * * [simplify]: Extracting #1: cost 4 inf + 0 94.707 * * [simplify]: Extracting #2: cost 8 inf + 0 94.707 * * [simplify]: Extracting #3: cost 8 inf + 72 94.707 * * [simplify]: Extracting #4: cost 10 inf + 143 94.707 * * [simplify]: Extracting #5: cost 8 inf + 145 94.707 * * [simplify]: Extracting #6: cost 5 inf + 331 94.707 * * [simplify]: Extracting #7: cost 1 inf + 1060 94.708 * * [simplify]: Extracting #8: cost 0 inf + 1343 94.708 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 94.708 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (exp (+ (log J) (log (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 94.709 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 94.709 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 94.709 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 94.709 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 94.709 * * [simplify]: iters left: 6 (10 enodes) 94.714 * * [simplify]: iters left: 5 (37 enodes) 94.727 * * [simplify]: iters left: 4 (66 enodes) 94.744 * * [simplify]: iters left: 3 (125 enodes) 94.773 * * [simplify]: iters left: 2 (196 enodes) 94.832 * * [simplify]: iters left: 1 (353 enodes) 94.983 * * [simplify]: Extracting #0: cost 1 inf + 0 94.983 * * [simplify]: Extracting #1: cost 51 inf + 0 94.984 * * [simplify]: Extracting #2: cost 146 inf + 124 94.985 * * [simplify]: Extracting #3: cost 153 inf + 460 94.986 * * [simplify]: Extracting #4: cost 133 inf + 4920 94.990 * * [simplify]: Extracting #5: cost 45 inf + 43385 94.998 * * [simplify]: Extracting #6: cost 4 inf + 66357 95.011 * * [simplify]: Extracting #7: cost 0 inf + 69278 95.025 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 95.025 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 95.026 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 95.026 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 95.026 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 95.026 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 95.026 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 95.026 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 95.027 * * [simplify]: iters left: 6 (8 enodes) 95.030 * * [simplify]: iters left: 5 (25 enodes) 95.035 * * [simplify]: Extracting #0: cost 1 inf + 0 95.035 * * [simplify]: Extracting #1: cost 4 inf + 0 95.035 * * [simplify]: Extracting #2: cost 8 inf + 0 95.035 * * [simplify]: Extracting #3: cost 8 inf + 42 95.035 * * [simplify]: Extracting #4: cost 10 inf + 83 95.035 * * [simplify]: Extracting #5: cost 8 inf + 85 95.036 * * [simplify]: Extracting #6: cost 5 inf + 271 95.036 * * [simplify]: Extracting #7: cost 1 inf + 880 95.036 * * [simplify]: Extracting #8: cost 0 inf + 1103 95.036 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 95.036 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J)))))) 1)) -2) (cos (/ K 2))) J)) 95.036 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 95.036 * * [simplify]: iters left: 6 (8 enodes) 95.038 * * [simplify]: iters left: 5 (25 enodes) 95.042 * * [simplify]: Extracting #0: cost 1 inf + 0 95.042 * * [simplify]: Extracting #1: cost 4 inf + 0 95.042 * * [simplify]: Extracting #2: cost 8 inf + 0 95.042 * * [simplify]: Extracting #3: cost 8 inf + 42 95.042 * * [simplify]: Extracting #4: cost 10 inf + 83 95.042 * * [simplify]: Extracting #5: cost 8 inf + 85 95.043 * * [simplify]: Extracting #6: cost 5 inf + 271 95.043 * * [simplify]: Extracting #7: cost 1 inf + 880 95.043 * * [simplify]: Extracting #8: cost 0 inf + 1103 95.043 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 95.043 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 95.043 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 95.043 * [simplify]: Simplifying (cbrt J) 95.043 * * [simplify]: iters left: 1 (2 enodes) 95.044 * * [simplify]: Extracting #0: cost 1 inf + 0 95.044 * * [simplify]: Extracting #1: cost 3 inf + 0 95.044 * * [simplify]: Extracting #2: cost 2 inf + 1 95.044 * * [simplify]: Extracting #3: cost 0 inf + 163 95.044 * [simplify]: Simplified to (cbrt J) 95.044 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))) 1)) -2) (cos (/ K 2))) J)) 95.044 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 95.047 * [simplify]: Simplifying (sqrt J) 95.047 * * [simplify]: iters left: 1 (2 enodes) 95.047 * * [simplify]: Extracting #0: cost 1 inf + 0 95.047 * * [simplify]: Extracting #1: cost 3 inf + 0 95.048 * * [simplify]: Extracting #2: cost 2 inf + 1 95.048 * * [simplify]: Extracting #3: cost 0 inf + 83 95.048 * [simplify]: Simplified to (sqrt J) 95.048 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cos (/ K 2)) (sqrt J)) (sqrt J))))) 1)) -2) (cos (/ K 2))) J)) 95.048 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 95.048 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 95.048 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 95.048 * * [simplify]: iters left: 6 (6 enodes) 95.050 * * [simplify]: iters left: 5 (18 enodes) 95.053 * * [simplify]: Extracting #0: cost 1 inf + 0 95.053 * * [simplify]: Extracting #1: cost 3 inf + 0 95.053 * * [simplify]: Extracting #2: cost 5 inf + 0 95.053 * * [simplify]: Extracting #3: cost 7 inf + 0 95.053 * * [simplify]: Extracting #4: cost 10 inf + 0 95.053 * * [simplify]: Extracting #5: cost 8 inf + 2 95.053 * * [simplify]: Extracting #6: cost 0 inf + 1098 95.053 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 95.053 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 95.053 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 95.054 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 95.054 * * [simplify]: iters left: 4 (5 enodes) 95.055 * * [simplify]: iters left: 3 (15 enodes) 95.059 * * [simplify]: Extracting #0: cost 1 inf + 0 95.059 * * [simplify]: Extracting #1: cost 3 inf + 0 95.059 * * [simplify]: Extracting #2: cost 5 inf + 0 95.059 * * [simplify]: Extracting #3: cost 8 inf + 0 95.059 * * [simplify]: Extracting #4: cost 6 inf + 2 95.059 * * [simplify]: Extracting #5: cost 0 inf + 574 95.060 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 95.060 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 95.060 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 95.060 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> 95.060 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 95.060 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 95.060 * [simplify]: Simplifying 1 95.060 * * [simplify]: iters left: 0 (1 enodes) 95.062 * * [simplify]: Extracting #0: cost 1 inf + 0 95.062 * * [simplify]: Extracting #1: cost 0 inf + 1 95.062 * [simplify]: Simplified to 1 95.062 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 -2) (cos (/ K 2))) J)) 95.062 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 95.062 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 95.062 * * [simplify]: iters left: 6 (9 enodes) 95.066 * * [simplify]: iters left: 5 (34 enodes) 95.078 * * [simplify]: iters left: 4 (56 enodes) 95.090 * * [simplify]: iters left: 3 (90 enodes) 95.105 * * [simplify]: iters left: 2 (114 enodes) 95.123 * * [simplify]: iters left: 1 (131 enodes) 95.144 * * [simplify]: Extracting #0: cost 1 inf + 0 95.144 * * [simplify]: Extracting #1: cost 22 inf + 0 95.145 * * [simplify]: Extracting #2: cost 37 inf + 3 95.145 * * [simplify]: Extracting #3: cost 31 inf + 380 95.145 * * [simplify]: Extracting #4: cost 17 inf + 1834 95.146 * * [simplify]: Extracting #5: cost 3 inf + 4117 95.147 * * [simplify]: Extracting #6: cost 0 inf + 4586 95.150 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 95.150 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)) 95.150 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 95.150 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 95.150 * * [simplify]: iters left: 6 (9 enodes) 95.155 * * [simplify]: iters left: 5 (34 enodes) 95.166 * * [simplify]: iters left: 4 (56 enodes) 95.183 * * [simplify]: iters left: 3 (90 enodes) 95.210 * * [simplify]: iters left: 2 (114 enodes) 95.238 * * [simplify]: iters left: 1 (131 enodes) 95.257 * * [simplify]: Extracting #0: cost 1 inf + 0 95.257 * * [simplify]: Extracting #1: cost 22 inf + 0 95.257 * * [simplify]: Extracting #2: cost 37 inf + 3 95.258 * * [simplify]: Extracting #3: cost 31 inf + 380 95.258 * * [simplify]: Extracting #4: cost 17 inf + 1834 95.259 * * [simplify]: Extracting #5: cost 3 inf + 4117 95.260 * * [simplify]: Extracting #6: cost 0 inf + 4586 95.261 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 95.261 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)) 95.261 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 95.261 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 95.262 * * [simplify]: iters left: 6 (10 enodes) 95.265 * * [simplify]: iters left: 5 (43 enodes) 95.274 * * [simplify]: iters left: 4 (79 enodes) 95.286 * * [simplify]: iters left: 3 (118 enodes) 95.320 * * [simplify]: iters left: 2 (171 enodes) 95.368 * * [simplify]: iters left: 1 (242 enodes) 95.422 * * [simplify]: Extracting #0: cost 1 inf + 0 95.422 * * [simplify]: Extracting #1: cost 6 inf + 0 95.423 * * [simplify]: Extracting #2: cost 41 inf + 0 95.423 * * [simplify]: Extracting #3: cost 56 inf + 213 95.425 * * [simplify]: Extracting #4: cost 20 inf + 2732 95.428 * * [simplify]: Extracting #5: cost 1 inf + 4576 95.429 * * [simplify]: Extracting #6: cost 0 inf + 4698 95.431 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 95.431 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 95.431 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 95.431 * [simplify]: Simplifying (* -1 U) 95.431 * * [simplify]: iters left: 2 (3 enodes) 95.432 * * [simplify]: iters left: 1 (11 enodes) 95.434 * * [simplify]: Extracting #0: cost 1 inf + 0 95.434 * * [simplify]: Extracting #1: cost 4 inf + 0 95.434 * * [simplify]: Extracting #2: cost 0 inf + 84 95.434 * [simplify]: Simplified to (- U) 95.434 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 95.434 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 95.435 * [simplify]: Simplifying (* -1 U) 95.435 * * [simplify]: iters left: 2 (3 enodes) 95.436 * * [simplify]: iters left: 1 (11 enodes) 95.438 * * [simplify]: Extracting #0: cost 1 inf + 0 95.438 * * [simplify]: Extracting #1: cost 4 inf + 0 95.438 * * [simplify]: Extracting #2: cost 0 inf + 84 95.438 * [simplify]: Simplified to (- U) 95.438 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 95.438 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 95.438 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 95.438 * * [simplify]: iters left: 6 (22 enodes) 95.447 * * [simplify]: iters left: 5 (98 enodes) 95.470 * * [simplify]: iters left: 4 (205 enodes) 95.529 * * [simplify]: Extracting #0: cost 1 inf + 0 95.529 * * [simplify]: Extracting #1: cost 8 inf + 0 95.529 * * [simplify]: Extracting #2: cost 99 inf + 0 95.530 * * [simplify]: Extracting #3: cost 194 inf + 251 95.535 * * [simplify]: Extracting #4: cost 104 inf + 10603 95.541 * * [simplify]: Extracting #5: cost 8 inf + 24728 95.547 * * [simplify]: Extracting #6: cost 0 inf + 25715 95.554 * * [simplify]: Extracting #7: cost 0 inf + 25355 95.560 * * [simplify]: Extracting #8: cost 0 inf + 25315 95.570 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 95.570 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (cos (/ K 2))) J)) 95.570 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 95.571 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 95.571 * * [simplify]: iters left: 6 (14 enodes) 95.578 * * [simplify]: iters left: 5 (60 enodes) 95.590 * * [simplify]: iters left: 4 (121 enodes) 95.629 * * [simplify]: iters left: 3 (401 enodes) 95.849 * * [simplify]: Extracting #0: cost 1 inf + 0 95.849 * * [simplify]: Extracting #1: cost 135 inf + 0 95.850 * * [simplify]: Extracting #2: cost 287 inf + 168 95.852 * * [simplify]: Extracting #3: cost 261 inf + 2234 95.856 * * [simplify]: Extracting #4: cost 167 inf + 19219 95.870 * * [simplify]: Extracting #5: cost 11 inf + 55565 95.887 * * [simplify]: Extracting #6: cost 0 inf + 57309 95.913 * * [simplify]: Extracting #7: cost 0 inf + 57229 95.931 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 95.931 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (cos (/ K 2))) J)) 95.931 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 95.931 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 95.931 * * [simplify]: iters left: 6 (14 enodes) 95.936 * * [simplify]: iters left: 5 (60 enodes) 95.948 * * [simplify]: iters left: 4 (121 enodes) 96.010 * * [simplify]: iters left: 3 (401 enodes) 96.196 * * [simplify]: Extracting #0: cost 1 inf + 0 96.196 * * [simplify]: Extracting #1: cost 135 inf + 0 96.198 * * [simplify]: Extracting #2: cost 287 inf + 168 96.199 * * [simplify]: Extracting #3: cost 261 inf + 2234 96.204 * * [simplify]: Extracting #4: cost 167 inf + 19219 96.218 * * [simplify]: Extracting #5: cost 11 inf + 55565 96.248 * * [simplify]: Extracting #6: cost 0 inf + 57309 96.263 * * [simplify]: Extracting #7: cost 0 inf + 57229 96.278 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 96.278 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (cos (/ K 2))) J)) 96.278 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 96.279 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 96.279 * * [simplify]: iters left: 6 (8 enodes) 96.282 * * [simplify]: iters left: 5 (35 enodes) 96.289 * * [simplify]: iters left: 4 (67 enodes) 96.313 * * [simplify]: iters left: 3 (133 enodes) 96.364 * * [simplify]: iters left: 2 (207 enodes) 96.436 * * [simplify]: iters left: 1 (230 enodes) 96.484 * * [simplify]: Extracting #0: cost 1 inf + 0 96.485 * * [simplify]: Extracting #1: cost 6 inf + 0 96.485 * * [simplify]: Extracting #2: cost 28 inf + 1 96.485 * * [simplify]: Extracting #3: cost 33 inf + 378 96.486 * * [simplify]: Extracting #4: cost 2 inf + 2884 96.487 * * [simplify]: Extracting #5: cost 0 inf + 3130 96.488 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 96.488 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (- J (* (* K K) (* J 1/8)))))) 1)) -2) (cos (/ K 2))) J)) 96.488 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 96.488 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 96.488 * * [simplify]: iters left: 5 (6 enodes) 96.490 * * [simplify]: iters left: 4 (20 enodes) 96.493 * * [simplify]: Extracting #0: cost 1 inf + 0 96.493 * * [simplify]: Extracting #1: cost 4 inf + 0 96.493 * * [simplify]: Extracting #2: cost 5 inf + 1 96.493 * * [simplify]: Extracting #3: cost 8 inf + 1 96.493 * * [simplify]: Extracting #4: cost 6 inf + 3 96.493 * * [simplify]: Extracting #5: cost 0 inf + 577 96.494 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 96.494 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) -2) (cos (/ K 2))) J)) 96.494 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 96.494 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 96.494 * * [simplify]: iters left: 5 (6 enodes) 96.496 * * [simplify]: iters left: 4 (20 enodes) 96.501 * * [simplify]: Extracting #0: cost 1 inf + 0 96.501 * * [simplify]: Extracting #1: cost 4 inf + 0 96.502 * * [simplify]: Extracting #2: cost 5 inf + 1 96.502 * * [simplify]: Extracting #3: cost 8 inf + 1 96.502 * * [simplify]: Extracting #4: cost 6 inf + 3 96.502 * * [simplify]: Extracting #5: cost 0 inf + 577 96.502 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 96.502 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) -2) (cos (/ K 2))) J)) 96.503 * * * [progress]: adding candidates to table 98.565 * * [progress]: iteration 3 / 4 98.565 * * * [progress]: picking best candidate 98.607 * * * * [pick]: Picked # 98.608 * * * [progress]: localizing error 98.688 * * * [progress]: generating rewritten candidates 98.688 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 98.853 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 1) 99.005 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 99.152 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 100.344 * * * [progress]: generating series expansions 100.344 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 100.345 * [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)) 100.345 * [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 0 100.345 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 100.345 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 100.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 100.345 * [taylor]: Taking taylor expansion of 1/4 in J 100.345 * [backup-simplify]: Simplify 1/4 into 1/4 100.345 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 100.345 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.345 * [taylor]: Taking taylor expansion of U in J 100.345 * [backup-simplify]: Simplify U into U 100.345 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 100.345 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 100.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 100.345 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 100.345 * [taylor]: Taking taylor expansion of 1/2 in J 100.345 * [backup-simplify]: Simplify 1/2 into 1/2 100.345 * [taylor]: Taking taylor expansion of K in J 100.345 * [backup-simplify]: Simplify K into K 100.345 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.345 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.345 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.345 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.345 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.346 * [backup-simplify]: Simplify (- 0) into 0 100.346 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.346 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.346 * [taylor]: Taking taylor expansion of J in J 100.346 * [backup-simplify]: Simplify 0 into 0 100.346 * [backup-simplify]: Simplify 1 into 1 100.346 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.346 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.347 * [backup-simplify]: Simplify (* 1 1) into 1 100.347 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 100.347 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 100.347 * [taylor]: Taking taylor expansion of 1 in J 100.347 * [backup-simplify]: Simplify 1 into 1 100.347 * [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))) 100.347 * [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))) 100.347 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 100.347 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.348 * [backup-simplify]: Simplify (+ 0) into 0 100.348 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.349 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.350 * [backup-simplify]: Simplify (- 0) into 0 100.350 * [backup-simplify]: Simplify (+ 0 0) into 0 100.350 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.350 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 100.351 * [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 0 100.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 100.351 * [backup-simplify]: Simplify (+ 0 0) into 0 100.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 100.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 100.351 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 100.352 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 100.352 * [taylor]: Taking taylor expansion of 1/4 in K 100.352 * [backup-simplify]: Simplify 1/4 into 1/4 100.352 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 100.352 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.352 * [taylor]: Taking taylor expansion of U in K 100.352 * [backup-simplify]: Simplify U into U 100.352 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 100.352 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 100.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.352 * [taylor]: Taking taylor expansion of 1/2 in K 100.352 * [backup-simplify]: Simplify 1/2 into 1/2 100.352 * [taylor]: Taking taylor expansion of K in K 100.352 * [backup-simplify]: Simplify 0 into 0 100.352 * [backup-simplify]: Simplify 1 into 1 100.352 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.353 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.353 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.353 * [taylor]: Taking taylor expansion of J in K 100.353 * [backup-simplify]: Simplify J into J 100.353 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.354 * [backup-simplify]: Simplify (* 1 1) into 1 100.354 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.354 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 100.354 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 100.354 * [taylor]: Taking taylor expansion of 1 in K 100.354 * [backup-simplify]: Simplify 1 into 1 100.354 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 100.354 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 100.355 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 100.355 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.355 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.355 * [backup-simplify]: Simplify (+ 0) into 0 100.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 100.357 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 100.357 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 100.358 * [backup-simplify]: Simplify (+ 0 0) into 0 100.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 100.358 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.358 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.358 * [taylor]: Taking taylor expansion of 1/4 in U 100.358 * [backup-simplify]: Simplify 1/4 into 1/4 100.358 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.358 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.358 * [taylor]: Taking taylor expansion of U in U 100.358 * [backup-simplify]: Simplify 0 into 0 100.358 * [backup-simplify]: Simplify 1 into 1 100.358 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.358 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.358 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.359 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.359 * [taylor]: Taking taylor expansion of 1/2 in U 100.359 * [backup-simplify]: Simplify 1/2 into 1/2 100.359 * [taylor]: Taking taylor expansion of K in U 100.359 * [backup-simplify]: Simplify K into K 100.359 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.359 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.359 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.359 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.359 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.359 * [backup-simplify]: Simplify (- 0) into 0 100.360 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.360 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.360 * [taylor]: Taking taylor expansion of J in U 100.360 * [backup-simplify]: Simplify J into J 100.360 * [backup-simplify]: Simplify (* 1 1) into 1 100.360 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.360 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.360 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.361 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.361 * [taylor]: Taking taylor expansion of 1 in U 100.361 * [backup-simplify]: Simplify 1 into 1 100.361 * [backup-simplify]: Simplify (+ 0 1) into 1 100.361 * [backup-simplify]: Simplify (sqrt 1) into 1 100.362 * [backup-simplify]: Simplify (+ 0 0) into 0 100.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.363 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.363 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.363 * [taylor]: Taking taylor expansion of 1/4 in U 100.363 * [backup-simplify]: Simplify 1/4 into 1/4 100.363 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.363 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.363 * [taylor]: Taking taylor expansion of U in U 100.363 * [backup-simplify]: Simplify 0 into 0 100.363 * [backup-simplify]: Simplify 1 into 1 100.363 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.363 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.363 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.363 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.363 * [taylor]: Taking taylor expansion of 1/2 in U 100.363 * [backup-simplify]: Simplify 1/2 into 1/2 100.363 * [taylor]: Taking taylor expansion of K in U 100.363 * [backup-simplify]: Simplify K into K 100.363 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.363 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.363 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.363 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.363 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.364 * [backup-simplify]: Simplify (- 0) into 0 100.364 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.364 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.364 * [taylor]: Taking taylor expansion of J in U 100.364 * [backup-simplify]: Simplify J into J 100.364 * [backup-simplify]: Simplify (* 1 1) into 1 100.365 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.365 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.365 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.365 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.365 * [taylor]: Taking taylor expansion of 1 in U 100.365 * [backup-simplify]: Simplify 1 into 1 100.365 * [backup-simplify]: Simplify (+ 0 1) into 1 100.366 * [backup-simplify]: Simplify (sqrt 1) into 1 100.366 * [backup-simplify]: Simplify (+ 0 0) into 0 100.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.367 * [taylor]: Taking taylor expansion of 1 in K 100.367 * [backup-simplify]: Simplify 1 into 1 100.367 * [taylor]: Taking taylor expansion of 1 in J 100.367 * [backup-simplify]: Simplify 1 into 1 100.367 * [taylor]: Taking taylor expansion of 0 in K 100.367 * [backup-simplify]: Simplify 0 into 0 100.367 * [taylor]: Taking taylor expansion of 0 in J 100.367 * [backup-simplify]: Simplify 0 into 0 100.367 * [taylor]: Taking taylor expansion of 0 in J 100.367 * [backup-simplify]: Simplify 0 into 0 100.367 * [backup-simplify]: Simplify 1 into 1 100.368 * [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))) 100.368 * [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)))) 100.369 * [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))) 100.369 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 100.370 * [taylor]: Taking taylor expansion of 1/8 in K 100.370 * [backup-simplify]: Simplify 1/8 into 1/8 100.370 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 100.370 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 100.370 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.370 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.370 * [taylor]: Taking taylor expansion of 1/2 in K 100.370 * [backup-simplify]: Simplify 1/2 into 1/2 100.370 * [taylor]: Taking taylor expansion of K in K 100.370 * [backup-simplify]: Simplify 0 into 0 100.370 * [backup-simplify]: Simplify 1 into 1 100.370 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.371 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.371 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.371 * [taylor]: Taking taylor expansion of J in K 100.371 * [backup-simplify]: Simplify J into J 100.371 * [backup-simplify]: Simplify (* 1 1) into 1 100.371 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.372 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 100.372 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 100.372 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 100.372 * [taylor]: Taking taylor expansion of 1/8 in J 100.372 * [backup-simplify]: Simplify 1/8 into 1/8 100.372 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.372 * [taylor]: Taking taylor expansion of J in J 100.372 * [backup-simplify]: Simplify 0 into 0 100.372 * [backup-simplify]: Simplify 1 into 1 100.372 * [backup-simplify]: Simplify (* 1 1) into 1 100.373 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 100.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 100.374 * [backup-simplify]: Simplify 0 into 0 100.374 * [taylor]: Taking taylor expansion of 0 in J 100.374 * [backup-simplify]: Simplify 0 into 0 100.374 * [taylor]: Taking taylor expansion of 0 in J 100.374 * [backup-simplify]: Simplify 0 into 0 100.374 * [backup-simplify]: Simplify 0 into 0 100.374 * [backup-simplify]: Simplify 0 into 0 100.374 * [backup-simplify]: Simplify 0 into 0 100.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.375 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.376 * [backup-simplify]: Simplify (+ 0) into 0 100.376 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.378 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.378 * [backup-simplify]: Simplify (- 0) into 0 100.379 * [backup-simplify]: Simplify (+ 0 0) into 0 100.379 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.379 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 100.379 * [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 0 100.380 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 100.381 * [backup-simplify]: Simplify (+ 0 0) into 0 100.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 100.381 * [taylor]: Taking taylor expansion of 0 in K 100.381 * [backup-simplify]: Simplify 0 into 0 100.381 * [taylor]: Taking taylor expansion of 0 in J 100.381 * [backup-simplify]: Simplify 0 into 0 100.381 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.382 * [backup-simplify]: Simplify (+ 0) into 0 100.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 100.384 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 100.384 * [taylor]: Taking taylor expansion of 0 in J 100.384 * [backup-simplify]: Simplify 0 into 0 100.384 * [taylor]: Taking taylor expansion of 0 in J 100.384 * [backup-simplify]: Simplify 0 into 0 100.384 * [taylor]: Taking taylor expansion of 0 in J 100.384 * [backup-simplify]: Simplify 0 into 0 100.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.386 * [backup-simplify]: Simplify 0 into 0 100.386 * [backup-simplify]: Simplify 0 into 0 100.386 * [backup-simplify]: Simplify 1 into 1 100.386 * [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)) 100.387 * [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 0 100.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 100.387 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 100.387 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 100.387 * [taylor]: Taking taylor expansion of 1/4 in J 100.387 * [backup-simplify]: Simplify 1/4 into 1/4 100.387 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 100.387 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.387 * [taylor]: Taking taylor expansion of J in J 100.387 * [backup-simplify]: Simplify 0 into 0 100.387 * [backup-simplify]: Simplify 1 into 1 100.387 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 100.387 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.387 * [taylor]: Taking taylor expansion of U in J 100.387 * [backup-simplify]: Simplify U into U 100.387 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 100.387 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.387 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.387 * [taylor]: Taking taylor expansion of 1/2 in J 100.387 * [backup-simplify]: Simplify 1/2 into 1/2 100.387 * [taylor]: Taking taylor expansion of K in J 100.387 * [backup-simplify]: Simplify K into K 100.387 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.387 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.387 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.388 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.388 * [backup-simplify]: Simplify (- 0) into 0 100.388 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.388 * [backup-simplify]: Simplify (* 1 1) into 1 100.389 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.389 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.389 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.389 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 100.389 * [taylor]: Taking taylor expansion of 1 in J 100.389 * [backup-simplify]: Simplify 1 into 1 100.390 * [backup-simplify]: Simplify (+ 0 1) into 1 100.390 * [backup-simplify]: Simplify (sqrt 1) into 1 100.390 * [backup-simplify]: Simplify (+ 0 0) into 0 100.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 100.391 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 100.392 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 100.392 * [taylor]: Taking taylor expansion of 1/4 in K 100.392 * [backup-simplify]: Simplify 1/4 into 1/4 100.392 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 100.392 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.392 * [taylor]: Taking taylor expansion of J in K 100.392 * [backup-simplify]: Simplify J into J 100.392 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 100.392 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.392 * [taylor]: Taking taylor expansion of U in K 100.392 * [backup-simplify]: Simplify U into U 100.392 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 100.392 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.392 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.392 * [taylor]: Taking taylor expansion of 1/2 in K 100.392 * [backup-simplify]: Simplify 1/2 into 1/2 100.392 * [taylor]: Taking taylor expansion of K in K 100.392 * [backup-simplify]: Simplify 0 into 0 100.392 * [backup-simplify]: Simplify 1 into 1 100.392 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.393 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.393 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.393 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.393 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.393 * [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))) 100.393 * [taylor]: Taking taylor expansion of 1 in K 100.393 * [backup-simplify]: Simplify 1 into 1 100.394 * [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)))) 100.394 * [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) 100.394 * [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)) 100.395 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.395 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.395 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.396 * [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 0 100.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.397 * [backup-simplify]: Simplify (+ 0 0) into 0 100.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 100.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.398 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.398 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.398 * [taylor]: Taking taylor expansion of 1/4 in U 100.398 * [backup-simplify]: Simplify 1/4 into 1/4 100.398 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.398 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.398 * [taylor]: Taking taylor expansion of J in U 100.398 * [backup-simplify]: Simplify J into J 100.398 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.398 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.398 * [taylor]: Taking taylor expansion of U in U 100.398 * [backup-simplify]: Simplify 0 into 0 100.398 * [backup-simplify]: Simplify 1 into 1 100.398 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.398 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.398 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.398 * [taylor]: Taking taylor expansion of 1/2 in U 100.398 * [backup-simplify]: Simplify 1/2 into 1/2 100.398 * [taylor]: Taking taylor expansion of K in U 100.398 * [backup-simplify]: Simplify K into K 100.398 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.398 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.399 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.399 * [backup-simplify]: Simplify (- 0) into 0 100.399 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.399 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.400 * [backup-simplify]: Simplify (* 1 1) into 1 100.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.400 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.400 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.400 * [taylor]: Taking taylor expansion of 1 in U 100.400 * [backup-simplify]: Simplify 1 into 1 100.401 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 100.401 * [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))) 100.401 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.401 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.402 * [backup-simplify]: Simplify (+ 0) into 0 100.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.402 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.404 * [backup-simplify]: Simplify (- 0) into 0 100.404 * [backup-simplify]: Simplify (+ 0 0) into 0 100.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.406 * [backup-simplify]: 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 0 100.407 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.407 * [backup-simplify]: Simplify (+ 0 0) into 0 100.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.408 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.408 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.408 * [taylor]: Taking taylor expansion of 1/4 in U 100.408 * [backup-simplify]: Simplify 1/4 into 1/4 100.408 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.408 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.408 * [taylor]: Taking taylor expansion of J in U 100.408 * [backup-simplify]: Simplify J into J 100.408 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.408 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.408 * [taylor]: Taking taylor expansion of U in U 100.408 * [backup-simplify]: Simplify 0 into 0 100.408 * [backup-simplify]: Simplify 1 into 1 100.408 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.408 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.408 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.408 * [taylor]: Taking taylor expansion of 1/2 in U 100.408 * [backup-simplify]: Simplify 1/2 into 1/2 100.408 * [taylor]: Taking taylor expansion of K in U 100.408 * [backup-simplify]: Simplify K into K 100.408 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.408 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.408 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.408 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.409 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.409 * [backup-simplify]: Simplify (- 0) into 0 100.409 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.409 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.410 * [backup-simplify]: Simplify (* 1 1) into 1 100.410 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.410 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.410 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.410 * [taylor]: Taking taylor expansion of 1 in U 100.410 * [backup-simplify]: Simplify 1 into 1 100.410 * [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))) 100.411 * [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))) 100.411 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.411 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.412 * [backup-simplify]: Simplify (+ 0) into 0 100.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.412 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.414 * [backup-simplify]: Simplify (- 0) into 0 100.415 * [backup-simplify]: Simplify (+ 0 0) into 0 100.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.417 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 100.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.418 * [backup-simplify]: Simplify (+ 0 0) into 0 100.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 100.418 * [taylor]: Taking taylor expansion of 1/2 in K 100.418 * [backup-simplify]: Simplify 1/2 into 1/2 100.418 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 100.418 * [taylor]: Taking taylor expansion of J in K 100.418 * [backup-simplify]: Simplify J into J 100.418 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.418 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.418 * [taylor]: Taking taylor expansion of 1/2 in K 100.418 * [backup-simplify]: Simplify 1/2 into 1/2 100.418 * [taylor]: Taking taylor expansion of K in K 100.418 * [backup-simplify]: Simplify 0 into 0 100.418 * [backup-simplify]: Simplify 1 into 1 100.419 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.419 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.419 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 100.419 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 100.419 * [taylor]: Taking taylor expansion of 1/2 in J 100.419 * [backup-simplify]: Simplify 1/2 into 1/2 100.419 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 100.419 * [taylor]: Taking taylor expansion of J in J 100.419 * [backup-simplify]: Simplify 0 into 0 100.419 * [backup-simplify]: Simplify 1 into 1 100.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.419 * [taylor]: Taking taylor expansion of 1/2 in J 100.419 * [backup-simplify]: Simplify 1/2 into 1/2 100.419 * [taylor]: Taking taylor expansion of K in J 100.419 * [backup-simplify]: Simplify K into K 100.419 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.419 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.420 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.420 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.420 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.420 * [backup-simplify]: Simplify (- 0) into 0 100.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.420 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 100.420 * [taylor]: Taking taylor expansion of 0 in K 100.420 * [backup-simplify]: Simplify 0 into 0 100.420 * [taylor]: Taking taylor expansion of 0 in J 100.420 * [backup-simplify]: Simplify 0 into 0 100.421 * [backup-simplify]: Simplify 0 into 0 100.421 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 100.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 100.421 * [taylor]: Taking taylor expansion of 0 in J 100.421 * [backup-simplify]: Simplify 0 into 0 100.421 * [backup-simplify]: Simplify 0 into 0 100.422 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 100.422 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 100.422 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.424 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.426 * [backup-simplify]: Simplify (- 0) into 0 100.426 * [backup-simplify]: Simplify (+ 0 0) into 0 100.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 100.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 100.429 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 100.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.430 * [backup-simplify]: Simplify (+ 0 1) into 1 100.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 100.431 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 100.431 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.431 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.431 * [taylor]: Taking taylor expansion of 1/2 in K 100.431 * [backup-simplify]: Simplify 1/2 into 1/2 100.431 * [taylor]: Taking taylor expansion of K in K 100.431 * [backup-simplify]: Simplify 0 into 0 100.431 * [backup-simplify]: Simplify 1 into 1 100.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.432 * [taylor]: Taking taylor expansion of J in K 100.432 * [backup-simplify]: Simplify J into J 100.432 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 100.432 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 100.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.432 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.432 * [taylor]: Taking taylor expansion of 1/2 in J 100.432 * [backup-simplify]: Simplify 1/2 into 1/2 100.432 * [taylor]: Taking taylor expansion of K in J 100.432 * [backup-simplify]: Simplify K into K 100.432 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.433 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.433 * [taylor]: Taking taylor expansion of J in J 100.433 * [backup-simplify]: Simplify 0 into 0 100.433 * [backup-simplify]: Simplify 1 into 1 100.433 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.433 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.433 * [backup-simplify]: Simplify (- 0) into 0 100.433 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.433 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.434 * [backup-simplify]: Simplify (+ 0) into 0 100.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.435 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.436 * [backup-simplify]: Simplify (- 0) into 0 100.437 * [backup-simplify]: Simplify (+ 0 0) into 0 100.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 100.438 * [backup-simplify]: Simplify 0 into 0 100.438 * [taylor]: Taking taylor expansion of 0 in J 100.438 * [backup-simplify]: Simplify 0 into 0 100.438 * [backup-simplify]: Simplify 0 into 0 100.438 * [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 0 100.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 100.439 * [taylor]: Taking taylor expansion of 0 in J 100.439 * [backup-simplify]: Simplify 0 into 0 100.439 * [backup-simplify]: Simplify 0 into 0 100.439 * [backup-simplify]: Simplify 0 into 0 100.439 * [backup-simplify]: Simplify 0 into 0 100.440 * [backup-simplify]: Simplify (+ 0) into 0 100.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.441 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.442 * [backup-simplify]: Simplify (- 0) into 0 100.442 * [backup-simplify]: Simplify (+ 0 0) into 0 100.443 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 100.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 100.443 * [backup-simplify]: Simplify 0 into 0 100.443 * [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))) 100.444 * [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)))))) 100.444 * [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 0 100.444 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 100.444 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 100.445 * [taylor]: Taking taylor expansion of 1 in J 100.445 * [backup-simplify]: Simplify 1 into 1 100.445 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 100.445 * [taylor]: Taking taylor expansion of 1/4 in J 100.445 * [backup-simplify]: Simplify 1/4 into 1/4 100.445 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 100.445 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.445 * [taylor]: Taking taylor expansion of J in J 100.445 * [backup-simplify]: Simplify 0 into 0 100.445 * [backup-simplify]: Simplify 1 into 1 100.445 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 100.445 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 100.445 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.445 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.445 * [taylor]: Taking taylor expansion of -1/2 in J 100.445 * [backup-simplify]: Simplify -1/2 into -1/2 100.445 * [taylor]: Taking taylor expansion of K in J 100.445 * [backup-simplify]: Simplify K into K 100.445 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.445 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.445 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.445 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.446 * [backup-simplify]: Simplify (- 0) into 0 100.446 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.446 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.446 * [taylor]: Taking taylor expansion of U in J 100.446 * [backup-simplify]: Simplify U into U 100.446 * [backup-simplify]: Simplify (* 1 1) into 1 100.446 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.447 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.447 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.447 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 100.447 * [backup-simplify]: Simplify (+ 1 0) into 1 100.448 * [backup-simplify]: Simplify (sqrt 1) into 1 100.448 * [backup-simplify]: Simplify (+ 0 0) into 0 100.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.449 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 100.449 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 100.449 * [taylor]: Taking taylor expansion of 1 in K 100.449 * [backup-simplify]: Simplify 1 into 1 100.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 100.449 * [taylor]: Taking taylor expansion of 1/4 in K 100.449 * [backup-simplify]: Simplify 1/4 into 1/4 100.449 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 100.449 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.449 * [taylor]: Taking taylor expansion of J in K 100.449 * [backup-simplify]: Simplify J into J 100.449 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 100.449 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 100.449 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.449 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.449 * [taylor]: Taking taylor expansion of -1/2 in K 100.449 * [backup-simplify]: Simplify -1/2 into -1/2 100.449 * [taylor]: Taking taylor expansion of K in K 100.449 * [backup-simplify]: Simplify 0 into 0 100.449 * [backup-simplify]: Simplify 1 into 1 100.450 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.450 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.450 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.450 * [taylor]: Taking taylor expansion of U in K 100.450 * [backup-simplify]: Simplify U into U 100.450 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.450 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.450 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.450 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.451 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 100.451 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 100.451 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 100.452 * [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)))))) 100.452 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.452 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.452 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 100.453 * [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 0 100.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 100.459 * [backup-simplify]: Simplify (+ 0 0) into 0 100.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 100.459 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.459 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.459 * [taylor]: Taking taylor expansion of 1 in U 100.459 * [backup-simplify]: Simplify 1 into 1 100.459 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.459 * [taylor]: Taking taylor expansion of 1/4 in U 100.459 * [backup-simplify]: Simplify 1/4 into 1/4 100.459 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.459 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.459 * [taylor]: Taking taylor expansion of J in U 100.460 * [backup-simplify]: Simplify J into J 100.460 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.460 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.460 * [taylor]: Taking taylor expansion of -1/2 in U 100.460 * [backup-simplify]: Simplify -1/2 into -1/2 100.460 * [taylor]: Taking taylor expansion of K in U 100.460 * [backup-simplify]: Simplify K into K 100.460 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.460 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.460 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.460 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.461 * [backup-simplify]: Simplify (- 0) into 0 100.461 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.461 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.461 * [taylor]: Taking taylor expansion of U in U 100.461 * [backup-simplify]: Simplify 0 into 0 100.461 * [backup-simplify]: Simplify 1 into 1 100.461 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.461 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.461 * [backup-simplify]: Simplify (* 1 1) into 1 100.462 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.462 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.462 * [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))) 100.462 * [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))) 100.462 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.463 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.464 * [backup-simplify]: Simplify (+ 0) into 0 100.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.466 * [backup-simplify]: Simplify (- 0) into 0 100.466 * [backup-simplify]: Simplify (+ 0 0) into 0 100.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.467 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.467 * [backup-simplify]: 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 0 100.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.468 * [backup-simplify]: Simplify (+ 0 0) into 0 100.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.469 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.469 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.469 * [taylor]: Taking taylor expansion of 1 in U 100.469 * [backup-simplify]: Simplify 1 into 1 100.469 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.469 * [taylor]: Taking taylor expansion of 1/4 in U 100.469 * [backup-simplify]: Simplify 1/4 into 1/4 100.469 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.469 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.469 * [taylor]: Taking taylor expansion of J in U 100.469 * [backup-simplify]: Simplify J into J 100.469 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.469 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.469 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.469 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.469 * [taylor]: Taking taylor expansion of -1/2 in U 100.469 * [backup-simplify]: Simplify -1/2 into -1/2 100.469 * [taylor]: Taking taylor expansion of K in U 100.469 * [backup-simplify]: Simplify K into K 100.469 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.469 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.469 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.470 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.470 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.470 * [backup-simplify]: Simplify (- 0) into 0 100.470 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.470 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.470 * [taylor]: Taking taylor expansion of U in U 100.470 * [backup-simplify]: Simplify 0 into 0 100.470 * [backup-simplify]: Simplify 1 into 1 100.470 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.470 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.471 * [backup-simplify]: Simplify (* 1 1) into 1 100.471 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.471 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.471 * [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))) 100.472 * [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))) 100.472 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.472 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.473 * [backup-simplify]: Simplify (+ 0) into 0 100.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.475 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.475 * [backup-simplify]: Simplify (- 0) into 0 100.476 * [backup-simplify]: Simplify (+ 0 0) into 0 100.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.476 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.477 * [backup-simplify]: 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 0 100.477 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.478 * [backup-simplify]: Simplify (+ 0 0) into 0 100.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 100.478 * [taylor]: Taking taylor expansion of 1/2 in K 100.478 * [backup-simplify]: Simplify 1/2 into 1/2 100.478 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 100.478 * [taylor]: Taking taylor expansion of J in K 100.478 * [backup-simplify]: Simplify J into J 100.478 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.478 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.479 * [taylor]: Taking taylor expansion of -1/2 in K 100.479 * [backup-simplify]: Simplify -1/2 into -1/2 100.479 * [taylor]: Taking taylor expansion of K in K 100.479 * [backup-simplify]: Simplify 0 into 0 100.479 * [backup-simplify]: Simplify 1 into 1 100.479 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.479 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.479 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 100.479 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 100.479 * [taylor]: Taking taylor expansion of 1/2 in J 100.479 * [backup-simplify]: Simplify 1/2 into 1/2 100.479 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 100.479 * [taylor]: Taking taylor expansion of J in J 100.480 * [backup-simplify]: Simplify 0 into 0 100.480 * [backup-simplify]: Simplify 1 into 1 100.480 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.480 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.480 * [taylor]: Taking taylor expansion of -1/2 in J 100.480 * [backup-simplify]: Simplify -1/2 into -1/2 100.480 * [taylor]: Taking taylor expansion of K in J 100.480 * [backup-simplify]: Simplify K into K 100.480 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.480 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.480 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.480 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.480 * [backup-simplify]: Simplify (- 0) into 0 100.481 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.481 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 100.481 * [taylor]: Taking taylor expansion of 0 in K 100.481 * [backup-simplify]: Simplify 0 into 0 100.481 * [taylor]: Taking taylor expansion of 0 in J 100.481 * [backup-simplify]: Simplify 0 into 0 100.481 * [backup-simplify]: Simplify 0 into 0 100.481 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 100.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 100.482 * [taylor]: Taking taylor expansion of 0 in J 100.482 * [backup-simplify]: Simplify 0 into 0 100.482 * [backup-simplify]: Simplify 0 into 0 100.482 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 100.482 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 100.482 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.484 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.485 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.486 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.487 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.487 * [backup-simplify]: Simplify (- 0) into 0 100.488 * [backup-simplify]: Simplify (+ 0 0) into 0 100.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 100.489 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 100.489 * [backup-simplify]: 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 0 100.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 100.491 * [backup-simplify]: Simplify (+ 1 0) into 1 100.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 100.492 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 100.492 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.492 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.492 * [taylor]: Taking taylor expansion of -1/2 in K 100.492 * [backup-simplify]: Simplify -1/2 into -1/2 100.492 * [taylor]: Taking taylor expansion of K in K 100.492 * [backup-simplify]: Simplify 0 into 0 100.492 * [backup-simplify]: Simplify 1 into 1 100.492 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.493 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.493 * [taylor]: Taking taylor expansion of J in K 100.493 * [backup-simplify]: Simplify J into J 100.493 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 100.493 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 100.493 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.493 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.493 * [taylor]: Taking taylor expansion of -1/2 in J 100.493 * [backup-simplify]: Simplify -1/2 into -1/2 100.493 * [taylor]: Taking taylor expansion of K in J 100.493 * [backup-simplify]: Simplify K into K 100.493 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.493 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.493 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.493 * [taylor]: Taking taylor expansion of J in J 100.493 * [backup-simplify]: Simplify 0 into 0 100.493 * [backup-simplify]: Simplify 1 into 1 100.493 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.493 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.494 * [backup-simplify]: Simplify (- 0) into 0 100.494 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.494 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.495 * [backup-simplify]: Simplify (+ 0) into 0 100.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.497 * [backup-simplify]: Simplify (- 0) into 0 100.497 * [backup-simplify]: Simplify (+ 0 0) into 0 100.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 100.498 * [backup-simplify]: Simplify 0 into 0 100.498 * [taylor]: Taking taylor expansion of 0 in J 100.499 * [backup-simplify]: Simplify 0 into 0 100.499 * [backup-simplify]: Simplify 0 into 0 100.499 * [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 0 100.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 100.500 * [taylor]: Taking taylor expansion of 0 in J 100.500 * [backup-simplify]: Simplify 0 into 0 100.500 * [backup-simplify]: Simplify 0 into 0 100.500 * [backup-simplify]: Simplify 0 into 0 100.500 * [backup-simplify]: Simplify 0 into 0 100.500 * [backup-simplify]: Simplify (+ 0) into 0 100.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.503 * [backup-simplify]: Simplify (- 0) into 0 100.503 * [backup-simplify]: Simplify (+ 0 0) into 0 100.503 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 100.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 100.504 * [backup-simplify]: Simplify 0 into 0 100.504 * [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))) 100.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 1) 100.505 * [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)) 100.505 * [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 0 100.505 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 100.505 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 100.505 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 100.505 * [taylor]: Taking taylor expansion of 1/4 in J 100.505 * [backup-simplify]: Simplify 1/4 into 1/4 100.505 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 100.505 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.505 * [taylor]: Taking taylor expansion of U in J 100.505 * [backup-simplify]: Simplify U into U 100.505 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 100.505 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 100.505 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 100.505 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 100.505 * [taylor]: Taking taylor expansion of 1/2 in J 100.505 * [backup-simplify]: Simplify 1/2 into 1/2 100.505 * [taylor]: Taking taylor expansion of K in J 100.505 * [backup-simplify]: Simplify K into K 100.505 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.505 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.505 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.505 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.505 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.506 * [backup-simplify]: Simplify (- 0) into 0 100.506 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.506 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.506 * [taylor]: Taking taylor expansion of J in J 100.506 * [backup-simplify]: Simplify 0 into 0 100.506 * [backup-simplify]: Simplify 1 into 1 100.506 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.506 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.507 * [backup-simplify]: Simplify (* 1 1) into 1 100.507 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 100.507 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 100.507 * [taylor]: Taking taylor expansion of 1 in J 100.507 * [backup-simplify]: Simplify 1 into 1 100.507 * [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))) 100.508 * [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))) 100.508 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 100.508 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.509 * [backup-simplify]: Simplify (+ 0) into 0 100.509 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.511 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.511 * [backup-simplify]: Simplify (- 0) into 0 100.512 * [backup-simplify]: Simplify (+ 0 0) into 0 100.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.513 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 100.513 * [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 0 100.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 100.514 * [backup-simplify]: Simplify (+ 0 0) into 0 100.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 100.514 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 100.514 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 100.514 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 100.514 * [taylor]: Taking taylor expansion of 1/4 in K 100.514 * [backup-simplify]: Simplify 1/4 into 1/4 100.514 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 100.514 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.514 * [taylor]: Taking taylor expansion of U in K 100.515 * [backup-simplify]: Simplify U into U 100.515 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 100.515 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 100.515 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.515 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.515 * [taylor]: Taking taylor expansion of 1/2 in K 100.515 * [backup-simplify]: Simplify 1/2 into 1/2 100.515 * [taylor]: Taking taylor expansion of K in K 100.515 * [backup-simplify]: Simplify 0 into 0 100.515 * [backup-simplify]: Simplify 1 into 1 100.515 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.516 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.516 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.516 * [taylor]: Taking taylor expansion of J in K 100.516 * [backup-simplify]: Simplify J into J 100.516 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.516 * [backup-simplify]: Simplify (* 1 1) into 1 100.517 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.517 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 100.517 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 100.517 * [taylor]: Taking taylor expansion of 1 in K 100.517 * [backup-simplify]: Simplify 1 into 1 100.517 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 100.517 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 100.517 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 100.518 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.518 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.518 * [backup-simplify]: Simplify (+ 0) into 0 100.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 100.519 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 100.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 100.520 * [backup-simplify]: Simplify (+ 0 0) into 0 100.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 100.521 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.521 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.521 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.521 * [taylor]: Taking taylor expansion of 1/4 in U 100.521 * [backup-simplify]: Simplify 1/4 into 1/4 100.521 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.521 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.521 * [taylor]: Taking taylor expansion of U in U 100.521 * [backup-simplify]: Simplify 0 into 0 100.521 * [backup-simplify]: Simplify 1 into 1 100.521 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.521 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.521 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.521 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.521 * [taylor]: Taking taylor expansion of 1/2 in U 100.521 * [backup-simplify]: Simplify 1/2 into 1/2 100.521 * [taylor]: Taking taylor expansion of K in U 100.521 * [backup-simplify]: Simplify K into K 100.521 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.521 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.521 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.521 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.522 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.522 * [backup-simplify]: Simplify (- 0) into 0 100.522 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.522 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.522 * [taylor]: Taking taylor expansion of J in U 100.522 * [backup-simplify]: Simplify J into J 100.522 * [backup-simplify]: Simplify (* 1 1) into 1 100.523 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.523 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.523 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.523 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.523 * [taylor]: Taking taylor expansion of 1 in U 100.523 * [backup-simplify]: Simplify 1 into 1 100.524 * [backup-simplify]: Simplify (+ 0 1) into 1 100.524 * [backup-simplify]: Simplify (sqrt 1) into 1 100.524 * [backup-simplify]: Simplify (+ 0 0) into 0 100.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.525 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.525 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.525 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.525 * [taylor]: Taking taylor expansion of 1/4 in U 100.525 * [backup-simplify]: Simplify 1/4 into 1/4 100.525 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.525 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.525 * [taylor]: Taking taylor expansion of U in U 100.525 * [backup-simplify]: Simplify 0 into 0 100.525 * [backup-simplify]: Simplify 1 into 1 100.525 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.525 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.525 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.525 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.525 * [taylor]: Taking taylor expansion of 1/2 in U 100.525 * [backup-simplify]: Simplify 1/2 into 1/2 100.525 * [taylor]: Taking taylor expansion of K in U 100.525 * [backup-simplify]: Simplify K into K 100.526 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.526 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.526 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.526 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.526 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.526 * [backup-simplify]: Simplify (- 0) into 0 100.526 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.526 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.526 * [taylor]: Taking taylor expansion of J in U 100.526 * [backup-simplify]: Simplify J into J 100.527 * [backup-simplify]: Simplify (* 1 1) into 1 100.527 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.527 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.527 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.527 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.527 * [taylor]: Taking taylor expansion of 1 in U 100.527 * [backup-simplify]: Simplify 1 into 1 100.528 * [backup-simplify]: Simplify (+ 0 1) into 1 100.528 * [backup-simplify]: Simplify (sqrt 1) into 1 100.528 * [backup-simplify]: Simplify (+ 0 0) into 0 100.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.529 * [taylor]: Taking taylor expansion of 1 in K 100.529 * [backup-simplify]: Simplify 1 into 1 100.529 * [taylor]: Taking taylor expansion of 1 in J 100.529 * [backup-simplify]: Simplify 1 into 1 100.529 * [taylor]: Taking taylor expansion of 0 in K 100.529 * [backup-simplify]: Simplify 0 into 0 100.529 * [taylor]: Taking taylor expansion of 0 in J 100.529 * [backup-simplify]: Simplify 0 into 0 100.529 * [taylor]: Taking taylor expansion of 0 in J 100.529 * [backup-simplify]: Simplify 0 into 0 100.529 * [backup-simplify]: Simplify 1 into 1 100.529 * [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))) 100.529 * [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)))) 100.530 * [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))) 100.530 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 100.530 * [taylor]: Taking taylor expansion of 1/8 in K 100.530 * [backup-simplify]: Simplify 1/8 into 1/8 100.530 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 100.530 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 100.530 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.530 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.530 * [taylor]: Taking taylor expansion of 1/2 in K 100.530 * [backup-simplify]: Simplify 1/2 into 1/2 100.530 * [taylor]: Taking taylor expansion of K in K 100.530 * [backup-simplify]: Simplify 0 into 0 100.530 * [backup-simplify]: Simplify 1 into 1 100.531 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.531 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.531 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.531 * [taylor]: Taking taylor expansion of J in K 100.531 * [backup-simplify]: Simplify J into J 100.531 * [backup-simplify]: Simplify (* 1 1) into 1 100.531 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.531 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 100.531 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 100.531 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 100.531 * [taylor]: Taking taylor expansion of 1/8 in J 100.531 * [backup-simplify]: Simplify 1/8 into 1/8 100.532 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.532 * [taylor]: Taking taylor expansion of J in J 100.532 * [backup-simplify]: Simplify 0 into 0 100.532 * [backup-simplify]: Simplify 1 into 1 100.532 * [backup-simplify]: Simplify (* 1 1) into 1 100.532 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 100.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 100.533 * [backup-simplify]: Simplify 0 into 0 100.533 * [taylor]: Taking taylor expansion of 0 in J 100.533 * [backup-simplify]: Simplify 0 into 0 100.533 * [taylor]: Taking taylor expansion of 0 in J 100.533 * [backup-simplify]: Simplify 0 into 0 100.533 * [backup-simplify]: Simplify 0 into 0 100.533 * [backup-simplify]: Simplify 0 into 0 100.533 * [backup-simplify]: Simplify 0 into 0 100.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.534 * [backup-simplify]: Simplify (+ 0) into 0 100.534 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.535 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.535 * [backup-simplify]: Simplify (- 0) into 0 100.536 * [backup-simplify]: Simplify (+ 0 0) into 0 100.536 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.536 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 100.536 * [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 0 100.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 100.537 * [backup-simplify]: Simplify (+ 0 0) into 0 100.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 100.537 * [taylor]: Taking taylor expansion of 0 in K 100.537 * [backup-simplify]: Simplify 0 into 0 100.537 * [taylor]: Taking taylor expansion of 0 in J 100.537 * [backup-simplify]: Simplify 0 into 0 100.537 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.538 * [backup-simplify]: Simplify (+ 0) into 0 100.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 100.538 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 100.538 * [taylor]: Taking taylor expansion of 0 in J 100.538 * [backup-simplify]: Simplify 0 into 0 100.539 * [taylor]: Taking taylor expansion of 0 in J 100.539 * [backup-simplify]: Simplify 0 into 0 100.539 * [taylor]: Taking taylor expansion of 0 in J 100.539 * [backup-simplify]: Simplify 0 into 0 100.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.540 * [backup-simplify]: Simplify 0 into 0 100.540 * [backup-simplify]: Simplify 0 into 0 100.540 * [backup-simplify]: Simplify 1 into 1 100.540 * [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)) 100.540 * [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 0 100.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 100.540 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 100.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 100.540 * [taylor]: Taking taylor expansion of 1/4 in J 100.540 * [backup-simplify]: Simplify 1/4 into 1/4 100.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 100.540 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.540 * [taylor]: Taking taylor expansion of J in J 100.540 * [backup-simplify]: Simplify 0 into 0 100.540 * [backup-simplify]: Simplify 1 into 1 100.540 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 100.540 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.540 * [taylor]: Taking taylor expansion of U in J 100.540 * [backup-simplify]: Simplify U into U 100.540 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 100.540 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.540 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.540 * [taylor]: Taking taylor expansion of 1/2 in J 100.540 * [backup-simplify]: Simplify 1/2 into 1/2 100.540 * [taylor]: Taking taylor expansion of K in J 100.540 * [backup-simplify]: Simplify K into K 100.541 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.541 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.541 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.541 * [backup-simplify]: Simplify (- 0) into 0 100.541 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.541 * [backup-simplify]: Simplify (* 1 1) into 1 100.541 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.541 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.542 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 100.542 * [taylor]: Taking taylor expansion of 1 in J 100.542 * [backup-simplify]: Simplify 1 into 1 100.542 * [backup-simplify]: Simplify (+ 0 1) into 1 100.542 * [backup-simplify]: Simplify (sqrt 1) into 1 100.542 * [backup-simplify]: Simplify (+ 0 0) into 0 100.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.543 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 100.543 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 100.543 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 100.543 * [taylor]: Taking taylor expansion of 1/4 in K 100.543 * [backup-simplify]: Simplify 1/4 into 1/4 100.543 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 100.543 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.543 * [taylor]: Taking taylor expansion of J in K 100.543 * [backup-simplify]: Simplify J into J 100.543 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 100.543 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.543 * [taylor]: Taking taylor expansion of U in K 100.543 * [backup-simplify]: Simplify U into U 100.543 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 100.543 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.543 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.543 * [taylor]: Taking taylor expansion of 1/2 in K 100.543 * [backup-simplify]: Simplify 1/2 into 1/2 100.543 * [taylor]: Taking taylor expansion of K in K 100.543 * [backup-simplify]: Simplify 0 into 0 100.543 * [backup-simplify]: Simplify 1 into 1 100.543 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.543 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.544 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.544 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.544 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.544 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.544 * [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))) 100.544 * [taylor]: Taking taylor expansion of 1 in K 100.544 * [backup-simplify]: Simplify 1 into 1 100.544 * [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)))) 100.544 * [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) 100.545 * [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)) 100.545 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.545 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.545 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.545 * [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 0 100.546 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.546 * [backup-simplify]: Simplify (+ 0 0) into 0 100.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 100.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.546 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.546 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.546 * [taylor]: Taking taylor expansion of 1/4 in U 100.546 * [backup-simplify]: Simplify 1/4 into 1/4 100.546 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.546 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.546 * [taylor]: Taking taylor expansion of J in U 100.546 * [backup-simplify]: Simplify J into J 100.546 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.546 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.546 * [taylor]: Taking taylor expansion of U in U 100.546 * [backup-simplify]: Simplify 0 into 0 100.546 * [backup-simplify]: Simplify 1 into 1 100.546 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.546 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.546 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.546 * [taylor]: Taking taylor expansion of 1/2 in U 100.546 * [backup-simplify]: Simplify 1/2 into 1/2 100.547 * [taylor]: Taking taylor expansion of K in U 100.547 * [backup-simplify]: Simplify K into K 100.547 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.547 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.547 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.547 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.547 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.547 * [backup-simplify]: Simplify (- 0) into 0 100.547 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.547 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.547 * [backup-simplify]: Simplify (* 1 1) into 1 100.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.548 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.548 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.548 * [taylor]: Taking taylor expansion of 1 in U 100.548 * [backup-simplify]: Simplify 1 into 1 100.548 * [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))) 100.548 * [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))) 100.548 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.548 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.549 * [backup-simplify]: Simplify (+ 0) into 0 100.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.550 * [backup-simplify]: Simplify (- 0) into 0 100.550 * [backup-simplify]: Simplify (+ 0 0) into 0 100.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.551 * [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 0 100.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.552 * [backup-simplify]: Simplify (+ 0 0) into 0 100.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.552 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.552 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.552 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.552 * [taylor]: Taking taylor expansion of 1/4 in U 100.552 * [backup-simplify]: Simplify 1/4 into 1/4 100.552 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.552 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.552 * [taylor]: Taking taylor expansion of J in U 100.552 * [backup-simplify]: Simplify J into J 100.552 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.552 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.552 * [taylor]: Taking taylor expansion of U in U 100.552 * [backup-simplify]: Simplify 0 into 0 100.552 * [backup-simplify]: Simplify 1 into 1 100.552 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.552 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.552 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.552 * [taylor]: Taking taylor expansion of 1/2 in U 100.552 * [backup-simplify]: Simplify 1/2 into 1/2 100.552 * [taylor]: Taking taylor expansion of K in U 100.552 * [backup-simplify]: Simplify K into K 100.553 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.553 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.553 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.553 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.553 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.553 * [backup-simplify]: Simplify (- 0) into 0 100.553 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.553 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.553 * [backup-simplify]: Simplify (* 1 1) into 1 100.553 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.553 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.554 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.554 * [taylor]: Taking taylor expansion of 1 in U 100.554 * [backup-simplify]: Simplify 1 into 1 100.554 * [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))) 100.554 * [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))) 100.554 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.554 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.555 * [backup-simplify]: Simplify (+ 0) into 0 100.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.556 * [backup-simplify]: Simplify (- 0) into 0 100.557 * [backup-simplify]: Simplify (+ 0 0) into 0 100.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.558 * [backup-simplify]: 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 0 100.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.559 * [backup-simplify]: Simplify (+ 0 0) into 0 100.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 100.560 * [taylor]: Taking taylor expansion of 1/2 in K 100.560 * [backup-simplify]: Simplify 1/2 into 1/2 100.560 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 100.560 * [taylor]: Taking taylor expansion of J in K 100.560 * [backup-simplify]: Simplify J into J 100.560 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.560 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.560 * [taylor]: Taking taylor expansion of 1/2 in K 100.560 * [backup-simplify]: Simplify 1/2 into 1/2 100.560 * [taylor]: Taking taylor expansion of K in K 100.560 * [backup-simplify]: Simplify 0 into 0 100.560 * [backup-simplify]: Simplify 1 into 1 100.560 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.561 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 100.561 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 100.561 * [taylor]: Taking taylor expansion of 1/2 in J 100.561 * [backup-simplify]: Simplify 1/2 into 1/2 100.561 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 100.561 * [taylor]: Taking taylor expansion of J in J 100.561 * [backup-simplify]: Simplify 0 into 0 100.561 * [backup-simplify]: Simplify 1 into 1 100.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.561 * [taylor]: Taking taylor expansion of 1/2 in J 100.561 * [backup-simplify]: Simplify 1/2 into 1/2 100.561 * [taylor]: Taking taylor expansion of K in J 100.561 * [backup-simplify]: Simplify K into K 100.561 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.561 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.562 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.562 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.562 * [backup-simplify]: Simplify (- 0) into 0 100.562 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.562 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 100.562 * [taylor]: Taking taylor expansion of 0 in K 100.562 * [backup-simplify]: Simplify 0 into 0 100.562 * [taylor]: Taking taylor expansion of 0 in J 100.562 * [backup-simplify]: Simplify 0 into 0 100.563 * [backup-simplify]: Simplify 0 into 0 100.563 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 100.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 100.563 * [taylor]: Taking taylor expansion of 0 in J 100.563 * [backup-simplify]: Simplify 0 into 0 100.564 * [backup-simplify]: Simplify 0 into 0 100.564 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 100.564 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 100.565 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.568 * [backup-simplify]: Simplify (- 0) into 0 100.569 * [backup-simplify]: Simplify (+ 0 0) into 0 100.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 100.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 100.572 * [backup-simplify]: 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 0 100.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.573 * [backup-simplify]: Simplify (+ 0 1) into 1 100.574 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 100.574 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 100.574 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.574 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.574 * [taylor]: Taking taylor expansion of 1/2 in K 100.574 * [backup-simplify]: Simplify 1/2 into 1/2 100.574 * [taylor]: Taking taylor expansion of K in K 100.574 * [backup-simplify]: Simplify 0 into 0 100.574 * [backup-simplify]: Simplify 1 into 1 100.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.575 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.575 * [taylor]: Taking taylor expansion of J in K 100.575 * [backup-simplify]: Simplify J into J 100.575 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 100.575 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 100.575 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.575 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.575 * [taylor]: Taking taylor expansion of 1/2 in J 100.575 * [backup-simplify]: Simplify 1/2 into 1/2 100.575 * [taylor]: Taking taylor expansion of K in J 100.575 * [backup-simplify]: Simplify K into K 100.575 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.575 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.575 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.575 * [taylor]: Taking taylor expansion of J in J 100.575 * [backup-simplify]: Simplify 0 into 0 100.575 * [backup-simplify]: Simplify 1 into 1 100.575 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.575 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.576 * [backup-simplify]: Simplify (- 0) into 0 100.576 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.576 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.576 * [backup-simplify]: Simplify (+ 0) into 0 100.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.579 * [backup-simplify]: Simplify (- 0) into 0 100.579 * [backup-simplify]: Simplify (+ 0 0) into 0 100.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 100.580 * [backup-simplify]: Simplify 0 into 0 100.580 * [taylor]: Taking taylor expansion of 0 in J 100.580 * [backup-simplify]: Simplify 0 into 0 100.580 * [backup-simplify]: Simplify 0 into 0 100.580 * [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 0 100.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 100.581 * [taylor]: Taking taylor expansion of 0 in J 100.581 * [backup-simplify]: Simplify 0 into 0 100.581 * [backup-simplify]: Simplify 0 into 0 100.581 * [backup-simplify]: Simplify 0 into 0 100.581 * [backup-simplify]: Simplify 0 into 0 100.582 * [backup-simplify]: Simplify (+ 0) into 0 100.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.584 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.584 * [backup-simplify]: Simplify (- 0) into 0 100.585 * [backup-simplify]: Simplify (+ 0 0) into 0 100.585 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 100.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 100.585 * [backup-simplify]: Simplify 0 into 0 100.586 * [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))) 100.586 * [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)))))) 100.586 * [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 0 100.587 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 100.587 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 100.587 * [taylor]: Taking taylor expansion of 1 in J 100.587 * [backup-simplify]: Simplify 1 into 1 100.587 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 100.587 * [taylor]: Taking taylor expansion of 1/4 in J 100.587 * [backup-simplify]: Simplify 1/4 into 1/4 100.587 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 100.587 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.587 * [taylor]: Taking taylor expansion of J in J 100.587 * [backup-simplify]: Simplify 0 into 0 100.587 * [backup-simplify]: Simplify 1 into 1 100.587 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 100.587 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 100.587 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.587 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.587 * [taylor]: Taking taylor expansion of -1/2 in J 100.587 * [backup-simplify]: Simplify -1/2 into -1/2 100.587 * [taylor]: Taking taylor expansion of K in J 100.587 * [backup-simplify]: Simplify K into K 100.587 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.587 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.587 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.587 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.588 * [backup-simplify]: Simplify (- 0) into 0 100.588 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.588 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.588 * [taylor]: Taking taylor expansion of U in J 100.588 * [backup-simplify]: Simplify U into U 100.589 * [backup-simplify]: Simplify (* 1 1) into 1 100.589 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.589 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.589 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.589 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 100.590 * [backup-simplify]: Simplify (+ 1 0) into 1 100.590 * [backup-simplify]: Simplify (sqrt 1) into 1 100.590 * [backup-simplify]: Simplify (+ 0 0) into 0 100.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.591 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 100.591 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 100.591 * [taylor]: Taking taylor expansion of 1 in K 100.591 * [backup-simplify]: Simplify 1 into 1 100.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 100.591 * [taylor]: Taking taylor expansion of 1/4 in K 100.591 * [backup-simplify]: Simplify 1/4 into 1/4 100.591 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 100.591 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.591 * [taylor]: Taking taylor expansion of J in K 100.591 * [backup-simplify]: Simplify J into J 100.591 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 100.592 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 100.592 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.592 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.592 * [taylor]: Taking taylor expansion of -1/2 in K 100.592 * [backup-simplify]: Simplify -1/2 into -1/2 100.592 * [taylor]: Taking taylor expansion of K in K 100.592 * [backup-simplify]: Simplify 0 into 0 100.592 * [backup-simplify]: Simplify 1 into 1 100.592 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.592 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.592 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.592 * [taylor]: Taking taylor expansion of U in K 100.592 * [backup-simplify]: Simplify U into U 100.592 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.593 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.593 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.593 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.593 * [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))) 100.593 * [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)))) 100.594 * [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))))) 100.594 * [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)))))) 100.594 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.594 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.595 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 100.595 * [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 0 100.600 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 100.601 * [backup-simplify]: Simplify (+ 0 0) into 0 100.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 100.601 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.601 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.601 * [taylor]: Taking taylor expansion of 1 in U 100.601 * [backup-simplify]: Simplify 1 into 1 100.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.601 * [taylor]: Taking taylor expansion of 1/4 in U 100.601 * [backup-simplify]: Simplify 1/4 into 1/4 100.601 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.601 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.601 * [taylor]: Taking taylor expansion of J in U 100.601 * [backup-simplify]: Simplify J into J 100.601 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.601 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.601 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.601 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.601 * [taylor]: Taking taylor expansion of -1/2 in U 100.601 * [backup-simplify]: Simplify -1/2 into -1/2 100.601 * [taylor]: Taking taylor expansion of K in U 100.601 * [backup-simplify]: Simplify K into K 100.601 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.601 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.602 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.602 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.602 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.602 * [backup-simplify]: Simplify (- 0) into 0 100.602 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.602 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.602 * [taylor]: Taking taylor expansion of U in U 100.602 * [backup-simplify]: Simplify 0 into 0 100.602 * [backup-simplify]: Simplify 1 into 1 100.602 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.602 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.602 * [backup-simplify]: Simplify (* 1 1) into 1 100.603 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.603 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.603 * [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))) 100.603 * [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))) 100.603 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.603 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.604 * [backup-simplify]: Simplify (+ 0) into 0 100.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.605 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.606 * [backup-simplify]: Simplify (- 0) into 0 100.606 * [backup-simplify]: Simplify (+ 0 0) into 0 100.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.606 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.607 * [backup-simplify]: 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 0 100.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.607 * [backup-simplify]: Simplify (+ 0 0) into 0 100.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.607 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.607 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.608 * [taylor]: Taking taylor expansion of 1 in U 100.608 * [backup-simplify]: Simplify 1 into 1 100.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.608 * [taylor]: Taking taylor expansion of 1/4 in U 100.608 * [backup-simplify]: Simplify 1/4 into 1/4 100.608 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.608 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.608 * [taylor]: Taking taylor expansion of J in U 100.608 * [backup-simplify]: Simplify J into J 100.608 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.608 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.608 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.608 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.608 * [taylor]: Taking taylor expansion of -1/2 in U 100.608 * [backup-simplify]: Simplify -1/2 into -1/2 100.608 * [taylor]: Taking taylor expansion of K in U 100.608 * [backup-simplify]: Simplify K into K 100.608 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.608 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.608 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.608 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.608 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.608 * [backup-simplify]: Simplify (- 0) into 0 100.608 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.608 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.608 * [taylor]: Taking taylor expansion of U in U 100.608 * [backup-simplify]: Simplify 0 into 0 100.608 * [backup-simplify]: Simplify 1 into 1 100.608 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.609 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.609 * [backup-simplify]: Simplify (* 1 1) into 1 100.609 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.609 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.609 * [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))) 100.609 * [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))) 100.609 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.609 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.610 * [backup-simplify]: Simplify (+ 0) into 0 100.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.612 * [backup-simplify]: Simplify (- 0) into 0 100.612 * [backup-simplify]: Simplify (+ 0 0) into 0 100.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.612 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.612 * [backup-simplify]: 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 0 100.613 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.613 * [backup-simplify]: Simplify (+ 0 0) into 0 100.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 100.613 * [taylor]: Taking taylor expansion of 1/2 in K 100.613 * [backup-simplify]: Simplify 1/2 into 1/2 100.613 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 100.613 * [taylor]: Taking taylor expansion of J in K 100.613 * [backup-simplify]: Simplify J into J 100.613 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.613 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.614 * [taylor]: Taking taylor expansion of -1/2 in K 100.614 * [backup-simplify]: Simplify -1/2 into -1/2 100.614 * [taylor]: Taking taylor expansion of K in K 100.614 * [backup-simplify]: Simplify 0 into 0 100.614 * [backup-simplify]: Simplify 1 into 1 100.614 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.614 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.614 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 100.614 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 100.614 * [taylor]: Taking taylor expansion of 1/2 in J 100.614 * [backup-simplify]: Simplify 1/2 into 1/2 100.614 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 100.614 * [taylor]: Taking taylor expansion of J in J 100.614 * [backup-simplify]: Simplify 0 into 0 100.614 * [backup-simplify]: Simplify 1 into 1 100.614 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.614 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.614 * [taylor]: Taking taylor expansion of -1/2 in J 100.614 * [backup-simplify]: Simplify -1/2 into -1/2 100.614 * [taylor]: Taking taylor expansion of K in J 100.614 * [backup-simplify]: Simplify K into K 100.614 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.614 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.614 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.614 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.614 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.615 * [backup-simplify]: Simplify (- 0) into 0 100.615 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.615 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 100.615 * [taylor]: Taking taylor expansion of 0 in K 100.615 * [backup-simplify]: Simplify 0 into 0 100.615 * [taylor]: Taking taylor expansion of 0 in J 100.615 * [backup-simplify]: Simplify 0 into 0 100.615 * [backup-simplify]: Simplify 0 into 0 100.615 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 100.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 100.616 * [taylor]: Taking taylor expansion of 0 in J 100.616 * [backup-simplify]: Simplify 0 into 0 100.616 * [backup-simplify]: Simplify 0 into 0 100.616 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 100.616 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 100.617 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.618 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.619 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.620 * [backup-simplify]: Simplify (- 0) into 0 100.620 * [backup-simplify]: Simplify (+ 0 0) into 0 100.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 100.621 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 100.622 * [backup-simplify]: 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 0 100.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 100.623 * [backup-simplify]: Simplify (+ 1 0) into 1 100.624 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 100.624 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 100.624 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.624 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.624 * [taylor]: Taking taylor expansion of -1/2 in K 100.624 * [backup-simplify]: Simplify -1/2 into -1/2 100.624 * [taylor]: Taking taylor expansion of K in K 100.624 * [backup-simplify]: Simplify 0 into 0 100.624 * [backup-simplify]: Simplify 1 into 1 100.625 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.625 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.625 * [taylor]: Taking taylor expansion of J in K 100.625 * [backup-simplify]: Simplify J into J 100.625 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 100.625 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 100.625 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.625 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.625 * [taylor]: Taking taylor expansion of -1/2 in J 100.625 * [backup-simplify]: Simplify -1/2 into -1/2 100.625 * [taylor]: Taking taylor expansion of K in J 100.625 * [backup-simplify]: Simplify K into K 100.625 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.625 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.626 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.626 * [taylor]: Taking taylor expansion of J in J 100.626 * [backup-simplify]: Simplify 0 into 0 100.626 * [backup-simplify]: Simplify 1 into 1 100.626 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.626 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.626 * [backup-simplify]: Simplify (- 0) into 0 100.626 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.626 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.627 * [backup-simplify]: Simplify (+ 0) into 0 100.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.629 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.629 * [backup-simplify]: Simplify (- 0) into 0 100.629 * [backup-simplify]: Simplify (+ 0 0) into 0 100.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 100.630 * [backup-simplify]: Simplify 0 into 0 100.630 * [taylor]: Taking taylor expansion of 0 in J 100.630 * [backup-simplify]: Simplify 0 into 0 100.630 * [backup-simplify]: Simplify 0 into 0 100.631 * [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 0 100.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 100.632 * [taylor]: Taking taylor expansion of 0 in J 100.632 * [backup-simplify]: Simplify 0 into 0 100.632 * [backup-simplify]: Simplify 0 into 0 100.632 * [backup-simplify]: Simplify 0 into 0 100.632 * [backup-simplify]: Simplify 0 into 0 100.632 * [backup-simplify]: Simplify (+ 0) into 0 100.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.633 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.634 * [backup-simplify]: Simplify (- 0) into 0 100.635 * [backup-simplify]: Simplify (+ 0 0) into 0 100.635 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 100.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 100.636 * [backup-simplify]: Simplify 0 into 0 100.636 * [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))) 100.636 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 100.636 * [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)) 100.636 * [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 0 100.636 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 100.636 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 100.636 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 100.636 * [taylor]: Taking taylor expansion of 1/4 in J 100.636 * [backup-simplify]: Simplify 1/4 into 1/4 100.636 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 100.636 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.636 * [taylor]: Taking taylor expansion of U in J 100.636 * [backup-simplify]: Simplify U into U 100.636 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 100.636 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 100.636 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 100.636 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 100.636 * [taylor]: Taking taylor expansion of 1/2 in J 100.636 * [backup-simplify]: Simplify 1/2 into 1/2 100.636 * [taylor]: Taking taylor expansion of K in J 100.636 * [backup-simplify]: Simplify K into K 100.636 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.637 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.637 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.637 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.637 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.637 * [backup-simplify]: Simplify (- 0) into 0 100.637 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.637 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.637 * [taylor]: Taking taylor expansion of J in J 100.637 * [backup-simplify]: Simplify 0 into 0 100.637 * [backup-simplify]: Simplify 1 into 1 100.637 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.637 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.637 * [backup-simplify]: Simplify (* 1 1) into 1 100.638 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 100.638 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 100.638 * [taylor]: Taking taylor expansion of 1 in J 100.638 * [backup-simplify]: Simplify 1 into 1 100.638 * [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))) 100.638 * [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))) 100.638 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 100.638 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.639 * [backup-simplify]: Simplify (+ 0) into 0 100.639 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.640 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.640 * [backup-simplify]: Simplify (- 0) into 0 100.641 * [backup-simplify]: Simplify (+ 0 0) into 0 100.641 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.641 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 100.641 * [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 0 100.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 100.642 * [backup-simplify]: Simplify (+ 0 0) into 0 100.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 100.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 100.642 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 100.642 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 100.642 * [taylor]: Taking taylor expansion of 1/4 in K 100.642 * [backup-simplify]: Simplify 1/4 into 1/4 100.642 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 100.642 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.642 * [taylor]: Taking taylor expansion of U in K 100.642 * [backup-simplify]: Simplify U into U 100.642 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 100.642 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 100.642 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.642 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.642 * [taylor]: Taking taylor expansion of 1/2 in K 100.642 * [backup-simplify]: Simplify 1/2 into 1/2 100.642 * [taylor]: Taking taylor expansion of K in K 100.642 * [backup-simplify]: Simplify 0 into 0 100.642 * [backup-simplify]: Simplify 1 into 1 100.643 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.643 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.643 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.643 * [taylor]: Taking taylor expansion of J in K 100.643 * [backup-simplify]: Simplify J into J 100.643 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.643 * [backup-simplify]: Simplify (* 1 1) into 1 100.643 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.643 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 100.643 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 100.644 * [taylor]: Taking taylor expansion of 1 in K 100.644 * [backup-simplify]: Simplify 1 into 1 100.644 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 100.644 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 100.644 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 100.644 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.644 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.644 * [backup-simplify]: Simplify (+ 0) into 0 100.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 100.645 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 100.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 100.646 * [backup-simplify]: Simplify (+ 0 0) into 0 100.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 100.646 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.646 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.646 * [taylor]: Taking taylor expansion of 1/4 in U 100.646 * [backup-simplify]: Simplify 1/4 into 1/4 100.646 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.646 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.646 * [taylor]: Taking taylor expansion of U in U 100.646 * [backup-simplify]: Simplify 0 into 0 100.646 * [backup-simplify]: Simplify 1 into 1 100.646 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.646 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.646 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.646 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.646 * [taylor]: Taking taylor expansion of 1/2 in U 100.646 * [backup-simplify]: Simplify 1/2 into 1/2 100.646 * [taylor]: Taking taylor expansion of K in U 100.646 * [backup-simplify]: Simplify K into K 100.646 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.646 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.646 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.646 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.646 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.647 * [backup-simplify]: Simplify (- 0) into 0 100.647 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.647 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.647 * [taylor]: Taking taylor expansion of J in U 100.647 * [backup-simplify]: Simplify J into J 100.647 * [backup-simplify]: Simplify (* 1 1) into 1 100.647 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.647 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.647 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.647 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.647 * [taylor]: Taking taylor expansion of 1 in U 100.647 * [backup-simplify]: Simplify 1 into 1 100.648 * [backup-simplify]: Simplify (+ 0 1) into 1 100.648 * [backup-simplify]: Simplify (sqrt 1) into 1 100.648 * [backup-simplify]: Simplify (+ 0 0) into 0 100.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.649 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.649 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.649 * [taylor]: Taking taylor expansion of 1/4 in U 100.649 * [backup-simplify]: Simplify 1/4 into 1/4 100.649 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.649 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.649 * [taylor]: Taking taylor expansion of U in U 100.649 * [backup-simplify]: Simplify 0 into 0 100.650 * [backup-simplify]: Simplify 1 into 1 100.650 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.650 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.650 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.650 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.650 * [taylor]: Taking taylor expansion of 1/2 in U 100.650 * [backup-simplify]: Simplify 1/2 into 1/2 100.650 * [taylor]: Taking taylor expansion of K in U 100.650 * [backup-simplify]: Simplify K into K 100.650 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.650 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.650 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.650 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.650 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.651 * [backup-simplify]: Simplify (- 0) into 0 100.651 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.651 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.651 * [taylor]: Taking taylor expansion of J in U 100.651 * [backup-simplify]: Simplify J into J 100.651 * [backup-simplify]: Simplify (* 1 1) into 1 100.651 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.651 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.651 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.652 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.652 * [taylor]: Taking taylor expansion of 1 in U 100.652 * [backup-simplify]: Simplify 1 into 1 100.652 * [backup-simplify]: Simplify (+ 0 1) into 1 100.653 * [backup-simplify]: Simplify (sqrt 1) into 1 100.653 * [backup-simplify]: Simplify (+ 0 0) into 0 100.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.654 * [taylor]: Taking taylor expansion of 1 in K 100.654 * [backup-simplify]: Simplify 1 into 1 100.654 * [taylor]: Taking taylor expansion of 1 in J 100.654 * [backup-simplify]: Simplify 1 into 1 100.654 * [taylor]: Taking taylor expansion of 0 in K 100.654 * [backup-simplify]: Simplify 0 into 0 100.654 * [taylor]: Taking taylor expansion of 0 in J 100.654 * [backup-simplify]: Simplify 0 into 0 100.654 * [taylor]: Taking taylor expansion of 0 in J 100.654 * [backup-simplify]: Simplify 0 into 0 100.654 * [backup-simplify]: Simplify 1 into 1 100.654 * [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))) 100.655 * [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)))) 100.656 * [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))) 100.656 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 100.656 * [taylor]: Taking taylor expansion of 1/8 in K 100.656 * [backup-simplify]: Simplify 1/8 into 1/8 100.656 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 100.656 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 100.656 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.656 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.656 * [taylor]: Taking taylor expansion of 1/2 in K 100.656 * [backup-simplify]: Simplify 1/2 into 1/2 100.656 * [taylor]: Taking taylor expansion of K in K 100.656 * [backup-simplify]: Simplify 0 into 0 100.656 * [backup-simplify]: Simplify 1 into 1 100.657 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.658 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.658 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.658 * [taylor]: Taking taylor expansion of J in K 100.658 * [backup-simplify]: Simplify J into J 100.658 * [backup-simplify]: Simplify (* 1 1) into 1 100.658 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.658 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 100.658 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 100.658 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 100.658 * [taylor]: Taking taylor expansion of 1/8 in J 100.658 * [backup-simplify]: Simplify 1/8 into 1/8 100.658 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.658 * [taylor]: Taking taylor expansion of J in J 100.658 * [backup-simplify]: Simplify 0 into 0 100.659 * [backup-simplify]: Simplify 1 into 1 100.659 * [backup-simplify]: Simplify (* 1 1) into 1 100.659 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 100.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 100.661 * [backup-simplify]: Simplify 0 into 0 100.661 * [taylor]: Taking taylor expansion of 0 in J 100.661 * [backup-simplify]: Simplify 0 into 0 100.661 * [taylor]: Taking taylor expansion of 0 in J 100.661 * [backup-simplify]: Simplify 0 into 0 100.661 * [backup-simplify]: Simplify 0 into 0 100.661 * [backup-simplify]: Simplify 0 into 0 100.661 * [backup-simplify]: Simplify 0 into 0 100.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.662 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.663 * [backup-simplify]: Simplify (+ 0) into 0 100.663 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.665 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.665 * [backup-simplify]: Simplify (- 0) into 0 100.666 * [backup-simplify]: Simplify (+ 0 0) into 0 100.666 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.666 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 100.667 * [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 0 100.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 100.668 * [backup-simplify]: Simplify (+ 0 0) into 0 100.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 100.668 * [taylor]: Taking taylor expansion of 0 in K 100.668 * [backup-simplify]: Simplify 0 into 0 100.668 * [taylor]: Taking taylor expansion of 0 in J 100.669 * [backup-simplify]: Simplify 0 into 0 100.669 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.669 * [backup-simplify]: Simplify (+ 0) into 0 100.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 100.670 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 100.670 * [taylor]: Taking taylor expansion of 0 in J 100.670 * [backup-simplify]: Simplify 0 into 0 100.671 * [taylor]: Taking taylor expansion of 0 in J 100.671 * [backup-simplify]: Simplify 0 into 0 100.671 * [taylor]: Taking taylor expansion of 0 in J 100.671 * [backup-simplify]: Simplify 0 into 0 100.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.673 * [backup-simplify]: Simplify 0 into 0 100.673 * [backup-simplify]: Simplify 0 into 0 100.673 * [backup-simplify]: Simplify 1 into 1 100.674 * [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)) 100.674 * [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 0 100.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 100.674 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 100.674 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 100.674 * [taylor]: Taking taylor expansion of 1/4 in J 100.674 * [backup-simplify]: Simplify 1/4 into 1/4 100.674 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 100.674 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.674 * [taylor]: Taking taylor expansion of J in J 100.674 * [backup-simplify]: Simplify 0 into 0 100.674 * [backup-simplify]: Simplify 1 into 1 100.674 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 100.674 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.674 * [taylor]: Taking taylor expansion of U in J 100.674 * [backup-simplify]: Simplify U into U 100.674 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 100.674 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.674 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.674 * [taylor]: Taking taylor expansion of 1/2 in J 100.674 * [backup-simplify]: Simplify 1/2 into 1/2 100.674 * [taylor]: Taking taylor expansion of K in J 100.674 * [backup-simplify]: Simplify K into K 100.674 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.675 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.675 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.675 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.675 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.675 * [backup-simplify]: Simplify (- 0) into 0 100.675 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.676 * [backup-simplify]: Simplify (* 1 1) into 1 100.676 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.676 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.676 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.676 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 100.676 * [taylor]: Taking taylor expansion of 1 in J 100.676 * [backup-simplify]: Simplify 1 into 1 100.677 * [backup-simplify]: Simplify (+ 0 1) into 1 100.677 * [backup-simplify]: Simplify (sqrt 1) into 1 100.678 * [backup-simplify]: Simplify (+ 0 0) into 0 100.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.678 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 100.678 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 100.678 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 100.678 * [taylor]: Taking taylor expansion of 1/4 in K 100.678 * [backup-simplify]: Simplify 1/4 into 1/4 100.678 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 100.678 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.678 * [taylor]: Taking taylor expansion of J in K 100.678 * [backup-simplify]: Simplify J into J 100.679 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 100.679 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.679 * [taylor]: Taking taylor expansion of U in K 100.679 * [backup-simplify]: Simplify U into U 100.679 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 100.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.679 * [taylor]: Taking taylor expansion of 1/2 in K 100.679 * [backup-simplify]: Simplify 1/2 into 1/2 100.679 * [taylor]: Taking taylor expansion of K in K 100.679 * [backup-simplify]: Simplify 0 into 0 100.679 * [backup-simplify]: Simplify 1 into 1 100.679 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.679 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.679 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.680 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.680 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.680 * [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))) 100.680 * [taylor]: Taking taylor expansion of 1 in K 100.680 * [backup-simplify]: Simplify 1 into 1 100.680 * [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)))) 100.681 * [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) 100.681 * [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)) 100.681 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.681 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.682 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.682 * [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 0 100.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.683 * [backup-simplify]: Simplify (+ 0 0) into 0 100.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 100.684 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.684 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.684 * [taylor]: Taking taylor expansion of 1/4 in U 100.684 * [backup-simplify]: Simplify 1/4 into 1/4 100.684 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.684 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.684 * [taylor]: Taking taylor expansion of J in U 100.684 * [backup-simplify]: Simplify J into J 100.684 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.684 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.684 * [taylor]: Taking taylor expansion of U in U 100.684 * [backup-simplify]: Simplify 0 into 0 100.684 * [backup-simplify]: Simplify 1 into 1 100.684 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.684 * [taylor]: Taking taylor expansion of 1/2 in U 100.684 * [backup-simplify]: Simplify 1/2 into 1/2 100.684 * [taylor]: Taking taylor expansion of K in U 100.684 * [backup-simplify]: Simplify K into K 100.685 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.685 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.685 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.685 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.685 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.685 * [backup-simplify]: Simplify (- 0) into 0 100.685 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.685 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.686 * [backup-simplify]: Simplify (* 1 1) into 1 100.686 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.686 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.686 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.686 * [taylor]: Taking taylor expansion of 1 in U 100.686 * [backup-simplify]: Simplify 1 into 1 100.686 * [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))) 100.687 * [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))) 100.687 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.687 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.687 * [backup-simplify]: Simplify (+ 0) into 0 100.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.690 * [backup-simplify]: Simplify (- 0) into 0 100.690 * [backup-simplify]: Simplify (+ 0 0) into 0 100.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.692 * [backup-simplify]: 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 0 100.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.693 * [backup-simplify]: Simplify (+ 0 0) into 0 100.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.693 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.693 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.693 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.693 * [taylor]: Taking taylor expansion of 1/4 in U 100.693 * [backup-simplify]: Simplify 1/4 into 1/4 100.693 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.693 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.693 * [taylor]: Taking taylor expansion of J in U 100.693 * [backup-simplify]: Simplify J into J 100.693 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.694 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.694 * [taylor]: Taking taylor expansion of U in U 100.694 * [backup-simplify]: Simplify 0 into 0 100.694 * [backup-simplify]: Simplify 1 into 1 100.694 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.694 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.694 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.694 * [taylor]: Taking taylor expansion of 1/2 in U 100.694 * [backup-simplify]: Simplify 1/2 into 1/2 100.694 * [taylor]: Taking taylor expansion of K in U 100.694 * [backup-simplify]: Simplify K into K 100.694 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.694 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.694 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.694 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.694 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.695 * [backup-simplify]: Simplify (- 0) into 0 100.695 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.695 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.695 * [backup-simplify]: Simplify (* 1 1) into 1 100.695 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.695 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.696 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.696 * [taylor]: Taking taylor expansion of 1 in U 100.696 * [backup-simplify]: Simplify 1 into 1 100.696 * [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))) 100.696 * [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))) 100.696 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.696 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.697 * [backup-simplify]: Simplify (+ 0) into 0 100.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.699 * [backup-simplify]: Simplify (- 0) into 0 100.699 * [backup-simplify]: Simplify (+ 0 0) into 0 100.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.701 * [backup-simplify]: 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 0 100.702 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.702 * [backup-simplify]: Simplify (+ 0 0) into 0 100.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 100.703 * [taylor]: Taking taylor expansion of 1/2 in K 100.703 * [backup-simplify]: Simplify 1/2 into 1/2 100.703 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 100.703 * [taylor]: Taking taylor expansion of J in K 100.703 * [backup-simplify]: Simplify J into J 100.703 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.703 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.703 * [taylor]: Taking taylor expansion of 1/2 in K 100.703 * [backup-simplify]: Simplify 1/2 into 1/2 100.703 * [taylor]: Taking taylor expansion of K in K 100.703 * [backup-simplify]: Simplify 0 into 0 100.703 * [backup-simplify]: Simplify 1 into 1 100.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.703 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.704 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 100.704 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 100.704 * [taylor]: Taking taylor expansion of 1/2 in J 100.704 * [backup-simplify]: Simplify 1/2 into 1/2 100.704 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 100.704 * [taylor]: Taking taylor expansion of J in J 100.704 * [backup-simplify]: Simplify 0 into 0 100.704 * [backup-simplify]: Simplify 1 into 1 100.704 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.704 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.704 * [taylor]: Taking taylor expansion of 1/2 in J 100.704 * [backup-simplify]: Simplify 1/2 into 1/2 100.704 * [taylor]: Taking taylor expansion of K in J 100.704 * [backup-simplify]: Simplify K into K 100.704 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.704 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.704 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.704 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.704 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.705 * [backup-simplify]: Simplify (- 0) into 0 100.705 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.705 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 100.705 * [taylor]: Taking taylor expansion of 0 in K 100.705 * [backup-simplify]: Simplify 0 into 0 100.705 * [taylor]: Taking taylor expansion of 0 in J 100.705 * [backup-simplify]: Simplify 0 into 0 100.705 * [backup-simplify]: Simplify 0 into 0 100.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 100.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 100.706 * [taylor]: Taking taylor expansion of 0 in J 100.706 * [backup-simplify]: Simplify 0 into 0 100.706 * [backup-simplify]: Simplify 0 into 0 100.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 100.706 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 100.707 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.709 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.709 * [backup-simplify]: Simplify (- 0) into 0 100.709 * [backup-simplify]: Simplify (+ 0 0) into 0 100.710 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 100.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 100.711 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 100.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.712 * [backup-simplify]: Simplify (+ 0 1) into 1 100.713 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 100.713 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 100.713 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.713 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.713 * [taylor]: Taking taylor expansion of 1/2 in K 100.713 * [backup-simplify]: Simplify 1/2 into 1/2 100.713 * [taylor]: Taking taylor expansion of K in K 100.713 * [backup-simplify]: Simplify 0 into 0 100.713 * [backup-simplify]: Simplify 1 into 1 100.713 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.713 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.713 * [taylor]: Taking taylor expansion of J in K 100.713 * [backup-simplify]: Simplify J into J 100.713 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 100.713 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 100.713 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.713 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.713 * [taylor]: Taking taylor expansion of 1/2 in J 100.713 * [backup-simplify]: Simplify 1/2 into 1/2 100.713 * [taylor]: Taking taylor expansion of K in J 100.713 * [backup-simplify]: Simplify K into K 100.713 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.713 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.713 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.713 * [taylor]: Taking taylor expansion of J in J 100.713 * [backup-simplify]: Simplify 0 into 0 100.713 * [backup-simplify]: Simplify 1 into 1 100.713 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.714 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.714 * [backup-simplify]: Simplify (- 0) into 0 100.714 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.714 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.714 * [backup-simplify]: Simplify (+ 0) into 0 100.714 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.716 * [backup-simplify]: Simplify (- 0) into 0 100.716 * [backup-simplify]: Simplify (+ 0 0) into 0 100.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 100.717 * [backup-simplify]: Simplify 0 into 0 100.717 * [taylor]: Taking taylor expansion of 0 in J 100.717 * [backup-simplify]: Simplify 0 into 0 100.717 * [backup-simplify]: Simplify 0 into 0 100.717 * [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 0 100.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 100.717 * [taylor]: Taking taylor expansion of 0 in J 100.718 * [backup-simplify]: Simplify 0 into 0 100.718 * [backup-simplify]: Simplify 0 into 0 100.718 * [backup-simplify]: Simplify 0 into 0 100.718 * [backup-simplify]: Simplify 0 into 0 100.718 * [backup-simplify]: Simplify (+ 0) into 0 100.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.719 * [backup-simplify]: Simplify (- 0) into 0 100.719 * [backup-simplify]: Simplify (+ 0 0) into 0 100.720 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 100.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 100.720 * [backup-simplify]: Simplify 0 into 0 100.720 * [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))) 100.720 * [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)))))) 100.721 * [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 0 100.721 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 100.721 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 100.721 * [taylor]: Taking taylor expansion of 1 in J 100.721 * [backup-simplify]: Simplify 1 into 1 100.721 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 100.721 * [taylor]: Taking taylor expansion of 1/4 in J 100.721 * [backup-simplify]: Simplify 1/4 into 1/4 100.721 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 100.721 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.721 * [taylor]: Taking taylor expansion of J in J 100.721 * [backup-simplify]: Simplify 0 into 0 100.721 * [backup-simplify]: Simplify 1 into 1 100.721 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 100.721 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 100.721 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.721 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.721 * [taylor]: Taking taylor expansion of -1/2 in J 100.721 * [backup-simplify]: Simplify -1/2 into -1/2 100.721 * [taylor]: Taking taylor expansion of K in J 100.721 * [backup-simplify]: Simplify K into K 100.721 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.721 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.721 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.721 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.721 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.721 * [backup-simplify]: Simplify (- 0) into 0 100.721 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.721 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.721 * [taylor]: Taking taylor expansion of U in J 100.721 * [backup-simplify]: Simplify U into U 100.722 * [backup-simplify]: Simplify (* 1 1) into 1 100.722 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.722 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.722 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.722 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 100.722 * [backup-simplify]: Simplify (+ 1 0) into 1 100.723 * [backup-simplify]: Simplify (sqrt 1) into 1 100.723 * [backup-simplify]: Simplify (+ 0 0) into 0 100.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.723 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 100.723 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 100.723 * [taylor]: Taking taylor expansion of 1 in K 100.723 * [backup-simplify]: Simplify 1 into 1 100.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 100.723 * [taylor]: Taking taylor expansion of 1/4 in K 100.723 * [backup-simplify]: Simplify 1/4 into 1/4 100.723 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 100.723 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.723 * [taylor]: Taking taylor expansion of J in K 100.723 * [backup-simplify]: Simplify J into J 100.723 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 100.723 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 100.724 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.724 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.724 * [taylor]: Taking taylor expansion of -1/2 in K 100.724 * [backup-simplify]: Simplify -1/2 into -1/2 100.724 * [taylor]: Taking taylor expansion of K in K 100.724 * [backup-simplify]: Simplify 0 into 0 100.724 * [backup-simplify]: Simplify 1 into 1 100.724 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.724 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.724 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.724 * [taylor]: Taking taylor expansion of U in K 100.724 * [backup-simplify]: Simplify U into U 100.724 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.724 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.724 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.724 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.724 * [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))) 100.725 * [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)))) 100.725 * [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))))) 100.725 * [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)))))) 100.725 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.725 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.725 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 100.726 * [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 0 100.729 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 100.730 * [backup-simplify]: Simplify (+ 0 0) into 0 100.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 100.730 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.730 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.730 * [taylor]: Taking taylor expansion of 1 in U 100.730 * [backup-simplify]: Simplify 1 into 1 100.730 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.731 * [taylor]: Taking taylor expansion of 1/4 in U 100.731 * [backup-simplify]: Simplify 1/4 into 1/4 100.731 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.731 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.731 * [taylor]: Taking taylor expansion of J in U 100.731 * [backup-simplify]: Simplify J into J 100.731 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.731 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.731 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.731 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.731 * [taylor]: Taking taylor expansion of -1/2 in U 100.731 * [backup-simplify]: Simplify -1/2 into -1/2 100.731 * [taylor]: Taking taylor expansion of K in U 100.731 * [backup-simplify]: Simplify K into K 100.731 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.731 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.731 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.731 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.731 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.731 * [backup-simplify]: Simplify (- 0) into 0 100.731 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.731 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.731 * [taylor]: Taking taylor expansion of U in U 100.731 * [backup-simplify]: Simplify 0 into 0 100.731 * [backup-simplify]: Simplify 1 into 1 100.731 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.732 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.732 * [backup-simplify]: Simplify (* 1 1) into 1 100.732 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.732 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.732 * [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))) 100.732 * [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))) 100.732 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.732 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.733 * [backup-simplify]: Simplify (+ 0) into 0 100.733 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.735 * [backup-simplify]: Simplify (- 0) into 0 100.735 * [backup-simplify]: Simplify (+ 0 0) into 0 100.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.735 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.736 * [backup-simplify]: 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 0 100.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.737 * [backup-simplify]: Simplify (+ 0 0) into 0 100.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.737 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.737 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.737 * [taylor]: Taking taylor expansion of 1 in U 100.737 * [backup-simplify]: Simplify 1 into 1 100.737 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.737 * [taylor]: Taking taylor expansion of 1/4 in U 100.737 * [backup-simplify]: Simplify 1/4 into 1/4 100.737 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.737 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.737 * [taylor]: Taking taylor expansion of J in U 100.737 * [backup-simplify]: Simplify J into J 100.737 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.737 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.737 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.737 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.737 * [taylor]: Taking taylor expansion of -1/2 in U 100.737 * [backup-simplify]: Simplify -1/2 into -1/2 100.737 * [taylor]: Taking taylor expansion of K in U 100.737 * [backup-simplify]: Simplify K into K 100.737 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.738 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.738 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.738 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.738 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.738 * [backup-simplify]: Simplify (- 0) into 0 100.738 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.738 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.738 * [taylor]: Taking taylor expansion of U in U 100.738 * [backup-simplify]: Simplify 0 into 0 100.738 * [backup-simplify]: Simplify 1 into 1 100.738 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.739 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.739 * [backup-simplify]: Simplify (* 1 1) into 1 100.739 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.739 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.740 * [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))) 100.740 * [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))) 100.740 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.740 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.741 * [backup-simplify]: Simplify (+ 0) into 0 100.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.742 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.743 * [backup-simplify]: Simplify (- 0) into 0 100.744 * [backup-simplify]: Simplify (+ 0 0) into 0 100.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.744 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.744 * [backup-simplify]: 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 0 100.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.745 * [backup-simplify]: Simplify (+ 0 0) into 0 100.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 100.745 * [taylor]: Taking taylor expansion of 1/2 in K 100.745 * [backup-simplify]: Simplify 1/2 into 1/2 100.745 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 100.745 * [taylor]: Taking taylor expansion of J in K 100.745 * [backup-simplify]: Simplify J into J 100.745 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.745 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.745 * [taylor]: Taking taylor expansion of -1/2 in K 100.746 * [backup-simplify]: Simplify -1/2 into -1/2 100.746 * [taylor]: Taking taylor expansion of K in K 100.746 * [backup-simplify]: Simplify 0 into 0 100.746 * [backup-simplify]: Simplify 1 into 1 100.746 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.746 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.746 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 100.746 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 100.746 * [taylor]: Taking taylor expansion of 1/2 in J 100.746 * [backup-simplify]: Simplify 1/2 into 1/2 100.746 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 100.746 * [taylor]: Taking taylor expansion of J in J 100.746 * [backup-simplify]: Simplify 0 into 0 100.746 * [backup-simplify]: Simplify 1 into 1 100.746 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.746 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.746 * [taylor]: Taking taylor expansion of -1/2 in J 100.746 * [backup-simplify]: Simplify -1/2 into -1/2 100.746 * [taylor]: Taking taylor expansion of K in J 100.746 * [backup-simplify]: Simplify K into K 100.746 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.746 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.746 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.746 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.746 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.747 * [backup-simplify]: Simplify (- 0) into 0 100.747 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.747 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 100.747 * [taylor]: Taking taylor expansion of 0 in K 100.747 * [backup-simplify]: Simplify 0 into 0 100.747 * [taylor]: Taking taylor expansion of 0 in J 100.747 * [backup-simplify]: Simplify 0 into 0 100.747 * [backup-simplify]: Simplify 0 into 0 100.747 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 100.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 100.747 * [taylor]: Taking taylor expansion of 0 in J 100.747 * [backup-simplify]: Simplify 0 into 0 100.747 * [backup-simplify]: Simplify 0 into 0 100.748 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 100.748 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 100.748 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.749 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.750 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.750 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.750 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.751 * [backup-simplify]: Simplify (- 0) into 0 100.751 * [backup-simplify]: Simplify (+ 0 0) into 0 100.751 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 100.752 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 100.752 * [backup-simplify]: 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 0 100.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 100.753 * [backup-simplify]: Simplify (+ 1 0) into 1 100.753 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 100.753 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 100.753 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.753 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.753 * [taylor]: Taking taylor expansion of -1/2 in K 100.753 * [backup-simplify]: Simplify -1/2 into -1/2 100.753 * [taylor]: Taking taylor expansion of K in K 100.753 * [backup-simplify]: Simplify 0 into 0 100.753 * [backup-simplify]: Simplify 1 into 1 100.754 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.754 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.754 * [taylor]: Taking taylor expansion of J in K 100.754 * [backup-simplify]: Simplify J into J 100.754 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 100.754 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 100.754 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.754 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.754 * [taylor]: Taking taylor expansion of -1/2 in J 100.754 * [backup-simplify]: Simplify -1/2 into -1/2 100.754 * [taylor]: Taking taylor expansion of K in J 100.754 * [backup-simplify]: Simplify K into K 100.754 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.754 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.754 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.754 * [taylor]: Taking taylor expansion of J in J 100.754 * [backup-simplify]: Simplify 0 into 0 100.754 * [backup-simplify]: Simplify 1 into 1 100.754 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.754 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.754 * [backup-simplify]: Simplify (- 0) into 0 100.755 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.755 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.755 * [backup-simplify]: Simplify (+ 0) into 0 100.755 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.755 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.756 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.756 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.756 * [backup-simplify]: Simplify (- 0) into 0 100.756 * [backup-simplify]: Simplify (+ 0 0) into 0 100.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 100.757 * [backup-simplify]: Simplify 0 into 0 100.757 * [taylor]: Taking taylor expansion of 0 in J 100.757 * [backup-simplify]: Simplify 0 into 0 100.757 * [backup-simplify]: Simplify 0 into 0 100.757 * [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 0 100.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 100.758 * [taylor]: Taking taylor expansion of 0 in J 100.758 * [backup-simplify]: Simplify 0 into 0 100.758 * [backup-simplify]: Simplify 0 into 0 100.758 * [backup-simplify]: Simplify 0 into 0 100.758 * [backup-simplify]: Simplify 0 into 0 100.758 * [backup-simplify]: Simplify (+ 0) into 0 100.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.759 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.759 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.760 * [backup-simplify]: Simplify (- 0) into 0 100.760 * [backup-simplify]: Simplify (+ 0 0) into 0 100.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 100.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 100.760 * [backup-simplify]: Simplify 0 into 0 100.761 * [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))) 100.761 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 100.761 * [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)))) 100.761 * [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 0 100.761 * [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 100.761 * [taylor]: Taking taylor expansion of -2 in J 100.761 * [backup-simplify]: Simplify -2 into -2 100.761 * [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 100.761 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 100.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 100.761 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 100.761 * [taylor]: Taking taylor expansion of 1/2 in J 100.761 * [backup-simplify]: Simplify 1/2 into 1/2 100.761 * [taylor]: Taking taylor expansion of K in J 100.761 * [backup-simplify]: Simplify K into K 100.761 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.761 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.761 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.761 * [taylor]: Taking taylor expansion of J in J 100.761 * [backup-simplify]: Simplify 0 into 0 100.761 * [backup-simplify]: Simplify 1 into 1 100.762 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 100.762 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 100.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 100.762 * [taylor]: Taking taylor expansion of 1/4 in J 100.762 * [backup-simplify]: Simplify 1/4 into 1/4 100.762 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 100.762 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.762 * [taylor]: Taking taylor expansion of U in J 100.762 * [backup-simplify]: Simplify U into U 100.762 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 100.762 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 100.762 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 100.762 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 100.762 * [taylor]: Taking taylor expansion of 1/2 in J 100.762 * [backup-simplify]: Simplify 1/2 into 1/2 100.762 * [taylor]: Taking taylor expansion of K in J 100.762 * [backup-simplify]: Simplify K into K 100.762 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.762 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.762 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.762 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.762 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.762 * [backup-simplify]: Simplify (- 0) into 0 100.762 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.762 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.762 * [taylor]: Taking taylor expansion of J in J 100.762 * [backup-simplify]: Simplify 0 into 0 100.762 * [backup-simplify]: Simplify 1 into 1 100.762 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.762 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.763 * [backup-simplify]: Simplify (* 1 1) into 1 100.763 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 100.763 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 100.763 * [taylor]: Taking taylor expansion of 1 in J 100.763 * [backup-simplify]: Simplify 1 into 1 100.763 * [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))) 100.763 * [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))) 100.763 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 100.763 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.764 * [backup-simplify]: Simplify (+ 0) into 0 100.765 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.766 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.766 * [backup-simplify]: Simplify (- 0) into 0 100.767 * [backup-simplify]: Simplify (+ 0 0) into 0 100.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.767 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 100.767 * [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 0 100.768 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 100.768 * [backup-simplify]: Simplify (+ 0 0) into 0 100.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 100.768 * [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 100.768 * [taylor]: Taking taylor expansion of -2 in K 100.768 * [backup-simplify]: Simplify -2 into -2 100.768 * [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 100.768 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 100.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.768 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.769 * [taylor]: Taking taylor expansion of 1/2 in K 100.769 * [backup-simplify]: Simplify 1/2 into 1/2 100.769 * [taylor]: Taking taylor expansion of K in K 100.769 * [backup-simplify]: Simplify 0 into 0 100.769 * [backup-simplify]: Simplify 1 into 1 100.769 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.769 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.769 * [taylor]: Taking taylor expansion of J in K 100.769 * [backup-simplify]: Simplify J into J 100.769 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 100.769 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 100.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 100.769 * [taylor]: Taking taylor expansion of 1/4 in K 100.769 * [backup-simplify]: Simplify 1/4 into 1/4 100.769 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 100.769 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.769 * [taylor]: Taking taylor expansion of U in K 100.769 * [backup-simplify]: Simplify U into U 100.769 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 100.770 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 100.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.770 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.770 * [taylor]: Taking taylor expansion of 1/2 in K 100.770 * [backup-simplify]: Simplify 1/2 into 1/2 100.770 * [taylor]: Taking taylor expansion of K in K 100.770 * [backup-simplify]: Simplify 0 into 0 100.770 * [backup-simplify]: Simplify 1 into 1 100.770 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.770 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.770 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.770 * [taylor]: Taking taylor expansion of J in K 100.770 * [backup-simplify]: Simplify J into J 100.770 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.771 * [backup-simplify]: Simplify (* 1 1) into 1 100.771 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.771 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 100.771 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 100.771 * [taylor]: Taking taylor expansion of 1 in K 100.771 * [backup-simplify]: Simplify 1 into 1 100.771 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 100.771 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 100.771 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 100.771 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.771 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.772 * [backup-simplify]: Simplify (+ 0) into 0 100.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 100.773 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 100.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 100.773 * [backup-simplify]: Simplify (+ 0 0) into 0 100.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 100.774 * [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 100.774 * [taylor]: Taking taylor expansion of -2 in U 100.774 * [backup-simplify]: Simplify -2 into -2 100.774 * [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 100.774 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 100.774 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.774 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.774 * [taylor]: Taking taylor expansion of 1/2 in U 100.774 * [backup-simplify]: Simplify 1/2 into 1/2 100.774 * [taylor]: Taking taylor expansion of K in U 100.774 * [backup-simplify]: Simplify K into K 100.774 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.774 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.774 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.774 * [taylor]: Taking taylor expansion of J in U 100.774 * [backup-simplify]: Simplify J into J 100.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.774 * [taylor]: Taking taylor expansion of 1/4 in U 100.774 * [backup-simplify]: Simplify 1/4 into 1/4 100.774 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.774 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.774 * [taylor]: Taking taylor expansion of U in U 100.774 * [backup-simplify]: Simplify 0 into 0 100.774 * [backup-simplify]: Simplify 1 into 1 100.774 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.774 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.774 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.774 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.774 * [taylor]: Taking taylor expansion of 1/2 in U 100.774 * [backup-simplify]: Simplify 1/2 into 1/2 100.774 * [taylor]: Taking taylor expansion of K in U 100.774 * [backup-simplify]: Simplify K into K 100.774 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.774 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.774 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.774 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.775 * [backup-simplify]: Simplify (- 0) into 0 100.775 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.775 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.775 * [taylor]: Taking taylor expansion of J in U 100.775 * [backup-simplify]: Simplify J into J 100.775 * [backup-simplify]: Simplify (* 1 1) into 1 100.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.775 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.775 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.775 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.775 * [taylor]: Taking taylor expansion of 1 in U 100.775 * [backup-simplify]: Simplify 1 into 1 100.776 * [backup-simplify]: Simplify (+ 0 1) into 1 100.776 * [backup-simplify]: Simplify (sqrt 1) into 1 100.776 * [backup-simplify]: Simplify (+ 0 0) into 0 100.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.777 * [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 100.777 * [taylor]: Taking taylor expansion of -2 in U 100.777 * [backup-simplify]: Simplify -2 into -2 100.777 * [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 100.777 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 100.777 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.777 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.777 * [taylor]: Taking taylor expansion of 1/2 in U 100.777 * [backup-simplify]: Simplify 1/2 into 1/2 100.777 * [taylor]: Taking taylor expansion of K in U 100.777 * [backup-simplify]: Simplify K into K 100.777 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.777 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.777 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.777 * [taylor]: Taking taylor expansion of J in U 100.777 * [backup-simplify]: Simplify J into J 100.777 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 100.777 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 100.777 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 100.777 * [taylor]: Taking taylor expansion of 1/4 in U 100.777 * [backup-simplify]: Simplify 1/4 into 1/4 100.777 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 100.777 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.777 * [taylor]: Taking taylor expansion of U in U 100.777 * [backup-simplify]: Simplify 0 into 0 100.777 * [backup-simplify]: Simplify 1 into 1 100.777 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 100.777 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 100.777 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 100.777 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 100.777 * [taylor]: Taking taylor expansion of 1/2 in U 100.777 * [backup-simplify]: Simplify 1/2 into 1/2 100.777 * [taylor]: Taking taylor expansion of K in U 100.777 * [backup-simplify]: Simplify K into K 100.777 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 100.777 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 100.777 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 100.777 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.777 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.778 * [backup-simplify]: Simplify (- 0) into 0 100.778 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.778 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.778 * [taylor]: Taking taylor expansion of J in U 100.778 * [backup-simplify]: Simplify J into J 100.778 * [backup-simplify]: Simplify (* 1 1) into 1 100.778 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 100.778 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.778 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 100.778 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 100.778 * [taylor]: Taking taylor expansion of 1 in U 100.778 * [backup-simplify]: Simplify 1 into 1 100.779 * [backup-simplify]: Simplify (+ 0 1) into 1 100.779 * [backup-simplify]: Simplify (sqrt 1) into 1 100.779 * [backup-simplify]: Simplify (+ 0 0) into 0 100.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.780 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 100.780 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 100.780 * [backup-simplify]: Simplify (- 0) into 0 100.780 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 100.780 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 100.780 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 100.781 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 100.781 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 100.781 * [taylor]: Taking taylor expansion of -2 in K 100.781 * [backup-simplify]: Simplify -2 into -2 100.781 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 100.781 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.781 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.781 * [taylor]: Taking taylor expansion of 1/2 in K 100.781 * [backup-simplify]: Simplify 1/2 into 1/2 100.781 * [taylor]: Taking taylor expansion of K in K 100.781 * [backup-simplify]: Simplify 0 into 0 100.781 * [backup-simplify]: Simplify 1 into 1 100.781 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.782 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.782 * [taylor]: Taking taylor expansion of J in K 100.782 * [backup-simplify]: Simplify J into J 100.782 * [backup-simplify]: Simplify (* 1 J) into J 100.782 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 100.782 * [taylor]: Taking taylor expansion of (* -2 J) in J 100.782 * [taylor]: Taking taylor expansion of -2 in J 100.782 * [backup-simplify]: Simplify -2 into -2 100.782 * [taylor]: Taking taylor expansion of J in J 100.782 * [backup-simplify]: Simplify 0 into 0 100.782 * [backup-simplify]: Simplify 1 into 1 100.783 * [backup-simplify]: Simplify (+ 0) into 0 100.783 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.785 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.785 * [backup-simplify]: Simplify (- 0) into 0 100.786 * [backup-simplify]: Simplify (+ 0 0) into 0 100.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 100.786 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 100.787 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 100.787 * [taylor]: Taking taylor expansion of 0 in K 100.787 * [backup-simplify]: Simplify 0 into 0 100.787 * [taylor]: Taking taylor expansion of 0 in J 100.787 * [backup-simplify]: Simplify 0 into 0 100.787 * [backup-simplify]: Simplify (+ 0) into 0 100.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 100.788 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 100.788 * [taylor]: Taking taylor expansion of 0 in J 100.788 * [backup-simplify]: Simplify 0 into 0 100.789 * [backup-simplify]: Simplify (* -2 0) into 0 100.789 * [backup-simplify]: Simplify 0 into 0 100.789 * [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))) 100.789 * [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)))) 100.791 * [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))) 100.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 100.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.794 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.795 * [backup-simplify]: Simplify (- 0) into 0 100.795 * [backup-simplify]: Simplify (+ 0 0) into 0 100.796 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 100.797 * [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))) 100.797 * [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)))) 100.797 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 100.797 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 100.797 * [taylor]: Taking taylor expansion of 1/4 in K 100.797 * [backup-simplify]: Simplify 1/4 into 1/4 100.797 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 100.797 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 100.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 100.797 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 100.797 * [taylor]: Taking taylor expansion of 1/2 in K 100.798 * [backup-simplify]: Simplify 1/2 into 1/2 100.798 * [taylor]: Taking taylor expansion of K in K 100.798 * [backup-simplify]: Simplify 0 into 0 100.798 * [backup-simplify]: Simplify 1 into 1 100.798 * [backup-simplify]: Simplify (* 1/2 0) into 0 100.799 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 100.799 * [taylor]: Taking taylor expansion of J in K 100.799 * [backup-simplify]: Simplify J into J 100.799 * [backup-simplify]: Simplify (* 1 J) into J 100.799 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 100.799 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 100.799 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 100.799 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 100.799 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 100.799 * [taylor]: Taking taylor expansion of 1/4 in J 100.799 * [backup-simplify]: Simplify 1/4 into 1/4 100.799 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.799 * [taylor]: Taking taylor expansion of J in J 100.799 * [backup-simplify]: Simplify 0 into 0 100.799 * [backup-simplify]: Simplify 1 into 1 100.800 * [backup-simplify]: Simplify (/ 1 1) into 1 100.800 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 100.800 * [backup-simplify]: Simplify (- 1/4) into -1/4 100.800 * [backup-simplify]: Simplify -1/4 into -1/4 100.800 * [taylor]: Taking taylor expansion of 0 in J 100.800 * [backup-simplify]: Simplify 0 into 0 100.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 100.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 100.802 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 100.802 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 100.802 * [taylor]: Taking taylor expansion of 1/4 in J 100.802 * [backup-simplify]: Simplify 1/4 into 1/4 100.802 * [taylor]: Taking taylor expansion of J in J 100.802 * [backup-simplify]: Simplify 0 into 0 100.802 * [backup-simplify]: Simplify 1 into 1 100.802 * [backup-simplify]: Simplify 0 into 0 100.802 * [backup-simplify]: Simplify 0 into 0 100.802 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 100.802 * [backup-simplify]: Simplify -2 into -2 100.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.803 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.803 * [backup-simplify]: Simplify (+ 0) into 0 100.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 100.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 100.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.804 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 100.805 * [backup-simplify]: Simplify (- 0) into 0 100.805 * [backup-simplify]: Simplify (+ 0 0) into 0 100.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 100.805 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 100.805 * [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 0 100.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 100.806 * [backup-simplify]: Simplify (+ 0 0) into 0 100.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 100.807 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.807 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 100.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 100.809 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 100.810 * [backup-simplify]: Simplify (- 0) into 0 100.810 * [backup-simplify]: Simplify (+ 0 0) into 0 100.810 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 100.811 * [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 0 100.812 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 100.812 * [taylor]: Taking taylor expansion of 0 in K 100.812 * [backup-simplify]: Simplify 0 into 0 100.812 * [taylor]: Taking taylor expansion of 0 in J 100.812 * [backup-simplify]: Simplify 0 into 0 100.812 * [backup-simplify]: Simplify (+ 0) into 0 100.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 100.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 100.813 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 100.813 * [backup-simplify]: Simplify (- 0) into 0 100.813 * [taylor]: Taking taylor expansion of 0 in J 100.813 * [backup-simplify]: Simplify 0 into 0 100.813 * [taylor]: Taking taylor expansion of 0 in J 100.813 * [backup-simplify]: Simplify 0 into 0 100.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 100.814 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 100.815 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 100.815 * [taylor]: Taking taylor expansion of 0 in J 100.816 * [backup-simplify]: Simplify 0 into 0 100.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 100.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 100.817 * [backup-simplify]: Simplify (- 0) into 0 100.817 * [backup-simplify]: Simplify 0 into 0 100.817 * [backup-simplify]: Simplify 0 into 0 100.817 * [backup-simplify]: Simplify (* 1/4 0) into 0 100.817 * [backup-simplify]: Simplify 0 into 0 100.817 * [backup-simplify]: Simplify 0 into 0 100.817 * [backup-simplify]: Simplify 0 into 0 100.818 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 100.818 * [backup-simplify]: Simplify 0 into 0 100.818 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 100.818 * [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))) 100.819 * [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 0 100.819 * [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 100.819 * [taylor]: Taking taylor expansion of -2 in J 100.819 * [backup-simplify]: Simplify -2 into -2 100.819 * [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 100.819 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 100.819 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 100.819 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 100.819 * [taylor]: Taking taylor expansion of 1/4 in J 100.819 * [backup-simplify]: Simplify 1/4 into 1/4 100.819 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 100.819 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.819 * [taylor]: Taking taylor expansion of J in J 100.819 * [backup-simplify]: Simplify 0 into 0 100.819 * [backup-simplify]: Simplify 1 into 1 100.819 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 100.819 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.819 * [taylor]: Taking taylor expansion of U in J 100.819 * [backup-simplify]: Simplify U into U 100.819 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 100.819 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.819 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.819 * [taylor]: Taking taylor expansion of 1/2 in J 100.819 * [backup-simplify]: Simplify 1/2 into 1/2 100.819 * [taylor]: Taking taylor expansion of K in J 100.819 * [backup-simplify]: Simplify K into K 100.819 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.819 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.819 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.819 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.819 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.819 * [backup-simplify]: Simplify (- 0) into 0 100.819 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.820 * [backup-simplify]: Simplify (* 1 1) into 1 100.820 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.820 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.820 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.820 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 100.820 * [taylor]: Taking taylor expansion of 1 in J 100.820 * [backup-simplify]: Simplify 1 into 1 100.820 * [backup-simplify]: Simplify (+ 0 1) into 1 100.821 * [backup-simplify]: Simplify (sqrt 1) into 1 100.821 * [backup-simplify]: Simplify (+ 0 0) into 0 100.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.821 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 100.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.821 * [taylor]: Taking taylor expansion of 1/2 in J 100.821 * [backup-simplify]: Simplify 1/2 into 1/2 100.821 * [taylor]: Taking taylor expansion of K in J 100.821 * [backup-simplify]: Simplify K into K 100.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.822 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.822 * [taylor]: Taking taylor expansion of J in J 100.822 * [backup-simplify]: Simplify 0 into 0 100.822 * [backup-simplify]: Simplify 1 into 1 100.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.822 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.822 * [backup-simplify]: Simplify (- 0) into 0 100.822 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.822 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.822 * [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 100.822 * [taylor]: Taking taylor expansion of -2 in K 100.822 * [backup-simplify]: Simplify -2 into -2 100.822 * [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 100.822 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 100.822 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 100.822 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 100.822 * [taylor]: Taking taylor expansion of 1/4 in K 100.822 * [backup-simplify]: Simplify 1/4 into 1/4 100.822 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 100.822 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.822 * [taylor]: Taking taylor expansion of J in K 100.822 * [backup-simplify]: Simplify J into J 100.822 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 100.822 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.822 * [taylor]: Taking taylor expansion of U in K 100.822 * [backup-simplify]: Simplify U into U 100.822 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 100.822 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.822 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.822 * [taylor]: Taking taylor expansion of 1/2 in K 100.822 * [backup-simplify]: Simplify 1/2 into 1/2 100.822 * [taylor]: Taking taylor expansion of K in K 100.822 * [backup-simplify]: Simplify 0 into 0 100.822 * [backup-simplify]: Simplify 1 into 1 100.823 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.823 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.823 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.823 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.823 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.823 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 100.823 * [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))) 100.823 * [taylor]: Taking taylor expansion of 1 in K 100.823 * [backup-simplify]: Simplify 1 into 1 100.823 * [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)))) 100.824 * [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) 100.824 * [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)) 100.824 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.824 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.825 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.825 * [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 0 100.826 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.827 * [backup-simplify]: Simplify (+ 0 0) into 0 100.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 100.827 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 100.827 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.828 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.828 * [taylor]: Taking taylor expansion of 1/2 in K 100.828 * [backup-simplify]: Simplify 1/2 into 1/2 100.828 * [taylor]: Taking taylor expansion of K in K 100.828 * [backup-simplify]: Simplify 0 into 0 100.828 * [backup-simplify]: Simplify 1 into 1 100.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.828 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.828 * [taylor]: Taking taylor expansion of J in K 100.828 * [backup-simplify]: Simplify J into J 100.828 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 100.828 * [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 100.829 * [taylor]: Taking taylor expansion of -2 in U 100.829 * [backup-simplify]: Simplify -2 into -2 100.829 * [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 100.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.829 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.829 * [taylor]: Taking taylor expansion of 1/4 in U 100.829 * [backup-simplify]: Simplify 1/4 into 1/4 100.829 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.829 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.829 * [taylor]: Taking taylor expansion of J in U 100.829 * [backup-simplify]: Simplify J into J 100.829 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.829 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.829 * [taylor]: Taking taylor expansion of U in U 100.829 * [backup-simplify]: Simplify 0 into 0 100.829 * [backup-simplify]: Simplify 1 into 1 100.829 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.829 * [taylor]: Taking taylor expansion of 1/2 in U 100.829 * [backup-simplify]: Simplify 1/2 into 1/2 100.829 * [taylor]: Taking taylor expansion of K in U 100.829 * [backup-simplify]: Simplify K into K 100.829 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.829 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.829 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.829 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.830 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.830 * [backup-simplify]: Simplify (- 0) into 0 100.830 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.830 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.831 * [backup-simplify]: Simplify (* 1 1) into 1 100.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.831 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.831 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.831 * [taylor]: Taking taylor expansion of 1 in U 100.831 * [backup-simplify]: Simplify 1 into 1 100.831 * [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))) 100.832 * [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))) 100.832 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.832 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.832 * [backup-simplify]: Simplify (+ 0) into 0 100.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.833 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.835 * [backup-simplify]: Simplify (- 0) into 0 100.835 * [backup-simplify]: Simplify (+ 0 0) into 0 100.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.837 * [backup-simplify]: 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 0 100.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.838 * [backup-simplify]: Simplify (+ 0 0) into 0 100.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.838 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 100.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.838 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.838 * [taylor]: Taking taylor expansion of 1/2 in U 100.838 * [backup-simplify]: Simplify 1/2 into 1/2 100.838 * [taylor]: Taking taylor expansion of K in U 100.838 * [backup-simplify]: Simplify K into K 100.838 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.839 * [taylor]: Taking taylor expansion of J in U 100.839 * [backup-simplify]: Simplify J into J 100.839 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.839 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.843 * [backup-simplify]: Simplify (- 0) into 0 100.844 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.844 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 100.844 * [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 100.844 * [taylor]: Taking taylor expansion of -2 in U 100.844 * [backup-simplify]: Simplify -2 into -2 100.844 * [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 100.844 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 100.844 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 100.844 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 100.844 * [taylor]: Taking taylor expansion of 1/4 in U 100.844 * [backup-simplify]: Simplify 1/4 into 1/4 100.844 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 100.844 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.844 * [taylor]: Taking taylor expansion of J in U 100.844 * [backup-simplify]: Simplify J into J 100.844 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 100.844 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.844 * [taylor]: Taking taylor expansion of U in U 100.844 * [backup-simplify]: Simplify 0 into 0 100.844 * [backup-simplify]: Simplify 1 into 1 100.844 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 100.844 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.844 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.844 * [taylor]: Taking taylor expansion of 1/2 in U 100.844 * [backup-simplify]: Simplify 1/2 into 1/2 100.844 * [taylor]: Taking taylor expansion of K in U 100.845 * [backup-simplify]: Simplify K into K 100.845 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.845 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.845 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.845 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.845 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.846 * [backup-simplify]: Simplify (- 0) into 0 100.846 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.846 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.846 * [backup-simplify]: Simplify (* 1 1) into 1 100.847 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.847 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 100.847 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 100.847 * [taylor]: Taking taylor expansion of 1 in U 100.847 * [backup-simplify]: Simplify 1 into 1 100.847 * [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))) 100.847 * [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))) 100.848 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 100.848 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.848 * [backup-simplify]: Simplify (+ 0) into 0 100.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.851 * [backup-simplify]: Simplify (- 0) into 0 100.851 * [backup-simplify]: Simplify (+ 0 0) into 0 100.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.853 * [backup-simplify]: 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 0 100.853 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 100.854 * [backup-simplify]: Simplify (+ 0 0) into 0 100.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.854 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 100.854 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 100.854 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 100.854 * [taylor]: Taking taylor expansion of 1/2 in U 100.854 * [backup-simplify]: Simplify 1/2 into 1/2 100.854 * [taylor]: Taking taylor expansion of K in U 100.854 * [backup-simplify]: Simplify K into K 100.854 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.855 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.855 * [taylor]: Taking taylor expansion of J in U 100.855 * [backup-simplify]: Simplify J into J 100.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.855 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.855 * [backup-simplify]: Simplify (- 0) into 0 100.855 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.855 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 100.856 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 100.856 * [backup-simplify]: Simplify (* -2 1/2) into -1 100.856 * [taylor]: Taking taylor expansion of -1 in K 100.856 * [backup-simplify]: Simplify -1 into -1 100.856 * [taylor]: Taking taylor expansion of -1 in J 100.856 * [backup-simplify]: Simplify -1 into -1 100.857 * [backup-simplify]: Simplify (+ 0) into 0 100.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.859 * [backup-simplify]: Simplify (- 0) into 0 100.859 * [backup-simplify]: Simplify (+ 0 0) into 0 100.860 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 100.860 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 100.861 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 100.861 * [taylor]: Taking taylor expansion of 0 in K 100.861 * [backup-simplify]: Simplify 0 into 0 100.861 * [taylor]: Taking taylor expansion of 0 in J 100.861 * [backup-simplify]: Simplify 0 into 0 100.861 * [taylor]: Taking taylor expansion of 0 in J 100.861 * [backup-simplify]: Simplify 0 into 0 100.861 * [backup-simplify]: Simplify -1 into -1 100.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.863 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.864 * [backup-simplify]: Simplify (- 0) into 0 100.865 * [backup-simplify]: Simplify (+ 0 0) into 0 100.865 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 100.865 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.868 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.869 * [backup-simplify]: Simplify (- 0) into 0 100.869 * [backup-simplify]: Simplify (+ 0 0) into 0 100.870 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 100.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 100.873 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 100.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 100.874 * [backup-simplify]: Simplify (+ 0 1) into 1 100.875 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 100.876 * [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)) 100.877 * [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)))) 100.877 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 100.877 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 100.877 * [taylor]: Taking taylor expansion of 2 in K 100.877 * [backup-simplify]: Simplify 2 into 2 100.877 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 100.877 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 100.877 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 100.877 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 100.877 * [taylor]: Taking taylor expansion of 1/2 in K 100.877 * [backup-simplify]: Simplify 1/2 into 1/2 100.877 * [taylor]: Taking taylor expansion of K in K 100.877 * [backup-simplify]: Simplify 0 into 0 100.877 * [backup-simplify]: Simplify 1 into 1 100.878 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 100.878 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.878 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.878 * [taylor]: Taking taylor expansion of J in K 100.878 * [backup-simplify]: Simplify J into J 100.878 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.878 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.878 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 100.878 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 100.879 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 100.879 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 100.879 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 100.879 * [taylor]: Taking taylor expansion of 2 in J 100.879 * [backup-simplify]: Simplify 2 into 2 100.879 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 100.879 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 100.879 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 100.879 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 100.879 * [taylor]: Taking taylor expansion of 1/2 in J 100.879 * [backup-simplify]: Simplify 1/2 into 1/2 100.879 * [taylor]: Taking taylor expansion of K in J 100.879 * [backup-simplify]: Simplify K into K 100.879 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 100.879 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 100.879 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 100.879 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 100.879 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 100.880 * [backup-simplify]: Simplify (- 0) into 0 100.880 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 100.880 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.880 * [taylor]: Taking taylor expansion of J in J 100.880 * [backup-simplify]: Simplify 0 into 0 100.880 * [backup-simplify]: Simplify 1 into 1 100.880 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 100.880 * [backup-simplify]: Simplify (* 1 1) into 1 100.881 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 100.881 * [backup-simplify]: Simplify (+ 0) into 0 100.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 100.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 100.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 100.883 * [backup-simplify]: Simplify (- 0) into 0 100.884 * [backup-simplify]: Simplify (+ 0 0) into 0 100.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 100.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 100.887 * [backup-simplify]: Simplify (- 0) into 0 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [taylor]: Taking taylor expansion of 0 in J 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [taylor]: Taking taylor expansion of 0 in J 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [backup-simplify]: Simplify 0 into 0 100.888 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.889 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.891 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 100.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 100.892 * [backup-simplify]: Simplify (- 0) into 0 100.892 * [backup-simplify]: Simplify (+ 0 0) into 0 100.893 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 100.893 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 100.894 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 100.898 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 100.898 * [backup-simplify]: Simplify (- 0) into 0 100.898 * [backup-simplify]: Simplify (+ 0 0) into 0 100.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 100.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 100.902 * [backup-simplify]: 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 0 100.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 100.904 * [backup-simplify]: Simplify (+ 0 0) into 0 100.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 100.905 * [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 0 100.906 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 100.906 * [taylor]: Taking taylor expansion of 0 in K 100.906 * [backup-simplify]: Simplify 0 into 0 100.906 * [taylor]: Taking taylor expansion of 0 in J 100.906 * [backup-simplify]: Simplify 0 into 0 100.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 100.907 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.907 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 100.908 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 100.908 * [backup-simplify]: Simplify (- 0) into 0 100.908 * [taylor]: Taking taylor expansion of 0 in J 100.908 * [backup-simplify]: Simplify 0 into 0 100.908 * [taylor]: Taking taylor expansion of 0 in J 100.908 * [backup-simplify]: Simplify 0 into 0 100.908 * [taylor]: Taking taylor expansion of 0 in J 100.908 * [backup-simplify]: Simplify 0 into 0 100.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.910 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.910 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.912 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.912 * [backup-simplify]: Simplify (- 0) into 0 100.912 * [backup-simplify]: Simplify (+ 0 0) into 0 100.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 100.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 100.917 * [backup-simplify]: Simplify (- 0) into 0 100.917 * [backup-simplify]: Simplify 0 into 0 100.917 * [backup-simplify]: Simplify 0 into 0 100.917 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 100.918 * [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)))))))) 100.918 * [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 0 100.918 * [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 100.918 * [taylor]: Taking taylor expansion of 2 in J 100.918 * [backup-simplify]: Simplify 2 into 2 100.918 * [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 100.918 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 100.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.918 * [taylor]: Taking taylor expansion of -1/2 in J 100.918 * [backup-simplify]: Simplify -1/2 into -1/2 100.918 * [taylor]: Taking taylor expansion of K in J 100.918 * [backup-simplify]: Simplify K into K 100.918 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.918 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.918 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.918 * [taylor]: Taking taylor expansion of J in J 100.918 * [backup-simplify]: Simplify 0 into 0 100.918 * [backup-simplify]: Simplify 1 into 1 100.918 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.919 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.919 * [backup-simplify]: Simplify (- 0) into 0 100.919 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.919 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.919 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 100.919 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 100.919 * [taylor]: Taking taylor expansion of 1 in J 100.919 * [backup-simplify]: Simplify 1 into 1 100.919 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 100.919 * [taylor]: Taking taylor expansion of 1/4 in J 100.919 * [backup-simplify]: Simplify 1/4 into 1/4 100.919 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 100.919 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.919 * [taylor]: Taking taylor expansion of J in J 100.919 * [backup-simplify]: Simplify 0 into 0 100.919 * [backup-simplify]: Simplify 1 into 1 100.920 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 100.920 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 100.920 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.920 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.920 * [taylor]: Taking taylor expansion of -1/2 in J 100.920 * [backup-simplify]: Simplify -1/2 into -1/2 100.920 * [taylor]: Taking taylor expansion of K in J 100.920 * [backup-simplify]: Simplify K into K 100.920 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.920 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.920 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.920 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.920 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.920 * [backup-simplify]: Simplify (- 0) into 0 100.921 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.921 * [taylor]: Taking taylor expansion of (pow U 2) in J 100.921 * [taylor]: Taking taylor expansion of U in J 100.921 * [backup-simplify]: Simplify U into U 100.921 * [backup-simplify]: Simplify (* 1 1) into 1 100.921 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.921 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.921 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.922 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 100.922 * [backup-simplify]: Simplify (+ 1 0) into 1 100.922 * [backup-simplify]: Simplify (sqrt 1) into 1 100.923 * [backup-simplify]: Simplify (+ 0 0) into 0 100.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 100.924 * [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 100.924 * [taylor]: Taking taylor expansion of 2 in K 100.924 * [backup-simplify]: Simplify 2 into 2 100.924 * [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 100.924 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 100.924 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.924 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.924 * [taylor]: Taking taylor expansion of -1/2 in K 100.924 * [backup-simplify]: Simplify -1/2 into -1/2 100.924 * [taylor]: Taking taylor expansion of K in K 100.924 * [backup-simplify]: Simplify 0 into 0 100.924 * [backup-simplify]: Simplify 1 into 1 100.924 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.924 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.924 * [taylor]: Taking taylor expansion of J in K 100.924 * [backup-simplify]: Simplify J into J 100.924 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 100.924 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 100.924 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 100.924 * [taylor]: Taking taylor expansion of 1 in K 100.924 * [backup-simplify]: Simplify 1 into 1 100.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 100.924 * [taylor]: Taking taylor expansion of 1/4 in K 100.924 * [backup-simplify]: Simplify 1/4 into 1/4 100.924 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 100.924 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.924 * [taylor]: Taking taylor expansion of J in K 100.924 * [backup-simplify]: Simplify J into J 100.924 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 100.924 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 100.924 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.924 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.924 * [taylor]: Taking taylor expansion of -1/2 in K 100.924 * [backup-simplify]: Simplify -1/2 into -1/2 100.924 * [taylor]: Taking taylor expansion of K in K 100.924 * [backup-simplify]: Simplify 0 into 0 100.925 * [backup-simplify]: Simplify 1 into 1 100.925 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.925 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.925 * [taylor]: Taking taylor expansion of (pow U 2) in K 100.925 * [taylor]: Taking taylor expansion of U in K 100.925 * [backup-simplify]: Simplify U into U 100.925 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.925 * [backup-simplify]: Simplify (* U U) into (pow U 2) 100.925 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 100.925 * [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))) 100.925 * [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)))) 100.926 * [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))))) 100.926 * [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)))))) 100.926 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.926 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 100.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.926 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 100.927 * [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 0 100.927 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 100.927 * [backup-simplify]: Simplify (+ 0 0) into 0 100.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 100.928 * [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 100.928 * [taylor]: Taking taylor expansion of 2 in U 100.928 * [backup-simplify]: Simplify 2 into 2 100.928 * [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 100.928 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 100.928 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.928 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.928 * [taylor]: Taking taylor expansion of -1/2 in U 100.928 * [backup-simplify]: Simplify -1/2 into -1/2 100.928 * [taylor]: Taking taylor expansion of K in U 100.928 * [backup-simplify]: Simplify K into K 100.928 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.928 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.928 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.928 * [taylor]: Taking taylor expansion of J in U 100.928 * [backup-simplify]: Simplify J into J 100.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.928 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.928 * [backup-simplify]: Simplify (- 0) into 0 100.928 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.928 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 100.928 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.929 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.929 * [taylor]: Taking taylor expansion of 1 in U 100.929 * [backup-simplify]: Simplify 1 into 1 100.929 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.929 * [taylor]: Taking taylor expansion of 1/4 in U 100.929 * [backup-simplify]: Simplify 1/4 into 1/4 100.929 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.929 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.929 * [taylor]: Taking taylor expansion of J in U 100.929 * [backup-simplify]: Simplify J into J 100.929 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.929 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.929 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.929 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.929 * [taylor]: Taking taylor expansion of -1/2 in U 100.929 * [backup-simplify]: Simplify -1/2 into -1/2 100.929 * [taylor]: Taking taylor expansion of K in U 100.929 * [backup-simplify]: Simplify K into K 100.929 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.929 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.929 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.929 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.929 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.929 * [backup-simplify]: Simplify (- 0) into 0 100.929 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.929 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.929 * [taylor]: Taking taylor expansion of U in U 100.929 * [backup-simplify]: Simplify 0 into 0 100.929 * [backup-simplify]: Simplify 1 into 1 100.929 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.930 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.930 * [backup-simplify]: Simplify (* 1 1) into 1 100.930 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.930 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.930 * [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))) 100.930 * [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))) 100.930 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.930 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.931 * [backup-simplify]: Simplify (+ 0) into 0 100.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.932 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.933 * [backup-simplify]: Simplify (- 0) into 0 100.933 * [backup-simplify]: Simplify (+ 0 0) into 0 100.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.933 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.933 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 100.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.934 * [backup-simplify]: Simplify (+ 0 0) into 0 100.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.934 * [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 100.934 * [taylor]: Taking taylor expansion of 2 in U 100.934 * [backup-simplify]: Simplify 2 into 2 100.934 * [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 100.934 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 100.934 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.934 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.934 * [taylor]: Taking taylor expansion of -1/2 in U 100.934 * [backup-simplify]: Simplify -1/2 into -1/2 100.934 * [taylor]: Taking taylor expansion of K in U 100.934 * [backup-simplify]: Simplify K into K 100.934 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.935 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.935 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.935 * [taylor]: Taking taylor expansion of J in U 100.935 * [backup-simplify]: Simplify J into J 100.935 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.935 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.935 * [backup-simplify]: Simplify (- 0) into 0 100.935 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.935 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 100.935 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 100.935 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 100.935 * [taylor]: Taking taylor expansion of 1 in U 100.935 * [backup-simplify]: Simplify 1 into 1 100.935 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 100.935 * [taylor]: Taking taylor expansion of 1/4 in U 100.935 * [backup-simplify]: Simplify 1/4 into 1/4 100.935 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 100.935 * [taylor]: Taking taylor expansion of (pow J 2) in U 100.935 * [taylor]: Taking taylor expansion of J in U 100.935 * [backup-simplify]: Simplify J into J 100.935 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 100.935 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 100.935 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 100.935 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 100.935 * [taylor]: Taking taylor expansion of -1/2 in U 100.935 * [backup-simplify]: Simplify -1/2 into -1/2 100.935 * [taylor]: Taking taylor expansion of K in U 100.935 * [backup-simplify]: Simplify K into K 100.935 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.935 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.935 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.936 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.936 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.936 * [backup-simplify]: Simplify (- 0) into 0 100.936 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.936 * [taylor]: Taking taylor expansion of (pow U 2) in U 100.936 * [taylor]: Taking taylor expansion of U in U 100.936 * [backup-simplify]: Simplify 0 into 0 100.936 * [backup-simplify]: Simplify 1 into 1 100.936 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.936 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.936 * [backup-simplify]: Simplify (* 1 1) into 1 100.936 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.937 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 100.937 * [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))) 100.937 * [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))) 100.937 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 100.937 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.938 * [backup-simplify]: Simplify (+ 0) into 0 100.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.939 * [backup-simplify]: Simplify (- 0) into 0 100.939 * [backup-simplify]: Simplify (+ 0 0) into 0 100.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.940 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 100.940 * [backup-simplify]: 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 0 100.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 100.941 * [backup-simplify]: Simplify (+ 0 0) into 0 100.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.941 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 100.941 * [backup-simplify]: Simplify (* 2 1/2) into 1 100.941 * [taylor]: Taking taylor expansion of 1 in K 100.941 * [backup-simplify]: Simplify 1 into 1 100.941 * [taylor]: Taking taylor expansion of 1 in J 100.941 * [backup-simplify]: Simplify 1 into 1 100.942 * [backup-simplify]: Simplify (+ 0) into 0 100.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.943 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.943 * [backup-simplify]: Simplify (- 0) into 0 100.943 * [backup-simplify]: Simplify (+ 0 0) into 0 100.943 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 100.943 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 100.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 100.944 * [taylor]: Taking taylor expansion of 0 in K 100.944 * [backup-simplify]: Simplify 0 into 0 100.944 * [taylor]: Taking taylor expansion of 0 in J 100.944 * [backup-simplify]: Simplify 0 into 0 100.944 * [taylor]: Taking taylor expansion of 0 in J 100.944 * [backup-simplify]: Simplify 0 into 0 100.944 * [backup-simplify]: Simplify 1 into 1 100.944 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 100.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.947 * [backup-simplify]: Simplify (- 0) into 0 100.947 * [backup-simplify]: Simplify (+ 0 0) into 0 100.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 100.948 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 100.949 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 100.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 100.950 * [backup-simplify]: Simplify (+ 1 0) into 1 100.950 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 100.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.951 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.951 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.952 * [backup-simplify]: Simplify (- 0) into 0 100.953 * [backup-simplify]: Simplify (+ 0 0) into 0 100.953 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 100.953 * [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)) 100.954 * [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))) 100.954 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 100.954 * [taylor]: Taking taylor expansion of 2 in K 100.954 * [backup-simplify]: Simplify 2 into 2 100.954 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 100.954 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 100.954 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 100.954 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 100.954 * [taylor]: Taking taylor expansion of -1/2 in K 100.954 * [backup-simplify]: Simplify -1/2 into -1/2 100.954 * [taylor]: Taking taylor expansion of K in K 100.954 * [backup-simplify]: Simplify 0 into 0 100.954 * [backup-simplify]: Simplify 1 into 1 100.954 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 100.954 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.954 * [taylor]: Taking taylor expansion of (pow J 2) in K 100.954 * [taylor]: Taking taylor expansion of J in K 100.954 * [backup-simplify]: Simplify J into J 100.954 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.955 * [backup-simplify]: Simplify (* J J) into (pow J 2) 100.955 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 100.955 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 100.955 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 100.955 * [taylor]: Taking taylor expansion of 2 in J 100.955 * [backup-simplify]: Simplify 2 into 2 100.955 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 100.955 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 100.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 100.955 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 100.955 * [taylor]: Taking taylor expansion of -1/2 in J 100.955 * [backup-simplify]: Simplify -1/2 into -1/2 100.955 * [taylor]: Taking taylor expansion of K in J 100.955 * [backup-simplify]: Simplify K into K 100.955 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 100.955 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 100.955 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 100.955 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 100.955 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 100.955 * [backup-simplify]: Simplify (- 0) into 0 100.955 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 100.955 * [taylor]: Taking taylor expansion of (pow J 2) in J 100.955 * [taylor]: Taking taylor expansion of J in J 100.956 * [backup-simplify]: Simplify 0 into 0 100.956 * [backup-simplify]: Simplify 1 into 1 100.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 100.956 * [backup-simplify]: Simplify (* 1 1) into 1 100.956 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 100.956 * [backup-simplify]: Simplify (+ 0) into 0 100.957 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 100.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 100.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 100.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 100.958 * [backup-simplify]: Simplify (- 0) into 0 100.958 * [backup-simplify]: Simplify (+ 0 0) into 0 100.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 100.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 100.959 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 100.959 * [backup-simplify]: Simplify 0 into 0 100.959 * [taylor]: Taking taylor expansion of 0 in J 100.959 * [backup-simplify]: Simplify 0 into 0 100.959 * [taylor]: Taking taylor expansion of 0 in J 100.959 * [backup-simplify]: Simplify 0 into 0 100.959 * [backup-simplify]: Simplify 0 into 0 100.959 * [backup-simplify]: Simplify 0 into 0 100.959 * [backup-simplify]: Simplify 0 into 0 100.960 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 100.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.962 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.963 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 100.965 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 100.966 * [backup-simplify]: Simplify (- 0) into 0 100.966 * [backup-simplify]: Simplify (+ 0 0) into 0 100.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 100.968 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.969 * [backup-simplify]: 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 0 100.970 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.975 * [backup-simplify]: Simplify (+ 0 0) into 0 100.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 100.977 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.978 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.980 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 100.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 100.981 * [backup-simplify]: Simplify (- 0) into 0 100.981 * [backup-simplify]: Simplify (+ 0 0) into 0 100.981 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 100.982 * [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 0 100.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 100.983 * [taylor]: Taking taylor expansion of 0 in K 100.983 * [backup-simplify]: Simplify 0 into 0 100.983 * [taylor]: Taking taylor expansion of 0 in J 100.983 * [backup-simplify]: Simplify 0 into 0 100.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.984 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.984 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 100.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 100.985 * [taylor]: Taking taylor expansion of 0 in J 100.985 * [backup-simplify]: Simplify 0 into 0 100.985 * [taylor]: Taking taylor expansion of 0 in J 100.985 * [backup-simplify]: Simplify 0 into 0 100.985 * [taylor]: Taking taylor expansion of 0 in J 100.985 * [backup-simplify]: Simplify 0 into 0 100.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.988 * [backup-simplify]: Simplify (- 0) into 0 100.988 * [backup-simplify]: Simplify (+ 0 0) into 0 100.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 100.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 100.991 * [backup-simplify]: Simplify 0 into 0 100.991 * [backup-simplify]: Simplify 0 into 0 100.991 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 100.991 * * * [progress]: simplifying candidates 100.991 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 100.991 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 100.991 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 100.991 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 100.991 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 100.991 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 100.991 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 100.991 * [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)))) 100.992 * * [simplify]: iters left: 6 (15 enodes) 100.996 * * [simplify]: iters left: 5 (59 enodes) 101.006 * * [simplify]: iters left: 4 (112 enodes) 101.033 * * [simplify]: iters left: 3 (365 enodes) 101.227 * * [simplify]: Extracting #0: cost 1 inf + 0 101.227 * * [simplify]: Extracting #1: cost 4 inf + 0 101.227 * * [simplify]: Extracting #2: cost 7 inf + 0 101.227 * * [simplify]: Extracting #3: cost 10 inf + 0 101.227 * * [simplify]: Extracting #4: cost 122 inf + 1 101.229 * * [simplify]: Extracting #5: cost 241 inf + 89 101.230 * * [simplify]: Extracting #6: cost 203 inf + 3666 101.237 * * [simplify]: Extracting #7: cost 128 inf + 17960 101.260 * * [simplify]: Extracting #8: cost 13 inf + 45848 101.289 * * [simplify]: Extracting #9: cost 0 inf + 48961 101.321 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 101.321 * [simplify]: Simplified (2 2 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 (* (* (* (* (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)))) 101.321 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 101.322 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 101.322 * * [simplify]: iters left: 6 (14 enodes) 101.329 * * [simplify]: iters left: 5 (55 enodes) 101.349 * * [simplify]: iters left: 4 (108 enodes) 101.403 * * [simplify]: iters left: 3 (363 enodes) 101.642 * * [simplify]: Extracting #0: cost 1 inf + 0 101.642 * * [simplify]: Extracting #1: cost 3 inf + 0 101.642 * * [simplify]: Extracting #2: cost 5 inf + 0 101.642 * * [simplify]: Extracting #3: cost 8 inf + 0 101.643 * * [simplify]: Extracting #4: cost 123 inf + 1 101.645 * * [simplify]: Extracting #5: cost 234 inf + 420 101.648 * * [simplify]: Extracting #6: cost 203 inf + 3175 101.657 * * [simplify]: Extracting #7: cost 127 inf + 18949 101.672 * * [simplify]: Extracting #8: cost 7 inf + 46860 101.687 * * [simplify]: Extracting #9: cost 0 inf + 48232 101.707 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 101.707 * [simplify]: Simplified (2 2 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 (* (* (* (* (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)))) 101.707 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 101.708 * [simplify]: Simplifying (sqrt 1) 101.708 * * [simplify]: iters left: 1 (2 enodes) 101.711 * * [simplify]: Extracting #0: cost 1 inf + 0 101.711 * * [simplify]: Extracting #1: cost 0 inf + 1 101.711 * [simplify]: Simplified to 1 101.711 * [simplify]: Simplified (2 2 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 (* (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)))) 101.711 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 101.712 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 101.712 * * [simplify]: iters left: 6 (16 enodes) 101.721 * * [simplify]: iters left: 5 (70 enodes) 101.750 * * [simplify]: iters left: 4 (176 enodes) 101.880 * * [simplify]: Extracting #0: cost 1 inf + 0 101.880 * * [simplify]: Extracting #1: cost 3 inf + 0 101.881 * * [simplify]: Extracting #2: cost 6 inf + 0 101.881 * * [simplify]: Extracting #3: cost 103 inf + 1 101.882 * * [simplify]: Extracting #4: cost 306 inf + 6 101.885 * * [simplify]: Extracting #5: cost 338 inf + 1810 101.893 * * [simplify]: Extracting #6: cost 242 inf + 27932 101.914 * * [simplify]: Extracting #7: cost 28 inf + 100762 101.954 * * [simplify]: Extracting #8: cost 0 inf + 110036 101.984 * [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))))))) 101.984 * [simplify]: Simplified (2 2 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 (* (* (* (/ (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)))) 101.985 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 101.985 * [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))) 101.985 * * [simplify]: iters left: 6 (15 enodes) 101.991 * * [simplify]: iters left: 5 (62 enodes) 102.015 * * [simplify]: iters left: 4 (150 enodes) 102.134 * * [simplify]: Extracting #0: cost 1 inf + 0 102.134 * * [simplify]: Extracting #1: cost 3 inf + 0 102.134 * * [simplify]: Extracting #2: cost 9 inf + 0 102.134 * * [simplify]: Extracting #3: cost 105 inf + 2 102.136 * * [simplify]: Extracting #4: cost 286 inf + 6 102.138 * * [simplify]: Extracting #5: cost 280 inf + 1923 102.147 * * [simplify]: Extracting #6: cost 191 inf + 25190 102.181 * * [simplify]: Extracting #7: cost 26 inf + 76271 102.200 * * [simplify]: Extracting #8: cost 0 inf + 85028 102.219 * [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)) 102.219 * [simplify]: Simplified (2 2 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 (* (* (* (/ (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)))) 102.220 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 102.220 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 102.220 * * [simplify]: iters left: 6 (12 enodes) 102.224 * * [simplify]: iters left: 5 (49 enodes) 102.233 * * [simplify]: iters left: 4 (102 enodes) 102.269 * * [simplify]: iters left: 3 (356 enodes) 102.504 * * [simplify]: Extracting #0: cost 1 inf + 0 102.504 * * [simplify]: Extracting #1: cost 4 inf + 0 102.504 * * [simplify]: Extracting #2: cost 116 inf + 1 102.507 * * [simplify]: Extracting #3: cost 234 inf + 254 102.510 * * [simplify]: Extracting #4: cost 192 inf + 4198 102.519 * * [simplify]: Extracting #5: cost 121 inf + 19235 102.545 * * [simplify]: Extracting #6: cost 5 inf + 46310 102.561 * * [simplify]: Extracting #7: cost 0 inf + 47117 102.576 * * [simplify]: Extracting #8: cost 0 inf + 46998 102.610 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 102.611 * [simplify]: Simplified (2 2 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 (* (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (cos (/ K 2))) J)))) 102.611 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 102.611 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 102.612 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 102.612 * * [simplify]: iters left: 6 (13 enodes) 102.619 * * [simplify]: iters left: 5 (52 enodes) 102.638 * * [simplify]: iters left: 4 (105 enodes) 102.672 * * [simplify]: iters left: 3 (359 enodes) 102.927 * * [simplify]: Extracting #0: cost 1 inf + 0 102.927 * * [simplify]: Extracting #1: cost 3 inf + 0 102.927 * * [simplify]: Extracting #2: cost 6 inf + 0 102.927 * * [simplify]: Extracting #3: cost 118 inf + 1 102.929 * * [simplify]: Extracting #4: cost 235 inf + 336 102.932 * * [simplify]: Extracting #5: cost 193 inf + 4402 102.945 * * [simplify]: Extracting #6: cost 119 inf + 19348 102.970 * * [simplify]: Extracting #7: cost 7 inf + 46040 102.985 * * [simplify]: Extracting #8: cost 0 inf + 47488 103.004 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 103.004 * [simplify]: Simplified (2 2 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 (* (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (cos (/ K 2))) J)))) 103.004 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 103.005 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))))> 103.005 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 103.005 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 103.005 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 103.005 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 103.005 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 103.005 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 103.005 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 103.006 * [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)))) 103.006 * * [simplify]: iters left: 6 (15 enodes) 103.014 * * [simplify]: iters left: 5 (59 enodes) 103.034 * * [simplify]: iters left: 4 (112 enodes) 103.090 * * [simplify]: iters left: 3 (365 enodes) 103.362 * * [simplify]: Extracting #0: cost 1 inf + 0 103.362 * * [simplify]: Extracting #1: cost 4 inf + 0 103.362 * * [simplify]: Extracting #2: cost 7 inf + 0 103.362 * * [simplify]: Extracting #3: cost 10 inf + 0 103.362 * * [simplify]: Extracting #4: cost 122 inf + 1 103.363 * * [simplify]: Extracting #5: cost 241 inf + 89 103.365 * * [simplify]: Extracting #6: cost 203 inf + 3666 103.370 * * [simplify]: Extracting #7: cost 128 inf + 17960 103.389 * * [simplify]: Extracting #8: cost 13 inf + 45848 103.406 * * [simplify]: Extracting #9: cost 0 inf + 48961 103.430 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 103.430 * [simplify]: Simplified (2 1 2 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 (* (* (* (* (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)))) 103.431 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 103.431 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 103.431 * * [simplify]: iters left: 6 (14 enodes) 103.439 * * [simplify]: iters left: 5 (55 enodes) 103.454 * * [simplify]: iters left: 4 (108 enodes) 103.482 * * [simplify]: iters left: 3 (363 enodes) 103.739 * * [simplify]: Extracting #0: cost 1 inf + 0 103.739 * * [simplify]: Extracting #1: cost 3 inf + 0 103.739 * * [simplify]: Extracting #2: cost 5 inf + 0 103.739 * * [simplify]: Extracting #3: cost 8 inf + 0 103.739 * * [simplify]: Extracting #4: cost 123 inf + 1 103.742 * * [simplify]: Extracting #5: cost 234 inf + 420 103.745 * * [simplify]: Extracting #6: cost 203 inf + 3175 103.753 * * [simplify]: Extracting #7: cost 127 inf + 18949 103.774 * * [simplify]: Extracting #8: cost 7 inf + 46860 103.789 * * [simplify]: Extracting #9: cost 0 inf + 48232 103.804 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 103.805 * [simplify]: Simplified (2 1 2 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 (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)))) 103.805 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 103.805 * [simplify]: Simplifying (sqrt 1) 103.805 * * [simplify]: iters left: 1 (2 enodes) 103.808 * * [simplify]: Extracting #0: cost 1 inf + 0 103.808 * * [simplify]: Extracting #1: cost 0 inf + 1 103.808 * [simplify]: Simplified to 1 103.808 * [simplify]: Simplified (2 1 2 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 (* (* (* (* 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)))) 103.808 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 103.808 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 103.808 * * [simplify]: iters left: 6 (16 enodes) 103.814 * * [simplify]: iters left: 5 (70 enodes) 103.830 * * [simplify]: iters left: 4 (176 enodes) 103.978 * * [simplify]: Extracting #0: cost 1 inf + 0 103.978 * * [simplify]: Extracting #1: cost 3 inf + 0 103.978 * * [simplify]: Extracting #2: cost 6 inf + 0 103.979 * * [simplify]: Extracting #3: cost 103 inf + 1 103.979 * * [simplify]: Extracting #4: cost 306 inf + 6 103.981 * * [simplify]: Extracting #5: cost 338 inf + 1810 103.985 * * [simplify]: Extracting #6: cost 242 inf + 27932 104.003 * * [simplify]: Extracting #7: cost 28 inf + 100762 104.048 * * [simplify]: Extracting #8: cost 0 inf + 110036 104.078 * [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))))))) 104.078 * [simplify]: Simplified (2 1 2 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 (+ 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)))) 104.078 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 104.079 * [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))) 104.079 * * [simplify]: iters left: 6 (15 enodes) 104.084 * * [simplify]: iters left: 5 (62 enodes) 104.101 * * [simplify]: iters left: 4 (150 enodes) 104.219 * * [simplify]: Extracting #0: cost 1 inf + 0 104.219 * * [simplify]: Extracting #1: cost 3 inf + 0 104.219 * * [simplify]: Extracting #2: cost 9 inf + 0 104.220 * * [simplify]: Extracting #3: cost 105 inf + 2 104.221 * * [simplify]: Extracting #4: cost 286 inf + 6 104.222 * * [simplify]: Extracting #5: cost 280 inf + 1923 104.229 * * [simplify]: Extracting #6: cost 191 inf + 25190 104.249 * * [simplify]: Extracting #7: cost 26 inf + 76271 104.267 * * [simplify]: Extracting #8: cost 0 inf + 85028 104.296 * [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)) 104.297 * [simplify]: Simplified (2 1 2 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))) (* (/ (/ 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)))) 104.297 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 104.297 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 104.297 * * [simplify]: iters left: 6 (12 enodes) 104.301 * * [simplify]: iters left: 5 (49 enodes) 104.310 * * [simplify]: iters left: 4 (102 enodes) 104.343 * * [simplify]: iters left: 3 (356 enodes) 104.569 * * [simplify]: Extracting #0: cost 1 inf + 0 104.569 * * [simplify]: Extracting #1: cost 4 inf + 0 104.569 * * [simplify]: Extracting #2: cost 116 inf + 1 104.570 * * [simplify]: Extracting #3: cost 234 inf + 254 104.572 * * [simplify]: Extracting #4: cost 192 inf + 4198 104.576 * * [simplify]: Extracting #5: cost 121 inf + 19235 104.592 * * [simplify]: Extracting #6: cost 5 inf + 46310 104.614 * * [simplify]: Extracting #7: cost 0 inf + 47117 104.629 * * [simplify]: Extracting #8: cost 0 inf + 46998 104.652 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 104.652 * [simplify]: Simplified (2 1 2 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 (* (* (* (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)))) 104.652 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 104.652 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 104.652 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 104.653 * * [simplify]: iters left: 6 (13 enodes) 104.657 * * [simplify]: iters left: 5 (52 enodes) 104.666 * * [simplify]: iters left: 4 (105 enodes) 104.707 * * [simplify]: iters left: 3 (359 enodes) 104.925 * * [simplify]: Extracting #0: cost 1 inf + 0 104.925 * * [simplify]: Extracting #1: cost 3 inf + 0 104.925 * * [simplify]: Extracting #2: cost 6 inf + 0 104.925 * * [simplify]: Extracting #3: cost 118 inf + 1 104.926 * * [simplify]: Extracting #4: cost 235 inf + 336 104.928 * * [simplify]: Extracting #5: cost 193 inf + 4402 104.932 * * [simplify]: Extracting #6: cost 119 inf + 19348 104.955 * * [simplify]: Extracting #7: cost 7 inf + 46040 104.981 * * [simplify]: Extracting #8: cost 0 inf + 47488 105.015 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 105.015 * [simplify]: Simplified (2 1 2 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 (* (* (* (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)))) 105.016 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 105.016 * * * * [progress]: [ 32 / 84 ] 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))))> 105.016 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 105.016 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 105.016 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 105.016 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 105.016 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 105.016 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 105.016 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 105.017 * [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)))) 105.017 * * [simplify]: iters left: 6 (15 enodes) 105.023 * * [simplify]: iters left: 5 (59 enodes) 105.033 * * [simplify]: iters left: 4 (112 enodes) 105.073 * * [simplify]: iters left: 3 (365 enodes) 105.373 * * [simplify]: Extracting #0: cost 1 inf + 0 105.373 * * [simplify]: Extracting #1: cost 4 inf + 0 105.373 * * [simplify]: Extracting #2: cost 7 inf + 0 105.373 * * [simplify]: Extracting #3: cost 10 inf + 0 105.374 * * [simplify]: Extracting #4: cost 122 inf + 1 105.375 * * [simplify]: Extracting #5: cost 241 inf + 89 105.376 * * [simplify]: Extracting #6: cost 203 inf + 3666 105.380 * * [simplify]: Extracting #7: cost 128 inf + 17960 105.399 * * [simplify]: Extracting #8: cost 13 inf + 45848 105.430 * * [simplify]: Extracting #9: cost 0 inf + 48961 105.460 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 105.461 * [simplify]: Simplified (2 1 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)))) 105.461 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 105.461 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 105.462 * * [simplify]: iters left: 6 (14 enodes) 105.469 * * [simplify]: iters left: 5 (55 enodes) 105.489 * * [simplify]: iters left: 4 (108 enodes) 105.546 * * [simplify]: iters left: 3 (363 enodes) 105.806 * * [simplify]: Extracting #0: cost 1 inf + 0 105.806 * * [simplify]: Extracting #1: cost 3 inf + 0 105.806 * * [simplify]: Extracting #2: cost 5 inf + 0 105.806 * * [simplify]: Extracting #3: cost 8 inf + 0 105.806 * * [simplify]: Extracting #4: cost 123 inf + 1 105.807 * * [simplify]: Extracting #5: cost 234 inf + 420 105.810 * * [simplify]: Extracting #6: cost 203 inf + 3175 105.819 * * [simplify]: Extracting #7: cost 127 inf + 18949 105.845 * * [simplify]: Extracting #8: cost 7 inf + 46860 105.875 * * [simplify]: Extracting #9: cost 0 inf + 48232 105.904 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 105.904 * [simplify]: Simplified (2 1 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)))) 105.905 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 105.905 * [simplify]: Simplifying (sqrt 1) 105.905 * * [simplify]: iters left: 1 (2 enodes) 105.909 * * [simplify]: Extracting #0: cost 1 inf + 0 105.909 * * [simplify]: Extracting #1: cost 0 inf + 1 105.909 * [simplify]: Simplified to 1 105.909 * [simplify]: Simplified (2 1 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)))) 105.909 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 105.910 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 105.910 * * [simplify]: iters left: 6 (16 enodes) 105.924 * * [simplify]: iters left: 5 (70 enodes) 105.954 * * [simplify]: iters left: 4 (176 enodes) 106.090 * * [simplify]: Extracting #0: cost 1 inf + 0 106.090 * * [simplify]: Extracting #1: cost 3 inf + 0 106.090 * * [simplify]: Extracting #2: cost 6 inf + 0 106.090 * * [simplify]: Extracting #3: cost 103 inf + 1 106.091 * * [simplify]: Extracting #4: cost 306 inf + 6 106.093 * * [simplify]: Extracting #5: cost 338 inf + 1810 106.101 * * [simplify]: Extracting #6: cost 242 inf + 27932 106.128 * * [simplify]: Extracting #7: cost 28 inf + 100762 106.162 * * [simplify]: Extracting #8: cost 0 inf + 110036 106.190 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 106.190 * [simplify]: Simplified (2 1 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)))) 106.190 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 106.191 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 106.191 * * [simplify]: iters left: 6 (15 enodes) 106.196 * * [simplify]: iters left: 5 (62 enodes) 106.208 * * [simplify]: iters left: 4 (150 enodes) 106.297 * * [simplify]: Extracting #0: cost 1 inf + 0 106.297 * * [simplify]: Extracting #1: cost 3 inf + 0 106.297 * * [simplify]: Extracting #2: cost 9 inf + 0 106.297 * * [simplify]: Extracting #3: cost 105 inf + 2 106.298 * * [simplify]: Extracting #4: cost 286 inf + 6 106.299 * * [simplify]: Extracting #5: cost 280 inf + 1923 106.304 * * [simplify]: Extracting #6: cost 191 inf + 25190 106.322 * * [simplify]: Extracting #7: cost 26 inf + 76271 106.345 * * [simplify]: Extracting #8: cost 0 inf + 85028 106.378 * [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)) 106.378 * [simplify]: Simplified (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))) (* (/ (/ 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)))) 106.379 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 106.379 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 106.379 * * [simplify]: iters left: 6 (12 enodes) 106.383 * * [simplify]: iters left: 5 (49 enodes) 106.393 * * [simplify]: iters left: 4 (102 enodes) 106.435 * * [simplify]: iters left: 3 (356 enodes) 106.667 * * [simplify]: Extracting #0: cost 1 inf + 0 106.667 * * [simplify]: Extracting #1: cost 4 inf + 0 106.668 * * [simplify]: Extracting #2: cost 116 inf + 1 106.670 * * [simplify]: Extracting #3: cost 234 inf + 254 106.673 * * [simplify]: Extracting #4: cost 192 inf + 4198 106.682 * * [simplify]: Extracting #5: cost 121 inf + 19235 106.698 * * [simplify]: Extracting #6: cost 5 inf + 46310 106.713 * * [simplify]: Extracting #7: cost 0 inf + 47117 106.740 * * [simplify]: Extracting #8: cost 0 inf + 46998 106.773 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 106.773 * [simplify]: Simplified (2 1 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)))) 106.773 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 106.773 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 106.774 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 106.774 * * [simplify]: iters left: 6 (13 enodes) 106.781 * * [simplify]: iters left: 5 (52 enodes) 106.799 * * [simplify]: iters left: 4 (105 enodes) 106.846 * * [simplify]: iters left: 3 (359 enodes) 107.156 * * [simplify]: Extracting #0: cost 1 inf + 0 107.156 * * [simplify]: Extracting #1: cost 3 inf + 0 107.156 * * [simplify]: Extracting #2: cost 6 inf + 0 107.156 * * [simplify]: Extracting #3: cost 118 inf + 1 107.157 * * [simplify]: Extracting #4: cost 235 inf + 336 107.159 * * [simplify]: Extracting #5: cost 193 inf + 4402 107.163 * * [simplify]: Extracting #6: cost 119 inf + 19348 107.179 * * [simplify]: Extracting #7: cost 7 inf + 46040 107.196 * * [simplify]: Extracting #8: cost 0 inf + 47488 107.225 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 107.225 * [simplify]: Simplified (2 1 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)))) 107.225 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 107.225 * * * * [progress]: [ 48 / 84 ] 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))))> 107.225 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 107.226 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 107.226 * * [simplify]: iters left: 6 (17 enodes) 107.236 * * [simplify]: iters left: 5 (70 enodes) 107.257 * * [simplify]: iters left: 4 (145 enodes) 107.308 * * [simplify]: iters left: 3 (435 enodes) 107.571 * * [simplify]: Extracting #0: cost 1 inf + 0 107.571 * * [simplify]: Extracting #1: cost 16 inf + 0 107.572 * * [simplify]: Extracting #2: cost 28 inf + 2 107.572 * * [simplify]: Extracting #3: cost 33 inf + 44 107.572 * * [simplify]: Extracting #4: cost 142 inf + 89 107.574 * * [simplify]: Extracting #5: cost 238 inf + 3391 107.582 * * [simplify]: Extracting #6: cost 74 inf + 36414 107.618 * * [simplify]: Extracting #7: cost 1 inf + 54199 107.636 * * [simplify]: Extracting #8: cost 0 inf + 54240 107.658 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 107.658 * [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 (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)))) 107.658 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 107.659 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 107.659 * * [simplify]: iters left: 6 (17 enodes) 107.669 * * [simplify]: iters left: 5 (70 enodes) 107.687 * * [simplify]: iters left: 4 (145 enodes) 107.736 * * [simplify]: iters left: 3 (435 enodes) 108.008 * * [simplify]: Extracting #0: cost 1 inf + 0 108.008 * * [simplify]: Extracting #1: cost 16 inf + 0 108.008 * * [simplify]: Extracting #2: cost 28 inf + 2 108.008 * * [simplify]: Extracting #3: cost 33 inf + 44 108.008 * * [simplify]: Extracting #4: cost 142 inf + 89 108.010 * * [simplify]: Extracting #5: cost 238 inf + 3391 108.024 * * [simplify]: Extracting #6: cost 74 inf + 36414 108.043 * * [simplify]: Extracting #7: cost 1 inf + 54199 108.063 * * [simplify]: Extracting #8: cost 0 inf + 54240 108.084 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 108.084 * [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 (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)))) 108.084 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 108.085 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 108.085 * * [simplify]: iters left: 6 (17 enodes) 108.090 * * [simplify]: iters left: 5 (70 enodes) 108.103 * * [simplify]: iters left: 4 (145 enodes) 108.140 * * [simplify]: iters left: 3 (435 enodes) 108.364 * * [simplify]: Extracting #0: cost 1 inf + 0 108.364 * * [simplify]: Extracting #1: cost 16 inf + 0 108.364 * * [simplify]: Extracting #2: cost 28 inf + 2 108.364 * * [simplify]: Extracting #3: cost 33 inf + 44 108.364 * * [simplify]: Extracting #4: cost 142 inf + 89 108.366 * * [simplify]: Extracting #5: cost 238 inf + 3391 108.380 * * [simplify]: Extracting #6: cost 74 inf + 36414 108.413 * * [simplify]: Extracting #7: cost 1 inf + 54199 108.447 * * [simplify]: Extracting #8: cost 0 inf + 54240 108.481 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 108.481 * [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 (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)))) 108.481 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 108.481 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 108.482 * [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)) 108.482 * * [simplify]: iters left: 6 (21 enodes) 108.494 * * [simplify]: iters left: 5 (83 enodes) 108.521 * * [simplify]: iters left: 4 (160 enodes) 108.566 * * [simplify]: iters left: 3 (452 enodes) 108.866 * * [simplify]: Extracting #0: cost 1 inf + 0 108.867 * * [simplify]: Extracting #1: cost 16 inf + 0 108.867 * * [simplify]: Extracting #2: cost 34 inf + 0 108.867 * * [simplify]: Extracting #3: cost 35 inf + 73 108.867 * * [simplify]: Extracting #4: cost 36 inf + 650 108.868 * * [simplify]: Extracting #5: cost 148 inf + 653 108.869 * * [simplify]: Extracting #6: cost 240 inf + 4224 108.880 * * [simplify]: Extracting #7: cost 51 inf + 45161 108.898 * * [simplify]: Extracting #8: cost 0 inf + 60020 108.928 * * [simplify]: Extracting #9: cost 0 inf + 59902 108.948 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 108.948 * [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 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)))))) 108.949 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 108.949 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 108.949 * * [simplify]: iters left: 6 (20 enodes) 108.955 * * [simplify]: iters left: 5 (81 enodes) 108.971 * * [simplify]: iters left: 4 (153 enodes) 109.015 * * [simplify]: iters left: 3 (439 enodes) 109.344 * * [simplify]: Extracting #0: cost 1 inf + 0 109.344 * * [simplify]: Extracting #1: cost 16 inf + 0 109.344 * * [simplify]: Extracting #2: cost 35 inf + 0 109.345 * * [simplify]: Extracting #3: cost 38 inf + 2 109.345 * * [simplify]: Extracting #4: cost 41 inf + 326 109.346 * * [simplify]: Extracting #5: cost 145 inf + 653 109.349 * * [simplify]: Extracting #6: cost 244 inf + 3656 109.365 * * [simplify]: Extracting #7: cost 77 inf + 37290 109.395 * * [simplify]: Extracting #8: cost 3 inf + 58370 109.414 * * [simplify]: Extracting #9: cost 0 inf + 59855 109.447 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 109.448 * [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 (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))))))) 109.448 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 109.448 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 109.449 * * [simplify]: iters left: 6 (19 enodes) 109.459 * * [simplify]: iters left: 5 (78 enodes) 109.473 * * [simplify]: iters left: 4 (154 enodes) 109.528 * * [simplify]: iters left: 3 (439 enodes) 109.817 * * [simplify]: Extracting #0: cost 1 inf + 0 109.817 * * [simplify]: Extracting #1: cost 25 inf + 0 109.818 * * [simplify]: Extracting #2: cost 45 inf + 0 109.818 * * [simplify]: Extracting #3: cost 51 inf + 2 109.818 * * [simplify]: Extracting #4: cost 54 inf + 286 109.819 * * [simplify]: Extracting #5: cost 161 inf + 471 109.823 * * [simplify]: Extracting #6: cost 250 inf + 5584 109.842 * * [simplify]: Extracting #7: cost 59 inf + 46973 109.876 * * [simplify]: Extracting #8: cost 11 inf + 59184 109.913 * * [simplify]: Extracting #9: cost 0 inf + 65218 109.956 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 109.956 * [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)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) 109.957 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 109.957 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 109.957 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 109.957 * [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)) 109.958 * * [simplify]: iters left: 6 (25 enodes) 109.972 * * [simplify]: iters left: 5 (106 enodes) 110.003 * * [simplify]: iters left: 4 (294 enodes) 110.180 * * [simplify]: Extracting #0: cost 1 inf + 0 110.180 * * [simplify]: Extracting #1: cost 67 inf + 0 110.181 * * [simplify]: Extracting #2: cost 298 inf + 45 110.182 * * [simplify]: Extracting #3: cost 398 inf + 499 110.187 * * [simplify]: Extracting #4: cost 356 inf + 24063 110.237 * * [simplify]: Extracting #5: cost 102 inf + 115031 110.291 * * [simplify]: Extracting #6: cost 1 inf + 163077 110.363 * * [simplify]: Extracting #7: cost 0 inf + 163502 110.434 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 110.434 * [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) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)))))) 110.435 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 110.435 * [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)) 110.435 * * [simplify]: iters left: 6 (23 enodes) 110.450 * * [simplify]: iters left: 5 (106 enodes) 110.480 * * [simplify]: iters left: 4 (274 enodes) 110.589 * * [simplify]: Extracting #0: cost 1 inf + 0 110.590 * * [simplify]: Extracting #1: cost 52 inf + 0 110.591 * * [simplify]: Extracting #2: cost 236 inf + 2 110.593 * * [simplify]: Extracting #3: cost 253 inf + 300 110.596 * * [simplify]: Extracting #4: cost 277 inf + 4264 110.607 * * [simplify]: Extracting #5: cost 262 inf + 26694 110.660 * * [simplify]: Extracting #6: cost 57 inf + 109963 110.716 * * [simplify]: Extracting #7: cost 0 inf + 132238 110.776 * * [simplify]: Extracting #8: cost 0 inf + 131870 110.817 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 110.817 * [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)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))))) 110.818 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 110.818 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 110.818 * * [simplify]: iters left: 6 (21 enodes) 110.825 * * [simplify]: iters left: 5 (96 enodes) 110.859 * * [simplify]: iters left: 4 (277 enodes) 111.035 * * [simplify]: Extracting #0: cost 1 inf + 0 111.036 * * [simplify]: Extracting #1: cost 49 inf + 0 111.037 * * [simplify]: Extracting #2: cost 229 inf + 43 111.039 * * [simplify]: Extracting #3: cost 246 inf + 373 111.042 * * [simplify]: Extracting #4: cost 275 inf + 3570 111.053 * * [simplify]: Extracting #5: cost 247 inf + 31854 111.084 * * [simplify]: Extracting #6: cost 56 inf + 108672 111.145 * * [simplify]: Extracting #7: cost 0 inf + 132856 111.221 * * [simplify]: Extracting #8: cost 0 inf + 132816 111.299 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 111.300 * [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 (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))))))) 111.300 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 111.300 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 111.300 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 111.301 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 111.301 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 111.301 * [simplify]: Simplifying (cbrt J) 111.301 * * [simplify]: iters left: 1 (2 enodes) 111.302 * * [simplify]: Extracting #0: cost 1 inf + 0 111.302 * * [simplify]: Extracting #1: cost 3 inf + 0 111.302 * * [simplify]: Extracting #2: cost 2 inf + 1 111.302 * * [simplify]: Extracting #3: cost 0 inf + 163 111.302 * [simplify]: Simplified to (cbrt J) 111.302 * [simplify]: Simplified (2 2 1 2) 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)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))))) 111.303 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 111.303 * [simplify]: Simplifying (sqrt J) 111.303 * * [simplify]: iters left: 1 (2 enodes) 111.304 * * [simplify]: Extracting #0: cost 1 inf + 0 111.304 * * [simplify]: Extracting #1: cost 3 inf + 0 111.304 * * [simplify]: Extracting #2: cost 2 inf + 1 111.304 * * [simplify]: Extracting #3: cost 0 inf + 83 111.304 * [simplify]: Simplified to (sqrt J) 111.304 * [simplify]: Simplified (2 2 1 2) 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)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J))))) 111.304 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 111.304 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 111.305 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 111.305 * * [simplify]: iters left: 6 (15 enodes) 111.313 * * [simplify]: iters left: 5 (59 enodes) 111.329 * * [simplify]: iters left: 4 (112 enodes) 111.360 * * [simplify]: iters left: 3 (365 enodes) 111.606 * * [simplify]: Extracting #0: cost 1 inf + 0 111.606 * * [simplify]: Extracting #1: cost 4 inf + 0 111.606 * * [simplify]: Extracting #2: cost 5 inf + 1 111.606 * * [simplify]: Extracting #3: cost 8 inf + 1 111.606 * * [simplify]: Extracting #4: cost 121 inf + 2 111.607 * * [simplify]: Extracting #5: cost 237 inf + 214 111.609 * * [simplify]: Extracting #6: cost 202 inf + 3502 111.615 * * [simplify]: Extracting #7: cost 112 inf + 21265 111.640 * * [simplify]: Extracting #8: cost 11 inf + 45496 111.656 * * [simplify]: Extracting #9: cost 0 inf + 47914 111.671 * * [simplify]: Extracting #10: cost 0 inf + 47913 111.689 * * [simplify]: Extracting #11: cost 0 inf + 47912 111.717 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 111.717 * [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 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J))))) 111.717 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 111.717 * [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) 111.717 * * [simplify]: iters left: 6 (20 enodes) 111.724 * * [simplify]: iters left: 5 (88 enodes) 111.744 * * [simplify]: iters left: 4 (218 enodes) 111.853 * * [simplify]: Extracting #0: cost 1 inf + 0 111.853 * * [simplify]: Extracting #1: cost 17 inf + 0 111.854 * * [simplify]: Extracting #2: cost 29 inf + 2 111.854 * * [simplify]: Extracting #3: cost 33 inf + 86 111.854 * * [simplify]: Extracting #4: cost 126 inf + 89 111.856 * * [simplify]: Extracting #5: cost 327 inf + 1396 111.873 * * [simplify]: Extracting #6: cost 253 inf + 34932 111.910 * * [simplify]: Extracting #7: cost 71 inf + 99693 111.966 * * [simplify]: Extracting #8: cost 0 inf + 125482 112.022 * * [simplify]: Extracting #9: cost 0 inf + 125231 112.067 * * [simplify]: Extracting #10: cost 0 inf + 125151 112.100 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 112.100 * [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 (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) 112.101 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 112.101 * [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) 112.102 * * [simplify]: iters left: 6 (19 enodes) 112.113 * * [simplify]: iters left: 5 (80 enodes) 112.132 * * [simplify]: iters left: 4 (192 enodes) 112.233 * * [simplify]: Extracting #0: cost 1 inf + 0 112.233 * * [simplify]: Extracting #1: cost 17 inf + 0 112.233 * * [simplify]: Extracting #2: cost 29 inf + 2 112.233 * * [simplify]: Extracting #3: cost 36 inf + 86 112.234 * * [simplify]: Extracting #4: cost 126 inf + 90 112.236 * * [simplify]: Extracting #5: cost 297 inf + 2114 112.253 * * [simplify]: Extracting #6: cost 134 inf + 53340 112.285 * * [simplify]: Extracting #7: cost 4 inf + 93126 112.307 * * [simplify]: Extracting #8: cost 0 inf + 94242 112.342 * * [simplify]: Extracting #9: cost 0 inf + 94164 112.388 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 112.388 * [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) (* (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)))))) 112.388 * * * * [progress]: [ 71 / 84 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))))> 112.389 * * * * [progress]: [ 72 / 84 ] simplifiying candidate # 112.389 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 112.389 * [simplify]: Simplifying 1 112.389 * * [simplify]: iters left: 0 (1 enodes) 112.391 * * [simplify]: Extracting #0: cost 1 inf + 0 112.391 * * [simplify]: Extracting #1: cost 0 inf + 1 112.391 * [simplify]: Simplified to 1 112.391 * [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 -2) (cos (/ K 2))) J)))) 112.391 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 112.392 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 112.392 * * [simplify]: iters left: 6 (9 enodes) 112.396 * * [simplify]: iters left: 5 (34 enodes) 112.402 * * [simplify]: iters left: 4 (56 enodes) 112.411 * * [simplify]: iters left: 3 (90 enodes) 112.425 * * [simplify]: iters left: 2 (114 enodes) 112.453 * * [simplify]: iters left: 1 (131 enodes) 112.474 * * [simplify]: Extracting #0: cost 1 inf + 0 112.474 * * [simplify]: Extracting #1: cost 22 inf + 0 112.474 * * [simplify]: Extracting #2: cost 37 inf + 3 112.474 * * [simplify]: Extracting #3: cost 31 inf + 380 112.474 * * [simplify]: Extracting #4: cost 17 inf + 1834 112.475 * * [simplify]: Extracting #5: cost 3 inf + 4117 112.477 * * [simplify]: Extracting #6: cost 0 inf + 4586 112.480 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 112.480 * [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 (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)))) 112.480 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 112.481 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 112.481 * * [simplify]: iters left: 6 (9 enodes) 112.485 * * [simplify]: iters left: 5 (34 enodes) 112.496 * * [simplify]: iters left: 4 (56 enodes) 112.507 * * [simplify]: iters left: 3 (90 enodes) 112.520 * * [simplify]: iters left: 2 (114 enodes) 112.553 * * [simplify]: iters left: 1 (131 enodes) 112.581 * * [simplify]: Extracting #0: cost 1 inf + 0 112.581 * * [simplify]: Extracting #1: cost 22 inf + 0 112.581 * * [simplify]: Extracting #2: cost 37 inf + 3 112.582 * * [simplify]: Extracting #3: cost 31 inf + 380 112.582 * * [simplify]: Extracting #4: cost 17 inf + 1834 112.583 * * [simplify]: Extracting #5: cost 3 inf + 4117 112.584 * * [simplify]: Extracting #6: cost 0 inf + 4586 112.585 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 112.585 * [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 (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)))) 112.585 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 112.586 * [simplify]: Simplifying 1 112.586 * * [simplify]: iters left: 0 (1 enodes) 112.586 * * [simplify]: Extracting #0: cost 1 inf + 0 112.586 * * [simplify]: Extracting #1: cost 0 inf + 1 112.587 * [simplify]: Simplified to 1 112.587 * [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 -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)))) 112.587 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 112.587 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 112.587 * * [simplify]: iters left: 6 (9 enodes) 112.589 * * [simplify]: iters left: 5 (34 enodes) 112.595 * * [simplify]: iters left: 4 (56 enodes) 112.613 * * [simplify]: iters left: 3 (90 enodes) 112.639 * * [simplify]: iters left: 2 (114 enodes) 112.667 * * [simplify]: iters left: 1 (131 enodes) 112.700 * * [simplify]: Extracting #0: cost 1 inf + 0 112.700 * * [simplify]: Extracting #1: cost 22 inf + 0 112.700 * * [simplify]: Extracting #2: cost 37 inf + 3 112.701 * * [simplify]: Extracting #3: cost 31 inf + 380 112.701 * * [simplify]: Extracting #4: cost 17 inf + 1834 112.703 * * [simplify]: Extracting #5: cost 3 inf + 4117 112.705 * * [simplify]: Extracting #6: cost 0 inf + 4586 112.707 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 112.707 * [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 (* (* (* (/ (/ 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)))) 112.708 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 112.708 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 112.708 * * [simplify]: iters left: 6 (9 enodes) 112.713 * * [simplify]: iters left: 5 (34 enodes) 112.724 * * [simplify]: iters left: 4 (56 enodes) 112.742 * * [simplify]: iters left: 3 (90 enodes) 112.768 * * [simplify]: iters left: 2 (114 enodes) 112.800 * * [simplify]: iters left: 1 (131 enodes) 112.839 * * [simplify]: Extracting #0: cost 1 inf + 0 112.839 * * [simplify]: Extracting #1: cost 22 inf + 0 112.839 * * [simplify]: Extracting #2: cost 37 inf + 3 112.840 * * [simplify]: Extracting #3: cost 31 inf + 380 112.840 * * [simplify]: Extracting #4: cost 17 inf + 1834 112.843 * * [simplify]: Extracting #5: cost 3 inf + 4117 112.845 * * [simplify]: Extracting #6: cost 0 inf + 4586 112.847 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 112.847 * [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 (* (* (* (/ (/ 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)))) 112.847 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 112.848 * [simplify]: Simplifying 1 112.848 * * [simplify]: iters left: 0 (1 enodes) 112.849 * * [simplify]: Extracting #0: cost 1 inf + 0 112.849 * * [simplify]: Extracting #1: cost 0 inf + 1 112.849 * [simplify]: Simplified to 1 112.849 * [simplify]: Simplified (2 1 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)))) 112.849 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 112.849 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 112.850 * * [simplify]: iters left: 6 (9 enodes) 112.854 * * [simplify]: iters left: 5 (34 enodes) 112.865 * * [simplify]: iters left: 4 (56 enodes) 112.882 * * [simplify]: iters left: 3 (90 enodes) 112.897 * * [simplify]: iters left: 2 (114 enodes) 112.916 * * [simplify]: iters left: 1 (131 enodes) 112.955 * * [simplify]: Extracting #0: cost 1 inf + 0 112.955 * * [simplify]: Extracting #1: cost 22 inf + 0 112.955 * * [simplify]: Extracting #2: cost 37 inf + 3 112.956 * * [simplify]: Extracting #3: cost 31 inf + 380 112.957 * * [simplify]: Extracting #4: cost 17 inf + 1834 112.958 * * [simplify]: Extracting #5: cost 3 inf + 4117 112.960 * * [simplify]: Extracting #6: cost 0 inf + 4586 112.962 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 112.963 * [simplify]: Simplified (2 1 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)))) 112.963 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 112.963 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 112.963 * * [simplify]: iters left: 6 (9 enodes) 112.968 * * [simplify]: iters left: 5 (34 enodes) 112.974 * * [simplify]: iters left: 4 (56 enodes) 112.983 * * [simplify]: iters left: 3 (90 enodes) 112.999 * * [simplify]: iters left: 2 (114 enodes) 113.024 * * [simplify]: iters left: 1 (131 enodes) 113.045 * * [simplify]: Extracting #0: cost 1 inf + 0 113.045 * * [simplify]: Extracting #1: cost 22 inf + 0 113.046 * * [simplify]: Extracting #2: cost 37 inf + 3 113.046 * * [simplify]: Extracting #3: cost 31 inf + 380 113.047 * * [simplify]: Extracting #4: cost 17 inf + 1834 113.049 * * [simplify]: Extracting #5: cost 3 inf + 4117 113.051 * * [simplify]: Extracting #6: cost 0 inf + 4586 113.053 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 113.053 * [simplify]: Simplified (2 1 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)))) 113.054 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 113.054 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 113.054 * * [simplify]: iters left: 6 (10 enodes) 113.061 * * [simplify]: iters left: 5 (43 enodes) 113.076 * * [simplify]: iters left: 4 (79 enodes) 113.101 * * [simplify]: iters left: 3 (118 enodes) 113.136 * * [simplify]: iters left: 2 (171 enodes) 113.171 * * [simplify]: iters left: 1 (242 enodes) 113.245 * * [simplify]: Extracting #0: cost 1 inf + 0 113.245 * * [simplify]: Extracting #1: cost 6 inf + 0 113.245 * * [simplify]: Extracting #2: cost 41 inf + 0 113.246 * * [simplify]: Extracting #3: cost 56 inf + 213 113.248 * * [simplify]: Extracting #4: cost 20 inf + 2732 113.250 * * [simplify]: Extracting #5: cost 1 inf + 4576 113.254 * * [simplify]: Extracting #6: cost 0 inf + 4698 113.257 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 113.257 * [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)))))) 113.257 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 113.258 * [simplify]: Simplifying (* -1 U) 113.258 * * [simplify]: iters left: 2 (3 enodes) 113.260 * * [simplify]: iters left: 1 (11 enodes) 113.263 * * [simplify]: Extracting #0: cost 1 inf + 0 113.263 * * [simplify]: Extracting #1: cost 4 inf + 0 113.263 * * [simplify]: Extracting #2: cost 0 inf + 84 113.264 * [simplify]: Simplified to (- U) 113.264 * [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)))) 113.264 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 113.264 * [simplify]: Simplifying (* -1 U) 113.264 * * [simplify]: iters left: 2 (3 enodes) 113.266 * * [simplify]: iters left: 1 (11 enodes) 113.269 * * [simplify]: Extracting #0: cost 1 inf + 0 113.269 * * [simplify]: Extracting #1: cost 4 inf + 0 113.270 * * [simplify]: Extracting #2: cost 0 inf + 84 113.270 * [simplify]: Simplified to (- U) 113.270 * [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)))) 113.270 * * * [progress]: adding candidates to table 114.892 * * [progress]: iteration 4 / 4 114.892 * * * [progress]: picking best candidate 114.918 * * * * [pick]: Picked # 114.918 * * * [progress]: localizing error 114.973 * * * [progress]: generating rewritten candidates 114.973 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 115.448 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 116.781 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 121.741 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 121.746 * * * [progress]: generating series expansions 121.746 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 121.746 * [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)) 121.746 * [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 0 121.746 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 121.746 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 121.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 121.747 * [taylor]: Taking taylor expansion of 1/4 in J 121.747 * [backup-simplify]: Simplify 1/4 into 1/4 121.747 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 121.747 * [taylor]: Taking taylor expansion of (pow U 2) in J 121.747 * [taylor]: Taking taylor expansion of U in J 121.747 * [backup-simplify]: Simplify U into U 121.747 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 121.747 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 121.747 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 121.747 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 121.747 * [taylor]: Taking taylor expansion of 1/2 in J 121.747 * [backup-simplify]: Simplify 1/2 into 1/2 121.747 * [taylor]: Taking taylor expansion of K in J 121.747 * [backup-simplify]: Simplify K into K 121.747 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.747 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.747 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.747 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 121.747 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 121.748 * [backup-simplify]: Simplify (- 0) into 0 121.748 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 121.748 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.748 * [taylor]: Taking taylor expansion of J in J 121.748 * [backup-simplify]: Simplify 0 into 0 121.748 * [backup-simplify]: Simplify 1 into 1 121.748 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 121.749 * [backup-simplify]: Simplify (* 1 1) into 1 121.749 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 121.749 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 121.749 * [taylor]: Taking taylor expansion of 1 in J 121.749 * [backup-simplify]: Simplify 1 into 1 121.750 * [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))) 121.750 * [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))) 121.750 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 121.750 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 121.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.751 * [backup-simplify]: Simplify (+ 0) into 0 121.752 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 121.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 121.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.754 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 121.754 * [backup-simplify]: Simplify (- 0) into 0 121.755 * [backup-simplify]: Simplify (+ 0 0) into 0 121.755 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 121.756 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 121.756 * [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 0 121.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 121.758 * [backup-simplify]: Simplify (+ 0 0) into 0 121.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 121.758 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 121.758 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 121.758 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 121.758 * [taylor]: Taking taylor expansion of 1/4 in K 121.758 * [backup-simplify]: Simplify 1/4 into 1/4 121.758 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 121.758 * [taylor]: Taking taylor expansion of (pow U 2) in K 121.758 * [taylor]: Taking taylor expansion of U in K 121.758 * [backup-simplify]: Simplify U into U 121.758 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 121.758 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 121.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 121.758 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 121.758 * [taylor]: Taking taylor expansion of 1/2 in K 121.758 * [backup-simplify]: Simplify 1/2 into 1/2 121.758 * [taylor]: Taking taylor expansion of K in K 121.758 * [backup-simplify]: Simplify 0 into 0 121.759 * [backup-simplify]: Simplify 1 into 1 121.759 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.760 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 121.760 * [taylor]: Taking taylor expansion of (pow J 2) in K 121.760 * [taylor]: Taking taylor expansion of J in K 121.760 * [backup-simplify]: Simplify J into J 121.760 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.760 * [backup-simplify]: Simplify (* 1 1) into 1 121.760 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.760 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 121.761 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 121.761 * [taylor]: Taking taylor expansion of 1 in K 121.761 * [backup-simplify]: Simplify 1 into 1 121.761 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 121.761 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 121.761 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 121.761 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 121.761 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.762 * [backup-simplify]: Simplify (+ 0) into 0 121.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 121.763 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 121.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 121.764 * [backup-simplify]: Simplify (+ 0 0) into 0 121.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 121.765 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 121.765 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 121.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 121.765 * [taylor]: Taking taylor expansion of 1/4 in U 121.765 * [backup-simplify]: Simplify 1/4 into 1/4 121.765 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 121.765 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.765 * [taylor]: Taking taylor expansion of U in U 121.765 * [backup-simplify]: Simplify 0 into 0 121.765 * [backup-simplify]: Simplify 1 into 1 121.765 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 121.765 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 121.765 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 121.765 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 121.765 * [taylor]: Taking taylor expansion of 1/2 in U 121.765 * [backup-simplify]: Simplify 1/2 into 1/2 121.765 * [taylor]: Taking taylor expansion of K in U 121.765 * [backup-simplify]: Simplify K into K 121.765 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.765 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.765 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.765 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 121.766 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 121.766 * [backup-simplify]: Simplify (- 0) into 0 121.766 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 121.766 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.766 * [taylor]: Taking taylor expansion of J in U 121.766 * [backup-simplify]: Simplify J into J 121.766 * [backup-simplify]: Simplify (* 1 1) into 1 121.767 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 121.767 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.767 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 121.767 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 121.767 * [taylor]: Taking taylor expansion of 1 in U 121.767 * [backup-simplify]: Simplify 1 into 1 121.768 * [backup-simplify]: Simplify (+ 0 1) into 1 121.768 * [backup-simplify]: Simplify (sqrt 1) into 1 121.768 * [backup-simplify]: Simplify (+ 0 0) into 0 121.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 121.769 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 121.769 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 121.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 121.769 * [taylor]: Taking taylor expansion of 1/4 in U 121.769 * [backup-simplify]: Simplify 1/4 into 1/4 121.769 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 121.769 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.769 * [taylor]: Taking taylor expansion of U in U 121.769 * [backup-simplify]: Simplify 0 into 0 121.769 * [backup-simplify]: Simplify 1 into 1 121.769 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 121.769 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 121.769 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 121.769 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 121.769 * [taylor]: Taking taylor expansion of 1/2 in U 121.770 * [backup-simplify]: Simplify 1/2 into 1/2 121.770 * [taylor]: Taking taylor expansion of K in U 121.770 * [backup-simplify]: Simplify K into K 121.770 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.770 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.770 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.770 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 121.770 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 121.770 * [backup-simplify]: Simplify (- 0) into 0 121.770 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 121.770 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.770 * [taylor]: Taking taylor expansion of J in U 121.770 * [backup-simplify]: Simplify J into J 121.771 * [backup-simplify]: Simplify (* 1 1) into 1 121.771 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 121.771 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.771 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 121.771 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 121.771 * [taylor]: Taking taylor expansion of 1 in U 121.771 * [backup-simplify]: Simplify 1 into 1 121.772 * [backup-simplify]: Simplify (+ 0 1) into 1 121.772 * [backup-simplify]: Simplify (sqrt 1) into 1 121.773 * [backup-simplify]: Simplify (+ 0 0) into 0 121.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 121.773 * [taylor]: Taking taylor expansion of 1 in K 121.774 * [backup-simplify]: Simplify 1 into 1 121.774 * [taylor]: Taking taylor expansion of 1 in J 121.774 * [backup-simplify]: Simplify 1 into 1 121.774 * [taylor]: Taking taylor expansion of 0 in K 121.774 * [backup-simplify]: Simplify 0 into 0 121.774 * [taylor]: Taking taylor expansion of 0 in J 121.774 * [backup-simplify]: Simplify 0 into 0 121.774 * [taylor]: Taking taylor expansion of 0 in J 121.774 * [backup-simplify]: Simplify 0 into 0 121.774 * [backup-simplify]: Simplify 1 into 1 121.774 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 121.774 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 121.776 * [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))) 121.776 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 121.776 * [taylor]: Taking taylor expansion of 1/8 in K 121.776 * [backup-simplify]: Simplify 1/8 into 1/8 121.776 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 121.776 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 121.776 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 121.776 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 121.776 * [taylor]: Taking taylor expansion of 1/2 in K 121.776 * [backup-simplify]: Simplify 1/2 into 1/2 121.776 * [taylor]: Taking taylor expansion of K in K 121.776 * [backup-simplify]: Simplify 0 into 0 121.776 * [backup-simplify]: Simplify 1 into 1 121.776 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.777 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 121.777 * [taylor]: Taking taylor expansion of (pow J 2) in K 121.777 * [taylor]: Taking taylor expansion of J in K 121.777 * [backup-simplify]: Simplify J into J 121.778 * [backup-simplify]: Simplify (* 1 1) into 1 121.778 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.778 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 121.778 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 121.778 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 121.778 * [taylor]: Taking taylor expansion of 1/8 in J 121.778 * [backup-simplify]: Simplify 1/8 into 1/8 121.778 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.778 * [taylor]: Taking taylor expansion of J in J 121.778 * [backup-simplify]: Simplify 0 into 0 121.778 * [backup-simplify]: Simplify 1 into 1 121.779 * [backup-simplify]: Simplify (* 1 1) into 1 121.779 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 121.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 121.780 * [backup-simplify]: Simplify 0 into 0 121.781 * [taylor]: Taking taylor expansion of 0 in J 121.781 * [backup-simplify]: Simplify 0 into 0 121.781 * [taylor]: Taking taylor expansion of 0 in J 121.781 * [backup-simplify]: Simplify 0 into 0 121.781 * [backup-simplify]: Simplify 0 into 0 121.781 * [backup-simplify]: Simplify 0 into 0 121.781 * [backup-simplify]: Simplify 0 into 0 121.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.782 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.782 * [backup-simplify]: Simplify (+ 0) into 0 121.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 121.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 121.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.784 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 121.784 * [backup-simplify]: Simplify (- 0) into 0 121.785 * [backup-simplify]: Simplify (+ 0 0) into 0 121.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 121.785 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 121.786 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 121.786 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 121.787 * [backup-simplify]: Simplify (+ 0 0) into 0 121.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 121.788 * [taylor]: Taking taylor expansion of 0 in K 121.788 * [backup-simplify]: Simplify 0 into 0 121.788 * [taylor]: Taking taylor expansion of 0 in J 121.788 * [backup-simplify]: Simplify 0 into 0 121.788 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.788 * [backup-simplify]: Simplify (+ 0) into 0 121.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 121.789 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 121.790 * [taylor]: Taking taylor expansion of 0 in J 121.790 * [backup-simplify]: Simplify 0 into 0 121.790 * [taylor]: Taking taylor expansion of 0 in J 121.790 * [backup-simplify]: Simplify 0 into 0 121.790 * [taylor]: Taking taylor expansion of 0 in J 121.790 * [backup-simplify]: Simplify 0 into 0 121.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 121.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 121.794 * [backup-simplify]: Simplify 0 into 0 121.795 * [backup-simplify]: Simplify 0 into 0 121.795 * [backup-simplify]: Simplify 1 into 1 121.795 * [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)) 121.795 * [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 0 121.795 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 121.795 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 121.795 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 121.795 * [taylor]: Taking taylor expansion of 1/4 in J 121.795 * [backup-simplify]: Simplify 1/4 into 1/4 121.796 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 121.796 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.796 * [taylor]: Taking taylor expansion of J in J 121.796 * [backup-simplify]: Simplify 0 into 0 121.796 * [backup-simplify]: Simplify 1 into 1 121.796 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 121.796 * [taylor]: Taking taylor expansion of (pow U 2) in J 121.796 * [taylor]: Taking taylor expansion of U in J 121.796 * [backup-simplify]: Simplify U into U 121.796 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 121.796 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 121.796 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 121.796 * [taylor]: Taking taylor expansion of 1/2 in J 121.796 * [backup-simplify]: Simplify 1/2 into 1/2 121.796 * [taylor]: Taking taylor expansion of K in J 121.796 * [backup-simplify]: Simplify K into K 121.796 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 121.796 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.796 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 121.796 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 121.796 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 121.797 * [backup-simplify]: Simplify (- 0) into 0 121.797 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 121.797 * [backup-simplify]: Simplify (* 1 1) into 1 121.797 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.798 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 121.798 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 121.798 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 121.798 * [taylor]: Taking taylor expansion of 1 in J 121.798 * [backup-simplify]: Simplify 1 into 1 121.798 * [backup-simplify]: Simplify (+ 0 1) into 1 121.799 * [backup-simplify]: Simplify (sqrt 1) into 1 121.799 * [backup-simplify]: Simplify (+ 0 0) into 0 121.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 121.800 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 121.800 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 121.800 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 121.800 * [taylor]: Taking taylor expansion of 1/4 in K 121.800 * [backup-simplify]: Simplify 1/4 into 1/4 121.800 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 121.800 * [taylor]: Taking taylor expansion of (pow J 2) in K 121.800 * [taylor]: Taking taylor expansion of J in K 121.800 * [backup-simplify]: Simplify J into J 121.800 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 121.800 * [taylor]: Taking taylor expansion of (pow U 2) in K 121.800 * [taylor]: Taking taylor expansion of U in K 121.800 * [backup-simplify]: Simplify U into U 121.801 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 121.801 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 121.801 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 121.801 * [taylor]: Taking taylor expansion of 1/2 in K 121.801 * [backup-simplify]: Simplify 1/2 into 1/2 121.801 * [taylor]: Taking taylor expansion of K in K 121.801 * [backup-simplify]: Simplify 0 into 0 121.801 * [backup-simplify]: Simplify 1 into 1 121.801 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 121.801 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.801 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.802 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.802 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 121.802 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 121.802 * [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))) 121.802 * [taylor]: Taking taylor expansion of 1 in K 121.802 * [backup-simplify]: Simplify 1 into 1 121.802 * [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)))) 121.803 * [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) 121.803 * [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)) 121.803 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.804 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 121.804 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 121.804 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 121.804 * [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 0 121.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 121.806 * [backup-simplify]: Simplify (+ 0 0) into 0 121.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 121.806 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 121.806 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 121.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 121.806 * [taylor]: Taking taylor expansion of 1/4 in U 121.806 * [backup-simplify]: Simplify 1/4 into 1/4 121.806 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 121.806 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.806 * [taylor]: Taking taylor expansion of J in U 121.806 * [backup-simplify]: Simplify J into J 121.806 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 121.806 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.806 * [taylor]: Taking taylor expansion of U in U 121.807 * [backup-simplify]: Simplify 0 into 0 121.807 * [backup-simplify]: Simplify 1 into 1 121.807 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 121.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 121.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 121.807 * [taylor]: Taking taylor expansion of 1/2 in U 121.807 * [backup-simplify]: Simplify 1/2 into 1/2 121.807 * [taylor]: Taking taylor expansion of K in U 121.807 * [backup-simplify]: Simplify K into K 121.807 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 121.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.807 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 121.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 121.807 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 121.808 * [backup-simplify]: Simplify (- 0) into 0 121.808 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 121.808 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.808 * [backup-simplify]: Simplify (* 1 1) into 1 121.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 121.808 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 121.809 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 121.809 * [taylor]: Taking taylor expansion of 1 in U 121.809 * [backup-simplify]: Simplify 1 into 1 121.809 * [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))) 121.809 * [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))) 121.809 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 121.810 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.810 * [backup-simplify]: Simplify (+ 0) into 0 121.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 121.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 121.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 121.813 * [backup-simplify]: Simplify (- 0) into 0 121.813 * [backup-simplify]: Simplify (+ 0 0) into 0 121.813 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 121.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 121.815 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 121.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 121.816 * [backup-simplify]: Simplify (+ 0 0) into 0 121.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 121.816 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 121.816 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 121.816 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 121.816 * [taylor]: Taking taylor expansion of 1/4 in U 121.816 * [backup-simplify]: Simplify 1/4 into 1/4 121.816 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 121.816 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.816 * [taylor]: Taking taylor expansion of J in U 121.817 * [backup-simplify]: Simplify J into J 121.817 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 121.817 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.817 * [taylor]: Taking taylor expansion of U in U 121.817 * [backup-simplify]: Simplify 0 into 0 121.817 * [backup-simplify]: Simplify 1 into 1 121.817 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 121.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 121.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 121.817 * [taylor]: Taking taylor expansion of 1/2 in U 121.817 * [backup-simplify]: Simplify 1/2 into 1/2 121.817 * [taylor]: Taking taylor expansion of K in U 121.817 * [backup-simplify]: Simplify K into K 121.817 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 121.817 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.817 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 121.817 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 121.817 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 121.818 * [backup-simplify]: Simplify (- 0) into 0 121.818 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 121.818 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.818 * [backup-simplify]: Simplify (* 1 1) into 1 121.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 121.818 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 121.819 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 121.819 * [taylor]: Taking taylor expansion of 1 in U 121.819 * [backup-simplify]: Simplify 1 into 1 121.819 * [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))) 121.819 * [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))) 121.819 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 121.820 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.820 * [backup-simplify]: Simplify (+ 0) into 0 121.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 121.821 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 121.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 121.822 * [backup-simplify]: Simplify (- 0) into 0 121.823 * [backup-simplify]: Simplify (+ 0 0) into 0 121.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 121.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 121.824 * [backup-simplify]: 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 0 121.825 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 121.826 * [backup-simplify]: Simplify (+ 0 0) into 0 121.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 121.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 121.826 * [taylor]: Taking taylor expansion of 1/2 in K 121.826 * [backup-simplify]: Simplify 1/2 into 1/2 121.826 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 121.826 * [taylor]: Taking taylor expansion of J in K 121.826 * [backup-simplify]: Simplify J into J 121.826 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 121.826 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 121.826 * [taylor]: Taking taylor expansion of 1/2 in K 121.826 * [backup-simplify]: Simplify 1/2 into 1/2 121.826 * [taylor]: Taking taylor expansion of K in K 121.826 * [backup-simplify]: Simplify 0 into 0 121.826 * [backup-simplify]: Simplify 1 into 1 121.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 121.827 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.827 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 121.827 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 121.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 121.827 * [taylor]: Taking taylor expansion of 1/2 in J 121.827 * [backup-simplify]: Simplify 1/2 into 1/2 121.827 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 121.827 * [taylor]: Taking taylor expansion of J in J 121.827 * [backup-simplify]: Simplify 0 into 0 121.827 * [backup-simplify]: Simplify 1 into 1 121.827 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 121.827 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 121.827 * [taylor]: Taking taylor expansion of 1/2 in J 121.827 * [backup-simplify]: Simplify 1/2 into 1/2 121.827 * [taylor]: Taking taylor expansion of K in J 121.827 * [backup-simplify]: Simplify K into K 121.827 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 121.827 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.828 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 121.828 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 121.828 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 121.828 * [backup-simplify]: Simplify (- 0) into 0 121.828 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 121.828 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 121.828 * [taylor]: Taking taylor expansion of 0 in K 121.828 * [backup-simplify]: Simplify 0 into 0 121.828 * [taylor]: Taking taylor expansion of 0 in J 121.829 * [backup-simplify]: Simplify 0 into 0 121.829 * [backup-simplify]: Simplify 0 into 0 121.829 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 121.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 121.829 * [taylor]: Taking taylor expansion of 0 in J 121.830 * [backup-simplify]: Simplify 0 into 0 121.830 * [backup-simplify]: Simplify 0 into 0 121.830 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 121.830 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 121.831 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 121.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 121.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 121.833 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 121.834 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 121.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 121.835 * [backup-simplify]: Simplify (- 0) into 0 121.835 * [backup-simplify]: Simplify (+ 0 0) into 0 121.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 121.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 121.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 121.838 * [backup-simplify]: 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 0 121.839 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 121.839 * [backup-simplify]: Simplify (+ 0 1) into 1 121.840 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 121.840 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 121.840 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 121.840 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 121.840 * [taylor]: Taking taylor expansion of 1/2 in K 121.840 * [backup-simplify]: Simplify 1/2 into 1/2 121.840 * [taylor]: Taking taylor expansion of K in K 121.840 * [backup-simplify]: Simplify 0 into 0 121.840 * [backup-simplify]: Simplify 1 into 1 121.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 121.841 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.841 * [taylor]: Taking taylor expansion of J in K 121.841 * [backup-simplify]: Simplify J into J 121.841 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 121.841 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 121.841 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 121.841 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 121.841 * [taylor]: Taking taylor expansion of 1/2 in J 121.841 * [backup-simplify]: Simplify 1/2 into 1/2 121.841 * [taylor]: Taking taylor expansion of K in J 121.841 * [backup-simplify]: Simplify K into K 121.841 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 121.841 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 121.841 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 121.841 * [taylor]: Taking taylor expansion of J in J 121.841 * [backup-simplify]: Simplify 0 into 0 121.841 * [backup-simplify]: Simplify 1 into 1 121.841 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 121.842 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 121.842 * [backup-simplify]: Simplify (- 0) into 0 121.842 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 121.842 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 121.843 * [backup-simplify]: Simplify (+ 0) into 0 121.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 121.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 121.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 121.845 * [backup-simplify]: Simplify (- 0) into 0 121.845 * [backup-simplify]: Simplify (+ 0 0) into 0 121.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 121.846 * [backup-simplify]: Simplify 0 into 0 121.846 * [taylor]: Taking taylor expansion of 0 in J 121.846 * [backup-simplify]: Simplify 0 into 0 121.846 * [backup-simplify]: Simplify 0 into 0 121.846 * [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 0 121.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 121.847 * [taylor]: Taking taylor expansion of 0 in J 121.847 * [backup-simplify]: Simplify 0 into 0 121.847 * [backup-simplify]: Simplify 0 into 0 121.847 * [backup-simplify]: Simplify 0 into 0 121.847 * [backup-simplify]: Simplify 0 into 0 121.848 * [backup-simplify]: Simplify (+ 0) into 0 121.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 121.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 121.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 121.850 * [backup-simplify]: Simplify (- 0) into 0 121.851 * [backup-simplify]: Simplify (+ 0 0) into 0 121.851 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 121.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 121.851 * [backup-simplify]: Simplify 0 into 0 121.852 * [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))) 121.852 * [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)))))) 121.852 * [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 0 121.853 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 121.853 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 121.853 * [taylor]: Taking taylor expansion of 1 in J 121.853 * [backup-simplify]: Simplify 1 into 1 121.853 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 121.853 * [taylor]: Taking taylor expansion of 1/4 in J 121.853 * [backup-simplify]: Simplify 1/4 into 1/4 121.853 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 121.853 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.853 * [taylor]: Taking taylor expansion of J in J 121.853 * [backup-simplify]: Simplify 0 into 0 121.853 * [backup-simplify]: Simplify 1 into 1 121.853 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 121.853 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 121.853 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 121.853 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 121.853 * [taylor]: Taking taylor expansion of -1/2 in J 121.853 * [backup-simplify]: Simplify -1/2 into -1/2 121.853 * [taylor]: Taking taylor expansion of K in J 121.853 * [backup-simplify]: Simplify K into K 121.853 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 121.853 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.853 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 121.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 121.853 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 121.854 * [backup-simplify]: Simplify (- 0) into 0 121.854 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 121.854 * [taylor]: Taking taylor expansion of (pow U 2) in J 121.854 * [taylor]: Taking taylor expansion of U in J 121.854 * [backup-simplify]: Simplify U into U 121.855 * [backup-simplify]: Simplify (* 1 1) into 1 121.855 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 121.855 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.855 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 121.855 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 121.856 * [backup-simplify]: Simplify (+ 1 0) into 1 121.856 * [backup-simplify]: Simplify (sqrt 1) into 1 121.856 * [backup-simplify]: Simplify (+ 0 0) into 0 121.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 121.857 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 121.857 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 121.857 * [taylor]: Taking taylor expansion of 1 in K 121.857 * [backup-simplify]: Simplify 1 into 1 121.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 121.857 * [taylor]: Taking taylor expansion of 1/4 in K 121.857 * [backup-simplify]: Simplify 1/4 into 1/4 121.857 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 121.857 * [taylor]: Taking taylor expansion of (pow J 2) in K 121.857 * [taylor]: Taking taylor expansion of J in K 121.858 * [backup-simplify]: Simplify J into J 121.858 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 121.858 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 121.858 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 121.858 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 121.858 * [taylor]: Taking taylor expansion of -1/2 in K 121.858 * [backup-simplify]: Simplify -1/2 into -1/2 121.858 * [taylor]: Taking taylor expansion of K in K 121.858 * [backup-simplify]: Simplify 0 into 0 121.858 * [backup-simplify]: Simplify 1 into 1 121.858 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 121.858 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.858 * [taylor]: Taking taylor expansion of (pow U 2) in K 121.858 * [taylor]: Taking taylor expansion of U in K 121.858 * [backup-simplify]: Simplify U into U 121.858 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.859 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 121.859 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.859 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 121.859 * [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))) 121.859 * [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)))) 121.860 * [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))))) 121.860 * [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)))))) 121.860 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.860 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 121.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 121.860 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 121.861 * [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 0 121.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 121.861 * [backup-simplify]: Simplify (+ 0 0) into 0 121.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 121.862 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 121.862 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 121.862 * [taylor]: Taking taylor expansion of 1 in U 121.862 * [backup-simplify]: Simplify 1 into 1 121.862 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 121.862 * [taylor]: Taking taylor expansion of 1/4 in U 121.862 * [backup-simplify]: Simplify 1/4 into 1/4 121.862 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 121.862 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.862 * [taylor]: Taking taylor expansion of J in U 121.862 * [backup-simplify]: Simplify J into J 121.862 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 121.862 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 121.862 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 121.862 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 121.862 * [taylor]: Taking taylor expansion of -1/2 in U 121.862 * [backup-simplify]: Simplify -1/2 into -1/2 121.862 * [taylor]: Taking taylor expansion of K in U 121.862 * [backup-simplify]: Simplify K into K 121.862 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 121.862 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.862 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 121.862 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 121.862 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 121.863 * [backup-simplify]: Simplify (- 0) into 0 121.863 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 121.863 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.863 * [taylor]: Taking taylor expansion of U in U 121.863 * [backup-simplify]: Simplify 0 into 0 121.863 * [backup-simplify]: Simplify 1 into 1 121.863 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 121.863 * [backup-simplify]: Simplify (* 1 1) into 1 121.863 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 121.863 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 121.863 * [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))) 121.864 * [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))) 121.864 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 121.864 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.864 * [backup-simplify]: Simplify (+ 0) into 0 121.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 121.865 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 121.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 121.866 * [backup-simplify]: Simplify (- 0) into 0 121.866 * [backup-simplify]: Simplify (+ 0 0) into 0 121.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 121.867 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 121.867 * [backup-simplify]: 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 0 121.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 121.868 * [backup-simplify]: Simplify (+ 0 0) into 0 121.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 121.868 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 121.868 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 121.868 * [taylor]: Taking taylor expansion of 1 in U 121.868 * [backup-simplify]: Simplify 1 into 1 121.868 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 121.868 * [taylor]: Taking taylor expansion of 1/4 in U 121.868 * [backup-simplify]: Simplify 1/4 into 1/4 121.868 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 121.868 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.868 * [taylor]: Taking taylor expansion of J in U 121.868 * [backup-simplify]: Simplify J into J 121.868 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 121.868 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 121.868 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 121.868 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 121.868 * [taylor]: Taking taylor expansion of -1/2 in U 121.868 * [backup-simplify]: Simplify -1/2 into -1/2 121.868 * [taylor]: Taking taylor expansion of K in U 121.868 * [backup-simplify]: Simplify K into K 121.868 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 121.868 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.868 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 121.869 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 121.869 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 121.869 * [backup-simplify]: Simplify (- 0) into 0 121.869 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 121.869 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.869 * [taylor]: Taking taylor expansion of U in U 121.869 * [backup-simplify]: Simplify 0 into 0 121.869 * [backup-simplify]: Simplify 1 into 1 121.869 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.869 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 121.869 * [backup-simplify]: Simplify (* 1 1) into 1 121.869 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 121.870 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 121.870 * [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))) 121.870 * [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))) 121.870 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 121.870 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.871 * [backup-simplify]: Simplify (+ 0) into 0 121.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 121.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 121.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 121.872 * [backup-simplify]: Simplify (- 0) into 0 121.872 * [backup-simplify]: Simplify (+ 0 0) into 0 121.873 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 121.873 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 121.873 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 121.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 121.874 * [backup-simplify]: Simplify (+ 0 0) into 0 121.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 121.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 121.874 * [taylor]: Taking taylor expansion of 1/2 in K 121.874 * [backup-simplify]: Simplify 1/2 into 1/2 121.874 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 121.874 * [taylor]: Taking taylor expansion of J in K 121.874 * [backup-simplify]: Simplify J into J 121.874 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 121.874 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 121.874 * [taylor]: Taking taylor expansion of -1/2 in K 121.874 * [backup-simplify]: Simplify -1/2 into -1/2 121.874 * [taylor]: Taking taylor expansion of K in K 121.874 * [backup-simplify]: Simplify 0 into 0 121.874 * [backup-simplify]: Simplify 1 into 1 121.875 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 121.875 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.875 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 121.875 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 121.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 121.875 * [taylor]: Taking taylor expansion of 1/2 in J 121.875 * [backup-simplify]: Simplify 1/2 into 1/2 121.875 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 121.875 * [taylor]: Taking taylor expansion of J in J 121.875 * [backup-simplify]: Simplify 0 into 0 121.875 * [backup-simplify]: Simplify 1 into 1 121.875 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 121.875 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 121.875 * [taylor]: Taking taylor expansion of -1/2 in J 121.875 * [backup-simplify]: Simplify -1/2 into -1/2 121.875 * [taylor]: Taking taylor expansion of K in J 121.875 * [backup-simplify]: Simplify K into K 121.875 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 121.875 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.875 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 121.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 121.875 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 121.875 * [backup-simplify]: Simplify (- 0) into 0 121.876 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 121.876 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 121.876 * [taylor]: Taking taylor expansion of 0 in K 121.876 * [backup-simplify]: Simplify 0 into 0 121.876 * [taylor]: Taking taylor expansion of 0 in J 121.876 * [backup-simplify]: Simplify 0 into 0 121.876 * [backup-simplify]: Simplify 0 into 0 121.876 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 121.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 121.876 * [taylor]: Taking taylor expansion of 0 in J 121.876 * [backup-simplify]: Simplify 0 into 0 121.876 * [backup-simplify]: Simplify 0 into 0 121.876 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 121.876 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 121.877 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 121.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 121.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 121.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 121.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 121.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 121.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 121.879 * [backup-simplify]: Simplify (- 0) into 0 121.880 * [backup-simplify]: Simplify (+ 0 0) into 0 121.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 121.880 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 121.881 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 121.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 121.882 * [backup-simplify]: Simplify (+ 1 0) into 1 121.882 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 121.882 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 121.882 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 121.882 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 121.882 * [taylor]: Taking taylor expansion of -1/2 in K 121.882 * [backup-simplify]: Simplify -1/2 into -1/2 121.882 * [taylor]: Taking taylor expansion of K in K 121.882 * [backup-simplify]: Simplify 0 into 0 121.882 * [backup-simplify]: Simplify 1 into 1 121.883 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 121.883 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.883 * [taylor]: Taking taylor expansion of J in K 121.883 * [backup-simplify]: Simplify J into J 121.883 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 121.883 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 121.883 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 121.883 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 121.883 * [taylor]: Taking taylor expansion of -1/2 in J 121.883 * [backup-simplify]: Simplify -1/2 into -1/2 121.883 * [taylor]: Taking taylor expansion of K in J 121.883 * [backup-simplify]: Simplify K into K 121.883 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 121.883 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 121.883 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 121.883 * [taylor]: Taking taylor expansion of J in J 121.883 * [backup-simplify]: Simplify 0 into 0 121.883 * [backup-simplify]: Simplify 1 into 1 121.883 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 121.883 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 121.883 * [backup-simplify]: Simplify (- 0) into 0 121.883 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 121.884 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 121.884 * [backup-simplify]: Simplify (+ 0) into 0 121.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 121.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 121.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 121.885 * [backup-simplify]: Simplify (- 0) into 0 121.885 * [backup-simplify]: Simplify (+ 0 0) into 0 121.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 121.886 * [backup-simplify]: Simplify 0 into 0 121.886 * [taylor]: Taking taylor expansion of 0 in J 121.886 * [backup-simplify]: Simplify 0 into 0 121.886 * [backup-simplify]: Simplify 0 into 0 121.886 * [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 0 121.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 121.887 * [taylor]: Taking taylor expansion of 0 in J 121.887 * [backup-simplify]: Simplify 0 into 0 121.887 * [backup-simplify]: Simplify 0 into 0 121.887 * [backup-simplify]: Simplify 0 into 0 121.887 * [backup-simplify]: Simplify 0 into 0 121.887 * [backup-simplify]: Simplify (+ 0) into 0 121.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 121.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 121.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 121.889 * [backup-simplify]: Simplify (- 0) into 0 121.889 * [backup-simplify]: Simplify (+ 0 0) into 0 121.889 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 121.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 121.889 * [backup-simplify]: Simplify 0 into 0 121.889 * [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))) 121.890 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 121.890 * [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))) into (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)))) 121.890 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)))) in (U K J) around 0 121.890 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)))) in J 121.890 * [taylor]: Taking taylor expansion of -2 in J 121.890 * [backup-simplify]: Simplify -2 into -2 121.890 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3))) in J 121.890 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 121.890 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 121.890 * [taylor]: Taking taylor expansion of 1/2 in J 121.890 * [backup-simplify]: Simplify 1/2 into 1/2 121.890 * [taylor]: Taking taylor expansion of K in J 121.890 * [backup-simplify]: Simplify K into K 121.890 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.890 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.890 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)) in J 121.890 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 121.890 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 121.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 121.890 * [taylor]: Taking taylor expansion of 1/4 in J 121.890 * [backup-simplify]: Simplify 1/4 into 1/4 121.890 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 121.890 * [taylor]: Taking taylor expansion of (pow U 2) in J 121.890 * [taylor]: Taking taylor expansion of U in J 121.890 * [backup-simplify]: Simplify U into U 121.891 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 121.891 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 121.891 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 121.891 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 121.891 * [taylor]: Taking taylor expansion of 1/2 in J 121.891 * [backup-simplify]: Simplify 1/2 into 1/2 121.891 * [taylor]: Taking taylor expansion of K in J 121.891 * [backup-simplify]: Simplify K into K 121.891 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.891 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.891 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.891 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 121.891 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 121.891 * [backup-simplify]: Simplify (- 0) into 0 121.891 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 121.891 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.891 * [taylor]: Taking taylor expansion of J in J 121.891 * [backup-simplify]: Simplify 0 into 0 121.891 * [backup-simplify]: Simplify 1 into 1 121.891 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.891 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 121.892 * [backup-simplify]: Simplify (* 1 1) into 1 121.892 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 121.892 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 121.892 * [taylor]: Taking taylor expansion of 1 in J 121.892 * [backup-simplify]: Simplify 1 into 1 121.892 * [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))) 121.892 * [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))) 121.893 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 121.893 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 121.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.894 * [backup-simplify]: Simplify (+ 0) into 0 121.894 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 121.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 121.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.896 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 121.896 * [backup-simplify]: Simplify (- 0) into 0 121.897 * [backup-simplify]: Simplify (+ 0 0) into 0 121.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 121.897 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 121.898 * [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 0 121.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 121.899 * [backup-simplify]: Simplify (+ 0 0) into 0 121.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 121.899 * [taylor]: Taking taylor expansion of (pow (pow J 2) 1/3) in J 121.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow J 2)))) in J 121.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow J 2))) in J 121.899 * [taylor]: Taking taylor expansion of 1/3 in J 121.899 * [backup-simplify]: Simplify 1/3 into 1/3 121.899 * [taylor]: Taking taylor expansion of (log (pow J 2)) in J 121.899 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.899 * [taylor]: Taking taylor expansion of J in J 121.899 * [backup-simplify]: Simplify 0 into 0 121.899 * [backup-simplify]: Simplify 1 into 1 121.900 * [backup-simplify]: Simplify (* 1 1) into 1 121.900 * [backup-simplify]: Simplify (log 1) into 0 121.901 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) 0) into (* 2 (log J)) 121.901 * [backup-simplify]: Simplify (* 1/3 (* 2 (log J))) into (* 2/3 (log J)) 121.901 * [backup-simplify]: Simplify (exp (* 2/3 (log J))) into (pow J 2/3) 121.901 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)))) in K 121.901 * [taylor]: Taking taylor expansion of -2 in K 121.901 * [backup-simplify]: Simplify -2 into -2 121.901 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3))) in K 121.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 121.901 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 121.901 * [taylor]: Taking taylor expansion of 1/2 in K 121.901 * [backup-simplify]: Simplify 1/2 into 1/2 121.901 * [taylor]: Taking taylor expansion of K in K 121.901 * [backup-simplify]: Simplify 0 into 0 121.901 * [backup-simplify]: Simplify 1 into 1 121.902 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.902 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 121.902 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)) in K 121.902 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 121.902 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 121.902 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 121.902 * [taylor]: Taking taylor expansion of 1/4 in K 121.902 * [backup-simplify]: Simplify 1/4 into 1/4 121.903 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 121.903 * [taylor]: Taking taylor expansion of (pow U 2) in K 121.903 * [taylor]: Taking taylor expansion of U in K 121.903 * [backup-simplify]: Simplify U into U 121.903 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 121.903 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 121.903 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 121.903 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 121.903 * [taylor]: Taking taylor expansion of 1/2 in K 121.903 * [backup-simplify]: Simplify 1/2 into 1/2 121.903 * [taylor]: Taking taylor expansion of K in K 121.903 * [backup-simplify]: Simplify 0 into 0 121.903 * [backup-simplify]: Simplify 1 into 1 121.903 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.904 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 121.904 * [taylor]: Taking taylor expansion of (pow J 2) in K 121.904 * [taylor]: Taking taylor expansion of J in K 121.904 * [backup-simplify]: Simplify J into J 121.904 * [backup-simplify]: Simplify (* U U) into (pow U 2) 121.905 * [backup-simplify]: Simplify (* 1 1) into 1 121.905 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.905 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 121.905 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 121.905 * [taylor]: Taking taylor expansion of 1 in K 121.905 * [backup-simplify]: Simplify 1 into 1 121.905 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 121.906 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 121.906 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 121.906 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 121.906 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.906 * [backup-simplify]: Simplify (+ 0) into 0 121.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 121.908 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 121.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 121.909 * [backup-simplify]: Simplify (+ 0 0) into 0 121.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 121.909 * [taylor]: Taking taylor expansion of (pow (pow J 2) 1/3) in K 121.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow J 2)))) in K 121.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow J 2))) in K 121.909 * [taylor]: Taking taylor expansion of 1/3 in K 121.909 * [backup-simplify]: Simplify 1/3 into 1/3 121.909 * [taylor]: Taking taylor expansion of (log (pow J 2)) in K 121.909 * [taylor]: Taking taylor expansion of (pow J 2) in K 121.909 * [taylor]: Taking taylor expansion of J in K 121.909 * [backup-simplify]: Simplify J into J 121.910 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.910 * [backup-simplify]: Simplify (log (pow J 2)) into (log (pow J 2)) 121.910 * [backup-simplify]: Simplify (* 1/3 (log (pow J 2))) into (* 1/3 (log (pow J 2))) 121.910 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow J 2)))) into (pow (pow J 2) 1/3) 121.910 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)))) in U 121.910 * [taylor]: Taking taylor expansion of -2 in U 121.910 * [backup-simplify]: Simplify -2 into -2 121.910 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3))) in U 121.910 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 121.910 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 121.910 * [taylor]: Taking taylor expansion of 1/2 in U 121.910 * [backup-simplify]: Simplify 1/2 into 1/2 121.910 * [taylor]: Taking taylor expansion of K in U 121.910 * [backup-simplify]: Simplify K into K 121.910 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.910 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.910 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.910 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)) in U 121.910 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 121.910 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 121.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 121.910 * [taylor]: Taking taylor expansion of 1/4 in U 121.910 * [backup-simplify]: Simplify 1/4 into 1/4 121.911 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 121.911 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.911 * [taylor]: Taking taylor expansion of U in U 121.911 * [backup-simplify]: Simplify 0 into 0 121.911 * [backup-simplify]: Simplify 1 into 1 121.911 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 121.911 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 121.911 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 121.911 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 121.911 * [taylor]: Taking taylor expansion of 1/2 in U 121.911 * [backup-simplify]: Simplify 1/2 into 1/2 121.911 * [taylor]: Taking taylor expansion of K in U 121.911 * [backup-simplify]: Simplify K into K 121.911 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.911 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.911 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.911 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 121.911 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 121.912 * [backup-simplify]: Simplify (- 0) into 0 121.912 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 121.912 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.912 * [taylor]: Taking taylor expansion of J in U 121.912 * [backup-simplify]: Simplify J into J 121.912 * [backup-simplify]: Simplify (* 1 1) into 1 121.912 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 121.913 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.913 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 121.913 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 121.913 * [taylor]: Taking taylor expansion of 1 in U 121.913 * [backup-simplify]: Simplify 1 into 1 121.913 * [backup-simplify]: Simplify (+ 0 1) into 1 121.914 * [backup-simplify]: Simplify (sqrt 1) into 1 121.914 * [backup-simplify]: Simplify (+ 0 0) into 0 121.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 121.915 * [taylor]: Taking taylor expansion of (pow (pow J 2) 1/3) in U 121.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow J 2)))) in U 121.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow J 2))) in U 121.915 * [taylor]: Taking taylor expansion of 1/3 in U 121.915 * [backup-simplify]: Simplify 1/3 into 1/3 121.915 * [taylor]: Taking taylor expansion of (log (pow J 2)) in U 121.915 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.915 * [taylor]: Taking taylor expansion of J in U 121.915 * [backup-simplify]: Simplify J into J 121.915 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.915 * [backup-simplify]: Simplify (log (pow J 2)) into (log (pow J 2)) 121.915 * [backup-simplify]: Simplify (* 1/3 (log (pow J 2))) into (* 1/3 (log (pow J 2))) 121.916 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow J 2)))) into (pow (pow J 2) 1/3) 121.916 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)))) in U 121.916 * [taylor]: Taking taylor expansion of -2 in U 121.916 * [backup-simplify]: Simplify -2 into -2 121.916 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3))) in U 121.916 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 121.916 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 121.916 * [taylor]: Taking taylor expansion of 1/2 in U 121.916 * [backup-simplify]: Simplify 1/2 into 1/2 121.916 * [taylor]: Taking taylor expansion of K in U 121.916 * [backup-simplify]: Simplify K into K 121.916 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.916 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.916 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.916 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow (pow J 2) 1/3)) in U 121.916 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 121.916 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 121.916 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 121.916 * [taylor]: Taking taylor expansion of 1/4 in U 121.916 * [backup-simplify]: Simplify 1/4 into 1/4 121.916 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 121.916 * [taylor]: Taking taylor expansion of (pow U 2) in U 121.916 * [taylor]: Taking taylor expansion of U in U 121.916 * [backup-simplify]: Simplify 0 into 0 121.916 * [backup-simplify]: Simplify 1 into 1 121.916 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 121.916 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 121.916 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 121.916 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 121.916 * [taylor]: Taking taylor expansion of 1/2 in U 121.917 * [backup-simplify]: Simplify 1/2 into 1/2 121.917 * [taylor]: Taking taylor expansion of K in U 121.917 * [backup-simplify]: Simplify K into K 121.917 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 121.917 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 121.917 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 121.917 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 121.917 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 121.917 * [backup-simplify]: Simplify (- 0) into 0 121.917 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 121.917 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.918 * [taylor]: Taking taylor expansion of J in U 121.918 * [backup-simplify]: Simplify J into J 121.918 * [backup-simplify]: Simplify (* 1 1) into 1 121.918 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 121.918 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.918 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 121.919 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 121.919 * [taylor]: Taking taylor expansion of 1 in U 121.919 * [backup-simplify]: Simplify 1 into 1 121.919 * [backup-simplify]: Simplify (+ 0 1) into 1 121.919 * [backup-simplify]: Simplify (sqrt 1) into 1 121.920 * [backup-simplify]: Simplify (+ 0 0) into 0 121.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 121.921 * [taylor]: Taking taylor expansion of (pow (pow J 2) 1/3) in U 121.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow J 2)))) in U 121.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow J 2))) in U 121.921 * [taylor]: Taking taylor expansion of 1/3 in U 121.921 * [backup-simplify]: Simplify 1/3 into 1/3 121.921 * [taylor]: Taking taylor expansion of (log (pow J 2)) in U 121.921 * [taylor]: Taking taylor expansion of (pow J 2) in U 121.921 * [taylor]: Taking taylor expansion of J in U 121.921 * [backup-simplify]: Simplify J into J 121.921 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.921 * [backup-simplify]: Simplify (log (pow J 2)) into (log (pow J 2)) 121.921 * [backup-simplify]: Simplify (* 1/3 (log (pow J 2))) into (* 1/3 (log (pow J 2))) 121.921 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow J 2)))) into (pow (pow J 2) 1/3) 121.921 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 121.921 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 121.922 * [backup-simplify]: Simplify (- 0) into 0 121.922 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 121.922 * [backup-simplify]: Simplify (* 1 (pow (pow J 2) 1/3)) into (pow (pow J 2) 1/3) 121.922 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (pow J 2) 1/3)) into (* (cos (* 1/2 K)) (pow (pow J 2) 1/3)) 121.922 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) (pow (pow J 2) 1/3))) into (* -2 (* (cos (* 1/2 K)) (pow (pow J 2) 1/3))) 121.922 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (pow (pow J 2) 1/3))) in K 121.923 * [taylor]: Taking taylor expansion of -2 in K 121.923 * [backup-simplify]: Simplify -2 into -2 121.923 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow (pow J 2) 1/3)) in K 121.923 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 121.923 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 121.923 * [taylor]: Taking taylor expansion of 1/2 in K 121.923 * [backup-simplify]: Simplify 1/2 into 1/2 121.923 * [taylor]: Taking taylor expansion of K in K 121.923 * [backup-simplify]: Simplify 0 into 0 121.923 * [backup-simplify]: Simplify 1 into 1 121.923 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.924 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 121.924 * [taylor]: Taking taylor expansion of (pow (pow J 2) 1/3) in K 121.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow J 2)))) in K 121.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow J 2))) in K 121.924 * [taylor]: Taking taylor expansion of 1/3 in K 121.924 * [backup-simplify]: Simplify 1/3 into 1/3 121.924 * [taylor]: Taking taylor expansion of (log (pow J 2)) in K 121.924 * [taylor]: Taking taylor expansion of (pow J 2) in K 121.924 * [taylor]: Taking taylor expansion of J in K 121.924 * [backup-simplify]: Simplify J into J 121.925 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.925 * [backup-simplify]: Simplify (log (pow J 2)) into (log (pow J 2)) 121.925 * [backup-simplify]: Simplify (* 1/3 (log (pow J 2))) into (* 1/3 (log (pow J 2))) 121.925 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow J 2)))) into (pow (pow J 2) 1/3) 121.925 * [backup-simplify]: Simplify (* 1 (pow (pow J 2) 1/3)) into (pow (pow J 2) 1/3) 121.925 * [backup-simplify]: Simplify (* -2 (pow (pow J 2) 1/3)) into (* -2 (pow (pow J 2) 1/3)) 121.925 * [taylor]: Taking taylor expansion of (* -2 (pow (pow J 2) 1/3)) in J 121.925 * [taylor]: Taking taylor expansion of -2 in J 121.925 * [backup-simplify]: Simplify -2 into -2 121.925 * [taylor]: Taking taylor expansion of (pow (pow J 2) 1/3) in J 121.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow J 2)))) in J 121.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow J 2))) in J 121.925 * [taylor]: Taking taylor expansion of 1/3 in J 121.925 * [backup-simplify]: Simplify 1/3 into 1/3 121.925 * [taylor]: Taking taylor expansion of (log (pow J 2)) in J 121.925 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.925 * [taylor]: Taking taylor expansion of J in J 121.925 * [backup-simplify]: Simplify 0 into 0 121.925 * [backup-simplify]: Simplify 1 into 1 121.926 * [backup-simplify]: Simplify (* 1 1) into 1 121.926 * [backup-simplify]: Simplify (log 1) into 0 121.927 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) 0) into (* 2 (log J)) 121.927 * [backup-simplify]: Simplify (* 1/3 (* 2 (log J))) into (* 2/3 (log J)) 121.927 * [backup-simplify]: Simplify (exp (* 2/3 (log J))) into (pow J 2/3) 121.927 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow J 2) 1)))) 1) into 0 121.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow J 2)))) into 0 121.929 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow J 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 121.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (pow J 2) 1/3))) into 0 121.930 * [backup-simplify]: Simplify (+ 0) into 0 121.931 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 121.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 121.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.935 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 121.936 * [backup-simplify]: Simplify (- 0) into 0 121.936 * [backup-simplify]: Simplify (+ 0 0) into 0 121.936 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (pow (pow J 2) 1/3))) into 0 121.937 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) (pow (pow J 2) 1/3)))) into 0 121.937 * [taylor]: Taking taylor expansion of 0 in K 121.937 * [backup-simplify]: Simplify 0 into 0 121.937 * [taylor]: Taking taylor expansion of 0 in J 121.937 * [backup-simplify]: Simplify 0 into 0 121.937 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow J 2) 1)))) 1) into 0 121.938 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow J 2)))) into 0 121.939 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow J 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 121.940 * [backup-simplify]: Simplify (+ 0) into 0 121.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (pow J 2) 1/3))) into 0 121.941 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (pow (pow J 2) 1/3))) into 0 121.941 * [taylor]: Taking taylor expansion of 0 in J 121.941 * [backup-simplify]: Simplify 0 into 0 121.941 * [backup-simplify]: Simplify (* -2 (pow J 2/3)) into (* -2 (pow (pow J 2) 1/3)) 121.941 * [backup-simplify]: Simplify (* -2 (pow (pow J 2) 1/3)) into (* -2 (pow (pow J 2) 1/3)) 121.942 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 121.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow J 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow J 2) 1)))) 2) into 0 121.944 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow J 2))))) into 0 121.945 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow J 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.946 * [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))) 121.946 * [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)))) 121.947 * [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))) 121.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow (pow J 2) 1/3)))) into (* 1/8 (* (/ 1 (pow (cos (* 1/2 K)) 2)) (pow (/ 1 (pow J 4)) 1/3))) 121.950 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 121.950 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 121.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 121.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 121.952 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 121.953 * [backup-simplify]: Simplify (- 0) into 0 121.953 * [backup-simplify]: Simplify (+ 0 0) into 0 121.954 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (* (/ 1 (pow (cos (* 1/2 K)) 2)) (pow (/ 1 (pow J 4)) 1/3)))) (+ (* 0 0) (* 0 (pow (pow J 2) 1/3)))) into (* 1/8 (* (/ 1 (cos (* 1/2 K))) (pow (/ 1 (pow J 4)) 1/3))) 121.955 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (* (/ 1 (cos (* 1/2 K))) (pow (/ 1 (pow J 4)) 1/3)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) (pow (pow J 2) 1/3))))) into (- (* 1/4 (* (/ 1 (cos (* 1/2 K))) (pow (/ 1 (pow J 4)) 1/3)))) 121.955 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (/ 1 (cos (* 1/2 K))) (pow (/ 1 (pow J 4)) 1/3)))) in K 121.955 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ 1 (cos (* 1/2 K))) (pow (/ 1 (pow J 4)) 1/3))) in K 121.955 * [taylor]: Taking taylor expansion of 1/4 in K 121.955 * [backup-simplify]: Simplify 1/4 into 1/4 121.955 * [taylor]: Taking taylor expansion of (* (/ 1 (cos (* 1/2 K))) (pow (/ 1 (pow J 4)) 1/3)) in K 121.955 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 121.955 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 121.955 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 121.955 * [taylor]: Taking taylor expansion of 1/2 in K 121.955 * [backup-simplify]: Simplify 1/2 into 1/2 121.955 * [taylor]: Taking taylor expansion of K in K 121.955 * [backup-simplify]: Simplify 0 into 0 121.955 * [backup-simplify]: Simplify 1 into 1 121.956 * [backup-simplify]: Simplify (* 1/2 0) into 0 121.957 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 121.957 * [backup-simplify]: Simplify (/ 1 1) into 1 121.957 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 4)) 1/3) in K 121.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 4))))) in K 121.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 4)))) in K 121.957 * [taylor]: Taking taylor expansion of 1/3 in K 121.957 * [backup-simplify]: Simplify 1/3 into 1/3 121.957 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 4))) in K 121.957 * [taylor]: Taking taylor expansion of (/ 1 (pow J 4)) in K 121.957 * [taylor]: Taking taylor expansion of (pow J 4) in K 121.957 * [taylor]: Taking taylor expansion of J in K 121.957 * [backup-simplify]: Simplify J into J 121.957 * [backup-simplify]: Simplify (* J J) into (pow J 2) 121.957 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4) 121.958 * [backup-simplify]: Simplify (/ 1 (pow J 4)) into (/ 1 (pow J 4)) 121.958 * [backup-simplify]: Simplify (log (/ 1 (pow J 4))) into (log (/ 1 (pow J 4))) 121.958 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 4)))) into (* 1/3 (log (/ 1 (pow J 4)))) 121.958 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 4))))) into (pow (/ 1 (pow J 4)) 1/3) 121.958 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow J 4)) 1/3)) into (pow (/ 1 (pow J 4)) 1/3) 121.958 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow J 4)) 1/3)) into (* 1/4 (pow (/ 1 (pow J 4)) 1/3)) 121.958 * [backup-simplify]: Simplify (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) into (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) 121.958 * [taylor]: Taking taylor expansion of (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) in J 121.958 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow J 4)) 1/3)) in J 121.959 * [taylor]: Taking taylor expansion of 1/4 in J 121.959 * [backup-simplify]: Simplify 1/4 into 1/4 121.959 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 4)) 1/3) in J 121.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 4))))) in J 121.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 4)))) in J 121.959 * [taylor]: Taking taylor expansion of 1/3 in J 121.959 * [backup-simplify]: Simplify 1/3 into 1/3 121.959 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 4))) in J 121.959 * [taylor]: Taking taylor expansion of (/ 1 (pow J 4)) in J 121.959 * [taylor]: Taking taylor expansion of (pow J 4) in J 121.959 * [taylor]: Taking taylor expansion of J in J 121.959 * [backup-simplify]: Simplify 0 into 0 121.959 * [backup-simplify]: Simplify 1 into 1 121.959 * [backup-simplify]: Simplify (* 1 1) into 1 121.960 * [backup-simplify]: Simplify (* 1 1) into 1 121.960 * [backup-simplify]: Simplify (/ 1 1) into 1 121.960 * [backup-simplify]: Simplify (log 1) into 0 121.961 * [backup-simplify]: Simplify (+ (* (- 4) (log J)) 0) into (- (* 4 (log J))) 121.961 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log J)))) into (* -4/3 (log J)) 121.961 * [backup-simplify]: Simplify (exp (* -4/3 (log J))) into (pow J -4/3) 121.961 * [taylor]: Taking taylor expansion of 0 in J 121.961 * [backup-simplify]: Simplify 0 into 0 121.962 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 121.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow J 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow J 2) 1)))) 2) into 0 121.964 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow J 2))))) into 0 121.966 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow J 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 121.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 121.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 (pow (pow J 2) 1/3)))) into (- (* 1/8 (pow (pow J 2) 1/3))) 121.968 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 (pow (pow J 2) 1/3)))) (+ (* 0 0) (* 0 (pow (pow J 2) 1/3)))) into (* 1/4 (pow (pow J 2) 1/3)) 121.968 * [taylor]: Taking taylor expansion of (* 1/4 (pow (pow J 2) 1/3)) in J 121.968 * [taylor]: Taking taylor expansion of 1/4 in J 121.968 * [backup-simplify]: Simplify 1/4 into 1/4 121.969 * [taylor]: Taking taylor expansion of (pow (pow J 2) 1/3) in J 121.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow J 2)))) in J 121.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow J 2))) in J 121.969 * [taylor]: Taking taylor expansion of 1/3 in J 121.969 * [backup-simplify]: Simplify 1/3 into 1/3 121.969 * [taylor]: Taking taylor expansion of (log (pow J 2)) in J 121.969 * [taylor]: Taking taylor expansion of (pow J 2) in J 121.969 * [taylor]: Taking taylor expansion of J in J 121.969 * [backup-simplify]: Simplify 0 into 0 121.969 * [backup-simplify]: Simplify 1 into 1 121.969 * [backup-simplify]: Simplify (* 1 1) into 1 121.970 * [backup-simplify]: Simplify (log 1) into 0 121.970 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) 0) into (* 2 (log J)) 121.970 * [backup-simplify]: Simplify (* 1/3 (* 2 (log J))) into (* 2/3 (log J)) 121.970 * [backup-simplify]: Simplify (exp (* 2/3 (log J))) into (pow J 2/3) 121.970 * [backup-simplify]: Simplify 0 into 0 121.970 * [backup-simplify]: Simplify 0 into 0 121.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 121.973 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) 0) into (* 2 (log J)) 121.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log J)))) into 0 121.975 * [backup-simplify]: Simplify (* (exp (* 2/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 121.975 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (pow J 2/3))) into 0 121.975 * [backup-simplify]: Simplify 0 into 0 121.976 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 121.979 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow J 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow J 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow J 2) 1)))) 6) into 0 121.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow J 2)))))) into 0 121.982 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow J 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 121.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 121.982 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.983 * [backup-simplify]: Simplify (+ 0) into 0 121.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 121.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 121.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 121.985 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 121.986 * [backup-simplify]: Simplify (- 0) into 0 121.986 * [backup-simplify]: Simplify (+ 0 0) into 0 121.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 121.987 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 121.987 * [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 0 121.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 121.988 * [backup-simplify]: Simplify (+ 0 0) into 0 121.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 121.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 (pow (pow J 2) 1/3))))) into 0 121.991 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 121.992 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 121.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 121.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 121.995 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 121.996 * [backup-simplify]: Simplify (- 0) into 0 121.996 * [backup-simplify]: Simplify (+ 0 0) into 0 121.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (* (/ 1 (pow (cos (* 1/2 K)) 2)) (pow (/ 1 (pow J 4)) 1/3)))) (+ (* 0 0) (* 0 (pow (pow J 2) 1/3))))) into 0 121.998 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (* (/ 1 (cos (* 1/2 K))) (pow (/ 1 (pow J 4)) 1/3)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) (pow (pow J 2) 1/3)))))) into 0 121.998 * [taylor]: Taking taylor expansion of 0 in K 121.998 * [backup-simplify]: Simplify 0 into 0 121.998 * [taylor]: Taking taylor expansion of 0 in J 121.998 * [backup-simplify]: Simplify 0 into 0 121.999 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 121.999 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0 121.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 4)) (/ 0 (pow J 4))))) into 0 122.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow J 4)) 1)))) 1) into 0 122.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow J 4))))) into 0 122.001 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow J 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 122.001 * [backup-simplify]: Simplify (+ 0) into 0 122.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 122.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow J 4)) 1/3))) into 0 122.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow (/ 1 (pow J 4)) 1/3))) into 0 122.004 * [backup-simplify]: Simplify (- 0) into 0 122.004 * [taylor]: Taking taylor expansion of 0 in J 122.004 * [backup-simplify]: Simplify 0 into 0 122.004 * [taylor]: Taking taylor expansion of 0 in J 122.004 * [backup-simplify]: Simplify 0 into 0 122.005 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.007 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow J 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow J 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow J 2) 1)))) 6) into 0 122.009 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow J 2)))))) into 0 122.010 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow J 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 122.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 122.013 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 (pow (pow J 2) 1/3))))) into 0 122.015 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 (pow (pow J 2) 1/3)))) (+ (* 0 0) (* 0 (pow (pow J 2) 1/3))))) into 0 122.015 * [taylor]: Taking taylor expansion of 0 in J 122.015 * [backup-simplify]: Simplify 0 into 0 122.015 * [backup-simplify]: Simplify (* 1/4 (pow J -4/3)) into (* 1/4 (pow (/ 1 (pow J 4)) 1/3)) 122.016 * [backup-simplify]: Simplify (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) into (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) 122.016 * [backup-simplify]: Simplify (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) into (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) 122.016 * [backup-simplify]: Simplify 0 into 0 122.016 * [backup-simplify]: Simplify (* 1/4 (pow J 2/3)) into (* 1/4 (pow (pow J 2) 1/3)) 122.016 * [backup-simplify]: Simplify (* 1/4 (pow (pow J 2) 1/3)) into (* 1/4 (pow (pow J 2) 1/3)) 122.017 * [backup-simplify]: Simplify (+ (* (* 1/4 (pow (pow J 2) 1/3)) (pow (* 1 (* K 1)) 2)) (+ (* (- (* 1/4 (pow (/ 1 (pow J 4)) 1/3))) (pow (* 1 (* 1 U)) 2)) (* -2 (pow (pow J 2) 1/3)))) into (- (* 1/4 (* (pow K 2) (pow (pow J 2) 1/3))) (+ (* 1/4 (* (pow (/ 1 (pow J 4)) 1/3) (pow U 2))) (* 2 (pow (pow J 2) 1/3)))) 122.018 * [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)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))) 122.018 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))) in (U K J) around 0 122.018 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))) in J 122.018 * [taylor]: Taking taylor expansion of -2 in J 122.018 * [backup-simplify]: Simplify -2 into -2 122.018 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K)))) in J 122.018 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 122.018 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 122.018 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 122.019 * [taylor]: Taking taylor expansion of 1/4 in J 122.019 * [backup-simplify]: Simplify 1/4 into 1/4 122.019 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 122.019 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.019 * [taylor]: Taking taylor expansion of J in J 122.019 * [backup-simplify]: Simplify 0 into 0 122.019 * [backup-simplify]: Simplify 1 into 1 122.019 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 122.019 * [taylor]: Taking taylor expansion of (pow U 2) in J 122.019 * [taylor]: Taking taylor expansion of U in J 122.019 * [backup-simplify]: Simplify U into U 122.019 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 122.019 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 122.019 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 122.019 * [taylor]: Taking taylor expansion of 1/2 in J 122.019 * [backup-simplify]: Simplify 1/2 into 1/2 122.019 * [taylor]: Taking taylor expansion of K in J 122.019 * [backup-simplify]: Simplify K into K 122.019 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.019 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.019 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.019 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.020 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.020 * [backup-simplify]: Simplify (- 0) into 0 122.020 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.021 * [backup-simplify]: Simplify (* 1 1) into 1 122.021 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.021 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.021 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 122.021 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 122.021 * [taylor]: Taking taylor expansion of 1 in J 122.022 * [backup-simplify]: Simplify 1 into 1 122.022 * [backup-simplify]: Simplify (+ 0 1) into 1 122.022 * [backup-simplify]: Simplify (sqrt 1) into 1 122.023 * [backup-simplify]: Simplify (+ 0 0) into 0 122.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 122.024 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))) in J 122.024 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in J 122.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in J 122.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in J 122.024 * [taylor]: Taking taylor expansion of 1/3 in J 122.024 * [backup-simplify]: Simplify 1/3 into 1/3 122.024 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in J 122.024 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 122.024 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.024 * [taylor]: Taking taylor expansion of J in J 122.024 * [backup-simplify]: Simplify 0 into 0 122.024 * [backup-simplify]: Simplify 1 into 1 122.024 * [backup-simplify]: Simplify (* 1 1) into 1 122.025 * [backup-simplify]: Simplify (/ 1 1) into 1 122.025 * [backup-simplify]: Simplify (log 1) into 0 122.026 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) 0) into (- (* 2 (log J))) 122.026 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log J)))) into (* -2/3 (log J)) 122.026 * [backup-simplify]: Simplify (exp (* -2/3 (log J))) into (pow J -2/3) 122.026 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 122.026 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 122.026 * [taylor]: Taking taylor expansion of 1/2 in J 122.026 * [backup-simplify]: Simplify 1/2 into 1/2 122.026 * [taylor]: Taking taylor expansion of K in J 122.026 * [backup-simplify]: Simplify K into K 122.026 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.026 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.026 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.026 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))) in K 122.026 * [taylor]: Taking taylor expansion of -2 in K 122.026 * [backup-simplify]: Simplify -2 into -2 122.026 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K)))) in K 122.026 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 122.026 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 122.026 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 122.026 * [taylor]: Taking taylor expansion of 1/4 in K 122.026 * [backup-simplify]: Simplify 1/4 into 1/4 122.026 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 122.026 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.026 * [taylor]: Taking taylor expansion of J in K 122.026 * [backup-simplify]: Simplify J into J 122.027 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 122.027 * [taylor]: Taking taylor expansion of (pow U 2) in K 122.027 * [taylor]: Taking taylor expansion of U in K 122.027 * [backup-simplify]: Simplify U into U 122.027 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 122.027 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 122.027 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 122.027 * [taylor]: Taking taylor expansion of 1/2 in K 122.027 * [backup-simplify]: Simplify 1/2 into 1/2 122.027 * [taylor]: Taking taylor expansion of K in K 122.027 * [backup-simplify]: Simplify 0 into 0 122.027 * [backup-simplify]: Simplify 1 into 1 122.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 122.027 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.027 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.027 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.027 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.028 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 122.028 * [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))) 122.028 * [taylor]: Taking taylor expansion of 1 in K 122.028 * [backup-simplify]: Simplify 1 into 1 122.028 * [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)))) 122.028 * [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) 122.029 * [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)) 122.029 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.029 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 122.029 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 122.030 * [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 0 122.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 122.031 * [backup-simplify]: Simplify (+ 0 0) into 0 122.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 122.031 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))) in K 122.031 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in K 122.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in K 122.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in K 122.032 * [taylor]: Taking taylor expansion of 1/3 in K 122.032 * [backup-simplify]: Simplify 1/3 into 1/3 122.032 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in K 122.032 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in K 122.032 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.032 * [taylor]: Taking taylor expansion of J in K 122.032 * [backup-simplify]: Simplify J into J 122.032 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.032 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 122.032 * [backup-simplify]: Simplify (log (/ 1 (pow J 2))) into (log (/ 1 (pow J 2))) 122.032 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 2)))) into (* 1/3 (log (/ 1 (pow J 2)))) 122.032 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 2))))) into (pow (/ 1 (pow J 2)) 1/3) 122.032 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 122.032 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 122.032 * [taylor]: Taking taylor expansion of 1/2 in K 122.032 * [backup-simplify]: Simplify 1/2 into 1/2 122.032 * [taylor]: Taking taylor expansion of K in K 122.032 * [backup-simplify]: Simplify 0 into 0 122.032 * [backup-simplify]: Simplify 1 into 1 122.033 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 122.033 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.033 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))) in U 122.033 * [taylor]: Taking taylor expansion of -2 in U 122.033 * [backup-simplify]: Simplify -2 into -2 122.033 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K)))) in U 122.033 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 122.033 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 122.033 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 122.033 * [taylor]: Taking taylor expansion of 1/4 in U 122.033 * [backup-simplify]: Simplify 1/4 into 1/4 122.033 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 122.033 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.034 * [taylor]: Taking taylor expansion of J in U 122.034 * [backup-simplify]: Simplify J into J 122.034 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 122.034 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.034 * [taylor]: Taking taylor expansion of U in U 122.034 * [backup-simplify]: Simplify 0 into 0 122.034 * [backup-simplify]: Simplify 1 into 1 122.034 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 122.034 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.034 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.034 * [taylor]: Taking taylor expansion of 1/2 in U 122.034 * [backup-simplify]: Simplify 1/2 into 1/2 122.034 * [taylor]: Taking taylor expansion of K in U 122.034 * [backup-simplify]: Simplify K into K 122.034 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.034 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.034 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.034 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.034 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.035 * [backup-simplify]: Simplify (- 0) into 0 122.035 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.035 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.035 * [backup-simplify]: Simplify (* 1 1) into 1 122.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.035 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 122.036 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 122.036 * [taylor]: Taking taylor expansion of 1 in U 122.036 * [backup-simplify]: Simplify 1 into 1 122.036 * [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))) 122.036 * [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))) 122.036 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 122.036 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.037 * [backup-simplify]: Simplify (+ 0) into 0 122.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 122.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 122.038 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 122.039 * [backup-simplify]: Simplify (- 0) into 0 122.039 * [backup-simplify]: Simplify (+ 0 0) into 0 122.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 122.041 * [backup-simplify]: 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 0 122.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 122.042 * [backup-simplify]: Simplify (+ 0 0) into 0 122.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 122.042 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))) in U 122.042 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in U 122.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in U 122.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in U 122.042 * [taylor]: Taking taylor expansion of 1/3 in U 122.042 * [backup-simplify]: Simplify 1/3 into 1/3 122.042 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in U 122.042 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in U 122.042 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.042 * [taylor]: Taking taylor expansion of J in U 122.042 * [backup-simplify]: Simplify J into J 122.042 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.042 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 122.042 * [backup-simplify]: Simplify (log (/ 1 (pow J 2))) into (log (/ 1 (pow J 2))) 122.043 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 2)))) into (* 1/3 (log (/ 1 (pow J 2)))) 122.043 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 2))))) into (pow (/ 1 (pow J 2)) 1/3) 122.043 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.043 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.043 * [taylor]: Taking taylor expansion of 1/2 in U 122.043 * [backup-simplify]: Simplify 1/2 into 1/2 122.043 * [taylor]: Taking taylor expansion of K in U 122.043 * [backup-simplify]: Simplify K into K 122.043 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.043 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.043 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.043 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))) in U 122.043 * [taylor]: Taking taylor expansion of -2 in U 122.043 * [backup-simplify]: Simplify -2 into -2 122.043 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K)))) in U 122.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 122.043 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 122.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 122.043 * [taylor]: Taking taylor expansion of 1/4 in U 122.043 * [backup-simplify]: Simplify 1/4 into 1/4 122.043 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 122.043 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.043 * [taylor]: Taking taylor expansion of J in U 122.043 * [backup-simplify]: Simplify J into J 122.043 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 122.043 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.043 * [taylor]: Taking taylor expansion of U in U 122.043 * [backup-simplify]: Simplify 0 into 0 122.043 * [backup-simplify]: Simplify 1 into 1 122.043 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 122.043 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.044 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.044 * [taylor]: Taking taylor expansion of 1/2 in U 122.044 * [backup-simplify]: Simplify 1/2 into 1/2 122.044 * [taylor]: Taking taylor expansion of K in U 122.044 * [backup-simplify]: Simplify K into K 122.044 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.044 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.044 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.044 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.044 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.044 * [backup-simplify]: Simplify (- 0) into 0 122.044 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.044 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.045 * [backup-simplify]: Simplify (* 1 1) into 1 122.045 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.045 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 122.045 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 122.045 * [taylor]: Taking taylor expansion of 1 in U 122.045 * [backup-simplify]: Simplify 1 into 1 122.045 * [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))) 122.046 * [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))) 122.046 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 122.046 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.046 * [backup-simplify]: Simplify (+ 0) into 0 122.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 122.047 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 122.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 122.048 * [backup-simplify]: Simplify (- 0) into 0 122.049 * [backup-simplify]: Simplify (+ 0 0) into 0 122.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 122.050 * [backup-simplify]: 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 0 122.051 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 122.051 * [backup-simplify]: Simplify (+ 0 0) into 0 122.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 122.051 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))) in U 122.051 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in U 122.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in U 122.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in U 122.051 * [taylor]: Taking taylor expansion of 1/3 in U 122.052 * [backup-simplify]: Simplify 1/3 into 1/3 122.052 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in U 122.052 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in U 122.052 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.052 * [taylor]: Taking taylor expansion of J in U 122.052 * [backup-simplify]: Simplify J into J 122.052 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.052 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 122.052 * [backup-simplify]: Simplify (log (/ 1 (pow J 2))) into (log (/ 1 (pow J 2))) 122.052 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 2)))) into (* 1/3 (log (/ 1 (pow J 2)))) 122.052 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 2))))) into (pow (/ 1 (pow J 2)) 1/3) 122.052 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.052 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.052 * [taylor]: Taking taylor expansion of 1/2 in U 122.052 * [backup-simplify]: Simplify 1/2 into 1/2 122.052 * [taylor]: Taking taylor expansion of K in U 122.052 * [backup-simplify]: Simplify K into K 122.052 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.052 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.052 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.053 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.053 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.053 * [backup-simplify]: Simplify (- 0) into 0 122.053 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.053 * [backup-simplify]: Simplify (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))) into (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))) 122.054 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K)))) into (* 1/2 (pow J 1/3)) 122.054 * [backup-simplify]: Simplify (* -2 (* 1/2 (pow J 1/3))) into (* -1 (pow J 1/3)) 122.054 * [taylor]: Taking taylor expansion of (* -1 (pow J 1/3)) in K 122.054 * [taylor]: Taking taylor expansion of -1 in K 122.054 * [backup-simplify]: Simplify -1 into -1 122.054 * [taylor]: Taking taylor expansion of (pow J 1/3) in K 122.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in K 122.054 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in K 122.054 * [taylor]: Taking taylor expansion of 1/3 in K 122.054 * [backup-simplify]: Simplify 1/3 into 1/3 122.054 * [taylor]: Taking taylor expansion of (log J) in K 122.054 * [taylor]: Taking taylor expansion of J in K 122.054 * [backup-simplify]: Simplify J into J 122.054 * [backup-simplify]: Simplify (log J) into (log J) 122.054 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 122.054 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 122.054 * [backup-simplify]: Simplify (* -1 (pow J 1/3)) into (* -1 (pow J 1/3)) 122.054 * [taylor]: Taking taylor expansion of (* -1 (pow J 1/3)) in J 122.054 * [taylor]: Taking taylor expansion of -1 in J 122.054 * [backup-simplify]: Simplify -1 into -1 122.054 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 122.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 122.054 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 122.055 * [taylor]: Taking taylor expansion of 1/3 in J 122.055 * [backup-simplify]: Simplify 1/3 into 1/3 122.055 * [taylor]: Taking taylor expansion of (log J) in J 122.055 * [taylor]: Taking taylor expansion of J in J 122.055 * [backup-simplify]: Simplify 0 into 0 122.055 * [backup-simplify]: Simplify 1 into 1 122.055 * [backup-simplify]: Simplify (log 1) into 0 122.055 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.055 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 122.056 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 122.056 * [backup-simplify]: Simplify (* -1 (pow J 1/3)) into (* -1 (pow J 1/3)) 122.056 * [backup-simplify]: Simplify (* -1 (pow J 1/3)) into (* -1 (pow J 1/3)) 122.056 * [backup-simplify]: Simplify (+ 0) into 0 122.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 122.057 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 122.057 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 122.058 * [backup-simplify]: Simplify (- 0) into 0 122.058 * [backup-simplify]: Simplify (+ 0 0) into 0 122.059 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0 122.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow J 2)) 1)))) 1) into 0 122.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow J 2))))) into 0 122.060 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow J 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 122.061 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow J 2)) 1/3) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.061 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))) into 0 122.061 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* 1/2 (pow J 1/3)))) into 0 122.061 * [taylor]: Taking taylor expansion of 0 in K 122.061 * [backup-simplify]: Simplify 0 into 0 122.061 * [taylor]: Taking taylor expansion of 0 in J 122.061 * [backup-simplify]: Simplify 0 into 0 122.061 * [backup-simplify]: Simplify 0 into 0 122.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 122.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 122.063 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 122.063 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow J 1/3))) into 0 122.063 * [taylor]: Taking taylor expansion of 0 in J 122.063 * [backup-simplify]: Simplify 0 into 0 122.063 * [backup-simplify]: Simplify 0 into 0 122.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 122.064 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 122.065 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 122.065 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow J 1/3))) into 0 122.065 * [backup-simplify]: Simplify 0 into 0 122.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.066 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.067 * [backup-simplify]: Simplify (- 0) into 0 122.068 * [backup-simplify]: Simplify (+ 0 0) into 0 122.068 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 122.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))))) into 0 122.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow J 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow J 2)) 1)))) 2) into 0 122.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow J 2)))))) into 0 122.070 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow J 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.071 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow J 2)) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 122.071 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 122.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.075 * [backup-simplify]: Simplify (- 0) into 0 122.075 * [backup-simplify]: Simplify (+ 0 0) into 0 122.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 122.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 122.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 122.077 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 122.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 122.078 * [backup-simplify]: Simplify (+ 0 1) into 1 122.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 122.079 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K)))))) into (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)) 122.080 * [backup-simplify]: Simplify (+ (* -2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) (+ (* 0 0) (* 0 (* 1/2 (pow J 1/3))))) into (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) 122.080 * [taylor]: Taking taylor expansion of (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) in K 122.080 * [taylor]: Taking taylor expansion of (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) in K 122.080 * [taylor]: Taking taylor expansion of 2 in K 122.080 * [backup-simplify]: Simplify 2 into 2 122.080 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)) in K 122.080 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 5)) 1/3) in K 122.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 5))))) in K 122.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 5)))) in K 122.080 * [taylor]: Taking taylor expansion of 1/3 in K 122.080 * [backup-simplify]: Simplify 1/3 into 1/3 122.080 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 5))) in K 122.080 * [taylor]: Taking taylor expansion of (/ 1 (pow J 5)) in K 122.080 * [taylor]: Taking taylor expansion of (pow J 5) in K 122.080 * [taylor]: Taking taylor expansion of J in K 122.080 * [backup-simplify]: Simplify J into J 122.080 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.080 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4) 122.080 * [backup-simplify]: Simplify (* J (pow J 4)) into (pow J 5) 122.080 * [backup-simplify]: Simplify (/ 1 (pow J 5)) into (/ 1 (pow J 5)) 122.081 * [backup-simplify]: Simplify (log (/ 1 (pow J 5))) into (log (/ 1 (pow J 5))) 122.081 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 5)))) into (* 1/3 (log (/ 1 (pow J 5)))) 122.081 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 5))))) into (pow (/ 1 (pow J 5)) 1/3) 122.081 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 122.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 122.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 122.081 * [taylor]: Taking taylor expansion of 1/2 in K 122.081 * [backup-simplify]: Simplify 1/2 into 1/2 122.081 * [taylor]: Taking taylor expansion of K in K 122.081 * [backup-simplify]: Simplify 0 into 0 122.081 * [backup-simplify]: Simplify 1 into 1 122.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 122.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.082 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.082 * [backup-simplify]: Simplify (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)) into (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)) 122.082 * [backup-simplify]: Simplify (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) into (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) 122.082 * [backup-simplify]: Simplify (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) into (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) 122.083 * [taylor]: Taking taylor expansion of (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) in J 122.083 * [taylor]: Taking taylor expansion of (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) in J 122.083 * [taylor]: Taking taylor expansion of 2 in J 122.083 * [backup-simplify]: Simplify 2 into 2 122.083 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)) in J 122.083 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 5)) 1/3) in J 122.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 5))))) in J 122.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 5)))) in J 122.083 * [taylor]: Taking taylor expansion of 1/3 in J 122.083 * [backup-simplify]: Simplify 1/3 into 1/3 122.083 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 5))) in J 122.083 * [taylor]: Taking taylor expansion of (/ 1 (pow J 5)) in J 122.083 * [taylor]: Taking taylor expansion of (pow J 5) in J 122.083 * [taylor]: Taking taylor expansion of J in J 122.083 * [backup-simplify]: Simplify 0 into 0 122.083 * [backup-simplify]: Simplify 1 into 1 122.083 * [backup-simplify]: Simplify (* 1 1) into 1 122.084 * [backup-simplify]: Simplify (* 1 1) into 1 122.085 * [backup-simplify]: Simplify (* 1 1) into 1 122.085 * [backup-simplify]: Simplify (/ 1 1) into 1 122.085 * [backup-simplify]: Simplify (log 1) into 0 122.086 * [backup-simplify]: Simplify (+ (* (- 5) (log J)) 0) into (- (* 5 (log J))) 122.086 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log J)))) into (* -5/3 (log J)) 122.086 * [backup-simplify]: Simplify (exp (* -5/3 (log J))) into (pow J -5/3) 122.086 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 122.086 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 122.086 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 122.086 * [taylor]: Taking taylor expansion of 1/2 in J 122.086 * [backup-simplify]: Simplify 1/2 into 1/2 122.086 * [taylor]: Taking taylor expansion of K in J 122.086 * [backup-simplify]: Simplify K into K 122.086 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.086 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.086 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.086 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.086 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.087 * [backup-simplify]: Simplify (- 0) into 0 122.087 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.087 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.087 * [backup-simplify]: Simplify (* (pow J -5/3) (pow (cos (/ 1/2 K)) 2)) into (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)) 122.088 * [backup-simplify]: Simplify (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) into (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) 122.088 * [backup-simplify]: Simplify (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) into (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) 122.088 * [backup-simplify]: Simplify (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) into (- (* 2 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2)))) 122.088 * [taylor]: Taking taylor expansion of 0 in J 122.088 * [backup-simplify]: Simplify 0 into 0 122.088 * [backup-simplify]: Simplify 0 into 0 122.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 122.091 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 122.092 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow J 1/3)))) into 0 122.093 * [taylor]: Taking taylor expansion of 0 in J 122.093 * [backup-simplify]: Simplify 0 into 0 122.093 * [backup-simplify]: Simplify 0 into 0 122.093 * [backup-simplify]: Simplify 0 into 0 122.093 * [backup-simplify]: Simplify 0 into 0 122.096 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 122.097 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 122.099 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow J 1/3)))) into 0 122.100 * [backup-simplify]: Simplify 0 into 0 122.101 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.104 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.104 * [backup-simplify]: Simplify (- 0) into 0 122.105 * [backup-simplify]: Simplify (+ 0 0) into 0 122.106 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))))) into 0 122.109 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow J 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow J 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow J 2)) 1)))) 6) into 0 122.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow J 2))))))) into 0 122.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow J 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 122.113 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow J 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 122.114 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.114 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.116 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.118 * [backup-simplify]: Simplify (- 0) into 0 122.118 * [backup-simplify]: Simplify (+ 0 0) into 0 122.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 122.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 122.123 * [backup-simplify]: 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 0 122.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 122.124 * [backup-simplify]: Simplify (+ 0 0) into 0 122.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 122.126 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (* (pow (/ 1 (pow J 2)) 1/3) (cos (/ 1/2 K))))))) into 0 122.127 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* (pow (/ 1 (pow J 5)) 1/3) (pow (cos (/ 1/2 K)) 2))) (+ (* 0 0) (* 0 (* 1/2 (pow J 1/3)))))) into 0 122.127 * [taylor]: Taking taylor expansion of 0 in K 122.127 * [backup-simplify]: Simplify 0 into 0 122.127 * [taylor]: Taking taylor expansion of 0 in J 122.127 * [backup-simplify]: Simplify 0 into 0 122.127 * [backup-simplify]: Simplify 0 into 0 122.128 * [backup-simplify]: Simplify (+ (* (- (* 2 (* (pow (/ 1 (pow (/ 1 J) 5)) 1/3) (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 1 (* 1 (/ 1 U)))) (* (* -1 (pow (/ 1 J) 1/3)) (* 1 (* 1 (/ 1 (/ 1 U)))))) into (- (+ (* 2 (* (/ (pow (cos (* 1/2 K)) 2) U) (pow (pow J 5) 1/3))) (* (pow (/ 1 J) 1/3) U))) 122.129 * [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))))) into (* -2 (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) 122.129 * [approximate]: Taking taylor expansion of (* -2 (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in (U K J) around 0 122.129 * [taylor]: Taking taylor expansion of (* -2 (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in J 122.129 * [taylor]: Taking taylor expansion of -2 in J 122.129 * [backup-simplify]: Simplify -2 into -2 122.129 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 122.129 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in J 122.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in J 122.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in J 122.130 * [taylor]: Taking taylor expansion of 1/3 in J 122.130 * [backup-simplify]: Simplify 1/3 into 1/3 122.130 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in J 122.130 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 122.130 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.130 * [taylor]: Taking taylor expansion of J in J 122.130 * [backup-simplify]: Simplify 0 into 0 122.130 * [backup-simplify]: Simplify 1 into 1 122.130 * [backup-simplify]: Simplify (* 1 1) into 1 122.131 * [backup-simplify]: Simplify (/ 1 1) into 1 122.131 * [backup-simplify]: Simplify (log 1) into 0 122.131 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) 0) into (- (* 2 (log J))) 122.131 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log J)))) into (* -2/3 (log J)) 122.132 * [backup-simplify]: Simplify (exp (* -2/3 (log J))) into (pow J -2/3) 122.132 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 122.132 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) in J 122.132 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 122.132 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 122.132 * [taylor]: Taking taylor expansion of -1/2 in J 122.132 * [backup-simplify]: Simplify -1/2 into -1/2 122.132 * [taylor]: Taking taylor expansion of K in J 122.132 * [backup-simplify]: Simplify K into K 122.132 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.132 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.132 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.132 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in J 122.132 * [taylor]: Taking taylor expansion of (cbrt -1) in J 122.132 * [taylor]: Taking taylor expansion of -1 in J 122.132 * [backup-simplify]: Simplify -1 into -1 122.133 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.134 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.134 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 122.134 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 122.134 * [taylor]: Taking taylor expansion of 1 in J 122.134 * [backup-simplify]: Simplify 1 into 1 122.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 122.134 * [taylor]: Taking taylor expansion of 1/4 in J 122.134 * [backup-simplify]: Simplify 1/4 into 1/4 122.134 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 122.134 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.134 * [taylor]: Taking taylor expansion of J in J 122.134 * [backup-simplify]: Simplify 0 into 0 122.134 * [backup-simplify]: Simplify 1 into 1 122.134 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 122.134 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 122.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 122.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 122.134 * [taylor]: Taking taylor expansion of -1/2 in J 122.134 * [backup-simplify]: Simplify -1/2 into -1/2 122.134 * [taylor]: Taking taylor expansion of K in J 122.134 * [backup-simplify]: Simplify K into K 122.134 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.134 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.134 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.134 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.135 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.135 * [backup-simplify]: Simplify (- 0) into 0 122.135 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.135 * [taylor]: Taking taylor expansion of (pow U 2) in J 122.135 * [taylor]: Taking taylor expansion of U in J 122.135 * [backup-simplify]: Simplify U into U 122.136 * [backup-simplify]: Simplify (* 1 1) into 1 122.136 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.136 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.136 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 122.136 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 122.137 * [backup-simplify]: Simplify (+ 1 0) into 1 122.137 * [backup-simplify]: Simplify (sqrt 1) into 1 122.137 * [backup-simplify]: Simplify (+ 0 0) into 0 122.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 122.138 * [taylor]: Taking taylor expansion of (* -2 (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in K 122.138 * [taylor]: Taking taylor expansion of -2 in K 122.138 * [backup-simplify]: Simplify -2 into -2 122.138 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 122.138 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in K 122.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in K 122.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in K 122.138 * [taylor]: Taking taylor expansion of 1/3 in K 122.138 * [backup-simplify]: Simplify 1/3 into 1/3 122.138 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in K 122.138 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in K 122.138 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.138 * [taylor]: Taking taylor expansion of J in K 122.138 * [backup-simplify]: Simplify J into J 122.139 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.139 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 122.139 * [backup-simplify]: Simplify (log (/ 1 (pow J 2))) into (log (/ 1 (pow J 2))) 122.139 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 2)))) into (* 1/3 (log (/ 1 (pow J 2)))) 122.139 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 2))))) into (pow (/ 1 (pow J 2)) 1/3) 122.139 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 122.139 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) in K 122.139 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 122.139 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 122.139 * [taylor]: Taking taylor expansion of -1/2 in K 122.139 * [backup-simplify]: Simplify -1/2 into -1/2 122.139 * [taylor]: Taking taylor expansion of K in K 122.139 * [backup-simplify]: Simplify 0 into 0 122.139 * [backup-simplify]: Simplify 1 into 1 122.140 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 122.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.140 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in K 122.140 * [taylor]: Taking taylor expansion of (cbrt -1) in K 122.140 * [taylor]: Taking taylor expansion of -1 in K 122.140 * [backup-simplify]: Simplify -1 into -1 122.140 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.141 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.141 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 122.141 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 122.141 * [taylor]: Taking taylor expansion of 1 in K 122.141 * [backup-simplify]: Simplify 1 into 1 122.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 122.141 * [taylor]: Taking taylor expansion of 1/4 in K 122.141 * [backup-simplify]: Simplify 1/4 into 1/4 122.141 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 122.141 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.141 * [taylor]: Taking taylor expansion of J in K 122.141 * [backup-simplify]: Simplify J into J 122.141 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 122.141 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 122.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 122.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 122.142 * [taylor]: Taking taylor expansion of -1/2 in K 122.142 * [backup-simplify]: Simplify -1/2 into -1/2 122.142 * [taylor]: Taking taylor expansion of K in K 122.142 * [backup-simplify]: Simplify 0 into 0 122.142 * [backup-simplify]: Simplify 1 into 1 122.142 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 122.142 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.142 * [taylor]: Taking taylor expansion of (pow U 2) in K 122.142 * [taylor]: Taking taylor expansion of U in K 122.142 * [backup-simplify]: Simplify U into U 122.142 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.142 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.143 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 122.143 * [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))) 122.143 * [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)))) 122.144 * [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))))) 122.144 * [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)))))) 122.144 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.144 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 122.145 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.145 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 122.145 * [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 0 122.146 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 122.147 * [backup-simplify]: Simplify (+ 0 0) into 0 122.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 122.147 * [taylor]: Taking taylor expansion of (* -2 (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U 122.147 * [taylor]: Taking taylor expansion of -2 in U 122.147 * [backup-simplify]: Simplify -2 into -2 122.147 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 122.147 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in U 122.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in U 122.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in U 122.147 * [taylor]: Taking taylor expansion of 1/3 in U 122.147 * [backup-simplify]: Simplify 1/3 into 1/3 122.147 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in U 122.147 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in U 122.147 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.148 * [taylor]: Taking taylor expansion of J in U 122.148 * [backup-simplify]: Simplify J into J 122.148 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.148 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 122.148 * [backup-simplify]: Simplify (log (/ 1 (pow J 2))) into (log (/ 1 (pow J 2))) 122.148 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 2)))) into (* 1/3 (log (/ 1 (pow J 2)))) 122.148 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 2))))) into (pow (/ 1 (pow J 2)) 1/3) 122.148 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 122.148 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) in U 122.148 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.148 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.148 * [taylor]: Taking taylor expansion of -1/2 in U 122.148 * [backup-simplify]: Simplify -1/2 into -1/2 122.148 * [taylor]: Taking taylor expansion of K in U 122.148 * [backup-simplify]: Simplify K into K 122.148 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.148 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.148 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.149 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in U 122.149 * [taylor]: Taking taylor expansion of (cbrt -1) in U 122.149 * [taylor]: Taking taylor expansion of -1 in U 122.149 * [backup-simplify]: Simplify -1 into -1 122.149 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.150 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.150 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 122.150 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 122.150 * [taylor]: Taking taylor expansion of 1 in U 122.150 * [backup-simplify]: Simplify 1 into 1 122.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 122.150 * [taylor]: Taking taylor expansion of 1/4 in U 122.150 * [backup-simplify]: Simplify 1/4 into 1/4 122.150 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 122.150 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.150 * [taylor]: Taking taylor expansion of J in U 122.150 * [backup-simplify]: Simplify J into J 122.150 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 122.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 122.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.150 * [taylor]: Taking taylor expansion of -1/2 in U 122.150 * [backup-simplify]: Simplify -1/2 into -1/2 122.150 * [taylor]: Taking taylor expansion of K in U 122.150 * [backup-simplify]: Simplify K into K 122.151 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.151 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.151 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.151 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.151 * [backup-simplify]: Simplify (- 0) into 0 122.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.151 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.151 * [taylor]: Taking taylor expansion of U in U 122.151 * [backup-simplify]: Simplify 0 into 0 122.151 * [backup-simplify]: Simplify 1 into 1 122.152 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.152 * [backup-simplify]: Simplify (* 1 1) into 1 122.152 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 122.152 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 122.153 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 122.153 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 122.153 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 122.153 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.154 * [backup-simplify]: Simplify (+ 0) into 0 122.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 122.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 122.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 122.157 * [backup-simplify]: Simplify (- 0) into 0 122.157 * [backup-simplify]: Simplify (+ 0 0) into 0 122.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.158 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 122.158 * [backup-simplify]: 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 0 122.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 122.159 * [backup-simplify]: Simplify (+ 0 0) into 0 122.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 122.160 * [taylor]: Taking taylor expansion of (* -2 (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U 122.160 * [taylor]: Taking taylor expansion of -2 in U 122.160 * [backup-simplify]: Simplify -2 into -2 122.160 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow J 2)) 1/3) (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 122.160 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 2)) 1/3) in U 122.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 2))))) in U 122.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 2)))) in U 122.160 * [taylor]: Taking taylor expansion of 1/3 in U 122.160 * [backup-simplify]: Simplify 1/3 into 1/3 122.160 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 2))) in U 122.160 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in U 122.160 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.160 * [taylor]: Taking taylor expansion of J in U 122.160 * [backup-simplify]: Simplify J into J 122.160 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.160 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 122.160 * [backup-simplify]: Simplify (log (/ 1 (pow J 2))) into (log (/ 1 (pow J 2))) 122.160 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 2)))) into (* 1/3 (log (/ 1 (pow J 2)))) 122.161 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 2))))) into (pow (/ 1 (pow J 2)) 1/3) 122.161 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 122.161 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) in U 122.161 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.161 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.161 * [taylor]: Taking taylor expansion of -1/2 in U 122.161 * [backup-simplify]: Simplify -1/2 into -1/2 122.161 * [taylor]: Taking taylor expansion of K in U 122.161 * [backup-simplify]: Simplify K into K 122.161 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.161 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.161 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.161 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in U 122.161 * [taylor]: Taking taylor expansion of (cbrt -1) in U 122.161 * [taylor]: Taking taylor expansion of -1 in U 122.161 * [backup-simplify]: Simplify -1 into -1 122.162 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.162 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.162 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 122.162 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 122.162 * [taylor]: Taking taylor expansion of 1 in U 122.162 * [backup-simplify]: Simplify 1 into 1 122.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 122.163 * [taylor]: Taking taylor expansion of 1/4 in U 122.163 * [backup-simplify]: Simplify 1/4 into 1/4 122.163 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 122.163 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.163 * [taylor]: Taking taylor expansion of J in U 122.163 * [backup-simplify]: Simplify J into J 122.163 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 122.163 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 122.163 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.163 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.163 * [taylor]: Taking taylor expansion of -1/2 in U 122.163 * [backup-simplify]: Simplify -1/2 into -1/2 122.163 * [taylor]: Taking taylor expansion of K in U 122.163 * [backup-simplify]: Simplify K into K 122.163 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.163 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.163 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.163 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.163 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.164 * [backup-simplify]: Simplify (- 0) into 0 122.164 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.164 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.164 * [taylor]: Taking taylor expansion of U in U 122.164 * [backup-simplify]: Simplify 0 into 0 122.164 * [backup-simplify]: Simplify 1 into 1 122.164 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.164 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.165 * [backup-simplify]: Simplify (* 1 1) into 1 122.165 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 122.165 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 122.165 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 122.165 * [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))) 122.166 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 122.166 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.167 * [backup-simplify]: Simplify (+ 0) into 0 122.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 122.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 122.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.169 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 122.169 * [backup-simplify]: Simplify (- 0) into 0 122.169 * [backup-simplify]: Simplify (+ 0 0) into 0 122.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.170 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 122.171 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 122.171 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 122.172 * [backup-simplify]: Simplify (+ 0 0) into 0 122.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 122.172 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.172 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.173 * [backup-simplify]: Simplify (- 0) into 0 122.173 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.174 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) into (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) 122.176 * [backup-simplify]: Simplify (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 (* (pow (cbrt -1) 2) J)) 122.177 * [backup-simplify]: Simplify (* (pow (/ 1 (pow J 2)) 1/3) (* 1/2 (* (pow (cbrt -1) 2) J))) into (* 1/2 (* (pow J 1/3) (pow (cbrt -1) 2))) 122.178 * [backup-simplify]: Simplify (* -2 (* 1/2 (* (pow J 1/3) (pow (cbrt -1) 2)))) into (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) 122.179 * [taylor]: Taking taylor expansion of (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) in K 122.179 * [taylor]: Taking taylor expansion of -1 in K 122.179 * [backup-simplify]: Simplify -1 into -1 122.179 * [taylor]: Taking taylor expansion of (* (pow J 1/3) (pow (cbrt -1) 2)) in K 122.179 * [taylor]: Taking taylor expansion of (pow J 1/3) in K 122.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in K 122.179 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in K 122.179 * [taylor]: Taking taylor expansion of 1/3 in K 122.179 * [backup-simplify]: Simplify 1/3 into 1/3 122.179 * [taylor]: Taking taylor expansion of (log J) in K 122.179 * [taylor]: Taking taylor expansion of J in K 122.179 * [backup-simplify]: Simplify J into J 122.179 * [backup-simplify]: Simplify (log J) into (log J) 122.179 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 122.179 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 122.179 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in K 122.179 * [taylor]: Taking taylor expansion of (cbrt -1) in K 122.179 * [taylor]: Taking taylor expansion of -1 in K 122.179 * [backup-simplify]: Simplify -1 into -1 122.179 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.180 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.181 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.182 * [backup-simplify]: Simplify (* (pow J 1/3) (pow (cbrt -1) 2)) into (* (pow J 1/3) (pow (cbrt -1) 2)) 122.183 * [backup-simplify]: Simplify (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) into (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) 122.183 * [taylor]: Taking taylor expansion of (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) in J 122.183 * [taylor]: Taking taylor expansion of -1 in J 122.183 * [backup-simplify]: Simplify -1 into -1 122.183 * [taylor]: Taking taylor expansion of (* (pow J 1/3) (pow (cbrt -1) 2)) in J 122.183 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 122.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 122.183 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 122.183 * [taylor]: Taking taylor expansion of 1/3 in J 122.184 * [backup-simplify]: Simplify 1/3 into 1/3 122.184 * [taylor]: Taking taylor expansion of (log J) in J 122.184 * [taylor]: Taking taylor expansion of J in J 122.184 * [backup-simplify]: Simplify 0 into 0 122.184 * [backup-simplify]: Simplify 1 into 1 122.184 * [backup-simplify]: Simplify (log 1) into 0 122.184 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.184 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 122.184 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 122.185 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in J 122.185 * [taylor]: Taking taylor expansion of (cbrt -1) in J 122.185 * [taylor]: Taking taylor expansion of -1 in J 122.185 * [backup-simplify]: Simplify -1 into -1 122.185 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.186 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.187 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.188 * [backup-simplify]: Simplify (* (pow J 1/3) (pow (cbrt -1) 2)) into (* (pow J 1/3) (pow (cbrt -1) 2)) 122.189 * [backup-simplify]: Simplify (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) into (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) 122.190 * [backup-simplify]: Simplify (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) into (* -1 (* (pow J 1/3) (pow (cbrt -1) 2))) 122.191 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 122.192 * [backup-simplify]: Simplify (+ 0) into 0 122.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 122.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 122.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.194 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 122.194 * [backup-simplify]: Simplify (- 0) into 0 122.195 * [backup-simplify]: Simplify (+ 0 0) into 0 122.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cbrt -1) 2))) into 0 122.197 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 122.197 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0 122.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow J 2)) 1)))) 1) into 0 122.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow J 2))))) into 0 122.199 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow J 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 122.201 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow J 2)) 1/3) 0) (* 0 (* 1/2 (* (pow (cbrt -1) 2) J)))) into 0 122.202 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* 1/2 (* (pow J 1/3) (pow (cbrt -1) 2))))) into 0 122.202 * [taylor]: Taking taylor expansion of 0 in K 122.202 * [backup-simplify]: Simplify 0 into 0 122.202 * [taylor]: Taking taylor expansion of 0 in J 122.202 * [backup-simplify]: Simplify 0 into 0 122.202 * [backup-simplify]: Simplify 0 into 0 122.203 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 122.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 122.205 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 122.205 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 122.206 * [backup-simplify]: Simplify (+ (* (pow J 1/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 122.208 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* (pow J 1/3) (pow (cbrt -1) 2)))) into 0 122.208 * [taylor]: Taking taylor expansion of 0 in J 122.208 * [backup-simplify]: Simplify 0 into 0 122.208 * [backup-simplify]: Simplify 0 into 0 122.209 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 122.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 122.211 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.211 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 122.212 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 122.213 * [backup-simplify]: Simplify (+ (* (pow J 1/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 122.214 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* (pow J 1/3) (pow (cbrt -1) 2)))) into 0 122.214 * [backup-simplify]: Simplify 0 into 0 122.215 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 122.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 122.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.222 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.224 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.225 * [backup-simplify]: Simplify (- 0) into 0 122.225 * [backup-simplify]: Simplify (+ 0 0) into 0 122.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 122.226 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 122.227 * [backup-simplify]: 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 0 122.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 122.229 * [backup-simplify]: Simplify (+ 1 0) into 1 122.229 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 122.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 122.232 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 122.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.235 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.236 * [backup-simplify]: Simplify (- 0) into 0 122.236 * [backup-simplify]: Simplify (+ 0 0) into 0 122.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 122.239 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) J) 122.240 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 122.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))))) into 0 122.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow J 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow J 2)) 1)))) 2) into 0 122.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow J 2)))))) into 0 122.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow J 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.248 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow J 2)) 1/3) (/ (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) J)) (+ (* 0 0) (* 0 (* 1/2 (* (pow (cbrt -1) 2) J))))) into (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)) 122.252 * [backup-simplify]: Simplify (+ (* -2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) (+ (* 0 0) (* 0 (* 1/2 (* (pow J 1/3) (pow (cbrt -1) 2)))))) into (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) 122.252 * [taylor]: Taking taylor expansion of (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) in K 122.252 * [taylor]: Taking taylor expansion of (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) in K 122.252 * [taylor]: Taking taylor expansion of 2 in K 122.252 * [backup-simplify]: Simplify 2 into 2 122.252 * [taylor]: Taking taylor expansion of (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)) in K 122.253 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) in K 122.253 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 122.253 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 122.253 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 122.253 * [taylor]: Taking taylor expansion of -1/2 in K 122.253 * [backup-simplify]: Simplify -1/2 into -1/2 122.253 * [taylor]: Taking taylor expansion of K in K 122.253 * [backup-simplify]: Simplify 0 into 0 122.253 * [backup-simplify]: Simplify 1 into 1 122.253 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 122.253 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.253 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in K 122.253 * [taylor]: Taking taylor expansion of (cbrt -1) in K 122.253 * [taylor]: Taking taylor expansion of -1 in K 122.253 * [backup-simplify]: Simplify -1 into -1 122.254 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.255 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.255 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 5)) 1/3) in K 122.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 5))))) in K 122.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 5)))) in K 122.255 * [taylor]: Taking taylor expansion of 1/3 in K 122.255 * [backup-simplify]: Simplify 1/3 into 1/3 122.255 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 5))) in K 122.255 * [taylor]: Taking taylor expansion of (/ 1 (pow J 5)) in K 122.255 * [taylor]: Taking taylor expansion of (pow J 5) in K 122.255 * [taylor]: Taking taylor expansion of J in K 122.255 * [backup-simplify]: Simplify J into J 122.255 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.255 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4) 122.255 * [backup-simplify]: Simplify (* J (pow J 4)) into (pow J 5) 122.255 * [backup-simplify]: Simplify (/ 1 (pow J 5)) into (/ 1 (pow J 5)) 122.255 * [backup-simplify]: Simplify (log (/ 1 (pow J 5))) into (log (/ 1 (pow J 5))) 122.256 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow J 5)))) into (* 1/3 (log (/ 1 (pow J 5)))) 122.256 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow J 5))))) into (pow (/ 1 (pow J 5)) 1/3) 122.256 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.257 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.257 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) 122.258 * [backup-simplify]: Simplify (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)) into (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)) 122.259 * [backup-simplify]: Simplify (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) into (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) 122.260 * [backup-simplify]: Simplify (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) into (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) 122.260 * [taylor]: Taking taylor expansion of (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) in J 122.260 * [taylor]: Taking taylor expansion of (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) in J 122.260 * [taylor]: Taking taylor expansion of 2 in J 122.260 * [backup-simplify]: Simplify 2 into 2 122.260 * [taylor]: Taking taylor expansion of (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)) in J 122.260 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) in J 122.260 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 122.260 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 122.260 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 122.260 * [taylor]: Taking taylor expansion of -1/2 in J 122.260 * [backup-simplify]: Simplify -1/2 into -1/2 122.260 * [taylor]: Taking taylor expansion of K in J 122.260 * [backup-simplify]: Simplify K into K 122.260 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.260 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.260 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.260 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.261 * [backup-simplify]: Simplify (- 0) into 0 122.261 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.261 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in J 122.261 * [taylor]: Taking taylor expansion of (cbrt -1) in J 122.261 * [taylor]: Taking taylor expansion of -1 in J 122.261 * [backup-simplify]: Simplify -1 into -1 122.261 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.262 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.262 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow J 5)) 1/3) in J 122.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow J 5))))) in J 122.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow J 5)))) in J 122.262 * [taylor]: Taking taylor expansion of 1/3 in J 122.262 * [backup-simplify]: Simplify 1/3 into 1/3 122.262 * [taylor]: Taking taylor expansion of (log (/ 1 (pow J 5))) in J 122.262 * [taylor]: Taking taylor expansion of (/ 1 (pow J 5)) in J 122.262 * [taylor]: Taking taylor expansion of (pow J 5) in J 122.262 * [taylor]: Taking taylor expansion of J in J 122.262 * [backup-simplify]: Simplify 0 into 0 122.262 * [backup-simplify]: Simplify 1 into 1 122.262 * [backup-simplify]: Simplify (* 1 1) into 1 122.262 * [backup-simplify]: Simplify (* 1 1) into 1 122.262 * [backup-simplify]: Simplify (* 1 1) into 1 122.263 * [backup-simplify]: Simplify (/ 1 1) into 1 122.263 * [backup-simplify]: Simplify (log 1) into 0 122.263 * [backup-simplify]: Simplify (+ (* (- 5) (log J)) 0) into (- (* 5 (log J))) 122.263 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log J)))) into (* -5/3 (log J)) 122.263 * [backup-simplify]: Simplify (exp (* -5/3 (log J))) into (pow J -5/3) 122.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.264 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.265 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) 122.266 * [backup-simplify]: Simplify (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow J -5/3)) into (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)) 122.267 * [backup-simplify]: Simplify (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) into (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) 122.268 * [backup-simplify]: Simplify (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) into (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) 122.269 * [backup-simplify]: Simplify (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) into (- (* 2 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3)))) 122.269 * [taylor]: Taking taylor expansion of 0 in J 122.269 * [backup-simplify]: Simplify 0 into 0 122.269 * [backup-simplify]: Simplify 0 into 0 122.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 122.270 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 122.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 122.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 122.272 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.273 * [backup-simplify]: Simplify (+ (* (pow J 1/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 122.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (pow J 1/3) (pow (cbrt -1) 2))))) into 0 122.274 * [taylor]: Taking taylor expansion of 0 in J 122.274 * [backup-simplify]: Simplify 0 into 0 122.274 * [backup-simplify]: Simplify 0 into 0 122.274 * [backup-simplify]: Simplify 0 into 0 122.274 * [backup-simplify]: Simplify 0 into 0 122.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 122.276 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 122.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 122.278 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 122.279 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.280 * [backup-simplify]: Simplify (+ (* (pow J 1/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 122.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (pow J 1/3) (pow (cbrt -1) 2))))) into 0 122.281 * [backup-simplify]: Simplify 0 into 0 122.281 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.283 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.283 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.285 * [backup-simplify]: Simplify (- 0) into 0 122.285 * [backup-simplify]: Simplify (+ 0 0) into 0 122.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 122.286 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.287 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 122.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 122.288 * [backup-simplify]: Simplify (+ 0 0) into 0 122.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 122.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 122.291 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 122.292 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.295 * [backup-simplify]: Simplify (- 0) into 0 122.296 * [backup-simplify]: Simplify (+ 0 0) into 0 122.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 122.299 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (pow (cbrt -1) 2)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 122.299 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))))) into 0 122.303 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow J 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow J 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow J 2)) 1)))) 6) into 0 122.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow J 2))))))) into 0 122.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow J 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 122.309 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow J 2)) 1/3) 0) (+ (* 0 (/ (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) J)) (+ (* 0 0) (* 0 (* 1/2 (* (pow (cbrt -1) 2) J)))))) into 0 122.312 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* (* (pow (cos (/ -1/2 K)) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow J 5)) 1/3))) (+ (* 0 0) (* 0 (* 1/2 (* (pow J 1/3) (pow (cbrt -1) 2))))))) into 0 122.312 * [taylor]: Taking taylor expansion of 0 in K 122.312 * [backup-simplify]: Simplify 0 into 0 122.312 * [taylor]: Taking taylor expansion of 0 in J 122.312 * [backup-simplify]: Simplify 0 into 0 122.312 * [backup-simplify]: Simplify 0 into 0 122.316 * [backup-simplify]: Simplify (+ (* (- (* 2 (* (* (pow (cos (/ -1/2 (/ 1 (- K)))) 2) (pow (cbrt -1) 2)) (pow (/ 1 (pow (/ 1 (- J)) 5)) 1/3)))) (* 1 (* 1 (/ 1 (- U))))) (* (* -1 (* (pow (/ 1 (- J)) 1/3) (pow (cbrt -1) 2))) (* 1 (* 1 (/ 1 (/ 1 (- U))))))) into (+ (* 2 (* (/ (* (pow (cos (* 1/2 K)) 2) (pow (cbrt -1) 2)) U) (pow (* (pow J 5) -1) 1/3))) (* (pow (/ -1 J) 1/3) (* (pow (cbrt -1) 2) U))) 122.316 * * * * [progress]: [ 3 / 4 ] generating series at (2) 122.317 * [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)))) 122.317 * [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 0 122.317 * [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 122.317 * [taylor]: Taking taylor expansion of -2 in J 122.317 * [backup-simplify]: Simplify -2 into -2 122.317 * [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 122.317 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 122.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 122.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 122.317 * [taylor]: Taking taylor expansion of 1/2 in J 122.317 * [backup-simplify]: Simplify 1/2 into 1/2 122.317 * [taylor]: Taking taylor expansion of K in J 122.317 * [backup-simplify]: Simplify K into K 122.317 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 122.317 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 122.317 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 122.317 * [taylor]: Taking taylor expansion of J in J 122.317 * [backup-simplify]: Simplify 0 into 0 122.317 * [backup-simplify]: Simplify 1 into 1 122.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 122.317 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 122.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 122.317 * [taylor]: Taking taylor expansion of 1/4 in J 122.318 * [backup-simplify]: Simplify 1/4 into 1/4 122.318 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 122.318 * [taylor]: Taking taylor expansion of (pow U 2) in J 122.318 * [taylor]: Taking taylor expansion of U in J 122.318 * [backup-simplify]: Simplify U into U 122.318 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 122.318 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 122.318 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 122.318 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 122.318 * [taylor]: Taking taylor expansion of 1/2 in J 122.318 * [backup-simplify]: Simplify 1/2 into 1/2 122.318 * [taylor]: Taking taylor expansion of K in J 122.318 * [backup-simplify]: Simplify K into K 122.318 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 122.318 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 122.318 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 122.318 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 122.318 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 122.319 * [backup-simplify]: Simplify (- 0) into 0 122.319 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 122.319 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.319 * [taylor]: Taking taylor expansion of J in J 122.319 * [backup-simplify]: Simplify 0 into 0 122.319 * [backup-simplify]: Simplify 1 into 1 122.319 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.319 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 122.319 * [backup-simplify]: Simplify (* 1 1) into 1 122.320 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 122.320 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 122.320 * [taylor]: Taking taylor expansion of 1 in J 122.320 * [backup-simplify]: Simplify 1 into 1 122.320 * [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))) 122.320 * [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))) 122.321 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 122.321 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 122.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.322 * [backup-simplify]: Simplify (+ 0) into 0 122.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 122.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 122.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.324 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 122.325 * [backup-simplify]: Simplify (- 0) into 0 122.325 * [backup-simplify]: Simplify (+ 0 0) into 0 122.325 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 122.326 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 122.326 * [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 0 122.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 122.327 * [backup-simplify]: Simplify (+ 0 0) into 0 122.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 122.328 * [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 122.328 * [taylor]: Taking taylor expansion of -2 in K 122.328 * [backup-simplify]: Simplify -2 into -2 122.328 * [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 122.328 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 122.328 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 122.328 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 122.328 * [taylor]: Taking taylor expansion of 1/2 in K 122.328 * [backup-simplify]: Simplify 1/2 into 1/2 122.328 * [taylor]: Taking taylor expansion of K in K 122.328 * [backup-simplify]: Simplify 0 into 0 122.328 * [backup-simplify]: Simplify 1 into 1 122.329 * [backup-simplify]: Simplify (* 1/2 0) into 0 122.329 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 122.329 * [taylor]: Taking taylor expansion of J in K 122.329 * [backup-simplify]: Simplify J into J 122.329 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 122.329 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 122.329 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 122.330 * [taylor]: Taking taylor expansion of 1/4 in K 122.330 * [backup-simplify]: Simplify 1/4 into 1/4 122.330 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 122.330 * [taylor]: Taking taylor expansion of (pow U 2) in K 122.330 * [taylor]: Taking taylor expansion of U in K 122.330 * [backup-simplify]: Simplify U into U 122.330 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 122.330 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 122.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 122.330 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 122.330 * [taylor]: Taking taylor expansion of 1/2 in K 122.330 * [backup-simplify]: Simplify 1/2 into 1/2 122.330 * [taylor]: Taking taylor expansion of K in K 122.330 * [backup-simplify]: Simplify 0 into 0 122.330 * [backup-simplify]: Simplify 1 into 1 122.331 * [backup-simplify]: Simplify (* 1/2 0) into 0 122.331 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 122.331 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.332 * [taylor]: Taking taylor expansion of J in K 122.332 * [backup-simplify]: Simplify J into J 122.332 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.332 * [backup-simplify]: Simplify (* 1 1) into 1 122.332 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.332 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 122.332 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 122.332 * [taylor]: Taking taylor expansion of 1 in K 122.332 * [backup-simplify]: Simplify 1 into 1 122.332 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 122.332 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 122.332 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 122.333 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 122.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.333 * [backup-simplify]: Simplify (+ 0) into 0 122.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 122.334 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 122.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 122.334 * [backup-simplify]: Simplify (+ 0 0) into 0 122.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 122.334 * [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 122.335 * [taylor]: Taking taylor expansion of -2 in U 122.335 * [backup-simplify]: Simplify -2 into -2 122.335 * [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 122.335 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 122.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 122.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 122.335 * [taylor]: Taking taylor expansion of 1/2 in U 122.335 * [backup-simplify]: Simplify 1/2 into 1/2 122.335 * [taylor]: Taking taylor expansion of K in U 122.335 * [backup-simplify]: Simplify K into K 122.335 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 122.335 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 122.335 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 122.335 * [taylor]: Taking taylor expansion of J in U 122.335 * [backup-simplify]: Simplify J into J 122.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 122.335 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 122.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 122.335 * [taylor]: Taking taylor expansion of 1/4 in U 122.335 * [backup-simplify]: Simplify 1/4 into 1/4 122.335 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 122.335 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.335 * [taylor]: Taking taylor expansion of U in U 122.335 * [backup-simplify]: Simplify 0 into 0 122.335 * [backup-simplify]: Simplify 1 into 1 122.335 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 122.335 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 122.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 122.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 122.335 * [taylor]: Taking taylor expansion of 1/2 in U 122.335 * [backup-simplify]: Simplify 1/2 into 1/2 122.335 * [taylor]: Taking taylor expansion of K in U 122.335 * [backup-simplify]: Simplify K into K 122.335 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 122.335 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 122.335 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 122.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 122.335 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 122.336 * [backup-simplify]: Simplify (- 0) into 0 122.336 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 122.336 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.336 * [taylor]: Taking taylor expansion of J in U 122.336 * [backup-simplify]: Simplify J into J 122.336 * [backup-simplify]: Simplify (* 1 1) into 1 122.336 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 122.336 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.336 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 122.336 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 122.336 * [taylor]: Taking taylor expansion of 1 in U 122.336 * [backup-simplify]: Simplify 1 into 1 122.337 * [backup-simplify]: Simplify (+ 0 1) into 1 122.337 * [backup-simplify]: Simplify (sqrt 1) into 1 122.337 * [backup-simplify]: Simplify (+ 0 0) into 0 122.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 122.337 * [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 122.338 * [taylor]: Taking taylor expansion of -2 in U 122.338 * [backup-simplify]: Simplify -2 into -2 122.338 * [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 122.338 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 122.338 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 122.338 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 122.338 * [taylor]: Taking taylor expansion of 1/2 in U 122.338 * [backup-simplify]: Simplify 1/2 into 1/2 122.338 * [taylor]: Taking taylor expansion of K in U 122.338 * [backup-simplify]: Simplify K into K 122.338 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 122.338 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 122.338 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 122.338 * [taylor]: Taking taylor expansion of J in U 122.338 * [backup-simplify]: Simplify J into J 122.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 122.338 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 122.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 122.338 * [taylor]: Taking taylor expansion of 1/4 in U 122.338 * [backup-simplify]: Simplify 1/4 into 1/4 122.338 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 122.338 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.338 * [taylor]: Taking taylor expansion of U in U 122.338 * [backup-simplify]: Simplify 0 into 0 122.338 * [backup-simplify]: Simplify 1 into 1 122.338 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 122.338 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 122.338 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 122.338 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 122.338 * [taylor]: Taking taylor expansion of 1/2 in U 122.338 * [backup-simplify]: Simplify 1/2 into 1/2 122.338 * [taylor]: Taking taylor expansion of K in U 122.338 * [backup-simplify]: Simplify K into K 122.338 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 122.338 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 122.338 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 122.338 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 122.338 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 122.339 * [backup-simplify]: Simplify (- 0) into 0 122.339 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 122.339 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.339 * [taylor]: Taking taylor expansion of J in U 122.339 * [backup-simplify]: Simplify J into J 122.339 * [backup-simplify]: Simplify (* 1 1) into 1 122.339 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 122.339 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.339 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 122.339 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 122.339 * [taylor]: Taking taylor expansion of 1 in U 122.339 * [backup-simplify]: Simplify 1 into 1 122.340 * [backup-simplify]: Simplify (+ 0 1) into 1 122.340 * [backup-simplify]: Simplify (sqrt 1) into 1 122.340 * [backup-simplify]: Simplify (+ 0 0) into 0 122.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 122.341 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 122.341 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 122.341 * [backup-simplify]: Simplify (- 0) into 0 122.341 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 122.341 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 122.341 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 122.341 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 122.341 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 122.341 * [taylor]: Taking taylor expansion of -2 in K 122.341 * [backup-simplify]: Simplify -2 into -2 122.341 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 122.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 122.341 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 122.341 * [taylor]: Taking taylor expansion of 1/2 in K 122.341 * [backup-simplify]: Simplify 1/2 into 1/2 122.341 * [taylor]: Taking taylor expansion of K in K 122.341 * [backup-simplify]: Simplify 0 into 0 122.341 * [backup-simplify]: Simplify 1 into 1 122.346 * [backup-simplify]: Simplify (* 1/2 0) into 0 122.346 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 122.346 * [taylor]: Taking taylor expansion of J in K 122.346 * [backup-simplify]: Simplify J into J 122.346 * [backup-simplify]: Simplify (* 1 J) into J 122.346 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 122.346 * [taylor]: Taking taylor expansion of (* -2 J) in J 122.346 * [taylor]: Taking taylor expansion of -2 in J 122.346 * [backup-simplify]: Simplify -2 into -2 122.346 * [taylor]: Taking taylor expansion of J in J 122.346 * [backup-simplify]: Simplify 0 into 0 122.347 * [backup-simplify]: Simplify 1 into 1 122.347 * [backup-simplify]: Simplify (+ 0) into 0 122.347 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 122.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 122.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.348 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 122.348 * [backup-simplify]: Simplify (- 0) into 0 122.349 * [backup-simplify]: Simplify (+ 0 0) into 0 122.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 122.349 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 122.349 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 122.349 * [taylor]: Taking taylor expansion of 0 in K 122.349 * [backup-simplify]: Simplify 0 into 0 122.349 * [taylor]: Taking taylor expansion of 0 in J 122.349 * [backup-simplify]: Simplify 0 into 0 122.350 * [backup-simplify]: Simplify (+ 0) into 0 122.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 122.350 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 122.350 * [taylor]: Taking taylor expansion of 0 in J 122.350 * [backup-simplify]: Simplify 0 into 0 122.351 * [backup-simplify]: Simplify (* -2 0) into 0 122.351 * [backup-simplify]: Simplify 0 into 0 122.351 * [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))) 122.351 * [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)))) 122.352 * [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))) 122.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 122.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.354 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.354 * [backup-simplify]: Simplify (- 0) into 0 122.355 * [backup-simplify]: Simplify (+ 0 0) into 0 122.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 122.355 * [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))) 122.356 * [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)))) 122.356 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 122.356 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 122.356 * [taylor]: Taking taylor expansion of 1/4 in K 122.356 * [backup-simplify]: Simplify 1/4 into 1/4 122.356 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 122.356 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 122.356 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 122.356 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 122.356 * [taylor]: Taking taylor expansion of 1/2 in K 122.356 * [backup-simplify]: Simplify 1/2 into 1/2 122.356 * [taylor]: Taking taylor expansion of K in K 122.356 * [backup-simplify]: Simplify 0 into 0 122.356 * [backup-simplify]: Simplify 1 into 1 122.356 * [backup-simplify]: Simplify (* 1/2 0) into 0 122.357 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 122.357 * [taylor]: Taking taylor expansion of J in K 122.357 * [backup-simplify]: Simplify J into J 122.357 * [backup-simplify]: Simplify (* 1 J) into J 122.357 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 122.357 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 122.357 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 122.357 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 122.357 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 122.357 * [taylor]: Taking taylor expansion of 1/4 in J 122.357 * [backup-simplify]: Simplify 1/4 into 1/4 122.357 * [taylor]: Taking taylor expansion of (/ 1 J) in J 122.357 * [taylor]: Taking taylor expansion of J in J 122.357 * [backup-simplify]: Simplify 0 into 0 122.357 * [backup-simplify]: Simplify 1 into 1 122.357 * [backup-simplify]: Simplify (/ 1 1) into 1 122.358 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 122.358 * [backup-simplify]: Simplify (- 1/4) into -1/4 122.358 * [backup-simplify]: Simplify -1/4 into -1/4 122.358 * [taylor]: Taking taylor expansion of 0 in J 122.358 * [backup-simplify]: Simplify 0 into 0 122.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 122.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 122.359 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 122.359 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 122.359 * [taylor]: Taking taylor expansion of 1/4 in J 122.359 * [backup-simplify]: Simplify 1/4 into 1/4 122.359 * [taylor]: Taking taylor expansion of J in J 122.359 * [backup-simplify]: Simplify 0 into 0 122.359 * [backup-simplify]: Simplify 1 into 1 122.359 * [backup-simplify]: Simplify 0 into 0 122.360 * [backup-simplify]: Simplify 0 into 0 122.360 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 122.360 * [backup-simplify]: Simplify -2 into -2 122.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.361 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.361 * [backup-simplify]: Simplify (+ 0) into 0 122.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 122.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 122.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.364 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 122.364 * [backup-simplify]: Simplify (- 0) into 0 122.364 * [backup-simplify]: Simplify (+ 0 0) into 0 122.365 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 122.365 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 122.366 * [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 0 122.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 122.367 * [backup-simplify]: Simplify (+ 0 0) into 0 122.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 122.369 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.370 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 122.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.373 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.374 * [backup-simplify]: Simplify (- 0) into 0 122.374 * [backup-simplify]: Simplify (+ 0 0) into 0 122.375 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.376 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 122.377 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 122.377 * [taylor]: Taking taylor expansion of 0 in K 122.377 * [backup-simplify]: Simplify 0 into 0 122.377 * [taylor]: Taking taylor expansion of 0 in J 122.377 * [backup-simplify]: Simplify 0 into 0 122.377 * [backup-simplify]: Simplify (+ 0) into 0 122.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 122.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 122.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 122.379 * [backup-simplify]: Simplify (- 0) into 0 122.379 * [taylor]: Taking taylor expansion of 0 in J 122.379 * [backup-simplify]: Simplify 0 into 0 122.379 * [taylor]: Taking taylor expansion of 0 in J 122.379 * [backup-simplify]: Simplify 0 into 0 122.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 122.381 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 122.384 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 122.384 * [taylor]: Taking taylor expansion of 0 in J 122.384 * [backup-simplify]: Simplify 0 into 0 122.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 122.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 122.386 * [backup-simplify]: Simplify (- 0) into 0 122.386 * [backup-simplify]: Simplify 0 into 0 122.386 * [backup-simplify]: Simplify 0 into 0 122.386 * [backup-simplify]: Simplify (* 1/4 0) into 0 122.386 * [backup-simplify]: Simplify 0 into 0 122.386 * [backup-simplify]: Simplify 0 into 0 122.386 * [backup-simplify]: Simplify 0 into 0 122.387 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 122.387 * [backup-simplify]: Simplify 0 into 0 122.388 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 122.389 * [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))) 122.389 * [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 0 122.389 * [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 122.389 * [taylor]: Taking taylor expansion of -2 in J 122.389 * [backup-simplify]: Simplify -2 into -2 122.389 * [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 122.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 122.390 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 122.390 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 122.390 * [taylor]: Taking taylor expansion of 1/4 in J 122.390 * [backup-simplify]: Simplify 1/4 into 1/4 122.390 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 122.390 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.390 * [taylor]: Taking taylor expansion of J in J 122.390 * [backup-simplify]: Simplify 0 into 0 122.390 * [backup-simplify]: Simplify 1 into 1 122.390 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 122.390 * [taylor]: Taking taylor expansion of (pow U 2) in J 122.390 * [taylor]: Taking taylor expansion of U in J 122.390 * [backup-simplify]: Simplify U into U 122.390 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 122.390 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 122.390 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 122.390 * [taylor]: Taking taylor expansion of 1/2 in J 122.390 * [backup-simplify]: Simplify 1/2 into 1/2 122.390 * [taylor]: Taking taylor expansion of K in J 122.390 * [backup-simplify]: Simplify K into K 122.390 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.390 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.390 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.390 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.390 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.391 * [backup-simplify]: Simplify (- 0) into 0 122.391 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.391 * [backup-simplify]: Simplify (* 1 1) into 1 122.392 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.392 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.392 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 122.392 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 122.392 * [taylor]: Taking taylor expansion of 1 in J 122.392 * [backup-simplify]: Simplify 1 into 1 122.393 * [backup-simplify]: Simplify (+ 0 1) into 1 122.393 * [backup-simplify]: Simplify (sqrt 1) into 1 122.393 * [backup-simplify]: Simplify (+ 0 0) into 0 122.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 122.394 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 122.394 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 122.394 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 122.394 * [taylor]: Taking taylor expansion of 1/2 in J 122.394 * [backup-simplify]: Simplify 1/2 into 1/2 122.394 * [taylor]: Taking taylor expansion of K in J 122.394 * [backup-simplify]: Simplify K into K 122.394 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.394 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.394 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.395 * [taylor]: Taking taylor expansion of J in J 122.395 * [backup-simplify]: Simplify 0 into 0 122.395 * [backup-simplify]: Simplify 1 into 1 122.395 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.395 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.395 * [backup-simplify]: Simplify (- 0) into 0 122.395 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.395 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.395 * [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 122.395 * [taylor]: Taking taylor expansion of -2 in K 122.395 * [backup-simplify]: Simplify -2 into -2 122.395 * [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 122.396 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 122.396 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 122.396 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 122.396 * [taylor]: Taking taylor expansion of 1/4 in K 122.396 * [backup-simplify]: Simplify 1/4 into 1/4 122.396 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 122.396 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.396 * [taylor]: Taking taylor expansion of J in K 122.396 * [backup-simplify]: Simplify J into J 122.396 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 122.396 * [taylor]: Taking taylor expansion of (pow U 2) in K 122.396 * [taylor]: Taking taylor expansion of U in K 122.396 * [backup-simplify]: Simplify U into U 122.396 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 122.396 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 122.396 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 122.396 * [taylor]: Taking taylor expansion of 1/2 in K 122.396 * [backup-simplify]: Simplify 1/2 into 1/2 122.396 * [taylor]: Taking taylor expansion of K in K 122.396 * [backup-simplify]: Simplify 0 into 0 122.396 * [backup-simplify]: Simplify 1 into 1 122.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 122.397 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.397 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.397 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.397 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.397 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 122.397 * [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))) 122.397 * [taylor]: Taking taylor expansion of 1 in K 122.397 * [backup-simplify]: Simplify 1 into 1 122.398 * [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)))) 122.398 * [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) 122.398 * [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)) 122.398 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.399 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 122.399 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 122.399 * [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 0 122.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 122.401 * [backup-simplify]: Simplify (+ 0 0) into 0 122.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 122.401 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 122.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 122.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 122.401 * [taylor]: Taking taylor expansion of 1/2 in K 122.401 * [backup-simplify]: Simplify 1/2 into 1/2 122.401 * [taylor]: Taking taylor expansion of K in K 122.401 * [backup-simplify]: Simplify 0 into 0 122.401 * [backup-simplify]: Simplify 1 into 1 122.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 122.402 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.402 * [taylor]: Taking taylor expansion of J in K 122.402 * [backup-simplify]: Simplify J into J 122.402 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 122.402 * [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 122.402 * [taylor]: Taking taylor expansion of -2 in U 122.402 * [backup-simplify]: Simplify -2 into -2 122.402 * [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 122.402 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 122.402 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 122.402 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 122.402 * [taylor]: Taking taylor expansion of 1/4 in U 122.402 * [backup-simplify]: Simplify 1/4 into 1/4 122.402 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 122.402 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.402 * [taylor]: Taking taylor expansion of J in U 122.402 * [backup-simplify]: Simplify J into J 122.402 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 122.402 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.403 * [taylor]: Taking taylor expansion of U in U 122.403 * [backup-simplify]: Simplify 0 into 0 122.403 * [backup-simplify]: Simplify 1 into 1 122.403 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 122.403 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.403 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.403 * [taylor]: Taking taylor expansion of 1/2 in U 122.403 * [backup-simplify]: Simplify 1/2 into 1/2 122.403 * [taylor]: Taking taylor expansion of K in U 122.403 * [backup-simplify]: Simplify K into K 122.403 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.403 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.403 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.403 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.403 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.404 * [backup-simplify]: Simplify (- 0) into 0 122.404 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.404 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.404 * [backup-simplify]: Simplify (* 1 1) into 1 122.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.404 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 122.405 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 122.405 * [taylor]: Taking taylor expansion of 1 in U 122.405 * [backup-simplify]: Simplify 1 into 1 122.405 * [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))) 122.405 * [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))) 122.405 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 122.405 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.406 * [backup-simplify]: Simplify (+ 0) into 0 122.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 122.406 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 122.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 122.408 * [backup-simplify]: Simplify (- 0) into 0 122.408 * [backup-simplify]: Simplify (+ 0 0) into 0 122.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 122.410 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 122.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 122.411 * [backup-simplify]: Simplify (+ 0 0) into 0 122.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 122.412 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 122.412 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.412 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.412 * [taylor]: Taking taylor expansion of 1/2 in U 122.412 * [backup-simplify]: Simplify 1/2 into 1/2 122.412 * [taylor]: Taking taylor expansion of K in U 122.412 * [backup-simplify]: Simplify K into K 122.412 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.412 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.412 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.412 * [taylor]: Taking taylor expansion of J in U 122.412 * [backup-simplify]: Simplify J into J 122.412 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.412 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.413 * [backup-simplify]: Simplify (- 0) into 0 122.413 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.413 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 122.413 * [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 122.413 * [taylor]: Taking taylor expansion of -2 in U 122.413 * [backup-simplify]: Simplify -2 into -2 122.413 * [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 122.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 122.413 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 122.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 122.413 * [taylor]: Taking taylor expansion of 1/4 in U 122.413 * [backup-simplify]: Simplify 1/4 into 1/4 122.413 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 122.413 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.413 * [taylor]: Taking taylor expansion of J in U 122.413 * [backup-simplify]: Simplify J into J 122.413 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 122.413 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.413 * [taylor]: Taking taylor expansion of U in U 122.413 * [backup-simplify]: Simplify 0 into 0 122.413 * [backup-simplify]: Simplify 1 into 1 122.413 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 122.413 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.413 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.413 * [taylor]: Taking taylor expansion of 1/2 in U 122.413 * [backup-simplify]: Simplify 1/2 into 1/2 122.413 * [taylor]: Taking taylor expansion of K in U 122.414 * [backup-simplify]: Simplify K into K 122.414 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.414 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.414 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.414 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.414 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.414 * [backup-simplify]: Simplify (- 0) into 0 122.414 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.415 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.415 * [backup-simplify]: Simplify (* 1 1) into 1 122.415 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.415 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 122.415 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 122.415 * [taylor]: Taking taylor expansion of 1 in U 122.415 * [backup-simplify]: Simplify 1 into 1 122.416 * [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))) 122.416 * [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))) 122.416 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 122.416 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.417 * [backup-simplify]: Simplify (+ 0) into 0 122.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 122.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 122.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 122.419 * [backup-simplify]: Simplify (- 0) into 0 122.419 * [backup-simplify]: Simplify (+ 0 0) into 0 122.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 122.421 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 122.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 122.422 * [backup-simplify]: Simplify (+ 0 0) into 0 122.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 122.423 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 122.423 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 122.423 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 122.423 * [taylor]: Taking taylor expansion of 1/2 in U 122.423 * [backup-simplify]: Simplify 1/2 into 1/2 122.423 * [taylor]: Taking taylor expansion of K in U 122.423 * [backup-simplify]: Simplify K into K 122.423 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.423 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.423 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.423 * [taylor]: Taking taylor expansion of J in U 122.423 * [backup-simplify]: Simplify J into J 122.423 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.423 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.423 * [backup-simplify]: Simplify (- 0) into 0 122.424 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.424 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 122.424 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 122.424 * [backup-simplify]: Simplify (* -2 1/2) into -1 122.424 * [taylor]: Taking taylor expansion of -1 in K 122.424 * [backup-simplify]: Simplify -1 into -1 122.425 * [taylor]: Taking taylor expansion of -1 in J 122.425 * [backup-simplify]: Simplify -1 into -1 122.425 * [backup-simplify]: Simplify (+ 0) into 0 122.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 122.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 122.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 122.427 * [backup-simplify]: Simplify (- 0) into 0 122.428 * [backup-simplify]: Simplify (+ 0 0) into 0 122.428 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 122.428 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 122.429 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 122.429 * [taylor]: Taking taylor expansion of 0 in K 122.429 * [backup-simplify]: Simplify 0 into 0 122.429 * [taylor]: Taking taylor expansion of 0 in J 122.429 * [backup-simplify]: Simplify 0 into 0 122.429 * [taylor]: Taking taylor expansion of 0 in J 122.429 * [backup-simplify]: Simplify 0 into 0 122.429 * [backup-simplify]: Simplify -1 into -1 122.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.431 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.432 * [backup-simplify]: Simplify (- 0) into 0 122.433 * [backup-simplify]: Simplify (+ 0 0) into 0 122.433 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 122.433 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 122.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.434 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.436 * [backup-simplify]: Simplify (- 0) into 0 122.436 * [backup-simplify]: Simplify (+ 0 0) into 0 122.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 122.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 122.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 122.438 * [backup-simplify]: 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 0 122.438 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 122.438 * [backup-simplify]: Simplify (+ 0 1) into 1 122.439 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 122.439 * [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)) 122.440 * [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)))) 122.440 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 122.440 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 122.440 * [taylor]: Taking taylor expansion of 2 in K 122.440 * [backup-simplify]: Simplify 2 into 2 122.440 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 122.440 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 122.440 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 122.440 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 122.440 * [taylor]: Taking taylor expansion of 1/2 in K 122.440 * [backup-simplify]: Simplify 1/2 into 1/2 122.440 * [taylor]: Taking taylor expansion of K in K 122.440 * [backup-simplify]: Simplify 0 into 0 122.440 * [backup-simplify]: Simplify 1 into 1 122.441 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 122.441 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.441 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.441 * [taylor]: Taking taylor expansion of J in K 122.441 * [backup-simplify]: Simplify J into J 122.441 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.441 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.441 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 122.441 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 122.441 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 122.441 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 122.441 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 122.441 * [taylor]: Taking taylor expansion of 2 in J 122.441 * [backup-simplify]: Simplify 2 into 2 122.441 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 122.441 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 122.441 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 122.441 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 122.441 * [taylor]: Taking taylor expansion of 1/2 in J 122.441 * [backup-simplify]: Simplify 1/2 into 1/2 122.441 * [taylor]: Taking taylor expansion of K in J 122.441 * [backup-simplify]: Simplify K into K 122.441 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 122.441 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 122.442 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 122.442 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 122.442 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 122.442 * [backup-simplify]: Simplify (- 0) into 0 122.442 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 122.442 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.442 * [taylor]: Taking taylor expansion of J in J 122.442 * [backup-simplify]: Simplify 0 into 0 122.442 * [backup-simplify]: Simplify 1 into 1 122.442 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 122.442 * [backup-simplify]: Simplify (* 1 1) into 1 122.442 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 122.443 * [backup-simplify]: Simplify (+ 0) into 0 122.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 122.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 122.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 122.444 * [backup-simplify]: Simplify (- 0) into 0 122.444 * [backup-simplify]: Simplify (+ 0 0) into 0 122.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 122.446 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 122.446 * [backup-simplify]: Simplify (- 0) into 0 122.446 * [backup-simplify]: Simplify 0 into 0 122.446 * [taylor]: Taking taylor expansion of 0 in J 122.446 * [backup-simplify]: Simplify 0 into 0 122.446 * [taylor]: Taking taylor expansion of 0 in J 122.446 * [backup-simplify]: Simplify 0 into 0 122.446 * [backup-simplify]: Simplify 0 into 0 122.446 * [backup-simplify]: Simplify 0 into 0 122.446 * [backup-simplify]: Simplify 0 into 0 122.447 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.447 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.447 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.449 * [backup-simplify]: Simplify (- 0) into 0 122.449 * [backup-simplify]: Simplify (+ 0 0) into 0 122.449 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 122.450 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.450 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.452 * [backup-simplify]: Simplify (- 0) into 0 122.453 * [backup-simplify]: Simplify (+ 0 0) into 0 122.453 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 122.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 122.455 * [backup-simplify]: 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 0 122.456 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 122.456 * [backup-simplify]: Simplify (+ 0 0) into 0 122.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 122.457 * [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 0 122.457 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 122.457 * [taylor]: Taking taylor expansion of 0 in K 122.457 * [backup-simplify]: Simplify 0 into 0 122.457 * [taylor]: Taking taylor expansion of 0 in J 122.457 * [backup-simplify]: Simplify 0 into 0 122.458 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 122.458 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.458 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 122.458 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 122.458 * [backup-simplify]: Simplify (- 0) into 0 122.458 * [taylor]: Taking taylor expansion of 0 in J 122.459 * [backup-simplify]: Simplify 0 into 0 122.459 * [taylor]: Taking taylor expansion of 0 in J 122.459 * [backup-simplify]: Simplify 0 into 0 122.459 * [taylor]: Taking taylor expansion of 0 in J 122.459 * [backup-simplify]: Simplify 0 into 0 122.459 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.460 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.460 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.460 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.460 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.461 * [backup-simplify]: Simplify (- 0) into 0 122.461 * [backup-simplify]: Simplify (+ 0 0) into 0 122.461 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 122.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 122.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 122.468 * [backup-simplify]: Simplify (- 0) into 0 122.468 * [backup-simplify]: Simplify 0 into 0 122.469 * [backup-simplify]: Simplify 0 into 0 122.469 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 122.470 * [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)))))))) 122.470 * [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 0 122.470 * [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 122.470 * [taylor]: Taking taylor expansion of -2 in J 122.470 * [backup-simplify]: Simplify -2 into -2 122.470 * [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 122.470 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in J 122.470 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in J 122.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 122.470 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 122.470 * [taylor]: Taking taylor expansion of -1/2 in J 122.471 * [backup-simplify]: Simplify -1/2 into -1/2 122.471 * [taylor]: Taking taylor expansion of K in J 122.471 * [backup-simplify]: Simplify K into K 122.471 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.471 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.471 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.471 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in J 122.471 * [taylor]: Taking taylor expansion of (cbrt -1) in J 122.471 * [taylor]: Taking taylor expansion of -1 in J 122.471 * [backup-simplify]: Simplify -1 into -1 122.472 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.473 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.473 * [taylor]: Taking taylor expansion of J in J 122.473 * [backup-simplify]: Simplify 0 into 0 122.473 * [backup-simplify]: Simplify 1 into 1 122.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.473 * [backup-simplify]: Simplify (- 0) into 0 122.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.475 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.477 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 122.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 122.478 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 122.478 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 122.478 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 122.478 * [taylor]: Taking taylor expansion of 1 in J 122.478 * [backup-simplify]: Simplify 1 into 1 122.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 122.478 * [taylor]: Taking taylor expansion of 1/4 in J 122.478 * [backup-simplify]: Simplify 1/4 into 1/4 122.478 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 122.478 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.478 * [taylor]: Taking taylor expansion of J in J 122.478 * [backup-simplify]: Simplify 0 into 0 122.478 * [backup-simplify]: Simplify 1 into 1 122.478 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 122.478 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 122.478 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 122.478 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 122.478 * [taylor]: Taking taylor expansion of -1/2 in J 122.478 * [backup-simplify]: Simplify -1/2 into -1/2 122.479 * [taylor]: Taking taylor expansion of K in J 122.479 * [backup-simplify]: Simplify K into K 122.479 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.479 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.479 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.479 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.479 * [backup-simplify]: Simplify (- 0) into 0 122.479 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.479 * [taylor]: Taking taylor expansion of (pow U 2) in J 122.479 * [taylor]: Taking taylor expansion of U in J 122.480 * [backup-simplify]: Simplify U into U 122.480 * [backup-simplify]: Simplify (* 1 1) into 1 122.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.480 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.480 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 122.480 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 122.481 * [backup-simplify]: Simplify (+ 1 0) into 1 122.481 * [backup-simplify]: Simplify (sqrt 1) into 1 122.482 * [backup-simplify]: Simplify (+ 0 0) into 0 122.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 122.483 * [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 122.483 * [taylor]: Taking taylor expansion of -2 in K 122.483 * [backup-simplify]: Simplify -2 into -2 122.483 * [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 122.483 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in K 122.483 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in K 122.483 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 122.483 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 122.483 * [taylor]: Taking taylor expansion of -1/2 in K 122.483 * [backup-simplify]: Simplify -1/2 into -1/2 122.483 * [taylor]: Taking taylor expansion of K in K 122.483 * [backup-simplify]: Simplify 0 into 0 122.483 * [backup-simplify]: Simplify 1 into 1 122.483 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 122.484 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.484 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in K 122.484 * [taylor]: Taking taylor expansion of (cbrt -1) in K 122.484 * [taylor]: Taking taylor expansion of -1 in K 122.484 * [backup-simplify]: Simplify -1 into -1 122.484 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.485 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.485 * [taylor]: Taking taylor expansion of J in K 122.485 * [backup-simplify]: Simplify J into J 122.487 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.489 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 122.490 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 122.490 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 122.490 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 122.490 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 122.490 * [taylor]: Taking taylor expansion of 1 in K 122.490 * [backup-simplify]: Simplify 1 into 1 122.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 122.490 * [taylor]: Taking taylor expansion of 1/4 in K 122.490 * [backup-simplify]: Simplify 1/4 into 1/4 122.490 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 122.490 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.490 * [taylor]: Taking taylor expansion of J in K 122.491 * [backup-simplify]: Simplify J into J 122.491 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 122.491 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 122.491 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 122.491 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 122.491 * [taylor]: Taking taylor expansion of -1/2 in K 122.491 * [backup-simplify]: Simplify -1/2 into -1/2 122.491 * [taylor]: Taking taylor expansion of K in K 122.491 * [backup-simplify]: Simplify 0 into 0 122.491 * [backup-simplify]: Simplify 1 into 1 122.491 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 122.491 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.491 * [taylor]: Taking taylor expansion of (pow U 2) in K 122.491 * [taylor]: Taking taylor expansion of U in K 122.491 * [backup-simplify]: Simplify U into U 122.491 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.492 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.492 * [backup-simplify]: Simplify (* U U) into (pow U 2) 122.492 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 122.492 * [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))) 122.492 * [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)))) 122.493 * [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))))) 122.493 * [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)))))) 122.493 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.493 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 122.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.494 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 122.494 * [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 0 122.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 122.495 * [backup-simplify]: Simplify (+ 0 0) into 0 122.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 122.496 * [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 122.496 * [taylor]: Taking taylor expansion of -2 in U 122.496 * [backup-simplify]: Simplify -2 into -2 122.496 * [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 122.496 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 122.496 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 122.496 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.496 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.496 * [taylor]: Taking taylor expansion of -1/2 in U 122.496 * [backup-simplify]: Simplify -1/2 into -1/2 122.496 * [taylor]: Taking taylor expansion of K in U 122.496 * [backup-simplify]: Simplify K into K 122.496 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.496 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.496 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.497 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 122.497 * [taylor]: Taking taylor expansion of (cbrt -1) in U 122.497 * [taylor]: Taking taylor expansion of -1 in U 122.497 * [backup-simplify]: Simplify -1 into -1 122.497 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.498 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.498 * [taylor]: Taking taylor expansion of J in U 122.498 * [backup-simplify]: Simplify J into J 122.498 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.498 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.498 * [backup-simplify]: Simplify (- 0) into 0 122.499 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.500 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.502 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 122.503 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 122.503 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 122.503 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 122.503 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 122.503 * [taylor]: Taking taylor expansion of 1 in U 122.503 * [backup-simplify]: Simplify 1 into 1 122.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 122.503 * [taylor]: Taking taylor expansion of 1/4 in U 122.503 * [backup-simplify]: Simplify 1/4 into 1/4 122.503 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 122.503 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.503 * [taylor]: Taking taylor expansion of J in U 122.503 * [backup-simplify]: Simplify J into J 122.503 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 122.503 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 122.504 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.504 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.504 * [taylor]: Taking taylor expansion of -1/2 in U 122.504 * [backup-simplify]: Simplify -1/2 into -1/2 122.504 * [taylor]: Taking taylor expansion of K in U 122.504 * [backup-simplify]: Simplify K into K 122.504 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.504 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.504 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.504 * [backup-simplify]: Simplify (- 0) into 0 122.505 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.505 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.505 * [taylor]: Taking taylor expansion of U in U 122.505 * [backup-simplify]: Simplify 0 into 0 122.505 * [backup-simplify]: Simplify 1 into 1 122.505 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.505 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.505 * [backup-simplify]: Simplify (* 1 1) into 1 122.505 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 122.506 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 122.506 * [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))) 122.506 * [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))) 122.506 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 122.506 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.507 * [backup-simplify]: Simplify (+ 0) into 0 122.508 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 122.508 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 122.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.509 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 122.510 * [backup-simplify]: Simplify (- 0) into 0 122.510 * [backup-simplify]: Simplify (+ 0 0) into 0 122.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.511 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 122.511 * [backup-simplify]: 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 0 122.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 122.512 * [backup-simplify]: Simplify (+ 0 0) into 0 122.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 122.513 * [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 122.513 * [taylor]: Taking taylor expansion of -2 in U 122.513 * [backup-simplify]: Simplify -2 into -2 122.513 * [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 122.513 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 122.513 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 122.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.513 * [taylor]: Taking taylor expansion of -1/2 in U 122.513 * [backup-simplify]: Simplify -1/2 into -1/2 122.513 * [taylor]: Taking taylor expansion of K in U 122.513 * [backup-simplify]: Simplify K into K 122.513 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.513 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.513 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 122.513 * [taylor]: Taking taylor expansion of (cbrt -1) in U 122.513 * [taylor]: Taking taylor expansion of -1 in U 122.513 * [backup-simplify]: Simplify -1 into -1 122.514 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.514 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.515 * [taylor]: Taking taylor expansion of J in U 122.515 * [backup-simplify]: Simplify J into J 122.515 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.515 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.515 * [backup-simplify]: Simplify (- 0) into 0 122.515 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.517 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 122.519 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 122.520 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 122.520 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 122.520 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 122.520 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 122.520 * [taylor]: Taking taylor expansion of 1 in U 122.520 * [backup-simplify]: Simplify 1 into 1 122.520 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 122.520 * [taylor]: Taking taylor expansion of 1/4 in U 122.520 * [backup-simplify]: Simplify 1/4 into 1/4 122.520 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 122.521 * [taylor]: Taking taylor expansion of (pow J 2) in U 122.521 * [taylor]: Taking taylor expansion of J in U 122.521 * [backup-simplify]: Simplify J into J 122.521 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 122.521 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 122.521 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 122.521 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 122.521 * [taylor]: Taking taylor expansion of -1/2 in U 122.521 * [backup-simplify]: Simplify -1/2 into -1/2 122.521 * [taylor]: Taking taylor expansion of K in U 122.521 * [backup-simplify]: Simplify K into K 122.521 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.521 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.521 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.521 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.522 * [backup-simplify]: Simplify (- 0) into 0 122.522 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.522 * [taylor]: Taking taylor expansion of (pow U 2) in U 122.522 * [taylor]: Taking taylor expansion of U in U 122.522 * [backup-simplify]: Simplify 0 into 0 122.522 * [backup-simplify]: Simplify 1 into 1 122.522 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.522 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.522 * [backup-simplify]: Simplify (* 1 1) into 1 122.522 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 122.523 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 122.523 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 122.523 * [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))) 122.523 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 122.523 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.525 * [backup-simplify]: Simplify (+ 0) into 0 122.525 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 122.525 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 122.526 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.526 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 122.527 * [backup-simplify]: Simplify (- 0) into 0 122.527 * [backup-simplify]: Simplify (+ 0 0) into 0 122.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.528 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 122.528 * [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))))) into 0 122.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 122.529 * [backup-simplify]: Simplify (+ 0 0) into 0 122.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 122.530 * [backup-simplify]: Simplify (* (* -1 (/ (cos (/ -1/2 K)) J)) (* 1/2 (/ J (cos (/ -1/2 K))))) into -1/2 122.530 * [backup-simplify]: Simplify (* -2 -1/2) into 1 122.530 * [taylor]: Taking taylor expansion of 1 in K 122.530 * [backup-simplify]: Simplify 1 into 1 122.530 * [taylor]: Taking taylor expansion of 1 in J 122.530 * [backup-simplify]: Simplify 1 into 1 122.531 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 122.532 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 122.533 * [backup-simplify]: Simplify (+ 0) into 0 122.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 122.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 122.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.535 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 122.535 * [backup-simplify]: Simplify (- 0) into 0 122.535 * [backup-simplify]: Simplify (+ 0 0) into 0 122.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cbrt -1) 3))) into 0 122.537 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)))) into 0 122.537 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 122.538 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 -1/2)) into 0 122.538 * [taylor]: Taking taylor expansion of 0 in K 122.538 * [backup-simplify]: Simplify 0 into 0 122.538 * [taylor]: Taking taylor expansion of 0 in J 122.538 * [backup-simplify]: Simplify 0 into 0 122.538 * [taylor]: Taking taylor expansion of 0 in J 122.538 * [backup-simplify]: Simplify 0 into 0 122.538 * [backup-simplify]: Simplify 1 into 1 122.538 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 122.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 122.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.542 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.542 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.543 * [backup-simplify]: Simplify (- 0) into 0 122.543 * [backup-simplify]: Simplify (+ 0 0) into 0 122.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 122.544 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 122.545 * [backup-simplify]: 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 0 122.546 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 122.546 * [backup-simplify]: Simplify (+ 1 0) into 1 122.547 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 122.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 122.550 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 122.551 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 122.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.553 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.554 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.555 * [backup-simplify]: Simplify (- 0) into 0 122.555 * [backup-simplify]: Simplify (+ 0 0) into 0 122.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3)))) into 0 122.557 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 122.558 * [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))) 122.559 * [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))) 122.559 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 122.559 * [taylor]: Taking taylor expansion of 2 in K 122.559 * [backup-simplify]: Simplify 2 into 2 122.559 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 122.559 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 122.559 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 122.559 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 122.559 * [taylor]: Taking taylor expansion of -1/2 in K 122.559 * [backup-simplify]: Simplify -1/2 into -1/2 122.559 * [taylor]: Taking taylor expansion of K in K 122.559 * [backup-simplify]: Simplify 0 into 0 122.559 * [backup-simplify]: Simplify 1 into 1 122.560 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 122.560 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.560 * [taylor]: Taking taylor expansion of (pow J 2) in K 122.560 * [taylor]: Taking taylor expansion of J in K 122.560 * [backup-simplify]: Simplify J into J 122.560 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.560 * [backup-simplify]: Simplify (* J J) into (pow J 2) 122.560 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 122.560 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 122.561 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 122.561 * [taylor]: Taking taylor expansion of 2 in J 122.561 * [backup-simplify]: Simplify 2 into 2 122.561 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 122.561 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 122.561 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 122.561 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 122.561 * [taylor]: Taking taylor expansion of -1/2 in J 122.561 * [backup-simplify]: Simplify -1/2 into -1/2 122.561 * [taylor]: Taking taylor expansion of K in J 122.561 * [backup-simplify]: Simplify K into K 122.561 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 122.561 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 122.561 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 122.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 122.561 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 122.562 * [backup-simplify]: Simplify (- 0) into 0 122.562 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 122.562 * [taylor]: Taking taylor expansion of (pow J 2) in J 122.562 * [taylor]: Taking taylor expansion of J in J 122.562 * [backup-simplify]: Simplify 0 into 0 122.562 * [backup-simplify]: Simplify 1 into 1 122.562 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 122.562 * [backup-simplify]: Simplify (* 1 1) into 1 122.562 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 122.563 * [backup-simplify]: Simplify (+ 0) into 0 122.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 122.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 122.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 122.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 122.565 * [backup-simplify]: Simplify (- 0) into 0 122.565 * [backup-simplify]: Simplify (+ 0 0) into 0 122.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 122.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 122.568 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 122.568 * [backup-simplify]: Simplify 0 into 0 122.568 * [taylor]: Taking taylor expansion of 0 in J 122.568 * [backup-simplify]: Simplify 0 into 0 122.568 * [taylor]: Taking taylor expansion of 0 in J 122.568 * [backup-simplify]: Simplify 0 into 0 122.568 * [backup-simplify]: Simplify 0 into 0 122.568 * [backup-simplify]: Simplify 0 into 0 122.568 * [backup-simplify]: Simplify 0 into 0 122.569 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 122.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.575 * [backup-simplify]: Simplify (- 0) into 0 122.575 * [backup-simplify]: Simplify (+ 0 0) into 0 122.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 122.577 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.578 * [backup-simplify]: 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 0 122.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 122.580 * [backup-simplify]: Simplify (+ 0 0) into 0 122.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 122.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 122.583 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 122.584 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 122.585 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 122.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 122.586 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 122.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 122.589 * [backup-simplify]: Simplify (- 0) into 0 122.589 * [backup-simplify]: Simplify (+ 0 0) into 0 122.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3))))) into 0 122.591 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 122.592 * [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 0 122.593 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 -1/2)))) into 0 122.593 * [taylor]: Taking taylor expansion of 0 in K 122.593 * [backup-simplify]: Simplify 0 into 0 122.593 * [taylor]: Taking taylor expansion of 0 in J 122.593 * [backup-simplify]: Simplify 0 into 0 122.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 122.593 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 122.594 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 122.594 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 122.594 * [taylor]: Taking taylor expansion of 0 in J 122.594 * [backup-simplify]: Simplify 0 into 0 122.595 * [taylor]: Taking taylor expansion of 0 in J 122.595 * [backup-simplify]: Simplify 0 into 0 122.595 * [taylor]: Taking taylor expansion of 0 in J 122.595 * [backup-simplify]: Simplify 0 into 0 122.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 122.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 122.597 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 122.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 122.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 122.598 * [backup-simplify]: Simplify (- 0) into 0 122.599 * [backup-simplify]: Simplify (+ 0 0) into 0 122.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 122.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 122.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.603 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 122.603 * [backup-simplify]: Simplify 0 into 0 122.603 * [backup-simplify]: Simplify 0 into 0 122.603 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 122.603 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 122.603 * [backup-simplify]: Simplify (cbrt J) into (pow J 1/3) 122.603 * [approximate]: Taking taylor expansion of (pow J 1/3) in (J) around 0 122.603 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 122.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 122.603 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 122.603 * [taylor]: Taking taylor expansion of 1/3 in J 122.603 * [backup-simplify]: Simplify 1/3 into 1/3 122.603 * [taylor]: Taking taylor expansion of (log J) in J 122.603 * [taylor]: Taking taylor expansion of J in J 122.603 * [backup-simplify]: Simplify 0 into 0 122.603 * [backup-simplify]: Simplify 1 into 1 122.604 * [backup-simplify]: Simplify (log 1) into 0 122.604 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.604 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 122.604 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 122.604 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 122.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 122.604 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 122.604 * [taylor]: Taking taylor expansion of 1/3 in J 122.605 * [backup-simplify]: Simplify 1/3 into 1/3 122.605 * [taylor]: Taking taylor expansion of (log J) in J 122.605 * [taylor]: Taking taylor expansion of J in J 122.605 * [backup-simplify]: Simplify 0 into 0 122.605 * [backup-simplify]: Simplify 1 into 1 122.605 * [backup-simplify]: Simplify (log 1) into 0 122.605 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.606 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 122.606 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 122.606 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 122.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 122.608 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 122.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 122.609 * [backup-simplify]: Simplify 0 into 0 122.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 122.612 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 122.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.614 * [backup-simplify]: Simplify 0 into 0 122.625 * [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 0 122.626 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.627 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 122.629 * [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 0 122.629 * [backup-simplify]: Simplify 0 into 0 122.641 * [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 0 122.641 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))) into 0 122.646 * [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 0 122.646 * [backup-simplify]: Simplify 0 into 0 122.665 * [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 0 122.665 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))))) into 0 122.671 * [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 0 122.671 * [backup-simplify]: Simplify 0 into 0 122.704 * [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 0 122.704 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 122.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))))) into 0 122.709 * [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 0 122.709 * [backup-simplify]: Simplify 0 into 0 122.709 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 122.709 * [backup-simplify]: Simplify (cbrt (/ 1 J)) into (pow (/ 1 J) 1/3) 122.709 * [approximate]: Taking taylor expansion of (pow (/ 1 J) 1/3) in (J) around 0 122.709 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 122.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 122.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 122.709 * [taylor]: Taking taylor expansion of 1/3 in J 122.709 * [backup-simplify]: Simplify 1/3 into 1/3 122.709 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 122.709 * [taylor]: Taking taylor expansion of (/ 1 J) in J 122.709 * [taylor]: Taking taylor expansion of J in J 122.709 * [backup-simplify]: Simplify 0 into 0 122.709 * [backup-simplify]: Simplify 1 into 1 122.709 * [backup-simplify]: Simplify (/ 1 1) into 1 122.710 * [backup-simplify]: Simplify (log 1) into 0 122.710 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.710 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 122.710 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 122.710 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 122.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 122.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 122.710 * [taylor]: Taking taylor expansion of 1/3 in J 122.710 * [backup-simplify]: Simplify 1/3 into 1/3 122.710 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 122.710 * [taylor]: Taking taylor expansion of (/ 1 J) in J 122.710 * [taylor]: Taking taylor expansion of J in J 122.710 * [backup-simplify]: Simplify 0 into 0 122.710 * [backup-simplify]: Simplify 1 into 1 122.710 * [backup-simplify]: Simplify (/ 1 1) into 1 122.711 * [backup-simplify]: Simplify (log 1) into 0 122.711 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.711 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 122.711 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 122.711 * [backup-simplify]: Simplify (pow J -1/3) into (pow J -1/3) 122.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 122.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 122.713 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 122.713 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 122.713 * [backup-simplify]: Simplify 0 into 0 122.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 122.716 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 122.717 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.717 * [backup-simplify]: Simplify 0 into 0 122.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.720 * [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 0 122.721 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 122.722 * [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 0 122.722 * [backup-simplify]: Simplify 0 into 0 122.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.729 * [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 0 122.729 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.730 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 122.732 * [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 0 122.732 * [backup-simplify]: Simplify 0 into 0 122.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.750 * [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 0 122.750 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 122.763 * [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 0 122.763 * [backup-simplify]: Simplify 0 into 0 122.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.791 * [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 0 122.791 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.793 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 122.796 * [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 0 122.796 * [backup-simplify]: Simplify 0 into 0 122.796 * [backup-simplify]: Simplify (pow (/ 1 J) -1/3) into (pow (/ 1 J) -1/3) 122.796 * [backup-simplify]: Simplify (cbrt (/ 1 (- J))) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 122.796 * [approximate]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in (J) around 0 122.796 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 122.796 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 122.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 122.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 122.796 * [taylor]: Taking taylor expansion of 1/3 in J 122.796 * [backup-simplify]: Simplify 1/3 into 1/3 122.796 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 122.796 * [taylor]: Taking taylor expansion of (/ 1 J) in J 122.796 * [taylor]: Taking taylor expansion of J in J 122.796 * [backup-simplify]: Simplify 0 into 0 122.796 * [backup-simplify]: Simplify 1 into 1 122.796 * [backup-simplify]: Simplify (/ 1 1) into 1 122.797 * [backup-simplify]: Simplify (log 1) into 0 122.797 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.797 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 122.797 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 122.797 * [taylor]: Taking taylor expansion of (cbrt -1) in J 122.797 * [taylor]: Taking taylor expansion of -1 in J 122.797 * [backup-simplify]: Simplify -1 into -1 122.798 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.798 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.798 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 122.798 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 122.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 122.798 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 122.798 * [taylor]: Taking taylor expansion of 1/3 in J 122.798 * [backup-simplify]: Simplify 1/3 into 1/3 122.798 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 122.798 * [taylor]: Taking taylor expansion of (/ 1 J) in J 122.798 * [taylor]: Taking taylor expansion of J in J 122.798 * [backup-simplify]: Simplify 0 into 0 122.798 * [backup-simplify]: Simplify 1 into 1 122.799 * [backup-simplify]: Simplify (/ 1 1) into 1 122.799 * [backup-simplify]: Simplify (log 1) into 0 122.799 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.799 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 122.799 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 122.799 * [taylor]: Taking taylor expansion of (cbrt -1) in J 122.799 * [taylor]: Taking taylor expansion of -1 in J 122.799 * [backup-simplify]: Simplify -1 into -1 122.800 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 122.800 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 122.800 * [backup-simplify]: Simplify (* (pow J -1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 122.801 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 122.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 122.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 122.802 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 122.803 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 122.804 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cbrt -1))) into 0 122.804 * [backup-simplify]: Simplify 0 into 0 122.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 122.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 122.807 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 122.809 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 122.810 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 122.810 * [backup-simplify]: Simplify 0 into 0 122.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 122.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.817 * [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 0 122.818 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 122.821 * [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 0 122.822 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 122.822 * [backup-simplify]: Simplify 0 into 0 122.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 122.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.836 * [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 0 122.837 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 122.839 * [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 0 122.840 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 122.840 * [backup-simplify]: Simplify 0 into 0 122.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 122.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.850 * [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 0 122.851 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 122.854 * [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 0 122.855 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 122.855 * [backup-simplify]: Simplify 0 into 0 122.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 122.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 122.888 * [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 0 122.888 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 122.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 122.894 * [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 0 122.895 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 122.895 * [backup-simplify]: Simplify 0 into 0 122.896 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- J))) 1/3) (cbrt -1)) into (* (pow (* J -1) 1/3) (cbrt -1)) 122.896 * * * [progress]: simplifying candidates 122.896 * * * * [progress]: [ 1 / 110 ] simplifiying candidate # 122.896 * * * * [progress]: [ 2 / 110 ] simplifiying candidate # 122.896 * * * * [progress]: [ 3 / 110 ] simplifiying candidate # 122.896 * * * * [progress]: [ 4 / 110 ] simplifiying candidate # 122.896 * * * * [progress]: [ 5 / 110 ] simplifiying candidate # 122.896 * * * * [progress]: [ 6 / 110 ] simplifiying candidate # 122.896 * * * * [progress]: [ 7 / 110 ] simplifiying candidate # 122.896 * [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)))) 122.897 * * [simplify]: iters left: 6 (15 enodes) 122.901 * * [simplify]: iters left: 5 (59 enodes) 122.911 * * [simplify]: iters left: 4 (112 enodes) 122.941 * * [simplify]: iters left: 3 (365 enodes) 123.184 * * [simplify]: Extracting #0: cost 1 inf + 0 123.184 * * [simplify]: Extracting #1: cost 4 inf + 0 123.184 * * [simplify]: Extracting #2: cost 7 inf + 0 123.184 * * [simplify]: Extracting #3: cost 10 inf + 0 123.185 * * [simplify]: Extracting #4: cost 122 inf + 1 123.186 * * [simplify]: Extracting #5: cost 241 inf + 89 123.190 * * [simplify]: Extracting #6: cost 203 inf + 3666 123.194 * * [simplify]: Extracting #7: cost 128 inf + 17960 123.212 * * [simplify]: Extracting #8: cost 13 inf + 45848 123.242 * * [simplify]: Extracting #9: cost 0 inf + 48961 123.268 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 123.268 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 123.269 * * * * [progress]: [ 8 / 110 ] simplifiying candidate # 123.269 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 123.269 * * [simplify]: iters left: 6 (14 enodes) 123.273 * * [simplify]: iters left: 5 (55 enodes) 123.283 * * [simplify]: iters left: 4 (108 enodes) 123.324 * * [simplify]: iters left: 3 (363 enodes) 123.581 * * [simplify]: Extracting #0: cost 1 inf + 0 123.581 * * [simplify]: Extracting #1: cost 3 inf + 0 123.581 * * [simplify]: Extracting #2: cost 5 inf + 0 123.581 * * [simplify]: Extracting #3: cost 8 inf + 0 123.581 * * [simplify]: Extracting #4: cost 123 inf + 1 123.584 * * [simplify]: Extracting #5: cost 234 inf + 420 123.587 * * [simplify]: Extracting #6: cost 203 inf + 3175 123.596 * * [simplify]: Extracting #7: cost 127 inf + 18949 123.621 * * [simplify]: Extracting #8: cost 7 inf + 46860 123.636 * * [simplify]: Extracting #9: cost 0 inf + 48232 123.654 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 123.654 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (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))) 123.655 * * * * [progress]: [ 9 / 110 ] simplifiying candidate # 123.655 * [simplify]: Simplifying (sqrt 1) 123.655 * * [simplify]: iters left: 1 (2 enodes) 123.657 * * [simplify]: Extracting #0: cost 1 inf + 0 123.657 * * [simplify]: Extracting #1: cost 0 inf + 1 123.657 * [simplify]: Simplified to 1 123.657 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 123.657 * * * * [progress]: [ 10 / 110 ] simplifiying candidate # 123.658 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 123.658 * * [simplify]: iters left: 6 (16 enodes) 123.664 * * [simplify]: iters left: 5 (70 enodes) 123.690 * * [simplify]: iters left: 4 (176 enodes) 123.821 * * [simplify]: Extracting #0: cost 1 inf + 0 123.821 * * [simplify]: Extracting #1: cost 3 inf + 0 123.821 * * [simplify]: Extracting #2: cost 6 inf + 0 123.821 * * [simplify]: Extracting #3: cost 103 inf + 1 123.823 * * [simplify]: Extracting #4: cost 306 inf + 6 123.824 * * [simplify]: Extracting #5: cost 338 inf + 1810 123.829 * * [simplify]: Extracting #6: cost 242 inf + 27932 123.846 * * [simplify]: Extracting #7: cost 28 inf + 100762 123.891 * * [simplify]: Extracting #8: cost 0 inf + 110036 123.923 * [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))))))) 123.923 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 123.923 * * * * [progress]: [ 11 / 110 ] simplifiying candidate # 123.923 * [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))) 123.923 * * [simplify]: iters left: 6 (15 enodes) 123.929 * * [simplify]: iters left: 5 (62 enodes) 123.950 * * [simplify]: iters left: 4 (150 enodes) 124.041 * * [simplify]: Extracting #0: cost 1 inf + 0 124.041 * * [simplify]: Extracting #1: cost 3 inf + 0 124.041 * * [simplify]: Extracting #2: cost 9 inf + 0 124.042 * * [simplify]: Extracting #3: cost 105 inf + 2 124.043 * * [simplify]: Extracting #4: cost 286 inf + 6 124.045 * * [simplify]: Extracting #5: cost 280 inf + 1923 124.058 * * [simplify]: Extracting #6: cost 191 inf + 25190 124.076 * * [simplify]: Extracting #7: cost 26 inf + 76271 124.096 * * [simplify]: Extracting #8: cost 0 inf + 85028 124.116 * [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)) 124.116 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 124.116 * * * * [progress]: [ 12 / 110 ] simplifiying candidate # 124.116 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 124.116 * * [simplify]: iters left: 6 (12 enodes) 124.120 * * [simplify]: iters left: 5 (49 enodes) 124.129 * * [simplify]: iters left: 4 (102 enodes) 124.172 * * [simplify]: iters left: 3 (356 enodes) 124.390 * * [simplify]: Extracting #0: cost 1 inf + 0 124.390 * * [simplify]: Extracting #1: cost 4 inf + 0 124.391 * * [simplify]: Extracting #2: cost 116 inf + 1 124.392 * * [simplify]: Extracting #3: cost 234 inf + 254 124.393 * * [simplify]: Extracting #4: cost 192 inf + 4198 124.398 * * [simplify]: Extracting #5: cost 121 inf + 19235 124.419 * * [simplify]: Extracting #6: cost 5 inf + 46310 124.434 * * [simplify]: Extracting #7: cost 0 inf + 47117 124.450 * * [simplify]: Extracting #8: cost 0 inf + 46998 124.483 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 124.483 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 124.484 * * * * [progress]: [ 13 / 110 ] simplifiying candidate # 124.484 * * * * [progress]: [ 14 / 110 ] simplifiying candidate # 124.484 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 124.484 * * [simplify]: iters left: 6 (13 enodes) 124.492 * * [simplify]: iters left: 5 (52 enodes) 124.510 * * [simplify]: iters left: 4 (105 enodes) 124.540 * * [simplify]: iters left: 3 (359 enodes) 124.789 * * [simplify]: Extracting #0: cost 1 inf + 0 124.789 * * [simplify]: Extracting #1: cost 3 inf + 0 124.789 * * [simplify]: Extracting #2: cost 6 inf + 0 124.789 * * [simplify]: Extracting #3: cost 118 inf + 1 124.790 * * [simplify]: Extracting #4: cost 235 inf + 336 124.792 * * [simplify]: Extracting #5: cost 193 inf + 4402 124.803 * * [simplify]: Extracting #6: cost 119 inf + 19348 124.829 * * [simplify]: Extracting #7: cost 7 inf + 46040 124.858 * * [simplify]: Extracting #8: cost 0 inf + 47488 124.887 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 124.887 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 124.887 * * * * [progress]: [ 15 / 110 ] simplifiying candidate # 124.887 * * * * [progress]: [ 16 / 110 ] 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)))> 124.887 * * * * [progress]: [ 17 / 110 ] simplifiying candidate # 124.888 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) 124.888 * * [simplify]: iters left: 6 (19 enodes) 124.899 * * [simplify]: iters left: 5 (79 enodes) 124.918 * * [simplify]: iters left: 4 (167 enodes) 124.972 * * [simplify]: iters left: 3 (499 enodes) 125.263 * * [simplify]: Extracting #0: cost 1 inf + 0 125.263 * * [simplify]: Extracting #1: cost 24 inf + 0 125.263 * * [simplify]: Extracting #2: cost 47 inf + 1 125.264 * * [simplify]: Extracting #3: cost 51 inf + 83 125.264 * * [simplify]: Extracting #4: cost 156 inf + 977 125.266 * * [simplify]: Extracting #5: cost 234 inf + 7494 125.278 * * [simplify]: Extracting #6: cost 50 inf + 46804 125.311 * * [simplify]: Extracting #7: cost 1 inf + 61521 125.334 * * [simplify]: Extracting #8: cost 0 inf + 62027 125.365 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 125.365 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 1) (cbrt J))) 125.365 * * * * [progress]: [ 18 / 110 ] simplifiying candidate # 125.365 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) 125.366 * * [simplify]: iters left: 6 (19 enodes) 125.376 * * [simplify]: iters left: 5 (79 enodes) 125.404 * * [simplify]: iters left: 4 (167 enodes) 125.463 * * [simplify]: iters left: 3 (499 enodes) 125.746 * * [simplify]: Extracting #0: cost 1 inf + 0 125.746 * * [simplify]: Extracting #1: cost 24 inf + 0 125.746 * * [simplify]: Extracting #2: cost 47 inf + 1 125.746 * * [simplify]: Extracting #3: cost 51 inf + 83 125.747 * * [simplify]: Extracting #4: cost 156 inf + 977 125.749 * * [simplify]: Extracting #5: cost 234 inf + 7494 125.761 * * [simplify]: Extracting #6: cost 50 inf + 46804 125.784 * * [simplify]: Extracting #7: cost 1 inf + 61521 125.818 * * [simplify]: Extracting #8: cost 0 inf + 62027 125.837 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 125.837 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 1) (cbrt J))) 125.837 * * * * [progress]: [ 19 / 110 ] simplifiying candidate # 125.838 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) 125.838 * * [simplify]: iters left: 6 (19 enodes) 125.843 * * [simplify]: iters left: 5 (79 enodes) 125.863 * * [simplify]: iters left: 4 (167 enodes) 125.918 * * [simplify]: iters left: 3 (499 enodes) 126.181 * * [simplify]: Extracting #0: cost 1 inf + 0 126.181 * * [simplify]: Extracting #1: cost 24 inf + 0 126.181 * * [simplify]: Extracting #2: cost 47 inf + 1 126.181 * * [simplify]: Extracting #3: cost 51 inf + 83 126.182 * * [simplify]: Extracting #4: cost 156 inf + 977 126.184 * * [simplify]: Extracting #5: cost 234 inf + 7494 126.200 * * [simplify]: Extracting #6: cost 50 inf + 46804 126.226 * * [simplify]: Extracting #7: cost 1 inf + 61521 126.246 * * [simplify]: Extracting #8: cost 0 inf + 62027 126.286 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 126.286 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 1) (cbrt J))) 126.286 * * * * [progress]: [ 20 / 110 ] simplifiying candidate # 126.286 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) 126.287 * * [simplify]: iters left: 6 (19 enodes) 126.293 * * [simplify]: iters left: 5 (79 enodes) 126.307 * * [simplify]: iters left: 4 (167 enodes) 126.349 * * [simplify]: iters left: 3 (499 enodes) 126.612 * * [simplify]: Extracting #0: cost 1 inf + 0 126.612 * * [simplify]: Extracting #1: cost 24 inf + 0 126.612 * * [simplify]: Extracting #2: cost 47 inf + 1 126.612 * * [simplify]: Extracting #3: cost 51 inf + 83 126.613 * * [simplify]: Extracting #4: cost 156 inf + 977 126.615 * * [simplify]: Extracting #5: cost 234 inf + 7494 126.627 * * [simplify]: Extracting #6: cost 50 inf + 46804 126.667 * * [simplify]: Extracting #7: cost 1 inf + 61521 126.705 * * [simplify]: Extracting #8: cost 0 inf + 62027 126.743 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 126.743 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 1) (cbrt J))) 126.743 * * * * [progress]: [ 21 / 110 ] simplifiying candidate # 126.744 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) 126.744 * * [simplify]: iters left: 6 (19 enodes) 126.752 * * [simplify]: iters left: 5 (79 enodes) 126.766 * * [simplify]: iters left: 4 (167 enodes) 126.821 * * [simplify]: iters left: 3 (499 enodes) 127.101 * * [simplify]: Extracting #0: cost 1 inf + 0 127.101 * * [simplify]: Extracting #1: cost 24 inf + 0 127.101 * * [simplify]: Extracting #2: cost 47 inf + 1 127.101 * * [simplify]: Extracting #3: cost 51 inf + 83 127.102 * * [simplify]: Extracting #4: cost 156 inf + 977 127.104 * * [simplify]: Extracting #5: cost 234 inf + 7494 127.116 * * [simplify]: Extracting #6: cost 50 inf + 46804 127.135 * * [simplify]: Extracting #7: cost 1 inf + 61521 127.173 * * [simplify]: Extracting #8: cost 0 inf + 62027 127.201 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 127.202 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 1) (cbrt J))) 127.202 * * * * [progress]: [ 22 / 110 ] simplifiying candidate # 127.202 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) 127.202 * * [simplify]: iters left: 6 (19 enodes) 127.209 * * [simplify]: iters left: 5 (79 enodes) 127.227 * * [simplify]: iters left: 4 (167 enodes) 127.294 * * [simplify]: iters left: 3 (499 enodes) 127.603 * * [simplify]: Extracting #0: cost 1 inf + 0 127.603 * * [simplify]: Extracting #1: cost 24 inf + 0 127.603 * * [simplify]: Extracting #2: cost 47 inf + 1 127.603 * * [simplify]: Extracting #3: cost 51 inf + 83 127.604 * * [simplify]: Extracting #4: cost 156 inf + 977 127.606 * * [simplify]: Extracting #5: cost 234 inf + 7494 127.619 * * [simplify]: Extracting #6: cost 50 inf + 46804 127.649 * * [simplify]: Extracting #7: cost 1 inf + 61521 127.692 * * [simplify]: Extracting #8: cost 0 inf + 62027 127.723 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 127.723 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt J) (cbrt J))) 1) (cbrt J))) 127.723 * * * * [progress]: [ 23 / 110 ] simplifiying candidate # 127.723 * * * * [progress]: [ 24 / 110 ] simplifiying candidate # 127.723 * [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)))) 127.723 * * [simplify]: iters left: 6 (23 enodes) 127.730 * * [simplify]: iters left: 5 (91 enodes) 127.747 * * [simplify]: iters left: 4 (179 enodes) 127.796 * * [simplify]: Extracting #0: cost 1 inf + 0 127.796 * * [simplify]: Extracting #1: cost 23 inf + 0 127.797 * * [simplify]: Extracting #2: cost 52 inf + 0 127.797 * * [simplify]: Extracting #3: cost 56 inf + 72 127.797 * * [simplify]: Extracting #4: cost 60 inf + 144 127.797 * * [simplify]: Extracting #5: cost 105 inf + 611 127.798 * * [simplify]: Extracting #6: cost 149 inf + 3710 127.804 * * [simplify]: Extracting #7: cost 41 inf + 32962 127.815 * * [simplify]: Extracting #8: cost 1 inf + 50159 127.826 * * [simplify]: Extracting #9: cost 0 inf + 50645 127.839 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (log (cbrt J))) (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) 127.839 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (+ (log (cbrt J)) (log (cbrt J))) (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (cbrt J))) 127.840 * * * * [progress]: [ 25 / 110 ] simplifiying candidate # 127.840 * [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)))) 127.840 * * [simplify]: iters left: 6 (23 enodes) 127.852 * * [simplify]: iters left: 5 (91 enodes) 127.877 * * [simplify]: iters left: 4 (176 enodes) 127.917 * * [simplify]: Extracting #0: cost 1 inf + 0 127.917 * * [simplify]: Extracting #1: cost 19 inf + 0 127.917 * * [simplify]: Extracting #2: cost 51 inf + 0 127.917 * * [simplify]: Extracting #3: cost 57 inf + 72 127.918 * * [simplify]: Extracting #4: cost 61 inf + 144 127.918 * * [simplify]: Extracting #5: cost 102 inf + 1377 127.919 * * [simplify]: Extracting #6: cost 148 inf + 4054 127.925 * * [simplify]: Extracting #7: cost 41 inf + 33211 127.935 * * [simplify]: Extracting #8: cost 1 inf + 49927 127.953 * * [simplify]: Extracting #9: cost 0 inf + 50284 127.971 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (log (cbrt J))) (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) 127.971 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (+ (log (cbrt J)) (log (cbrt J))) (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (cbrt J))) 127.971 * * * * [progress]: [ 26 / 110 ] simplifiying candidate # 127.971 * [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)))) 127.972 * * [simplify]: iters left: 6 (22 enodes) 127.978 * * [simplify]: iters left: 5 (89 enodes) 127.994 * * [simplify]: iters left: 4 (170 enodes) 128.062 * * [simplify]: iters left: 3 (485 enodes) 128.326 * * [simplify]: Extracting #0: cost 1 inf + 0 128.327 * * [simplify]: Extracting #1: cost 27 inf + 0 128.327 * * [simplify]: Extracting #2: cost 54 inf + 0 128.327 * * [simplify]: Extracting #3: cost 58 inf + 143 128.328 * * [simplify]: Extracting #4: cost 63 inf + 144 128.329 * * [simplify]: Extracting #5: cost 168 inf + 309 128.332 * * [simplify]: Extracting #6: cost 261 inf + 4131 128.352 * * [simplify]: Extracting #7: cost 58 inf + 47201 128.382 * * [simplify]: Extracting #8: cost 6 inf + 68035 128.415 * * [simplify]: Extracting #9: cost 0 inf + 71442 128.444 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (log (cos (/ K 2))) (log (cbrt J)))) 128.445 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (+ (log (cbrt J)) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (log (cos (/ K 2))) (log (cbrt J))))) (cbrt J))) 128.445 * * * * [progress]: [ 27 / 110 ] simplifiying candidate # 128.445 * [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)))) 128.445 * * [simplify]: iters left: 6 (22 enodes) 128.452 * * [simplify]: iters left: 5 (89 enodes) 128.470 * * [simplify]: iters left: 4 (169 enodes) 128.547 * * [simplify]: iters left: 3 (484 enodes) 128.838 * * [simplify]: Extracting #0: cost 1 inf + 0 128.839 * * [simplify]: Extracting #1: cost 24 inf + 0 128.839 * * [simplify]: Extracting #2: cost 53 inf + 0 128.839 * * [simplify]: Extracting #3: cost 58 inf + 143 128.839 * * [simplify]: Extracting #4: cost 63 inf + 144 128.840 * * [simplify]: Extracting #5: cost 170 inf + 460 128.842 * * [simplify]: Extracting #6: cost 258 inf + 4903 128.854 * * [simplify]: Extracting #7: cost 78 inf + 43333 128.881 * * [simplify]: Extracting #8: cost 9 inf + 65604 128.902 * * [simplify]: Extracting #9: cost 0 inf + 71117 128.938 * [simplify]: Simplified to (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (cos (/ K 2)))) (log (* (cbrt J) (cbrt J)))) 128.938 * [simplify]: Simplified (2 1 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)))) (log (* (cbrt J) (cbrt J))))) (cbrt J))) 128.938 * * * * [progress]: [ 28 / 110 ] simplifiying candidate # 128.939 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (+ (log (cbrt J)) (log (cbrt J)))) 128.939 * * [simplify]: iters left: 6 (21 enodes) 128.950 * * [simplify]: iters left: 5 (86 enodes) 128.982 * * [simplify]: iters left: 4 (168 enodes) 129.035 * * [simplify]: iters left: 3 (472 enodes) 129.358 * * [simplify]: Extracting #0: cost 1 inf + 0 129.358 * * [simplify]: Extracting #1: cost 35 inf + 0 129.358 * * [simplify]: Extracting #2: cost 64 inf + 0 129.359 * * [simplify]: Extracting #3: cost 73 inf + 1 129.359 * * [simplify]: Extracting #4: cost 76 inf + 225 129.359 * * [simplify]: Extracting #5: cost 184 inf + 873 129.363 * * [simplify]: Extracting #6: cost 234 inf + 16180 129.386 * * [simplify]: Extracting #7: cost 20 inf + 71901 129.409 * * [simplify]: Extracting #8: cost 0 inf + 78203 129.440 * * [simplify]: Extracting #9: cost 0 inf + 78201 129.467 * [simplify]: Simplified to (+ (log (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (cos (/ K 2)))) (+ (log (cbrt J)) (log (cbrt J)))) 129.467 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (cos (/ K 2)))) (+ (log (cbrt J)) (log (cbrt J))))) (cbrt J))) 129.467 * * * * [progress]: [ 29 / 110 ] simplifiying candidate # 129.467 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log (* (cbrt J) (cbrt J)))) 129.468 * * [simplify]: iters left: 6 (21 enodes) 129.476 * * [simplify]: iters left: 5 (86 enodes) 129.491 * * [simplify]: iters left: 4 (168 enodes) 129.540 * * [simplify]: iters left: 3 (472 enodes) 129.865 * * [simplify]: Extracting #0: cost 1 inf + 0 129.865 * * [simplify]: Extracting #1: cost 32 inf + 0 129.865 * * [simplify]: Extracting #2: cost 67 inf + 0 129.865 * * [simplify]: Extracting #3: cost 77 inf + 1 129.866 * * [simplify]: Extracting #4: cost 80 inf + 225 129.867 * * [simplify]: Extracting #5: cost 186 inf + 964 129.874 * * [simplify]: Extracting #6: cost 234 inf + 15924 129.911 * * [simplify]: Extracting #7: cost 26 inf + 69284 129.940 * * [simplify]: Extracting #8: cost 0 inf + 79873 129.961 * * [simplify]: Extracting #9: cost 0 inf + 79552 129.993 * [simplify]: Simplified to (+ (log (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (cos (/ K 2)))) (+ (log (cbrt J)) (log (cbrt J)))) 129.993 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (cos (/ K 2)))) (+ (log (cbrt J)) (log (cbrt J))))) (cbrt J))) 129.993 * * * * [progress]: [ 30 / 110 ] simplifiying candidate # 129.994 * * * * [progress]: [ 31 / 110 ] simplifiying candidate # 129.994 * * * * [progress]: [ 32 / 110 ] simplifiying candidate # 129.994 * [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)) 129.994 * * [simplify]: iters left: 6 (24 enodes) 130.008 * * [simplify]: iters left: 5 (102 enodes) 130.054 * * [simplify]: iters left: 4 (281 enodes) 130.236 * * [simplify]: Extracting #0: cost 1 inf + 0 130.237 * * [simplify]: Extracting #1: cost 50 inf + 0 130.238 * * [simplify]: Extracting #2: cost 226 inf + 44 130.240 * * [simplify]: Extracting #3: cost 331 inf + 624 130.244 * * [simplify]: Extracting #4: cost 352 inf + 5955 130.256 * * [simplify]: Extracting #5: cost 229 inf + 36075 130.292 * * [simplify]: Extracting #6: cost 78 inf + 94842 130.354 * * [simplify]: Extracting #7: cost 0 inf + 131204 130.421 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (cos (/ K 2))) (* (* (+ 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))))))) 130.421 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (cos (/ K 2))) (* (* (+ 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))) 130.421 * * * * [progress]: [ 33 / 110 ] simplifiying candidate # 130.422 * [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)))) 130.422 * * [simplify]: iters left: 6 (27 enodes) 130.437 * * [simplify]: iters left: 5 (119 enodes) 130.486 * * [simplify]: iters left: 4 (334 enodes) 130.789 * * [simplify]: Extracting #0: cost 1 inf + 0 130.789 * * [simplify]: Extracting #1: cost 83 inf + 0 130.791 * * [simplify]: Extracting #2: cost 382 inf + 85 130.795 * * [simplify]: Extracting #3: cost 465 inf + 2395 130.801 * * [simplify]: Extracting #4: cost 418 inf + 26914 130.830 * * [simplify]: Extracting #5: cost 105 inf + 146649 130.924 * * [simplify]: Extracting #6: cost 3 inf + 199854 130.991 * * [simplify]: Extracting #7: cost 0 inf + 201488 131.067 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -8) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 131.067 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (* (cos (/ K 2)) -8) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))))) (cbrt J))) 131.068 * * * * [progress]: [ 34 / 110 ] simplifiying candidate # 131.068 * [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)) 131.068 * * [simplify]: iters left: 6 (22 enodes) 131.075 * * [simplify]: iters left: 5 (102 enodes) 131.106 * * [simplify]: iters left: 4 (261 enodes) 131.217 * * [simplify]: Extracting #0: cost 1 inf + 0 131.217 * * [simplify]: Extracting #1: cost 48 inf + 0 131.218 * * [simplify]: Extracting #2: cost 204 inf + 2 131.219 * * [simplify]: Extracting #3: cost 220 inf + 170 131.220 * * [simplify]: Extracting #4: cost 249 inf + 2819 131.223 * * [simplify]: Extracting #5: cost 258 inf + 13552 131.232 * * [simplify]: Extracting #6: cost 154 inf + 42815 131.258 * * [simplify]: Extracting #7: cost 26 inf + 103169 131.292 * * [simplify]: Extracting #8: cost 0 inf + 114788 131.350 * * [simplify]: Extracting #9: cost 0 inf + 114626 131.414 * [simplify]: Simplified to (* (* (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))))))))) 131.414 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (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)))))))))) (cbrt J))) 131.414 * * * * [progress]: [ 35 / 110 ] simplifiying candidate # 131.415 * [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)))) 131.415 * * [simplify]: iters left: 6 (25 enodes) 131.430 * * [simplify]: iters left: 5 (119 enodes) 131.478 * * [simplify]: iters left: 4 (309 enodes) 131.652 * * [simplify]: Extracting #0: cost 1 inf + 0 131.653 * * [simplify]: Extracting #1: cost 58 inf + 0 131.653 * * [simplify]: Extracting #2: cost 304 inf + 43 131.655 * * [simplify]: Extracting #3: cost 319 inf + 453 131.657 * * [simplify]: Extracting #4: cost 333 inf + 6229 131.671 * * [simplify]: Extracting #5: cost 225 inf + 74117 131.745 * * [simplify]: Extracting #6: cost 8 inf + 164399 131.817 * * [simplify]: Extracting #7: cost 0 inf + 166750 131.873 * * [simplify]: Extracting #8: cost 0 inf + 166749 131.923 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 131.923 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (cbrt J))) 131.923 * * * * [progress]: [ 36 / 110 ] simplifiying candidate # 131.923 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* J J)) 131.924 * * [simplify]: iters left: 6 (20 enodes) 131.930 * * [simplify]: iters left: 5 (92 enodes) 131.950 * * [simplify]: iters left: 4 (264 enodes) 132.139 * * [simplify]: Extracting #0: cost 1 inf + 0 132.139 * * [simplify]: Extracting #1: cost 51 inf + 0 132.141 * * [simplify]: Extracting #2: cost 208 inf + 2 132.143 * * [simplify]: Extracting #3: cost 225 inf + 88 132.145 * * [simplify]: Extracting #4: cost 250 inf + 3635 132.150 * * [simplify]: Extracting #5: cost 274 inf + 10179 132.165 * * [simplify]: Extracting #6: cost 163 inf + 41721 132.195 * * [simplify]: Extracting #7: cost 23 inf + 108538 132.246 * * [simplify]: Extracting #8: cost 0 inf + 120380 132.309 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) -2) (* (cos (/ K 2)) -2)) (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* J (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (cos (/ K 2)) -2) J)))) 132.309 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (* (* (cos (/ K 2)) -2) (* (cos (/ K 2)) -2)) (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* J (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (cos (/ K 2)) -2) J))))) (cbrt J))) 132.309 * * * * [progress]: [ 37 / 110 ] simplifiying candidate # 132.309 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cbrt J))) (* (cbrt J) (cbrt J)))) 132.310 * * [simplify]: iters left: 6 (23 enodes) 132.324 * * [simplify]: iters left: 5 (109 enodes) 132.356 * * [simplify]: iters left: 4 (314 enodes) 132.479 * * [simplify]: Extracting #0: cost 1 inf + 0 132.479 * * [simplify]: Extracting #1: cost 55 inf + 0 132.480 * * [simplify]: Extracting #2: cost 303 inf + 2 132.481 * * [simplify]: Extracting #3: cost 328 inf + 692 132.487 * * [simplify]: Extracting #4: cost 347 inf + 5126 132.506 * * [simplify]: Extracting #5: cost 237 inf + 76988 132.575 * * [simplify]: Extracting #6: cost 19 inf + 170568 132.654 * * [simplify]: Extracting #7: cost 0 inf + 177662 132.723 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (cos (/ K 2)) -2) (* (cos (/ K 2)) -2))) (* J J))) 132.723 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (cos (/ K 2)) -2) (* (cos (/ K 2)) -2))) (* J J)))) (cbrt J))) 132.724 * * * * [progress]: [ 38 / 110 ] simplifiying candidate # 132.724 * * * * [progress]: [ 39 / 110 ] simplifiying candidate # 132.724 * * * * [progress]: [ 40 / 110 ] simplifiying candidate # 132.724 * * * * [progress]: [ 41 / 110 ] simplifiying candidate # 132.724 * * * * [progress]: [ 42 / 110 ] simplifiying candidate # 132.724 * [simplify]: Simplifying (cbrt J) 132.724 * * [simplify]: iters left: 1 (2 enodes) 132.725 * * [simplify]: Extracting #0: cost 1 inf + 0 132.725 * * [simplify]: Extracting #1: cost 3 inf + 0 132.725 * * [simplify]: Extracting #2: cost 2 inf + 1 132.726 * * [simplify]: Extracting #3: cost 0 inf + 163 132.726 * [simplify]: Simplified to (cbrt J) 132.726 * [simplify]: Simplified (2 1 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))) 132.726 * * * * [progress]: [ 43 / 110 ] simplifiying candidate # 132.726 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 132.726 * * [simplify]: iters left: 6 (15 enodes) 132.735 * * [simplify]: iters left: 5 (59 enodes) 132.756 * * [simplify]: iters left: 4 (112 enodes) 132.807 * * [simplify]: iters left: 3 (365 enodes) 133.054 * * [simplify]: Extracting #0: cost 1 inf + 0 133.054 * * [simplify]: Extracting #1: cost 4 inf + 0 133.054 * * [simplify]: Extracting #2: cost 5 inf + 1 133.054 * * [simplify]: Extracting #3: cost 8 inf + 1 133.054 * * [simplify]: Extracting #4: cost 121 inf + 2 133.055 * * [simplify]: Extracting #5: cost 237 inf + 214 133.057 * * [simplify]: Extracting #6: cost 202 inf + 3502 133.062 * * [simplify]: Extracting #7: cost 112 inf + 21265 133.077 * * [simplify]: Extracting #8: cost 11 inf + 45496 133.107 * * [simplify]: Extracting #9: cost 0 inf + 47914 133.142 * * [simplify]: Extracting #10: cost 0 inf + 47913 133.171 * * [simplify]: Extracting #11: cost 0 inf + 47912 133.201 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 133.201 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (cbrt J))) 133.201 * * * * [progress]: [ 44 / 110 ] simplifiying candidate # 133.202 * [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))) 133.202 * * [simplify]: iters left: 6 (22 enodes) 133.216 * * [simplify]: iters left: 5 (97 enodes) 133.255 * * [simplify]: iters left: 4 (240 enodes) 133.396 * * [simplify]: Extracting #0: cost 1 inf + 0 133.396 * * [simplify]: Extracting #1: cost 23 inf + 0 133.396 * * [simplify]: Extracting #2: cost 49 inf + 1 133.396 * * [simplify]: Extracting #3: cost 54 inf + 2 133.397 * * [simplify]: Extracting #4: cost 142 inf + 815 133.398 * * [simplify]: Extracting #5: cost 349 inf + 2292 133.409 * * [simplify]: Extracting #6: cost 263 inf + 40403 133.452 * * [simplify]: Extracting #7: cost 7 inf + 130840 133.498 * * [simplify]: Extracting #8: cost 0 inf + 132235 133.537 * [simplify]: Simplified to (* (* (cbrt J) (cbrt J)) (* (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (/ U (* (cos (/ K 2)) (* J 2))))))) (* -2 (cos (/ K 2))))) 133.537 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (/ (* (* (cbrt J) (cbrt J)) (* (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (/ U (* (cos (/ K 2)) (* J 2))))))) (* -2 (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))))) (cbrt J))) 133.538 * * * * [progress]: [ 45 / 110 ] simplifiying candidate # 133.538 * [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))) 133.538 * * [simplify]: iters left: 6 (21 enodes) 133.551 * * [simplify]: iters left: 5 (89 enodes) 133.585 * * [simplify]: iters left: 4 (214 enodes) 133.701 * * [simplify]: Extracting #0: cost 1 inf + 0 133.701 * * [simplify]: Extracting #1: cost 23 inf + 0 133.701 * * [simplify]: Extracting #2: cost 49 inf + 1 133.702 * * [simplify]: Extracting #3: cost 57 inf + 2 133.702 * * [simplify]: Extracting #4: cost 144 inf + 290 133.705 * * [simplify]: Extracting #5: cost 318 inf + 2087 133.727 * * [simplify]: Extracting #6: cost 103 inf + 69770 133.757 * * [simplify]: Extracting #7: cost 1 inf + 104109 133.792 * * [simplify]: Extracting #8: cost 0 inf + 104617 133.824 * [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)) (* (cos (/ K 2)) -2)) (* (cbrt J) (cbrt J))) 133.824 * [simplify]: Simplified (2 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)) (* (cos (/ K 2)) -2)) (* (cbrt J) (cbrt J))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt J))) 133.824 * * * * [progress]: [ 46 / 110 ] 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)))> 133.824 * * * * [progress]: [ 47 / 110 ] simplifiying candidate # 133.824 * * * * [progress]: [ 48 / 110 ] simplifiying candidate # 133.824 * [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)) 133.824 * * [simplify]: iters left: 6 (20 enodes) 133.830 * * [simplify]: iters left: 5 (85 enodes) 133.860 * * [simplify]: iters left: 4 (192 enodes) 133.926 * * [simplify]: Extracting #0: cost 1 inf + 0 133.926 * * [simplify]: Extracting #1: cost 32 inf + 0 133.926 * * [simplify]: Extracting #2: cost 67 inf + 1 133.927 * * [simplify]: Extracting #3: cost 70 inf + 84 133.927 * * [simplify]: Extracting #4: cost 113 inf + 1450 133.929 * * [simplify]: Extracting #5: cost 151 inf + 5055 133.940 * * [simplify]: Extracting #6: cost 44 inf + 31222 133.962 * * [simplify]: Extracting #7: cost 1 inf + 48473 133.985 * * [simplify]: Extracting #8: cost 0 inf + 48938 134.008 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 134.008 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 1)) 134.008 * * * * [progress]: [ 49 / 110 ] simplifiying candidate # 134.008 * [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)) 134.009 * * [simplify]: iters left: 6 (20 enodes) 134.020 * * [simplify]: iters left: 5 (85 enodes) 134.037 * * [simplify]: iters left: 4 (192 enodes) 134.101 * * [simplify]: Extracting #0: cost 1 inf + 0 134.101 * * [simplify]: Extracting #1: cost 32 inf + 0 134.101 * * [simplify]: Extracting #2: cost 67 inf + 1 134.102 * * [simplify]: Extracting #3: cost 70 inf + 84 134.102 * * [simplify]: Extracting #4: cost 113 inf + 1450 134.103 * * [simplify]: Extracting #5: cost 151 inf + 5055 134.110 * * [simplify]: Extracting #6: cost 44 inf + 31222 134.132 * * [simplify]: Extracting #7: cost 1 inf + 48473 134.159 * * [simplify]: Extracting #8: cost 0 inf + 48938 134.182 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 134.182 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 1)) 134.182 * * * * [progress]: [ 50 / 110 ] simplifiying candidate # 134.182 * [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)) 134.183 * * [simplify]: iters left: 6 (20 enodes) 134.195 * * [simplify]: iters left: 5 (85 enodes) 134.226 * * [simplify]: iters left: 4 (192 enodes) 134.294 * * [simplify]: Extracting #0: cost 1 inf + 0 134.295 * * [simplify]: Extracting #1: cost 32 inf + 0 134.295 * * [simplify]: Extracting #2: cost 67 inf + 1 134.296 * * [simplify]: Extracting #3: cost 70 inf + 84 134.296 * * [simplify]: Extracting #4: cost 113 inf + 1450 134.298 * * [simplify]: Extracting #5: cost 151 inf + 5055 134.310 * * [simplify]: Extracting #6: cost 44 inf + 31222 134.332 * * [simplify]: Extracting #7: cost 1 inf + 48473 134.355 * * [simplify]: Extracting #8: cost 0 inf + 48938 134.377 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 134.377 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 1)) 134.378 * * * * [progress]: [ 51 / 110 ] simplifiying candidate # 134.379 * [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)) 134.379 * * [simplify]: iters left: 6 (20 enodes) 134.390 * * [simplify]: iters left: 5 (85 enodes) 134.418 * * [simplify]: iters left: 4 (192 enodes) 134.488 * * [simplify]: Extracting #0: cost 1 inf + 0 134.488 * * [simplify]: Extracting #1: cost 32 inf + 0 134.488 * * [simplify]: Extracting #2: cost 67 inf + 1 134.489 * * [simplify]: Extracting #3: cost 70 inf + 84 134.490 * * [simplify]: Extracting #4: cost 113 inf + 1450 134.492 * * [simplify]: Extracting #5: cost 151 inf + 5055 134.503 * * [simplify]: Extracting #6: cost 44 inf + 31222 134.525 * * [simplify]: Extracting #7: cost 1 inf + 48473 134.549 * * [simplify]: Extracting #8: cost 0 inf + 48938 134.561 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 134.561 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 1)) 134.562 * * * * [progress]: [ 52 / 110 ] simplifiying candidate # 134.562 * [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)) 134.562 * * [simplify]: iters left: 6 (20 enodes) 134.568 * * [simplify]: iters left: 5 (85 enodes) 134.590 * * [simplify]: iters left: 4 (192 enodes) 134.656 * * [simplify]: Extracting #0: cost 1 inf + 0 134.656 * * [simplify]: Extracting #1: cost 32 inf + 0 134.657 * * [simplify]: Extracting #2: cost 67 inf + 1 134.657 * * [simplify]: Extracting #3: cost 70 inf + 84 134.657 * * [simplify]: Extracting #4: cost 113 inf + 1450 134.658 * * [simplify]: Extracting #5: cost 151 inf + 5055 134.665 * * [simplify]: Extracting #6: cost 44 inf + 31222 134.687 * * [simplify]: Extracting #7: cost 1 inf + 48473 134.701 * * [simplify]: Extracting #8: cost 0 inf + 48938 134.713 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 134.713 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 1)) 134.713 * * * * [progress]: [ 53 / 110 ] simplifiying candidate # 134.713 * [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)) 134.713 * * [simplify]: iters left: 6 (20 enodes) 134.719 * * [simplify]: iters left: 5 (85 enodes) 134.756 * * [simplify]: iters left: 4 (192 enodes) 134.834 * * [simplify]: Extracting #0: cost 1 inf + 0 134.834 * * [simplify]: Extracting #1: cost 32 inf + 0 134.835 * * [simplify]: Extracting #2: cost 67 inf + 1 134.835 * * [simplify]: Extracting #3: cost 70 inf + 84 134.835 * * [simplify]: Extracting #4: cost 113 inf + 1450 134.837 * * [simplify]: Extracting #5: cost 151 inf + 5055 134.842 * * [simplify]: Extracting #6: cost 44 inf + 31222 134.862 * * [simplify]: Extracting #7: cost 1 inf + 48473 134.885 * * [simplify]: Extracting #8: cost 0 inf + 48938 134.902 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 134.902 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 1)) 134.902 * * * * [progress]: [ 54 / 110 ] simplifiying candidate # 134.903 * [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)) 134.903 * * [simplify]: iters left: 6 (20 enodes) 134.909 * * [simplify]: iters left: 5 (85 enodes) 134.926 * * [simplify]: iters left: 4 (192 enodes) 134.991 * * [simplify]: Extracting #0: cost 1 inf + 0 134.991 * * [simplify]: Extracting #1: cost 32 inf + 0 134.992 * * [simplify]: Extracting #2: cost 67 inf + 1 134.992 * * [simplify]: Extracting #3: cost 70 inf + 84 134.992 * * [simplify]: Extracting #4: cost 113 inf + 1450 134.994 * * [simplify]: Extracting #5: cost 151 inf + 5055 135.002 * * [simplify]: Extracting #6: cost 44 inf + 31222 135.020 * * [simplify]: Extracting #7: cost 1 inf + 48473 135.041 * * [simplify]: Extracting #8: cost 0 inf + 48938 135.055 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 135.055 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) 1)) 135.055 * * * * [progress]: [ 55 / 110 ] simplifiying candidate # 135.055 * * * * [progress]: [ 56 / 110 ] simplifiying candidate # 135.056 * [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))) 135.056 * * [simplify]: iters left: 6 (24 enodes) 135.063 * * [simplify]: iters left: 5 (97 enodes) 135.087 * * [simplify]: iters left: 4 (204 enodes) 135.144 * * [simplify]: Extracting #0: cost 1 inf + 0 135.144 * * [simplify]: Extracting #1: cost 32 inf + 0 135.144 * * [simplify]: Extracting #2: cost 69 inf + 0 135.145 * * [simplify]: Extracting #3: cost 73 inf + 72 135.145 * * [simplify]: Extracting #4: cost 77 inf + 144 135.145 * * [simplify]: Extracting #5: cost 123 inf + 611 135.146 * * [simplify]: Extracting #6: cost 169 inf + 3468 135.152 * * [simplify]: Extracting #7: cost 60 inf + 33563 135.167 * * [simplify]: Extracting #8: cost 5 inf + 58934 135.181 * * [simplify]: Extracting #9: cost 0 inf + 60755 135.195 * [simplify]: Simplified to (+ (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (log (cbrt J)) (+ (log (cbrt J)) (log (cbrt J))))) 135.195 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (log (cbrt J)) (+ (log (cbrt J)) (log (cbrt J))))))) 135.195 * * * * [progress]: [ 57 / 110 ] simplifiying candidate # 135.195 * [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))) 135.196 * * [simplify]: iters left: 6 (25 enodes) 135.205 * * [simplify]: iters left: 5 (99 enodes) 135.239 * * [simplify]: iters left: 4 (198 enodes) 135.334 * * [simplify]: Extracting #0: cost 1 inf + 0 135.334 * * [simplify]: Extracting #1: cost 31 inf + 0 135.335 * * [simplify]: Extracting #2: cost 69 inf + 0 135.335 * * [simplify]: Extracting #3: cost 74 inf + 143 135.336 * * [simplify]: Extracting #4: cost 79 inf + 144 135.336 * * [simplify]: Extracting #5: cost 122 inf + 964 135.338 * * [simplify]: Extracting #6: cost 167 inf + 3868 135.347 * * [simplify]: Extracting #7: cost 68 inf + 29279 135.369 * * [simplify]: Extracting #8: cost 4 inf + 58987 135.395 * * [simplify]: Extracting #9: cost 0 inf + 61178 135.409 * [simplify]: Simplified to (+ (+ (+ (log (cbrt J)) (log (cbrt J))) (log (cbrt J))) (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))) 135.409 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt J)) (log (cbrt J))) (log (cbrt J))) (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))))) 135.409 * * * * [progress]: [ 58 / 110 ] simplifiying candidate # 135.410 * [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))) 135.410 * * [simplify]: iters left: 6 (23 enodes) 135.416 * * [simplify]: iters left: 5 (95 enodes) 135.437 * * [simplify]: iters left: 4 (193 enodes) 135.490 * * [simplify]: Extracting #0: cost 1 inf + 0 135.490 * * [simplify]: Extracting #1: cost 23 inf + 0 135.490 * * [simplify]: Extracting #2: cost 62 inf + 0 135.491 * * [simplify]: Extracting #3: cost 68 inf + 72 135.491 * * [simplify]: Extracting #4: cost 71 inf + 144 135.492 * * [simplify]: Extracting #5: cost 70 inf + 308 135.493 * * [simplify]: Extracting #6: cost 108 inf + 2922 135.496 * * [simplify]: Extracting #7: cost 145 inf + 10160 135.508 * * [simplify]: Extracting #8: cost 46 inf + 36235 135.529 * * [simplify]: Extracting #9: cost 1 inf + 56638 135.542 * * [simplify]: Extracting #10: cost 0 inf + 57364 135.558 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (+ (+ (log (cbrt J)) (log (cbrt J))) (log (cos (/ K 2)))) (log (cbrt J)))) 135.558 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (+ (+ (log (cbrt J)) (log (cbrt J))) (log (cos (/ K 2)))) (log (cbrt J)))))) 135.559 * * * * [progress]: [ 59 / 110 ] simplifiying candidate # 135.559 * [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))) 135.559 * * [simplify]: iters left: 6 (24 enodes) 135.574 * * [simplify]: iters left: 5 (97 enodes) 135.598 * * [simplify]: iters left: 4 (189 enodes) 135.650 * * [simplify]: Extracting #0: cost 1 inf + 0 135.650 * * [simplify]: Extracting #1: cost 24 inf + 0 135.651 * * [simplify]: Extracting #2: cost 61 inf + 0 135.651 * * [simplify]: Extracting #3: cost 69 inf + 1 135.652 * * [simplify]: Extracting #4: cost 71 inf + 144 135.653 * * [simplify]: Extracting #5: cost 59 inf + 2662 135.654 * * [simplify]: Extracting #6: cost 104 inf + 4138 135.656 * * [simplify]: Extracting #7: cost 145 inf + 9854 135.663 * * [simplify]: Extracting #8: cost 49 inf + 36055 135.675 * * [simplify]: Extracting #9: cost 1 inf + 56404 135.691 * * [simplify]: Extracting #10: cost 0 inf + 56930 135.713 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cbrt J))) (log (cbrt J)))) (log (cos (/ K 2)))) 135.714 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cbrt J))) (log (cbrt J)))) (log (cos (/ K 2)))))) 135.714 * * * * [progress]: [ 60 / 110 ] simplifiying candidate # 135.714 * [simplify]: Simplifying (+ (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (+ (log (cbrt J)) (log (cbrt J)))) (log (cbrt J))) 135.715 * * [simplify]: iters left: 6 (22 enodes) 135.726 * * [simplify]: iters left: 5 (92 enodes) 135.765 * * [simplify]: iters left: 4 (185 enodes) 135.808 * * [simplify]: Extracting #0: cost 1 inf + 0 135.808 * * [simplify]: Extracting #1: cost 19 inf + 0 135.808 * * [simplify]: Extracting #2: cost 51 inf + 0 135.809 * * [simplify]: Extracting #3: cost 63 inf + 0 135.809 * * [simplify]: Extracting #4: cost 64 inf + 225 135.809 * * [simplify]: Extracting #5: cost 62 inf + 610 135.810 * * [simplify]: Extracting #6: cost 100 inf + 3457 135.811 * * [simplify]: Extracting #7: cost 135 inf + 9977 135.817 * * [simplify]: Extracting #8: cost 33 inf + 35751 135.828 * * [simplify]: Extracting #9: cost 2 inf + 50413 135.842 * * [simplify]: Extracting #10: cost 0 inf + 51825 135.858 * [simplify]: Simplified to (+ (log (cbrt J)) (+ (log (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2)) (+ (log (cbrt J)) (log (cbrt J))))) 135.858 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt J)) (+ (log (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2)) (+ (log (cbrt J)) (log (cbrt J))))))) 135.858 * * * * [progress]: [ 61 / 110 ] simplifiying candidate # 135.859 * [simplify]: Simplifying (+ (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log (* (cbrt J) (cbrt J)))) (log (cbrt J))) 135.859 * * [simplify]: iters left: 6 (23 enodes) 135.871 * * [simplify]: iters left: 5 (94 enodes) 135.903 * * [simplify]: iters left: 4 (182 enodes) 135.966 * * [simplify]: Extracting #0: cost 1 inf + 0 135.966 * * [simplify]: Extracting #1: cost 17 inf + 0 135.966 * * [simplify]: Extracting #2: cost 45 inf + 0 135.966 * * [simplify]: Extracting #3: cost 60 inf + 0 135.967 * * [simplify]: Extracting #4: cost 63 inf + 83 135.967 * * [simplify]: Extracting #5: cost 59 inf + 630 135.967 * * [simplify]: Extracting #6: cost 97 inf + 2631 135.970 * * [simplify]: Extracting #7: cost 132 inf + 9530 135.981 * * [simplify]: Extracting #8: cost 28 inf + 35156 136.001 * * [simplify]: Extracting #9: cost 1 inf + 48700 136.022 * * [simplify]: Extracting #10: cost 0 inf + 49085 136.043 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) -2))))) (log (cbrt J))) 136.043 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) -2))))) (log (cbrt J))))) 136.043 * * * * [progress]: [ 62 / 110 ] simplifiying candidate # 136.044 * [simplify]: Simplifying (+ (log (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J)))) (log (cbrt J))) 136.044 * * [simplify]: iters left: 6 (22 enodes) 136.056 * * [simplify]: iters left: 5 (92 enodes) 136.077 * * [simplify]: iters left: 4 (201 enodes) 136.145 * * [simplify]: Extracting #0: cost 1 inf + 0 136.145 * * [simplify]: Extracting #1: cost 11 inf + 0 136.145 * * [simplify]: Extracting #2: cost 40 inf + 0 136.146 * * [simplify]: Extracting #3: cost 72 inf + 0 136.146 * * [simplify]: Extracting #4: cost 84 inf + 154 136.146 * * [simplify]: Extracting #5: cost 81 inf + 1445 136.147 * * [simplify]: Extracting #6: cost 120 inf + 3058 136.149 * * [simplify]: Extracting #7: cost 149 inf + 10998 136.155 * * [simplify]: Extracting #8: cost 46 inf + 37486 136.175 * * [simplify]: Extracting #9: cost 4 inf + 55257 136.201 * * [simplify]: Extracting #10: cost 0 inf + 57822 136.232 * [simplify]: Simplified to (+ (log (cbrt J)) (log (* (cos (/ K 2)) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cbrt J) (cbrt J))))))) 136.232 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt J)) (log (* (cos (/ K 2)) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cbrt J) (cbrt J))))))))) 136.232 * * * * [progress]: [ 63 / 110 ] simplifiying candidate # 136.233 * * * * [progress]: [ 64 / 110 ] simplifiying candidate # 136.233 * * * * [progress]: [ 65 / 110 ] simplifiying candidate # 136.233 * [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) 136.233 * * [simplify]: iters left: 6 (25 enodes) 136.249 * * [simplify]: iters left: 5 (108 enodes) 136.274 * * [simplify]: iters left: 4 (308 enodes) 136.527 * * [simplify]: Extracting #0: cost 1 inf + 0 136.527 * * [simplify]: Extracting #1: cost 57 inf + 0 136.528 * * [simplify]: Extracting #2: cost 285 inf + 43 136.531 * * [simplify]: Extracting #3: cost 355 inf + 829 136.541 * * [simplify]: Extracting #4: cost 365 inf + 9603 136.556 * * [simplify]: Extracting #5: cost 297 inf + 37709 136.581 * * [simplify]: Extracting #6: cost 103 inf + 109437 136.642 * * [simplify]: Extracting #7: cost 3 inf + 157302 136.700 * * [simplify]: Extracting #8: cost 0 inf + 158661 136.756 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J)) 136.757 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J)))) 136.757 * * * * [progress]: [ 66 / 110 ] simplifiying candidate # 136.757 * [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) 136.757 * * [simplify]: iters left: 6 (28 enodes) 136.767 * * [simplify]: iters left: 5 (125 enodes) 136.801 * * [simplify]: iters left: 4 (370 enodes) 137.160 * * [simplify]: Extracting #0: cost 1 inf + 0 137.160 * * [simplify]: Extracting #1: cost 80 inf + 0 137.161 * * [simplify]: Extracting #2: cost 424 inf + 369 137.164 * * [simplify]: Extracting #3: cost 493 inf + 3984 137.168 * * [simplify]: Extracting #4: cost 485 inf + 19643 137.192 * * [simplify]: Extracting #5: cost 357 inf + 68177 137.233 * * [simplify]: Extracting #6: cost 143 inf + 157256 137.357 * * [simplify]: Extracting #7: cost 3 inf + 233541 137.444 * * [simplify]: Extracting #8: cost 0 inf + 235018 137.548 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* -8 (* (cos (/ K 2)) (cos (/ K 2)))))) (* (cos (/ K 2)) J)) (* J J)) 137.548 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* -8 (* (cos (/ K 2)) (cos (/ K 2)))))) (* (cos (/ K 2)) J)) (* J J)))) 137.548 * * * * [progress]: [ 67 / 110 ] simplifiying candidate # 137.549 * [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) 137.549 * * [simplify]: iters left: 6 (23 enodes) 137.563 * * [simplify]: iters left: 5 (108 enodes) 137.596 * * [simplify]: iters left: 4 (288 enodes) 137.732 * * [simplify]: Extracting #0: cost 1 inf + 0 137.732 * * [simplify]: Extracting #1: cost 56 inf + 0 137.733 * * [simplify]: Extracting #2: cost 245 inf + 2 137.734 * * [simplify]: Extracting #3: cost 269 inf + 383 137.735 * * [simplify]: Extracting #4: cost 296 inf + 3527 137.742 * * [simplify]: Extracting #5: cost 269 inf + 28927 137.767 * * [simplify]: Extracting #6: cost 75 inf + 102512 137.830 * * [simplify]: Extracting #7: cost 0 inf + 138745 137.879 * * [simplify]: Extracting #8: cost 0 inf + 138744 137.943 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) -8))) (* (cos (/ K 2)) J)) 137.943 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) -8))) (* (cos (/ K 2)) J)))) 137.943 * * * * [progress]: [ 68 / 110 ] simplifiying candidate # 137.943 * [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) 137.943 * * [simplify]: iters left: 6 (26 enodes) 137.952 * * [simplify]: iters left: 5 (125 enodes) 137.994 * * [simplify]: iters left: 4 (348 enodes) 138.170 * * [simplify]: Extracting #0: cost 1 inf + 0 138.170 * * [simplify]: Extracting #1: cost 55 inf + 0 138.171 * * [simplify]: Extracting #2: cost 322 inf + 42 138.173 * * [simplify]: Extracting #3: cost 391 inf + 776 138.176 * * [simplify]: Extracting #4: cost 375 inf + 13811 138.212 * * [simplify]: Extracting #5: cost 244 inf + 94043 138.287 * * [simplify]: Extracting #6: cost 9 inf + 196883 138.378 * * [simplify]: Extracting #7: cost 0 inf + 198676 138.473 * * [simplify]: Extracting #8: cost 0 inf + 198354 138.579 * [simplify]: Simplified to (* (* (* 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)))))) (* (cos (/ K 2)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 138.580 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* 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)))))) (* (cos (/ K 2)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 138.580 * * * * [progress]: [ 69 / 110 ] simplifiying candidate # 138.580 * [simplify]: Simplifying (* (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* J J)) J) 138.580 * * [simplify]: iters left: 6 (21 enodes) 138.587 * * [simplify]: iters left: 5 (98 enodes) 138.609 * * [simplify]: iters left: 4 (289 enodes) 138.760 * * [simplify]: Extracting #0: cost 1 inf + 0 138.760 * * [simplify]: Extracting #1: cost 48 inf + 0 138.762 * * [simplify]: Extracting #2: cost 249 inf + 1 138.764 * * [simplify]: Extracting #3: cost 276 inf + 765 138.767 * * [simplify]: Extracting #4: cost 299 inf + 4224 138.774 * * [simplify]: Extracting #5: cost 321 inf + 11175 138.788 * * [simplify]: Extracting #6: cost 219 inf + 38700 138.836 * * [simplify]: Extracting #7: cost 104 inf + 92676 138.917 * * [simplify]: Extracting #8: cost 1 inf + 146930 139.003 * * [simplify]: Extracting #9: cost 0 inf + 147477 139.087 * [simplify]: Simplified to (* J (* (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) -2) (* (* (* (cos (/ K 2)) -2) (* (cos (/ K 2)) -2)) (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* J J)))) 139.087 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* J (* (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) -2) (* (* (* (cos (/ K 2)) -2) (* (cos (/ K 2)) -2)) (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* J J)))))) 139.087 * * * * [progress]: [ 70 / 110 ] simplifiying candidate # 139.088 * [simplify]: Simplifying (* (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cbrt J))) (* (cbrt J) (cbrt J)))) J) 139.088 * * [simplify]: iters left: 6 (24 enodes) 139.102 * * [simplify]: iters left: 5 (115 enodes) 139.152 * * [simplify]: iters left: 4 (352 enodes) 139.388 * * [simplify]: Extracting #0: cost 1 inf + 0 139.388 * * [simplify]: Extracting #1: cost 52 inf + 0 139.389 * * [simplify]: Extracting #2: cost 328 inf + 123 139.391 * * [simplify]: Extracting #3: cost 398 inf + 897 139.394 * * [simplify]: Extracting #4: cost 401 inf + 8785 139.398 * * [simplify]: Extracting #5: cost 414 inf + 18298 139.425 * * [simplify]: Extracting #6: cost 205 inf + 102929 139.521 * * [simplify]: Extracting #7: cost 4 inf + 208589 139.621 * * [simplify]: Extracting #8: cost 0 inf + 209988 139.730 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 4))) (* (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) J)) 139.730 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 4))) (* (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) J)))) 139.730 * * * * [progress]: [ 71 / 110 ] simplifiying candidate # 139.730 * [simplify]: Simplifying (* (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J)))) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J)))) J) 139.731 * * [simplify]: iters left: 6 (22 enodes) 139.744 * * [simplify]: iters left: 5 (101 enodes) 139.781 * * [simplify]: iters left: 4 (326 enodes) 140.040 * * [simplify]: Extracting #0: cost 1 inf + 0 140.040 * * [simplify]: Extracting #1: cost 52 inf + 0 140.041 * * [simplify]: Extracting #2: cost 345 inf + 82 140.043 * * [simplify]: Extracting #3: cost 437 inf + 894 140.049 * * [simplify]: Extracting #4: cost 436 inf + 11747 140.075 * * [simplify]: Extracting #5: cost 301 inf + 104106 140.179 * * [simplify]: Extracting #6: cost 25 inf + 243438 140.276 * * [simplify]: Extracting #7: cost 0 inf + 258318 140.387 * * [simplify]: Extracting #8: cost 0 inf + 258278 140.507 * [simplify]: Simplified to (* J (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (cos (/ K 2)) (* -2 (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* -2 (* (cbrt J) (cbrt J))))))) (* (cos (/ K 2)) (* -2 (* (cbrt J) (cbrt J)))))) 140.507 * [simplify]: Simplified (2 1) to (λ (J K U) (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)))) (* (* (cos (/ K 2)) (* -2 (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* -2 (* (cbrt J) (cbrt J))))))) (* (cos (/ K 2)) (* -2 (* (cbrt J) (cbrt J)))))))) 140.507 * * * * [progress]: [ 72 / 110 ] simplifiying candidate # 140.507 * * * * [progress]: [ 73 / 110 ] simplifiying candidate # 140.507 * * * * [progress]: [ 74 / 110 ] simplifiying candidate # 140.507 * * * * [progress]: [ 75 / 110 ] simplifiying candidate # 140.507 * * * * [progress]: [ 76 / 110 ] simplifiying candidate # 140.507 * [simplify]: Simplifying (cbrt (cbrt J)) 140.508 * * [simplify]: iters left: 2 (3 enodes) 140.508 * * [simplify]: iters left: 1 (9 enodes) 140.509 * * [simplify]: Extracting #0: cost 1 inf + 0 140.509 * * [simplify]: Extracting #1: cost 3 inf + 0 140.509 * * [simplify]: Extracting #2: cost 5 inf + 0 140.510 * * [simplify]: Extracting #3: cost 4 inf + 1 140.510 * * [simplify]: Extracting #4: cost 0 inf + 485 140.510 * [simplify]: Simplified to (cbrt (cbrt J)) 140.510 * [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 (* (cbrt J) (cbrt J)))) (cbrt (cbrt J)))) 140.510 * * * * [progress]: [ 77 / 110 ] simplifiying candidate # 140.510 * [simplify]: Simplifying (cbrt (sqrt J)) 140.510 * * [simplify]: iters left: 2 (3 enodes) 140.511 * * [simplify]: iters left: 1 (9 enodes) 140.512 * * [simplify]: Extracting #0: cost 1 inf + 0 140.512 * * [simplify]: Extracting #1: cost 3 inf + 0 140.512 * * [simplify]: Extracting #2: cost 5 inf + 0 140.512 * * [simplify]: Extracting #3: cost 4 inf + 1 140.512 * * [simplify]: Extracting #4: cost 0 inf + 325 140.512 * [simplify]: Simplified to (cbrt (sqrt J)) 140.512 * [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 (sqrt J))) (cbrt (sqrt J)))) 140.512 * * * * [progress]: [ 78 / 110 ] simplifiying candidate # 140.512 * [simplify]: Simplifying (cbrt J) 140.512 * * [simplify]: iters left: 1 (2 enodes) 140.513 * * [simplify]: Extracting #0: cost 1 inf + 0 140.513 * * [simplify]: Extracting #1: cost 3 inf + 0 140.513 * * [simplify]: Extracting #2: cost 2 inf + 1 140.513 * * [simplify]: Extracting #3: cost 0 inf + 163 140.513 * [simplify]: Simplified to (cbrt J) 140.513 * [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 1)) (cbrt J))) 140.513 * * * * [progress]: [ 79 / 110 ] simplifiying candidate # 140.513 * [simplify]: Simplifying (cbrt (cbrt J)) 140.513 * * [simplify]: iters left: 2 (3 enodes) 140.514 * * [simplify]: iters left: 1 (9 enodes) 140.515 * * [simplify]: Extracting #0: cost 1 inf + 0 140.516 * * [simplify]: Extracting #1: cost 3 inf + 0 140.516 * * [simplify]: Extracting #2: cost 5 inf + 0 140.516 * * [simplify]: Extracting #3: cost 4 inf + 1 140.516 * * [simplify]: Extracting #4: cost 0 inf + 485 140.516 * [simplify]: Simplified to (cbrt (cbrt J)) 140.516 * [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 (cbrt J)) (cbrt (cbrt J)))) (cbrt (cbrt J)))) 140.516 * * * * [progress]: [ 80 / 110 ] simplifiying candidate # 140.516 * [simplify]: Simplifying (sqrt (cbrt J)) 140.516 * * [simplify]: iters left: 2 (3 enodes) 140.517 * * [simplify]: iters left: 1 (9 enodes) 140.518 * * [simplify]: Extracting #0: cost 1 inf + 0 140.518 * * [simplify]: Extracting #1: cost 3 inf + 0 140.518 * * [simplify]: Extracting #2: cost 5 inf + 0 140.518 * * [simplify]: Extracting #3: cost 4 inf + 1 140.518 * * [simplify]: Extracting #4: cost 0 inf + 405 140.518 * [simplify]: Simplified to (sqrt (cbrt J)) 140.518 * [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))) (sqrt (cbrt J))) (sqrt (cbrt J)))) 140.518 * * * * [progress]: [ 81 / 110 ] simplifiying candidate # 140.518 * [simplify]: Simplifying (cbrt J) 140.518 * * [simplify]: iters left: 1 (2 enodes) 140.519 * * [simplify]: Extracting #0: cost 1 inf + 0 140.519 * * [simplify]: Extracting #1: cost 3 inf + 0 140.519 * * [simplify]: Extracting #2: cost 2 inf + 1 140.519 * * [simplify]: Extracting #3: cost 0 inf + 163 140.519 * [simplify]: Simplified to (cbrt J) 140.519 * [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))) 1) (cbrt J))) 140.519 * * * * [progress]: [ 82 / 110 ] simplifiying candidate # 140.519 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) 140.519 * * [simplify]: iters left: 6 (16 enodes) 140.524 * * [simplify]: iters left: 5 (65 enodes) 140.544 * * [simplify]: iters left: 4 (126 enodes) 140.605 * * [simplify]: iters left: 3 (384 enodes) 140.918 * * [simplify]: Extracting #0: cost 1 inf + 0 140.918 * * [simplify]: Extracting #1: cost 8 inf + 0 140.918 * * [simplify]: Extracting #2: cost 14 inf + 1 140.918 * * [simplify]: Extracting #3: cost 20 inf + 1 140.919 * * [simplify]: Extracting #4: cost 127 inf + 88 140.922 * * [simplify]: Extracting #5: cost 226 inf + 4202 140.933 * * [simplify]: Extracting #6: cost 76 inf + 33414 140.948 * * [simplify]: Extracting #7: cost 0 inf + 50094 140.964 * * [simplify]: Extracting #8: cost 0 inf + 50089 140.996 * [simplify]: Simplified to (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) 140.996 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (cbrt J) (cbrt J)) (cbrt J)))) 140.996 * * * * [progress]: [ 83 / 110 ] simplifiying candidate # 140.997 * [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)) 140.997 * * [simplify]: iters left: 6 (23 enodes) 141.011 * * [simplify]: iters left: 5 (103 enodes) 141.052 * * [simplify]: iters left: 4 (265 enodes) 141.239 * * [simplify]: Extracting #0: cost 1 inf + 0 141.240 * * [simplify]: Extracting #1: cost 32 inf + 0 141.240 * * [simplify]: Extracting #2: cost 67 inf + 1 141.240 * * [simplify]: Extracting #3: cost 71 inf + 3 141.241 * * [simplify]: Extracting #4: cost 157 inf + 856 141.242 * * [simplify]: Extracting #5: cost 360 inf + 3089 141.250 * * [simplify]: Extracting #6: cost 268 inf + 46634 141.277 * * [simplify]: Extracting #7: cost 11 inf + 138166 141.323 * * [simplify]: Extracting #8: cost 0 inf + 139240 141.371 * * [simplify]: Extracting #9: cost 0 inf + 138875 141.439 * [simplify]: Simplified to (* (* (cbrt J) (* (cbrt J) (cbrt J))) (* (* -2 (cos (/ K 2))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 141.439 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (cbrt J) (* (cbrt J) (cbrt J))) (* (* -2 (cos (/ K 2))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 141.440 * * * * [progress]: [ 84 / 110 ] simplifiying candidate # 141.440 * [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)) 141.441 * * [simplify]: iters left: 6 (22 enodes) 141.454 * * [simplify]: iters left: 5 (95 enodes) 141.490 * * [simplify]: iters left: 4 (237 enodes) 141.618 * * [simplify]: Extracting #0: cost 1 inf + 0 141.618 * * [simplify]: Extracting #1: cost 32 inf + 0 141.619 * * [simplify]: Extracting #2: cost 67 inf + 1 141.619 * * [simplify]: Extracting #3: cost 74 inf + 3 141.620 * * [simplify]: Extracting #4: cost 157 inf + 705 141.623 * * [simplify]: Extracting #5: cost 322 inf + 5273 141.643 * * [simplify]: Extracting #6: cost 149 inf + 56480 141.687 * * [simplify]: Extracting #7: cost 17 inf + 102253 141.742 * * [simplify]: Extracting #8: cost 0 inf + 109435 141.769 * [simplify]: Simplified to (* (* (* (cbrt J) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) -2)) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) 141.769 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* (cbrt J) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) -2)) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 141.769 * * * * [progress]: [ 85 / 110 ] 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)))))> 141.769 * * * * [progress]: [ 86 / 110 ] simplifiying candidate # 141.769 * * * * [progress]: [ 87 / 110 ] simplifiying candidate # 141.770 * * * * [progress]: [ 88 / 110 ] simplifiying candidate # 141.770 * * * * [progress]: [ 89 / 110 ] simplifiying candidate # 141.770 * * * * [progress]: [ 90 / 110 ] simplifiying candidate # 141.770 * * * * [progress]: [ 91 / 110 ] simplifiying candidate # 141.770 * [simplify]: Simplifying (cbrt (* (cbrt J) (cbrt J))) 141.770 * * [simplify]: iters left: 4 (4 enodes) 141.771 * * [simplify]: iters left: 3 (12 enodes) 141.772 * * [simplify]: Extracting #0: cost 1 inf + 0 141.773 * * [simplify]: Extracting #1: cost 3 inf + 0 141.773 * * [simplify]: Extracting #2: cost 5 inf + 0 141.773 * * [simplify]: Extracting #3: cost 7 inf + 0 141.773 * * [simplify]: Extracting #4: cost 6 inf + 1 141.773 * * [simplify]: Extracting #5: cost 0 inf + 807 141.773 * [simplify]: Simplified to (cbrt (* (cbrt J) (cbrt J))) 141.773 * [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) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (* (cbrt (* (cbrt J) (cbrt J))) (cbrt (cbrt J))))) 141.773 * * * * [progress]: [ 92 / 110 ] simplifiying candidate # 141.773 * [simplify]: Simplifying (cbrt (sqrt J)) 141.773 * * [simplify]: iters left: 2 (3 enodes) 141.774 * * [simplify]: iters left: 1 (9 enodes) 141.775 * * [simplify]: Extracting #0: cost 1 inf + 0 141.775 * * [simplify]: Extracting #1: cost 3 inf + 0 141.775 * * [simplify]: Extracting #2: cost 5 inf + 0 141.775 * * [simplify]: Extracting #3: cost 4 inf + 1 141.775 * * [simplify]: Extracting #4: cost 0 inf + 325 141.775 * [simplify]: Simplified to (cbrt (sqrt J)) 141.775 * [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) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (* (cbrt (sqrt J)) (cbrt (sqrt J))))) 141.775 * * * * [progress]: [ 93 / 110 ] simplifiying candidate # 141.775 * [simplify]: Simplifying (cbrt 1) 141.776 * * [simplify]: iters left: 1 (2 enodes) 141.778 * * [simplify]: Extracting #0: cost 1 inf + 0 141.778 * * [simplify]: Extracting #1: cost 0 inf + 1 141.778 * [simplify]: Simplified to 1 141.778 * [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) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (* 1 (cbrt J)))) 141.778 * * * * [progress]: [ 94 / 110 ] simplifiying candidate # 141.778 * * * * [progress]: [ 95 / 110 ] simplifiying candidate # 141.778 * * * * [progress]: [ 96 / 110 ] simplifiying candidate # 141.778 * * * * [progress]: [ 97 / 110 ] simplifiying candidate # 141.778 * * * * [progress]: [ 98 / 110 ] simplifiying candidate #real (real->posit16 (cbrt J)))))> 141.778 * * * * [progress]: [ 99 / 110 ] simplifiying candidate # 141.778 * [simplify]: Simplifying 1 141.778 * * [simplify]: iters left: 0 (1 enodes) 141.779 * * [simplify]: Extracting #0: cost 1 inf + 0 141.779 * * [simplify]: Extracting #1: cost 0 inf + 1 141.779 * [simplify]: Simplified to 1 141.779 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* 1 -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 141.779 * * * * [progress]: [ 100 / 110 ] simplifiying candidate # 141.779 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 141.779 * * [simplify]: iters left: 6 (9 enodes) 141.782 * * [simplify]: iters left: 5 (34 enodes) 141.787 * * [simplify]: iters left: 4 (56 enodes) 141.796 * * [simplify]: iters left: 3 (90 enodes) 141.810 * * [simplify]: iters left: 2 (114 enodes) 141.842 * * [simplify]: iters left: 1 (131 enodes) 141.878 * * [simplify]: Extracting #0: cost 1 inf + 0 141.878 * * [simplify]: Extracting #1: cost 22 inf + 0 141.879 * * [simplify]: Extracting #2: cost 37 inf + 3 141.879 * * [simplify]: Extracting #3: cost 31 inf + 380 141.880 * * [simplify]: Extracting #4: cost 17 inf + 1834 141.882 * * [simplify]: Extracting #5: cost 3 inf + 4117 141.884 * * [simplify]: Extracting #6: cost 0 inf + 4586 141.886 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 141.886 * [simplify]: Simplified (2 1 1 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))) 141.886 * * * * [progress]: [ 101 / 110 ] simplifiying candidate # 141.887 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 141.887 * * [simplify]: iters left: 6 (9 enodes) 141.892 * * [simplify]: iters left: 5 (34 enodes) 141.902 * * [simplify]: iters left: 4 (56 enodes) 141.920 * * [simplify]: iters left: 3 (90 enodes) 141.944 * * [simplify]: iters left: 2 (114 enodes) 141.962 * * [simplify]: iters left: 1 (131 enodes) 141.992 * * [simplify]: Extracting #0: cost 1 inf + 0 141.992 * * [simplify]: Extracting #1: cost 22 inf + 0 141.993 * * [simplify]: Extracting #2: cost 37 inf + 3 141.993 * * [simplify]: Extracting #3: cost 31 inf + 380 141.994 * * [simplify]: Extracting #4: cost 17 inf + 1834 141.996 * * [simplify]: Extracting #5: cost 3 inf + 4117 141.998 * * [simplify]: Extracting #6: cost 0 inf + 4586 142.000 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 142.000 * [simplify]: Simplified (2 1 1 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))) 142.000 * * * * [progress]: [ 102 / 110 ] simplifiying candidate # 142.001 * [simplify]: Simplifying (- (* 1/4 (* (pow K 2) (pow (pow J 2) 1/3))) (+ (* 1/4 (* (pow (/ 1 (pow J 4)) 1/3) (pow U 2))) (* 2 (pow (pow J 2) 1/3)))) 142.001 * * [simplify]: iters left: 6 (22 enodes) 142.015 * * [simplify]: iters left: 5 (103 enodes) 142.043 * * [simplify]: iters left: 4 (195 enodes) 142.115 * * [simplify]: iters left: 3 (475 enodes) 142.335 * * [simplify]: Extracting #0: cost 1 inf + 0 142.335 * * [simplify]: Extracting #1: cost 15 inf + 0 142.336 * * [simplify]: Extracting #2: cost 152 inf + 0 142.338 * * [simplify]: Extracting #3: cost 294 inf + 458 142.341 * * [simplify]: Extracting #4: cost 286 inf + 1202 142.347 * * [simplify]: Extracting #5: cost 235 inf + 15758 142.370 * * [simplify]: Extracting #6: cost 65 inf + 88007 142.394 * * [simplify]: Extracting #7: cost 1 inf + 120874 142.416 * * [simplify]: Extracting #8: cost 0 inf + 121078 142.434 * [simplify]: Simplified to (- (* (+ (* (* K K) 1/4) -2) (cbrt (* J J))) (* (cbrt (/ 1 (* (* J J) (* J J)))) (* 1/4 (* U U)))) 142.434 * [simplify]: Simplified (2 1) to (λ (J K U) (* (- (* (+ (* (* K K) 1/4) -2) (cbrt (* J J))) (* (cbrt (/ 1 (* (* J J) (* J J)))) (* 1/4 (* U U)))) (cbrt J))) 142.434 * * * * [progress]: [ 103 / 110 ] simplifiying candidate # 142.435 * [simplify]: Simplifying (- (+ (* 2 (* (/ (pow (cos (* 1/2 K)) 2) U) (pow (pow J 5) 1/3))) (* (pow (/ 1 J) 1/3) U))) 142.435 * * [simplify]: iters left: 6 (21 enodes) 142.442 * * [simplify]: iters left: 5 (93 enodes) 142.468 * * [simplify]: iters left: 4 (196 enodes) 142.543 * * [simplify]: Extracting #0: cost 1 inf + 0 142.543 * * [simplify]: Extracting #1: cost 6 inf + 0 142.543 * * [simplify]: Extracting #2: cost 44 inf + 0 142.543 * * [simplify]: Extracting #3: cost 100 inf + 44 142.544 * * [simplify]: Extracting #4: cost 131 inf + 130 142.544 * * [simplify]: Extracting #5: cost 141 inf + 134 142.545 * * [simplify]: Extracting #6: cost 107 inf + 9407 142.549 * * [simplify]: Extracting #7: cost 23 inf + 43411 142.556 * * [simplify]: Extracting #8: cost 1 inf + 54276 142.562 * * [simplify]: Extracting #9: cost 0 inf + 55033 142.572 * [simplify]: Simplified to (- (* (* -2 (/ (* (cos (* K 1/2)) (cos (* K 1/2))) U)) (cbrt (pow J 5))) (* U (cbrt (/ 1 J)))) 142.572 * [simplify]: Simplified (2 1) to (λ (J K U) (* (- (* (* -2 (/ (* (cos (* K 1/2)) (cos (* K 1/2))) U)) (cbrt (pow J 5))) (* U (cbrt (/ 1 J)))) (cbrt J))) 142.573 * * * * [progress]: [ 104 / 110 ] simplifiying candidate # 142.573 * [simplify]: Simplifying (+ (* 2 (* (/ (* (pow (cos (* 1/2 K)) 2) (pow (cbrt -1) 2)) U) (pow (* (pow J 5) -1) 1/3))) (* (pow (/ -1 J) 1/3) (* (pow (cbrt -1) 2) U))) 142.573 * * [simplify]: iters left: 6 (25 enodes) 142.589 * * [simplify]: iters left: 5 (111 enodes) 142.634 * * [simplify]: iters left: 4 (248 enodes) 142.706 * * [simplify]: Extracting #0: cost 1 inf + 0 142.706 * * [simplify]: Extracting #1: cost 4 inf + 0 142.706 * * [simplify]: Extracting #2: cost 57 inf + 0 142.706 * * [simplify]: Extracting #3: cost 175 inf + 44 142.707 * * [simplify]: Extracting #4: cost 199 inf + 49 142.708 * * [simplify]: Extracting #5: cost 202 inf + 1934 142.711 * * [simplify]: Extracting #6: cost 128 inf + 23531 142.718 * * [simplify]: Extracting #7: cost 27 inf + 69306 142.738 * * [simplify]: Extracting #8: cost 0 inf + 87013 142.758 * * [simplify]: Extracting #9: cost 0 inf + 86973 142.779 * [simplify]: Simplified to (+ (* (cbrt (/ -1 J)) (* (* (cbrt -1) (cbrt -1)) U)) (* (/ 2 (/ (/ U (* (cbrt -1) (cbrt -1))) (* (cos (* K 1/2)) (cos (* K 1/2))))) (cbrt (- (pow J 5))))) 142.779 * [simplify]: Simplified (2 1) to (λ (J K U) (* (+ (* (cbrt (/ -1 J)) (* (* (cbrt -1) (cbrt -1)) U)) (* (/ 2 (/ (/ U (* (cbrt -1) (cbrt -1))) (* (cos (* K 1/2)) (cos (* K 1/2))))) (cbrt (- (pow J 5))))) (cbrt J))) 142.779 * * * * [progress]: [ 105 / 110 ] simplifiying candidate # 142.779 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 142.780 * * [simplify]: iters left: 6 (10 enodes) 142.786 * * [simplify]: iters left: 5 (43 enodes) 142.802 * * [simplify]: iters left: 4 (79 enodes) 142.826 * * [simplify]: iters left: 3 (118 enodes) 142.865 * * [simplify]: iters left: 2 (171 enodes) 142.922 * * [simplify]: iters left: 1 (242 enodes) 142.995 * * [simplify]: Extracting #0: cost 1 inf + 0 142.995 * * [simplify]: Extracting #1: cost 6 inf + 0 142.995 * * [simplify]: Extracting #2: cost 41 inf + 0 142.996 * * [simplify]: Extracting #3: cost 56 inf + 213 142.997 * * [simplify]: Extracting #4: cost 20 inf + 2732 142.998 * * [simplify]: Extracting #5: cost 1 inf + 4576 142.999 * * [simplify]: Extracting #6: cost 0 inf + 4698 143.001 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 143.001 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 143.001 * * * * [progress]: [ 106 / 110 ] simplifiying candidate # 143.001 * [simplify]: Simplifying (* -1 U) 143.001 * * [simplify]: iters left: 2 (3 enodes) 143.002 * * [simplify]: iters left: 1 (11 enodes) 143.004 * * [simplify]: Extracting #0: cost 1 inf + 0 143.004 * * [simplify]: Extracting #1: cost 4 inf + 0 143.004 * * [simplify]: Extracting #2: cost 0 inf + 84 143.004 * [simplify]: Simplified to (- U) 143.004 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 143.004 * * * * [progress]: [ 107 / 110 ] simplifiying candidate # 143.004 * [simplify]: Simplifying (* -1 U) 143.004 * * [simplify]: iters left: 2 (3 enodes) 143.005 * * [simplify]: iters left: 1 (11 enodes) 143.007 * * [simplify]: Extracting #0: cost 1 inf + 0 143.007 * * [simplify]: Extracting #1: cost 4 inf + 0 143.007 * * [simplify]: Extracting #2: cost 0 inf + 84 143.007 * [simplify]: Simplified to (- U) 143.007 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 143.007 * * * * [progress]: [ 108 / 110 ] simplifiying candidate # 143.007 * [simplify]: Simplifying (pow J 1/3) 143.008 * * [simplify]: iters left: 1 (3 enodes) 143.010 * * [simplify]: Extracting #0: cost 1 inf + 0 143.010 * * [simplify]: Extracting #1: cost 5 inf + 0 143.010 * * [simplify]: Extracting #2: cost 4 inf + 2 143.010 * * [simplify]: Extracting #3: cost 0 inf + 377 143.010 * [simplify]: Simplified to (cbrt J) 143.010 * [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))) 143.010 * * * * [progress]: [ 109 / 110 ] simplifiying candidate # 143.011 * [simplify]: Simplifying (pow (/ 1 J) -1/3) 143.011 * * [simplify]: iters left: 3 (5 enodes) 143.014 * * [simplify]: iters left: 2 (22 enodes) 143.023 * * [simplify]: iters left: 1 (38 enodes) 143.032 * * [simplify]: Extracting #0: cost 1 inf + 0 143.032 * * [simplify]: Extracting #1: cost 9 inf + 0 143.032 * * [simplify]: Extracting #2: cost 16 inf + 1 143.032 * * [simplify]: Extracting #3: cost 13 inf + 5 143.032 * * [simplify]: Extracting #4: cost 6 inf + 1102 143.032 * * [simplify]: Extracting #5: cost 0 inf + 3162 143.032 * [simplify]: Simplified to (pow (/ 1 J) -1/3) 143.032 * [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))) (pow (/ 1 J) -1/3))) 143.033 * * * * [progress]: [ 110 / 110 ] simplifiying candidate # 143.033 * [simplify]: Simplifying (* (pow (* J -1) 1/3) (cbrt -1)) 143.033 * * [simplify]: iters left: 5 (7 enodes) 143.036 * * [simplify]: iters left: 4 (29 enodes) 143.042 * * [simplify]: iters left: 3 (48 enodes) 143.054 * * [simplify]: iters left: 2 (90 enodes) 143.094 * * [simplify]: iters left: 1 (181 enodes) 143.169 * * [simplify]: Extracting #0: cost 1 inf + 0 143.169 * * [simplify]: Extracting #1: cost 23 inf + 0 143.170 * * [simplify]: Extracting #2: cost 77 inf + 0 143.171 * * [simplify]: Extracting #3: cost 73 inf + 8 143.171 * * [simplify]: Extracting #4: cost 69 inf + 92 143.174 * * [simplify]: Extracting #5: cost 18 inf + 24534 143.180 * * [simplify]: Extracting #6: cost 0 inf + 34495 143.187 * * [simplify]: Extracting #7: cost 0 inf + 34324 143.193 * [simplify]: Simplified to (* (cbrt (- J)) (cbrt -1)) 143.193 * [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)) (cbrt -1)))) 143.193 * * * [progress]: adding candidates to table 144.883 * [progress]: [Phase 3 of 3] Extracting. 144.883 * * [regime]: Finding splitpoints for: (# # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> #) 144.891 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 144.891 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> #) 144.985 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> #) 145.087 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> #) 145.197 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> #) 145.306 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> #) 145.440 * * * [regime]: Found split indices: #