0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.153 * [progress]: [Phase 2 of 3] Improving. 0.153 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.153 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.154 * * [simplify]: iters left: 6 (17 enodes) 0.188 * * [simplify]: iters left: 5 (70 enodes) 0.202 * * [simplify]: iters left: 4 (126 enodes) 0.233 * * [simplify]: iters left: 3 (281 enodes) 0.348 * * [simplify]: Extracting #0: cost 1 inf + 0 0.348 * * [simplify]: Extracting #1: cost 16 inf + 0 0.349 * * [simplify]: Extracting #2: cost 28 inf + 2 0.349 * * [simplify]: Extracting #3: cost 32 inf + 86 0.350 * * [simplify]: Extracting #4: cost 96 inf + 131 0.352 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.361 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.380 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.403 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.414 * * [simplify]: Extracting #9: cost 0 inf + 50662 0.425 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 0.425 * [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))) 0.438 * * [progress]: iteration 1 / 4 0.439 * * * [progress]: picking best candidate 0.445 * * * * [pick]: Picked # 0.445 * * * [progress]: localizing error 0.510 * * * [progress]: generating rewritten candidates 0.510 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.661 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.017 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.149 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.168 * * * [progress]: generating series expansions 1.168 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.168 * [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)) 1.168 * [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 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.169 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.169 * [taylor]: Taking taylor expansion of 1/4 in J 1.169 * [backup-simplify]: Simplify 1/4 into 1/4 1.169 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.169 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.169 * [taylor]: Taking taylor expansion of U in J 1.169 * [backup-simplify]: Simplify U into U 1.169 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.169 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.169 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.169 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.169 * [taylor]: Taking taylor expansion of 1/2 in J 1.169 * [backup-simplify]: Simplify 1/2 into 1/2 1.169 * [taylor]: Taking taylor expansion of K in J 1.169 * [backup-simplify]: Simplify K into K 1.169 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.169 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.169 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.169 * [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 1.170 * [backup-simplify]: Simplify (- 0) into 0 1.170 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.170 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.171 * [taylor]: Taking taylor expansion of J in J 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.171 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.171 * [backup-simplify]: Simplify (* 1 1) into 1 1.171 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.171 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.171 * [taylor]: Taking taylor expansion of 1 in J 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [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))) 1.172 * [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))) 1.172 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.172 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.173 * [backup-simplify]: Simplify (+ 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.176 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.176 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.177 * [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 1.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.177 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.178 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.178 * [taylor]: Taking taylor expansion of 1/4 in K 1.178 * [backup-simplify]: Simplify 1/4 into 1/4 1.178 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.178 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.178 * [taylor]: Taking taylor expansion of U in K 1.178 * [backup-simplify]: Simplify U into U 1.178 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.178 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.178 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.178 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.178 * [taylor]: Taking taylor expansion of 1/2 in K 1.178 * [backup-simplify]: Simplify 1/2 into 1/2 1.178 * [taylor]: Taking taylor expansion of K in K 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.179 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.179 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.179 * [taylor]: Taking taylor expansion of J in K 1.179 * [backup-simplify]: Simplify J into J 1.179 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.179 * [backup-simplify]: Simplify (* 1 1) into 1 1.179 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.179 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.179 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.179 * [taylor]: Taking taylor expansion of 1 in K 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.179 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.180 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.180 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.180 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.180 * [backup-simplify]: Simplify (+ 0) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.181 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.182 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.182 * [taylor]: Taking taylor expansion of 1/4 in U 1.182 * [backup-simplify]: Simplify 1/4 into 1/4 1.182 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.182 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.182 * [taylor]: Taking taylor expansion of U in U 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.182 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.182 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.182 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.182 * [taylor]: Taking taylor expansion of 1/2 in U 1.182 * [backup-simplify]: Simplify 1/2 into 1/2 1.182 * [taylor]: Taking taylor expansion of K in U 1.182 * [backup-simplify]: Simplify K into K 1.182 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.182 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.182 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.182 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.182 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.182 * [backup-simplify]: Simplify (- 0) into 0 1.182 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.182 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.182 * [taylor]: Taking taylor expansion of J in U 1.183 * [backup-simplify]: Simplify J into J 1.183 * [backup-simplify]: Simplify (* 1 1) into 1 1.183 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.183 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.183 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.183 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.183 * [taylor]: Taking taylor expansion of 1 in U 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (+ 0 1) into 1 1.184 * [backup-simplify]: Simplify (sqrt 1) into 1 1.184 * [backup-simplify]: Simplify (+ 0 0) into 0 1.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.184 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.184 * [taylor]: Taking taylor expansion of 1/4 in U 1.184 * [backup-simplify]: Simplify 1/4 into 1/4 1.184 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.184 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.184 * [taylor]: Taking taylor expansion of U in U 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.184 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.185 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.185 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.185 * [taylor]: Taking taylor expansion of 1/2 in U 1.185 * [backup-simplify]: Simplify 1/2 into 1/2 1.185 * [taylor]: Taking taylor expansion of K in U 1.185 * [backup-simplify]: Simplify K into K 1.185 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.185 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.185 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.185 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.185 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.185 * [taylor]: Taking taylor expansion of J in U 1.185 * [backup-simplify]: Simplify J into J 1.185 * [backup-simplify]: Simplify (* 1 1) into 1 1.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.186 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.186 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.186 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.186 * [taylor]: Taking taylor expansion of 1 in U 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [backup-simplify]: Simplify (+ 0 1) into 1 1.186 * [backup-simplify]: Simplify (sqrt 1) into 1 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.187 * [taylor]: Taking taylor expansion of 1 in K 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of 1 in J 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of 0 in K 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [taylor]: Taking taylor expansion of 0 in J 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [taylor]: Taking taylor expansion of 0 in J 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [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))) 1.188 * [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)))) 1.188 * [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))) 1.188 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.188 * [taylor]: Taking taylor expansion of 1/8 in K 1.188 * [backup-simplify]: Simplify 1/8 into 1/8 1.188 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.189 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.189 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.189 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.189 * [taylor]: Taking taylor expansion of 1/2 in K 1.189 * [backup-simplify]: Simplify 1/2 into 1/2 1.189 * [taylor]: Taking taylor expansion of K in K 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.189 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.189 * [taylor]: Taking taylor expansion of J in K 1.189 * [backup-simplify]: Simplify J into J 1.190 * [backup-simplify]: Simplify (* 1 1) into 1 1.190 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.190 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.190 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.190 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.190 * [taylor]: Taking taylor expansion of 1/8 in J 1.190 * [backup-simplify]: Simplify 1/8 into 1/8 1.190 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.190 * [taylor]: Taking taylor expansion of J in J 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (* 1 1) into 1 1.190 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in J 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in J 1.191 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.192 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.192 * [backup-simplify]: Simplify (+ 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.194 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.197 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.197 * [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 1.198 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.198 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.199 * [taylor]: Taking taylor expansion of 0 in K 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [taylor]: Taking taylor expansion of 0 in J 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.199 * [backup-simplify]: Simplify (+ 0) into 0 1.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.200 * [taylor]: Taking taylor expansion of 0 in J 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [taylor]: Taking taylor expansion of 0 in J 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [taylor]: Taking taylor expansion of 0 in J 1.200 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.202 * [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)) 1.202 * [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 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.202 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.202 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.202 * [taylor]: Taking taylor expansion of 1/4 in J 1.202 * [backup-simplify]: Simplify 1/4 into 1/4 1.202 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.202 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.202 * [taylor]: Taking taylor expansion of J in J 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.202 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.202 * [taylor]: Taking taylor expansion of U in J 1.202 * [backup-simplify]: Simplify U into U 1.202 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.202 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.202 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.202 * [taylor]: Taking taylor expansion of 1/2 in J 1.202 * [backup-simplify]: Simplify 1/2 into 1/2 1.202 * [taylor]: Taking taylor expansion of K in J 1.202 * [backup-simplify]: Simplify K into K 1.202 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.202 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.202 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.202 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.202 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.203 * [backup-simplify]: Simplify (- 0) into 0 1.203 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.203 * [backup-simplify]: Simplify (* 1 1) into 1 1.203 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.203 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.203 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.203 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.203 * [taylor]: Taking taylor expansion of 1 in J 1.203 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (+ 0 1) into 1 1.204 * [backup-simplify]: Simplify (sqrt 1) into 1 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.204 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.205 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.205 * [taylor]: Taking taylor expansion of 1/4 in K 1.205 * [backup-simplify]: Simplify 1/4 into 1/4 1.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.205 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.205 * [taylor]: Taking taylor expansion of J in K 1.205 * [backup-simplify]: Simplify J into J 1.205 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.205 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.205 * [taylor]: Taking taylor expansion of U in K 1.205 * [backup-simplify]: Simplify U into U 1.205 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.205 * [taylor]: Taking taylor expansion of 1/2 in K 1.205 * [backup-simplify]: Simplify 1/2 into 1/2 1.205 * [taylor]: Taking taylor expansion of K in K 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.205 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.205 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.205 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.205 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.206 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.206 * [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))) 1.206 * [taylor]: Taking taylor expansion of 1 in K 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [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)))) 1.206 * [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 1.207 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.207 * [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 1.207 * [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 1.208 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.208 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.208 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.208 * [taylor]: Taking taylor expansion of 1/4 in U 1.208 * [backup-simplify]: Simplify 1/4 into 1/4 1.208 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.208 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.208 * [taylor]: Taking taylor expansion of J in U 1.208 * [backup-simplify]: Simplify J into J 1.208 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.208 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.208 * [taylor]: Taking taylor expansion of U in U 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.208 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.208 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.208 * [taylor]: Taking taylor expansion of 1/2 in U 1.208 * [backup-simplify]: Simplify 1/2 into 1/2 1.208 * [taylor]: Taking taylor expansion of K in U 1.208 * [backup-simplify]: Simplify K into K 1.208 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.208 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.208 * [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 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.209 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.209 * [backup-simplify]: Simplify (* 1 1) into 1 1.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.209 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.209 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.209 * [taylor]: Taking taylor expansion of 1 in U 1.209 * [backup-simplify]: Simplify 1 into 1 1.210 * [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))) 1.210 * [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))) 1.210 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.210 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.210 * [backup-simplify]: Simplify (+ 0) into 0 1.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.211 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.211 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.211 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.212 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.214 * [backup-simplify]: 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 1.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.215 * [taylor]: Taking taylor expansion of 1/4 in U 1.215 * [backup-simplify]: Simplify 1/4 into 1/4 1.215 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.215 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.215 * [taylor]: Taking taylor expansion of J in U 1.216 * [backup-simplify]: Simplify J into J 1.216 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.216 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.216 * [taylor]: Taking taylor expansion of U in U 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.216 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.216 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.216 * [taylor]: Taking taylor expansion of 1/2 in U 1.216 * [backup-simplify]: Simplify 1/2 into 1/2 1.216 * [taylor]: Taking taylor expansion of K in U 1.216 * [backup-simplify]: Simplify K into K 1.216 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.216 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.216 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.216 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.217 * [backup-simplify]: Simplify (* 1 1) into 1 1.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.217 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.218 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.218 * [taylor]: Taking taylor expansion of 1 in U 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.218 * [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))) 1.218 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.219 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.219 * [backup-simplify]: Simplify (+ 0) into 0 1.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.223 * [backup-simplify]: 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 1.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.225 * [taylor]: Taking taylor expansion of 1/2 in K 1.225 * [backup-simplify]: Simplify 1/2 into 1/2 1.225 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.225 * [taylor]: Taking taylor expansion of J in K 1.225 * [backup-simplify]: Simplify J into J 1.225 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.225 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.225 * [taylor]: Taking taylor expansion of 1/2 in K 1.225 * [backup-simplify]: Simplify 1/2 into 1/2 1.225 * [taylor]: Taking taylor expansion of K in K 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.226 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.226 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.226 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.226 * [taylor]: Taking taylor expansion of 1/2 in J 1.226 * [backup-simplify]: Simplify 1/2 into 1/2 1.226 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.226 * [taylor]: Taking taylor expansion of J in J 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.226 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.226 * [taylor]: Taking taylor expansion of 1/2 in J 1.226 * [backup-simplify]: Simplify 1/2 into 1/2 1.226 * [taylor]: Taking taylor expansion of K in J 1.226 * [backup-simplify]: Simplify K into K 1.226 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.226 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.226 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.226 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.227 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.227 * [backup-simplify]: Simplify (- 0) into 0 1.227 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.227 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.227 * [taylor]: Taking taylor expansion of 0 in K 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [taylor]: Taking taylor expansion of 0 in J 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.228 * [taylor]: Taking taylor expansion of 0 in J 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.228 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.229 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.233 * [backup-simplify]: Simplify (- 0) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.236 * [backup-simplify]: 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 1.237 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.238 * [backup-simplify]: Simplify (+ 0 1) into 1 1.238 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.238 * [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 1.239 * [taylor]: Taking taylor expansion of K in K 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.239 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.239 * [taylor]: Taking taylor expansion of J in K 1.239 * [backup-simplify]: Simplify J into J 1.239 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.239 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.239 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.239 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.239 * [taylor]: Taking taylor expansion of 1/2 in J 1.239 * [backup-simplify]: Simplify 1/2 into 1/2 1.239 * [taylor]: Taking taylor expansion of K in J 1.239 * [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 1.240 * [backup-simplify]: Simplify (- 0) into 0 1.240 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.240 * [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 1.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in J 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.246 * [taylor]: Taking taylor expansion of 0 in J 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.247 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.249 * [backup-simplify]: Simplify (- 0) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [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))) 1.251 * [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)))))) 1.251 * [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 1.251 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.251 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.251 * [taylor]: Taking taylor expansion of 1 in J 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.251 * [taylor]: Taking taylor expansion of 1/4 in J 1.252 * [backup-simplify]: Simplify 1/4 into 1/4 1.252 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.252 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.252 * [taylor]: Taking taylor expansion of J in J 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.252 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.252 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.252 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.252 * [taylor]: Taking taylor expansion of -1/2 in J 1.252 * [backup-simplify]: Simplify -1/2 into -1/2 1.252 * [taylor]: Taking taylor expansion of K in J 1.252 * [backup-simplify]: Simplify K into K 1.252 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.252 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.252 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.252 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.252 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.253 * [backup-simplify]: Simplify (- 0) into 0 1.253 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.253 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.253 * [taylor]: Taking taylor expansion of U in J 1.253 * [backup-simplify]: Simplify U into U 1.253 * [backup-simplify]: Simplify (* 1 1) into 1 1.253 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.254 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.254 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.254 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.254 * [backup-simplify]: Simplify (+ 1 0) into 1 1.255 * [backup-simplify]: Simplify (sqrt 1) into 1 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.256 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.256 * [taylor]: Taking taylor expansion of 1 in K 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.256 * [taylor]: Taking taylor expansion of 1/4 in K 1.256 * [backup-simplify]: Simplify 1/4 into 1/4 1.256 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.256 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.256 * [taylor]: Taking taylor expansion of J in K 1.256 * [backup-simplify]: Simplify J into J 1.256 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.256 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.256 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.256 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.256 * [taylor]: Taking taylor expansion of -1/2 in K 1.256 * [backup-simplify]: Simplify -1/2 into -1/2 1.256 * [taylor]: Taking taylor expansion of K in K 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.257 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.257 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.257 * [taylor]: Taking taylor expansion of U in K 1.257 * [backup-simplify]: Simplify U into U 1.257 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.257 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.258 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.258 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.258 * [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))) 1.258 * [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)))) 1.259 * [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))))) 1.259 * [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)))))) 1.259 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.259 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.260 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.260 * [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 1.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.262 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.262 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.262 * [taylor]: Taking taylor expansion of 1 in U 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.262 * [taylor]: Taking taylor expansion of 1/4 in U 1.262 * [backup-simplify]: Simplify 1/4 into 1/4 1.262 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.262 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.262 * [taylor]: Taking taylor expansion of J in U 1.262 * [backup-simplify]: Simplify J into J 1.262 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.262 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.262 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.263 * [taylor]: Taking taylor expansion of -1/2 in U 1.263 * [backup-simplify]: Simplify -1/2 into -1/2 1.263 * [taylor]: Taking taylor expansion of K in U 1.263 * [backup-simplify]: Simplify K into K 1.263 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.263 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.263 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.264 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.264 * [taylor]: Taking taylor expansion of U in U 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.264 * [backup-simplify]: Simplify (* 1 1) into 1 1.264 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.265 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.265 * [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))) 1.265 * [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))) 1.265 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.265 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.266 * [backup-simplify]: Simplify (+ 0) into 0 1.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.269 * [backup-simplify]: Simplify (- 0) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.270 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.270 * [backup-simplify]: 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 1.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.272 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.272 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.272 * [taylor]: Taking taylor expansion of 1 in U 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.272 * [taylor]: Taking taylor expansion of 1/4 in U 1.272 * [backup-simplify]: Simplify 1/4 into 1/4 1.272 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.272 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.272 * [taylor]: Taking taylor expansion of J in U 1.272 * [backup-simplify]: Simplify J into J 1.272 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.272 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.272 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.272 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.272 * [taylor]: Taking taylor expansion of -1/2 in U 1.272 * [backup-simplify]: Simplify -1/2 into -1/2 1.272 * [taylor]: Taking taylor expansion of K in U 1.272 * [backup-simplify]: Simplify K into K 1.272 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.272 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.272 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.272 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.272 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.273 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.273 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.273 * [taylor]: Taking taylor expansion of U in U 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.273 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.274 * [backup-simplify]: Simplify (* 1 1) into 1 1.274 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.274 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.274 * [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))) 1.275 * [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))) 1.275 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify (+ 0) into 0 1.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.278 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.280 * [backup-simplify]: 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 1.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -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 (/ J (cos (/ -1/2 K))) in K 1.281 * [taylor]: Taking taylor expansion of J in K 1.281 * [backup-simplify]: Simplify J into J 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.282 * [taylor]: Taking taylor expansion of -1/2 in K 1.282 * [backup-simplify]: Simplify -1/2 into -1/2 1.282 * [taylor]: Taking taylor expansion of K in K 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [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 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.282 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -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 (/ J (cos (/ -1/2 K))) in J 1.283 * [taylor]: Taking taylor expansion of J in J 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.283 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.283 * [taylor]: Taking taylor expansion of -1/2 in J 1.283 * [backup-simplify]: Simplify -1/2 into -1/2 1.283 * [taylor]: Taking taylor expansion of K in J 1.283 * [backup-simplify]: Simplify K into K 1.283 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.283 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.283 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.283 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.283 * [backup-simplify]: Simplify (- 0) into 0 1.284 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.284 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.284 * [taylor]: Taking taylor expansion of 0 in K 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [taylor]: Taking taylor expansion of 0 in J 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.285 * [taylor]: Taking taylor expansion of 0 in J 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.285 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.286 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.292 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.293 * [backup-simplify]: 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 1.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.294 * [backup-simplify]: Simplify (+ 1 0) into 1 1.295 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.295 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.295 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.295 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.295 * [taylor]: Taking taylor expansion of -1/2 in K 1.295 * [backup-simplify]: Simplify -1/2 into -1/2 1.295 * [taylor]: Taking taylor expansion of K in K 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.296 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.296 * [taylor]: Taking taylor expansion of J in K 1.296 * [backup-simplify]: Simplify J into J 1.296 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.296 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.296 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.296 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.296 * [taylor]: Taking taylor expansion of -1/2 in J 1.296 * [backup-simplify]: Simplify -1/2 into -1/2 1.296 * [taylor]: Taking taylor expansion of K in J 1.296 * [backup-simplify]: Simplify K into K 1.296 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.297 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.297 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.297 * [taylor]: Taking taylor expansion of J in J 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.297 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.297 * [backup-simplify]: Simplify (- 0) into 0 1.297 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.297 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.298 * [backup-simplify]: Simplify (+ 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.300 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [taylor]: Taking taylor expansion of 0 in J 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [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 1.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.303 * [taylor]: Taking taylor expansion of 0 in J 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (+ 0) into 0 1.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.304 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [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))) 1.307 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.308 * [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)))) 1.308 * [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 1.308 * [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 1.308 * [taylor]: Taking taylor expansion of -2 in J 1.308 * [backup-simplify]: Simplify -2 into -2 1.308 * [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 1.308 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.308 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.308 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.308 * [taylor]: Taking taylor expansion of 1/2 in J 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of K in J 1.308 * [backup-simplify]: Simplify K into K 1.308 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.309 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.309 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.309 * [taylor]: Taking taylor expansion of J in J 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.309 * [taylor]: Taking taylor expansion of 1/4 in J 1.309 * [backup-simplify]: Simplify 1/4 into 1/4 1.309 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.309 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.309 * [taylor]: Taking taylor expansion of U in J 1.309 * [backup-simplify]: Simplify U into U 1.309 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.309 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.309 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.309 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.309 * [taylor]: Taking taylor expansion of 1/2 in J 1.309 * [backup-simplify]: Simplify 1/2 into 1/2 1.309 * [taylor]: Taking taylor expansion of K in J 1.309 * [backup-simplify]: Simplify K into K 1.309 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.309 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.309 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.309 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.310 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.310 * [backup-simplify]: Simplify (- 0) into 0 1.310 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.310 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.310 * [taylor]: Taking taylor expansion of J in J 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.310 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.311 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.311 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.311 * [taylor]: Taking taylor expansion of 1 in J 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [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))) 1.312 * [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))) 1.312 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.312 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.313 * [backup-simplify]: Simplify (+ 0) into 0 1.314 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.315 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.317 * [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 1.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.318 * [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 1.318 * [taylor]: Taking taylor expansion of -2 in K 1.318 * [backup-simplify]: Simplify -2 into -2 1.319 * [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 1.319 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.319 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.319 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.319 * [taylor]: Taking taylor expansion of 1/2 in K 1.319 * [backup-simplify]: Simplify 1/2 into 1/2 1.319 * [taylor]: Taking taylor expansion of K in K 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.320 * [taylor]: Taking taylor expansion of J in K 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 K 1.320 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.320 * [taylor]: Taking taylor expansion of 1/4 in K 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 K 1.320 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.320 * [taylor]: Taking taylor expansion of U in K 1.320 * [backup-simplify]: Simplify U into U 1.320 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.320 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.320 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.320 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.320 * [taylor]: Taking taylor expansion of 1/2 in K 1.320 * [backup-simplify]: Simplify 1/2 into 1/2 1.320 * [taylor]: Taking taylor expansion of K in K 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.322 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.322 * [taylor]: Taking taylor expansion of J in K 1.322 * [backup-simplify]: Simplify J into J 1.322 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.322 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.322 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.323 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.323 * [taylor]: Taking taylor expansion of 1 in K 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.323 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.323 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.323 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.324 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.324 * [backup-simplify]: Simplify (+ 0) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.325 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.326 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.327 * [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 1.327 * [taylor]: Taking taylor expansion of -2 in U 1.327 * [backup-simplify]: Simplify -2 into -2 1.327 * [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 1.327 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.327 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.327 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.327 * [taylor]: Taking taylor expansion of 1/2 in U 1.327 * [backup-simplify]: Simplify 1/2 into 1/2 1.327 * [taylor]: Taking taylor expansion of K in U 1.327 * [backup-simplify]: Simplify K into K 1.327 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.327 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.327 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.327 * [taylor]: Taking taylor expansion of J in U 1.327 * [backup-simplify]: Simplify J into J 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.327 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.327 * [taylor]: Taking taylor expansion of 1/4 in U 1.327 * [backup-simplify]: Simplify 1/4 into 1/4 1.327 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.327 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.327 * [taylor]: Taking taylor expansion of U in U 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.328 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.328 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.328 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.328 * [taylor]: Taking taylor expansion of 1/2 in U 1.328 * [backup-simplify]: Simplify 1/2 into 1/2 1.328 * [taylor]: Taking taylor expansion of K in U 1.328 * [backup-simplify]: Simplify K into K 1.328 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.328 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.328 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.328 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.328 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.329 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.329 * [taylor]: Taking taylor expansion of J in U 1.329 * [backup-simplify]: Simplify J into J 1.329 * [backup-simplify]: Simplify (* 1 1) into 1 1.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.329 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.330 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.330 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.330 * [taylor]: Taking taylor expansion of 1 in U 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (+ 0 1) into 1 1.331 * [backup-simplify]: Simplify (sqrt 1) into 1 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.332 * [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 1.332 * [taylor]: Taking taylor expansion of -2 in U 1.332 * [backup-simplify]: Simplify -2 into -2 1.332 * [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 1.332 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.332 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.332 * [taylor]: Taking taylor expansion of 1/2 in U 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [taylor]: Taking taylor expansion of K in U 1.332 * [backup-simplify]: Simplify K into K 1.332 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.332 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.332 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.332 * [taylor]: Taking taylor expansion of J in U 1.332 * [backup-simplify]: Simplify J into J 1.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.332 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.332 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.333 * [taylor]: Taking taylor expansion of 1/4 in U 1.333 * [backup-simplify]: Simplify 1/4 into 1/4 1.333 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.333 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.333 * [taylor]: Taking taylor expansion of U in U 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.333 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.333 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.333 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.333 * [taylor]: Taking taylor expansion of 1/2 in U 1.333 * [backup-simplify]: Simplify 1/2 into 1/2 1.333 * [taylor]: Taking taylor expansion of K in U 1.333 * [backup-simplify]: Simplify K into K 1.333 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.333 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.333 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.333 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.333 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.334 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.334 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.334 * [taylor]: Taking taylor expansion of J in U 1.334 * [backup-simplify]: Simplify J into J 1.335 * [backup-simplify]: Simplify (* 1 1) into 1 1.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.335 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.335 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.335 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.335 * [taylor]: Taking taylor expansion of 1 in U 1.335 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (+ 0 1) into 1 1.336 * [backup-simplify]: Simplify (sqrt 1) into 1 1.337 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.338 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.338 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.338 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.338 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.339 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.339 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.339 * [taylor]: Taking taylor expansion of -2 in K 1.339 * [backup-simplify]: Simplify -2 into -2 1.339 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.339 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.339 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.339 * [taylor]: Taking taylor expansion of 1/2 in K 1.339 * [backup-simplify]: Simplify 1/2 into 1/2 1.339 * [taylor]: Taking taylor expansion of K in K 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.340 * [taylor]: Taking taylor expansion of J in K 1.340 * [backup-simplify]: Simplify J into J 1.340 * [backup-simplify]: Simplify (* 1 J) into J 1.340 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.340 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.340 * [taylor]: Taking taylor expansion of -2 in J 1.340 * [backup-simplify]: Simplify -2 into -2 1.340 * [taylor]: Taking taylor expansion of J in J 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (+ 0) into 0 1.341 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.343 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.348 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.348 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.348 * [taylor]: Taking taylor expansion of 0 in K 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [taylor]: Taking taylor expansion of 0 in J 1.348 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify (+ 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.350 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.350 * [taylor]: Taking taylor expansion of 0 in J 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (* -2 0) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.351 * [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))) 1.351 * [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)))) 1.353 * [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))) 1.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.359 * [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))) 1.359 * [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)))) 1.360 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.360 * [taylor]: Taking taylor expansion of 1/4 in K 1.360 * [backup-simplify]: Simplify 1/4 into 1/4 1.360 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.360 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.360 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.360 * [taylor]: Taking taylor expansion of 1/2 in K 1.360 * [backup-simplify]: Simplify 1/2 into 1/2 1.360 * [taylor]: Taking taylor expansion of K in K 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.361 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.361 * [taylor]: Taking taylor expansion of J in K 1.361 * [backup-simplify]: Simplify J into J 1.361 * [backup-simplify]: Simplify (* 1 J) into J 1.361 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.361 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.361 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.361 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.361 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.361 * [taylor]: Taking taylor expansion of 1/4 in J 1.361 * [backup-simplify]: Simplify 1/4 into 1/4 1.362 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.362 * [taylor]: Taking taylor expansion of J in J 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (/ 1 1) into 1 1.362 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.363 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.363 * [backup-simplify]: Simplify -1/4 into -1/4 1.363 * [taylor]: Taking taylor expansion of 0 in J 1.363 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.366 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.366 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.366 * [taylor]: Taking taylor expansion of 1/4 in J 1.366 * [backup-simplify]: Simplify 1/4 into 1/4 1.366 * [taylor]: Taking taylor expansion of J in J 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.367 * [backup-simplify]: Simplify -2 into -2 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.368 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.368 * [backup-simplify]: Simplify (+ 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.370 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.372 * [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 1.373 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.376 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.379 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.381 * [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 1.382 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.383 * [taylor]: Taking taylor expansion of 0 in K 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [taylor]: Taking taylor expansion of 0 in J 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify (+ 0) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.385 * [taylor]: Taking taylor expansion of 0 in J 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in J 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.387 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.389 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.389 * [taylor]: Taking taylor expansion of 0 in J 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.394 * [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))) 1.394 * [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 1.394 * [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 1.394 * [taylor]: Taking taylor expansion of -2 in J 1.394 * [backup-simplify]: Simplify -2 into -2 1.394 * [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 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.394 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.394 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.394 * [taylor]: Taking taylor expansion of 1/4 in J 1.395 * [backup-simplify]: Simplify 1/4 into 1/4 1.395 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.395 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.395 * [taylor]: Taking taylor expansion of J in J 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.395 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.395 * [taylor]: Taking taylor expansion of U in J 1.395 * [backup-simplify]: Simplify U into U 1.395 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.395 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.395 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.395 * [taylor]: Taking taylor expansion of 1/2 in J 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of K in J 1.395 * [backup-simplify]: Simplify K into K 1.395 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.395 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.395 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.395 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.395 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.396 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.396 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.397 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.397 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.397 * [taylor]: Taking taylor expansion of 1 in J 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (+ 0 1) into 1 1.398 * [backup-simplify]: Simplify (sqrt 1) into 1 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.399 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.399 * [taylor]: Taking taylor expansion of 1/2 in J 1.399 * [backup-simplify]: Simplify 1/2 into 1/2 1.399 * [taylor]: Taking taylor expansion of K in J 1.399 * [backup-simplify]: Simplify K into K 1.399 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.399 * [taylor]: Taking taylor expansion of J in J 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.399 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.400 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.400 * [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 1.400 * [taylor]: Taking taylor expansion of -2 in K 1.400 * [backup-simplify]: Simplify -2 into -2 1.400 * [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 1.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.400 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.400 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.400 * [taylor]: Taking taylor expansion of 1/4 in K 1.400 * [backup-simplify]: Simplify 1/4 into 1/4 1.400 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.400 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.400 * [taylor]: Taking taylor expansion of J in K 1.400 * [backup-simplify]: Simplify J into J 1.401 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.401 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.401 * [taylor]: Taking taylor expansion of U in K 1.401 * [backup-simplify]: Simplify U into U 1.401 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.401 * [taylor]: Taking taylor expansion of 1/2 in K 1.401 * [backup-simplify]: Simplify 1/2 into 1/2 1.401 * [taylor]: Taking taylor expansion of K in K 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.401 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.401 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.402 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.402 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.402 * [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))) 1.402 * [taylor]: Taking taylor expansion of 1 in K 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [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)))) 1.403 * [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) 1.403 * [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)) 1.403 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.403 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.404 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.404 * [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 1.405 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.406 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.406 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.406 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.406 * [taylor]: Taking taylor expansion of 1/2 in K 1.406 * [backup-simplify]: Simplify 1/2 into 1/2 1.406 * [taylor]: Taking taylor expansion of K in K 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.407 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.407 * [taylor]: Taking taylor expansion of J in K 1.407 * [backup-simplify]: Simplify J into J 1.407 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.407 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 1.407 * [taylor]: Taking taylor expansion of -2 in U 1.407 * [backup-simplify]: Simplify -2 into -2 1.407 * [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 1.407 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.407 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.407 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.407 * [taylor]: Taking taylor expansion of 1/4 in U 1.407 * [backup-simplify]: Simplify 1/4 into 1/4 1.407 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.407 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.407 * [taylor]: Taking taylor expansion of J in U 1.407 * [backup-simplify]: Simplify J into J 1.407 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.407 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.407 * [taylor]: Taking taylor expansion of U in U 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.407 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.408 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.408 * [taylor]: Taking taylor expansion of 1/2 in U 1.408 * [backup-simplify]: Simplify 1/2 into 1/2 1.408 * [taylor]: Taking taylor expansion of K in U 1.408 * [backup-simplify]: Simplify K into K 1.408 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.408 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.408 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.408 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.408 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.409 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.409 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.409 * [backup-simplify]: Simplify (* 1 1) into 1 1.409 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.409 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.409 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.409 * [taylor]: Taking taylor expansion of 1 in U 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [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))) 1.410 * [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))) 1.410 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.410 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.411 * [backup-simplify]: Simplify (+ 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.413 * [backup-simplify]: Simplify (- 0) into 0 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.416 * [backup-simplify]: 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 1.416 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.417 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.417 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.417 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.417 * [taylor]: Taking taylor expansion of 1/2 in U 1.417 * [backup-simplify]: Simplify 1/2 into 1/2 1.417 * [taylor]: Taking taylor expansion of K in U 1.417 * [backup-simplify]: Simplify K into K 1.417 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.417 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.417 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.417 * [taylor]: Taking taylor expansion of J in U 1.417 * [backup-simplify]: Simplify J into J 1.417 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.418 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.418 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.418 * [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 1.418 * [taylor]: Taking taylor expansion of -2 in U 1.418 * [backup-simplify]: Simplify -2 into -2 1.418 * [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 1.418 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.418 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.418 * [taylor]: Taking taylor expansion of 1/4 in U 1.418 * [backup-simplify]: Simplify 1/4 into 1/4 1.418 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.419 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.419 * [taylor]: Taking taylor expansion of J in U 1.419 * [backup-simplify]: Simplify J into J 1.419 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.419 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.419 * [taylor]: Taking taylor expansion of U in U 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.419 * [taylor]: Taking taylor expansion of 1/2 in U 1.419 * [backup-simplify]: Simplify 1/2 into 1/2 1.419 * [taylor]: Taking taylor expansion of K in U 1.419 * [backup-simplify]: Simplify K into K 1.419 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.419 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.419 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.419 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.419 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.420 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.420 * [backup-simplify]: Simplify (* 1 1) into 1 1.420 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.420 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.421 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.421 * [taylor]: Taking taylor expansion of 1 in U 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [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))) 1.421 * [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))) 1.421 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.422 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.422 * [backup-simplify]: Simplify (+ 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.423 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.426 * [backup-simplify]: 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 1.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.428 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.428 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.428 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.428 * [taylor]: Taking taylor expansion of 1/2 in U 1.428 * [backup-simplify]: Simplify 1/2 into 1/2 1.428 * [taylor]: Taking taylor expansion of K in U 1.428 * [backup-simplify]: Simplify K into K 1.428 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.428 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.428 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.428 * [taylor]: Taking taylor expansion of J in U 1.428 * [backup-simplify]: Simplify J into J 1.428 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.428 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.429 * [backup-simplify]: Simplify (- 0) into 0 1.429 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.429 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.429 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.430 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.430 * [taylor]: Taking taylor expansion of -1 in K 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of -1 in J 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [backup-simplify]: Simplify (+ 0) into 0 1.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.431 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.434 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.434 * [taylor]: Taking taylor expansion of 0 in K 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [taylor]: Taking taylor expansion of 0 in J 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [taylor]: Taking taylor expansion of 0 in J 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify -1 into -1 1.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.440 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.441 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.443 * [backup-simplify]: 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 1.444 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 1) into 1 1.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.445 * [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)) 1.446 * [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)))) 1.446 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.446 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.446 * [taylor]: Taking taylor expansion of 2 in K 1.446 * [backup-simplify]: Simplify 2 into 2 1.446 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.446 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.446 * [taylor]: Taking taylor expansion of 1/2 in K 1.446 * [backup-simplify]: Simplify 1/2 into 1/2 1.446 * [taylor]: Taking taylor expansion of K in K 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.446 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.446 * [taylor]: Taking taylor expansion of J in K 1.446 * [backup-simplify]: Simplify J into J 1.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.446 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.446 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.447 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.447 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.447 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.447 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.447 * [taylor]: Taking taylor expansion of 2 in J 1.447 * [backup-simplify]: Simplify 2 into 2 1.447 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.447 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.447 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.447 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.447 * [taylor]: Taking taylor expansion of 1/2 in J 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of K in J 1.447 * [backup-simplify]: Simplify K into K 1.447 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.447 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.447 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.447 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.447 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.447 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.448 * [taylor]: Taking taylor expansion of J in J 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.448 * [backup-simplify]: Simplify (+ 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.450 * [backup-simplify]: Simplify (- 0) into 0 1.450 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [taylor]: Taking taylor expansion of 0 in J 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in J 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.453 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.455 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.456 * [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 1.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.458 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.461 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.463 * [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 1.464 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.464 * [taylor]: Taking taylor expansion of 0 in K 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [taylor]: Taking taylor expansion of 0 in J 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.464 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.465 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.465 * [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 * [taylor]: Taking taylor expansion of 0 in J 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 1.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.468 * [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 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [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 1.471 * [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) 1.472 * [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)))))))) 1.472 * [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 1.472 * [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 1.472 * [taylor]: Taking taylor expansion of 2 in J 1.472 * [backup-simplify]: Simplify 2 into 2 1.472 * [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 1.472 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.472 * [taylor]: Taking taylor expansion of -1/2 in J 1.472 * [backup-simplify]: Simplify -1/2 into -1/2 1.472 * [taylor]: Taking taylor expansion of K in J 1.472 * [backup-simplify]: Simplify K into K 1.472 * [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 1.473 * [backup-simplify]: Simplify (- 0) into 0 1.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.473 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.473 * [taylor]: Taking taylor expansion of (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 (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.473 * [taylor]: Taking taylor expansion of 1 in J 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.473 * [taylor]: Taking taylor expansion of 1/4 in J 1.473 * [backup-simplify]: Simplify 1/4 into 1/4 1.473 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.473 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.473 * [taylor]: Taking taylor expansion of J in J 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.473 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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) 1.474 * [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 1.474 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.474 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.474 * [taylor]: Taking taylor expansion of U in J 1.474 * [backup-simplify]: Simplify U into U 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.474 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.474 * [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 1.475 * [backup-simplify]: Simplify (sqrt 1) into 1 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.478 * [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 1.478 * [taylor]: Taking taylor expansion of 2 in K 1.478 * [backup-simplify]: Simplify 2 into 2 1.478 * [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 1.478 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.478 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.478 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.478 * [taylor]: Taking taylor expansion of -1/2 in K 1.478 * [backup-simplify]: Simplify -1/2 into -1/2 1.478 * [taylor]: Taking taylor expansion of K in K 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [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 J in K 1.478 * [backup-simplify]: Simplify J into J 1.478 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.479 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.479 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.479 * [taylor]: Taking taylor expansion of 1 in K 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.479 * [taylor]: Taking taylor expansion of 1/4 in K 1.479 * [backup-simplify]: Simplify 1/4 into 1/4 1.479 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.479 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.479 * [taylor]: Taking taylor expansion of J in K 1.479 * [backup-simplify]: Simplify J into J 1.479 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.479 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.479 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.479 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.479 * [taylor]: Taking taylor expansion of -1/2 in K 1.479 * [backup-simplify]: Simplify -1/2 into -1/2 1.479 * [taylor]: Taking taylor expansion of K in K 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.479 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.479 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.479 * [taylor]: Taking taylor expansion of U in K 1.479 * [backup-simplify]: Simplify U into U 1.479 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.479 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.479 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.480 * [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))) 1.480 * [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)))) 1.480 * [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))))) 1.480 * [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)))))) 1.480 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.480 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.480 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.481 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.481 * [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 1.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 0) into 0 1.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.482 * [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 1.482 * [taylor]: Taking taylor expansion of 2 in U 1.482 * [backup-simplify]: Simplify 2 into 2 1.482 * [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 1.482 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) 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 * [taylor]: Taking taylor expansion of J in U 1.482 * [backup-simplify]: Simplify J into J 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 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.483 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.483 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.483 * [taylor]: Taking taylor expansion of 1 in U 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.483 * [taylor]: Taking taylor expansion of 1/4 in U 1.483 * [backup-simplify]: Simplify 1/4 into 1/4 1.483 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.483 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.483 * [taylor]: Taking taylor expansion of J in U 1.483 * [backup-simplify]: Simplify J into J 1.483 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.483 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.483 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.483 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.483 * [taylor]: Taking taylor expansion of -1/2 in U 1.483 * [backup-simplify]: Simplify -1/2 into -1/2 1.483 * [taylor]: Taking taylor expansion of K in U 1.483 * [backup-simplify]: Simplify K into K 1.483 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.483 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.483 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.483 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.483 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.484 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.484 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.484 * [taylor]: Taking taylor expansion of U in U 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.484 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.484 * [backup-simplify]: Simplify (* 1 1) into 1 1.484 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.484 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.484 * [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))) 1.485 * [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))) 1.485 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.485 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (+ 0) into 0 1.486 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.487 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.487 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.488 * [backup-simplify]: 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 1.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.489 * [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 1.489 * [taylor]: Taking taylor expansion of 2 in U 1.489 * [backup-simplify]: Simplify 2 into 2 1.489 * [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 1.489 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) 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 * [taylor]: Taking taylor expansion of J in U 1.489 * [backup-simplify]: Simplify J into J 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 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.489 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.489 * [taylor]: Taking taylor expansion of 1 in U 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.490 * [taylor]: Taking taylor expansion of 1/4 in U 1.490 * [backup-simplify]: Simplify 1/4 into 1/4 1.490 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.490 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.490 * [taylor]: Taking taylor expansion of J in U 1.490 * [backup-simplify]: Simplify J into J 1.490 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.490 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.490 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.490 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.490 * [taylor]: Taking taylor expansion of -1/2 in U 1.490 * [backup-simplify]: Simplify -1/2 into -1/2 1.490 * [taylor]: Taking taylor expansion of K in U 1.490 * [backup-simplify]: Simplify K into K 1.490 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.490 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.490 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.490 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.490 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.490 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.490 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.490 * [taylor]: Taking taylor expansion of U in U 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.490 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.491 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.491 * [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))) 1.491 * [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))) 1.491 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.491 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (+ 0) into 0 1.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.493 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.493 * [backup-simplify]: Simplify (- 0) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.494 * [backup-simplify]: 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 1.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.495 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.496 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.496 * [taylor]: Taking taylor expansion of 1 in K 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [taylor]: Taking taylor expansion of 1 in J 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (+ 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.497 * [backup-simplify]: Simplify (- 0) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.498 * [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 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.502 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.504 * [backup-simplify]: Simplify (+ 1 0) into 1 1.505 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.507 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.507 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.508 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.510 * [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)) 1.511 * [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))) 1.511 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.511 * [taylor]: Taking taylor expansion of 2 in K 1.511 * [backup-simplify]: Simplify 2 into 2 1.511 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.511 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.511 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.511 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.511 * [taylor]: Taking taylor expansion of -1/2 in K 1.511 * [backup-simplify]: Simplify -1/2 into -1/2 1.511 * [taylor]: Taking taylor expansion of K in K 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.511 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.512 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.512 * [taylor]: Taking taylor expansion of J in K 1.512 * [backup-simplify]: Simplify J into J 1.512 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.512 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.512 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.512 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.513 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.513 * [taylor]: Taking taylor expansion of 2 in J 1.513 * [backup-simplify]: Simplify 2 into 2 1.513 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.513 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.513 * [taylor]: Taking taylor expansion of -1/2 in J 1.513 * [backup-simplify]: Simplify -1/2 into -1/2 1.513 * [taylor]: Taking taylor expansion of K in J 1.513 * [backup-simplify]: Simplify K into K 1.513 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.513 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.514 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.514 * [taylor]: Taking taylor expansion of J in J 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.514 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.515 * [backup-simplify]: Simplify (+ 0) into 0 1.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.517 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [taylor]: Taking taylor expansion of 0 in J 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [taylor]: Taking taylor expansion of 0 in J 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.527 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.527 * [backup-simplify]: Simplify (- 0) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.529 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.530 * [backup-simplify]: 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 1.531 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.538 * [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 1.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in K 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [taylor]: Taking taylor expansion of 0 in J 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.540 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.540 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.541 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.541 * [taylor]: Taking taylor expansion of 0 in J 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [taylor]: Taking taylor expansion of 0 in J 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [taylor]: Taking taylor expansion of 0 in J 1.541 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.545 * [backup-simplify]: Simplify (- 0) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.549 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.550 * [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)))) 1.550 * [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 1.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.550 * [taylor]: Taking taylor expansion of 1/4 in J 1.550 * [backup-simplify]: Simplify 1/4 into 1/4 1.550 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.550 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.550 * [taylor]: Taking taylor expansion of U in J 1.550 * [backup-simplify]: Simplify U into U 1.550 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.550 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.550 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.550 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.550 * [taylor]: Taking taylor expansion of 1/2 in J 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of K in J 1.550 * [backup-simplify]: Simplify K into K 1.550 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.550 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.550 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.550 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.551 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.551 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.551 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.551 * [taylor]: Taking taylor expansion of J in J 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.551 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.552 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.552 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.552 * [taylor]: Taking taylor expansion of 1/4 in K 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 K 1.552 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.552 * [taylor]: Taking taylor expansion of U in K 1.552 * [backup-simplify]: Simplify U into U 1.552 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.552 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.552 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.552 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.552 * [taylor]: Taking taylor expansion of 1/2 in K 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 1.552 * [taylor]: Taking taylor expansion of K in K 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.554 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.554 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.554 * [taylor]: Taking taylor expansion of J in K 1.554 * [backup-simplify]: Simplify J into J 1.554 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.554 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.554 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.555 * [taylor]: Taking taylor expansion of 1/4 in U 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 U 1.555 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.555 * [taylor]: Taking taylor expansion of U in U 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.555 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.555 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.555 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.555 * [taylor]: Taking taylor expansion of 1/2 in U 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of K in U 1.555 * [backup-simplify]: Simplify K into K 1.555 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.555 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.555 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.555 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.555 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.556 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.556 * [taylor]: Taking taylor expansion of J in U 1.556 * [backup-simplify]: Simplify J into J 1.556 * [backup-simplify]: Simplify (* 1 1) into 1 1.556 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.556 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.557 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.557 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.557 * [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) 1.557 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.557 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.557 * [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)) 1.558 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.558 * [taylor]: Taking taylor expansion of J in U 1.558 * [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)) 1.559 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.559 * [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))) 1.560 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.560 * [taylor]: Taking taylor expansion of 1/4 in K 1.560 * [backup-simplify]: Simplify 1/4 into 1/4 1.560 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.560 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.560 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.560 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.560 * [taylor]: Taking taylor expansion of 1/2 in K 1.560 * [backup-simplify]: Simplify 1/2 into 1/2 1.560 * [taylor]: Taking taylor expansion of K in K 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.561 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.561 * [taylor]: Taking taylor expansion of J in K 1.561 * [backup-simplify]: Simplify J into J 1.562 * [backup-simplify]: Simplify (* 1 1) into 1 1.562 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.562 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.562 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.562 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.562 * [taylor]: Taking taylor expansion of 1/4 in J 1.562 * [backup-simplify]: Simplify 1/4 into 1/4 1.562 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.562 * [taylor]: Taking taylor expansion of J in J 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.563 * [backup-simplify]: Simplify 1/4 into 1/4 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.564 * [backup-simplify]: Simplify (+ 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.569 * [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 1.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.569 * [taylor]: Taking taylor expansion of 0 in K 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [taylor]: Taking taylor expansion of 0 in J 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.570 * [backup-simplify]: Simplify (+ 0) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.571 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.571 * [taylor]: Taking taylor expansion of 0 in J 1.571 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.577 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.581 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.582 * [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 1.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.583 * [taylor]: Taking taylor expansion of 0 in K 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [taylor]: Taking taylor expansion of 0 in J 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [taylor]: Taking taylor expansion of 0 in J 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.584 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.586 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.587 * [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))) 1.587 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.587 * [taylor]: Taking taylor expansion of 1/16 in J 1.587 * [backup-simplify]: Simplify 1/16 into 1/16 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.587 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.587 * [taylor]: Taking taylor expansion of J in J 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (* 1 1) into 1 1.588 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.588 * [backup-simplify]: Simplify 1/16 into 1/16 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.594 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.594 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.598 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.601 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.602 * [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 1.603 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.603 * [taylor]: Taking taylor expansion of 0 in K 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [taylor]: Taking taylor expansion of 0 in J 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [taylor]: Taking taylor expansion of 0 in J 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [taylor]: Taking taylor expansion of 0 in J 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.607 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.610 * [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 1.610 * [taylor]: Taking taylor expansion of 0 in J 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.619 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.621 * [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 1.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.626 * [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 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.629 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.631 * [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 1.632 * [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 1.632 * [taylor]: Taking taylor expansion of 0 in K 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [taylor]: Taking taylor expansion of 0 in J 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 1.633 * [taylor]: Taking taylor expansion of 0 in J 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 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.638 * [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)) 1.642 * [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))) 1.642 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 1.642 * [taylor]: Taking taylor expansion of 1/96 in J 1.642 * [backup-simplify]: Simplify 1/96 into 1/96 1.642 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.642 * [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 1.643 * [backup-simplify]: Simplify (* 1 1) into 1 1.643 * [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))))) 1.645 * [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)))) 1.645 * [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 1.645 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.645 * [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 1.646 * [taylor]: Taking taylor expansion of K in J 1.646 * [backup-simplify]: Simplify K into K 1.646 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.646 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.646 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.646 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.646 * [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)) 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.647 * [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 1.648 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.648 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.648 * [taylor]: Taking taylor expansion of J in K 1.648 * [backup-simplify]: Simplify J into J 1.648 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.648 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.648 * [taylor]: Taking taylor expansion of U in K 1.648 * [backup-simplify]: Simplify U into U 1.648 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.648 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.648 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.648 * [taylor]: Taking taylor expansion of 1/2 in K 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of K in K 1.648 * [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) 1.649 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.649 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.649 * [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 1.650 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.650 * [taylor]: Taking taylor expansion of 1/2 in U 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of K in U 1.650 * [backup-simplify]: Simplify K into K 1.650 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.650 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.650 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.650 * [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)) 1.651 * [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 1.652 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.652 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.652 * [taylor]: Taking taylor expansion of J in U 1.652 * [backup-simplify]: Simplify J into J 1.652 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.652 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.652 * [taylor]: Taking taylor expansion of U in U 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.652 * [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 1.653 * [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) 1.654 * [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 1.658 * [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) 1.659 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.659 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.659 * [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 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.662 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) 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 1.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.665 * [taylor]: Taking taylor expansion of 0 in K 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [taylor]: Taking taylor expansion of 0 in J 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.666 * [backup-simplify]: 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 1.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.667 * [taylor]: Taking taylor expansion of 0 in J 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.668 * [backup-simplify]: Simplify (+ 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.671 * [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 1.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.674 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.677 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.679 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in K 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in J 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in J 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.681 * [backup-simplify]: 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 1.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.682 * [taylor]: Taking taylor expansion of 0 in J 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [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)))) 1.683 * [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)))) 1.683 * [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 1.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.683 * [taylor]: Taking taylor expansion of 1/4 in J 1.683 * [backup-simplify]: Simplify 1/4 into 1/4 1.683 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.683 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.683 * [taylor]: Taking taylor expansion of J in J 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.683 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.683 * [taylor]: Taking taylor expansion of -1/2 in J 1.683 * [backup-simplify]: Simplify -1/2 into -1/2 1.683 * [taylor]: Taking taylor expansion of K in J 1.683 * [backup-simplify]: Simplify K into K 1.683 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.683 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.683 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.683 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.683 * [backup-simplify]: Simplify (- 0) into 0 1.684 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.684 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.684 * [taylor]: Taking taylor expansion of U in J 1.684 * [backup-simplify]: Simplify U into U 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.684 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.684 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.684 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.684 * [taylor]: Taking taylor expansion of 1/4 in K 1.684 * [backup-simplify]: Simplify 1/4 into 1/4 1.684 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.684 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.684 * [taylor]: Taking taylor expansion of J in K 1.684 * [backup-simplify]: Simplify J into J 1.684 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.684 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.684 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.684 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.684 * [taylor]: Taking taylor expansion of -1/2 in K 1.684 * [backup-simplify]: Simplify -1/2 into -1/2 1.684 * [taylor]: Taking taylor expansion of K in K 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.685 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.685 * [taylor]: Taking taylor expansion of U in K 1.685 * [backup-simplify]: Simplify U into U 1.685 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.685 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.685 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.685 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.685 * [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))) 1.685 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.685 * [taylor]: Taking taylor expansion of 1/4 in U 1.685 * [backup-simplify]: Simplify 1/4 into 1/4 1.685 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.685 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.685 * [taylor]: Taking taylor expansion of J in U 1.685 * [backup-simplify]: Simplify J into J 1.685 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.685 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.685 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.685 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.685 * [taylor]: Taking taylor expansion of -1/2 in U 1.685 * [backup-simplify]: Simplify -1/2 into -1/2 1.685 * [taylor]: Taking taylor expansion of K in U 1.685 * [backup-simplify]: Simplify K into K 1.685 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.686 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.686 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.686 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.686 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.686 * [taylor]: Taking taylor expansion of U in U 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.686 * [backup-simplify]: Simplify (* 1 1) into 1 1.687 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.687 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.687 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.687 * [taylor]: Taking taylor expansion of 1/4 in U 1.687 * [backup-simplify]: Simplify 1/4 into 1/4 1.687 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.687 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.687 * [taylor]: Taking taylor expansion of J in U 1.687 * [backup-simplify]: Simplify J into J 1.687 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.687 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.687 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.687 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.687 * [taylor]: Taking taylor expansion of -1/2 in U 1.687 * [backup-simplify]: Simplify -1/2 into -1/2 1.687 * [taylor]: Taking taylor expansion of K in U 1.687 * [backup-simplify]: Simplify K into K 1.687 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.687 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.687 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.687 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.687 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.687 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.687 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.687 * [taylor]: Taking taylor expansion of U in U 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.688 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.688 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.688 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.688 * [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))) 1.688 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 1.688 * [taylor]: Taking taylor expansion of 1/4 in K 1.688 * [backup-simplify]: Simplify 1/4 into 1/4 1.688 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 1.688 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.688 * [taylor]: Taking taylor expansion of J in K 1.688 * [backup-simplify]: Simplify J into J 1.688 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.688 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.688 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.688 * [taylor]: Taking taylor expansion of -1/2 in K 1.688 * [backup-simplify]: Simplify -1/2 into -1/2 1.688 * [taylor]: Taking taylor expansion of K in K 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.689 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.689 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.689 * [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))) 1.689 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 1.689 * [taylor]: Taking taylor expansion of 1/4 in J 1.689 * [backup-simplify]: Simplify 1/4 into 1/4 1.689 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 1.689 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.689 * [taylor]: Taking taylor expansion of J in J 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.689 * [taylor]: Taking taylor expansion of -1/2 in J 1.689 * [backup-simplify]: Simplify -1/2 into -1/2 1.689 * [taylor]: Taking taylor expansion of K in J 1.689 * [backup-simplify]: Simplify K into K 1.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.690 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.690 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.690 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 1.690 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.691 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.691 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.691 * [backup-simplify]: Simplify (+ 0) into 0 1.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.692 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 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))))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.694 * [taylor]: Taking taylor expansion of 0 in K 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [taylor]: Taking taylor expansion of 0 in J 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) 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))))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.696 * [backup-simplify]: Simplify (+ 0) into 0 1.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.698 * [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 1.698 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.699 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.700 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.701 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.701 * [backup-simplify]: Simplify (- 0) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.702 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.702 * [backup-simplify]: 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 1.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.703 * [taylor]: Taking taylor expansion of 0 in K 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [taylor]: Taking taylor expansion of 0 in J 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [taylor]: Taking taylor expansion of 0 in J 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.704 * [backup-simplify]: 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 1.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) 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 (* (/ 1/4 (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)))) 1.705 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.705 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 1.705 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 1.705 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.705 * [taylor]: Taking taylor expansion of 1/2 in J 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.705 * [taylor]: Taking taylor expansion of K in J 1.705 * [backup-simplify]: Simplify K into K 1.705 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.705 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.705 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.705 * [taylor]: Taking taylor expansion of J in J 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.705 * [taylor]: Taking taylor expansion of 1/2 in K 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.705 * [taylor]: Taking taylor expansion of K in K 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.706 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.706 * [taylor]: Taking taylor expansion of J in K 1.706 * [backup-simplify]: Simplify J into J 1.706 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.706 * [taylor]: Taking taylor expansion of 1/2 in K 1.706 * [backup-simplify]: Simplify 1/2 into 1/2 1.706 * [taylor]: Taking taylor expansion of K in K 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.707 * [taylor]: Taking taylor expansion of J in K 1.707 * [backup-simplify]: Simplify J into J 1.707 * [backup-simplify]: Simplify (* 1 J) into J 1.707 * [taylor]: Taking taylor expansion of J in J 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ 0) into 0 1.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in J 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.709 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 1.709 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 1.709 * [taylor]: Taking taylor expansion of 1/8 in J 1.709 * [backup-simplify]: Simplify 1/8 into 1/8 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 (* 1/8 0) into 0 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.711 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.712 * [taylor]: Taking taylor expansion of 0 in J 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.713 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.713 * [backup-simplify]: Simplify -1/8 into -1/8 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.717 * [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 1.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.719 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 1.719 * [taylor]: Taking taylor expansion of 1/384 in J 1.719 * [backup-simplify]: Simplify 1/384 into 1/384 1.719 * [taylor]: Taking taylor expansion of J in J 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (* 1/384 0) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 1.721 * [backup-simplify]: Simplify (- 0) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 1.722 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 1.722 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 1.722 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.722 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.722 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.722 * [taylor]: Taking taylor expansion of 1/2 in J 1.722 * [backup-simplify]: Simplify 1/2 into 1/2 1.722 * [taylor]: Taking taylor expansion of K in J 1.722 * [backup-simplify]: Simplify K into K 1.722 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.722 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.722 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.722 * [taylor]: Taking taylor expansion of J in J 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.722 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.723 * [backup-simplify]: Simplify (- 0) into 0 1.723 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.723 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.723 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.723 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.723 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.723 * [taylor]: Taking taylor expansion of 1/2 in K 1.723 * [backup-simplify]: Simplify 1/2 into 1/2 1.723 * [taylor]: Taking taylor expansion of K in K 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.724 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.724 * [taylor]: Taking taylor expansion of J in K 1.724 * [backup-simplify]: Simplify J into J 1.724 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.724 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.724 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.724 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.724 * [taylor]: Taking taylor expansion of 1/2 in K 1.724 * [backup-simplify]: Simplify 1/2 into 1/2 1.724 * [taylor]: Taking taylor expansion of K in K 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.724 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.724 * [taylor]: Taking taylor expansion of J in K 1.724 * [backup-simplify]: Simplify J into J 1.725 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.725 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.725 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.725 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.725 * [taylor]: Taking taylor expansion of 1/2 in J 1.725 * [backup-simplify]: Simplify 1/2 into 1/2 1.725 * [taylor]: Taking taylor expansion of K in J 1.725 * [backup-simplify]: Simplify K into K 1.725 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.725 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.725 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.725 * [taylor]: Taking taylor expansion of J in J 1.725 * [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 1.726 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.726 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.726 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.726 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.726 * [taylor]: Taking taylor expansion of 0 in J 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (+ 0) into 0 1.727 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.727 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.728 * [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 1.729 * [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 0 into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in J 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.732 * [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 1.735 * [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 1.736 * [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 1.737 * [taylor]: Taking taylor expansion of 0 in J 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.739 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.742 * [backup-simplify]: Simplify (- 0) into 0 1.742 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 1.744 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.744 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.744 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.744 * [taylor]: Taking taylor expansion of -1 in J 1.744 * [backup-simplify]: Simplify -1 into -1 1.745 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.745 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.745 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.745 * [taylor]: Taking taylor expansion of -1/2 in J 1.745 * [backup-simplify]: Simplify -1/2 into -1/2 1.745 * [taylor]: Taking taylor expansion of K in J 1.745 * [backup-simplify]: Simplify K into K 1.745 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.745 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.745 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.745 * [taylor]: Taking taylor expansion of J in J 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.745 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.746 * [backup-simplify]: Simplify (- 0) into 0 1.746 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.746 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.746 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.746 * [taylor]: Taking taylor expansion of -1 in K 1.746 * [backup-simplify]: Simplify -1 into -1 1.746 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.746 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.746 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.746 * [taylor]: Taking taylor expansion of -1/2 in K 1.746 * [backup-simplify]: Simplify -1/2 into -1/2 1.746 * [taylor]: Taking taylor expansion of K in K 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.747 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.747 * [taylor]: Taking taylor expansion of J in K 1.747 * [backup-simplify]: Simplify J into J 1.747 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.747 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.747 * [taylor]: Taking taylor expansion of -1 in K 1.747 * [backup-simplify]: Simplify -1 into -1 1.747 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.747 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.747 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.747 * [taylor]: Taking taylor expansion of -1/2 in K 1.747 * [backup-simplify]: Simplify -1/2 into -1/2 1.747 * [taylor]: Taking taylor expansion of K in K 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.750 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.750 * [taylor]: Taking taylor expansion of J in K 1.750 * [backup-simplify]: Simplify J into J 1.750 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.750 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.750 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.750 * [taylor]: Taking taylor expansion of -1 in J 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.750 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.750 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.750 * [taylor]: Taking taylor expansion of -1/2 in J 1.750 * [backup-simplify]: Simplify -1/2 into -1/2 1.750 * [taylor]: Taking taylor expansion of K in J 1.750 * [backup-simplify]: Simplify K into K 1.751 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.751 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.751 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.751 * [taylor]: Taking taylor expansion of J in J 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.751 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.752 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.752 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.752 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.752 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.752 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.753 * [taylor]: Taking taylor expansion of 0 in J 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ 0) into 0 1.754 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.756 * [backup-simplify]: Simplify (- 0) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in J 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.762 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.767 * [taylor]: Taking taylor expansion of 0 in J 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.768 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 1.776 * * * [progress]: simplifying candidates 1.776 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 1.776 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 1.776 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 1.776 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 1.776 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 1.776 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 1.776 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 1.777 * [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)))) 1.777 * * [simplify]: iters left: 6 (15 enodes) 1.785 * * [simplify]: iters left: 5 (59 enodes) 1.805 * * [simplify]: iters left: 4 (112 enodes) 1.858 * * [simplify]: iters left: 3 (365 enodes) 2.136 * * [simplify]: Extracting #0: cost 1 inf + 0 2.136 * * [simplify]: Extracting #1: cost 4 inf + 0 2.136 * * [simplify]: Extracting #2: cost 7 inf + 0 2.136 * * [simplify]: Extracting #3: cost 10 inf + 0 2.136 * * [simplify]: Extracting #4: cost 122 inf + 1 2.138 * * [simplify]: Extracting #5: cost 241 inf + 89 2.146 * * [simplify]: Extracting #6: cost 203 inf + 3666 2.154 * * [simplify]: Extracting #7: cost 128 inf + 17960 2.177 * * [simplify]: Extracting #8: cost 13 inf + 45848 2.207 * * [simplify]: Extracting #9: cost 0 inf + 48961 2.237 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 2.237 * [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))) 2.238 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 2.238 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 2.238 * * [simplify]: iters left: 6 (14 enodes) 2.245 * * [simplify]: iters left: 5 (55 enodes) 2.264 * * [simplify]: iters left: 4 (108 enodes) 2.318 * * [simplify]: iters left: 3 (363 enodes) 2.575 * * [simplify]: Extracting #0: cost 1 inf + 0 2.575 * * [simplify]: Extracting #1: cost 3 inf + 0 2.575 * * [simplify]: Extracting #2: cost 5 inf + 0 2.575 * * [simplify]: Extracting #3: cost 8 inf + 0 2.575 * * [simplify]: Extracting #4: cost 123 inf + 1 2.578 * * [simplify]: Extracting #5: cost 234 inf + 420 2.581 * * [simplify]: Extracting #6: cost 203 inf + 3175 2.589 * * [simplify]: Extracting #7: cost 127 inf + 18949 2.616 * * [simplify]: Extracting #8: cost 7 inf + 46860 2.638 * * [simplify]: Extracting #9: cost 0 inf + 48232 2.655 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 2.655 * [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))) 2.655 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 2.655 * [simplify]: Simplifying (sqrt 1) 2.656 * * [simplify]: iters left: 1 (2 enodes) 2.657 * * [simplify]: Extracting #0: cost 1 inf + 0 2.657 * * [simplify]: Extracting #1: cost 0 inf + 1 2.658 * [simplify]: Simplified to 1 2.658 * [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))) 2.658 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 2.658 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 2.658 * * [simplify]: iters left: 6 (16 enodes) 2.663 * * [simplify]: iters left: 5 (70 enodes) 2.685 * * [simplify]: iters left: 4 (176 enodes) 2.771 * * [simplify]: Extracting #0: cost 1 inf + 0 2.771 * * [simplify]: Extracting #1: cost 3 inf + 0 2.771 * * [simplify]: Extracting #2: cost 6 inf + 0 2.771 * * [simplify]: Extracting #3: cost 103 inf + 1 2.773 * * [simplify]: Extracting #4: cost 306 inf + 6 2.775 * * [simplify]: Extracting #5: cost 338 inf + 1810 2.783 * * [simplify]: Extracting #6: cost 242 inf + 27932 2.800 * * [simplify]: Extracting #7: cost 28 inf + 100762 2.838 * * [simplify]: Extracting #8: cost 0 inf + 110036 2.884 * [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))))))) 2.884 * [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))) 2.884 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 2.884 * [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))) 2.884 * * [simplify]: iters left: 6 (15 enodes) 2.889 * * [simplify]: iters left: 5 (62 enodes) 2.900 * * [simplify]: iters left: 4 (150 enodes) 3.007 * * [simplify]: Extracting #0: cost 1 inf + 0 3.007 * * [simplify]: Extracting #1: cost 3 inf + 0 3.007 * * [simplify]: Extracting #2: cost 9 inf + 0 3.007 * * [simplify]: Extracting #3: cost 105 inf + 2 3.008 * * [simplify]: Extracting #4: cost 286 inf + 6 3.009 * * [simplify]: Extracting #5: cost 280 inf + 1923 3.017 * * [simplify]: Extracting #6: cost 191 inf + 25190 3.040 * * [simplify]: Extracting #7: cost 26 inf + 76271 3.076 * * [simplify]: Extracting #8: cost 0 inf + 85028 3.100 * [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)) 3.100 * [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))) 3.100 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 3.100 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3.100 * * [simplify]: iters left: 6 (12 enodes) 3.103 * * [simplify]: iters left: 5 (49 enodes) 3.112 * * [simplify]: iters left: 4 (102 enodes) 3.161 * * [simplify]: iters left: 3 (356 enodes) 3.398 * * [simplify]: Extracting #0: cost 1 inf + 0 3.398 * * [simplify]: Extracting #1: cost 4 inf + 0 3.399 * * [simplify]: Extracting #2: cost 116 inf + 1 3.401 * * [simplify]: Extracting #3: cost 234 inf + 254 3.404 * * [simplify]: Extracting #4: cost 192 inf + 4198 3.408 * * [simplify]: Extracting #5: cost 121 inf + 19235 3.422 * * [simplify]: Extracting #6: cost 5 inf + 46310 3.441 * * [simplify]: Extracting #7: cost 0 inf + 47117 3.459 * * [simplify]: Extracting #8: cost 0 inf + 46998 3.476 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 3.476 * [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))) 3.476 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 3.476 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 3.476 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3.477 * * [simplify]: iters left: 6 (13 enodes) 3.484 * * [simplify]: iters left: 5 (52 enodes) 3.501 * * [simplify]: iters left: 4 (105 enodes) 3.551 * * [simplify]: iters left: 3 (359 enodes) 3.830 * * [simplify]: Extracting #0: cost 1 inf + 0 3.830 * * [simplify]: Extracting #1: cost 3 inf + 0 3.830 * * [simplify]: Extracting #2: cost 6 inf + 0 3.830 * * [simplify]: Extracting #3: cost 118 inf + 1 3.831 * * [simplify]: Extracting #4: cost 235 inf + 336 3.834 * * [simplify]: Extracting #5: cost 193 inf + 4402 3.847 * * [simplify]: Extracting #6: cost 119 inf + 19348 3.873 * * [simplify]: Extracting #7: cost 7 inf + 46040 3.902 * * [simplify]: Extracting #8: cost 0 inf + 47488 3.932 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 3.932 * [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))) 3.933 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 3.933 * * * * [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)))> 3.933 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 3.933 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.933 * * [simplify]: iters left: 6 (16 enodes) 3.942 * * [simplify]: iters left: 5 (67 enodes) 3.962 * * [simplify]: iters left: 4 (143 enodes) 4.005 * * [simplify]: iters left: 3 (434 enodes) 4.251 * * [simplify]: Extracting #0: cost 1 inf + 0 4.251 * * [simplify]: Extracting #1: cost 19 inf + 0 4.251 * * [simplify]: Extracting #2: cost 31 inf + 2 4.251 * * [simplify]: Extracting #3: cost 36 inf + 44 4.251 * * [simplify]: Extracting #4: cost 142 inf + 89 4.253 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.267 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.298 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.316 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.342 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.342 * [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)) 4.343 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 4.343 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.343 * * [simplify]: iters left: 6 (16 enodes) 4.348 * * [simplify]: iters left: 5 (67 enodes) 4.359 * * [simplify]: iters left: 4 (143 enodes) 4.409 * * [simplify]: iters left: 3 (434 enodes) 4.641 * * [simplify]: Extracting #0: cost 1 inf + 0 4.641 * * [simplify]: Extracting #1: cost 19 inf + 0 4.641 * * [simplify]: Extracting #2: cost 31 inf + 2 4.641 * * [simplify]: Extracting #3: cost 36 inf + 44 4.641 * * [simplify]: Extracting #4: cost 142 inf + 89 4.643 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.665 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.687 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.704 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.736 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.736 * [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)) 4.736 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 4.736 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.736 * * [simplify]: iters left: 6 (16 enodes) 4.745 * * [simplify]: iters left: 5 (67 enodes) 4.768 * * [simplify]: iters left: 4 (143 enodes) 4.815 * * [simplify]: iters left: 3 (434 enodes) 5.079 * * [simplify]: Extracting #0: cost 1 inf + 0 5.079 * * [simplify]: Extracting #1: cost 19 inf + 0 5.079 * * [simplify]: Extracting #2: cost 31 inf + 2 5.080 * * [simplify]: Extracting #3: cost 36 inf + 44 5.080 * * [simplify]: Extracting #4: cost 142 inf + 89 5.084 * * [simplify]: Extracting #5: cost 232 inf + 4336 5.110 * * [simplify]: Extracting #6: cost 40 inf + 43927 5.129 * * [simplify]: Extracting #7: cost 2 inf + 54059 5.147 * * [simplify]: Extracting #8: cost 0 inf + 54749 5.180 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.181 * [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)) 5.181 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 5.181 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 5.181 * * [simplify]: iters left: 6 (16 enodes) 5.190 * * [simplify]: iters left: 5 (67 enodes) 5.214 * * [simplify]: iters left: 4 (143 enodes) 5.280 * * [simplify]: iters left: 3 (434 enodes) 5.517 * * [simplify]: Extracting #0: cost 1 inf + 0 5.517 * * [simplify]: Extracting #1: cost 19 inf + 0 5.517 * * [simplify]: Extracting #2: cost 31 inf + 2 5.517 * * [simplify]: Extracting #3: cost 36 inf + 44 5.518 * * [simplify]: Extracting #4: cost 142 inf + 89 5.524 * * [simplify]: Extracting #5: cost 232 inf + 4336 5.535 * * [simplify]: Extracting #6: cost 40 inf + 43927 5.553 * * [simplify]: Extracting #7: cost 2 inf + 54059 5.585 * * [simplify]: Extracting #8: cost 0 inf + 54749 5.602 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.602 * [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)) 5.603 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 5.603 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 5.603 * [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))) 5.603 * * [simplify]: iters left: 6 (21 enodes) 5.609 * * [simplify]: iters left: 5 (83 enodes) 5.635 * * [simplify]: iters left: 4 (159 enodes) 5.702 * * [simplify]: iters left: 3 (450 enodes) 5.998 * * [simplify]: Extracting #0: cost 1 inf + 0 5.999 * * [simplify]: Extracting #1: cost 17 inf + 0 5.999 * * [simplify]: Extracting #2: cost 35 inf + 0 5.999 * * [simplify]: Extracting #3: cost 35 inf + 144 5.999 * * [simplify]: Extracting #4: cost 39 inf + 397 6.000 * * [simplify]: Extracting #5: cost 149 inf + 653 6.001 * * [simplify]: Extracting #6: cost 241 inf + 4041 6.010 * * [simplify]: Extracting #7: cost 67 inf + 41321 6.028 * * [simplify]: Extracting #8: cost 2 inf + 59818 6.059 * * [simplify]: Extracting #9: cost 0 inf + 60617 6.079 * [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))) 6.079 * [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))))) 6.079 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 6.079 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 6.079 * * [simplify]: iters left: 6 (19 enodes) 6.084 * * [simplify]: iters left: 5 (77 enodes) 6.101 * * [simplify]: iters left: 4 (149 enodes) 6.166 * * [simplify]: iters left: 3 (437 enodes) 6.412 * * [simplify]: Extracting #0: cost 1 inf + 0 6.412 * * [simplify]: Extracting #1: cost 16 inf + 0 6.412 * * [simplify]: Extracting #2: cost 35 inf + 0 6.412 * * [simplify]: Extracting #3: cost 36 inf + 144 6.412 * * [simplify]: Extracting #4: cost 39 inf + 579 6.413 * * [simplify]: Extracting #5: cost 147 inf + 653 6.416 * * [simplify]: Extracting #6: cost 234 inf + 5707 6.430 * * [simplify]: Extracting #7: cost 48 inf + 45584 6.448 * * [simplify]: Extracting #8: cost 2 inf + 58533 6.466 * * [simplify]: Extracting #9: cost 0 inf + 59248 6.492 * [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)))))))) 6.492 * [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)))))))))) 6.493 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 6.493 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 6.493 * * [simplify]: iters left: 6 (20 enodes) 6.502 * * [simplify]: iters left: 5 (81 enodes) 6.515 * * [simplify]: iters left: 4 (153 enodes) 6.549 * * [simplify]: iters left: 3 (441 enodes) 6.833 * * [simplify]: Extracting #0: cost 1 inf + 0 6.833 * * [simplify]: Extracting #1: cost 16 inf + 0 6.833 * * [simplify]: Extracting #2: cost 35 inf + 0 6.833 * * [simplify]: Extracting #3: cost 38 inf + 2 6.834 * * [simplify]: Extracting #4: cost 42 inf + 144 6.834 * * [simplify]: Extracting #5: cost 145 inf + 653 6.838 * * [simplify]: Extracting #6: cost 246 inf + 3631 6.854 * * [simplify]: Extracting #7: cost 70 inf + 39778 6.888 * * [simplify]: Extracting #8: cost 2 inf + 58947 6.927 * * [simplify]: Extracting #9: cost 0 inf + 59856 6.949 * * [simplify]: Extracting #10: cost 0 inf + 59855 6.967 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 6.967 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) 6.967 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 6.967 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 6.967 * * [simplify]: iters left: 6 (18 enodes) 6.972 * * [simplify]: iters left: 5 (75 enodes) 6.986 * * [simplify]: iters left: 4 (146 enodes) 7.051 * * [simplify]: iters left: 3 (432 enodes) 7.316 * * [simplify]: Extracting #0: cost 1 inf + 0 7.317 * * [simplify]: Extracting #1: cost 16 inf + 0 7.317 * * [simplify]: Extracting #2: cost 36 inf + 0 7.317 * * [simplify]: Extracting #3: cost 38 inf + 144 7.317 * * [simplify]: Extracting #4: cost 41 inf + 468 7.318 * * [simplify]: Extracting #5: cost 150 inf + 653 7.324 * * [simplify]: Extracting #6: cost 220 inf + 8356 7.343 * * [simplify]: Extracting #7: cost 49 inf + 44223 7.380 * * [simplify]: Extracting #8: cost 4 inf + 57371 7.415 * * [simplify]: Extracting #9: cost 0 inf + 59271 7.438 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 7.439 * [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))))) 7.439 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.439 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.439 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.439 * [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))) 7.439 * * [simplify]: iters left: 6 (25 enodes) 7.446 * * [simplify]: iters left: 5 (106 enodes) 7.477 * * [simplify]: iters left: 4 (290 enodes) 7.666 * * [simplify]: Extracting #0: cost 1 inf + 0 7.666 * * [simplify]: Extracting #1: cost 60 inf + 0 7.668 * * [simplify]: Extracting #2: cost 290 inf + 4 7.671 * * [simplify]: Extracting #3: cost 386 inf + 336 7.681 * * [simplify]: Extracting #4: cost 335 inf + 25383 7.721 * * [simplify]: Extracting #5: cost 110 inf + 100606 7.795 * * [simplify]: Extracting #6: cost 6 inf + 147667 7.845 * * [simplify]: Extracting #7: cost 0 inf + 150742 7.908 * [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))))))) 7.908 * [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))))))))) 7.908 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.909 * [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))) 7.909 * * [simplify]: iters left: 6 (22 enodes) 7.915 * * [simplify]: iters left: 5 (100 enodes) 7.937 * * [simplify]: iters left: 4 (294 enodes) 8.118 * * [simplify]: Extracting #0: cost 1 inf + 0 8.118 * * [simplify]: Extracting #1: cost 60 inf + 0 8.119 * * [simplify]: Extracting #2: cost 296 inf + 45 8.121 * * [simplify]: Extracting #3: cost 387 inf + 838 8.127 * * [simplify]: Extracting #4: cost 321 inf + 30714 8.159 * * [simplify]: Extracting #5: cost 92 inf + 107949 8.236 * * [simplify]: Extracting #6: cost 2 inf + 149823 8.285 * * [simplify]: Extracting #7: cost 0 inf + 150712 8.348 * [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)))) 8.348 * [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)))))) 8.348 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 8.348 * [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))) 8.349 * * [simplify]: iters left: 6 (23 enodes) 8.355 * * [simplify]: iters left: 5 (106 enodes) 8.375 * * [simplify]: iters left: 4 (272 enodes) 8.512 * * [simplify]: Extracting #0: cost 1 inf + 0 8.512 * * [simplify]: Extracting #1: cost 52 inf + 0 8.513 * * [simplify]: Extracting #2: cost 237 inf + 2 8.514 * * [simplify]: Extracting #3: cost 242 inf + 291 8.516 * * [simplify]: Extracting #4: cost 268 inf + 3688 8.524 * * [simplify]: Extracting #5: cost 226 inf + 37118 8.557 * * [simplify]: Extracting #6: cost 18 inf + 117250 8.620 * * [simplify]: Extracting #7: cost 0 inf + 126135 8.694 * * [simplify]: Extracting #8: cost 0 inf + 126134 8.767 * [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)))) 8.767 * [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)))))) 8.767 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 8.768 * [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))) 8.768 * * [simplify]: iters left: 6 (20 enodes) 8.780 * * [simplify]: iters left: 5 (100 enodes) 8.817 * * [simplify]: iters left: 4 (276 enodes) 8.945 * * [simplify]: Extracting #0: cost 1 inf + 0 8.946 * * [simplify]: Extracting #1: cost 53 inf + 0 8.947 * * [simplify]: Extracting #2: cost 239 inf + 43 8.949 * * [simplify]: Extracting #3: cost 239 inf + 415 8.952 * * [simplify]: Extracting #4: cost 270 inf + 3145 8.961 * * [simplify]: Extracting #5: cost 251 inf + 23178 8.979 * * [simplify]: Extracting #6: cost 106 inf + 68699 9.014 * * [simplify]: Extracting #7: cost 10 inf + 115190 9.064 * * [simplify]: Extracting #8: cost 0 inf + 120330 9.121 * [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)))))) 9.121 * [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)))))))) 9.121 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 9.121 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 9.121 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 9.121 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 9.122 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 9.122 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 9.122 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 9.122 * * [simplify]: iters left: 6 (13 enodes) 9.126 * * [simplify]: iters left: 5 (52 enodes) 9.136 * * [simplify]: iters left: 4 (105 enodes) 9.183 * * [simplify]: iters left: 3 (359 enodes) 9.399 * * [simplify]: Extracting #0: cost 1 inf + 0 9.399 * * [simplify]: Extracting #1: cost 3 inf + 0 9.399 * * [simplify]: Extracting #2: cost 6 inf + 0 9.399 * * [simplify]: Extracting #3: cost 118 inf + 1 9.400 * * [simplify]: Extracting #4: cost 235 inf + 336 9.402 * * [simplify]: Extracting #5: cost 193 inf + 4402 9.405 * * [simplify]: Extracting #6: cost 119 inf + 19348 9.424 * * [simplify]: Extracting #7: cost 7 inf + 46040 9.442 * * [simplify]: Extracting #8: cost 0 inf + 47488 9.457 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 9.457 * [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)))) 9.457 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 9.457 * [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)) 9.457 * * [simplify]: iters left: 6 (19 enodes) 9.466 * * [simplify]: iters left: 5 (85 enodes) 9.500 * * [simplify]: iters left: 4 (216 enodes) 9.603 * * [simplify]: Extracting #0: cost 1 inf + 0 9.603 * * [simplify]: Extracting #1: cost 16 inf + 0 9.603 * * [simplify]: Extracting #2: cost 27 inf + 44 9.604 * * [simplify]: Extracting #3: cost 32 inf + 86 9.604 * * [simplify]: Extracting #4: cost 125 inf + 89 9.605 * * [simplify]: Extracting #5: cost 329 inf + 858 9.610 * * [simplify]: Extracting #6: cost 272 inf + 29285 9.639 * * [simplify]: Extracting #7: cost 76 inf + 96357 9.693 * * [simplify]: Extracting #8: cost 1 inf + 124961 9.747 * * [simplify]: Extracting #9: cost 0 inf + 125265 9.778 * [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) 9.778 * [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)))))) 9.779 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 9.779 * [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)) 9.779 * * [simplify]: iters left: 6 (18 enodes) 9.790 * * [simplify]: iters left: 5 (77 enodes) 9.813 * * [simplify]: iters left: 4 (190 enodes) 9.930 * * [simplify]: Extracting #0: cost 1 inf + 0 9.930 * * [simplify]: Extracting #1: cost 16 inf + 0 9.931 * * [simplify]: Extracting #2: cost 28 inf + 2 9.931 * * [simplify]: Extracting #3: cost 35 inf + 86 9.931 * * [simplify]: Extracting #4: cost 122 inf + 90 9.933 * * [simplify]: Extracting #5: cost 296 inf + 1624 9.951 * * [simplify]: Extracting #6: cost 126 inf + 54777 9.988 * * [simplify]: Extracting #7: cost 1 inf + 93095 10.019 * * [simplify]: Extracting #8: cost 0 inf + 93560 10.039 * [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))) 10.039 * [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)))) 10.039 * * * * [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)))))> 10.039 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 10.039 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.040 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.040 * * [simplify]: iters left: 6 (9 enodes) 10.042 * * [simplify]: iters left: 5 (33 enodes) 10.047 * * [simplify]: iters left: 4 (51 enodes) 10.056 * * [simplify]: iters left: 3 (68 enodes) 10.066 * * [simplify]: iters left: 2 (73 enodes) 10.083 * * [simplify]: Extracting #0: cost 1 inf + 0 10.083 * * [simplify]: Extracting #1: cost 12 inf + 0 10.083 * * [simplify]: Extracting #2: cost 21 inf + 3 10.083 * * [simplify]: Extracting #3: cost 21 inf + 337 10.084 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.085 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.086 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.086 * [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))) 10.087 * [simplify]: Simplifying (+ 1 1) 10.087 * * [simplify]: iters left: 2 (2 enodes) 10.089 * * [simplify]: iters left: 1 (9 enodes) 10.092 * * [simplify]: Extracting #0: cost 1 inf + 0 10.092 * * [simplify]: Extracting #1: cost 0 inf + 1 10.092 * [simplify]: Simplified to 2 10.092 * [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))) 10.092 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.092 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 10.092 * * [simplify]: iters left: 6 (10 enodes) 10.095 * * [simplify]: iters left: 5 (40 enodes) 10.101 * * [simplify]: iters left: 4 (91 enodes) 10.129 * * [simplify]: iters left: 3 (345 enodes) 10.394 * * [simplify]: Extracting #0: cost 1 inf + 0 10.395 * * [simplify]: Extracting #1: cost 119 inf + 0 10.397 * * [simplify]: Extracting #2: cost 236 inf + 45 10.400 * * [simplify]: Extracting #3: cost 207 inf + 2474 10.415 * * [simplify]: Extracting #4: cost 104 inf + 22392 10.441 * * [simplify]: Extracting #5: cost 6 inf + 45410 10.470 * * [simplify]: Extracting #6: cost 0 inf + 46788 10.495 * * [simplify]: Extracting #7: cost 0 inf + 46787 10.509 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 10.509 * [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))) 10.509 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.509 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.509 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.509 * * [simplify]: iters left: 6 (9 enodes) 10.512 * * [simplify]: iters left: 5 (33 enodes) 10.518 * * [simplify]: iters left: 4 (51 enodes) 10.527 * * [simplify]: iters left: 3 (68 enodes) 10.543 * * [simplify]: iters left: 2 (73 enodes) 10.560 * * [simplify]: Extracting #0: cost 1 inf + 0 10.560 * * [simplify]: Extracting #1: cost 12 inf + 0 10.560 * * [simplify]: Extracting #2: cost 21 inf + 3 10.561 * * [simplify]: Extracting #3: cost 21 inf + 337 10.561 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.562 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.563 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.564 * [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))) 10.564 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.564 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.564 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 10.564 * * [simplify]: iters left: 6 (14 enodes) 10.571 * * [simplify]: iters left: 5 (54 enodes) 10.590 * * [simplify]: iters left: 4 (119 enodes) 10.651 * * [simplify]: iters left: 3 (457 enodes) 11.147 * * [simplify]: Extracting #0: cost 1 inf + 0 11.148 * * [simplify]: Extracting #1: cost 87 inf + 0 11.149 * * [simplify]: Extracting #2: cost 441 inf + 0 11.152 * * [simplify]: Extracting #3: cost 435 inf + 3488 11.161 * * [simplify]: Extracting #4: cost 350 inf + 25733 11.188 * * [simplify]: Extracting #5: cost 181 inf + 99937 11.233 * * [simplify]: Extracting #6: cost 13 inf + 179498 11.302 * * [simplify]: Extracting #7: cost 0 inf + 185853 11.362 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 11.362 * [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))) 11.362 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.363 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 11.363 * * [simplify]: iters left: 6 (18 enodes) 11.372 * * [simplify]: iters left: 5 (62 enodes) 11.392 * * [simplify]: iters left: 4 (132 enodes) 11.454 * * [simplify]: iters left: 3 (478 enodes) 11.930 * * [simplify]: Extracting #0: cost 1 inf + 0 11.930 * * [simplify]: Extracting #1: cost 82 inf + 0 11.932 * * [simplify]: Extracting #2: cost 445 inf + 0 11.934 * * [simplify]: Extracting #3: cost 428 inf + 6272 11.938 * * [simplify]: Extracting #4: cost 350 inf + 27083 11.961 * * [simplify]: Extracting #5: cost 195 inf + 92277 12.010 * * [simplify]: Extracting #6: cost 8 inf + 176798 12.062 * * [simplify]: Extracting #7: cost 0 inf + 179724 12.113 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 12.113 * [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))) 12.113 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 12.114 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.114 * * [simplify]: iters left: 6 (18 enodes) 12.123 * * [simplify]: iters left: 5 (75 enodes) 12.137 * * [simplify]: iters left: 4 (150 enodes) 12.180 * * [simplify]: iters left: 3 (441 enodes) 12.576 * * [simplify]: Extracting #0: cost 1 inf + 0 12.576 * * [simplify]: Extracting #1: cost 83 inf + 0 12.579 * * [simplify]: Extracting #2: cost 392 inf + 0 12.585 * * [simplify]: Extracting #3: cost 353 inf + 11476 12.593 * * [simplify]: Extracting #4: cost 305 inf + 24860 12.621 * * [simplify]: Extracting #5: cost 144 inf + 93825 12.685 * * [simplify]: Extracting #6: cost 4 inf + 152810 12.735 * * [simplify]: Extracting #7: cost 0 inf + 148235 12.775 * * [simplify]: Extracting #8: cost 0 inf + 147415 12.842 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.842 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 12.842 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 12.842 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 12.843 * * [simplify]: iters left: 6 (18 enodes) 12.852 * * [simplify]: iters left: 5 (73 enodes) 12.867 * * [simplify]: iters left: 4 (158 enodes) 12.905 * * [simplify]: iters left: 3 (401 enodes) 13.147 * * [simplify]: Extracting #0: cost 1 inf + 0 13.148 * * [simplify]: Extracting #1: cost 75 inf + 0 13.149 * * [simplify]: Extracting #2: cost 294 inf + 0 13.152 * * [simplify]: Extracting #3: cost 333 inf + 1095 13.156 * * [simplify]: Extracting #4: cost 297 inf + 8726 13.168 * * [simplify]: Extracting #5: cost 207 inf + 35649 13.207 * * [simplify]: Extracting #6: cost 32 inf + 113007 13.258 * * [simplify]: Extracting #7: cost 3 inf + 120686 13.288 * * [simplify]: Extracting #8: cost 0 inf + 119948 13.325 * * [simplify]: Extracting #9: cost 0 inf + 119908 13.372 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 13.372 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 13.373 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 13.373 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 13.373 * * [simplify]: iters left: 6 (18 enodes) 13.378 * * [simplify]: iters left: 5 (63 enodes) 13.387 * * [simplify]: iters left: 4 (128 enodes) 13.430 * * [simplify]: iters left: 3 (467 enodes) 14.297 * * [simplify]: Extracting #0: cost 1 inf + 0 14.297 * * [simplify]: Extracting #1: cost 87 inf + 0 14.300 * * [simplify]: Extracting #2: cost 459 inf + 0 14.305 * * [simplify]: Extracting #3: cost 444 inf + 6063 14.313 * * [simplify]: Extracting #4: cost 367 inf + 26781 14.329 * * [simplify]: Extracting #5: cost 208 inf + 91682 14.385 * * [simplify]: Extracting #6: cost 16 inf + 181307 14.445 * * [simplify]: Extracting #7: cost 0 inf + 189267 14.495 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 14.496 * [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))) 14.496 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 14.496 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 14.496 * * [simplify]: iters left: 6 (13 enodes) 14.500 * * [simplify]: iters left: 5 (52 enodes) 14.509 * * [simplify]: iters left: 4 (107 enodes) 14.547 * * [simplify]: iters left: 3 (365 enodes) 14.906 * * [simplify]: Extracting #0: cost 1 inf + 0 14.906 * * [simplify]: Extracting #1: cost 73 inf + 0 14.907 * * [simplify]: Extracting #2: cost 366 inf + 0 14.909 * * [simplify]: Extracting #3: cost 356 inf + 3306 14.913 * * [simplify]: Extracting #4: cost 311 inf + 14304 14.929 * * [simplify]: Extracting #5: cost 182 inf + 63744 14.983 * * [simplify]: Extracting #6: cost 3 inf + 143874 15.040 * * [simplify]: Extracting #7: cost 0 inf + 144974 15.077 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 15.077 * [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))) 15.077 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 15.078 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 15.078 * * [simplify]: iters left: 6 (16 enodes) 15.086 * * [simplify]: iters left: 5 (63 enodes) 15.107 * * [simplify]: iters left: 4 (135 enodes) 15.170 * * [simplify]: iters left: 3 (409 enodes) 15.510 * * [simplify]: Extracting #0: cost 1 inf + 0 15.510 * * [simplify]: Extracting #1: cost 70 inf + 0 15.511 * * [simplify]: Extracting #2: cost 384 inf + 0 15.514 * * [simplify]: Extracting #3: cost 371 inf + 5484 15.517 * * [simplify]: Extracting #4: cost 306 inf + 22123 15.527 * * [simplify]: Extracting #5: cost 174 inf + 73482 15.555 * * [simplify]: Extracting #6: cost 9 inf + 144143 15.599 * * [simplify]: Extracting #7: cost 0 inf + 144938 15.653 * * [simplify]: Extracting #8: cost 0 inf + 144748 15.691 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 15.691 * [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))) 15.691 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.691 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 15.692 * * [simplify]: iters left: 6 (16 enodes) 15.700 * * [simplify]: iters left: 5 (67 enodes) 15.724 * * [simplify]: iters left: 4 (136 enodes) 15.777 * * [simplify]: iters left: 3 (364 enodes) 16.007 * * [simplify]: Extracting #0: cost 1 inf + 0 16.008 * * [simplify]: Extracting #1: cost 62 inf + 0 16.008 * * [simplify]: Extracting #2: cost 325 inf + 0 16.010 * * [simplify]: Extracting #3: cost 344 inf + 4236 16.016 * * [simplify]: Extracting #4: cost 302 inf + 14346 16.026 * * [simplify]: Extracting #5: cost 171 inf + 62575 16.065 * * [simplify]: Extracting #6: cost 9 inf + 127185 16.092 * * [simplify]: Extracting #7: cost 0 inf + 124566 16.141 * * [simplify]: Extracting #8: cost 0 inf + 124346 16.189 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 16.189 * [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))) 16.189 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 16.189 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 16.190 * * [simplify]: iters left: 6 (18 enodes) 16.199 * * [simplify]: iters left: 5 (75 enodes) 16.212 * * [simplify]: iters left: 4 (153 enodes) 16.267 * * [simplify]: iters left: 3 (475 enodes) 16.707 * * [simplify]: Extracting #0: cost 1 inf + 0 16.708 * * [simplify]: Extracting #1: cost 84 inf + 0 16.711 * * [simplify]: Extracting #2: cost 434 inf + 0 16.716 * * [simplify]: Extracting #3: cost 400 inf + 11081 16.724 * * [simplify]: Extracting #4: cost 349 inf + 23822 16.749 * * [simplify]: Extracting #5: cost 211 inf + 78498 16.793 * * [simplify]: Extracting #6: cost 13 inf + 162504 16.839 * * [simplify]: Extracting #7: cost 0 inf + 165480 16.899 * * [simplify]: Extracting #8: cost 0 inf + 165120 16.935 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 16.936 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.936 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 16.936 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 16.936 * * [simplify]: iters left: 6 (16 enodes) 16.944 * * [simplify]: iters left: 5 (63 enodes) 16.965 * * [simplify]: iters left: 4 (131 enodes) 17.024 * * [simplify]: iters left: 3 (400 enodes) 17.403 * * [simplify]: Extracting #0: cost 1 inf + 0 17.404 * * [simplify]: Extracting #1: cost 73 inf + 0 17.406 * * [simplify]: Extracting #2: cost 360 inf + 0 17.410 * * [simplify]: Extracting #3: cost 368 inf + 1570 17.416 * * [simplify]: Extracting #4: cost 284 inf + 22316 17.434 * * [simplify]: Extracting #5: cost 181 inf + 60735 17.486 * * [simplify]: Extracting #6: cost 16 inf + 128257 17.548 * * [simplify]: Extracting #7: cost 0 inf + 132824 17.588 * * [simplify]: Extracting #8: cost 0 inf + 132754 17.631 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 17.631 * [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))) 17.632 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 17.633 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 17.633 * * [simplify]: iters left: 6 (12 enodes) 17.636 * * [simplify]: iters left: 5 (49 enodes) 17.644 * * [simplify]: iters left: 4 (96 enodes) 17.661 * * [simplify]: iters left: 3 (241 enodes) 17.806 * * [simplify]: Extracting #0: cost 1 inf + 0 17.806 * * [simplify]: Extracting #1: cost 49 inf + 0 17.808 * * [simplify]: Extracting #2: cost 251 inf + 0 17.810 * * [simplify]: Extracting #3: cost 249 inf + 1539 17.818 * * [simplify]: Extracting #4: cost 212 inf + 9334 17.822 * * [simplify]: Extracting #5: cost 194 inf + 13677 17.828 * * [simplify]: Extracting #6: cost 164 inf + 24866 17.851 * * [simplify]: Extracting #7: cost 45 inf + 75345 17.868 * * [simplify]: Extracting #8: cost 2 inf + 93245 17.889 * * [simplify]: Extracting #9: cost 0 inf + 93841 17.920 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.920 * [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))) 17.920 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 17.920 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 17.920 * * [simplify]: iters left: 6 (14 enodes) 17.924 * * [simplify]: iters left: 5 (54 enodes) 17.935 * * [simplify]: iters left: 4 (109 enodes) 17.961 * * [simplify]: iters left: 3 (265 enodes) 18.078 * * [simplify]: Extracting #0: cost 1 inf + 0 18.078 * * [simplify]: Extracting #1: cost 49 inf + 0 18.080 * * [simplify]: Extracting #2: cost 242 inf + 0 18.082 * * [simplify]: Extracting #3: cost 259 inf + 523 18.085 * * [simplify]: Extracting #4: cost 212 inf + 10345 18.092 * * [simplify]: Extracting #5: cost 159 inf + 24153 18.122 * * [simplify]: Extracting #6: cost 18 inf + 79713 18.141 * * [simplify]: Extracting #7: cost 0 inf + 86997 18.157 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.157 * [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))) 18.157 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 18.157 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 18.157 * * [simplify]: iters left: 6 (18 enodes) 18.163 * * [simplify]: iters left: 5 (73 enodes) 18.188 * * [simplify]: iters left: 4 (156 enodes) 18.251 * * [simplify]: iters left: 3 (366 enodes) 18.443 * * [simplify]: Extracting #0: cost 1 inf + 0 18.443 * * [simplify]: Extracting #1: cost 81 inf + 0 18.444 * * [simplify]: Extracting #2: cost 315 inf + 0 18.445 * * [simplify]: Extracting #3: cost 336 inf + 1721 18.448 * * [simplify]: Extracting #4: cost 282 inf + 12964 18.452 * * [simplify]: Extracting #5: cost 226 inf + 27763 18.469 * * [simplify]: Extracting #6: cost 44 inf + 102658 18.512 * * [simplify]: Extracting #7: cost 0 inf + 118994 18.558 * * [simplify]: Extracting #8: cost 0 inf + 118854 18.603 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.603 * [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))) 18.603 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 18.604 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 18.604 * * [simplify]: iters left: 6 (16 enodes) 18.611 * * [simplify]: iters left: 5 (67 enodes) 18.633 * * [simplify]: iters left: 4 (134 enodes) 18.685 * * [simplify]: iters left: 3 (341 enodes) 18.823 * * [simplify]: Extracting #0: cost 1 inf + 0 18.823 * * [simplify]: Extracting #1: cost 69 inf + 0 18.826 * * [simplify]: Extracting #2: cost 344 inf + 0 18.829 * * [simplify]: Extracting #3: cost 365 inf + 1843 18.835 * * [simplify]: Extracting #4: cost 320 inf + 11850 18.853 * * [simplify]: Extracting #5: cost 166 inf + 66434 18.900 * * [simplify]: Extracting #6: cost 7 inf + 128209 18.928 * * [simplify]: Extracting #7: cost 0 inf + 129716 18.953 * * [simplify]: Extracting #8: cost 0 inf + 129576 18.986 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.987 * [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))) 18.987 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 18.987 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 18.987 * * [simplify]: iters left: 6 (14 enodes) 18.994 * * [simplify]: iters left: 5 (54 enodes) 19.016 * * [simplify]: iters left: 4 (106 enodes) 19.052 * * [simplify]: iters left: 3 (231 enodes) 19.137 * * [simplify]: Extracting #0: cost 1 inf + 0 19.137 * * [simplify]: Extracting #1: cost 64 inf + 0 19.138 * * [simplify]: Extracting #2: cost 246 inf + 0 19.140 * * [simplify]: Extracting #3: cost 259 inf + 560 19.143 * * [simplify]: Extracting #4: cost 218 inf + 8763 19.150 * * [simplify]: Extracting #5: cost 148 inf + 29077 19.167 * * [simplify]: Extracting #6: cost 27 inf + 76331 19.182 * * [simplify]: Extracting #7: cost 0 inf + 87431 19.203 * * [simplify]: Extracting #8: cost 0 inf + 87391 19.228 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.228 * [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))) 19.229 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 19.229 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 19.229 * * [simplify]: iters left: 6 (11 enodes) 19.232 * * [simplify]: iters left: 5 (42 enodes) 19.241 * * [simplify]: iters left: 4 (79 enodes) 19.254 * * [simplify]: iters left: 3 (176 enodes) 19.290 * * [simplify]: iters left: 2 (491 enodes) 19.620 * * [simplify]: Extracting #0: cost 1 inf + 0 19.620 * * [simplify]: Extracting #1: cost 79 inf + 0 19.622 * * [simplify]: Extracting #2: cost 424 inf + 0 19.624 * * [simplify]: Extracting #3: cost 434 inf + 1374 19.629 * * [simplify]: Extracting #4: cost 365 inf + 15165 19.646 * * [simplify]: Extracting #5: cost 222 inf + 60738 19.676 * * [simplify]: Extracting #6: cost 20 inf + 142135 19.739 * * [simplify]: Extracting #7: cost 0 inf + 147485 19.799 * * [simplify]: Extracting #8: cost 0 inf + 147405 19.863 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.863 * [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))) 19.863 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 19.863 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 19.863 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 19.864 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 19.864 * * [simplify]: iters left: 6 (18 enodes) 19.870 * * [simplify]: iters left: 5 (81 enodes) 19.889 * * [simplify]: iters left: 4 (297 enodes) 20.505 * * [simplify]: Extracting #0: cost 1 inf + 0 20.506 * * [simplify]: Extracting #1: cost 317 inf + 0 20.522 * * [simplify]: Extracting #2: cost 1360 inf + 1186 20.540 * * [simplify]: Extracting #3: cost 1159 inf + 28787 20.561 * * [simplify]: Extracting #4: cost 1067 inf + 46078 20.583 * * [simplify]: Extracting #5: cost 1058 inf + 48222 20.646 * * [simplify]: Extracting #6: cost 700 inf + 217292 20.823 * * [simplify]: Extracting #7: cost 50 inf + 478678 21.002 * * [simplify]: Extracting #8: cost 0 inf + 450895 21.159 * * [simplify]: Extracting #9: cost 0 inf + 450215 21.310 * [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))))))) 21.310 * [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))) 21.310 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 21.310 * [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))))) 21.311 * * [simplify]: iters left: 6 (23 enodes) 21.320 * * [simplify]: iters left: 5 (116 enodes) 21.358 * * [simplify]: iters left: 4 (394 enodes) 22.505 * * [simplify]: Extracting #0: cost 1 inf + 0 22.505 * * [simplify]: Extracting #1: cost 305 inf + 0 22.512 * * [simplify]: Extracting #2: cost 1687 inf + 1266 22.522 * * [simplify]: Extracting #3: cost 1524 inf + 28963 22.534 * * [simplify]: Extracting #4: cost 1425 inf + 42935 22.573 * * [simplify]: Extracting #5: cost 1007 inf + 187192 22.760 * * [simplify]: Extracting #6: cost 91 inf + 536933 22.966 * * [simplify]: Extracting #7: cost 0 inf + 555816 23.177 * * [simplify]: Extracting #8: cost 0 inf + 555016 23.449 * [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)))))) 23.449 * [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))) 23.449 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 23.450 * [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))))) 23.450 * * [simplify]: iters left: 6 (23 enodes) 23.464 * * [simplify]: iters left: 5 (117 enodes) 23.528 * * [simplify]: Extracting #0: cost 1 inf + 0 23.529 * * [simplify]: Extracting #1: cost 57 inf + 0 23.529 * * [simplify]: Extracting #2: cost 198 inf + 1 23.531 * * [simplify]: Extracting #3: cost 196 inf + 1963 23.533 * * [simplify]: Extracting #4: cost 175 inf + 4048 23.538 * * [simplify]: Extracting #5: cost 138 inf + 14158 23.548 * * [simplify]: Extracting #6: cost 38 inf + 45666 23.560 * * [simplify]: Extracting #7: cost 0 inf + 59703 23.572 * * [simplify]: Extracting #8: cost 0 inf + 58861 23.590 * [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))))) 23.590 * [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))) 23.591 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 23.591 * [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))))) 23.591 * * [simplify]: iters left: 6 (23 enodes) 23.604 * * [simplify]: iters left: 5 (110 enodes) 23.653 * * [simplify]: iters left: 4 (408 enodes) 24.358 * * [simplify]: Extracting #0: cost 1 inf + 0 24.359 * * [simplify]: Extracting #1: cost 349 inf + 0 24.363 * * [simplify]: Extracting #2: cost 1362 inf + 253 24.370 * * [simplify]: Extracting #3: cost 1372 inf + 8215 24.378 * * [simplify]: Extracting #4: cost 1293 inf + 19441 24.419 * * [simplify]: Extracting #5: cost 942 inf + 149702 24.586 * * [simplify]: Extracting #6: cost 118 inf + 513336 24.743 * * [simplify]: Extracting #7: cost 0 inf + 530464 24.933 * * [simplify]: Extracting #8: cost 0 inf + 526424 25.147 * * [simplify]: Extracting #9: cost 0 inf + 526264 25.366 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 25.367 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 25.367 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 25.367 * [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))))) 25.368 * * [simplify]: iters left: 6 (23 enodes) 25.379 * * [simplify]: iters left: 5 (116 enodes) 25.425 * * [simplify]: iters left: 4 (400 enodes) 26.587 * * [simplify]: Extracting #0: cost 1 inf + 0 26.588 * * [simplify]: Extracting #1: cost 338 inf + 0 26.597 * * [simplify]: Extracting #2: cost 1775 inf + 1305 26.626 * * [simplify]: Extracting #3: cost 1631 inf + 26639 26.651 * * [simplify]: Extracting #4: cost 1492 inf + 45349 26.702 * * [simplify]: Extracting #5: cost 991 inf + 264110 26.905 * * [simplify]: Extracting #6: cost 19 inf + 641565 27.172 * * [simplify]: Extracting #7: cost 0 inf + 581792 27.382 * * [simplify]: Extracting #8: cost 0 inf + 581352 27.598 * [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))) 27.598 * [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))) 27.598 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 27.599 * [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))))) 27.599 * * [simplify]: iters left: 6 (16 enodes) 27.607 * * [simplify]: iters left: 5 (79 enodes) 27.646 * * [simplify]: iters left: 4 (300 enodes) 28.146 * * [simplify]: Extracting #0: cost 1 inf + 0 28.147 * * [simplify]: Extracting #1: cost 276 inf + 0 28.161 * * [simplify]: Extracting #2: cost 1222 inf + 1113 28.175 * * [simplify]: Extracting #3: cost 1095 inf + 16811 28.189 * * [simplify]: Extracting #4: cost 1061 inf + 20800 28.246 * * [simplify]: Extracting #5: cost 657 inf + 183765 28.375 * * [simplify]: Extracting #6: cost 22 inf + 410882 28.545 * * [simplify]: Extracting #7: cost 0 inf + 405405 28.743 * * [simplify]: Extracting #8: cost 0 inf + 405114 28.871 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 28.871 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 28.872 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 28.872 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 28.872 * * [simplify]: iters left: 6 (20 enodes) 28.886 * * [simplify]: iters left: 5 (110 enodes) 28.941 * * [simplify]: iters left: 4 (486 enodes) 29.871 * * [simplify]: Extracting #0: cost 1 inf + 0 29.872 * * [simplify]: Extracting #1: cost 357 inf + 0 29.883 * * [simplify]: Extracting #2: cost 1671 inf + 4 29.899 * * [simplify]: Extracting #3: cost 1668 inf + 6826 29.918 * * [simplify]: Extracting #4: cost 1547 inf + 21334 29.954 * * [simplify]: Extracting #5: cost 1187 inf + 145252 30.143 * * [simplify]: Extracting #6: cost 120 inf + 563013 30.356 * * [simplify]: Extracting #7: cost 0 inf + 585634 30.624 * * [simplify]: Extracting #8: cost 0 inf + 584467 30.819 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 30.819 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 30.819 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 30.820 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 30.820 * * [simplify]: iters left: 6 (20 enodes) 30.826 * * [simplify]: iters left: 5 (104 enodes) 30.859 * * [simplify]: iters left: 4 (410 enodes) 31.507 * * [simplify]: Extracting #0: cost 1 inf + 0 31.508 * * [simplify]: Extracting #1: cost 320 inf + 0 31.512 * * [simplify]: Extracting #2: cost 1273 inf + 422 31.517 * * [simplify]: Extracting #3: cost 1300 inf + 5654 31.524 * * [simplify]: Extracting #4: cost 1233 inf + 13684 31.564 * * [simplify]: Extracting #5: cost 817 inf + 180631 31.694 * * [simplify]: Extracting #6: cost 86 inf + 457006 31.890 * * [simplify]: Extracting #7: cost 0 inf + 479132 32.022 * * [simplify]: Extracting #8: cost 0 inf + 478812 32.189 * [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))))) 32.189 * [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))) 32.189 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 32.189 * [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))))) 32.190 * * [simplify]: iters left: 6 (23 enodes) 32.205 * * [simplify]: iters left: 5 (117 enodes) 32.263 * * [simplify]: Extracting #0: cost 1 inf + 0 32.263 * * [simplify]: Extracting #1: cost 57 inf + 0 32.264 * * [simplify]: Extracting #2: cost 198 inf + 1 32.266 * * [simplify]: Extracting #3: cost 195 inf + 2086 32.268 * * [simplify]: Extracting #4: cost 174 inf + 4290 32.277 * * [simplify]: Extracting #5: cost 116 inf + 19820 32.299 * * [simplify]: Extracting #6: cost 12 inf + 57316 32.323 * * [simplify]: Extracting #7: cost 0 inf + 58322 32.341 * [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))) 32.341 * [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))) 32.342 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 32.342 * [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))))) 32.342 * * [simplify]: iters left: 6 (20 enodes) 32.349 * * [simplify]: iters left: 5 (110 enodes) 32.391 * * [simplify]: iters left: 4 (486 enodes) 33.388 * * [simplify]: Extracting #0: cost 1 inf + 0 33.389 * * [simplify]: Extracting #1: cost 354 inf + 0 33.394 * * [simplify]: Extracting #2: cost 1732 inf + 947 33.404 * * [simplify]: Extracting #3: cost 1677 inf + 14777 33.421 * * [simplify]: Extracting #4: cost 1558 inf + 34201 33.551 * * [simplify]: Extracting #5: cost 538 inf + 431020 33.774 * * [simplify]: Extracting #6: cost 7 inf + 614791 34.029 * * [simplify]: Extracting #7: cost 0 inf + 600444 34.233 * * [simplify]: Extracting #8: cost 0 inf + 599228 34.427 * * [simplify]: Extracting #9: cost 0 inf + 599108 34.646 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 34.646 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J))) 34.647 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 34.647 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 34.647 * * [simplify]: iters left: 6 (14 enodes) 34.651 * * [simplify]: iters left: 5 (69 enodes) 34.677 * * [simplify]: iters left: 4 (284 enodes) 35.132 * * [simplify]: Extracting #0: cost 1 inf + 0 35.133 * * [simplify]: Extracting #1: cost 264 inf + 0 35.140 * * [simplify]: Extracting #2: cost 1048 inf + 621 35.150 * * [simplify]: Extracting #3: cost 1004 inf + 7706 35.161 * * [simplify]: Extracting #4: cost 992 inf + 8857 35.194 * * [simplify]: Extracting #5: cost 693 inf + 102376 35.282 * * [simplify]: Extracting #6: cost 68 inf + 348361 35.425 * * [simplify]: Extracting #7: cost 0 inf + 362304 35.548 * * [simplify]: Extracting #8: cost 0 inf + 360357 35.671 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 35.671 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 35.672 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 35.672 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 35.672 * * [simplify]: iters left: 6 (17 enodes) 35.678 * * [simplify]: iters left: 5 (87 enodes) 35.717 * * [simplify]: iters left: 4 (347 enodes) 36.804 * * [simplify]: Extracting #0: cost 1 inf + 0 36.805 * * [simplify]: Extracting #1: cost 232 inf + 0 36.820 * * [simplify]: Extracting #2: cost 1150 inf + 375 36.829 * * [simplify]: Extracting #3: cost 1098 inf + 7458 36.835 * * [simplify]: Extracting #4: cost 1069 inf + 11014 36.859 * * [simplify]: Extracting #5: cost 711 inf + 123503 36.983 * * [simplify]: Extracting #6: cost 36 inf + 371223 37.145 * * [simplify]: Extracting #7: cost 0 inf + 378721 37.316 * * [simplify]: Extracting #8: cost 0 inf + 378639 37.440 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 37.440 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 37.440 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 37.441 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 37.441 * * [simplify]: iters left: 6 (23 enodes) 37.449 * * [simplify]: iters left: 5 (110 enodes) 37.486 * * [simplify]: iters left: 4 (410 enodes) 38.085 * * [simplify]: Extracting #0: cost 1 inf + 0 38.086 * * [simplify]: Extracting #1: cost 359 inf + 0 38.090 * * [simplify]: Extracting #2: cost 1287 inf + 419 38.096 * * [simplify]: Extracting #3: cost 1261 inf + 9929 38.107 * * [simplify]: Extracting #4: cost 1180 inf + 21019 38.149 * * [simplify]: Extracting #5: cost 735 inf + 199153 38.293 * * [simplify]: Extracting #6: cost 8 inf + 499942 38.496 * * [simplify]: Extracting #7: cost 0 inf + 474987 38.723 * * [simplify]: Extracting #8: cost 0 inf + 473616 38.901 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 38.901 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 38.902 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 38.902 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 38.902 * * [simplify]: iters left: 6 (20 enodes) 38.909 * * [simplify]: iters left: 5 (104 enodes) 38.963 * * [simplify]: iters left: 4 (410 enodes) 39.508 * * [simplify]: Extracting #0: cost 1 inf + 0 39.509 * * [simplify]: Extracting #1: cost 333 inf + 0 39.517 * * [simplify]: Extracting #2: cost 1241 inf + 215 39.529 * * [simplify]: Extracting #3: cost 1232 inf + 5451 39.551 * * [simplify]: Extracting #4: cost 1158 inf + 14257 39.615 * * [simplify]: Extracting #5: cost 643 inf + 213569 39.756 * * [simplify]: Extracting #6: cost 28 inf + 452599 39.928 * * [simplify]: Extracting #7: cost 0 inf + 451462 40.116 * * [simplify]: Extracting #8: cost 0 inf + 451384 40.287 * [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))) 40.287 * [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))) 40.287 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 40.288 * [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))))) 40.288 * * [simplify]: iters left: 6 (17 enodes) 40.298 * * [simplify]: iters left: 5 (87 enodes) 40.327 * * [simplify]: iters left: 4 (343 enodes) 40.929 * * [simplify]: Extracting #0: cost 1 inf + 0 40.930 * * [simplify]: Extracting #1: cost 233 inf + 0 40.933 * * [simplify]: Extracting #2: cost 1034 inf + 459 40.939 * * [simplify]: Extracting #3: cost 981 inf + 8158 40.945 * * [simplify]: Extracting #4: cost 963 inf + 10234 40.968 * * [simplify]: Extracting #5: cost 665 inf + 100602 41.100 * * [simplify]: Extracting #6: cost 35 inf + 335827 41.238 * * [simplify]: Extracting #7: cost 0 inf + 343092 41.391 * * [simplify]: Extracting #8: cost 0 inf + 342649 41.519 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 41.519 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 41.520 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 41.520 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 41.520 * * [simplify]: iters left: 6 (12 enodes) 41.527 * * [simplify]: iters left: 5 (55 enodes) 41.553 * * [simplify]: iters left: 4 (179 enodes) 41.755 * * [simplify]: Extracting #0: cost 1 inf + 0 41.756 * * [simplify]: Extracting #1: cost 111 inf + 0 41.758 * * [simplify]: Extracting #2: cost 476 inf + 4 41.763 * * [simplify]: Extracting #3: cost 509 inf + 1174 41.786 * * [simplify]: Extracting #4: cost 279 inf + 68658 41.856 * * [simplify]: Extracting #5: cost 18 inf + 157912 41.941 * * [simplify]: Extracting #6: cost 0 inf + 164075 42.022 * * [simplify]: Extracting #7: cost 0 inf + 164036 42.104 * [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)))) 42.104 * [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))) 42.104 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 42.105 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 42.105 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 42.105 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 42.105 * [simplify]: Simplifying (* U U) 42.105 * * [simplify]: iters left: 2 (2 enodes) 42.106 * * [simplify]: iters left: 1 (6 enodes) 42.108 * * [simplify]: Extracting #0: cost 1 inf + 0 42.108 * * [simplify]: Extracting #1: cost 3 inf + 0 42.108 * * [simplify]: Extracting #2: cost 2 inf + 1 42.108 * * [simplify]: Extracting #3: cost 0 inf + 83 42.108 * [simplify]: Simplified to (* U U) 42.108 * [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))) 42.108 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 42.109 * * [simplify]: iters left: 6 (8 enodes) 42.113 * * [simplify]: iters left: 5 (36 enodes) 42.121 * * [simplify]: iters left: 4 (87 enodes) 42.140 * * [simplify]: iters left: 3 (207 enodes) 42.198 * * [simplify]: iters left: 2 (331 enodes) 42.289 * * [simplify]: iters left: 1 (343 enodes) 42.402 * * [simplify]: Extracting #0: cost 1 inf + 0 42.402 * * [simplify]: Extracting #1: cost 27 inf + 0 42.402 * * [simplify]: Extracting #2: cost 45 inf + 126 42.403 * * [simplify]: Extracting #3: cost 41 inf + 497 42.403 * * [simplify]: Extracting #4: cost 38 inf + 582 42.405 * * [simplify]: Extracting #5: cost 14 inf + 4770 42.407 * * [simplify]: Extracting #6: cost 0 inf + 7288 42.409 * * [simplify]: Extracting #7: cost 0 inf + 7248 42.411 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 42.411 * [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))) 42.411 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 42.411 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 42.412 * [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)))))) 42.412 * * [simplify]: iters left: 6 (12 enodes) 42.415 * * [simplify]: iters left: 5 (46 enodes) 42.422 * * [simplify]: iters left: 4 (68 enodes) 42.434 * * [simplify]: iters left: 3 (95 enodes) 42.451 * * [simplify]: iters left: 2 (144 enodes) 42.493 * * [simplify]: iters left: 1 (288 enodes) 42.557 * * [simplify]: Extracting #0: cost 1 inf + 0 42.557 * * [simplify]: Extracting #1: cost 71 inf + 0 42.558 * * [simplify]: Extracting #2: cost 140 inf + 46 42.558 * * [simplify]: Extracting #3: cost 128 inf + 636 42.559 * * [simplify]: Extracting #4: cost 111 inf + 2561 42.560 * * [simplify]: Extracting #5: cost 99 inf + 4759 42.568 * * [simplify]: Extracting #6: cost 26 inf + 35874 42.585 * * [simplify]: Extracting #7: cost 0 inf + 49849 42.608 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 42.608 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.608 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.609 * * [simplify]: iters left: 6 (11 enodes) 42.614 * * [simplify]: iters left: 5 (39 enodes) 42.626 * * [simplify]: iters left: 4 (57 enodes) 42.643 * * [simplify]: iters left: 3 (74 enodes) 42.662 * * [simplify]: iters left: 2 (79 enodes) 42.680 * * [simplify]: Extracting #0: cost 1 inf + 0 42.680 * * [simplify]: Extracting #1: cost 3 inf + 0 42.680 * * [simplify]: Extracting #2: cost 5 inf + 0 42.681 * * [simplify]: Extracting #3: cost 16 inf + 0 42.681 * * [simplify]: Extracting #4: cost 25 inf + 3 42.681 * * [simplify]: Extracting #5: cost 28 inf + 129 42.681 * * [simplify]: Extracting #6: cost 13 inf + 1889 42.683 * * [simplify]: Extracting #7: cost 3 inf + 3901 42.684 * * [simplify]: Extracting #8: cost 0 inf + 4410 42.686 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 42.686 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.686 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 42.686 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.687 * * [simplify]: iters left: 6 (11 enodes) 42.692 * * [simplify]: iters left: 5 (37 enodes) 42.699 * * [simplify]: iters left: 4 (56 enodes) 42.707 * * [simplify]: iters left: 3 (73 enodes) 42.716 * * [simplify]: iters left: 2 (78 enodes) 42.728 * * [simplify]: Extracting #0: cost 1 inf + 0 42.728 * * [simplify]: Extracting #1: cost 13 inf + 0 42.728 * * [simplify]: Extracting #2: cost 23 inf + 3 42.728 * * [simplify]: Extracting #3: cost 26 inf + 129 42.729 * * [simplify]: Extracting #4: cost 16 inf + 851 42.730 * * [simplify]: Extracting #5: cost 3 inf + 3053 42.731 * * [simplify]: Extracting #6: cost 0 inf + 3642 42.733 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 42.733 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.733 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.733 * * [simplify]: iters left: 6 (11 enodes) 42.739 * * [simplify]: iters left: 5 (37 enodes) 42.750 * * [simplify]: iters left: 4 (56 enodes) 42.766 * * [simplify]: iters left: 3 (73 enodes) 42.783 * * [simplify]: iters left: 2 (78 enodes) 42.801 * * [simplify]: Extracting #0: cost 1 inf + 0 42.801 * * [simplify]: Extracting #1: cost 13 inf + 0 42.801 * * [simplify]: Extracting #2: cost 23 inf + 3 42.801 * * [simplify]: Extracting #3: cost 26 inf + 129 42.802 * * [simplify]: Extracting #4: cost 16 inf + 851 42.803 * * [simplify]: Extracting #5: cost 3 inf + 3053 42.804 * * [simplify]: Extracting #6: cost 0 inf + 3642 42.806 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 42.806 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 42.806 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 42.806 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 42.806 * * [simplify]: iters left: 6 (6 enodes) 42.810 * * [simplify]: iters left: 5 (24 enodes) 42.818 * * [simplify]: iters left: 4 (46 enodes) 42.835 * * [simplify]: iters left: 3 (94 enodes) 42.853 * * [simplify]: iters left: 2 (156 enodes) 42.894 * * [simplify]: iters left: 1 (177 enodes) 42.951 * * [simplify]: Extracting #0: cost 1 inf + 0 42.951 * * [simplify]: Extracting #1: cost 29 inf + 0 42.952 * * [simplify]: Extracting #2: cost 44 inf + 452 42.954 * * [simplify]: Extracting #3: cost 11 inf + 5196 42.956 * * [simplify]: Extracting #4: cost 0 inf + 6946 42.957 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 42.957 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.958 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 42.958 * * [simplify]: iters left: 6 (10 enodes) 42.960 * * [simplify]: iters left: 5 (37 enodes) 42.967 * * [simplify]: iters left: 4 (67 enodes) 42.979 * * [simplify]: iters left: 3 (153 enodes) 43.032 * * [simplify]: iters left: 2 (259 enodes) 43.108 * * [simplify]: iters left: 1 (355 enodes) 43.240 * * [simplify]: Extracting #0: cost 1 inf + 0 43.240 * * [simplify]: Extracting #1: cost 36 inf + 0 43.241 * * [simplify]: Extracting #2: cost 69 inf + 1 43.242 * * [simplify]: Extracting #3: cost 67 inf + 287 43.242 * * [simplify]: Extracting #4: cost 53 inf + 1870 43.244 * * [simplify]: Extracting #5: cost 34 inf + 5949 43.251 * * [simplify]: Extracting #6: cost 5 inf + 13388 43.258 * * [simplify]: Extracting #7: cost 0 inf + 14706 43.267 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 43.267 * [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))) 43.267 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 43.268 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 43.268 * * [simplify]: iters left: 5 (5 enodes) 43.271 * * [simplify]: iters left: 4 (19 enodes) 43.278 * * [simplify]: iters left: 3 (27 enodes) 43.286 * * [simplify]: iters left: 2 (34 enodes) 43.296 * * [simplify]: iters left: 1 (43 enodes) 43.308 * * [simplify]: Extracting #0: cost 1 inf + 0 43.308 * * [simplify]: Extracting #1: cost 11 inf + 0 43.308 * * [simplify]: Extracting #2: cost 14 inf + 3 43.308 * * [simplify]: Extracting #3: cost 5 inf + 539 43.309 * * [simplify]: Extracting #4: cost 1 inf + 827 43.309 * * [simplify]: Extracting #5: cost 0 inf + 909 43.310 * [simplify]: Simplified to (/ U 4) 43.310 * [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))) 43.310 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 43.310 * * [simplify]: iters left: 6 (10 enodes) 43.315 * * [simplify]: iters left: 5 (37 enodes) 43.326 * * [simplify]: iters left: 4 (67 enodes) 43.337 * * [simplify]: iters left: 3 (146 enodes) 43.370 * * [simplify]: iters left: 2 (243 enodes) 43.464 * * [simplify]: iters left: 1 (344 enodes) 43.572 * * [simplify]: Extracting #0: cost 1 inf + 0 43.572 * * [simplify]: Extracting #1: cost 35 inf + 0 43.572 * * [simplify]: Extracting #2: cost 62 inf + 166 43.574 * * [simplify]: Extracting #3: cost 53 inf + 1108 43.576 * * [simplify]: Extracting #4: cost 32 inf + 4488 43.583 * * [simplify]: Extracting #5: cost 2 inf + 10914 43.590 * * [simplify]: Extracting #6: cost 0 inf + 11240 43.594 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 43.594 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.594 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 43.594 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 43.594 * * [simplify]: iters left: 4 (4 enodes) 43.598 * * [simplify]: iters left: 3 (20 enodes) 43.601 * * [simplify]: iters left: 2 (22 enodes) 43.604 * * [simplify]: Extracting #0: cost 1 inf + 0 43.604 * * [simplify]: Extracting #1: cost 0 inf + 1 43.604 * [simplify]: Simplified to 1/4 43.604 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.604 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 43.604 * * [simplify]: iters left: 6 (9 enodes) 43.607 * * [simplify]: iters left: 5 (34 enodes) 43.613 * * [simplify]: iters left: 4 (64 enodes) 43.624 * * [simplify]: iters left: 3 (148 enodes) 43.669 * * [simplify]: iters left: 2 (254 enodes) 43.754 * * [simplify]: iters left: 1 (351 enodes) 43.850 * * [simplify]: Extracting #0: cost 1 inf + 0 43.850 * * [simplify]: Extracting #1: cost 36 inf + 0 43.850 * * [simplify]: Extracting #2: cost 65 inf + 43 43.851 * * [simplify]: Extracting #3: cost 56 inf + 905 43.853 * * [simplify]: Extracting #4: cost 51 inf + 992 43.855 * * [simplify]: Extracting #5: cost 34 inf + 3846 43.861 * * [simplify]: Extracting #6: cost 1 inf + 10281 43.868 * * [simplify]: Extracting #7: cost 0 inf + 10464 43.874 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 43.874 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.875 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 43.875 * [simplify]: Simplifying (* 1 1) 43.875 * * [simplify]: iters left: 2 (2 enodes) 43.877 * * [simplify]: iters left: 1 (6 enodes) 43.879 * * [simplify]: Extracting #0: cost 1 inf + 0 43.879 * * [simplify]: Extracting #1: cost 0 inf + 1 43.879 * [simplify]: Simplified to 1 43.879 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 43.879 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 43.879 * * [simplify]: iters left: 6 (10 enodes) 43.884 * * [simplify]: iters left: 5 (40 enodes) 43.898 * * [simplify]: iters left: 4 (91 enodes) 43.944 * * [simplify]: iters left: 3 (345 enodes) 44.204 * * [simplify]: Extracting #0: cost 1 inf + 0 44.205 * * [simplify]: Extracting #1: cost 119 inf + 0 44.206 * * [simplify]: Extracting #2: cost 236 inf + 45 44.207 * * [simplify]: Extracting #3: cost 207 inf + 2474 44.212 * * [simplify]: Extracting #4: cost 104 inf + 22392 44.232 * * [simplify]: Extracting #5: cost 6 inf + 45410 44.254 * * [simplify]: Extracting #6: cost 0 inf + 46788 44.268 * * [simplify]: Extracting #7: cost 0 inf + 46787 44.282 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 44.282 * [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))) 44.282 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 44.282 * [simplify]: Simplifying (* U U) 44.282 * * [simplify]: iters left: 2 (2 enodes) 44.283 * * [simplify]: iters left: 1 (6 enodes) 44.284 * * [simplify]: Extracting #0: cost 1 inf + 0 44.284 * * [simplify]: Extracting #1: cost 3 inf + 0 44.284 * * [simplify]: Extracting #2: cost 2 inf + 1 44.284 * * [simplify]: Extracting #3: cost 0 inf + 83 44.284 * [simplify]: Simplified to (* U U) 44.284 * [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))) 44.284 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 44.284 * * [simplify]: iters left: 6 (10 enodes) 44.287 * * [simplify]: iters left: 5 (43 enodes) 44.297 * * [simplify]: iters left: 4 (82 enodes) 44.316 * * [simplify]: iters left: 3 (271 enodes) 44.501 * * [simplify]: Extracting #0: cost 1 inf + 0 44.501 * * [simplify]: Extracting #1: cost 72 inf + 0 44.502 * * [simplify]: Extracting #2: cost 165 inf + 90 44.503 * * [simplify]: Extracting #3: cost 151 inf + 1785 44.505 * * [simplify]: Extracting #4: cost 98 inf + 11781 44.513 * * [simplify]: Extracting #5: cost 3 inf + 32308 44.523 * * [simplify]: Extracting #6: cost 0 inf + 32858 44.533 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 44.533 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.533 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 44.533 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.533 * * [simplify]: iters left: 6 (11 enodes) 44.536 * * [simplify]: iters left: 5 (37 enodes) 44.547 * * [simplify]: iters left: 4 (56 enodes) 44.563 * * [simplify]: iters left: 3 (73 enodes) 44.584 * * [simplify]: iters left: 2 (78 enodes) 44.603 * * [simplify]: Extracting #0: cost 1 inf + 0 44.603 * * [simplify]: Extracting #1: cost 13 inf + 0 44.603 * * [simplify]: Extracting #2: cost 23 inf + 3 44.603 * * [simplify]: Extracting #3: cost 26 inf + 129 44.604 * * [simplify]: Extracting #4: cost 16 inf + 851 44.605 * * [simplify]: Extracting #5: cost 3 inf + 3053 44.606 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.607 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 44.607 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 44.608 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.608 * * [simplify]: iters left: 6 (11 enodes) 44.613 * * [simplify]: iters left: 5 (37 enodes) 44.624 * * [simplify]: iters left: 4 (56 enodes) 44.638 * * [simplify]: iters left: 3 (73 enodes) 44.647 * * [simplify]: iters left: 2 (78 enodes) 44.655 * * [simplify]: Extracting #0: cost 1 inf + 0 44.656 * * [simplify]: Extracting #1: cost 13 inf + 0 44.656 * * [simplify]: Extracting #2: cost 23 inf + 3 44.656 * * [simplify]: Extracting #3: cost 26 inf + 129 44.656 * * [simplify]: Extracting #4: cost 16 inf + 851 44.656 * * [simplify]: Extracting #5: cost 3 inf + 3053 44.657 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.658 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 44.658 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 44.658 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 44.658 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 44.658 * * [simplify]: iters left: 6 (9 enodes) 44.660 * * [simplify]: iters left: 5 (33 enodes) 44.665 * * [simplify]: iters left: 4 (51 enodes) 44.672 * * [simplify]: iters left: 3 (68 enodes) 44.681 * * [simplify]: iters left: 2 (73 enodes) 44.691 * * [simplify]: Extracting #0: cost 1 inf + 0 44.691 * * [simplify]: Extracting #1: cost 12 inf + 0 44.691 * * [simplify]: Extracting #2: cost 21 inf + 3 44.691 * * [simplify]: Extracting #3: cost 21 inf + 337 44.691 * * [simplify]: Extracting #4: cost 12 inf + 1158 44.692 * * [simplify]: Extracting #5: cost 0 inf + 3114 44.692 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 44.692 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J))) 44.693 * [simplify]: Simplifying (* 2 1) 44.693 * * [simplify]: iters left: 2 (3 enodes) 44.694 * * [simplify]: iters left: 1 (9 enodes) 44.696 * * [simplify]: Extracting #0: cost 1 inf + 0 44.696 * * [simplify]: Extracting #1: cost 0 inf + 1 44.696 * [simplify]: Simplified to 2 44.696 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 44.696 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 44.696 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 44.696 * * [simplify]: iters left: 6 (10 enodes) 44.698 * * [simplify]: iters left: 5 (36 enodes) 44.704 * * [simplify]: iters left: 4 (54 enodes) 44.718 * * [simplify]: iters left: 3 (71 enodes) 44.726 * * [simplify]: iters left: 2 (76 enodes) 44.735 * * [simplify]: Extracting #0: cost 1 inf + 0 44.735 * * [simplify]: Extracting #1: cost 3 inf + 0 44.735 * * [simplify]: Extracting #2: cost 14 inf + 0 44.735 * * [simplify]: Extracting #3: cost 23 inf + 3 44.735 * * [simplify]: Extracting #4: cost 24 inf + 295 44.736 * * [simplify]: Extracting #5: cost 9 inf + 2499 44.736 * * [simplify]: Extracting #6: cost 0 inf + 3722 44.737 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 44.737 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.737 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 44.737 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 44.737 * * [simplify]: iters left: 6 (10 enodes) 44.740 * * [simplify]: iters left: 5 (36 enodes) 44.745 * * [simplify]: iters left: 4 (54 enodes) 44.757 * * [simplify]: iters left: 3 (71 enodes) 44.767 * * [simplify]: iters left: 2 (76 enodes) 44.777 * * [simplify]: Extracting #0: cost 1 inf + 0 44.777 * * [simplify]: Extracting #1: cost 3 inf + 0 44.777 * * [simplify]: Extracting #2: cost 14 inf + 0 44.777 * * [simplify]: Extracting #3: cost 23 inf + 3 44.778 * * [simplify]: Extracting #4: cost 24 inf + 295 44.778 * * [simplify]: Extracting #5: cost 9 inf + 2419 44.779 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.779 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 44.779 * [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))) 44.780 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 44.780 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 44.780 * * [simplify]: iters left: 6 (9 enodes) 44.782 * * [simplify]: iters left: 5 (30 enodes) 44.786 * * [simplify]: iters left: 4 (34 enodes) 44.791 * * [simplify]: iters left: 3 (36 enodes) 44.800 * * [simplify]: Extracting #0: cost 1 inf + 0 44.800 * * [simplify]: Extracting #1: cost 8 inf + 0 44.800 * * [simplify]: Extracting #2: cost 14 inf + 1 44.800 * * [simplify]: Extracting #3: cost 16 inf + 2 44.800 * * [simplify]: Extracting #4: cost 11 inf + 288 44.800 * * [simplify]: Extracting #5: cost 5 inf + 962 44.801 * * [simplify]: Extracting #6: cost 0 inf + 1958 44.802 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 44.802 * [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))) 44.802 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 44.802 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 44.802 * * [simplify]: iters left: 6 (9 enodes) 44.806 * * [simplify]: iters left: 5 (30 enodes) 44.811 * * [simplify]: iters left: 4 (34 enodes) 44.816 * * [simplify]: iters left: 3 (36 enodes) 44.821 * * [simplify]: Extracting #0: cost 1 inf + 0 44.821 * * [simplify]: Extracting #1: cost 8 inf + 0 44.821 * * [simplify]: Extracting #2: cost 14 inf + 1 44.821 * * [simplify]: Extracting #3: cost 16 inf + 2 44.821 * * [simplify]: Extracting #4: cost 11 inf + 168 44.821 * * [simplify]: Extracting #5: cost 5 inf + 762 44.821 * * [simplify]: Extracting #6: cost 0 inf + 1638 44.821 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 44.822 * [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))) 44.822 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 44.822 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 44.822 * * [simplify]: iters left: 6 (8 enodes) 44.824 * * [simplify]: iters left: 5 (27 enodes) 44.828 * * [simplify]: iters left: 4 (31 enodes) 44.832 * * [simplify]: iters left: 3 (33 enodes) 44.836 * * [simplify]: Extracting #0: cost 1 inf + 0 44.836 * * [simplify]: Extracting #1: cost 8 inf + 0 44.836 * * [simplify]: Extracting #2: cost 11 inf + 2 44.836 * * [simplify]: Extracting #3: cost 12 inf + 86 44.836 * * [simplify]: Extracting #4: cost 9 inf + 130 44.836 * * [simplify]: Extracting #5: cost 1 inf + 1132 44.837 * * [simplify]: Extracting #6: cost 0 inf + 1316 44.837 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 44.837 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 44.837 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 44.837 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 44.837 * * [simplify]: iters left: 6 (9 enodes) 44.840 * * [simplify]: iters left: 5 (33 enodes) 44.846 * * [simplify]: iters left: 4 (51 enodes) 44.860 * * [simplify]: iters left: 3 (68 enodes) 44.880 * * [simplify]: iters left: 2 (73 enodes) 44.897 * * [simplify]: Extracting #0: cost 1 inf + 0 44.897 * * [simplify]: Extracting #1: cost 12 inf + 0 44.898 * * [simplify]: Extracting #2: cost 21 inf + 3 44.898 * * [simplify]: Extracting #3: cost 21 inf + 337 44.898 * * [simplify]: Extracting #4: cost 12 inf + 1158 44.899 * * [simplify]: Extracting #5: cost 0 inf + 3114 44.901 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 44.901 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 44.901 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 44.901 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 44.901 * * [simplify]: iters left: 6 (9 enodes) 44.907 * * [simplify]: iters left: 5 (36 enodes) 44.918 * * [simplify]: iters left: 4 (56 enodes) 44.935 * * [simplify]: iters left: 3 (72 enodes) 44.944 * * [simplify]: iters left: 2 (76 enodes) 44.953 * * [simplify]: Extracting #0: cost 1 inf + 0 44.953 * * [simplify]: Extracting #1: cost 12 inf + 0 44.953 * * [simplify]: Extracting #2: cost 18 inf + 46 44.953 * * [simplify]: Extracting #3: cost 21 inf + 172 44.954 * * [simplify]: Extracting #4: cost 12 inf + 1055 44.954 * * [simplify]: Extracting #5: cost 2 inf + 2464 44.955 * * [simplify]: Extracting #6: cost 0 inf + 2789 44.955 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 44.956 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 44.956 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 44.956 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.956 * * [simplify]: iters left: 6 (11 enodes) 44.959 * * [simplify]: iters left: 5 (39 enodes) 44.964 * * [simplify]: iters left: 4 (57 enodes) 44.972 * * [simplify]: iters left: 3 (74 enodes) 44.983 * * [simplify]: iters left: 2 (79 enodes) 44.992 * * [simplify]: Extracting #0: cost 1 inf + 0 44.992 * * [simplify]: Extracting #1: cost 3 inf + 0 44.992 * * [simplify]: Extracting #2: cost 5 inf + 0 44.992 * * [simplify]: Extracting #3: cost 16 inf + 0 44.992 * * [simplify]: Extracting #4: cost 25 inf + 3 44.992 * * [simplify]: Extracting #5: cost 28 inf + 129 44.993 * * [simplify]: Extracting #6: cost 13 inf + 1889 44.993 * * [simplify]: Extracting #7: cost 3 inf + 3901 44.994 * * [simplify]: Extracting #8: cost 0 inf + 4410 44.995 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 44.995 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.995 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 44.995 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 44.995 * * [simplify]: iters left: 6 (10 enodes) 44.998 * * [simplify]: iters left: 5 (36 enodes) 45.003 * * [simplify]: iters left: 4 (54 enodes) 45.011 * * [simplify]: iters left: 3 (71 enodes) 45.028 * * [simplify]: iters left: 2 (76 enodes) 45.046 * * [simplify]: Extracting #0: cost 1 inf + 0 45.046 * * [simplify]: Extracting #1: cost 3 inf + 0 45.047 * * [simplify]: Extracting #2: cost 14 inf + 0 45.047 * * [simplify]: Extracting #3: cost 23 inf + 3 45.047 * * [simplify]: Extracting #4: cost 24 inf + 295 45.048 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.049 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.050 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.050 * [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))) 45.050 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 45.051 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 45.051 * * [simplify]: iters left: 5 (5 enodes) 45.054 * * [simplify]: iters left: 4 (17 enodes) 45.059 * * [simplify]: iters left: 3 (21 enodes) 45.065 * * [simplify]: iters left: 2 (24 enodes) 45.072 * * [simplify]: Extracting #0: cost 1 inf + 0 45.072 * * [simplify]: Extracting #1: cost 7 inf + 0 45.072 * * [simplify]: Extracting #2: cost 11 inf + 1 45.072 * * [simplify]: Extracting #3: cost 10 inf + 2 45.072 * * [simplify]: Extracting #4: cost 0 inf + 1218 45.073 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 45.073 * [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))) 45.073 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 45.073 * [simplify]: Simplifying (/ (sqrt U) 2) 45.073 * * [simplify]: iters left: 3 (4 enodes) 45.075 * * [simplify]: iters left: 2 (12 enodes) 45.079 * * [simplify]: Extracting #0: cost 1 inf + 0 45.079 * * [simplify]: Extracting #1: cost 4 inf + 0 45.079 * * [simplify]: Extracting #2: cost 5 inf + 1 45.079 * * [simplify]: Extracting #3: cost 4 inf + 2 45.080 * * [simplify]: Extracting #4: cost 0 inf + 248 45.080 * [simplify]: Simplified to (/ (sqrt U) 2) 45.080 * [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))) 45.080 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 45.080 * [simplify]: Simplifying (/ 1 2) 45.080 * * [simplify]: iters left: 2 (3 enodes) 45.083 * * [simplify]: iters left: 1 (12 enodes) 45.090 * * [simplify]: Extracting #0: cost 1 inf + 0 45.090 * * [simplify]: Extracting #1: cost 0 inf + 1 45.090 * [simplify]: Simplified to 1/2 45.090 * [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))) 45.091 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 45.091 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 45.091 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 45.091 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 45.091 * * [simplify]: iters left: 6 (7 enodes) 45.095 * * [simplify]: iters left: 5 (25 enodes) 45.103 * * [simplify]: iters left: 4 (33 enodes) 45.112 * * [simplify]: iters left: 3 (39 enodes) 45.122 * * [simplify]: Extracting #0: cost 1 inf + 0 45.122 * * [simplify]: Extracting #1: cost 8 inf + 0 45.122 * * [simplify]: Extracting #2: cost 11 inf + 2 45.122 * * [simplify]: Extracting #3: cost 12 inf + 44 45.122 * * [simplify]: Extracting #4: cost 10 inf + 87 45.123 * * [simplify]: Extracting #5: cost 4 inf + 660 45.123 * * [simplify]: Extracting #6: cost 1 inf + 1128 45.124 * * [simplify]: Extracting #7: cost 0 inf + 1311 45.124 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 45.124 * [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))) 45.124 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 45.125 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 45.125 * * [simplify]: iters left: 6 (10 enodes) 45.130 * * [simplify]: iters left: 5 (39 enodes) 45.137 * * [simplify]: iters left: 4 (75 enodes) 45.150 * * [simplify]: iters left: 3 (155 enodes) 45.179 * * [simplify]: iters left: 2 (223 enodes) 45.250 * * [simplify]: iters left: 1 (275 enodes) 45.318 * * [simplify]: Extracting #0: cost 1 inf + 0 45.318 * * [simplify]: Extracting #1: cost 34 inf + 0 45.319 * * [simplify]: Extracting #2: cost 56 inf + 128 45.319 * * [simplify]: Extracting #3: cost 42 inf + 1204 45.321 * * [simplify]: Extracting #4: cost 19 inf + 4613 45.326 * * [simplify]: Extracting #5: cost 0 inf + 8215 45.330 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 45.330 * [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))) 45.331 * * * * [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)))> 45.331 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 45.331 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 45.331 * [simplify]: Simplifying (* (cos (/ K 2)) J) 45.331 * * [simplify]: iters left: 5 (6 enodes) 45.334 * * [simplify]: iters left: 4 (19 enodes) 45.340 * * [simplify]: Extracting #0: cost 1 inf + 0 45.340 * * [simplify]: Extracting #1: cost 4 inf + 0 45.340 * * [simplify]: Extracting #2: cost 5 inf + 1 45.340 * * [simplify]: Extracting #3: cost 8 inf + 1 45.340 * * [simplify]: Extracting #4: cost 6 inf + 3 45.340 * * [simplify]: Extracting #5: cost 0 inf + 577 45.341 * [simplify]: Simplified to (* (cos (/ K 2)) J) 45.341 * [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))) 45.341 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 45.341 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 45.341 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 45.341 * * [simplify]: iters left: 6 (8 enodes) 45.345 * * [simplify]: iters left: 5 (25 enodes) 45.352 * * [simplify]: Extracting #0: cost 1 inf + 0 45.352 * * [simplify]: Extracting #1: cost 4 inf + 0 45.352 * * [simplify]: Extracting #2: cost 8 inf + 0 45.352 * * [simplify]: Extracting #3: cost 8 inf + 72 45.353 * * [simplify]: Extracting #4: cost 10 inf + 143 45.353 * * [simplify]: Extracting #5: cost 8 inf + 145 45.353 * * [simplify]: Extracting #6: cost 5 inf + 331 45.353 * * [simplify]: Extracting #7: cost 1 inf + 1060 45.354 * * [simplify]: Extracting #8: cost 0 inf + 1343 45.354 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 45.354 * [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))))))) 45.354 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 45.354 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 45.354 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 45.355 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 45.355 * * [simplify]: iters left: 6 (10 enodes) 45.360 * * [simplify]: iters left: 5 (37 enodes) 45.372 * * [simplify]: iters left: 4 (66 enodes) 45.398 * * [simplify]: iters left: 3 (125 enodes) 45.447 * * [simplify]: iters left: 2 (196 enodes) 45.506 * * [simplify]: iters left: 1 (353 enodes) 45.650 * * [simplify]: Extracting #0: cost 1 inf + 0 45.650 * * [simplify]: Extracting #1: cost 51 inf + 0 45.651 * * [simplify]: Extracting #2: cost 146 inf + 124 45.652 * * [simplify]: Extracting #3: cost 153 inf + 460 45.654 * * [simplify]: Extracting #4: cost 133 inf + 4920 45.663 * * [simplify]: Extracting #5: cost 45 inf + 43385 45.678 * * [simplify]: Extracting #6: cost 4 inf + 66357 45.687 * * [simplify]: Extracting #7: cost 0 inf + 69278 45.695 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 45.695 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 45.695 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 45.695 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 45.695 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 45.695 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 45.695 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 45.695 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 45.695 * * [simplify]: iters left: 6 (8 enodes) 45.697 * * [simplify]: iters left: 5 (25 enodes) 45.701 * * [simplify]: Extracting #0: cost 1 inf + 0 45.701 * * [simplify]: Extracting #1: cost 4 inf + 0 45.701 * * [simplify]: Extracting #2: cost 8 inf + 0 45.701 * * [simplify]: Extracting #3: cost 8 inf + 42 45.701 * * [simplify]: Extracting #4: cost 10 inf + 83 45.701 * * [simplify]: Extracting #5: cost 8 inf + 85 45.701 * * [simplify]: Extracting #6: cost 5 inf + 271 45.701 * * [simplify]: Extracting #7: cost 1 inf + 880 45.702 * * [simplify]: Extracting #8: cost 0 inf + 1103 45.702 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 45.702 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J))))) 45.702 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 45.702 * * [simplify]: iters left: 6 (8 enodes) 45.704 * * [simplify]: iters left: 5 (25 enodes) 45.713 * * [simplify]: Extracting #0: cost 1 inf + 0 45.713 * * [simplify]: Extracting #1: cost 4 inf + 0 45.713 * * [simplify]: Extracting #2: cost 8 inf + 0 45.714 * * [simplify]: Extracting #3: cost 8 inf + 42 45.714 * * [simplify]: Extracting #4: cost 10 inf + 83 45.714 * * [simplify]: Extracting #5: cost 8 inf + 85 45.714 * * [simplify]: Extracting #6: cost 5 inf + 271 45.714 * * [simplify]: Extracting #7: cost 1 inf + 880 45.714 * * [simplify]: Extracting #8: cost 0 inf + 1103 45.715 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 45.715 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2))))))) 45.715 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 45.715 * [simplify]: Simplifying (cbrt J) 45.715 * * [simplify]: iters left: 1 (2 enodes) 45.716 * * [simplify]: Extracting #0: cost 1 inf + 0 45.716 * * [simplify]: Extracting #1: cost 3 inf + 0 45.716 * * [simplify]: Extracting #2: cost 2 inf + 1 45.716 * * [simplify]: Extracting #3: cost 0 inf + 163 45.717 * [simplify]: Simplified to (cbrt J) 45.717 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 45.717 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 45.717 * [simplify]: Simplifying (sqrt J) 45.717 * * [simplify]: iters left: 1 (2 enodes) 45.718 * * [simplify]: Extracting #0: cost 1 inf + 0 45.718 * * [simplify]: Extracting #1: cost 3 inf + 0 45.718 * * [simplify]: Extracting #2: cost 2 inf + 1 45.718 * * [simplify]: Extracting #3: cost 0 inf + 83 45.718 * [simplify]: Simplified to (sqrt J) 45.718 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (sqrt J)) (sqrt J)))) 45.718 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 45.718 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 45.719 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 45.719 * * [simplify]: iters left: 6 (6 enodes) 45.722 * * [simplify]: iters left: 5 (18 enodes) 45.728 * * [simplify]: Extracting #0: cost 1 inf + 0 45.728 * * [simplify]: Extracting #1: cost 3 inf + 0 45.728 * * [simplify]: Extracting #2: cost 5 inf + 0 45.728 * * [simplify]: Extracting #3: cost 7 inf + 0 45.728 * * [simplify]: Extracting #4: cost 10 inf + 0 45.728 * * [simplify]: Extracting #5: cost 8 inf + 2 45.728 * * [simplify]: Extracting #6: cost 0 inf + 1098 45.728 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 45.728 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 45.729 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 45.729 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 45.729 * * [simplify]: iters left: 4 (5 enodes) 45.732 * * [simplify]: iters left: 3 (15 enodes) 45.736 * * [simplify]: Extracting #0: cost 1 inf + 0 45.736 * * [simplify]: Extracting #1: cost 3 inf + 0 45.736 * * [simplify]: Extracting #2: cost 5 inf + 0 45.736 * * [simplify]: Extracting #3: cost 8 inf + 0 45.736 * * [simplify]: Extracting #4: cost 6 inf + 2 45.737 * * [simplify]: Extracting #5: cost 0 inf + 574 45.737 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 45.737 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J)))) 45.737 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 45.737 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 45.737 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 45.737 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 45.737 * [simplify]: Simplifying 1 45.738 * * [simplify]: iters left: 0 (1 enodes) 45.739 * * [simplify]: Extracting #0: cost 1 inf + 0 45.739 * * [simplify]: Extracting #1: cost 0 inf + 1 45.739 * [simplify]: Simplified to 1 45.739 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 45.739 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 45.739 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 45.739 * * [simplify]: iters left: 6 (9 enodes) 45.744 * * [simplify]: iters left: 5 (34 enodes) 45.754 * * [simplify]: iters left: 4 (56 enodes) 45.772 * * [simplify]: iters left: 3 (90 enodes) 45.798 * * [simplify]: iters left: 2 (114 enodes) 45.813 * * [simplify]: iters left: 1 (131 enodes) 45.834 * * [simplify]: Extracting #0: cost 1 inf + 0 45.834 * * [simplify]: Extracting #1: cost 22 inf + 0 45.834 * * [simplify]: Extracting #2: cost 37 inf + 3 45.835 * * [simplify]: Extracting #3: cost 31 inf + 380 45.835 * * [simplify]: Extracting #4: cost 17 inf + 1834 45.837 * * [simplify]: Extracting #5: cost 3 inf + 4117 45.840 * * [simplify]: Extracting #6: cost 0 inf + 4586 45.842 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 45.842 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 45.842 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 45.842 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 45.842 * * [simplify]: iters left: 6 (9 enodes) 45.847 * * [simplify]: iters left: 5 (34 enodes) 45.854 * * [simplify]: iters left: 4 (56 enodes) 45.863 * * [simplify]: iters left: 3 (90 enodes) 45.876 * * [simplify]: iters left: 2 (114 enodes) 45.898 * * [simplify]: iters left: 1 (131 enodes) 45.918 * * [simplify]: Extracting #0: cost 1 inf + 0 45.918 * * [simplify]: Extracting #1: cost 22 inf + 0 45.918 * * [simplify]: Extracting #2: cost 37 inf + 3 45.918 * * [simplify]: Extracting #3: cost 31 inf + 380 45.919 * * [simplify]: Extracting #4: cost 17 inf + 1834 45.920 * * [simplify]: Extracting #5: cost 3 inf + 4117 45.921 * * [simplify]: Extracting #6: cost 0 inf + 4586 45.922 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 45.922 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 45.922 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 45.922 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 45.922 * * [simplify]: iters left: 6 (10 enodes) 45.925 * * [simplify]: iters left: 5 (43 enodes) 45.937 * * [simplify]: iters left: 4 (79 enodes) 45.950 * * [simplify]: iters left: 3 (118 enodes) 45.967 * * [simplify]: iters left: 2 (171 enodes) 45.997 * * [simplify]: iters left: 1 (242 enodes) 46.074 * * [simplify]: Extracting #0: cost 1 inf + 0 46.074 * * [simplify]: Extracting #1: cost 6 inf + 0 46.074 * * [simplify]: Extracting #2: cost 41 inf + 0 46.075 * * [simplify]: Extracting #3: cost 56 inf + 213 46.076 * * [simplify]: Extracting #4: cost 20 inf + 2732 46.079 * * [simplify]: Extracting #5: cost 1 inf + 4576 46.082 * * [simplify]: Extracting #6: cost 0 inf + 4698 46.086 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 46.086 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 46.086 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 46.086 * [simplify]: Simplifying (* -1 U) 46.086 * * [simplify]: iters left: 2 (3 enodes) 46.088 * * [simplify]: iters left: 1 (11 enodes) 46.092 * * [simplify]: Extracting #0: cost 1 inf + 0 46.092 * * [simplify]: Extracting #1: cost 4 inf + 0 46.092 * * [simplify]: Extracting #2: cost 0 inf + 84 46.092 * [simplify]: Simplified to (- U) 46.092 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.092 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 46.092 * [simplify]: Simplifying (* -1 U) 46.092 * * [simplify]: iters left: 2 (3 enodes) 46.094 * * [simplify]: iters left: 1 (11 enodes) 46.097 * * [simplify]: Extracting #0: cost 1 inf + 0 46.097 * * [simplify]: Extracting #1: cost 4 inf + 0 46.097 * * [simplify]: Extracting #2: cost 0 inf + 84 46.097 * [simplify]: Simplified to (- U) 46.098 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.098 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 46.098 * [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))))) 46.100 * * [simplify]: iters left: 6 (22 enodes) 46.111 * * [simplify]: iters left: 5 (98 enodes) 46.128 * * [simplify]: iters left: 4 (205 enodes) 46.203 * * [simplify]: Extracting #0: cost 1 inf + 0 46.203 * * [simplify]: Extracting #1: cost 8 inf + 0 46.204 * * [simplify]: Extracting #2: cost 99 inf + 0 46.204 * * [simplify]: Extracting #3: cost 194 inf + 251 46.206 * * [simplify]: Extracting #4: cost 104 inf + 10603 46.212 * * [simplify]: Extracting #5: cost 8 inf + 24728 46.218 * * [simplify]: Extracting #6: cost 0 inf + 25715 46.224 * * [simplify]: Extracting #7: cost 0 inf + 25355 46.234 * * [simplify]: Extracting #8: cost 0 inf + 25315 46.243 * [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)) 46.243 * [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))) 46.243 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 46.243 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 46.243 * * [simplify]: iters left: 6 (14 enodes) 46.247 * * [simplify]: iters left: 5 (60 enodes) 46.259 * * [simplify]: iters left: 4 (121 enodes) 46.308 * * [simplify]: iters left: 3 (401 enodes) 46.492 * * [simplify]: Extracting #0: cost 1 inf + 0 46.492 * * [simplify]: Extracting #1: cost 135 inf + 0 46.494 * * [simplify]: Extracting #2: cost 287 inf + 168 46.495 * * [simplify]: Extracting #3: cost 261 inf + 2234 46.499 * * [simplify]: Extracting #4: cost 167 inf + 19219 46.518 * * [simplify]: Extracting #5: cost 11 inf + 55565 46.535 * * [simplify]: Extracting #6: cost 0 inf + 57309 46.560 * * [simplify]: Extracting #7: cost 0 inf + 57229 46.576 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 46.576 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 46.576 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 46.576 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 46.576 * * [simplify]: iters left: 6 (14 enodes) 46.581 * * [simplify]: iters left: 5 (60 enodes) 46.592 * * [simplify]: iters left: 4 (121 enodes) 46.637 * * [simplify]: iters left: 3 (401 enodes) 46.834 * * [simplify]: Extracting #0: cost 1 inf + 0 46.834 * * [simplify]: Extracting #1: cost 135 inf + 0 46.836 * * [simplify]: Extracting #2: cost 287 inf + 168 46.837 * * [simplify]: Extracting #3: cost 261 inf + 2234 46.842 * * [simplify]: Extracting #4: cost 167 inf + 19219 46.861 * * [simplify]: Extracting #5: cost 11 inf + 55565 46.877 * * [simplify]: Extracting #6: cost 0 inf + 57309 46.891 * * [simplify]: Extracting #7: cost 0 inf + 57229 46.915 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 46.915 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 46.916 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 46.916 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 46.916 * * [simplify]: iters left: 6 (8 enodes) 46.921 * * [simplify]: iters left: 5 (35 enodes) 46.933 * * [simplify]: iters left: 4 (67 enodes) 46.956 * * [simplify]: iters left: 3 (133 enodes) 47.005 * * [simplify]: iters left: 2 (207 enodes) 47.045 * * [simplify]: iters left: 1 (230 enodes) 47.087 * * [simplify]: Extracting #0: cost 1 inf + 0 47.087 * * [simplify]: Extracting #1: cost 6 inf + 0 47.087 * * [simplify]: Extracting #2: cost 28 inf + 1 47.087 * * [simplify]: Extracting #3: cost 33 inf + 378 47.089 * * [simplify]: Extracting #4: cost 2 inf + 2884 47.091 * * [simplify]: Extracting #5: cost 0 inf + 3130 47.093 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 47.094 * [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))))) 47.094 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 47.094 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.094 * * [simplify]: iters left: 5 (6 enodes) 47.097 * * [simplify]: iters left: 4 (20 enodes) 47.103 * * [simplify]: Extracting #0: cost 1 inf + 0 47.103 * * [simplify]: Extracting #1: cost 4 inf + 0 47.103 * * [simplify]: Extracting #2: cost 5 inf + 1 47.103 * * [simplify]: Extracting #3: cost 8 inf + 1 47.103 * * [simplify]: Extracting #4: cost 6 inf + 3 47.103 * * [simplify]: Extracting #5: cost 0 inf + 577 47.103 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.103 * [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))) 47.103 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 47.104 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.104 * * [simplify]: iters left: 5 (6 enodes) 47.107 * * [simplify]: iters left: 4 (20 enodes) 47.112 * * [simplify]: Extracting #0: cost 1 inf + 0 47.113 * * [simplify]: Extracting #1: cost 4 inf + 0 47.113 * * [simplify]: Extracting #2: cost 5 inf + 1 47.113 * * [simplify]: Extracting #3: cost 8 inf + 1 47.113 * * [simplify]: Extracting #4: cost 6 inf + 3 47.113 * * [simplify]: Extracting #5: cost 0 inf + 577 47.113 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.113 * [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))) 47.114 * * * [progress]: adding candidates to table 49.086 * * [progress]: iteration 2 / 4 49.086 * * * [progress]: picking best candidate 49.137 * * * * [pick]: Picked # 49.137 * * * [progress]: localizing error 49.212 * * * [progress]: generating rewritten candidates 49.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 49.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 49.884 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 49.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 49.890 * * * [progress]: generating series expansions 49.890 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 49.890 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 49.890 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 49.890 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 49.890 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 49.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 49.890 * [taylor]: Taking taylor expansion of 1/4 in J 49.891 * [backup-simplify]: Simplify 1/4 into 1/4 49.891 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 49.891 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.891 * [taylor]: Taking taylor expansion of U in J 49.891 * [backup-simplify]: Simplify U into U 49.891 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 49.891 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 49.891 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.891 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.891 * [taylor]: Taking taylor expansion of 1/2 in J 49.891 * [backup-simplify]: Simplify 1/2 into 1/2 49.891 * [taylor]: Taking taylor expansion of K in J 49.891 * [backup-simplify]: Simplify K into K 49.891 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.891 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.891 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.891 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.891 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.892 * [backup-simplify]: Simplify (- 0) into 0 49.892 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.892 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.892 * [taylor]: Taking taylor expansion of J in J 49.892 * [backup-simplify]: Simplify 0 into 0 49.892 * [backup-simplify]: Simplify 1 into 1 49.892 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.893 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.893 * [backup-simplify]: Simplify (* 1 1) into 1 49.893 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 49.893 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 49.893 * [taylor]: Taking taylor expansion of 1 in J 49.893 * [backup-simplify]: Simplify 1 into 1 49.894 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.894 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 49.894 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 49.894 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.896 * [backup-simplify]: Simplify (+ 0) into 0 49.896 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.897 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.898 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.898 * [backup-simplify]: Simplify (- 0) into 0 49.899 * [backup-simplify]: Simplify (+ 0 0) into 0 49.899 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.899 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 49.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 49.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 49.901 * [backup-simplify]: Simplify (+ 0 0) into 0 49.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 49.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 49.901 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 49.901 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 49.901 * [taylor]: Taking taylor expansion of 1/4 in K 49.901 * [backup-simplify]: Simplify 1/4 into 1/4 49.901 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.901 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.901 * [taylor]: Taking taylor expansion of U in K 49.901 * [backup-simplify]: Simplify U into U 49.901 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.901 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.901 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.901 * [taylor]: Taking taylor expansion of 1/2 in K 49.902 * [backup-simplify]: Simplify 1/2 into 1/2 49.902 * [taylor]: Taking taylor expansion of K in K 49.902 * [backup-simplify]: Simplify 0 into 0 49.902 * [backup-simplify]: Simplify 1 into 1 49.902 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.903 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.903 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.903 * [taylor]: Taking taylor expansion of J in K 49.903 * [backup-simplify]: Simplify J into J 49.903 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.903 * [backup-simplify]: Simplify (* 1 1) into 1 49.903 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.903 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.904 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 49.904 * [taylor]: Taking taylor expansion of 1 in K 49.904 * [backup-simplify]: Simplify 1 into 1 49.904 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 49.904 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 49.904 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 49.904 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.904 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.905 * [backup-simplify]: Simplify (+ 0) into 0 49.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.906 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 49.907 * [backup-simplify]: Simplify (+ 0 0) into 0 49.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 49.908 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.908 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.908 * [taylor]: Taking taylor expansion of 1/4 in U 49.908 * [backup-simplify]: Simplify 1/4 into 1/4 49.908 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.908 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.908 * [taylor]: Taking taylor expansion of U in U 49.908 * [backup-simplify]: Simplify 0 into 0 49.908 * [backup-simplify]: Simplify 1 into 1 49.908 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.908 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.908 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.908 * [taylor]: Taking taylor expansion of 1/2 in U 49.908 * [backup-simplify]: Simplify 1/2 into 1/2 49.908 * [taylor]: Taking taylor expansion of K in U 49.908 * [backup-simplify]: Simplify K into K 49.908 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.908 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.908 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.908 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.908 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.909 * [backup-simplify]: Simplify (- 0) into 0 49.909 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.909 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.909 * [taylor]: Taking taylor expansion of J in U 49.909 * [backup-simplify]: Simplify J into J 49.909 * [backup-simplify]: Simplify (* 1 1) into 1 49.909 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.910 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.910 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.910 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.910 * [taylor]: Taking taylor expansion of 1 in U 49.910 * [backup-simplify]: Simplify 1 into 1 49.910 * [backup-simplify]: Simplify (+ 0 1) into 1 49.911 * [backup-simplify]: Simplify (sqrt 1) into 1 49.911 * [backup-simplify]: Simplify (+ 0 0) into 0 49.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.912 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.912 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.912 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.912 * [taylor]: Taking taylor expansion of 1/4 in U 49.912 * [backup-simplify]: Simplify 1/4 into 1/4 49.912 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.912 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.912 * [taylor]: Taking taylor expansion of U in U 49.912 * [backup-simplify]: Simplify 0 into 0 49.912 * [backup-simplify]: Simplify 1 into 1 49.912 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.912 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.912 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.912 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.912 * [taylor]: Taking taylor expansion of 1/2 in U 49.912 * [backup-simplify]: Simplify 1/2 into 1/2 49.912 * [taylor]: Taking taylor expansion of K in U 49.912 * [backup-simplify]: Simplify K into K 49.912 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.912 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.912 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.913 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.913 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.913 * [backup-simplify]: Simplify (- 0) into 0 49.913 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.913 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.913 * [taylor]: Taking taylor expansion of J in U 49.913 * [backup-simplify]: Simplify J into J 49.914 * [backup-simplify]: Simplify (* 1 1) into 1 49.914 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.914 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.914 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.914 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.914 * [taylor]: Taking taylor expansion of 1 in U 49.914 * [backup-simplify]: Simplify 1 into 1 49.915 * [backup-simplify]: Simplify (+ 0 1) into 1 49.915 * [backup-simplify]: Simplify (sqrt 1) into 1 49.915 * [backup-simplify]: Simplify (+ 0 0) into 0 49.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.916 * [taylor]: Taking taylor expansion of 1 in K 49.916 * [backup-simplify]: Simplify 1 into 1 49.916 * [taylor]: Taking taylor expansion of 1 in J 49.916 * [backup-simplify]: Simplify 1 into 1 49.916 * [taylor]: Taking taylor expansion of 0 in K 49.916 * [backup-simplify]: Simplify 0 into 0 49.916 * [taylor]: Taking taylor expansion of 0 in J 49.916 * [backup-simplify]: Simplify 0 into 0 49.916 * [taylor]: Taking taylor expansion of 0 in J 49.916 * [backup-simplify]: Simplify 0 into 0 49.916 * [backup-simplify]: Simplify 1 into 1 49.917 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.917 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 49.918 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.918 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.918 * [taylor]: Taking taylor expansion of 1/8 in K 49.918 * [backup-simplify]: Simplify 1/8 into 1/8 49.919 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.919 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.919 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.919 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.919 * [taylor]: Taking taylor expansion of 1/2 in K 49.919 * [backup-simplify]: Simplify 1/2 into 1/2 49.919 * [taylor]: Taking taylor expansion of K in K 49.919 * [backup-simplify]: Simplify 0 into 0 49.919 * [backup-simplify]: Simplify 1 into 1 49.919 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.920 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.920 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.920 * [taylor]: Taking taylor expansion of J in K 49.920 * [backup-simplify]: Simplify J into J 49.920 * [backup-simplify]: Simplify (* 1 1) into 1 49.920 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.920 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.920 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 49.920 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 49.920 * [taylor]: Taking taylor expansion of 1/8 in J 49.920 * [backup-simplify]: Simplify 1/8 into 1/8 49.920 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.920 * [taylor]: Taking taylor expansion of J in J 49.920 * [backup-simplify]: Simplify 0 into 0 49.920 * [backup-simplify]: Simplify 1 into 1 49.920 * [backup-simplify]: Simplify (* 1 1) into 1 49.921 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 49.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 49.922 * [backup-simplify]: Simplify 0 into 0 49.922 * [taylor]: Taking taylor expansion of 0 in J 49.922 * [backup-simplify]: Simplify 0 into 0 49.922 * [taylor]: Taking taylor expansion of 0 in J 49.922 * [backup-simplify]: Simplify 0 into 0 49.922 * [backup-simplify]: Simplify 0 into 0 49.922 * [backup-simplify]: Simplify 0 into 0 49.922 * [backup-simplify]: Simplify 0 into 0 49.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.922 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.922 * [backup-simplify]: Simplify (+ 0) into 0 49.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.924 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.924 * [backup-simplify]: Simplify (- 0) into 0 49.924 * [backup-simplify]: Simplify (+ 0 0) into 0 49.924 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.925 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 49.925 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 49.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 49.926 * [backup-simplify]: Simplify (+ 0 0) into 0 49.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 49.926 * [taylor]: Taking taylor expansion of 0 in K 49.926 * [backup-simplify]: Simplify 0 into 0 49.926 * [taylor]: Taking taylor expansion of 0 in J 49.926 * [backup-simplify]: Simplify 0 into 0 49.926 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.927 * [backup-simplify]: Simplify (+ 0) into 0 49.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.927 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 49.927 * [taylor]: Taking taylor expansion of 0 in J 49.928 * [backup-simplify]: Simplify 0 into 0 49.928 * [taylor]: Taking taylor expansion of 0 in J 49.928 * [backup-simplify]: Simplify 0 into 0 49.928 * [taylor]: Taking taylor expansion of 0 in J 49.928 * [backup-simplify]: Simplify 0 into 0 49.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.929 * [backup-simplify]: Simplify 0 into 0 49.929 * [backup-simplify]: Simplify 0 into 0 49.929 * [backup-simplify]: Simplify 1 into 1 49.929 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.929 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 49.929 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 49.929 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 49.929 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 49.929 * [taylor]: Taking taylor expansion of 1/4 in J 49.929 * [backup-simplify]: Simplify 1/4 into 1/4 49.929 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 49.929 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.929 * [taylor]: Taking taylor expansion of J in J 49.929 * [backup-simplify]: Simplify 0 into 0 49.929 * [backup-simplify]: Simplify 1 into 1 49.929 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 49.929 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.929 * [taylor]: Taking taylor expansion of U in J 49.929 * [backup-simplify]: Simplify U into U 49.930 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 49.930 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.930 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.930 * [taylor]: Taking taylor expansion of 1/2 in J 49.930 * [backup-simplify]: Simplify 1/2 into 1/2 49.930 * [taylor]: Taking taylor expansion of K in J 49.930 * [backup-simplify]: Simplify K into K 49.930 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.930 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.930 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.930 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.930 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.930 * [backup-simplify]: Simplify (- 0) into 0 49.930 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.931 * [backup-simplify]: Simplify (* 1 1) into 1 49.931 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.931 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.931 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.931 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.931 * [taylor]: Taking taylor expansion of 1 in J 49.931 * [backup-simplify]: Simplify 1 into 1 49.931 * [backup-simplify]: Simplify (+ 0 1) into 1 49.932 * [backup-simplify]: Simplify (sqrt 1) into 1 49.932 * [backup-simplify]: Simplify (+ 0 0) into 0 49.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.932 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 49.932 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 49.932 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 49.933 * [taylor]: Taking taylor expansion of 1/4 in K 49.933 * [backup-simplify]: Simplify 1/4 into 1/4 49.933 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 49.933 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.933 * [taylor]: Taking taylor expansion of J in K 49.933 * [backup-simplify]: Simplify J into J 49.933 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 49.933 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.933 * [taylor]: Taking taylor expansion of U in K 49.933 * [backup-simplify]: Simplify U into U 49.933 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 49.933 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.933 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.933 * [taylor]: Taking taylor expansion of 1/2 in K 49.933 * [backup-simplify]: Simplify 1/2 into 1/2 49.933 * [taylor]: Taking taylor expansion of K in K 49.933 * [backup-simplify]: Simplify 0 into 0 49.933 * [backup-simplify]: Simplify 1 into 1 49.933 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.933 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.933 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.933 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.933 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.933 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.934 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.934 * [taylor]: Taking taylor expansion of 1 in K 49.934 * [backup-simplify]: Simplify 1 into 1 49.934 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 49.934 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 49.934 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 49.934 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.934 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.935 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.935 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.936 * [backup-simplify]: Simplify (+ 0 0) into 0 49.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 49.936 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.936 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.936 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.936 * [taylor]: Taking taylor expansion of 1/4 in U 49.936 * [backup-simplify]: Simplify 1/4 into 1/4 49.936 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.936 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.936 * [taylor]: Taking taylor expansion of J in U 49.936 * [backup-simplify]: Simplify J into J 49.936 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.936 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.936 * [taylor]: Taking taylor expansion of U in U 49.936 * [backup-simplify]: Simplify 0 into 0 49.936 * [backup-simplify]: Simplify 1 into 1 49.936 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.936 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.936 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.936 * [taylor]: Taking taylor expansion of 1/2 in U 49.936 * [backup-simplify]: Simplify 1/2 into 1/2 49.936 * [taylor]: Taking taylor expansion of K in U 49.936 * [backup-simplify]: Simplify K into K 49.936 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.936 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.937 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.937 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.937 * [backup-simplify]: Simplify (- 0) into 0 49.937 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.937 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.937 * [backup-simplify]: Simplify (* 1 1) into 1 49.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.937 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.938 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.938 * [taylor]: Taking taylor expansion of 1 in U 49.938 * [backup-simplify]: Simplify 1 into 1 49.938 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.938 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.938 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.938 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.940 * [backup-simplify]: Simplify (+ 0) into 0 49.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.942 * [backup-simplify]: Simplify (- 0) into 0 49.942 * [backup-simplify]: Simplify (+ 0 0) into 0 49.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.943 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.944 * [backup-simplify]: Simplify (+ 0 0) into 0 49.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.944 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.944 * [taylor]: Taking taylor expansion of 1/4 in U 49.944 * [backup-simplify]: Simplify 1/4 into 1/4 49.944 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.944 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.944 * [taylor]: Taking taylor expansion of J in U 49.944 * [backup-simplify]: Simplify J into J 49.944 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.944 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.944 * [taylor]: Taking taylor expansion of U in U 49.944 * [backup-simplify]: Simplify 0 into 0 49.944 * [backup-simplify]: Simplify 1 into 1 49.944 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.944 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.944 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.944 * [taylor]: Taking taylor expansion of 1/2 in U 49.944 * [backup-simplify]: Simplify 1/2 into 1/2 49.944 * [taylor]: Taking taylor expansion of K in U 49.944 * [backup-simplify]: Simplify K into K 49.944 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.944 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.944 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.944 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.944 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.945 * [backup-simplify]: Simplify (- 0) into 0 49.945 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.945 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.945 * [backup-simplify]: Simplify (* 1 1) into 1 49.945 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.945 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.945 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.945 * [taylor]: Taking taylor expansion of 1 in U 49.945 * [backup-simplify]: Simplify 1 into 1 49.945 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.946 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 49.946 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.946 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.946 * [backup-simplify]: Simplify (+ 0) into 0 49.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.947 * [backup-simplify]: Simplify (- 0) into 0 49.948 * [backup-simplify]: Simplify (+ 0 0) into 0 49.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.949 * [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))))) into 0 49.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.950 * [backup-simplify]: Simplify (+ 0 0) into 0 49.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 49.950 * [taylor]: Taking taylor expansion of 1/2 in K 49.950 * [backup-simplify]: Simplify 1/2 into 1/2 49.950 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 49.950 * [taylor]: Taking taylor expansion of J in K 49.950 * [backup-simplify]: Simplify J into J 49.950 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.950 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.950 * [taylor]: Taking taylor expansion of 1/2 in K 49.950 * [backup-simplify]: Simplify 1/2 into 1/2 49.950 * [taylor]: Taking taylor expansion of K in K 49.950 * [backup-simplify]: Simplify 0 into 0 49.950 * [backup-simplify]: Simplify 1 into 1 49.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.950 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.951 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 49.951 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.951 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 49.951 * [taylor]: Taking taylor expansion of 1/2 in J 49.951 * [backup-simplify]: Simplify 1/2 into 1/2 49.951 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 49.951 * [taylor]: Taking taylor expansion of J in J 49.951 * [backup-simplify]: Simplify 0 into 0 49.951 * [backup-simplify]: Simplify 1 into 1 49.951 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.951 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.951 * [taylor]: Taking taylor expansion of 1/2 in J 49.951 * [backup-simplify]: Simplify 1/2 into 1/2 49.951 * [taylor]: Taking taylor expansion of K in J 49.951 * [backup-simplify]: Simplify K into K 49.951 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.951 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.951 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.951 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.951 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.951 * [backup-simplify]: Simplify (- 0) into 0 49.951 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.951 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 49.951 * [taylor]: Taking taylor expansion of 0 in K 49.952 * [backup-simplify]: Simplify 0 into 0 49.952 * [taylor]: Taking taylor expansion of 0 in J 49.952 * [backup-simplify]: Simplify 0 into 0 49.952 * [backup-simplify]: Simplify 0 into 0 49.952 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 49.952 * [taylor]: Taking taylor expansion of 0 in J 49.952 * [backup-simplify]: Simplify 0 into 0 49.952 * [backup-simplify]: Simplify 0 into 0 49.952 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 49.952 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 49.953 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 49.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.954 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 49.954 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.955 * [backup-simplify]: Simplify (- 0) into 0 49.955 * [backup-simplify]: Simplify (+ 0 0) into 0 49.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 49.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 49.957 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.958 * [backup-simplify]: Simplify (+ 0 1) into 1 49.958 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 49.958 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 49.958 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.958 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.958 * [taylor]: Taking taylor expansion of 1/2 in K 49.958 * [backup-simplify]: Simplify 1/2 into 1/2 49.958 * [taylor]: Taking taylor expansion of K in K 49.958 * [backup-simplify]: Simplify 0 into 0 49.958 * [backup-simplify]: Simplify 1 into 1 49.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.959 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.959 * [taylor]: Taking taylor expansion of J in K 49.959 * [backup-simplify]: Simplify J into J 49.959 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.959 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 49.959 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.959 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.959 * [taylor]: Taking taylor expansion of 1/2 in J 49.959 * [backup-simplify]: Simplify 1/2 into 1/2 49.959 * [taylor]: Taking taylor expansion of K in J 49.959 * [backup-simplify]: Simplify K into K 49.959 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.959 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.959 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.959 * [taylor]: Taking taylor expansion of J in J 49.959 * [backup-simplify]: Simplify 0 into 0 49.959 * [backup-simplify]: Simplify 1 into 1 49.959 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.959 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.959 * [backup-simplify]: Simplify (- 0) into 0 49.959 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.959 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.960 * [backup-simplify]: Simplify (+ 0) into 0 49.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.960 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.961 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.961 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.961 * [backup-simplify]: Simplify (- 0) into 0 49.961 * [backup-simplify]: Simplify (+ 0 0) into 0 49.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 49.962 * [backup-simplify]: Simplify 0 into 0 49.962 * [taylor]: Taking taylor expansion of 0 in J 49.962 * [backup-simplify]: Simplify 0 into 0 49.962 * [backup-simplify]: Simplify 0 into 0 49.962 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 49.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 49.963 * [taylor]: Taking taylor expansion of 0 in J 49.963 * [backup-simplify]: Simplify 0 into 0 49.963 * [backup-simplify]: Simplify 0 into 0 49.963 * [backup-simplify]: Simplify 0 into 0 49.963 * [backup-simplify]: Simplify 0 into 0 49.963 * [backup-simplify]: Simplify (+ 0) into 0 49.964 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.964 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.965 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.966 * [backup-simplify]: Simplify (- 0) into 0 49.966 * [backup-simplify]: Simplify (+ 0 0) into 0 49.966 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 49.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 49.967 * [backup-simplify]: Simplify 0 into 0 49.967 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 49.968 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 49.968 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 49.968 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 49.968 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 49.968 * [taylor]: Taking taylor expansion of 1 in J 49.968 * [backup-simplify]: Simplify 1 into 1 49.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 49.968 * [taylor]: Taking taylor expansion of 1/4 in J 49.968 * [backup-simplify]: Simplify 1/4 into 1/4 49.968 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 49.968 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.968 * [taylor]: Taking taylor expansion of J in J 49.968 * [backup-simplify]: Simplify 0 into 0 49.968 * [backup-simplify]: Simplify 1 into 1 49.968 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 49.968 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 49.968 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.968 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.969 * [taylor]: Taking taylor expansion of -1/2 in J 49.969 * [backup-simplify]: Simplify -1/2 into -1/2 49.969 * [taylor]: Taking taylor expansion of K in J 49.969 * [backup-simplify]: Simplify K into K 49.969 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.969 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.969 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.969 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.969 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.969 * [backup-simplify]: Simplify (- 0) into 0 49.970 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.970 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.970 * [taylor]: Taking taylor expansion of U in J 49.970 * [backup-simplify]: Simplify U into U 49.970 * [backup-simplify]: Simplify (* 1 1) into 1 49.970 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.970 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.970 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.971 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 49.971 * [backup-simplify]: Simplify (+ 1 0) into 1 49.971 * [backup-simplify]: Simplify (sqrt 1) into 1 49.972 * [backup-simplify]: Simplify (+ 0 0) into 0 49.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.973 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 49.973 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 49.973 * [taylor]: Taking taylor expansion of 1 in K 49.973 * [backup-simplify]: Simplify 1 into 1 49.973 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 49.973 * [taylor]: Taking taylor expansion of 1/4 in K 49.973 * [backup-simplify]: Simplify 1/4 into 1/4 49.973 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 49.973 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.973 * [taylor]: Taking taylor expansion of J in K 49.973 * [backup-simplify]: Simplify J into J 49.973 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 49.973 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 49.973 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.973 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.973 * [taylor]: Taking taylor expansion of -1/2 in K 49.973 * [backup-simplify]: Simplify -1/2 into -1/2 49.973 * [taylor]: Taking taylor expansion of K in K 49.973 * [backup-simplify]: Simplify 0 into 0 49.973 * [backup-simplify]: Simplify 1 into 1 49.974 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.974 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.974 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.974 * [taylor]: Taking taylor expansion of U in K 49.974 * [backup-simplify]: Simplify U into U 49.974 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.974 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.974 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.974 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 49.974 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 49.975 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 49.975 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 49.976 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 49.976 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.976 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.976 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 49.977 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 49.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 49.978 * [backup-simplify]: Simplify (+ 0 0) into 0 49.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 49.979 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.979 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.979 * [taylor]: Taking taylor expansion of 1 in U 49.979 * [backup-simplify]: Simplify 1 into 1 49.979 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.979 * [taylor]: Taking taylor expansion of 1/4 in U 49.979 * [backup-simplify]: Simplify 1/4 into 1/4 49.979 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.979 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.979 * [taylor]: Taking taylor expansion of J in U 49.979 * [backup-simplify]: Simplify J into J 49.979 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.979 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.979 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.979 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.979 * [taylor]: Taking taylor expansion of -1/2 in U 49.979 * [backup-simplify]: Simplify -1/2 into -1/2 49.979 * [taylor]: Taking taylor expansion of K in U 49.979 * [backup-simplify]: Simplify K into K 49.979 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.979 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.980 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.980 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.980 * [backup-simplify]: Simplify (- 0) into 0 49.980 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.980 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.980 * [taylor]: Taking taylor expansion of U in U 49.980 * [backup-simplify]: Simplify 0 into 0 49.980 * [backup-simplify]: Simplify 1 into 1 49.980 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.981 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.981 * [backup-simplify]: Simplify (* 1 1) into 1 49.981 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.981 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.982 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.982 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.982 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.982 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.983 * [backup-simplify]: Simplify (+ 0) into 0 49.984 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.986 * [backup-simplify]: Simplify (- 0) into 0 49.986 * [backup-simplify]: Simplify (+ 0 0) into 0 49.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.987 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.987 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.988 * [backup-simplify]: Simplify (+ 0 0) into 0 49.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.989 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 49.989 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 49.989 * [taylor]: Taking taylor expansion of 1 in U 49.989 * [backup-simplify]: Simplify 1 into 1 49.989 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 49.989 * [taylor]: Taking taylor expansion of 1/4 in U 49.989 * [backup-simplify]: Simplify 1/4 into 1/4 49.989 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 49.989 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.989 * [taylor]: Taking taylor expansion of J in U 49.989 * [backup-simplify]: Simplify J into J 49.989 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 49.989 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 49.989 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 49.989 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 49.989 * [taylor]: Taking taylor expansion of -1/2 in U 49.989 * [backup-simplify]: Simplify -1/2 into -1/2 49.989 * [taylor]: Taking taylor expansion of K in U 49.989 * [backup-simplify]: Simplify K into K 49.989 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.989 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.989 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 49.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 49.989 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 49.990 * [backup-simplify]: Simplify (- 0) into 0 49.990 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 49.990 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.990 * [taylor]: Taking taylor expansion of U in U 49.990 * [backup-simplify]: Simplify 0 into 0 49.990 * [backup-simplify]: Simplify 1 into 1 49.990 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 49.991 * [backup-simplify]: Simplify (* 1 1) into 1 49.991 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 49.991 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 49.991 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.991 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 49.992 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.992 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.993 * [backup-simplify]: Simplify (+ 0) into 0 49.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 49.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 49.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 49.995 * [backup-simplify]: Simplify (- 0) into 0 49.995 * [backup-simplify]: Simplify (+ 0 0) into 0 49.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 49.996 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 49.997 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 49.997 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 49.998 * [backup-simplify]: Simplify (+ 0 0) into 0 49.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 49.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 49.998 * [taylor]: Taking taylor expansion of 1/2 in K 49.998 * [backup-simplify]: Simplify 1/2 into 1/2 49.998 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 49.998 * [taylor]: Taking taylor expansion of J in K 49.998 * [backup-simplify]: Simplify J into J 49.998 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 49.998 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 49.998 * [taylor]: Taking taylor expansion of -1/2 in K 49.998 * [backup-simplify]: Simplify -1/2 into -1/2 49.998 * [taylor]: Taking taylor expansion of K in K 49.998 * [backup-simplify]: Simplify 0 into 0 49.998 * [backup-simplify]: Simplify 1 into 1 49.999 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 49.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 49.999 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 49.999 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 49.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 49.999 * [taylor]: Taking taylor expansion of 1/2 in J 49.999 * [backup-simplify]: Simplify 1/2 into 1/2 49.999 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 49.999 * [taylor]: Taking taylor expansion of J in J 49.999 * [backup-simplify]: Simplify 0 into 0 49.999 * [backup-simplify]: Simplify 1 into 1 49.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 49.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 49.999 * [taylor]: Taking taylor expansion of -1/2 in J 49.999 * [backup-simplify]: Simplify -1/2 into -1/2 49.999 * [taylor]: Taking taylor expansion of K in J 49.999 * [backup-simplify]: Simplify K into K 49.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 49.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.000 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.000 * [backup-simplify]: Simplify (- 0) into 0 50.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.000 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 50.000 * [taylor]: Taking taylor expansion of 0 in K 50.000 * [backup-simplify]: Simplify 0 into 0 50.001 * [taylor]: Taking taylor expansion of 0 in J 50.001 * [backup-simplify]: Simplify 0 into 0 50.001 * [backup-simplify]: Simplify 0 into 0 50.001 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 50.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 50.001 * [taylor]: Taking taylor expansion of 0 in J 50.002 * [backup-simplify]: Simplify 0 into 0 50.002 * [backup-simplify]: Simplify 0 into 0 50.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 50.002 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 50.002 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.005 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.007 * [backup-simplify]: Simplify (- 0) into 0 50.007 * [backup-simplify]: Simplify (+ 0 0) into 0 50.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.009 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 50.009 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 50.011 * [backup-simplify]: Simplify (+ 1 0) into 1 50.012 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 50.012 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 50.012 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.012 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.012 * [taylor]: Taking taylor expansion of -1/2 in K 50.012 * [backup-simplify]: Simplify -1/2 into -1/2 50.012 * [taylor]: Taking taylor expansion of K in K 50.012 * [backup-simplify]: Simplify 0 into 0 50.012 * [backup-simplify]: Simplify 1 into 1 50.012 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.012 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.012 * [taylor]: Taking taylor expansion of J in K 50.012 * [backup-simplify]: Simplify J into J 50.013 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.013 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 50.013 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.013 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.013 * [taylor]: Taking taylor expansion of -1/2 in J 50.013 * [backup-simplify]: Simplify -1/2 into -1/2 50.013 * [taylor]: Taking taylor expansion of K in J 50.013 * [backup-simplify]: Simplify K into K 50.013 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.013 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.013 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.013 * [taylor]: Taking taylor expansion of J in J 50.013 * [backup-simplify]: Simplify 0 into 0 50.013 * [backup-simplify]: Simplify 1 into 1 50.013 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.013 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.014 * [backup-simplify]: Simplify (- 0) into 0 50.014 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.014 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.014 * [backup-simplify]: Simplify (+ 0) into 0 50.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.015 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.017 * [backup-simplify]: Simplify (- 0) into 0 50.017 * [backup-simplify]: Simplify (+ 0 0) into 0 50.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 50.018 * [backup-simplify]: Simplify 0 into 0 50.018 * [taylor]: Taking taylor expansion of 0 in J 50.018 * [backup-simplify]: Simplify 0 into 0 50.018 * [backup-simplify]: Simplify 0 into 0 50.019 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 50.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 50.020 * [taylor]: Taking taylor expansion of 0 in J 50.020 * [backup-simplify]: Simplify 0 into 0 50.020 * [backup-simplify]: Simplify 0 into 0 50.020 * [backup-simplify]: Simplify 0 into 0 50.020 * [backup-simplify]: Simplify 0 into 0 50.021 * [backup-simplify]: Simplify (+ 0) into 0 50.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.023 * [backup-simplify]: Simplify (- 0) into 0 50.023 * [backup-simplify]: Simplify (+ 0 0) into 0 50.024 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 50.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 50.024 * [backup-simplify]: Simplify 0 into 0 50.025 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 50.025 * * * * [progress]: [ 2 / 4 ] generating series at (2) 50.026 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 50.026 * [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 50.026 * [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 50.026 * [taylor]: Taking taylor expansion of -2 in J 50.026 * [backup-simplify]: Simplify -2 into -2 50.026 * [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 50.026 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 50.026 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 50.026 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 50.026 * [taylor]: Taking taylor expansion of 1/2 in J 50.026 * [backup-simplify]: Simplify 1/2 into 1/2 50.026 * [taylor]: Taking taylor expansion of K in J 50.026 * [backup-simplify]: Simplify K into K 50.026 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.026 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.026 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.026 * [taylor]: Taking taylor expansion of J in J 50.026 * [backup-simplify]: Simplify 0 into 0 50.026 * [backup-simplify]: Simplify 1 into 1 50.026 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 50.027 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 50.027 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 50.027 * [taylor]: Taking taylor expansion of 1/4 in J 50.027 * [backup-simplify]: Simplify 1/4 into 1/4 50.027 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 50.027 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.027 * [taylor]: Taking taylor expansion of U in J 50.027 * [backup-simplify]: Simplify U into U 50.027 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 50.027 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 50.027 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 50.027 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 50.027 * [taylor]: Taking taylor expansion of 1/2 in J 50.027 * [backup-simplify]: Simplify 1/2 into 1/2 50.027 * [taylor]: Taking taylor expansion of K in J 50.027 * [backup-simplify]: Simplify K into K 50.027 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.027 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.027 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.028 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.028 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.028 * [backup-simplify]: Simplify (- 0) into 0 50.029 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.029 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.029 * [taylor]: Taking taylor expansion of J in J 50.029 * [backup-simplify]: Simplify 0 into 0 50.029 * [backup-simplify]: Simplify 1 into 1 50.029 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.029 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.029 * [backup-simplify]: Simplify (* 1 1) into 1 50.029 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 50.030 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 50.030 * [taylor]: Taking taylor expansion of 1 in J 50.030 * [backup-simplify]: Simplify 1 into 1 50.030 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 50.030 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 50.031 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 50.031 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.032 * [backup-simplify]: Simplify (+ 0) into 0 50.032 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.034 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.035 * [backup-simplify]: Simplify (- 0) into 0 50.035 * [backup-simplify]: Simplify (+ 0 0) into 0 50.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.036 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 50.036 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 50.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 50.037 * [backup-simplify]: Simplify (+ 0 0) into 0 50.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 50.038 * [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 50.038 * [taylor]: Taking taylor expansion of -2 in K 50.038 * [backup-simplify]: Simplify -2 into -2 50.038 * [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 50.038 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 50.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.038 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.038 * [taylor]: Taking taylor expansion of 1/2 in K 50.038 * [backup-simplify]: Simplify 1/2 into 1/2 50.038 * [taylor]: Taking taylor expansion of K in K 50.038 * [backup-simplify]: Simplify 0 into 0 50.038 * [backup-simplify]: Simplify 1 into 1 50.039 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.039 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.039 * [taylor]: Taking taylor expansion of J in K 50.040 * [backup-simplify]: Simplify J into J 50.040 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 50.040 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 50.040 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 50.040 * [taylor]: Taking taylor expansion of 1/4 in K 50.040 * [backup-simplify]: Simplify 1/4 into 1/4 50.040 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 50.040 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.040 * [taylor]: Taking taylor expansion of U in K 50.040 * [backup-simplify]: Simplify U into U 50.040 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 50.040 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 50.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.040 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.040 * [taylor]: Taking taylor expansion of 1/2 in K 50.040 * [backup-simplify]: Simplify 1/2 into 1/2 50.040 * [taylor]: Taking taylor expansion of K in K 50.040 * [backup-simplify]: Simplify 0 into 0 50.040 * [backup-simplify]: Simplify 1 into 1 50.041 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.041 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.041 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.041 * [taylor]: Taking taylor expansion of J in K 50.041 * [backup-simplify]: Simplify J into J 50.041 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.042 * [backup-simplify]: Simplify (* 1 1) into 1 50.042 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.042 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 50.042 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 50.042 * [taylor]: Taking taylor expansion of 1 in K 50.042 * [backup-simplify]: Simplify 1 into 1 50.042 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 50.043 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 50.043 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 50.043 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.043 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.044 * [backup-simplify]: Simplify (+ 0) into 0 50.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 50.045 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 50.046 * [backup-simplify]: Simplify (+ 0 0) into 0 50.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 50.047 * [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 50.047 * [taylor]: Taking taylor expansion of -2 in U 50.047 * [backup-simplify]: Simplify -2 into -2 50.047 * [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 50.047 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 50.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.047 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.047 * [taylor]: Taking taylor expansion of 1/2 in U 50.047 * [backup-simplify]: Simplify 1/2 into 1/2 50.047 * [taylor]: Taking taylor expansion of K in U 50.047 * [backup-simplify]: Simplify K into K 50.047 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.047 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.047 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.047 * [taylor]: Taking taylor expansion of J in U 50.047 * [backup-simplify]: Simplify J into J 50.047 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.047 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.047 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.047 * [taylor]: Taking taylor expansion of 1/4 in U 50.047 * [backup-simplify]: Simplify 1/4 into 1/4 50.047 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.047 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.047 * [taylor]: Taking taylor expansion of U in U 50.047 * [backup-simplify]: Simplify 0 into 0 50.047 * [backup-simplify]: Simplify 1 into 1 50.047 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.047 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.048 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.048 * [taylor]: Taking taylor expansion of 1/2 in U 50.048 * [backup-simplify]: Simplify 1/2 into 1/2 50.048 * [taylor]: Taking taylor expansion of K in U 50.048 * [backup-simplify]: Simplify K into K 50.048 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.048 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.048 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.048 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.048 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.048 * [backup-simplify]: Simplify (- 0) into 0 50.049 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.049 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.049 * [taylor]: Taking taylor expansion of J in U 50.049 * [backup-simplify]: Simplify J into J 50.049 * [backup-simplify]: Simplify (* 1 1) into 1 50.049 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.049 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.049 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.050 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.050 * [taylor]: Taking taylor expansion of 1 in U 50.050 * [backup-simplify]: Simplify 1 into 1 50.050 * [backup-simplify]: Simplify (+ 0 1) into 1 50.051 * [backup-simplify]: Simplify (sqrt 1) into 1 50.051 * [backup-simplify]: Simplify (+ 0 0) into 0 50.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.052 * [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 50.052 * [taylor]: Taking taylor expansion of -2 in U 50.052 * [backup-simplify]: Simplify -2 into -2 50.052 * [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 50.052 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 50.052 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.052 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.052 * [taylor]: Taking taylor expansion of 1/2 in U 50.052 * [backup-simplify]: Simplify 1/2 into 1/2 50.052 * [taylor]: Taking taylor expansion of K in U 50.052 * [backup-simplify]: Simplify K into K 50.052 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.052 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.052 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.052 * [taylor]: Taking taylor expansion of J in U 50.052 * [backup-simplify]: Simplify J into J 50.052 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.052 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.052 * [taylor]: Taking taylor expansion of 1/4 in U 50.052 * [backup-simplify]: Simplify 1/4 into 1/4 50.052 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.052 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.052 * [taylor]: Taking taylor expansion of U in U 50.052 * [backup-simplify]: Simplify 0 into 0 50.052 * [backup-simplify]: Simplify 1 into 1 50.052 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.052 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.052 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.052 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.052 * [taylor]: Taking taylor expansion of 1/2 in U 50.052 * [backup-simplify]: Simplify 1/2 into 1/2 50.052 * [taylor]: Taking taylor expansion of K in U 50.052 * [backup-simplify]: Simplify K into K 50.052 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.052 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.052 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.052 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.052 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.053 * [backup-simplify]: Simplify (- 0) into 0 50.053 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.053 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.053 * [taylor]: Taking taylor expansion of J in U 50.053 * [backup-simplify]: Simplify J into J 50.053 * [backup-simplify]: Simplify (* 1 1) into 1 50.053 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.053 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.053 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.053 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.053 * [taylor]: Taking taylor expansion of 1 in U 50.053 * [backup-simplify]: Simplify 1 into 1 50.054 * [backup-simplify]: Simplify (+ 0 1) into 1 50.054 * [backup-simplify]: Simplify (sqrt 1) into 1 50.054 * [backup-simplify]: Simplify (+ 0 0) into 0 50.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.055 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.055 * [backup-simplify]: Simplify (- 0) into 0 50.055 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 50.055 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 50.055 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 50.055 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 50.055 * [taylor]: Taking taylor expansion of -2 in K 50.055 * [backup-simplify]: Simplify -2 into -2 50.055 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 50.055 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.055 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.055 * [taylor]: Taking taylor expansion of 1/2 in K 50.055 * [backup-simplify]: Simplify 1/2 into 1/2 50.055 * [taylor]: Taking taylor expansion of K in K 50.055 * [backup-simplify]: Simplify 0 into 0 50.055 * [backup-simplify]: Simplify 1 into 1 50.056 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.056 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.056 * [taylor]: Taking taylor expansion of J in K 50.056 * [backup-simplify]: Simplify J into J 50.056 * [backup-simplify]: Simplify (* 1 J) into J 50.056 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 50.056 * [taylor]: Taking taylor expansion of (* -2 J) in J 50.056 * [taylor]: Taking taylor expansion of -2 in J 50.056 * [backup-simplify]: Simplify -2 into -2 50.056 * [taylor]: Taking taylor expansion of J in J 50.056 * [backup-simplify]: Simplify 0 into 0 50.056 * [backup-simplify]: Simplify 1 into 1 50.057 * [backup-simplify]: Simplify (+ 0) into 0 50.057 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.058 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.058 * [backup-simplify]: Simplify (- 0) into 0 50.058 * [backup-simplify]: Simplify (+ 0 0) into 0 50.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 50.059 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 50.059 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 50.059 * [taylor]: Taking taylor expansion of 0 in K 50.059 * [backup-simplify]: Simplify 0 into 0 50.059 * [taylor]: Taking taylor expansion of 0 in J 50.059 * [backup-simplify]: Simplify 0 into 0 50.060 * [backup-simplify]: Simplify (+ 0) into 0 50.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 50.060 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 50.060 * [taylor]: Taking taylor expansion of 0 in J 50.060 * [backup-simplify]: Simplify 0 into 0 50.060 * [backup-simplify]: Simplify (* -2 0) into 0 50.060 * [backup-simplify]: Simplify 0 into 0 50.061 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.061 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 50.062 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.063 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 50.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.064 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.065 * [backup-simplify]: Simplify (- 0) into 0 50.065 * [backup-simplify]: Simplify (+ 0 0) into 0 50.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 50.066 * [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))) 50.066 * [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)))) 50.066 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 50.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 50.066 * [taylor]: Taking taylor expansion of 1/4 in K 50.066 * [backup-simplify]: Simplify 1/4 into 1/4 50.066 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 50.066 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 50.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.066 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.066 * [taylor]: Taking taylor expansion of 1/2 in K 50.067 * [backup-simplify]: Simplify 1/2 into 1/2 50.067 * [taylor]: Taking taylor expansion of K in K 50.067 * [backup-simplify]: Simplify 0 into 0 50.067 * [backup-simplify]: Simplify 1 into 1 50.067 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.067 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.067 * [taylor]: Taking taylor expansion of J in K 50.067 * [backup-simplify]: Simplify J into J 50.067 * [backup-simplify]: Simplify (* 1 J) into J 50.067 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 50.067 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 50.068 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 50.068 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 50.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 50.068 * [taylor]: Taking taylor expansion of 1/4 in J 50.068 * [backup-simplify]: Simplify 1/4 into 1/4 50.068 * [taylor]: Taking taylor expansion of (/ 1 J) in J 50.068 * [taylor]: Taking taylor expansion of J in J 50.068 * [backup-simplify]: Simplify 0 into 0 50.068 * [backup-simplify]: Simplify 1 into 1 50.068 * [backup-simplify]: Simplify (/ 1 1) into 1 50.068 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 50.068 * [backup-simplify]: Simplify (- 1/4) into -1/4 50.068 * [backup-simplify]: Simplify -1/4 into -1/4 50.068 * [taylor]: Taking taylor expansion of 0 in J 50.068 * [backup-simplify]: Simplify 0 into 0 50.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 50.070 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 50.070 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 50.070 * [taylor]: Taking taylor expansion of 1/4 in J 50.070 * [backup-simplify]: Simplify 1/4 into 1/4 50.070 * [taylor]: Taking taylor expansion of J in J 50.070 * [backup-simplify]: Simplify 0 into 0 50.070 * [backup-simplify]: Simplify 1 into 1 50.070 * [backup-simplify]: Simplify 0 into 0 50.070 * [backup-simplify]: Simplify 0 into 0 50.070 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 50.070 * [backup-simplify]: Simplify -2 into -2 50.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.071 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.073 * [backup-simplify]: Simplify (+ 0) into 0 50.073 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.074 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.075 * [backup-simplify]: Simplify (- 0) into 0 50.075 * [backup-simplify]: Simplify (+ 0 0) into 0 50.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.075 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 50.075 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 50.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 50.076 * [backup-simplify]: Simplify (+ 0 0) into 0 50.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 50.077 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.078 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 50.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.080 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.080 * [backup-simplify]: Simplify (- 0) into 0 50.080 * [backup-simplify]: Simplify (+ 0 0) into 0 50.080 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.081 * [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 50.082 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 50.082 * [taylor]: Taking taylor expansion of 0 in K 50.082 * [backup-simplify]: Simplify 0 into 0 50.082 * [taylor]: Taking taylor expansion of 0 in J 50.082 * [backup-simplify]: Simplify 0 into 0 50.082 * [backup-simplify]: Simplify (+ 0) into 0 50.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 50.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 50.083 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 50.083 * [backup-simplify]: Simplify (- 0) into 0 50.083 * [taylor]: Taking taylor expansion of 0 in J 50.083 * [backup-simplify]: Simplify 0 into 0 50.083 * [taylor]: Taking taylor expansion of 0 in J 50.083 * [backup-simplify]: Simplify 0 into 0 50.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 50.084 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 50.086 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 50.086 * [taylor]: Taking taylor expansion of 0 in J 50.086 * [backup-simplify]: Simplify 0 into 0 50.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 50.087 * [backup-simplify]: Simplify (- 0) into 0 50.087 * [backup-simplify]: Simplify 0 into 0 50.087 * [backup-simplify]: Simplify 0 into 0 50.087 * [backup-simplify]: Simplify (* 1/4 0) into 0 50.087 * [backup-simplify]: Simplify 0 into 0 50.087 * [backup-simplify]: Simplify 0 into 0 50.087 * [backup-simplify]: Simplify 0 into 0 50.088 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 50.088 * [backup-simplify]: Simplify 0 into 0 50.088 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 50.089 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 50.089 * [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 50.089 * [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 50.089 * [taylor]: Taking taylor expansion of -2 in J 50.089 * [backup-simplify]: Simplify -2 into -2 50.089 * [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 50.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 50.089 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 50.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 50.089 * [taylor]: Taking taylor expansion of 1/4 in J 50.089 * [backup-simplify]: Simplify 1/4 into 1/4 50.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 50.089 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.089 * [taylor]: Taking taylor expansion of J in J 50.089 * [backup-simplify]: Simplify 0 into 0 50.089 * [backup-simplify]: Simplify 1 into 1 50.089 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 50.089 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.089 * [taylor]: Taking taylor expansion of U in J 50.089 * [backup-simplify]: Simplify U into U 50.089 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 50.089 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.089 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.089 * [taylor]: Taking taylor expansion of 1/2 in J 50.090 * [backup-simplify]: Simplify 1/2 into 1/2 50.090 * [taylor]: Taking taylor expansion of K in J 50.090 * [backup-simplify]: Simplify K into K 50.090 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.090 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.090 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.090 * [backup-simplify]: Simplify (- 0) into 0 50.090 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.090 * [backup-simplify]: Simplify (* 1 1) into 1 50.090 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.091 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.091 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 50.091 * [taylor]: Taking taylor expansion of 1 in J 50.091 * [backup-simplify]: Simplify 1 into 1 50.091 * [backup-simplify]: Simplify (+ 0 1) into 1 50.091 * [backup-simplify]: Simplify (sqrt 1) into 1 50.091 * [backup-simplify]: Simplify (+ 0 0) into 0 50.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.092 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 50.092 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.092 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.092 * [taylor]: Taking taylor expansion of 1/2 in J 50.092 * [backup-simplify]: Simplify 1/2 into 1/2 50.092 * [taylor]: Taking taylor expansion of K in J 50.092 * [backup-simplify]: Simplify K into K 50.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.092 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.092 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.092 * [taylor]: Taking taylor expansion of J in J 50.092 * [backup-simplify]: Simplify 0 into 0 50.092 * [backup-simplify]: Simplify 1 into 1 50.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.092 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.093 * [backup-simplify]: Simplify (- 0) into 0 50.093 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.093 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.093 * [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 50.093 * [taylor]: Taking taylor expansion of -2 in K 50.093 * [backup-simplify]: Simplify -2 into -2 50.093 * [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 50.093 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 50.093 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 50.093 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 50.093 * [taylor]: Taking taylor expansion of 1/4 in K 50.093 * [backup-simplify]: Simplify 1/4 into 1/4 50.093 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 50.093 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.093 * [taylor]: Taking taylor expansion of J in K 50.093 * [backup-simplify]: Simplify J into J 50.093 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 50.093 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.093 * [taylor]: Taking taylor expansion of U in K 50.093 * [backup-simplify]: Simplify U into U 50.093 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 50.093 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.093 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.093 * [taylor]: Taking taylor expansion of 1/2 in K 50.093 * [backup-simplify]: Simplify 1/2 into 1/2 50.093 * [taylor]: Taking taylor expansion of K in K 50.093 * [backup-simplify]: Simplify 0 into 0 50.093 * [backup-simplify]: Simplify 1 into 1 50.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.093 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.093 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.093 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.094 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.094 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.094 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 50.094 * [taylor]: Taking taylor expansion of 1 in K 50.094 * [backup-simplify]: Simplify 1 into 1 50.094 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 50.094 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 50.094 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 50.094 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.095 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.095 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.095 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.096 * [backup-simplify]: Simplify (+ 0 0) into 0 50.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 50.096 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 50.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.096 * [taylor]: Taking taylor expansion of 1/2 in K 50.096 * [backup-simplify]: Simplify 1/2 into 1/2 50.096 * [taylor]: Taking taylor expansion of K in K 50.096 * [backup-simplify]: Simplify 0 into 0 50.096 * [backup-simplify]: Simplify 1 into 1 50.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.097 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.097 * [taylor]: Taking taylor expansion of J in K 50.097 * [backup-simplify]: Simplify J into J 50.097 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.097 * [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 50.097 * [taylor]: Taking taylor expansion of -2 in U 50.097 * [backup-simplify]: Simplify -2 into -2 50.097 * [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 50.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.097 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.097 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.097 * [taylor]: Taking taylor expansion of 1/4 in U 50.097 * [backup-simplify]: Simplify 1/4 into 1/4 50.097 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.097 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.097 * [taylor]: Taking taylor expansion of J in U 50.097 * [backup-simplify]: Simplify J into J 50.097 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.097 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.097 * [taylor]: Taking taylor expansion of U in U 50.097 * [backup-simplify]: Simplify 0 into 0 50.097 * [backup-simplify]: Simplify 1 into 1 50.097 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.097 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.097 * [taylor]: Taking taylor expansion of 1/2 in U 50.097 * [backup-simplify]: Simplify 1/2 into 1/2 50.097 * [taylor]: Taking taylor expansion of K in U 50.097 * [backup-simplify]: Simplify K into K 50.097 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.097 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.097 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.097 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.098 * [backup-simplify]: Simplify (- 0) into 0 50.098 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.098 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.098 * [backup-simplify]: Simplify (* 1 1) into 1 50.098 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.098 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.098 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.098 * [taylor]: Taking taylor expansion of 1 in U 50.098 * [backup-simplify]: Simplify 1 into 1 50.098 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.098 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.099 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.099 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.099 * [backup-simplify]: Simplify (+ 0) into 0 50.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.100 * [backup-simplify]: Simplify (- 0) into 0 50.101 * [backup-simplify]: Simplify (+ 0 0) into 0 50.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.102 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.102 * [backup-simplify]: Simplify (+ 0 0) into 0 50.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.102 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 50.102 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.103 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.103 * [taylor]: Taking taylor expansion of 1/2 in U 50.103 * [backup-simplify]: Simplify 1/2 into 1/2 50.103 * [taylor]: Taking taylor expansion of K in U 50.103 * [backup-simplify]: Simplify K into K 50.103 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.103 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.103 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.103 * [taylor]: Taking taylor expansion of J in U 50.103 * [backup-simplify]: Simplify J into J 50.103 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.103 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.103 * [backup-simplify]: Simplify (- 0) into 0 50.103 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.103 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.103 * [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 50.103 * [taylor]: Taking taylor expansion of -2 in U 50.103 * [backup-simplify]: Simplify -2 into -2 50.103 * [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 50.103 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.103 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.103 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.103 * [taylor]: Taking taylor expansion of 1/4 in U 50.103 * [backup-simplify]: Simplify 1/4 into 1/4 50.103 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.103 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.103 * [taylor]: Taking taylor expansion of J in U 50.103 * [backup-simplify]: Simplify J into J 50.103 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.103 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.104 * [taylor]: Taking taylor expansion of U in U 50.104 * [backup-simplify]: Simplify 0 into 0 50.104 * [backup-simplify]: Simplify 1 into 1 50.104 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.104 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.104 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.104 * [taylor]: Taking taylor expansion of 1/2 in U 50.104 * [backup-simplify]: Simplify 1/2 into 1/2 50.104 * [taylor]: Taking taylor expansion of K in U 50.104 * [backup-simplify]: Simplify K into K 50.104 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.104 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.104 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.104 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.104 * [backup-simplify]: Simplify (- 0) into 0 50.104 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.104 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.104 * [backup-simplify]: Simplify (* 1 1) into 1 50.105 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.105 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.105 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.105 * [taylor]: Taking taylor expansion of 1 in U 50.105 * [backup-simplify]: Simplify 1 into 1 50.105 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.105 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.105 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.105 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.106 * [backup-simplify]: Simplify (+ 0) into 0 50.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.106 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.107 * [backup-simplify]: Simplify (- 0) into 0 50.107 * [backup-simplify]: Simplify (+ 0 0) into 0 50.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.108 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.109 * [backup-simplify]: Simplify (+ 0 0) into 0 50.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.109 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 50.109 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.109 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.109 * [taylor]: Taking taylor expansion of 1/2 in U 50.109 * [backup-simplify]: Simplify 1/2 into 1/2 50.109 * [taylor]: Taking taylor expansion of K in U 50.109 * [backup-simplify]: Simplify K into K 50.109 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.109 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.109 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.109 * [taylor]: Taking taylor expansion of J in U 50.109 * [backup-simplify]: Simplify J into J 50.109 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.109 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.110 * [backup-simplify]: Simplify (- 0) into 0 50.110 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.110 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.110 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 50.110 * [backup-simplify]: Simplify (* -2 1/2) into -1 50.110 * [taylor]: Taking taylor expansion of -1 in K 50.110 * [backup-simplify]: Simplify -1 into -1 50.110 * [taylor]: Taking taylor expansion of -1 in J 50.110 * [backup-simplify]: Simplify -1 into -1 50.111 * [backup-simplify]: Simplify (+ 0) into 0 50.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.112 * [backup-simplify]: Simplify (- 0) into 0 50.112 * [backup-simplify]: Simplify (+ 0 0) into 0 50.112 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 50.112 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 50.113 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 50.113 * [taylor]: Taking taylor expansion of 0 in K 50.113 * [backup-simplify]: Simplify 0 into 0 50.113 * [taylor]: Taking taylor expansion of 0 in J 50.113 * [backup-simplify]: Simplify 0 into 0 50.113 * [taylor]: Taking taylor expansion of 0 in J 50.113 * [backup-simplify]: Simplify 0 into 0 50.113 * [backup-simplify]: Simplify -1 into -1 50.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.114 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.114 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.115 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.115 * [backup-simplify]: Simplify (- 0) into 0 50.115 * [backup-simplify]: Simplify (+ 0 0) into 0 50.116 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.116 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.119 * [backup-simplify]: Simplify (- 0) into 0 50.120 * [backup-simplify]: Simplify (+ 0 0) into 0 50.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.123 * [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))))) into 0 50.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.124 * [backup-simplify]: Simplify (+ 0 1) into 1 50.125 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 50.126 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 50.127 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 50.127 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 50.127 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 50.127 * [taylor]: Taking taylor expansion of 2 in K 50.127 * [backup-simplify]: Simplify 2 into 2 50.127 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 50.127 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 50.127 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.127 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.127 * [taylor]: Taking taylor expansion of 1/2 in K 50.127 * [backup-simplify]: Simplify 1/2 into 1/2 50.127 * [taylor]: Taking taylor expansion of K in K 50.127 * [backup-simplify]: Simplify 0 into 0 50.127 * [backup-simplify]: Simplify 1 into 1 50.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.128 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.128 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.128 * [taylor]: Taking taylor expansion of J in K 50.128 * [backup-simplify]: Simplify J into J 50.128 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.128 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.128 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 50.129 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 50.129 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 50.129 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 50.129 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 50.129 * [taylor]: Taking taylor expansion of 2 in J 50.129 * [backup-simplify]: Simplify 2 into 2 50.129 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 50.129 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 50.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.129 * [taylor]: Taking taylor expansion of 1/2 in J 50.129 * [backup-simplify]: Simplify 1/2 into 1/2 50.129 * [taylor]: Taking taylor expansion of K in J 50.129 * [backup-simplify]: Simplify K into K 50.129 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.129 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.129 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.129 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.130 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.130 * [backup-simplify]: Simplify (- 0) into 0 50.130 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.130 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.130 * [taylor]: Taking taylor expansion of J in J 50.130 * [backup-simplify]: Simplify 0 into 0 50.130 * [backup-simplify]: Simplify 1 into 1 50.130 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.131 * [backup-simplify]: Simplify (* 1 1) into 1 50.131 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 50.131 * [backup-simplify]: Simplify (+ 0) into 0 50.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.132 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.133 * [backup-simplify]: Simplify (- 0) into 0 50.134 * [backup-simplify]: Simplify (+ 0 0) into 0 50.134 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 50.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.136 * [backup-simplify]: Simplify (- 0) into 0 50.136 * [backup-simplify]: Simplify 0 into 0 50.136 * [taylor]: Taking taylor expansion of 0 in J 50.137 * [backup-simplify]: Simplify 0 into 0 50.137 * [taylor]: Taking taylor expansion of 0 in J 50.137 * [backup-simplify]: Simplify 0 into 0 50.137 * [backup-simplify]: Simplify 0 into 0 50.137 * [backup-simplify]: Simplify 0 into 0 50.137 * [backup-simplify]: Simplify 0 into 0 50.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.141 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.142 * [backup-simplify]: Simplify (- 0) into 0 50.142 * [backup-simplify]: Simplify (+ 0 0) into 0 50.142 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.143 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.144 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.148 * [backup-simplify]: Simplify (- 0) into 0 50.148 * [backup-simplify]: Simplify (+ 0 0) into 0 50.149 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 50.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.152 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.154 * [backup-simplify]: Simplify (+ 0 0) into 0 50.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 50.155 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 50.156 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 50.156 * [taylor]: Taking taylor expansion of 0 in K 50.156 * [backup-simplify]: Simplify 0 into 0 50.156 * [taylor]: Taking taylor expansion of 0 in J 50.156 * [backup-simplify]: Simplify 0 into 0 50.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.157 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.157 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.158 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 50.158 * [backup-simplify]: Simplify (- 0) into 0 50.158 * [taylor]: Taking taylor expansion of 0 in J 50.158 * [backup-simplify]: Simplify 0 into 0 50.158 * [taylor]: Taking taylor expansion of 0 in J 50.158 * [backup-simplify]: Simplify 0 into 0 50.158 * [taylor]: Taking taylor expansion of 0 in J 50.158 * [backup-simplify]: Simplify 0 into 0 50.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.160 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.161 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.162 * [backup-simplify]: Simplify (- 0) into 0 50.162 * [backup-simplify]: Simplify (+ 0 0) into 0 50.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.166 * [backup-simplify]: Simplify (- 0) into 0 50.166 * [backup-simplify]: Simplify 0 into 0 50.166 * [backup-simplify]: Simplify 0 into 0 50.166 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 50.168 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 50.168 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 50.168 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 50.168 * [taylor]: Taking taylor expansion of 2 in J 50.168 * [backup-simplify]: Simplify 2 into 2 50.168 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 50.168 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 50.168 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.168 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.168 * [taylor]: Taking taylor expansion of -1/2 in J 50.168 * [backup-simplify]: Simplify -1/2 into -1/2 50.168 * [taylor]: Taking taylor expansion of K in J 50.168 * [backup-simplify]: Simplify K into K 50.168 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.168 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.168 * [taylor]: Taking taylor expansion of J in J 50.168 * [backup-simplify]: Simplify 0 into 0 50.168 * [backup-simplify]: Simplify 1 into 1 50.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.169 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.169 * [backup-simplify]: Simplify (- 0) into 0 50.169 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.169 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.169 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 50.169 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 50.169 * [taylor]: Taking taylor expansion of 1 in J 50.169 * [backup-simplify]: Simplify 1 into 1 50.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 50.169 * [taylor]: Taking taylor expansion of 1/4 in J 50.169 * [backup-simplify]: Simplify 1/4 into 1/4 50.169 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 50.169 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.169 * [taylor]: Taking taylor expansion of J in J 50.170 * [backup-simplify]: Simplify 0 into 0 50.170 * [backup-simplify]: Simplify 1 into 1 50.170 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 50.170 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.170 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.170 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.170 * [taylor]: Taking taylor expansion of -1/2 in J 50.170 * [backup-simplify]: Simplify -1/2 into -1/2 50.170 * [taylor]: Taking taylor expansion of K in J 50.170 * [backup-simplify]: Simplify K into K 50.170 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.170 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.170 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.170 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.170 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.171 * [backup-simplify]: Simplify (- 0) into 0 50.171 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.171 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.171 * [taylor]: Taking taylor expansion of U in J 50.171 * [backup-simplify]: Simplify U into U 50.171 * [backup-simplify]: Simplify (* 1 1) into 1 50.171 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.171 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.172 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.172 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.172 * [backup-simplify]: Simplify (+ 1 0) into 1 50.173 * [backup-simplify]: Simplify (sqrt 1) into 1 50.173 * [backup-simplify]: Simplify (+ 0 0) into 0 50.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.174 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 50.174 * [taylor]: Taking taylor expansion of 2 in K 50.174 * [backup-simplify]: Simplify 2 into 2 50.174 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 50.174 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 50.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.174 * [taylor]: Taking taylor expansion of -1/2 in K 50.174 * [backup-simplify]: Simplify -1/2 into -1/2 50.174 * [taylor]: Taking taylor expansion of K in K 50.174 * [backup-simplify]: Simplify 0 into 0 50.174 * [backup-simplify]: Simplify 1 into 1 50.174 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.175 * [taylor]: Taking taylor expansion of J in K 50.175 * [backup-simplify]: Simplify J into J 50.175 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.175 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 50.175 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 50.175 * [taylor]: Taking taylor expansion of 1 in K 50.175 * [backup-simplify]: Simplify 1 into 1 50.175 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 50.175 * [taylor]: Taking taylor expansion of 1/4 in K 50.175 * [backup-simplify]: Simplify 1/4 into 1/4 50.175 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 50.175 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.175 * [taylor]: Taking taylor expansion of J in K 50.175 * [backup-simplify]: Simplify J into J 50.175 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 50.175 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.175 * [taylor]: Taking taylor expansion of -1/2 in K 50.175 * [backup-simplify]: Simplify -1/2 into -1/2 50.175 * [taylor]: Taking taylor expansion of K in K 50.175 * [backup-simplify]: Simplify 0 into 0 50.175 * [backup-simplify]: Simplify 1 into 1 50.176 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.176 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.176 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.176 * [taylor]: Taking taylor expansion of U in K 50.176 * [backup-simplify]: Simplify U into U 50.176 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.176 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.176 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.177 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.177 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 50.177 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 50.178 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 50.178 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.178 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.178 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 50.179 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 50.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 50.180 * [backup-simplify]: Simplify (+ 0 0) into 0 50.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 50.181 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 50.181 * [taylor]: Taking taylor expansion of 2 in U 50.181 * [backup-simplify]: Simplify 2 into 2 50.181 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 50.181 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 50.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.181 * [taylor]: Taking taylor expansion of -1/2 in U 50.181 * [backup-simplify]: Simplify -1/2 into -1/2 50.181 * [taylor]: Taking taylor expansion of K in U 50.181 * [backup-simplify]: Simplify K into K 50.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.181 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.181 * [taylor]: Taking taylor expansion of J in U 50.181 * [backup-simplify]: Simplify J into J 50.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.182 * [backup-simplify]: Simplify (- 0) into 0 50.182 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.182 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.182 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.182 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.182 * [taylor]: Taking taylor expansion of 1 in U 50.182 * [backup-simplify]: Simplify 1 into 1 50.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.182 * [taylor]: Taking taylor expansion of 1/4 in U 50.182 * [backup-simplify]: Simplify 1/4 into 1/4 50.182 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.182 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.182 * [taylor]: Taking taylor expansion of J in U 50.183 * [backup-simplify]: Simplify J into J 50.183 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.183 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.183 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.183 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.183 * [taylor]: Taking taylor expansion of -1/2 in U 50.183 * [backup-simplify]: Simplify -1/2 into -1/2 50.183 * [taylor]: Taking taylor expansion of K in U 50.183 * [backup-simplify]: Simplify K into K 50.183 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.183 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.183 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.184 * [backup-simplify]: Simplify (- 0) into 0 50.184 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.184 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.184 * [taylor]: Taking taylor expansion of U in U 50.184 * [backup-simplify]: Simplify 0 into 0 50.184 * [backup-simplify]: Simplify 1 into 1 50.184 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.184 * [backup-simplify]: Simplify (* 1 1) into 1 50.185 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.185 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.185 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.185 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.185 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.186 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.187 * [backup-simplify]: Simplify (+ 0) into 0 50.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.189 * [backup-simplify]: Simplify (- 0) into 0 50.189 * [backup-simplify]: Simplify (+ 0 0) into 0 50.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.190 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.190 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.191 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.191 * [backup-simplify]: Simplify (+ 0 0) into 0 50.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.192 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 50.192 * [taylor]: Taking taylor expansion of 2 in U 50.192 * [backup-simplify]: Simplify 2 into 2 50.192 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 50.192 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 50.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.192 * [taylor]: Taking taylor expansion of -1/2 in U 50.192 * [backup-simplify]: Simplify -1/2 into -1/2 50.192 * [taylor]: Taking taylor expansion of K in U 50.192 * [backup-simplify]: Simplify K into K 50.192 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.192 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.192 * [taylor]: Taking taylor expansion of J in U 50.193 * [backup-simplify]: Simplify J into J 50.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.193 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.193 * [backup-simplify]: Simplify (- 0) into 0 50.193 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.193 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.193 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.193 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.194 * [taylor]: Taking taylor expansion of 1 in U 50.194 * [backup-simplify]: Simplify 1 into 1 50.194 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.194 * [taylor]: Taking taylor expansion of 1/4 in U 50.194 * [backup-simplify]: Simplify 1/4 into 1/4 50.194 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.194 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.194 * [taylor]: Taking taylor expansion of J in U 50.194 * [backup-simplify]: Simplify J into J 50.194 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.194 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.194 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.194 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.194 * [taylor]: Taking taylor expansion of -1/2 in U 50.194 * [backup-simplify]: Simplify -1/2 into -1/2 50.194 * [taylor]: Taking taylor expansion of K in U 50.194 * [backup-simplify]: Simplify K into K 50.194 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.194 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.194 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.194 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.194 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.195 * [backup-simplify]: Simplify (- 0) into 0 50.195 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.195 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.195 * [taylor]: Taking taylor expansion of U in U 50.195 * [backup-simplify]: Simplify 0 into 0 50.195 * [backup-simplify]: Simplify 1 into 1 50.195 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.195 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.198 * [backup-simplify]: Simplify (* 1 1) into 1 50.198 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.199 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.199 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.199 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.199 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.200 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.201 * [backup-simplify]: Simplify (+ 0) into 0 50.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.203 * [backup-simplify]: Simplify (- 0) into 0 50.203 * [backup-simplify]: Simplify (+ 0 0) into 0 50.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.204 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.204 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.205 * [backup-simplify]: Simplify (+ 0 0) into 0 50.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.205 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 50.205 * [backup-simplify]: Simplify (* 2 1/2) into 1 50.205 * [taylor]: Taking taylor expansion of 1 in K 50.205 * [backup-simplify]: Simplify 1 into 1 50.205 * [taylor]: Taking taylor expansion of 1 in J 50.205 * [backup-simplify]: Simplify 1 into 1 50.206 * [backup-simplify]: Simplify (+ 0) into 0 50.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.207 * [backup-simplify]: Simplify (- 0) into 0 50.207 * [backup-simplify]: Simplify (+ 0 0) into 0 50.207 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 50.208 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 50.208 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 50.208 * [taylor]: Taking taylor expansion of 0 in K 50.208 * [backup-simplify]: Simplify 0 into 0 50.208 * [taylor]: Taking taylor expansion of 0 in J 50.208 * [backup-simplify]: Simplify 0 into 0 50.208 * [taylor]: Taking taylor expansion of 0 in J 50.208 * [backup-simplify]: Simplify 0 into 0 50.208 * [backup-simplify]: Simplify 1 into 1 50.208 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.212 * [backup-simplify]: Simplify (- 0) into 0 50.212 * [backup-simplify]: Simplify (+ 0 0) into 0 50.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.213 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 50.214 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 50.215 * [backup-simplify]: Simplify (+ 1 0) into 1 50.216 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 50.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.219 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.220 * [backup-simplify]: Simplify (- 0) into 0 50.220 * [backup-simplify]: Simplify (+ 0 0) into 0 50.221 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.221 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 50.223 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 50.223 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 50.223 * [taylor]: Taking taylor expansion of 2 in K 50.223 * [backup-simplify]: Simplify 2 into 2 50.223 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 50.223 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.223 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.223 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.223 * [taylor]: Taking taylor expansion of -1/2 in K 50.223 * [backup-simplify]: Simplify -1/2 into -1/2 50.223 * [taylor]: Taking taylor expansion of K in K 50.223 * [backup-simplify]: Simplify 0 into 0 50.223 * [backup-simplify]: Simplify 1 into 1 50.223 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.223 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.223 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.224 * [taylor]: Taking taylor expansion of J in K 50.224 * [backup-simplify]: Simplify J into J 50.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.224 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.224 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 50.224 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 50.224 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 50.224 * [taylor]: Taking taylor expansion of 2 in J 50.224 * [backup-simplify]: Simplify 2 into 2 50.224 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 50.224 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.224 * [taylor]: Taking taylor expansion of -1/2 in J 50.224 * [backup-simplify]: Simplify -1/2 into -1/2 50.224 * [taylor]: Taking taylor expansion of K in J 50.224 * [backup-simplify]: Simplify K into K 50.224 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.225 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.225 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.225 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.225 * [backup-simplify]: Simplify (- 0) into 0 50.225 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.226 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.226 * [taylor]: Taking taylor expansion of J in J 50.226 * [backup-simplify]: Simplify 0 into 0 50.226 * [backup-simplify]: Simplify 1 into 1 50.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.226 * [backup-simplify]: Simplify (* 1 1) into 1 50.226 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.227 * [backup-simplify]: Simplify (+ 0) into 0 50.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.227 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.229 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.229 * [backup-simplify]: Simplify (- 0) into 0 50.229 * [backup-simplify]: Simplify (+ 0 0) into 0 50.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 50.232 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 50.232 * [backup-simplify]: Simplify 0 into 0 50.232 * [taylor]: Taking taylor expansion of 0 in J 50.232 * [backup-simplify]: Simplify 0 into 0 50.232 * [taylor]: Taking taylor expansion of 0 in J 50.232 * [backup-simplify]: Simplify 0 into 0 50.232 * [backup-simplify]: Simplify 0 into 0 50.232 * [backup-simplify]: Simplify 0 into 0 50.232 * [backup-simplify]: Simplify 0 into 0 50.233 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.239 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.239 * [backup-simplify]: Simplify (- 0) into 0 50.239 * [backup-simplify]: Simplify (+ 0 0) into 0 50.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 50.241 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.242 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.243 * [backup-simplify]: Simplify (+ 0 0) into 0 50.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 50.245 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.245 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.248 * [backup-simplify]: Simplify (- 0) into 0 50.249 * [backup-simplify]: Simplify (+ 0 0) into 0 50.249 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.250 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 50.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 50.251 * [taylor]: Taking taylor expansion of 0 in K 50.251 * [backup-simplify]: Simplify 0 into 0 50.251 * [taylor]: Taking taylor expansion of 0 in J 50.251 * [backup-simplify]: Simplify 0 into 0 50.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.251 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.252 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.252 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 50.252 * [taylor]: Taking taylor expansion of 0 in J 50.252 * [backup-simplify]: Simplify 0 into 0 50.252 * [taylor]: Taking taylor expansion of 0 in J 50.252 * [backup-simplify]: Simplify 0 into 0 50.252 * [taylor]: Taking taylor expansion of 0 in J 50.253 * [backup-simplify]: Simplify 0 into 0 50.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.255 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.256 * [backup-simplify]: Simplify (- 0) into 0 50.256 * [backup-simplify]: Simplify (+ 0 0) into 0 50.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 50.260 * [backup-simplify]: Simplify 0 into 0 50.260 * [backup-simplify]: Simplify 0 into 0 50.260 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 50.261 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 50.261 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 50.261 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 50.261 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.261 * [taylor]: Taking taylor expansion of 1/3 in K 50.261 * [backup-simplify]: Simplify 1/3 into 1/3 50.261 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.261 * [taylor]: Taking taylor expansion of 1/2 in K 50.261 * [backup-simplify]: Simplify 1/2 into 1/2 50.261 * [taylor]: Taking taylor expansion of K in K 50.261 * [backup-simplify]: Simplify 0 into 0 50.261 * [backup-simplify]: Simplify 1 into 1 50.262 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.263 * [backup-simplify]: Simplify (log 1) into 0 50.263 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.264 * [backup-simplify]: Simplify (+ 0) into 0 50.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.266 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.271 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.271 * [backup-simplify]: Simplify (exp 0) into 1 50.271 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.271 * [taylor]: Taking taylor expansion of 1/3 in K 50.271 * [backup-simplify]: Simplify 1/3 into 1/3 50.271 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.271 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.271 * [taylor]: Taking taylor expansion of 1/2 in K 50.271 * [backup-simplify]: Simplify 1/2 into 1/2 50.271 * [taylor]: Taking taylor expansion of K in K 50.271 * [backup-simplify]: Simplify 0 into 0 50.271 * [backup-simplify]: Simplify 1 into 1 50.271 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.272 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.272 * [backup-simplify]: Simplify (log 1) into 0 50.272 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.272 * [backup-simplify]: Simplify (+ 0) into 0 50.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.274 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.276 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.276 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.276 * [backup-simplify]: Simplify (exp 0) into 1 50.276 * [backup-simplify]: Simplify 1 into 1 50.277 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 50.277 * [backup-simplify]: Simplify 0 into 0 50.278 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 50.278 * [backup-simplify]: Simplify -1/24 into -1/24 50.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 50.280 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.282 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 50.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 50.284 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.284 * [backup-simplify]: Simplify 0 into 0 50.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 50.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 50.294 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 50.296 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 50.301 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 50.301 * [backup-simplify]: Simplify -1/1152 into -1/1152 50.301 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 50.301 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 50.301 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 50.301 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.301 * [taylor]: Taking taylor expansion of 1/3 in K 50.301 * [backup-simplify]: Simplify 1/3 into 1/3 50.301 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.301 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.302 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.302 * [taylor]: Taking taylor expansion of 1/2 in K 50.302 * [backup-simplify]: Simplify 1/2 into 1/2 50.302 * [taylor]: Taking taylor expansion of K in K 50.302 * [backup-simplify]: Simplify 0 into 0 50.302 * [backup-simplify]: Simplify 1 into 1 50.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.302 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.302 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.302 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.303 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.303 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.303 * [taylor]: Taking taylor expansion of 1/3 in K 50.303 * [backup-simplify]: Simplify 1/3 into 1/3 50.303 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.303 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.303 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.303 * [taylor]: Taking taylor expansion of 1/2 in K 50.303 * [backup-simplify]: Simplify 1/2 into 1/2 50.303 * [taylor]: Taking taylor expansion of K in K 50.303 * [backup-simplify]: Simplify 0 into 0 50.303 * [backup-simplify]: Simplify 1 into 1 50.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.303 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.303 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.304 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.304 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.304 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 50.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 50.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 50.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.306 * [backup-simplify]: Simplify 0 into 0 50.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 50.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 50.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.310 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 50.314 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 50.316 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.316 * [backup-simplify]: Simplify 0 into 0 50.321 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 50.323 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 50.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.329 * [backup-simplify]: Simplify 0 into 0 50.337 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 50.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 50.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.343 * [backup-simplify]: Simplify 0 into 0 50.356 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 50.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 50.365 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.365 * [backup-simplify]: Simplify 0 into 0 50.365 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.365 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 50.365 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 50.365 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.365 * [taylor]: Taking taylor expansion of 1/3 in K 50.365 * [backup-simplify]: Simplify 1/3 into 1/3 50.365 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.365 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.365 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.365 * [taylor]: Taking taylor expansion of -1/2 in K 50.365 * [backup-simplify]: Simplify -1/2 into -1/2 50.365 * [taylor]: Taking taylor expansion of K in K 50.365 * [backup-simplify]: Simplify 0 into 0 50.365 * [backup-simplify]: Simplify 1 into 1 50.366 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.366 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.366 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.366 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.366 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.366 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.366 * [taylor]: Taking taylor expansion of 1/3 in K 50.366 * [backup-simplify]: Simplify 1/3 into 1/3 50.366 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.366 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.366 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.367 * [taylor]: Taking taylor expansion of -1/2 in K 50.367 * [backup-simplify]: Simplify -1/2 into -1/2 50.367 * [taylor]: Taking taylor expansion of K in K 50.367 * [backup-simplify]: Simplify 0 into 0 50.367 * [backup-simplify]: Simplify 1 into 1 50.367 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.367 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.367 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.367 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.367 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 50.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 50.369 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 50.370 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.370 * [backup-simplify]: Simplify 0 into 0 50.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 50.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 50.373 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.374 * [backup-simplify]: Simplify 0 into 0 50.376 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 50.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 50.379 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.379 * [backup-simplify]: Simplify 0 into 0 50.384 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 50.385 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 50.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.388 * [backup-simplify]: Simplify 0 into 0 50.396 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 50.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 50.402 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.402 * [backup-simplify]: Simplify 0 into 0 50.414 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 50.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 50.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.423 * [backup-simplify]: Simplify 0 into 0 50.423 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 50.424 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 50.424 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 50.424 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.424 * [taylor]: Taking taylor expansion of 1/3 in K 50.424 * [backup-simplify]: Simplify 1/3 into 1/3 50.424 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.424 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.424 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.424 * [taylor]: Taking taylor expansion of 1/2 in K 50.424 * [backup-simplify]: Simplify 1/2 into 1/2 50.424 * [taylor]: Taking taylor expansion of K in K 50.424 * [backup-simplify]: Simplify 0 into 0 50.424 * [backup-simplify]: Simplify 1 into 1 50.424 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.425 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.426 * [backup-simplify]: Simplify (log 1) into 0 50.426 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.426 * [backup-simplify]: Simplify (+ 0) into 0 50.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.433 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.434 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.434 * [backup-simplify]: Simplify (exp 0) into 1 50.434 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.434 * [taylor]: Taking taylor expansion of 1/3 in K 50.434 * [backup-simplify]: Simplify 1/3 into 1/3 50.434 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.434 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.434 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.434 * [taylor]: Taking taylor expansion of 1/2 in K 50.434 * [backup-simplify]: Simplify 1/2 into 1/2 50.434 * [taylor]: Taking taylor expansion of K in K 50.434 * [backup-simplify]: Simplify 0 into 0 50.434 * [backup-simplify]: Simplify 1 into 1 50.435 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.435 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.436 * [backup-simplify]: Simplify (log 1) into 0 50.436 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.436 * [backup-simplify]: Simplify (+ 0) into 0 50.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.442 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.443 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.443 * [backup-simplify]: Simplify (exp 0) into 1 50.444 * [backup-simplify]: Simplify 1 into 1 50.445 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 50.445 * [backup-simplify]: Simplify 0 into 0 50.446 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 50.447 * [backup-simplify]: Simplify -1/24 into -1/24 50.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 50.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.454 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 50.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 50.458 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.458 * [backup-simplify]: Simplify 0 into 0 50.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 50.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 50.468 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 50.471 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 50.474 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 50.474 * [backup-simplify]: Simplify -1/1152 into -1/1152 50.474 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 50.474 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 50.474 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 50.474 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.474 * [taylor]: Taking taylor expansion of 1/3 in K 50.474 * [backup-simplify]: Simplify 1/3 into 1/3 50.474 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.474 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.474 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.474 * [taylor]: Taking taylor expansion of 1/2 in K 50.474 * [backup-simplify]: Simplify 1/2 into 1/2 50.475 * [taylor]: Taking taylor expansion of K in K 50.475 * [backup-simplify]: Simplify 0 into 0 50.475 * [backup-simplify]: Simplify 1 into 1 50.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.475 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.475 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.475 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.475 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.475 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.475 * [taylor]: Taking taylor expansion of 1/3 in K 50.475 * [backup-simplify]: Simplify 1/3 into 1/3 50.475 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.475 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.475 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.475 * [taylor]: Taking taylor expansion of 1/2 in K 50.475 * [backup-simplify]: Simplify 1/2 into 1/2 50.475 * [taylor]: Taking taylor expansion of K in K 50.475 * [backup-simplify]: Simplify 0 into 0 50.475 * [backup-simplify]: Simplify 1 into 1 50.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.476 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.476 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.476 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.476 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.476 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 50.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 50.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 50.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.477 * [backup-simplify]: Simplify 0 into 0 50.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 50.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 50.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.480 * [backup-simplify]: Simplify 0 into 0 50.481 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 50.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 50.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.483 * [backup-simplify]: Simplify 0 into 0 50.486 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 50.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 50.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.488 * [backup-simplify]: Simplify 0 into 0 50.494 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 50.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 50.500 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.500 * [backup-simplify]: Simplify 0 into 0 50.512 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 50.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 50.520 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.520 * [backup-simplify]: Simplify 0 into 0 50.520 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.520 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 50.520 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 50.520 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.520 * [taylor]: Taking taylor expansion of 1/3 in K 50.520 * [backup-simplify]: Simplify 1/3 into 1/3 50.520 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.520 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.520 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.520 * [taylor]: Taking taylor expansion of -1/2 in K 50.521 * [backup-simplify]: Simplify -1/2 into -1/2 50.521 * [taylor]: Taking taylor expansion of K in K 50.521 * [backup-simplify]: Simplify 0 into 0 50.521 * [backup-simplify]: Simplify 1 into 1 50.521 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.521 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.521 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.521 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.521 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.521 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.521 * [taylor]: Taking taylor expansion of 1/3 in K 50.521 * [backup-simplify]: Simplify 1/3 into 1/3 50.521 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.521 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.521 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.521 * [taylor]: Taking taylor expansion of -1/2 in K 50.521 * [backup-simplify]: Simplify -1/2 into -1/2 50.521 * [taylor]: Taking taylor expansion of K in K 50.521 * [backup-simplify]: Simplify 0 into 0 50.521 * [backup-simplify]: Simplify 1 into 1 50.522 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.522 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.522 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.522 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.522 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.522 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 50.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 50.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 50.523 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.523 * [backup-simplify]: Simplify 0 into 0 50.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 50.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 50.526 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.526 * [backup-simplify]: Simplify 0 into 0 50.527 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 50.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 50.529 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.529 * [backup-simplify]: Simplify 0 into 0 50.532 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 50.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 50.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.534 * [backup-simplify]: Simplify 0 into 0 50.538 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 50.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 50.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.542 * [backup-simplify]: Simplify 0 into 0 50.550 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 50.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 50.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.559 * [backup-simplify]: Simplify 0 into 0 50.559 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.559 * * * [progress]: simplifying candidates 50.559 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 50.559 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 50.559 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 50.559 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 50.559 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 50.559 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 50.560 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 50.560 * [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)))) 50.560 * * [simplify]: iters left: 6 (15 enodes) 50.568 * * [simplify]: iters left: 5 (59 enodes) 50.590 * * [simplify]: iters left: 4 (112 enodes) 50.622 * * [simplify]: iters left: 3 (365 enodes) 50.902 * * [simplify]: Extracting #0: cost 1 inf + 0 50.902 * * [simplify]: Extracting #1: cost 4 inf + 0 50.902 * * [simplify]: Extracting #2: cost 7 inf + 0 50.902 * * [simplify]: Extracting #3: cost 10 inf + 0 50.902 * * [simplify]: Extracting #4: cost 122 inf + 1 50.903 * * [simplify]: Extracting #5: cost 241 inf + 89 50.905 * * [simplify]: Extracting #6: cost 203 inf + 3666 50.909 * * [simplify]: Extracting #7: cost 128 inf + 17960 50.921 * * [simplify]: Extracting #8: cost 13 inf + 45848 50.952 * * [simplify]: Extracting #9: cost 0 inf + 48961 50.979 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 50.979 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 50.979 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 50.979 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 50.979 * * [simplify]: iters left: 6 (14 enodes) 50.983 * * [simplify]: iters left: 5 (55 enodes) 50.992 * * [simplify]: iters left: 4 (108 enodes) 51.018 * * [simplify]: iters left: 3 (363 enodes) 51.209 * * [simplify]: Extracting #0: cost 1 inf + 0 51.209 * * [simplify]: Extracting #1: cost 3 inf + 0 51.209 * * [simplify]: Extracting #2: cost 5 inf + 0 51.209 * * [simplify]: Extracting #3: cost 8 inf + 0 51.209 * * [simplify]: Extracting #4: cost 123 inf + 1 51.210 * * [simplify]: Extracting #5: cost 234 inf + 420 51.212 * * [simplify]: Extracting #6: cost 203 inf + 3175 51.216 * * [simplify]: Extracting #7: cost 127 inf + 18949 51.239 * * [simplify]: Extracting #8: cost 7 inf + 46860 51.267 * * [simplify]: Extracting #9: cost 0 inf + 48232 51.281 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 51.281 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 51.282 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 51.282 * [simplify]: Simplifying (sqrt 1) 51.282 * * [simplify]: iters left: 1 (2 enodes) 51.284 * * [simplify]: Extracting #0: cost 1 inf + 0 51.284 * * [simplify]: Extracting #1: cost 0 inf + 1 51.284 * [simplify]: Simplified to 1 51.284 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 51.284 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 51.284 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 51.284 * * [simplify]: iters left: 6 (16 enodes) 51.290 * * [simplify]: iters left: 5 (70 enodes) 51.312 * * [simplify]: iters left: 4 (176 enodes) 51.430 * * [simplify]: Extracting #0: cost 1 inf + 0 51.430 * * [simplify]: Extracting #1: cost 3 inf + 0 51.430 * * [simplify]: Extracting #2: cost 6 inf + 0 51.430 * * [simplify]: Extracting #3: cost 103 inf + 1 51.432 * * [simplify]: Extracting #4: cost 306 inf + 6 51.434 * * [simplify]: Extracting #5: cost 338 inf + 1810 51.443 * * [simplify]: Extracting #6: cost 242 inf + 27932 51.464 * * [simplify]: Extracting #7: cost 28 inf + 100762 51.487 * * [simplify]: Extracting #8: cost 0 inf + 110036 51.513 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 51.514 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 51.514 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 51.514 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 51.514 * * [simplify]: iters left: 6 (15 enodes) 51.519 * * [simplify]: iters left: 5 (62 enodes) 51.535 * * [simplify]: iters left: 4 (150 enodes) 51.639 * * [simplify]: Extracting #0: cost 1 inf + 0 51.639 * * [simplify]: Extracting #1: cost 3 inf + 0 51.639 * * [simplify]: Extracting #2: cost 9 inf + 0 51.639 * * [simplify]: Extracting #3: cost 105 inf + 2 51.640 * * [simplify]: Extracting #4: cost 286 inf + 6 51.641 * * [simplify]: Extracting #5: cost 280 inf + 1923 51.645 * * [simplify]: Extracting #6: cost 191 inf + 25190 51.664 * * [simplify]: Extracting #7: cost 26 inf + 76271 51.687 * * [simplify]: Extracting #8: cost 0 inf + 85028 51.705 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 51.705 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 51.706 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 51.706 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 51.706 * * [simplify]: iters left: 6 (12 enodes) 51.711 * * [simplify]: iters left: 5 (49 enodes) 51.727 * * [simplify]: iters left: 4 (102 enodes) 51.775 * * [simplify]: iters left: 3 (356 enodes) 51.992 * * [simplify]: Extracting #0: cost 1 inf + 0 51.993 * * [simplify]: Extracting #1: cost 4 inf + 0 51.993 * * [simplify]: Extracting #2: cost 116 inf + 1 51.995 * * [simplify]: Extracting #3: cost 234 inf + 254 51.997 * * [simplify]: Extracting #4: cost 192 inf + 4198 52.004 * * [simplify]: Extracting #5: cost 121 inf + 19235 52.018 * * [simplify]: Extracting #6: cost 5 inf + 46310 52.043 * * [simplify]: Extracting #7: cost 0 inf + 47117 52.057 * * [simplify]: Extracting #8: cost 0 inf + 46998 52.076 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 52.076 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 52.076 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 52.077 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 52.077 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 52.077 * * [simplify]: iters left: 6 (13 enodes) 52.084 * * [simplify]: iters left: 5 (52 enodes) 52.102 * * [simplify]: iters left: 4 (105 enodes) 52.128 * * [simplify]: iters left: 3 (359 enodes) 52.360 * * [simplify]: Extracting #0: cost 1 inf + 0 52.360 * * [simplify]: Extracting #1: cost 3 inf + 0 52.360 * * [simplify]: Extracting #2: cost 6 inf + 0 52.360 * * [simplify]: Extracting #3: cost 118 inf + 1 52.361 * * [simplify]: Extracting #4: cost 235 inf + 336 52.363 * * [simplify]: Extracting #5: cost 193 inf + 4402 52.367 * * [simplify]: Extracting #6: cost 119 inf + 19348 52.380 * * [simplify]: Extracting #7: cost 7 inf + 46040 52.405 * * [simplify]: Extracting #8: cost 0 inf + 47488 52.420 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 52.420 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 52.420 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 52.420 * * * * [progress]: [ 16 / 95 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))> 52.420 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 52.421 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.421 * * [simplify]: iters left: 6 (20 enodes) 52.426 * * [simplify]: iters left: 5 (85 enodes) 52.449 * * [simplify]: iters left: 4 (190 enodes) 52.502 * * [simplify]: Extracting #0: cost 1 inf + 0 52.502 * * [simplify]: Extracting #1: cost 25 inf + 0 52.502 * * [simplify]: Extracting #2: cost 65 inf + 2 52.502 * * [simplify]: Extracting #3: cost 69 inf + 87 52.503 * * [simplify]: Extracting #4: cost 123 inf + 88 52.503 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.508 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.520 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.537 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.550 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.550 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.550 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 52.550 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.550 * * [simplify]: iters left: 6 (20 enodes) 52.555 * * [simplify]: iters left: 5 (85 enodes) 52.583 * * [simplify]: iters left: 4 (190 enodes) 52.671 * * [simplify]: Extracting #0: cost 1 inf + 0 52.671 * * [simplify]: Extracting #1: cost 25 inf + 0 52.671 * * [simplify]: Extracting #2: cost 65 inf + 2 52.672 * * [simplify]: Extracting #3: cost 69 inf + 87 52.672 * * [simplify]: Extracting #4: cost 123 inf + 88 52.674 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.681 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.691 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.706 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.728 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.728 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.728 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 52.729 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.729 * * [simplify]: iters left: 6 (20 enodes) 52.739 * * [simplify]: iters left: 5 (85 enodes) 52.770 * * [simplify]: iters left: 4 (190 enodes) 52.832 * * [simplify]: Extracting #0: cost 1 inf + 0 52.832 * * [simplify]: Extracting #1: cost 25 inf + 0 52.832 * * [simplify]: Extracting #2: cost 65 inf + 2 52.832 * * [simplify]: Extracting #3: cost 69 inf + 87 52.833 * * [simplify]: Extracting #4: cost 123 inf + 88 52.833 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.838 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.848 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.861 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.885 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.885 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.885 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 52.886 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.886 * * [simplify]: iters left: 6 (20 enodes) 52.896 * * [simplify]: iters left: 5 (85 enodes) 52.930 * * [simplify]: iters left: 4 (190 enodes) 52.991 * * [simplify]: Extracting #0: cost 1 inf + 0 52.991 * * [simplify]: Extracting #1: cost 25 inf + 0 52.991 * * [simplify]: Extracting #2: cost 65 inf + 2 52.992 * * [simplify]: Extracting #3: cost 69 inf + 87 52.992 * * [simplify]: Extracting #4: cost 123 inf + 88 52.994 * * [simplify]: Extracting #5: cost 176 inf + 1133 53.002 * * [simplify]: Extracting #6: cost 68 inf + 26585 53.022 * * [simplify]: Extracting #7: cost 9 inf + 46633 53.048 * * [simplify]: Extracting #8: cost 0 inf + 51020 53.072 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 53.072 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 53.072 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 53.072 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 53.073 * * [simplify]: iters left: 6 (20 enodes) 53.082 * * [simplify]: iters left: 5 (85 enodes) 53.097 * * [simplify]: iters left: 4 (190 enodes) 53.152 * * [simplify]: Extracting #0: cost 1 inf + 0 53.152 * * [simplify]: Extracting #1: cost 25 inf + 0 53.152 * * [simplify]: Extracting #2: cost 65 inf + 2 53.152 * * [simplify]: Extracting #3: cost 69 inf + 87 53.153 * * [simplify]: Extracting #4: cost 123 inf + 88 53.153 * * [simplify]: Extracting #5: cost 176 inf + 1133 53.160 * * [simplify]: Extracting #6: cost 68 inf + 26585 53.181 * * [simplify]: Extracting #7: cost 9 inf + 46633 53.196 * * [simplify]: Extracting #8: cost 0 inf + 51020 53.208 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 53.208 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 53.208 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 53.208 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 53.209 * * [simplify]: iters left: 6 (20 enodes) 53.214 * * [simplify]: iters left: 5 (85 enodes) 53.237 * * [simplify]: iters left: 4 (190 enodes) 53.313 * * [simplify]: Extracting #0: cost 1 inf + 0 53.313 * * [simplify]: Extracting #1: cost 25 inf + 0 53.313 * * [simplify]: Extracting #2: cost 65 inf + 2 53.314 * * [simplify]: Extracting #3: cost 69 inf + 87 53.314 * * [simplify]: Extracting #4: cost 123 inf + 88 53.315 * * [simplify]: Extracting #5: cost 176 inf + 1133 53.319 * * [simplify]: Extracting #6: cost 68 inf + 26585 53.329 * * [simplify]: Extracting #7: cost 9 inf + 46633 53.354 * * [simplify]: Extracting #8: cost 0 inf + 51020 53.377 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 53.377 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 53.378 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 53.378 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 53.378 * * [simplify]: iters left: 6 (20 enodes) 53.388 * * [simplify]: iters left: 5 (85 enodes) 53.419 * * [simplify]: iters left: 4 (190 enodes) 53.507 * * [simplify]: Extracting #0: cost 1 inf + 0 53.507 * * [simplify]: Extracting #1: cost 25 inf + 0 53.507 * * [simplify]: Extracting #2: cost 65 inf + 2 53.508 * * [simplify]: Extracting #3: cost 69 inf + 87 53.508 * * [simplify]: Extracting #4: cost 123 inf + 88 53.510 * * [simplify]: Extracting #5: cost 176 inf + 1133 53.518 * * [simplify]: Extracting #6: cost 68 inf + 26585 53.539 * * [simplify]: Extracting #7: cost 9 inf + 46633 53.563 * * [simplify]: Extracting #8: cost 0 inf + 51020 53.587 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 53.587 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 53.588 * * * * [progress]: [ 24 / 95 ] simplifiying candidate # 53.588 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 53.588 * * [simplify]: iters left: 6 (20 enodes) 53.597 * * [simplify]: iters left: 5 (85 enodes) 53.613 * * [simplify]: iters left: 4 (190 enodes) 53.683 * * [simplify]: Extracting #0: cost 1 inf + 0 53.684 * * [simplify]: Extracting #1: cost 25 inf + 0 53.684 * * [simplify]: Extracting #2: cost 65 inf + 2 53.684 * * [simplify]: Extracting #3: cost 69 inf + 87 53.684 * * [simplify]: Extracting #4: cost 123 inf + 88 53.685 * * [simplify]: Extracting #5: cost 176 inf + 1133 53.689 * * [simplify]: Extracting #6: cost 68 inf + 26585 53.702 * * [simplify]: Extracting #7: cost 9 inf + 46633 53.728 * * [simplify]: Extracting #8: cost 0 inf + 51020 53.753 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 53.753 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 53.753 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 53.754 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 53.754 * * [simplify]: iters left: 6 (20 enodes) 53.764 * * [simplify]: iters left: 5 (85 enodes) 53.779 * * [simplify]: iters left: 4 (190 enodes) 53.855 * * [simplify]: Extracting #0: cost 1 inf + 0 53.856 * * [simplify]: Extracting #1: cost 25 inf + 0 53.856 * * [simplify]: Extracting #2: cost 65 inf + 2 53.856 * * [simplify]: Extracting #3: cost 69 inf + 87 53.856 * * [simplify]: Extracting #4: cost 123 inf + 88 53.857 * * [simplify]: Extracting #5: cost 176 inf + 1133 53.861 * * [simplify]: Extracting #6: cost 68 inf + 26585 53.871 * * [simplify]: Extracting #7: cost 9 inf + 46633 53.883 * * [simplify]: Extracting #8: cost 0 inf + 51020 53.904 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 53.904 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 53.904 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 53.904 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 53.905 * * [simplify]: iters left: 6 (20 enodes) 53.915 * * [simplify]: iters left: 5 (85 enodes) 53.944 * * [simplify]: iters left: 4 (190 enodes) 54.008 * * [simplify]: Extracting #0: cost 1 inf + 0 54.008 * * [simplify]: Extracting #1: cost 25 inf + 0 54.008 * * [simplify]: Extracting #2: cost 65 inf + 2 54.008 * * [simplify]: Extracting #3: cost 69 inf + 87 54.008 * * [simplify]: Extracting #4: cost 123 inf + 88 54.009 * * [simplify]: Extracting #5: cost 176 inf + 1133 54.013 * * [simplify]: Extracting #6: cost 68 inf + 26585 54.024 * * [simplify]: Extracting #7: cost 9 inf + 46633 54.040 * * [simplify]: Extracting #8: cost 0 inf + 51020 54.066 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 54.066 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 54.066 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 54.066 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 54.067 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 54.067 * * [simplify]: iters left: 6 (24 enodes) 54.079 * * [simplify]: iters left: 5 (97 enodes) 54.109 * * [simplify]: iters left: 4 (202 enodes) 54.177 * * [simplify]: Extracting #0: cost 1 inf + 0 54.177 * * [simplify]: Extracting #1: cost 25 inf + 0 54.177 * * [simplify]: Extracting #2: cost 70 inf + 0 54.178 * * [simplify]: Extracting #3: cost 73 inf + 73 54.178 * * [simplify]: Extracting #4: cost 74 inf + 468 54.179 * * [simplify]: Extracting #5: cost 128 inf + 651 54.180 * * [simplify]: Extracting #6: cost 179 inf + 2324 54.188 * * [simplify]: Extracting #7: cost 84 inf + 24765 54.205 * * [simplify]: Extracting #8: cost 21 inf + 50546 54.218 * * [simplify]: Extracting #9: cost 0 inf + 63297 54.232 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))) 54.233 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))))) 54.233 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 54.233 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 54.234 * * [simplify]: iters left: 6 (24 enodes) 54.245 * * [simplify]: iters left: 5 (97 enodes) 54.271 * * [simplify]: iters left: 4 (194 enodes) 54.331 * * [simplify]: Extracting #0: cost 1 inf + 0 54.331 * * [simplify]: Extracting #1: cost 25 inf + 0 54.331 * * [simplify]: Extracting #2: cost 70 inf + 0 54.331 * * [simplify]: Extracting #3: cost 72 inf + 215 54.332 * * [simplify]: Extracting #4: cost 74 inf + 650 54.332 * * [simplify]: Extracting #5: cost 129 inf + 651 54.333 * * [simplify]: Extracting #6: cost 180 inf + 2019 54.336 * * [simplify]: Extracting #7: cost 85 inf + 23313 54.345 * * [simplify]: Extracting #8: cost 25 inf + 47934 54.364 * * [simplify]: Extracting #9: cost 1 inf + 62274 54.386 * * [simplify]: Extracting #10: cost 0 inf + 62828 54.399 * [simplify]: Simplified to (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 54.400 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))))) 54.400 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 54.400 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 54.400 * * [simplify]: iters left: 6 (25 enodes) 54.406 * * [simplify]: iters left: 5 (99 enodes) 54.438 * * [simplify]: iters left: 4 (199 enodes) 54.506 * * [simplify]: Extracting #0: cost 1 inf + 0 54.507 * * [simplify]: Extracting #1: cost 26 inf + 0 54.507 * * [simplify]: Extracting #2: cost 70 inf + 0 54.508 * * [simplify]: Extracting #3: cost 73 inf + 73 54.508 * * [simplify]: Extracting #4: cost 74 inf + 468 54.509 * * [simplify]: Extracting #5: cost 128 inf + 651 54.511 * * [simplify]: Extracting #6: cost 180 inf + 1797 54.518 * * [simplify]: Extracting #7: cost 90 inf + 23093 54.534 * * [simplify]: Extracting #8: cost 27 inf + 45668 54.559 * * [simplify]: Extracting #9: cost 0 inf + 63085 54.587 * [simplify]: Simplified to (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))) 54.587 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))))) 54.587 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 54.588 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 54.588 * * [simplify]: iters left: 6 (24 enodes) 54.600 * * [simplify]: iters left: 5 (97 enodes) 54.632 * * [simplify]: iters left: 4 (190 enodes) 54.710 * * [simplify]: Extracting #0: cost 1 inf + 0 54.710 * * [simplify]: Extracting #1: cost 24 inf + 0 54.710 * * [simplify]: Extracting #2: cost 65 inf + 0 54.710 * * [simplify]: Extracting #3: cost 69 inf + 73 54.710 * * [simplify]: Extracting #4: cost 69 inf + 650 54.711 * * [simplify]: Extracting #5: cost 124 inf + 651 54.711 * * [simplify]: Extracting #6: cost 178 inf + 1612 54.715 * * [simplify]: Extracting #7: cost 92 inf + 20647 54.723 * * [simplify]: Extracting #8: cost 28 inf + 43774 54.738 * * [simplify]: Extracting #9: cost 6 inf + 55356 54.765 * * [simplify]: Extracting #10: cost 0 inf + 58951 54.779 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 54.779 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))))) 54.779 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 54.779 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 54.779 * * [simplify]: iters left: 6 (23 enodes) 54.786 * * [simplify]: iters left: 5 (95 enodes) 54.803 * * [simplify]: iters left: 4 (188 enodes) 54.884 * * [simplify]: Extracting #0: cost 1 inf + 0 54.884 * * [simplify]: Extracting #1: cost 19 inf + 0 54.885 * * [simplify]: Extracting #2: cost 61 inf + 0 54.885 * * [simplify]: Extracting #3: cost 66 inf + 286 54.886 * * [simplify]: Extracting #4: cost 72 inf + 468 54.886 * * [simplify]: Extracting #5: cost 125 inf + 470 54.888 * * [simplify]: Extracting #6: cost 176 inf + 1922 54.893 * * [simplify]: Extracting #7: cost 89 inf + 22073 54.910 * * [simplify]: Extracting #8: cost 15 inf + 48533 54.932 * * [simplify]: Extracting #9: cost 0 inf + 56681 54.954 * * [simplify]: Extracting #10: cost 0 inf + 56602 54.975 * [simplify]: Simplified to (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 54.975 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 54.976 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 54.976 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 54.976 * * [simplify]: iters left: 6 (23 enodes) 54.988 * * [simplify]: iters left: 5 (95 enodes) 55.019 * * [simplify]: iters left: 4 (192 enodes) 55.103 * * [simplify]: Extracting #0: cost 1 inf + 0 55.103 * * [simplify]: Extracting #1: cost 23 inf + 0 55.104 * * [simplify]: Extracting #2: cost 66 inf + 0 55.104 * * [simplify]: Extracting #3: cost 68 inf + 73 55.104 * * [simplify]: Extracting #4: cost 68 inf + 650 55.105 * * [simplify]: Extracting #5: cost 123 inf + 651 55.105 * * [simplify]: Extracting #6: cost 176 inf + 1876 55.109 * * [simplify]: Extracting #7: cost 85 inf + 22440 55.116 * * [simplify]: Extracting #8: cost 42 inf + 34197 55.130 * * [simplify]: Extracting #9: cost 7 inf + 54296 55.160 * * [simplify]: Extracting #10: cost 0 inf + 58808 55.185 * [simplify]: Simplified to (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))) 55.185 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))))) 55.185 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 55.185 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 55.186 * * [simplify]: iters left: 6 (23 enodes) 55.197 * * [simplify]: iters left: 5 (95 enodes) 55.230 * * [simplify]: iters left: 4 (186 enodes) 55.281 * * [simplify]: Extracting #0: cost 1 inf + 0 55.281 * * [simplify]: Extracting #1: cost 23 inf + 0 55.282 * * [simplify]: Extracting #2: cost 61 inf + 0 55.282 * * [simplify]: Extracting #3: cost 65 inf + 73 55.283 * * [simplify]: Extracting #4: cost 67 inf + 286 55.283 * * [simplify]: Extracting #5: cost 122 inf + 287 55.285 * * [simplify]: Extracting #6: cost 171 inf + 1780 55.291 * * [simplify]: Extracting #7: cost 83 inf + 21592 55.306 * * [simplify]: Extracting #8: cost 29 inf + 40490 55.326 * * [simplify]: Extracting #9: cost 3 inf + 55550 55.338 * * [simplify]: Extracting #10: cost 0 inf + 56879 55.349 * [simplify]: Simplified to (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) 55.350 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))) 55.350 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 55.350 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 55.350 * * [simplify]: iters left: 6 (24 enodes) 55.361 * * [simplify]: iters left: 5 (97 enodes) 55.382 * * [simplify]: iters left: 4 (191 enodes) 55.443 * * [simplify]: Extracting #0: cost 1 inf + 0 55.443 * * [simplify]: Extracting #1: cost 24 inf + 0 55.444 * * [simplify]: Extracting #2: cost 65 inf + 0 55.444 * * [simplify]: Extracting #3: cost 69 inf + 2 55.445 * * [simplify]: Extracting #4: cost 70 inf + 397 55.445 * * [simplify]: Extracting #5: cost 122 inf + 651 55.446 * * [simplify]: Extracting #6: cost 176 inf + 1835 55.453 * * [simplify]: Extracting #7: cost 87 inf + 22301 55.472 * * [simplify]: Extracting #8: cost 11 inf + 53118 55.485 * * [simplify]: Extracting #9: cost 0 inf + 58415 55.499 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) 55.499 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 55.499 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 55.500 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 55.500 * * [simplify]: iters left: 6 (23 enodes) 55.508 * * [simplify]: iters left: 5 (95 enodes) 55.530 * * [simplify]: iters left: 4 (184 enodes) 55.568 * * [simplify]: Extracting #0: cost 1 inf + 0 55.568 * * [simplify]: Extracting #1: cost 22 inf + 0 55.568 * * [simplify]: Extracting #2: cost 59 inf + 0 55.569 * * [simplify]: Extracting #3: cost 64 inf + 73 55.569 * * [simplify]: Extracting #4: cost 66 inf + 286 55.569 * * [simplify]: Extracting #5: cost 121 inf + 287 55.570 * * [simplify]: Extracting #6: cost 170 inf + 2184 55.575 * * [simplify]: Extracting #7: cost 77 inf + 22979 55.584 * * [simplify]: Extracting #8: cost 20 inf + 45043 55.598 * * [simplify]: Extracting #9: cost 1 inf + 54885 55.620 * * [simplify]: Extracting #10: cost 0 inf + 55217 55.642 * [simplify]: Simplified to (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) 55.642 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) 55.642 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 55.642 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 55.643 * * [simplify]: iters left: 6 (22 enodes) 55.653 * * [simplify]: iters left: 5 (93 enodes) 55.669 * * [simplify]: iters left: 4 (185 enodes) 55.722 * * [simplify]: Extracting #0: cost 1 inf + 0 55.722 * * [simplify]: Extracting #1: cost 19 inf + 0 55.722 * * [simplify]: Extracting #2: cost 55 inf + 0 55.722 * * [simplify]: Extracting #3: cost 63 inf + 73 55.723 * * [simplify]: Extracting #4: cost 67 inf + 286 55.723 * * [simplify]: Extracting #5: cost 120 inf + 288 55.724 * * [simplify]: Extracting #6: cost 171 inf + 2123 55.726 * * [simplify]: Extracting #7: cost 94 inf + 19079 55.735 * * [simplify]: Extracting #8: cost 12 inf + 46184 55.746 * * [simplify]: Extracting #9: cost 0 inf + 52414 55.766 * * [simplify]: Extracting #10: cost 0 inf + 52213 55.787 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))) 55.787 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))))) 55.787 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 55.787 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 55.788 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 55.788 * [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)))) 55.788 * * [simplify]: iters left: 6 (25 enodes) 55.806 * * [simplify]: iters left: 5 (108 enodes) 55.832 * * [simplify]: iters left: 4 (295 enodes) 56.041 * * [simplify]: Extracting #0: cost 1 inf + 0 56.041 * * [simplify]: Extracting #1: cost 58 inf + 0 56.042 * * [simplify]: Extracting #2: cost 293 inf + 4 56.043 * * [simplify]: Extracting #3: cost 395 inf + 47 56.048 * * [simplify]: Extracting #4: cost 343 inf + 25407 56.081 * * [simplify]: Extracting #5: cost 95 inf + 112182 56.142 * * [simplify]: Extracting #6: cost 3 inf + 153113 56.219 * * [simplify]: Extracting #7: cost 0 inf + 154392 56.275 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))) 56.275 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))))) 56.276 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 56.276 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 56.276 * * [simplify]: iters left: 6 (26 enodes) 56.292 * * [simplify]: iters left: 5 (118 enodes) 56.323 * * [simplify]: iters left: 4 (349 enodes) 56.525 * * [simplify]: Extracting #0: cost 1 inf + 0 56.525 * * [simplify]: Extracting #1: cost 77 inf + 0 56.526 * * [simplify]: Extracting #2: cost 374 inf + 4 56.528 * * [simplify]: Extracting #3: cost 494 inf + 128 56.534 * * [simplify]: Extracting #4: cost 426 inf + 35116 56.566 * * [simplify]: Extracting #5: cost 118 inf + 153445 56.650 * * [simplify]: Extracting #6: cost 0 inf + 212922 56.747 * * [simplify]: Extracting #7: cost 0 inf + 212239 56.853 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))) 56.853 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))))) 56.853 * * * * [progress]: [ 42 / 95 ] simplifiying candidate # 56.854 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 56.854 * * [simplify]: iters left: 6 (28 enodes) 56.870 * * [simplify]: iters left: 5 (125 enodes) 56.920 * * [simplify]: iters left: 4 (357 enodes) 57.196 * * [simplify]: Extracting #0: cost 1 inf + 0 57.197 * * [simplify]: Extracting #1: cost 102 inf + 0 57.200 * * [simplify]: Extracting #2: cost 482 inf + 126 57.204 * * [simplify]: Extracting #3: cost 618 inf + 617 57.211 * * [simplify]: Extracting #4: cost 697 inf + 1504 57.229 * * [simplify]: Extracting #5: cost 458 inf + 58486 57.303 * * [simplify]: Extracting #6: cost 132 inf + 185696 57.414 * * [simplify]: Extracting #7: cost 2 inf + 255257 57.482 * * [simplify]: Extracting #8: cost 0 inf + 256509 57.561 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)) 57.562 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)))) 57.562 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 57.562 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 57.562 * * [simplify]: iters left: 6 (28 enodes) 57.571 * * [simplify]: iters left: 5 (131 enodes) 57.613 * * [simplify]: iters left: 4 (402 enodes) 57.994 * * [simplify]: Extracting #0: cost 1 inf + 0 57.994 * * [simplify]: Extracting #1: cost 110 inf + 0 57.997 * * [simplify]: Extracting #2: cost 514 inf + 4 58.000 * * [simplify]: Extracting #3: cost 647 inf + 129 58.003 * * [simplify]: Extracting #4: cost 727 inf + 944 58.011 * * [simplify]: Extracting #5: cost 556 inf + 39689 58.075 * * [simplify]: Extracting #6: cost 122 inf + 208807 58.173 * * [simplify]: Extracting #7: cost 0 inf + 269273 58.252 * * [simplify]: Extracting #8: cost 0 inf + 269233 58.347 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 58.347 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 58.348 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 58.348 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 58.348 * * [simplify]: iters left: 6 (26 enodes) 58.356 * * [simplify]: iters left: 5 (118 enodes) 58.398 * * [simplify]: iters left: 4 (379 enodes) 58.730 * * [simplify]: Extracting #0: cost 1 inf + 0 58.731 * * [simplify]: Extracting #1: cost 84 inf + 0 58.734 * * [simplify]: Extracting #2: cost 460 inf + 45 58.738 * * [simplify]: Extracting #3: cost 579 inf + 88 58.743 * * [simplify]: Extracting #4: cost 633 inf + 553 58.758 * * [simplify]: Extracting #5: cost 493 inf + 38756 58.808 * * [simplify]: Extracting #6: cost 296 inf + 110532 58.880 * * [simplify]: Extracting #7: cost 122 inf + 201381 59.002 * * [simplify]: Extracting #8: cost 1 inf + 278543 59.129 * * [simplify]: Extracting #9: cost 0 inf + 279329 59.257 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) 59.257 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) 59.257 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 59.258 * [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)))) 59.258 * * [simplify]: iters left: 6 (23 enodes) 59.271 * * [simplify]: iters left: 5 (108 enodes) 59.303 * * [simplify]: iters left: 4 (276 enodes) 59.415 * * [simplify]: Extracting #0: cost 1 inf + 0 59.415 * * [simplify]: Extracting #1: cost 50 inf + 0 59.416 * * [simplify]: Extracting #2: cost 244 inf + 2 59.417 * * [simplify]: Extracting #3: cost 249 inf + 976 59.418 * * [simplify]: Extracting #4: cost 282 inf + 2844 59.426 * * [simplify]: Extracting #5: cost 241 inf + 39933 59.479 * * [simplify]: Extracting #6: cost 58 inf + 112943 59.549 * * [simplify]: Extracting #7: cost 0 inf + 129175 59.595 * * [simplify]: Extracting #8: cost 0 inf + 128032 59.648 * * [simplify]: Extracting #9: cost 0 inf + 127991 59.718 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)) 59.718 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)))) 59.719 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 59.719 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 59.720 * * [simplify]: iters left: 6 (24 enodes) 59.733 * * [simplify]: iters left: 5 (118 enodes) 59.775 * * [simplify]: iters left: 4 (331 enodes) 59.954 * * [simplify]: Extracting #0: cost 1 inf + 0 59.954 * * [simplify]: Extracting #1: cost 69 inf + 0 59.956 * * [simplify]: Extracting #2: cost 331 inf + 43 59.958 * * [simplify]: Extracting #3: cost 350 inf + 249 59.962 * * [simplify]: Extracting #4: cost 384 inf + 2295 59.980 * * [simplify]: Extracting #5: cost 277 inf + 71659 60.051 * * [simplify]: Extracting #6: cost 25 inf + 178091 60.141 * * [simplify]: Extracting #7: cost 0 inf + 186746 60.215 * * [simplify]: Extracting #8: cost 0 inf + 186706 60.279 * [simplify]: Simplified to (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) 60.279 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))))) 60.279 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 60.280 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 60.280 * * [simplify]: iters left: 6 (26 enodes) 60.292 * * [simplify]: iters left: 5 (125 enodes) 60.318 * * [simplify]: iters left: 4 (334 enodes) 60.477 * * [simplify]: Extracting #0: cost 1 inf + 0 60.477 * * [simplify]: Extracting #1: cost 76 inf + 0 60.480 * * [simplify]: Extracting #2: cost 393 inf + 124 60.483 * * [simplify]: Extracting #3: cost 430 inf + 372 60.485 * * [simplify]: Extracting #4: cost 482 inf + 1030 60.501 * * [simplify]: Extracting #5: cost 359 inf + 78270 60.585 * * [simplify]: Extracting #6: cost 13 inf + 215453 60.665 * * [simplify]: Extracting #7: cost 0 inf + 219842 60.724 * * [simplify]: Extracting #8: cost 0 inf + 219802 60.782 * [simplify]: Simplified to (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 60.783 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) 60.783 * * * * [progress]: [ 48 / 95 ] simplifiying candidate # 60.783 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 60.784 * * [simplify]: iters left: 6 (26 enodes) 60.793 * * [simplify]: iters left: 5 (131 enodes) 60.820 * * [simplify]: iters left: 4 (380 enodes) 61.045 * * [simplify]: Extracting #0: cost 1 inf + 0 61.046 * * [simplify]: Extracting #1: cost 84 inf + 0 61.048 * * [simplify]: Extracting #2: cost 413 inf + 43 61.052 * * [simplify]: Extracting #3: cost 439 inf + 462 61.056 * * [simplify]: Extracting #4: cost 490 inf + 652 61.083 * * [simplify]: Extracting #5: cost 400 inf + 66248 61.194 * * [simplify]: Extracting #6: cost 19 inf + 227318 61.283 * * [simplify]: Extracting #7: cost 0 inf + 232690 61.368 * * [simplify]: Extracting #8: cost 0 inf + 231088 61.459 * * [simplify]: Extracting #9: cost 0 inf + 230928 61.576 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 61.576 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))))) 61.576 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 61.576 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 61.577 * * [simplify]: iters left: 6 (24 enodes) 61.591 * * [simplify]: iters left: 5 (118 enodes) 61.643 * * [simplify]: iters left: 4 (363 enodes) 61.861 * * [simplify]: Extracting #0: cost 1 inf + 0 61.862 * * [simplify]: Extracting #1: cost 74 inf + 0 61.863 * * [simplify]: Extracting #2: cost 401 inf + 43 61.865 * * [simplify]: Extracting #3: cost 413 inf + 87 61.867 * * [simplify]: Extracting #4: cost 465 inf + 301 61.891 * * [simplify]: Extracting #5: cost 350 inf + 75376 62.019 * * [simplify]: Extracting #6: cost 25 inf + 235291 62.154 * * [simplify]: Extracting #7: cost 0 inf + 243902 62.296 * * [simplify]: Extracting #8: cost 0 inf + 243781 62.412 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))) 62.412 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))))) 62.412 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 62.412 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 62.412 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 62.413 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 62.413 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 62.413 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) J) 62.413 * * [simplify]: iters left: 6 (7 enodes) 62.417 * * [simplify]: iters left: 5 (22 enodes) 62.423 * * [simplify]: Extracting #0: cost 1 inf + 0 62.423 * * [simplify]: Extracting #1: cost 4 inf + 0 62.423 * * [simplify]: Extracting #2: cost 5 inf + 1 62.423 * * [simplify]: Extracting #3: cost 7 inf + 1 62.423 * * [simplify]: Extracting #4: cost 10 inf + 1 62.423 * * [simplify]: Extracting #5: cost 8 inf + 3 62.424 * * [simplify]: Extracting #6: cost 1 inf + 878 62.424 * * [simplify]: Extracting #7: cost 0 inf + 1101 62.424 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) J) 62.424 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J))) 62.425 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 62.425 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 62.425 * * [simplify]: iters left: 6 (13 enodes) 62.432 * * [simplify]: iters left: 5 (52 enodes) 62.449 * * [simplify]: iters left: 4 (105 enodes) 62.503 * * [simplify]: iters left: 3 (359 enodes) 62.746 * * [simplify]: Extracting #0: cost 1 inf + 0 62.746 * * [simplify]: Extracting #1: cost 3 inf + 0 62.746 * * [simplify]: Extracting #2: cost 6 inf + 0 62.746 * * [simplify]: Extracting #3: cost 118 inf + 1 62.749 * * [simplify]: Extracting #4: cost 235 inf + 336 62.752 * * [simplify]: Extracting #5: cost 193 inf + 4402 62.760 * * [simplify]: Extracting #6: cost 119 inf + 19348 62.786 * * [simplify]: Extracting #7: cost 7 inf + 46040 62.813 * * [simplify]: Extracting #8: cost 0 inf + 47488 62.830 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 62.830 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) 62.830 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 62.830 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 62.830 * * [simplify]: iters left: 6 (23 enodes) 62.838 * * [simplify]: iters left: 5 (103 enodes) 62.861 * * [simplify]: iters left: 4 (262 enodes) 63.038 * * [simplify]: Extracting #0: cost 1 inf + 0 63.038 * * [simplify]: Extracting #1: cost 25 inf + 0 63.039 * * [simplify]: Extracting #2: cost 65 inf + 2 63.039 * * [simplify]: Extracting #3: cost 69 inf + 87 63.040 * * [simplify]: Extracting #4: cost 167 inf + 88 63.042 * * [simplify]: Extracting #5: cost 373 inf + 1170 63.054 * * [simplify]: Extracting #6: cost 285 inf + 43405 63.106 * * [simplify]: Extracting #7: cost 17 inf + 136414 63.148 * * [simplify]: Extracting #8: cost 0 inf + 142053 63.193 * * [simplify]: Extracting #9: cost 0 inf + 141884 63.235 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 63.235 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 63.236 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 63.236 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 63.236 * * [simplify]: iters left: 6 (22 enodes) 63.248 * * [simplify]: iters left: 5 (95 enodes) 63.284 * * [simplify]: iters left: 4 (237 enodes) 63.433 * * [simplify]: Extracting #0: cost 1 inf + 0 63.433 * * [simplify]: Extracting #1: cost 25 inf + 0 63.434 * * [simplify]: Extracting #2: cost 65 inf + 2 63.434 * * [simplify]: Extracting #3: cost 72 inf + 87 63.435 * * [simplify]: Extracting #4: cost 168 inf + 89 63.437 * * [simplify]: Extracting #5: cost 346 inf + 1339 63.453 * * [simplify]: Extracting #6: cost 175 inf + 52242 63.489 * * [simplify]: Extracting #7: cost 13 inf + 107545 63.525 * * [simplify]: Extracting #8: cost 0 inf + 112935 63.553 * [simplify]: Simplified to (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) 63.553 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 63.553 * * * * [progress]: [ 58 / 95 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))))> 63.553 * * * * [progress]: [ 59 / 95 ] simplifiying candidate # 63.553 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 63.553 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 63.553 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 63.553 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 63.553 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 63.553 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.553 * * [simplify]: iters left: 6 (7 enodes) 63.555 * * [simplify]: iters left: 5 (21 enodes) 63.562 * * [simplify]: Extracting #0: cost 1 inf + 0 63.562 * * [simplify]: Extracting #1: cost 3 inf + 0 63.562 * * [simplify]: Extracting #2: cost 5 inf + 0 63.562 * * [simplify]: Extracting #3: cost 7 inf + 0 63.562 * * [simplify]: Extracting #4: cost 9 inf + 0 63.562 * * [simplify]: Extracting #5: cost 12 inf + 0 63.562 * * [simplify]: Extracting #6: cost 10 inf + 2 63.562 * * [simplify]: Extracting #7: cost 1 inf + 1400 63.563 * * [simplify]: Extracting #8: cost 0 inf + 1702 63.563 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.563 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J)))) 63.563 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 63.564 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 63.564 * * [simplify]: iters left: 5 (6 enodes) 63.567 * * [simplify]: iters left: 4 (18 enodes) 63.572 * * [simplify]: Extracting #0: cost 1 inf + 0 63.572 * * [simplify]: Extracting #1: cost 3 inf + 0 63.572 * * [simplify]: Extracting #2: cost 5 inf + 0 63.572 * * [simplify]: Extracting #3: cost 7 inf + 0 63.572 * * [simplify]: Extracting #4: cost 10 inf + 0 63.572 * * [simplify]: Extracting #5: cost 8 inf + 2 63.572 * * [simplify]: Extracting #6: cost 0 inf + 1018 63.573 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 63.573 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) J)))) 63.573 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 63.573 * [simplify]: Simplifying (cbrt 1) 63.573 * * [simplify]: iters left: 1 (2 enodes) 63.576 * * [simplify]: Extracting #0: cost 1 inf + 0 63.576 * * [simplify]: Extracting #1: cost 0 inf + 1 63.576 * [simplify]: Simplified to 1 63.576 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* 1 (cbrt (cos (/ K 2)))) J)))) 63.576 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 63.576 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 63.577 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 63.577 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 63.577 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 63.577 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 63.577 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 63.577 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 63.577 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 63.577 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 63.577 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.577 * * [simplify]: iters left: 6 (7 enodes) 63.581 * * [simplify]: iters left: 5 (21 enodes) 63.587 * * [simplify]: Extracting #0: cost 1 inf + 0 63.587 * * [simplify]: Extracting #1: cost 3 inf + 0 63.587 * * [simplify]: Extracting #2: cost 5 inf + 0 63.587 * * [simplify]: Extracting #3: cost 7 inf + 0 63.587 * * [simplify]: Extracting #4: cost 9 inf + 0 63.588 * * [simplify]: Extracting #5: cost 12 inf + 0 63.588 * * [simplify]: Extracting #6: cost 10 inf + 2 63.588 * * [simplify]: Extracting #7: cost 1 inf + 1400 63.588 * * [simplify]: Extracting #8: cost 0 inf + 1702 63.589 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.589 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 63.589 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 63.589 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 63.590 * * [simplify]: iters left: 5 (6 enodes) 63.592 * * [simplify]: iters left: 4 (18 enodes) 63.596 * * [simplify]: Extracting #0: cost 1 inf + 0 63.597 * * [simplify]: Extracting #1: cost 3 inf + 0 63.597 * * [simplify]: Extracting #2: cost 5 inf + 0 63.597 * * [simplify]: Extracting #3: cost 7 inf + 0 63.597 * * [simplify]: Extracting #4: cost 10 inf + 0 63.597 * * [simplify]: Extracting #5: cost 8 inf + 2 63.597 * * [simplify]: Extracting #6: cost 0 inf + 1018 63.597 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 63.597 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 63.597 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 63.597 * [simplify]: Simplifying (cbrt 1) 63.597 * * [simplify]: iters left: 1 (2 enodes) 63.599 * * [simplify]: Extracting #0: cost 1 inf + 0 63.599 * * [simplify]: Extracting #1: cost 0 inf + 1 63.599 * [simplify]: Simplified to 1 63.599 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J)))) 63.599 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 63.599 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 63.599 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 63.599 * * * * [progress]: [ 82 / 95 ] simplifiying candidate # 63.599 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 63.599 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 63.600 * [simplify]: Simplifying 1 63.600 * * [simplify]: iters left: 0 (1 enodes) 63.600 * * [simplify]: Extracting #0: cost 1 inf + 0 63.600 * * [simplify]: Extracting #1: cost 0 inf + 1 63.600 * [simplify]: Simplified to 1 63.600 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.600 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 63.600 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 63.601 * * [simplify]: iters left: 6 (9 enodes) 63.603 * * [simplify]: iters left: 5 (34 enodes) 63.608 * * [simplify]: iters left: 4 (56 enodes) 63.616 * * [simplify]: iters left: 3 (90 enodes) 63.636 * * [simplify]: iters left: 2 (114 enodes) 63.667 * * [simplify]: iters left: 1 (131 enodes) 63.702 * * [simplify]: Extracting #0: cost 1 inf + 0 63.702 * * [simplify]: Extracting #1: cost 22 inf + 0 63.702 * * [simplify]: Extracting #2: cost 37 inf + 3 63.702 * * [simplify]: Extracting #3: cost 31 inf + 380 63.703 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.705 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.707 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.709 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.709 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.710 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 63.710 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 63.710 * * [simplify]: iters left: 6 (9 enodes) 63.714 * * [simplify]: iters left: 5 (34 enodes) 63.725 * * [simplify]: iters left: 4 (56 enodes) 63.740 * * [simplify]: iters left: 3 (90 enodes) 63.755 * * [simplify]: iters left: 2 (114 enodes) 63.774 * * [simplify]: iters left: 1 (131 enodes) 63.806 * * [simplify]: Extracting #0: cost 1 inf + 0 63.806 * * [simplify]: Extracting #1: cost 22 inf + 0 63.806 * * [simplify]: Extracting #2: cost 37 inf + 3 63.806 * * [simplify]: Extracting #3: cost 31 inf + 380 63.807 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.807 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.809 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.810 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.810 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.810 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 63.810 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 63.810 * * [simplify]: iters left: 6 (10 enodes) 63.813 * * [simplify]: iters left: 5 (43 enodes) 63.821 * * [simplify]: iters left: 4 (79 enodes) 63.835 * * [simplify]: iters left: 3 (118 enodes) 63.869 * * [simplify]: iters left: 2 (171 enodes) 63.925 * * [simplify]: iters left: 1 (242 enodes) 63.999 * * [simplify]: Extracting #0: cost 1 inf + 0 63.999 * * [simplify]: Extracting #1: cost 6 inf + 0 63.999 * * [simplify]: Extracting #2: cost 41 inf + 0 64.000 * * [simplify]: Extracting #3: cost 56 inf + 213 64.000 * * [simplify]: Extracting #4: cost 20 inf + 2732 64.002 * * [simplify]: Extracting #5: cost 1 inf + 4576 64.003 * * [simplify]: Extracting #6: cost 0 inf + 4698 64.005 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 64.005 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 64.005 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 64.005 * [simplify]: Simplifying (* -1 U) 64.005 * * [simplify]: iters left: 2 (3 enodes) 64.006 * * [simplify]: iters left: 1 (11 enodes) 64.007 * * [simplify]: Extracting #0: cost 1 inf + 0 64.007 * * [simplify]: Extracting #1: cost 4 inf + 0 64.008 * * [simplify]: Extracting #2: cost 0 inf + 84 64.008 * [simplify]: Simplified to (- U) 64.008 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 64.008 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 64.008 * [simplify]: Simplifying (* -1 U) 64.008 * * [simplify]: iters left: 2 (3 enodes) 64.009 * * [simplify]: iters left: 1 (11 enodes) 64.010 * * [simplify]: Extracting #0: cost 1 inf + 0 64.010 * * [simplify]: Extracting #1: cost 4 inf + 0 64.010 * * [simplify]: Extracting #2: cost 0 inf + 84 64.010 * [simplify]: Simplified to (- U) 64.010 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 64.010 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 64.011 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 64.011 * * [simplify]: iters left: 6 (12 enodes) 64.015 * * [simplify]: iters left: 5 (52 enodes) 64.032 * * [simplify]: iters left: 4 (73 enodes) 64.055 * * [simplify]: iters left: 3 (117 enodes) 64.075 * * [simplify]: iters left: 2 (156 enodes) 64.111 * * [simplify]: iters left: 1 (207 enodes) 64.143 * * [simplify]: Extracting #0: cost 1 inf + 0 64.143 * * [simplify]: Extracting #1: cost 18 inf + 0 64.143 * * [simplify]: Extracting #2: cost 39 inf + 2 64.144 * * [simplify]: Extracting #3: cost 43 inf + 213 64.145 * * [simplify]: Extracting #4: cost 14 inf + 3555 64.151 * * [simplify]: Extracting #5: cost 0 inf + 5789 64.155 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 64.155 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) J)))) 64.155 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 64.155 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 64.155 * * [simplify]: iters left: 4 (6 enodes) 64.158 * * [simplify]: iters left: 3 (25 enodes) 64.162 * * [simplify]: iters left: 2 (39 enodes) 64.171 * * [simplify]: iters left: 1 (69 enodes) 64.184 * * [simplify]: Extracting #0: cost 1 inf + 0 64.184 * * [simplify]: Extracting #1: cost 9 inf + 0 64.184 * * [simplify]: Extracting #2: cost 23 inf + 1 64.184 * * [simplify]: Extracting #3: cost 23 inf + 5 64.184 * * [simplify]: Extracting #4: cost 20 inf + 8 64.185 * * [simplify]: Extracting #5: cost 9 inf + 2778 64.186 * * [simplify]: Extracting #6: cost 0 inf + 6930 64.188 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 64.188 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 64.188 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 64.188 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 64.188 * * [simplify]: iters left: 4 (6 enodes) 64.192 * * [simplify]: iters left: 3 (25 enodes) 64.202 * * [simplify]: iters left: 2 (39 enodes) 64.217 * * [simplify]: iters left: 1 (69 enodes) 64.241 * * [simplify]: Extracting #0: cost 1 inf + 0 64.241 * * [simplify]: Extracting #1: cost 9 inf + 0 64.241 * * [simplify]: Extracting #2: cost 23 inf + 1 64.241 * * [simplify]: Extracting #3: cost 23 inf + 5 64.242 * * [simplify]: Extracting #4: cost 20 inf + 8 64.242 * * [simplify]: Extracting #5: cost 9 inf + 2778 64.243 * * [simplify]: Extracting #6: cost 0 inf + 6930 64.244 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 64.244 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 64.245 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 64.245 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 64.245 * * [simplify]: iters left: 6 (12 enodes) 64.253 * * [simplify]: iters left: 5 (52 enodes) 64.263 * * [simplify]: iters left: 4 (73 enodes) 64.275 * * [simplify]: iters left: 3 (117 enodes) 64.301 * * [simplify]: iters left: 2 (156 enodes) 64.346 * * [simplify]: iters left: 1 (207 enodes) 64.415 * * [simplify]: Extracting #0: cost 1 inf + 0 64.415 * * [simplify]: Extracting #1: cost 18 inf + 0 64.416 * * [simplify]: Extracting #2: cost 39 inf + 2 64.416 * * [simplify]: Extracting #3: cost 43 inf + 213 64.418 * * [simplify]: Extracting #4: cost 14 inf + 3555 64.420 * * [simplify]: Extracting #5: cost 0 inf + 5789 64.422 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 64.422 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))) (* (cbrt (cos (/ K 2))) J)))) 64.422 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 64.422 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 64.422 * * [simplify]: iters left: 4 (6 enodes) 64.424 * * [simplify]: iters left: 3 (25 enodes) 64.430 * * [simplify]: iters left: 2 (39 enodes) 64.438 * * [simplify]: iters left: 1 (69 enodes) 64.451 * * [simplify]: Extracting #0: cost 1 inf + 0 64.451 * * [simplify]: Extracting #1: cost 9 inf + 0 64.451 * * [simplify]: Extracting #2: cost 23 inf + 1 64.451 * * [simplify]: Extracting #3: cost 23 inf + 5 64.451 * * [simplify]: Extracting #4: cost 20 inf + 8 64.452 * * [simplify]: Extracting #5: cost 9 inf + 2778 64.452 * * [simplify]: Extracting #6: cost 0 inf + 6930 64.453 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 64.453 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 64.453 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 64.453 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 64.453 * * [simplify]: iters left: 4 (6 enodes) 64.455 * * [simplify]: iters left: 3 (25 enodes) 64.461 * * [simplify]: iters left: 2 (39 enodes) 64.476 * * [simplify]: iters left: 1 (69 enodes) 64.503 * * [simplify]: Extracting #0: cost 1 inf + 0 64.503 * * [simplify]: Extracting #1: cost 9 inf + 0 64.504 * * [simplify]: Extracting #2: cost 23 inf + 1 64.504 * * [simplify]: Extracting #3: cost 23 inf + 5 64.504 * * [simplify]: Extracting #4: cost 20 inf + 8 64.504 * * [simplify]: Extracting #5: cost 9 inf + 2778 64.506 * * [simplify]: Extracting #6: cost 0 inf + 6930 64.507 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 64.507 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 64.507 * * * [progress]: adding candidates to table 65.882 * * [progress]: iteration 3 / 4 65.882 * * * [progress]: picking best candidate 65.920 * * * * [pick]: Picked # 65.920 * * * [progress]: localizing error 65.992 * * * [progress]: generating rewritten candidates 65.992 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 66.131 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 67.536 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 67.537 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1) 67.541 * * * [progress]: generating series expansions 67.541 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 67.541 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 67.541 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 67.541 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 67.541 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 67.542 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 67.542 * [taylor]: Taking taylor expansion of 1/4 in J 67.542 * [backup-simplify]: Simplify 1/4 into 1/4 67.542 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 67.542 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.542 * [taylor]: Taking taylor expansion of U in J 67.542 * [backup-simplify]: Simplify U into U 67.542 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 67.542 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 67.542 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 67.542 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 67.542 * [taylor]: Taking taylor expansion of 1/2 in J 67.542 * [backup-simplify]: Simplify 1/2 into 1/2 67.542 * [taylor]: Taking taylor expansion of K in J 67.542 * [backup-simplify]: Simplify K into K 67.542 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.542 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.542 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.542 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.542 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.543 * [backup-simplify]: Simplify (- 0) into 0 67.543 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.543 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.543 * [taylor]: Taking taylor expansion of J in J 67.543 * [backup-simplify]: Simplify 0 into 0 67.543 * [backup-simplify]: Simplify 1 into 1 67.543 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.543 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.544 * [backup-simplify]: Simplify (* 1 1) into 1 67.544 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 67.544 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 67.544 * [taylor]: Taking taylor expansion of 1 in J 67.544 * [backup-simplify]: Simplify 1 into 1 67.544 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.545 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.545 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 67.545 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.546 * [backup-simplify]: Simplify (+ 0) into 0 67.547 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.549 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.549 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.550 * [backup-simplify]: Simplify (- 0) into 0 67.550 * [backup-simplify]: Simplify (+ 0 0) into 0 67.550 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.551 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 67.551 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 67.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 67.552 * [backup-simplify]: Simplify (+ 0 0) into 0 67.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 67.552 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 67.552 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 67.552 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 67.552 * [taylor]: Taking taylor expansion of 1/4 in K 67.553 * [backup-simplify]: Simplify 1/4 into 1/4 67.553 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.553 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.553 * [taylor]: Taking taylor expansion of U in K 67.553 * [backup-simplify]: Simplify U into U 67.553 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.553 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.553 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.553 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.553 * [taylor]: Taking taylor expansion of 1/2 in K 67.553 * [backup-simplify]: Simplify 1/2 into 1/2 67.553 * [taylor]: Taking taylor expansion of K in K 67.553 * [backup-simplify]: Simplify 0 into 0 67.553 * [backup-simplify]: Simplify 1 into 1 67.553 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.554 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.554 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.554 * [taylor]: Taking taylor expansion of J in K 67.554 * [backup-simplify]: Simplify J into J 67.554 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.555 * [backup-simplify]: Simplify (* 1 1) into 1 67.555 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.555 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.555 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 67.555 * [taylor]: Taking taylor expansion of 1 in K 67.555 * [backup-simplify]: Simplify 1 into 1 67.555 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 67.556 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 67.556 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 67.556 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.556 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.556 * [backup-simplify]: Simplify (+ 0) into 0 67.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.558 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 67.559 * [backup-simplify]: Simplify (+ 0 0) into 0 67.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 67.560 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.560 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.560 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.560 * [taylor]: Taking taylor expansion of 1/4 in U 67.560 * [backup-simplify]: Simplify 1/4 into 1/4 67.560 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.560 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.560 * [taylor]: Taking taylor expansion of U in U 67.560 * [backup-simplify]: Simplify 0 into 0 67.560 * [backup-simplify]: Simplify 1 into 1 67.560 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.560 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.560 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.560 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.560 * [taylor]: Taking taylor expansion of 1/2 in U 67.560 * [backup-simplify]: Simplify 1/2 into 1/2 67.560 * [taylor]: Taking taylor expansion of K in U 67.560 * [backup-simplify]: Simplify K into K 67.560 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.560 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.560 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.560 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.560 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.561 * [backup-simplify]: Simplify (- 0) into 0 67.561 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.561 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.561 * [taylor]: Taking taylor expansion of J in U 67.561 * [backup-simplify]: Simplify J into J 67.561 * [backup-simplify]: Simplify (* 1 1) into 1 67.561 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.562 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.562 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.562 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.562 * [taylor]: Taking taylor expansion of 1 in U 67.562 * [backup-simplify]: Simplify 1 into 1 67.562 * [backup-simplify]: Simplify (+ 0 1) into 1 67.563 * [backup-simplify]: Simplify (sqrt 1) into 1 67.563 * [backup-simplify]: Simplify (+ 0 0) into 0 67.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.564 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.564 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.564 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.564 * [taylor]: Taking taylor expansion of 1/4 in U 67.564 * [backup-simplify]: Simplify 1/4 into 1/4 67.564 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.564 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.564 * [taylor]: Taking taylor expansion of U in U 67.564 * [backup-simplify]: Simplify 0 into 0 67.564 * [backup-simplify]: Simplify 1 into 1 67.564 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.564 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.564 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.564 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.564 * [taylor]: Taking taylor expansion of 1/2 in U 67.564 * [backup-simplify]: Simplify 1/2 into 1/2 67.564 * [taylor]: Taking taylor expansion of K in U 67.564 * [backup-simplify]: Simplify K into K 67.565 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.565 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.565 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.565 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.565 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.565 * [backup-simplify]: Simplify (- 0) into 0 67.565 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.565 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.565 * [taylor]: Taking taylor expansion of J in U 67.565 * [backup-simplify]: Simplify J into J 67.566 * [backup-simplify]: Simplify (* 1 1) into 1 67.566 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.566 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.566 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.566 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.566 * [taylor]: Taking taylor expansion of 1 in U 67.566 * [backup-simplify]: Simplify 1 into 1 67.567 * [backup-simplify]: Simplify (+ 0 1) into 1 67.567 * [backup-simplify]: Simplify (sqrt 1) into 1 67.568 * [backup-simplify]: Simplify (+ 0 0) into 0 67.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.568 * [taylor]: Taking taylor expansion of 1 in K 67.569 * [backup-simplify]: Simplify 1 into 1 67.569 * [taylor]: Taking taylor expansion of 1 in J 67.569 * [backup-simplify]: Simplify 1 into 1 67.569 * [taylor]: Taking taylor expansion of 0 in K 67.569 * [backup-simplify]: Simplify 0 into 0 67.569 * [taylor]: Taking taylor expansion of 0 in J 67.569 * [backup-simplify]: Simplify 0 into 0 67.569 * [taylor]: Taking taylor expansion of 0 in J 67.569 * [backup-simplify]: Simplify 0 into 0 67.569 * [backup-simplify]: Simplify 1 into 1 67.569 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.569 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 67.571 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.571 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.571 * [taylor]: Taking taylor expansion of 1/8 in K 67.571 * [backup-simplify]: Simplify 1/8 into 1/8 67.571 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.571 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.571 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.571 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.571 * [taylor]: Taking taylor expansion of 1/2 in K 67.571 * [backup-simplify]: Simplify 1/2 into 1/2 67.571 * [taylor]: Taking taylor expansion of K in K 67.571 * [backup-simplify]: Simplify 0 into 0 67.571 * [backup-simplify]: Simplify 1 into 1 67.572 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.572 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.572 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.572 * [taylor]: Taking taylor expansion of J in K 67.572 * [backup-simplify]: Simplify J into J 67.573 * [backup-simplify]: Simplify (* 1 1) into 1 67.573 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.573 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.573 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 67.573 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 67.573 * [taylor]: Taking taylor expansion of 1/8 in J 67.573 * [backup-simplify]: Simplify 1/8 into 1/8 67.573 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.573 * [taylor]: Taking taylor expansion of J in J 67.573 * [backup-simplify]: Simplify 0 into 0 67.573 * [backup-simplify]: Simplify 1 into 1 67.574 * [backup-simplify]: Simplify (* 1 1) into 1 67.574 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 67.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 67.576 * [backup-simplify]: Simplify 0 into 0 67.576 * [taylor]: Taking taylor expansion of 0 in J 67.576 * [backup-simplify]: Simplify 0 into 0 67.576 * [taylor]: Taking taylor expansion of 0 in J 67.576 * [backup-simplify]: Simplify 0 into 0 67.576 * [backup-simplify]: Simplify 0 into 0 67.576 * [backup-simplify]: Simplify 0 into 0 67.576 * [backup-simplify]: Simplify 0 into 0 67.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.577 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.578 * [backup-simplify]: Simplify (+ 0) into 0 67.578 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.580 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.580 * [backup-simplify]: Simplify (- 0) into 0 67.580 * [backup-simplify]: Simplify (+ 0 0) into 0 67.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.581 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 67.581 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 67.582 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 67.582 * [backup-simplify]: Simplify (+ 0 0) into 0 67.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 67.583 * [taylor]: Taking taylor expansion of 0 in K 67.583 * [backup-simplify]: Simplify 0 into 0 67.583 * [taylor]: Taking taylor expansion of 0 in J 67.583 * [backup-simplify]: Simplify 0 into 0 67.583 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.584 * [backup-simplify]: Simplify (+ 0) into 0 67.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.585 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 67.585 * [taylor]: Taking taylor expansion of 0 in J 67.585 * [backup-simplify]: Simplify 0 into 0 67.585 * [taylor]: Taking taylor expansion of 0 in J 67.585 * [backup-simplify]: Simplify 0 into 0 67.585 * [taylor]: Taking taylor expansion of 0 in J 67.585 * [backup-simplify]: Simplify 0 into 0 67.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.587 * [backup-simplify]: Simplify 0 into 0 67.587 * [backup-simplify]: Simplify 0 into 0 67.587 * [backup-simplify]: Simplify 1 into 1 67.588 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 67.588 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 67.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 67.588 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 67.588 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 67.588 * [taylor]: Taking taylor expansion of 1/4 in J 67.588 * [backup-simplify]: Simplify 1/4 into 1/4 67.588 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 67.588 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.588 * [taylor]: Taking taylor expansion of J in J 67.588 * [backup-simplify]: Simplify 0 into 0 67.588 * [backup-simplify]: Simplify 1 into 1 67.588 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 67.588 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.588 * [taylor]: Taking taylor expansion of U in J 67.588 * [backup-simplify]: Simplify U into U 67.588 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.588 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.588 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.589 * [taylor]: Taking taylor expansion of 1/2 in J 67.589 * [backup-simplify]: Simplify 1/2 into 1/2 67.589 * [taylor]: Taking taylor expansion of K in J 67.589 * [backup-simplify]: Simplify K into K 67.589 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.589 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.589 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.589 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.589 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.589 * [backup-simplify]: Simplify (- 0) into 0 67.589 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.590 * [backup-simplify]: Simplify (* 1 1) into 1 67.590 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.590 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.590 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.590 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.590 * [taylor]: Taking taylor expansion of 1 in J 67.590 * [backup-simplify]: Simplify 1 into 1 67.591 * [backup-simplify]: Simplify (+ 0 1) into 1 67.591 * [backup-simplify]: Simplify (sqrt 1) into 1 67.592 * [backup-simplify]: Simplify (+ 0 0) into 0 67.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.592 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 67.592 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 67.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 67.592 * [taylor]: Taking taylor expansion of 1/4 in K 67.593 * [backup-simplify]: Simplify 1/4 into 1/4 67.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 67.593 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.593 * [taylor]: Taking taylor expansion of J in K 67.593 * [backup-simplify]: Simplify J into J 67.593 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 67.593 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.593 * [taylor]: Taking taylor expansion of U in K 67.593 * [backup-simplify]: Simplify U into U 67.593 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.593 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.593 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.593 * [taylor]: Taking taylor expansion of 1/2 in K 67.593 * [backup-simplify]: Simplify 1/2 into 1/2 67.593 * [taylor]: Taking taylor expansion of K in K 67.593 * [backup-simplify]: Simplify 0 into 0 67.593 * [backup-simplify]: Simplify 1 into 1 67.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.593 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.593 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.594 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.594 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.594 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.594 * [taylor]: Taking taylor expansion of 1 in K 67.594 * [backup-simplify]: Simplify 1 into 1 67.594 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 67.595 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 67.595 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 67.595 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.596 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.596 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.596 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.597 * [backup-simplify]: Simplify (+ 0 0) into 0 67.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 67.598 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.598 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.598 * [taylor]: Taking taylor expansion of 1/4 in U 67.598 * [backup-simplify]: Simplify 1/4 into 1/4 67.598 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.598 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.598 * [taylor]: Taking taylor expansion of J in U 67.598 * [backup-simplify]: Simplify J into J 67.598 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.598 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.598 * [taylor]: Taking taylor expansion of U in U 67.598 * [backup-simplify]: Simplify 0 into 0 67.598 * [backup-simplify]: Simplify 1 into 1 67.598 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.598 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.599 * [taylor]: Taking taylor expansion of 1/2 in U 67.599 * [backup-simplify]: Simplify 1/2 into 1/2 67.599 * [taylor]: Taking taylor expansion of K in U 67.599 * [backup-simplify]: Simplify K into K 67.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.599 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.599 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.599 * [backup-simplify]: Simplify (- 0) into 0 67.599 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.600 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.600 * [backup-simplify]: Simplify (* 1 1) into 1 67.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.600 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.600 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.600 * [taylor]: Taking taylor expansion of 1 in U 67.600 * [backup-simplify]: Simplify 1 into 1 67.601 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.601 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.601 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.602 * [backup-simplify]: Simplify (+ 0) into 0 67.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.604 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.604 * [backup-simplify]: Simplify (- 0) into 0 67.604 * [backup-simplify]: Simplify (+ 0 0) into 0 67.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.606 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.607 * [backup-simplify]: Simplify (+ 0 0) into 0 67.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.608 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.608 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.608 * [taylor]: Taking taylor expansion of 1/4 in U 67.608 * [backup-simplify]: Simplify 1/4 into 1/4 67.608 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.608 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.608 * [taylor]: Taking taylor expansion of J in U 67.608 * [backup-simplify]: Simplify J into J 67.608 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.608 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.608 * [taylor]: Taking taylor expansion of U in U 67.608 * [backup-simplify]: Simplify 0 into 0 67.608 * [backup-simplify]: Simplify 1 into 1 67.608 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.608 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.608 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.608 * [taylor]: Taking taylor expansion of 1/2 in U 67.608 * [backup-simplify]: Simplify 1/2 into 1/2 67.608 * [taylor]: Taking taylor expansion of K in U 67.608 * [backup-simplify]: Simplify K into K 67.608 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.608 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.608 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.608 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.609 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.609 * [backup-simplify]: Simplify (- 0) into 0 67.609 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.609 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.610 * [backup-simplify]: Simplify (* 1 1) into 1 67.610 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.610 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.610 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.610 * [taylor]: Taking taylor expansion of 1 in U 67.610 * [backup-simplify]: Simplify 1 into 1 67.610 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.611 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.611 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.611 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.611 * [backup-simplify]: Simplify (+ 0) into 0 67.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.613 * [backup-simplify]: Simplify (- 0) into 0 67.614 * [backup-simplify]: Simplify (+ 0 0) into 0 67.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.616 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.617 * [backup-simplify]: Simplify (+ 0 0) into 0 67.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 67.617 * [taylor]: Taking taylor expansion of 1/2 in K 67.617 * [backup-simplify]: Simplify 1/2 into 1/2 67.617 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 67.617 * [taylor]: Taking taylor expansion of J in K 67.617 * [backup-simplify]: Simplify J into J 67.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.617 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.617 * [taylor]: Taking taylor expansion of 1/2 in K 67.617 * [backup-simplify]: Simplify 1/2 into 1/2 67.617 * [taylor]: Taking taylor expansion of K in K 67.617 * [backup-simplify]: Simplify 0 into 0 67.617 * [backup-simplify]: Simplify 1 into 1 67.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.618 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.618 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 67.618 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 67.618 * [taylor]: Taking taylor expansion of 1/2 in J 67.618 * [backup-simplify]: Simplify 1/2 into 1/2 67.618 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 67.618 * [taylor]: Taking taylor expansion of J in J 67.618 * [backup-simplify]: Simplify 0 into 0 67.618 * [backup-simplify]: Simplify 1 into 1 67.618 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.618 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.618 * [taylor]: Taking taylor expansion of 1/2 in J 67.618 * [backup-simplify]: Simplify 1/2 into 1/2 67.619 * [taylor]: Taking taylor expansion of K in J 67.619 * [backup-simplify]: Simplify K into K 67.619 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.619 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.619 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.619 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.619 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.619 * [backup-simplify]: Simplify (- 0) into 0 67.619 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.620 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 67.620 * [taylor]: Taking taylor expansion of 0 in K 67.620 * [backup-simplify]: Simplify 0 into 0 67.620 * [taylor]: Taking taylor expansion of 0 in J 67.620 * [backup-simplify]: Simplify 0 into 0 67.620 * [backup-simplify]: Simplify 0 into 0 67.620 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 67.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 67.621 * [taylor]: Taking taylor expansion of 0 in J 67.621 * [backup-simplify]: Simplify 0 into 0 67.621 * [backup-simplify]: Simplify 0 into 0 67.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 67.621 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 67.622 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.624 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.625 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.625 * [backup-simplify]: Simplify (- 0) into 0 67.626 * [backup-simplify]: Simplify (+ 0 0) into 0 67.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.629 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.630 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.630 * [backup-simplify]: Simplify (+ 0 1) into 1 67.631 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 67.631 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 67.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.631 * [taylor]: Taking taylor expansion of 1/2 in K 67.631 * [backup-simplify]: Simplify 1/2 into 1/2 67.631 * [taylor]: Taking taylor expansion of K in K 67.632 * [backup-simplify]: Simplify 0 into 0 67.632 * [backup-simplify]: Simplify 1 into 1 67.632 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.632 * [taylor]: Taking taylor expansion of J in K 67.632 * [backup-simplify]: Simplify J into J 67.632 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.632 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 67.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.632 * [taylor]: Taking taylor expansion of 1/2 in J 67.632 * [backup-simplify]: Simplify 1/2 into 1/2 67.632 * [taylor]: Taking taylor expansion of K in J 67.632 * [backup-simplify]: Simplify K into K 67.632 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.633 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.633 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.633 * [taylor]: Taking taylor expansion of J in J 67.633 * [backup-simplify]: Simplify 0 into 0 67.633 * [backup-simplify]: Simplify 1 into 1 67.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.633 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.633 * [backup-simplify]: Simplify (- 0) into 0 67.633 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.633 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.634 * [backup-simplify]: Simplify (+ 0) into 0 67.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.636 * [backup-simplify]: Simplify (- 0) into 0 67.637 * [backup-simplify]: Simplify (+ 0 0) into 0 67.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 67.638 * [backup-simplify]: Simplify 0 into 0 67.638 * [taylor]: Taking taylor expansion of 0 in J 67.638 * [backup-simplify]: Simplify 0 into 0 67.638 * [backup-simplify]: Simplify 0 into 0 67.638 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 67.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 67.639 * [taylor]: Taking taylor expansion of 0 in J 67.639 * [backup-simplify]: Simplify 0 into 0 67.639 * [backup-simplify]: Simplify 0 into 0 67.639 * [backup-simplify]: Simplify 0 into 0 67.639 * [backup-simplify]: Simplify 0 into 0 67.640 * [backup-simplify]: Simplify (+ 0) into 0 67.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.641 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.642 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.642 * [backup-simplify]: Simplify (- 0) into 0 67.642 * [backup-simplify]: Simplify (+ 0 0) into 0 67.643 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 67.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 67.643 * [backup-simplify]: Simplify 0 into 0 67.644 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 67.644 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 67.644 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 67.644 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 67.644 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 67.644 * [taylor]: Taking taylor expansion of 1 in J 67.645 * [backup-simplify]: Simplify 1 into 1 67.645 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 67.645 * [taylor]: Taking taylor expansion of 1/4 in J 67.645 * [backup-simplify]: Simplify 1/4 into 1/4 67.645 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 67.645 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.645 * [taylor]: Taking taylor expansion of J in J 67.645 * [backup-simplify]: Simplify 0 into 0 67.645 * [backup-simplify]: Simplify 1 into 1 67.645 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 67.645 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.645 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.645 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.645 * [taylor]: Taking taylor expansion of -1/2 in J 67.645 * [backup-simplify]: Simplify -1/2 into -1/2 67.645 * [taylor]: Taking taylor expansion of K in J 67.645 * [backup-simplify]: Simplify K into K 67.645 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.645 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.645 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.645 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.646 * [backup-simplify]: Simplify (- 0) into 0 67.646 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.646 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.646 * [taylor]: Taking taylor expansion of U in J 67.646 * [backup-simplify]: Simplify U into U 67.646 * [backup-simplify]: Simplify (* 1 1) into 1 67.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.647 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.647 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.647 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.647 * [backup-simplify]: Simplify (+ 1 0) into 1 67.648 * [backup-simplify]: Simplify (sqrt 1) into 1 67.648 * [backup-simplify]: Simplify (+ 0 0) into 0 67.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.649 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 67.649 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 67.649 * [taylor]: Taking taylor expansion of 1 in K 67.649 * [backup-simplify]: Simplify 1 into 1 67.649 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 67.649 * [taylor]: Taking taylor expansion of 1/4 in K 67.649 * [backup-simplify]: Simplify 1/4 into 1/4 67.649 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 67.649 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.649 * [taylor]: Taking taylor expansion of J in K 67.649 * [backup-simplify]: Simplify J into J 67.649 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 67.649 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.649 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.649 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.649 * [taylor]: Taking taylor expansion of -1/2 in K 67.649 * [backup-simplify]: Simplify -1/2 into -1/2 67.649 * [taylor]: Taking taylor expansion of K in K 67.650 * [backup-simplify]: Simplify 0 into 0 67.650 * [backup-simplify]: Simplify 1 into 1 67.650 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.650 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.650 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.650 * [taylor]: Taking taylor expansion of U in K 67.650 * [backup-simplify]: Simplify U into U 67.650 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.650 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.651 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.651 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.651 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 67.652 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 67.652 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 67.652 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.652 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.653 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 67.653 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 67.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 67.654 * [backup-simplify]: Simplify (+ 0 0) into 0 67.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 67.655 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.655 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.655 * [taylor]: Taking taylor expansion of 1 in U 67.655 * [backup-simplify]: Simplify 1 into 1 67.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.655 * [taylor]: Taking taylor expansion of 1/4 in U 67.655 * [backup-simplify]: Simplify 1/4 into 1/4 67.655 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.655 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.655 * [taylor]: Taking taylor expansion of J in U 67.655 * [backup-simplify]: Simplify J into J 67.655 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.655 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.655 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.655 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.655 * [taylor]: Taking taylor expansion of -1/2 in U 67.655 * [backup-simplify]: Simplify -1/2 into -1/2 67.655 * [taylor]: Taking taylor expansion of K in U 67.655 * [backup-simplify]: Simplify K into K 67.655 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.656 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.656 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.659 * [backup-simplify]: Simplify (- 0) into 0 67.659 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.659 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.659 * [taylor]: Taking taylor expansion of U in U 67.659 * [backup-simplify]: Simplify 0 into 0 67.659 * [backup-simplify]: Simplify 1 into 1 67.659 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.660 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.660 * [backup-simplify]: Simplify (* 1 1) into 1 67.660 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.661 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.661 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.661 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.661 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.661 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.662 * [backup-simplify]: Simplify (+ 0) into 0 67.663 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.663 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.664 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.665 * [backup-simplify]: Simplify (- 0) into 0 67.665 * [backup-simplify]: Simplify (+ 0 0) into 0 67.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.666 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.666 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.667 * [backup-simplify]: Simplify (+ 0 0) into 0 67.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.668 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.668 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.668 * [taylor]: Taking taylor expansion of 1 in U 67.668 * [backup-simplify]: Simplify 1 into 1 67.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.668 * [taylor]: Taking taylor expansion of 1/4 in U 67.668 * [backup-simplify]: Simplify 1/4 into 1/4 67.668 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.668 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.668 * [taylor]: Taking taylor expansion of J in U 67.668 * [backup-simplify]: Simplify J into J 67.668 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.668 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.668 * [taylor]: Taking taylor expansion of -1/2 in U 67.668 * [backup-simplify]: Simplify -1/2 into -1/2 67.668 * [taylor]: Taking taylor expansion of K in U 67.668 * [backup-simplify]: Simplify K into K 67.668 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.668 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.669 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.669 * [backup-simplify]: Simplify (- 0) into 0 67.669 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.669 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.669 * [taylor]: Taking taylor expansion of U in U 67.669 * [backup-simplify]: Simplify 0 into 0 67.669 * [backup-simplify]: Simplify 1 into 1 67.669 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.670 * [backup-simplify]: Simplify (* 1 1) into 1 67.670 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.670 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.670 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.671 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.671 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.671 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.672 * [backup-simplify]: Simplify (+ 0) into 0 67.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.673 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.674 * [backup-simplify]: Simplify (- 0) into 0 67.675 * [backup-simplify]: Simplify (+ 0 0) into 0 67.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.675 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.676 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.677 * [backup-simplify]: Simplify (+ 0 0) into 0 67.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 67.677 * [taylor]: Taking taylor expansion of 1/2 in K 67.677 * [backup-simplify]: Simplify 1/2 into 1/2 67.677 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 67.677 * [taylor]: Taking taylor expansion of J in K 67.677 * [backup-simplify]: Simplify J into J 67.677 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.677 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.677 * [taylor]: Taking taylor expansion of -1/2 in K 67.677 * [backup-simplify]: Simplify -1/2 into -1/2 67.678 * [taylor]: Taking taylor expansion of K in K 67.678 * [backup-simplify]: Simplify 0 into 0 67.678 * [backup-simplify]: Simplify 1 into 1 67.678 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.678 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.678 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 67.678 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 67.679 * [taylor]: Taking taylor expansion of 1/2 in J 67.679 * [backup-simplify]: Simplify 1/2 into 1/2 67.679 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 67.679 * [taylor]: Taking taylor expansion of J in J 67.679 * [backup-simplify]: Simplify 0 into 0 67.679 * [backup-simplify]: Simplify 1 into 1 67.679 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.679 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.679 * [taylor]: Taking taylor expansion of -1/2 in J 67.679 * [backup-simplify]: Simplify -1/2 into -1/2 67.679 * [taylor]: Taking taylor expansion of K in J 67.679 * [backup-simplify]: Simplify K into K 67.679 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.679 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.679 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.679 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.679 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.680 * [backup-simplify]: Simplify (- 0) into 0 67.680 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.680 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 67.680 * [taylor]: Taking taylor expansion of 0 in K 67.680 * [backup-simplify]: Simplify 0 into 0 67.680 * [taylor]: Taking taylor expansion of 0 in J 67.680 * [backup-simplify]: Simplify 0 into 0 67.680 * [backup-simplify]: Simplify 0 into 0 67.681 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 67.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 67.681 * [taylor]: Taking taylor expansion of 0 in J 67.681 * [backup-simplify]: Simplify 0 into 0 67.681 * [backup-simplify]: Simplify 0 into 0 67.681 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 67.681 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 67.682 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.685 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.686 * [backup-simplify]: Simplify (- 0) into 0 67.687 * [backup-simplify]: Simplify (+ 0 0) into 0 67.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.688 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 67.688 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.689 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 67.690 * [backup-simplify]: Simplify (+ 1 0) into 1 67.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 67.691 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 67.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.691 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.691 * [taylor]: Taking taylor expansion of -1/2 in K 67.691 * [backup-simplify]: Simplify -1/2 into -1/2 67.691 * [taylor]: Taking taylor expansion of K in K 67.691 * [backup-simplify]: Simplify 0 into 0 67.691 * [backup-simplify]: Simplify 1 into 1 67.691 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.691 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.691 * [taylor]: Taking taylor expansion of J in K 67.692 * [backup-simplify]: Simplify J into J 67.692 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.692 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 67.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.692 * [taylor]: Taking taylor expansion of -1/2 in J 67.692 * [backup-simplify]: Simplify -1/2 into -1/2 67.692 * [taylor]: Taking taylor expansion of K in J 67.692 * [backup-simplify]: Simplify K into K 67.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.692 * [taylor]: Taking taylor expansion of J in J 67.692 * [backup-simplify]: Simplify 0 into 0 67.692 * [backup-simplify]: Simplify 1 into 1 67.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.693 * [backup-simplify]: Simplify (- 0) into 0 67.693 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.693 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.693 * [backup-simplify]: Simplify (+ 0) into 0 67.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.694 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.695 * [backup-simplify]: Simplify (- 0) into 0 67.696 * [backup-simplify]: Simplify (+ 0 0) into 0 67.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 67.697 * [backup-simplify]: Simplify 0 into 0 67.697 * [taylor]: Taking taylor expansion of 0 in J 67.697 * [backup-simplify]: Simplify 0 into 0 67.697 * [backup-simplify]: Simplify 0 into 0 67.697 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 67.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 67.698 * [taylor]: Taking taylor expansion of 0 in J 67.698 * [backup-simplify]: Simplify 0 into 0 67.698 * [backup-simplify]: Simplify 0 into 0 67.698 * [backup-simplify]: Simplify 0 into 0 67.698 * [backup-simplify]: Simplify 0 into 0 67.699 * [backup-simplify]: Simplify (+ 0) into 0 67.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.699 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.701 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.701 * [backup-simplify]: Simplify (- 0) into 0 67.701 * [backup-simplify]: Simplify (+ 0 0) into 0 67.702 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 67.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 67.702 * [backup-simplify]: Simplify 0 into 0 67.703 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 67.703 * * * * [progress]: [ 2 / 4 ] generating series at (2) 67.704 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 67.704 * [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 67.704 * [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 67.704 * [taylor]: Taking taylor expansion of -2 in J 67.704 * [backup-simplify]: Simplify -2 into -2 67.704 * [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 67.704 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 67.704 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 67.704 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 67.704 * [taylor]: Taking taylor expansion of 1/2 in J 67.704 * [backup-simplify]: Simplify 1/2 into 1/2 67.704 * [taylor]: Taking taylor expansion of K in J 67.704 * [backup-simplify]: Simplify K into K 67.704 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.704 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.704 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.704 * [taylor]: Taking taylor expansion of J in J 67.704 * [backup-simplify]: Simplify 0 into 0 67.704 * [backup-simplify]: Simplify 1 into 1 67.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 67.704 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 67.704 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 67.705 * [taylor]: Taking taylor expansion of 1/4 in J 67.705 * [backup-simplify]: Simplify 1/4 into 1/4 67.705 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 67.705 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.705 * [taylor]: Taking taylor expansion of U in J 67.705 * [backup-simplify]: Simplify U into U 67.705 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 67.705 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 67.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 67.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 67.705 * [taylor]: Taking taylor expansion of 1/2 in J 67.705 * [backup-simplify]: Simplify 1/2 into 1/2 67.705 * [taylor]: Taking taylor expansion of K in J 67.705 * [backup-simplify]: Simplify K into K 67.705 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.705 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.705 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.705 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.705 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.706 * [backup-simplify]: Simplify (- 0) into 0 67.706 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.706 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.706 * [taylor]: Taking taylor expansion of J in J 67.706 * [backup-simplify]: Simplify 0 into 0 67.706 * [backup-simplify]: Simplify 1 into 1 67.706 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.706 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.706 * [backup-simplify]: Simplify (* 1 1) into 1 67.707 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 67.707 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 67.707 * [taylor]: Taking taylor expansion of 1 in J 67.707 * [backup-simplify]: Simplify 1 into 1 67.707 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.707 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.708 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 67.708 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.709 * [backup-simplify]: Simplify (+ 0) into 0 67.709 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.711 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.711 * [backup-simplify]: Simplify (- 0) into 0 67.712 * [backup-simplify]: Simplify (+ 0 0) into 0 67.712 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.712 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 67.713 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 67.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 67.714 * [backup-simplify]: Simplify (+ 0 0) into 0 67.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 67.714 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 67.714 * [taylor]: Taking taylor expansion of -2 in K 67.714 * [backup-simplify]: Simplify -2 into -2 67.714 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 67.714 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 67.714 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.714 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.714 * [taylor]: Taking taylor expansion of 1/2 in K 67.714 * [backup-simplify]: Simplify 1/2 into 1/2 67.714 * [taylor]: Taking taylor expansion of K in K 67.714 * [backup-simplify]: Simplify 0 into 0 67.714 * [backup-simplify]: Simplify 1 into 1 67.715 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.716 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.716 * [taylor]: Taking taylor expansion of J in K 67.716 * [backup-simplify]: Simplify J into J 67.716 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 67.716 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 67.716 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 67.716 * [taylor]: Taking taylor expansion of 1/4 in K 67.716 * [backup-simplify]: Simplify 1/4 into 1/4 67.716 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.716 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.716 * [taylor]: Taking taylor expansion of U in K 67.716 * [backup-simplify]: Simplify U into U 67.716 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.716 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.716 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.716 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.716 * [taylor]: Taking taylor expansion of 1/2 in K 67.716 * [backup-simplify]: Simplify 1/2 into 1/2 67.716 * [taylor]: Taking taylor expansion of K in K 67.716 * [backup-simplify]: Simplify 0 into 0 67.716 * [backup-simplify]: Simplify 1 into 1 67.717 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.717 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.717 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.717 * [taylor]: Taking taylor expansion of J in K 67.717 * [backup-simplify]: Simplify J into J 67.718 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.718 * [backup-simplify]: Simplify (* 1 1) into 1 67.718 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.718 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.718 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 67.718 * [taylor]: Taking taylor expansion of 1 in K 67.718 * [backup-simplify]: Simplify 1 into 1 67.719 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 67.719 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 67.719 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 67.719 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.719 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.720 * [backup-simplify]: Simplify (+ 0) into 0 67.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.721 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.722 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 67.722 * [backup-simplify]: Simplify (+ 0 0) into 0 67.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 67.722 * [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 67.723 * [taylor]: Taking taylor expansion of -2 in U 67.723 * [backup-simplify]: Simplify -2 into -2 67.723 * [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 67.723 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 67.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.723 * [taylor]: Taking taylor expansion of 1/2 in U 67.723 * [backup-simplify]: Simplify 1/2 into 1/2 67.723 * [taylor]: Taking taylor expansion of K in U 67.723 * [backup-simplify]: Simplify K into K 67.723 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.723 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.723 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.723 * [taylor]: Taking taylor expansion of J in U 67.723 * [backup-simplify]: Simplify J into J 67.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.723 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.723 * [taylor]: Taking taylor expansion of 1/4 in U 67.723 * [backup-simplify]: Simplify 1/4 into 1/4 67.723 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.723 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.723 * [taylor]: Taking taylor expansion of U in U 67.723 * [backup-simplify]: Simplify 0 into 0 67.723 * [backup-simplify]: Simplify 1 into 1 67.723 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.723 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.723 * [taylor]: Taking taylor expansion of 1/2 in U 67.723 * [backup-simplify]: Simplify 1/2 into 1/2 67.723 * [taylor]: Taking taylor expansion of K in U 67.723 * [backup-simplify]: Simplify K into K 67.724 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.724 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.724 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.724 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.724 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.724 * [backup-simplify]: Simplify (- 0) into 0 67.724 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.724 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.724 * [taylor]: Taking taylor expansion of J in U 67.724 * [backup-simplify]: Simplify J into J 67.725 * [backup-simplify]: Simplify (* 1 1) into 1 67.725 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.725 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.725 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.725 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.725 * [taylor]: Taking taylor expansion of 1 in U 67.725 * [backup-simplify]: Simplify 1 into 1 67.726 * [backup-simplify]: Simplify (+ 0 1) into 1 67.726 * [backup-simplify]: Simplify (sqrt 1) into 1 67.727 * [backup-simplify]: Simplify (+ 0 0) into 0 67.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.727 * [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 67.727 * [taylor]: Taking taylor expansion of -2 in U 67.727 * [backup-simplify]: Simplify -2 into -2 67.727 * [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 67.727 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 67.727 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.727 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.728 * [taylor]: Taking taylor expansion of 1/2 in U 67.728 * [backup-simplify]: Simplify 1/2 into 1/2 67.728 * [taylor]: Taking taylor expansion of K in U 67.728 * [backup-simplify]: Simplify K into K 67.728 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.728 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.728 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.728 * [taylor]: Taking taylor expansion of J in U 67.728 * [backup-simplify]: Simplify J into J 67.728 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.728 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.728 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.728 * [taylor]: Taking taylor expansion of 1/4 in U 67.728 * [backup-simplify]: Simplify 1/4 into 1/4 67.728 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.728 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.728 * [taylor]: Taking taylor expansion of U in U 67.728 * [backup-simplify]: Simplify 0 into 0 67.728 * [backup-simplify]: Simplify 1 into 1 67.728 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.728 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.728 * [taylor]: Taking taylor expansion of 1/2 in U 67.728 * [backup-simplify]: Simplify 1/2 into 1/2 67.728 * [taylor]: Taking taylor expansion of K in U 67.728 * [backup-simplify]: Simplify K into K 67.728 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.728 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.729 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.729 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.729 * [backup-simplify]: Simplify (- 0) into 0 67.729 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.729 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.729 * [taylor]: Taking taylor expansion of J in U 67.729 * [backup-simplify]: Simplify J into J 67.730 * [backup-simplify]: Simplify (* 1 1) into 1 67.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.730 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.730 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.730 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.730 * [taylor]: Taking taylor expansion of 1 in U 67.730 * [backup-simplify]: Simplify 1 into 1 67.731 * [backup-simplify]: Simplify (+ 0 1) into 1 67.731 * [backup-simplify]: Simplify (sqrt 1) into 1 67.732 * [backup-simplify]: Simplify (+ 0 0) into 0 67.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.733 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.733 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.733 * [backup-simplify]: Simplify (- 0) into 0 67.733 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.733 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 67.733 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 67.733 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 67.733 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 67.733 * [taylor]: Taking taylor expansion of -2 in K 67.733 * [backup-simplify]: Simplify -2 into -2 67.734 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 67.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.734 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.734 * [taylor]: Taking taylor expansion of 1/2 in K 67.734 * [backup-simplify]: Simplify 1/2 into 1/2 67.734 * [taylor]: Taking taylor expansion of K in K 67.734 * [backup-simplify]: Simplify 0 into 0 67.734 * [backup-simplify]: Simplify 1 into 1 67.734 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.735 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.735 * [taylor]: Taking taylor expansion of J in K 67.735 * [backup-simplify]: Simplify J into J 67.735 * [backup-simplify]: Simplify (* 1 J) into J 67.735 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 67.735 * [taylor]: Taking taylor expansion of (* -2 J) in J 67.735 * [taylor]: Taking taylor expansion of -2 in J 67.735 * [backup-simplify]: Simplify -2 into -2 67.735 * [taylor]: Taking taylor expansion of J in J 67.735 * [backup-simplify]: Simplify 0 into 0 67.735 * [backup-simplify]: Simplify 1 into 1 67.736 * [backup-simplify]: Simplify (+ 0) into 0 67.736 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.738 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.738 * [backup-simplify]: Simplify (- 0) into 0 67.739 * [backup-simplify]: Simplify (+ 0 0) into 0 67.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 67.739 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 67.740 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 67.740 * [taylor]: Taking taylor expansion of 0 in K 67.740 * [backup-simplify]: Simplify 0 into 0 67.740 * [taylor]: Taking taylor expansion of 0 in J 67.740 * [backup-simplify]: Simplify 0 into 0 67.740 * [backup-simplify]: Simplify (+ 0) into 0 67.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 67.741 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 67.741 * [taylor]: Taking taylor expansion of 0 in J 67.741 * [backup-simplify]: Simplify 0 into 0 67.742 * [backup-simplify]: Simplify (* -2 0) into 0 67.742 * [backup-simplify]: Simplify 0 into 0 67.742 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.742 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 67.744 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 67.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.748 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.748 * [backup-simplify]: Simplify (- 0) into 0 67.749 * [backup-simplify]: Simplify (+ 0 0) into 0 67.749 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 67.750 * [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))) 67.751 * [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)))) 67.751 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 67.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 67.751 * [taylor]: Taking taylor expansion of 1/4 in K 67.751 * [backup-simplify]: Simplify 1/4 into 1/4 67.751 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 67.751 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 67.751 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.751 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.751 * [taylor]: Taking taylor expansion of 1/2 in K 67.751 * [backup-simplify]: Simplify 1/2 into 1/2 67.751 * [taylor]: Taking taylor expansion of K in K 67.751 * [backup-simplify]: Simplify 0 into 0 67.751 * [backup-simplify]: Simplify 1 into 1 67.752 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.752 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.752 * [taylor]: Taking taylor expansion of J in K 67.752 * [backup-simplify]: Simplify J into J 67.752 * [backup-simplify]: Simplify (* 1 J) into J 67.753 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 67.753 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 67.753 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 67.753 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 67.753 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 67.753 * [taylor]: Taking taylor expansion of 1/4 in J 67.753 * [backup-simplify]: Simplify 1/4 into 1/4 67.753 * [taylor]: Taking taylor expansion of (/ 1 J) in J 67.753 * [taylor]: Taking taylor expansion of J in J 67.753 * [backup-simplify]: Simplify 0 into 0 67.753 * [backup-simplify]: Simplify 1 into 1 67.753 * [backup-simplify]: Simplify (/ 1 1) into 1 67.754 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 67.754 * [backup-simplify]: Simplify (- 1/4) into -1/4 67.754 * [backup-simplify]: Simplify -1/4 into -1/4 67.754 * [taylor]: Taking taylor expansion of 0 in J 67.754 * [backup-simplify]: Simplify 0 into 0 67.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 67.757 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 67.757 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 67.757 * [taylor]: Taking taylor expansion of 1/4 in J 67.757 * [backup-simplify]: Simplify 1/4 into 1/4 67.757 * [taylor]: Taking taylor expansion of J in J 67.757 * [backup-simplify]: Simplify 0 into 0 67.757 * [backup-simplify]: Simplify 1 into 1 67.757 * [backup-simplify]: Simplify 0 into 0 67.757 * [backup-simplify]: Simplify 0 into 0 67.758 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 67.758 * [backup-simplify]: Simplify -2 into -2 67.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.758 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.759 * [backup-simplify]: Simplify (+ 0) into 0 67.759 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.761 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.761 * [backup-simplify]: Simplify (- 0) into 0 67.762 * [backup-simplify]: Simplify (+ 0 0) into 0 67.762 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.762 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 67.763 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 67.763 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 67.764 * [backup-simplify]: Simplify (+ 0 0) into 0 67.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 67.765 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.766 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 67.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.770 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.770 * [backup-simplify]: Simplify (- 0) into 0 67.771 * [backup-simplify]: Simplify (+ 0 0) into 0 67.772 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.773 * [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 67.774 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 67.774 * [taylor]: Taking taylor expansion of 0 in K 67.774 * [backup-simplify]: Simplify 0 into 0 67.774 * [taylor]: Taking taylor expansion of 0 in J 67.774 * [backup-simplify]: Simplify 0 into 0 67.774 * [backup-simplify]: Simplify (+ 0) into 0 67.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 67.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 67.775 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 67.776 * [backup-simplify]: Simplify (- 0) into 0 67.776 * [taylor]: Taking taylor expansion of 0 in J 67.776 * [backup-simplify]: Simplify 0 into 0 67.776 * [taylor]: Taking taylor expansion of 0 in J 67.776 * [backup-simplify]: Simplify 0 into 0 67.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 67.778 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 67.780 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 67.780 * [taylor]: Taking taylor expansion of 0 in J 67.780 * [backup-simplify]: Simplify 0 into 0 67.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 67.782 * [backup-simplify]: Simplify (- 0) into 0 67.782 * [backup-simplify]: Simplify 0 into 0 67.782 * [backup-simplify]: Simplify 0 into 0 67.783 * [backup-simplify]: Simplify (* 1/4 0) into 0 67.783 * [backup-simplify]: Simplify 0 into 0 67.783 * [backup-simplify]: Simplify 0 into 0 67.783 * [backup-simplify]: Simplify 0 into 0 67.784 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 67.784 * [backup-simplify]: Simplify 0 into 0 67.785 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 67.786 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (* (* (cbrt (cbrt (cos (/ (/ 1 K) 2)))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2)))))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 67.786 * [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 67.786 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 67.786 * [taylor]: Taking taylor expansion of -2 in J 67.786 * [backup-simplify]: Simplify -2 into -2 67.786 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 67.786 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 67.786 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 67.786 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 67.786 * [taylor]: Taking taylor expansion of 1/4 in J 67.786 * [backup-simplify]: Simplify 1/4 into 1/4 67.786 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 67.786 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.786 * [taylor]: Taking taylor expansion of J in J 67.787 * [backup-simplify]: Simplify 0 into 0 67.787 * [backup-simplify]: Simplify 1 into 1 67.787 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 67.787 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.787 * [taylor]: Taking taylor expansion of U in J 67.787 * [backup-simplify]: Simplify U into U 67.787 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.787 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.787 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.787 * [taylor]: Taking taylor expansion of 1/2 in J 67.787 * [backup-simplify]: Simplify 1/2 into 1/2 67.787 * [taylor]: Taking taylor expansion of K in J 67.787 * [backup-simplify]: Simplify K into K 67.787 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.787 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.787 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.787 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.787 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.788 * [backup-simplify]: Simplify (- 0) into 0 67.788 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.789 * [backup-simplify]: Simplify (* 1 1) into 1 67.789 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.789 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.789 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.789 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.789 * [taylor]: Taking taylor expansion of 1 in J 67.789 * [backup-simplify]: Simplify 1 into 1 67.790 * [backup-simplify]: Simplify (+ 0 1) into 1 67.790 * [backup-simplify]: Simplify (sqrt 1) into 1 67.790 * [backup-simplify]: Simplify (+ 0 0) into 0 67.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.791 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 67.791 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.791 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.791 * [taylor]: Taking taylor expansion of 1/2 in J 67.791 * [backup-simplify]: Simplify 1/2 into 1/2 67.791 * [taylor]: Taking taylor expansion of K in J 67.791 * [backup-simplify]: Simplify K into K 67.792 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.792 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.792 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.792 * [taylor]: Taking taylor expansion of J in J 67.792 * [backup-simplify]: Simplify 0 into 0 67.792 * [backup-simplify]: Simplify 1 into 1 67.792 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.792 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.792 * [backup-simplify]: Simplify (- 0) into 0 67.792 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.793 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.793 * [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 67.793 * [taylor]: Taking taylor expansion of -2 in K 67.793 * [backup-simplify]: Simplify -2 into -2 67.793 * [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 67.793 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 67.793 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 67.793 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 67.793 * [taylor]: Taking taylor expansion of 1/4 in K 67.793 * [backup-simplify]: Simplify 1/4 into 1/4 67.793 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 67.793 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.793 * [taylor]: Taking taylor expansion of J in K 67.793 * [backup-simplify]: Simplify J into J 67.793 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 67.793 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.793 * [taylor]: Taking taylor expansion of U in K 67.793 * [backup-simplify]: Simplify U into U 67.793 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.793 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.793 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.793 * [taylor]: Taking taylor expansion of 1/2 in K 67.793 * [backup-simplify]: Simplify 1/2 into 1/2 67.793 * [taylor]: Taking taylor expansion of K in K 67.793 * [backup-simplify]: Simplify 0 into 0 67.793 * [backup-simplify]: Simplify 1 into 1 67.794 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.794 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.794 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.794 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.794 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.794 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.795 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.795 * [taylor]: Taking taylor expansion of 1 in K 67.795 * [backup-simplify]: Simplify 1 into 1 67.795 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 67.795 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 67.796 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 67.796 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.796 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.796 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.797 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.798 * [backup-simplify]: Simplify (+ 0 0) into 0 67.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 67.799 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 67.799 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.799 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.799 * [taylor]: Taking taylor expansion of 1/2 in K 67.799 * [backup-simplify]: Simplify 1/2 into 1/2 67.799 * [taylor]: Taking taylor expansion of K in K 67.799 * [backup-simplify]: Simplify 0 into 0 67.799 * [backup-simplify]: Simplify 1 into 1 67.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.800 * [taylor]: Taking taylor expansion of J in K 67.800 * [backup-simplify]: Simplify J into J 67.800 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.800 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 67.800 * [taylor]: Taking taylor expansion of -2 in U 67.800 * [backup-simplify]: Simplify -2 into -2 67.800 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 67.800 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.800 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.800 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.800 * [taylor]: Taking taylor expansion of 1/4 in U 67.800 * [backup-simplify]: Simplify 1/4 into 1/4 67.800 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.800 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.800 * [taylor]: Taking taylor expansion of J in U 67.800 * [backup-simplify]: Simplify J into J 67.800 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.800 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.800 * [taylor]: Taking taylor expansion of U in U 67.800 * [backup-simplify]: Simplify 0 into 0 67.800 * [backup-simplify]: Simplify 1 into 1 67.800 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.800 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.800 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.800 * [taylor]: Taking taylor expansion of 1/2 in U 67.800 * [backup-simplify]: Simplify 1/2 into 1/2 67.800 * [taylor]: Taking taylor expansion of K in U 67.800 * [backup-simplify]: Simplify K into K 67.801 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.801 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.801 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.801 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.801 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.801 * [backup-simplify]: Simplify (- 0) into 0 67.801 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.801 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.802 * [backup-simplify]: Simplify (* 1 1) into 1 67.802 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.802 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.802 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.802 * [taylor]: Taking taylor expansion of 1 in U 67.802 * [backup-simplify]: Simplify 1 into 1 67.802 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.803 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.803 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.803 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.804 * [backup-simplify]: Simplify (+ 0) into 0 67.804 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.804 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.805 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.806 * [backup-simplify]: Simplify (- 0) into 0 67.806 * [backup-simplify]: Simplify (+ 0 0) into 0 67.806 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.808 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.809 * [backup-simplify]: Simplify (+ 0 0) into 0 67.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.809 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 67.809 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.809 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.809 * [taylor]: Taking taylor expansion of 1/2 in U 67.809 * [backup-simplify]: Simplify 1/2 into 1/2 67.809 * [taylor]: Taking taylor expansion of K in U 67.809 * [backup-simplify]: Simplify K into K 67.809 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.810 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.810 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.810 * [taylor]: Taking taylor expansion of J in U 67.810 * [backup-simplify]: Simplify J into J 67.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.810 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.810 * [backup-simplify]: Simplify (- 0) into 0 67.810 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.810 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.810 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 67.810 * [taylor]: Taking taylor expansion of -2 in U 67.811 * [backup-simplify]: Simplify -2 into -2 67.811 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 67.811 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.811 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.811 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.811 * [taylor]: Taking taylor expansion of 1/4 in U 67.811 * [backup-simplify]: Simplify 1/4 into 1/4 67.811 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.811 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.811 * [taylor]: Taking taylor expansion of J in U 67.811 * [backup-simplify]: Simplify J into J 67.811 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.811 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.811 * [taylor]: Taking taylor expansion of U in U 67.811 * [backup-simplify]: Simplify 0 into 0 67.811 * [backup-simplify]: Simplify 1 into 1 67.811 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.811 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.811 * [taylor]: Taking taylor expansion of 1/2 in U 67.811 * [backup-simplify]: Simplify 1/2 into 1/2 67.811 * [taylor]: Taking taylor expansion of K in U 67.811 * [backup-simplify]: Simplify K into K 67.811 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.811 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.811 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.812 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.814 * [backup-simplify]: Simplify (- 0) into 0 67.814 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.814 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.814 * [backup-simplify]: Simplify (* 1 1) into 1 67.814 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.815 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.815 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.815 * [taylor]: Taking taylor expansion of 1 in U 67.815 * [backup-simplify]: Simplify 1 into 1 67.815 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.815 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.816 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.816 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.816 * [backup-simplify]: Simplify (+ 0) into 0 67.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.818 * [backup-simplify]: Simplify (- 0) into 0 67.819 * [backup-simplify]: Simplify (+ 0 0) into 0 67.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.820 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.821 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.821 * [backup-simplify]: Simplify (+ 0 0) into 0 67.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.822 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 67.822 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.822 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.822 * [taylor]: Taking taylor expansion of 1/2 in U 67.822 * [backup-simplify]: Simplify 1/2 into 1/2 67.822 * [taylor]: Taking taylor expansion of K in U 67.822 * [backup-simplify]: Simplify K into K 67.822 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.822 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.822 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.822 * [taylor]: Taking taylor expansion of J in U 67.822 * [backup-simplify]: Simplify J into J 67.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.822 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.822 * [backup-simplify]: Simplify (- 0) into 0 67.822 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.822 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.823 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 67.823 * [backup-simplify]: Simplify (* -2 1/2) into -1 67.823 * [taylor]: Taking taylor expansion of -1 in K 67.823 * [backup-simplify]: Simplify -1 into -1 67.823 * [taylor]: Taking taylor expansion of -1 in J 67.823 * [backup-simplify]: Simplify -1 into -1 67.823 * [backup-simplify]: Simplify (+ 0) into 0 67.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.824 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.825 * [backup-simplify]: Simplify (- 0) into 0 67.825 * [backup-simplify]: Simplify (+ 0 0) into 0 67.825 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 67.825 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 67.826 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 67.826 * [taylor]: Taking taylor expansion of 0 in K 67.826 * [backup-simplify]: Simplify 0 into 0 67.826 * [taylor]: Taking taylor expansion of 0 in J 67.826 * [backup-simplify]: Simplify 0 into 0 67.826 * [taylor]: Taking taylor expansion of 0 in J 67.826 * [backup-simplify]: Simplify 0 into 0 67.826 * [backup-simplify]: Simplify -1 into -1 67.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.827 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.827 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.827 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.828 * [backup-simplify]: Simplify (- 0) into 0 67.828 * [backup-simplify]: Simplify (+ 0 0) into 0 67.828 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.828 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.830 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.830 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.830 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.831 * [backup-simplify]: Simplify (- 0) into 0 67.831 * [backup-simplify]: Simplify (+ 0 0) into 0 67.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.832 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.833 * [backup-simplify]: Simplify (+ 0 1) into 1 67.834 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 67.834 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 67.835 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 67.835 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 67.835 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 67.835 * [taylor]: Taking taylor expansion of 2 in K 67.835 * [backup-simplify]: Simplify 2 into 2 67.835 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 67.835 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.835 * [taylor]: Taking taylor expansion of 1/2 in K 67.835 * [backup-simplify]: Simplify 1/2 into 1/2 67.835 * [taylor]: Taking taylor expansion of K in K 67.835 * [backup-simplify]: Simplify 0 into 0 67.835 * [backup-simplify]: Simplify 1 into 1 67.835 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.835 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.835 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.835 * [taylor]: Taking taylor expansion of J in K 67.835 * [backup-simplify]: Simplify J into J 67.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.836 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.836 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 67.836 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 67.836 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 67.836 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 67.836 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 67.836 * [taylor]: Taking taylor expansion of 2 in J 67.836 * [backup-simplify]: Simplify 2 into 2 67.836 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 67.836 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.836 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.836 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.836 * [taylor]: Taking taylor expansion of 1/2 in J 67.836 * [backup-simplify]: Simplify 1/2 into 1/2 67.836 * [taylor]: Taking taylor expansion of K in J 67.836 * [backup-simplify]: Simplify K into K 67.836 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.836 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.836 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.836 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.837 * [backup-simplify]: Simplify (- 0) into 0 67.837 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.837 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.837 * [taylor]: Taking taylor expansion of J in J 67.837 * [backup-simplify]: Simplify 0 into 0 67.837 * [backup-simplify]: Simplify 1 into 1 67.837 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.837 * [backup-simplify]: Simplify (* 1 1) into 1 67.837 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 67.837 * [backup-simplify]: Simplify (+ 0) into 0 67.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.838 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.839 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.839 * [backup-simplify]: Simplify (- 0) into 0 67.839 * [backup-simplify]: Simplify (+ 0 0) into 0 67.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 67.840 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.841 * [backup-simplify]: Simplify (- 0) into 0 67.841 * [backup-simplify]: Simplify 0 into 0 67.841 * [taylor]: Taking taylor expansion of 0 in J 67.841 * [backup-simplify]: Simplify 0 into 0 67.841 * [taylor]: Taking taylor expansion of 0 in J 67.841 * [backup-simplify]: Simplify 0 into 0 67.841 * [backup-simplify]: Simplify 0 into 0 67.841 * [backup-simplify]: Simplify 0 into 0 67.841 * [backup-simplify]: Simplify 0 into 0 67.841 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.842 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.843 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.844 * [backup-simplify]: Simplify (- 0) into 0 67.844 * [backup-simplify]: Simplify (+ 0 0) into 0 67.844 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.845 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.845 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.846 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.846 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.847 * [backup-simplify]: Simplify (- 0) into 0 67.847 * [backup-simplify]: Simplify (+ 0 0) into 0 67.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 67.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.850 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.851 * [backup-simplify]: Simplify (+ 0 0) into 0 67.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 67.852 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 67.852 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 67.852 * [taylor]: Taking taylor expansion of 0 in K 67.852 * [backup-simplify]: Simplify 0 into 0 67.852 * [taylor]: Taking taylor expansion of 0 in J 67.852 * [backup-simplify]: Simplify 0 into 0 67.853 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.853 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.853 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.853 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 67.853 * [backup-simplify]: Simplify (- 0) into 0 67.853 * [taylor]: Taking taylor expansion of 0 in J 67.853 * [backup-simplify]: Simplify 0 into 0 67.853 * [taylor]: Taking taylor expansion of 0 in J 67.853 * [backup-simplify]: Simplify 0 into 0 67.854 * [taylor]: Taking taylor expansion of 0 in J 67.854 * [backup-simplify]: Simplify 0 into 0 67.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.854 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.856 * [backup-simplify]: Simplify (- 0) into 0 67.856 * [backup-simplify]: Simplify (+ 0 0) into 0 67.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.860 * [backup-simplify]: Simplify (- 0) into 0 67.861 * [backup-simplify]: Simplify 0 into 0 67.861 * [backup-simplify]: Simplify 0 into 0 67.861 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 67.862 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (* (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 67.862 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 67.862 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 67.862 * [taylor]: Taking taylor expansion of 2 in J 67.862 * [backup-simplify]: Simplify 2 into 2 67.862 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 67.862 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 67.862 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.862 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.863 * [taylor]: Taking taylor expansion of -1/2 in J 67.863 * [backup-simplify]: Simplify -1/2 into -1/2 67.863 * [taylor]: Taking taylor expansion of K in J 67.863 * [backup-simplify]: Simplify K into K 67.863 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.863 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.863 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.863 * [taylor]: Taking taylor expansion of J in J 67.863 * [backup-simplify]: Simplify 0 into 0 67.863 * [backup-simplify]: Simplify 1 into 1 67.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.863 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.864 * [backup-simplify]: Simplify (- 0) into 0 67.864 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.864 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.864 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 67.864 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 67.864 * [taylor]: Taking taylor expansion of 1 in J 67.864 * [backup-simplify]: Simplify 1 into 1 67.864 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 67.864 * [taylor]: Taking taylor expansion of 1/4 in J 67.864 * [backup-simplify]: Simplify 1/4 into 1/4 67.864 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 67.864 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.864 * [taylor]: Taking taylor expansion of J in J 67.864 * [backup-simplify]: Simplify 0 into 0 67.864 * [backup-simplify]: Simplify 1 into 1 67.864 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 67.864 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.864 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.864 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.864 * [taylor]: Taking taylor expansion of -1/2 in J 67.864 * [backup-simplify]: Simplify -1/2 into -1/2 67.864 * [taylor]: Taking taylor expansion of K in J 67.864 * [backup-simplify]: Simplify K into K 67.864 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.864 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.864 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.865 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.865 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.865 * [backup-simplify]: Simplify (- 0) into 0 67.865 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.865 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.865 * [taylor]: Taking taylor expansion of U in J 67.865 * [backup-simplify]: Simplify U into U 67.866 * [backup-simplify]: Simplify (* 1 1) into 1 67.866 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.866 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.866 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.866 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.867 * [backup-simplify]: Simplify (+ 1 0) into 1 67.867 * [backup-simplify]: Simplify (sqrt 1) into 1 67.867 * [backup-simplify]: Simplify (+ 0 0) into 0 67.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.868 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 67.868 * [taylor]: Taking taylor expansion of 2 in K 67.868 * [backup-simplify]: Simplify 2 into 2 67.868 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 67.868 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 67.868 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.868 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.868 * [taylor]: Taking taylor expansion of -1/2 in K 67.868 * [backup-simplify]: Simplify -1/2 into -1/2 67.868 * [taylor]: Taking taylor expansion of K in K 67.868 * [backup-simplify]: Simplify 0 into 0 67.868 * [backup-simplify]: Simplify 1 into 1 67.869 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.869 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.869 * [taylor]: Taking taylor expansion of J in K 67.869 * [backup-simplify]: Simplify J into J 67.869 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.869 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 67.869 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 67.869 * [taylor]: Taking taylor expansion of 1 in K 67.869 * [backup-simplify]: Simplify 1 into 1 67.869 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 67.869 * [taylor]: Taking taylor expansion of 1/4 in K 67.869 * [backup-simplify]: Simplify 1/4 into 1/4 67.869 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 67.869 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.869 * [taylor]: Taking taylor expansion of J in K 67.869 * [backup-simplify]: Simplify J into J 67.869 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 67.869 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.869 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.869 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.869 * [taylor]: Taking taylor expansion of -1/2 in K 67.869 * [backup-simplify]: Simplify -1/2 into -1/2 67.869 * [taylor]: Taking taylor expansion of K in K 67.869 * [backup-simplify]: Simplify 0 into 0 67.870 * [backup-simplify]: Simplify 1 into 1 67.870 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.870 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.870 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.870 * [taylor]: Taking taylor expansion of U in K 67.870 * [backup-simplify]: Simplify U into U 67.870 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.870 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.870 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.871 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.871 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.871 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 67.871 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 67.872 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 67.872 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.872 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.872 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 67.872 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 67.873 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 67.873 * [backup-simplify]: Simplify (+ 0 0) into 0 67.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 67.873 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 67.873 * [taylor]: Taking taylor expansion of 2 in U 67.873 * [backup-simplify]: Simplify 2 into 2 67.873 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 67.873 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 67.873 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.873 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.873 * [taylor]: Taking taylor expansion of -1/2 in U 67.873 * [backup-simplify]: Simplify -1/2 into -1/2 67.873 * [taylor]: Taking taylor expansion of K in U 67.873 * [backup-simplify]: Simplify K into K 67.873 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.874 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.874 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.874 * [taylor]: Taking taylor expansion of J in U 67.874 * [backup-simplify]: Simplify J into J 67.874 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.874 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.874 * [backup-simplify]: Simplify (- 0) into 0 67.874 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.874 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.874 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.874 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.874 * [taylor]: Taking taylor expansion of 1 in U 67.874 * [backup-simplify]: Simplify 1 into 1 67.874 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.874 * [taylor]: Taking taylor expansion of 1/4 in U 67.874 * [backup-simplify]: Simplify 1/4 into 1/4 67.874 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.874 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.874 * [taylor]: Taking taylor expansion of J in U 67.874 * [backup-simplify]: Simplify J into J 67.874 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.874 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.874 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.874 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.874 * [taylor]: Taking taylor expansion of -1/2 in U 67.874 * [backup-simplify]: Simplify -1/2 into -1/2 67.874 * [taylor]: Taking taylor expansion of K in U 67.874 * [backup-simplify]: Simplify K into K 67.874 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.874 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.874 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.875 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.875 * [backup-simplify]: Simplify (- 0) into 0 67.875 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.875 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.875 * [taylor]: Taking taylor expansion of U in U 67.875 * [backup-simplify]: Simplify 0 into 0 67.875 * [backup-simplify]: Simplify 1 into 1 67.875 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.875 * [backup-simplify]: Simplify (* 1 1) into 1 67.875 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.876 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.876 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.876 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.876 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.876 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.877 * [backup-simplify]: Simplify (+ 0) into 0 67.877 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.877 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.877 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.878 * [backup-simplify]: Simplify (- 0) into 0 67.878 * [backup-simplify]: Simplify (+ 0 0) into 0 67.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.879 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.879 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.879 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.880 * [backup-simplify]: Simplify (+ 0 0) into 0 67.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.880 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 67.880 * [taylor]: Taking taylor expansion of 2 in U 67.880 * [backup-simplify]: Simplify 2 into 2 67.880 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 67.880 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 67.880 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.880 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.880 * [taylor]: Taking taylor expansion of -1/2 in U 67.880 * [backup-simplify]: Simplify -1/2 into -1/2 67.880 * [taylor]: Taking taylor expansion of K in U 67.880 * [backup-simplify]: Simplify K into K 67.880 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.880 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.880 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.880 * [taylor]: Taking taylor expansion of J in U 67.880 * [backup-simplify]: Simplify J into J 67.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.880 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.881 * [backup-simplify]: Simplify (- 0) into 0 67.881 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.881 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.881 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.881 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.881 * [taylor]: Taking taylor expansion of 1 in U 67.881 * [backup-simplify]: Simplify 1 into 1 67.881 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.881 * [taylor]: Taking taylor expansion of 1/4 in U 67.881 * [backup-simplify]: Simplify 1/4 into 1/4 67.881 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.881 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.881 * [taylor]: Taking taylor expansion of J in U 67.881 * [backup-simplify]: Simplify J into J 67.881 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.881 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.881 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.881 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.881 * [taylor]: Taking taylor expansion of -1/2 in U 67.881 * [backup-simplify]: Simplify -1/2 into -1/2 67.881 * [taylor]: Taking taylor expansion of K in U 67.881 * [backup-simplify]: Simplify K into K 67.881 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.881 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.881 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.881 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.882 * [backup-simplify]: Simplify (- 0) into 0 67.882 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.882 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.882 * [taylor]: Taking taylor expansion of U in U 67.882 * [backup-simplify]: Simplify 0 into 0 67.882 * [backup-simplify]: Simplify 1 into 1 67.882 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.882 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.882 * [backup-simplify]: Simplify (* 1 1) into 1 67.882 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.882 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.882 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.882 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.883 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.883 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.883 * [backup-simplify]: Simplify (+ 0) into 0 67.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.884 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.885 * [backup-simplify]: Simplify (- 0) into 0 67.885 * [backup-simplify]: Simplify (+ 0 0) into 0 67.885 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.885 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.886 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.886 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.886 * [backup-simplify]: Simplify (+ 0 0) into 0 67.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.887 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 67.887 * [backup-simplify]: Simplify (* 2 1/2) into 1 67.887 * [taylor]: Taking taylor expansion of 1 in K 67.887 * [backup-simplify]: Simplify 1 into 1 67.887 * [taylor]: Taking taylor expansion of 1 in J 67.887 * [backup-simplify]: Simplify 1 into 1 67.887 * [backup-simplify]: Simplify (+ 0) into 0 67.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.889 * [backup-simplify]: Simplify (- 0) into 0 67.889 * [backup-simplify]: Simplify (+ 0 0) into 0 67.889 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 67.889 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 67.889 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 67.890 * [taylor]: Taking taylor expansion of 0 in K 67.890 * [backup-simplify]: Simplify 0 into 0 67.890 * [taylor]: Taking taylor expansion of 0 in J 67.890 * [backup-simplify]: Simplify 0 into 0 67.890 * [taylor]: Taking taylor expansion of 0 in J 67.890 * [backup-simplify]: Simplify 0 into 0 67.890 * [backup-simplify]: Simplify 1 into 1 67.890 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.891 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.891 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.893 * [backup-simplify]: Simplify (- 0) into 0 67.893 * [backup-simplify]: Simplify (+ 0 0) into 0 67.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.894 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 67.894 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 67.895 * [backup-simplify]: Simplify (+ 1 0) into 1 67.895 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 67.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.896 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.897 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.897 * [backup-simplify]: Simplify (- 0) into 0 67.898 * [backup-simplify]: Simplify (+ 0 0) into 0 67.898 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.898 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 67.899 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 67.899 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 67.899 * [taylor]: Taking taylor expansion of 2 in K 67.899 * [backup-simplify]: Simplify 2 into 2 67.899 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 67.899 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.899 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.899 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.899 * [taylor]: Taking taylor expansion of -1/2 in K 67.899 * [backup-simplify]: Simplify -1/2 into -1/2 67.899 * [taylor]: Taking taylor expansion of K in K 67.899 * [backup-simplify]: Simplify 0 into 0 67.899 * [backup-simplify]: Simplify 1 into 1 67.899 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.899 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.900 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.900 * [taylor]: Taking taylor expansion of J in K 67.900 * [backup-simplify]: Simplify J into J 67.900 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.900 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.900 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 67.900 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 67.900 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 67.900 * [taylor]: Taking taylor expansion of 2 in J 67.900 * [backup-simplify]: Simplify 2 into 2 67.900 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 67.900 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.900 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.900 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.900 * [taylor]: Taking taylor expansion of -1/2 in J 67.900 * [backup-simplify]: Simplify -1/2 into -1/2 67.900 * [taylor]: Taking taylor expansion of K in J 67.900 * [backup-simplify]: Simplify K into K 67.900 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.901 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.901 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.901 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.901 * [backup-simplify]: Simplify (- 0) into 0 67.901 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.901 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.901 * [taylor]: Taking taylor expansion of J in J 67.901 * [backup-simplify]: Simplify 0 into 0 67.901 * [backup-simplify]: Simplify 1 into 1 67.902 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.902 * [backup-simplify]: Simplify (* 1 1) into 1 67.902 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.902 * [backup-simplify]: Simplify (+ 0) into 0 67.903 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.905 * [backup-simplify]: Simplify (- 0) into 0 67.905 * [backup-simplify]: Simplify (+ 0 0) into 0 67.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 67.908 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 67.908 * [backup-simplify]: Simplify 0 into 0 67.908 * [taylor]: Taking taylor expansion of 0 in J 67.908 * [backup-simplify]: Simplify 0 into 0 67.908 * [taylor]: Taking taylor expansion of 0 in J 67.908 * [backup-simplify]: Simplify 0 into 0 67.908 * [backup-simplify]: Simplify 0 into 0 67.908 * [backup-simplify]: Simplify 0 into 0 67.908 * [backup-simplify]: Simplify 0 into 0 67.909 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.911 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.912 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.915 * [backup-simplify]: Simplify (- 0) into 0 67.915 * [backup-simplify]: Simplify (+ 0 0) into 0 67.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 67.917 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.918 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.920 * [backup-simplify]: Simplify (+ 0 0) into 0 67.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 67.922 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.924 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.924 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.926 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.926 * [backup-simplify]: Simplify (- 0) into 0 67.927 * [backup-simplify]: Simplify (+ 0 0) into 0 67.927 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.928 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 67.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 67.929 * [taylor]: Taking taylor expansion of 0 in K 67.929 * [backup-simplify]: Simplify 0 into 0 67.929 * [taylor]: Taking taylor expansion of 0 in J 67.930 * [backup-simplify]: Simplify 0 into 0 67.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.930 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.930 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.931 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 67.931 * [taylor]: Taking taylor expansion of 0 in J 67.931 * [backup-simplify]: Simplify 0 into 0 67.931 * [taylor]: Taking taylor expansion of 0 in J 67.931 * [backup-simplify]: Simplify 0 into 0 67.931 * [taylor]: Taking taylor expansion of 0 in J 67.931 * [backup-simplify]: Simplify 0 into 0 67.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.933 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.935 * [backup-simplify]: Simplify (- 0) into 0 67.935 * [backup-simplify]: Simplify (+ 0 0) into 0 67.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 67.939 * [backup-simplify]: Simplify 0 into 0 67.939 * [backup-simplify]: Simplify 0 into 0 67.939 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 67.940 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 67.940 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 67.940 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 67.940 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.940 * [taylor]: Taking taylor expansion of 1/3 in K 67.940 * [backup-simplify]: Simplify 1/3 into 1/3 67.940 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.940 * [taylor]: Taking taylor expansion of 1/2 in K 67.940 * [backup-simplify]: Simplify 1/2 into 1/2 67.940 * [taylor]: Taking taylor expansion of K in K 67.940 * [backup-simplify]: Simplify 0 into 0 67.940 * [backup-simplify]: Simplify 1 into 1 67.941 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.941 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.942 * [backup-simplify]: Simplify (log 1) into 0 67.942 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.943 * [backup-simplify]: Simplify (+ 0) into 0 67.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.945 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.950 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.950 * [backup-simplify]: Simplify (exp 0) into 1 67.950 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.950 * [taylor]: Taking taylor expansion of 1/3 in K 67.950 * [backup-simplify]: Simplify 1/3 into 1/3 67.950 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.950 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.950 * [taylor]: Taking taylor expansion of 1/2 in K 67.950 * [backup-simplify]: Simplify 1/2 into 1/2 67.950 * [taylor]: Taking taylor expansion of K in K 67.950 * [backup-simplify]: Simplify 0 into 0 67.950 * [backup-simplify]: Simplify 1 into 1 67.950 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.951 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.952 * [backup-simplify]: Simplify (log 1) into 0 67.952 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.952 * [backup-simplify]: Simplify (+ 0) into 0 67.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.955 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.959 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.959 * [backup-simplify]: Simplify (exp 0) into 1 67.960 * [backup-simplify]: Simplify 1 into 1 67.961 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 67.961 * [backup-simplify]: Simplify 0 into 0 67.962 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 67.963 * [backup-simplify]: Simplify -1/24 into -1/24 67.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 67.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.970 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 67.972 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 67.974 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.974 * [backup-simplify]: Simplify 0 into 0 67.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 67.990 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 67.991 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 67.994 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 67.994 * [backup-simplify]: Simplify -1/1152 into -1/1152 67.995 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 67.995 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 67.995 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 67.995 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.995 * [taylor]: Taking taylor expansion of 1/3 in K 67.995 * [backup-simplify]: Simplify 1/3 into 1/3 67.995 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.995 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.995 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.995 * [taylor]: Taking taylor expansion of 1/2 in K 67.995 * [backup-simplify]: Simplify 1/2 into 1/2 67.995 * [taylor]: Taking taylor expansion of K in K 67.995 * [backup-simplify]: Simplify 0 into 0 67.995 * [backup-simplify]: Simplify 1 into 1 67.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.995 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.996 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.996 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.996 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.996 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.996 * [taylor]: Taking taylor expansion of 1/3 in K 67.996 * [backup-simplify]: Simplify 1/3 into 1/3 67.996 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.996 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.996 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.996 * [taylor]: Taking taylor expansion of 1/2 in K 67.996 * [backup-simplify]: Simplify 1/2 into 1/2 67.996 * [taylor]: Taking taylor expansion of K in K 67.996 * [backup-simplify]: Simplify 0 into 0 67.996 * [backup-simplify]: Simplify 1 into 1 67.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.996 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.996 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.996 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.996 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.997 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 67.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 67.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 67.998 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.998 * [backup-simplify]: Simplify 0 into 0 67.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 67.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 68.000 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.000 * [backup-simplify]: Simplify 0 into 0 68.002 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 68.003 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 68.004 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.004 * [backup-simplify]: Simplify 0 into 0 68.006 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 68.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 68.009 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.009 * [backup-simplify]: Simplify 0 into 0 68.013 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 68.014 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 68.016 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.016 * [backup-simplify]: Simplify 0 into 0 68.027 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 68.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 68.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.036 * [backup-simplify]: Simplify 0 into 0 68.036 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 68.036 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 68.036 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 68.036 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 68.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 68.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 68.036 * [taylor]: Taking taylor expansion of 1/3 in K 68.036 * [backup-simplify]: Simplify 1/3 into 1/3 68.036 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 68.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 68.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 68.036 * [taylor]: Taking taylor expansion of -1/2 in K 68.036 * [backup-simplify]: Simplify -1/2 into -1/2 68.036 * [taylor]: Taking taylor expansion of K in K 68.036 * [backup-simplify]: Simplify 0 into 0 68.036 * [backup-simplify]: Simplify 1 into 1 68.037 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 68.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 68.037 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 68.037 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 68.037 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 68.037 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 68.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 68.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 68.037 * [taylor]: Taking taylor expansion of 1/3 in K 68.038 * [backup-simplify]: Simplify 1/3 into 1/3 68.038 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 68.038 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 68.038 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 68.038 * [taylor]: Taking taylor expansion of -1/2 in K 68.038 * [backup-simplify]: Simplify -1/2 into -1/2 68.038 * [taylor]: Taking taylor expansion of K in K 68.038 * [backup-simplify]: Simplify 0 into 0 68.038 * [backup-simplify]: Simplify 1 into 1 68.038 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 68.038 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 68.038 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 68.038 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 68.039 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 68.039 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 68.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 68.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 68.041 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.041 * [backup-simplify]: Simplify 0 into 0 68.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 68.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 68.045 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.045 * [backup-simplify]: Simplify 0 into 0 68.050 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 68.051 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 68.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.053 * [backup-simplify]: Simplify 0 into 0 68.057 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 68.059 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 68.062 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.062 * [backup-simplify]: Simplify 0 into 0 68.070 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 68.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 68.076 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.076 * [backup-simplify]: Simplify 0 into 0 68.088 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 68.091 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 68.094 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.094 * [backup-simplify]: Simplify 0 into 0 68.094 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 68.094 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1) 68.094 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 68.094 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 68.094 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 68.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 68.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 68.095 * [taylor]: Taking taylor expansion of 1/3 in K 68.095 * [backup-simplify]: Simplify 1/3 into 1/3 68.095 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 68.095 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 68.095 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 68.095 * [taylor]: Taking taylor expansion of 1/2 in K 68.095 * [backup-simplify]: Simplify 1/2 into 1/2 68.095 * [taylor]: Taking taylor expansion of K in K 68.095 * [backup-simplify]: Simplify 0 into 0 68.095 * [backup-simplify]: Simplify 1 into 1 68.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 68.095 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 68.096 * [backup-simplify]: Simplify (log 1) into 0 68.096 * [backup-simplify]: Simplify (* 1/3 0) into 0 68.096 * [backup-simplify]: Simplify (+ 0) into 0 68.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 68.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 68.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 68.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 68.100 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 68.100 * [backup-simplify]: Simplify (exp 0) into 1 68.100 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 68.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 68.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 68.100 * [taylor]: Taking taylor expansion of 1/3 in K 68.100 * [backup-simplify]: Simplify 1/3 into 1/3 68.100 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 68.100 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 68.100 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 68.100 * [taylor]: Taking taylor expansion of 1/2 in K 68.100 * [backup-simplify]: Simplify 1/2 into 1/2 68.100 * [taylor]: Taking taylor expansion of K in K 68.100 * [backup-simplify]: Simplify 0 into 0 68.100 * [backup-simplify]: Simplify 1 into 1 68.101 * [backup-simplify]: Simplify (* 1/2 0) into 0 68.101 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 68.101 * [backup-simplify]: Simplify (log 1) into 0 68.102 * [backup-simplify]: Simplify (* 1/3 0) into 0 68.102 * [backup-simplify]: Simplify (+ 0) into 0 68.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 68.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 68.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 68.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 68.106 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 68.106 * [backup-simplify]: Simplify (exp 0) into 1 68.106 * [backup-simplify]: Simplify 1 into 1 68.106 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 68.106 * [backup-simplify]: Simplify 0 into 0 68.107 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 68.107 * [backup-simplify]: Simplify -1/24 into -1/24 68.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 68.109 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 68.112 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 68.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 68.114 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.114 * [backup-simplify]: Simplify 0 into 0 68.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 68.116 * [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 68.122 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 68.123 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 68.128 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 68.128 * [backup-simplify]: Simplify -1/1152 into -1/1152 68.128 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 68.128 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 68.128 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 68.129 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 68.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 68.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 68.129 * [taylor]: Taking taylor expansion of 1/3 in K 68.129 * [backup-simplify]: Simplify 1/3 into 1/3 68.129 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 68.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 68.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 68.129 * [taylor]: Taking taylor expansion of 1/2 in K 68.129 * [backup-simplify]: Simplify 1/2 into 1/2 68.129 * [taylor]: Taking taylor expansion of K in K 68.129 * [backup-simplify]: Simplify 0 into 0 68.129 * [backup-simplify]: Simplify 1 into 1 68.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 68.129 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 68.129 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 68.130 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 68.130 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 68.130 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 68.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 68.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 68.130 * [taylor]: Taking taylor expansion of 1/3 in K 68.130 * [backup-simplify]: Simplify 1/3 into 1/3 68.130 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 68.130 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 68.130 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 68.130 * [taylor]: Taking taylor expansion of 1/2 in K 68.130 * [backup-simplify]: Simplify 1/2 into 1/2 68.130 * [taylor]: Taking taylor expansion of K in K 68.130 * [backup-simplify]: Simplify 0 into 0 68.130 * [backup-simplify]: Simplify 1 into 1 68.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 68.130 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 68.131 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 68.131 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 68.131 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 68.131 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 68.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 68.132 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 68.133 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.133 * [backup-simplify]: Simplify 0 into 0 68.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 68.135 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 68.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.137 * [backup-simplify]: Simplify 0 into 0 68.139 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 68.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 68.142 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.143 * [backup-simplify]: Simplify 0 into 0 68.147 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 68.149 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 68.152 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.152 * [backup-simplify]: Simplify 0 into 0 68.159 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 68.161 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 68.165 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.165 * [backup-simplify]: Simplify 0 into 0 68.177 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 68.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 68.182 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.182 * [backup-simplify]: Simplify 0 into 0 68.182 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 68.182 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 68.182 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 68.182 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 68.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 68.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 68.182 * [taylor]: Taking taylor expansion of 1/3 in K 68.182 * [backup-simplify]: Simplify 1/3 into 1/3 68.182 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 68.182 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 68.182 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 68.182 * [taylor]: Taking taylor expansion of -1/2 in K 68.183 * [backup-simplify]: Simplify -1/2 into -1/2 68.183 * [taylor]: Taking taylor expansion of K in K 68.183 * [backup-simplify]: Simplify 0 into 0 68.183 * [backup-simplify]: Simplify 1 into 1 68.183 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 68.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 68.183 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 68.183 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 68.183 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 68.183 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 68.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 68.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 68.183 * [taylor]: Taking taylor expansion of 1/3 in K 68.183 * [backup-simplify]: Simplify 1/3 into 1/3 68.183 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 68.183 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 68.183 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 68.183 * [taylor]: Taking taylor expansion of -1/2 in K 68.183 * [backup-simplify]: Simplify -1/2 into -1/2 68.183 * [taylor]: Taking taylor expansion of K in K 68.183 * [backup-simplify]: Simplify 0 into 0 68.183 * [backup-simplify]: Simplify 1 into 1 68.184 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 68.184 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 68.184 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 68.184 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 68.184 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 68.184 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 68.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 68.185 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 68.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.185 * [backup-simplify]: Simplify 0 into 0 68.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 68.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 68.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.188 * [backup-simplify]: Simplify 0 into 0 68.189 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 68.190 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 68.191 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.191 * [backup-simplify]: Simplify 0 into 0 68.194 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 68.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 68.196 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.196 * [backup-simplify]: Simplify 0 into 0 68.202 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 68.204 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 68.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.208 * [backup-simplify]: Simplify 0 into 0 68.221 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 68.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 68.230 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.230 * [backup-simplify]: Simplify 0 into 0 68.230 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 68.230 * * * [progress]: simplifying candidates 68.230 * * * * [progress]: [ 1 / 119 ] simplifiying candidate # 68.230 * * * * [progress]: [ 2 / 119 ] simplifiying candidate # 68.231 * * * * [progress]: [ 3 / 119 ] simplifiying candidate # 68.231 * * * * [progress]: [ 4 / 119 ] simplifiying candidate # 68.231 * * * * [progress]: [ 5 / 119 ] simplifiying candidate # 68.231 * * * * [progress]: [ 6 / 119 ] simplifiying candidate # 68.231 * * * * [progress]: [ 7 / 119 ] simplifiying candidate # 68.231 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 68.231 * * [simplify]: iters left: 6 (15 enodes) 68.239 * * [simplify]: iters left: 5 (59 enodes) 68.258 * * [simplify]: iters left: 4 (112 enodes) 68.314 * * [simplify]: iters left: 3 (365 enodes) 68.537 * * [simplify]: Extracting #0: cost 1 inf + 0 68.537 * * [simplify]: Extracting #1: cost 4 inf + 0 68.537 * * [simplify]: Extracting #2: cost 7 inf + 0 68.537 * * [simplify]: Extracting #3: cost 10 inf + 0 68.538 * * [simplify]: Extracting #4: cost 122 inf + 1 68.540 * * [simplify]: Extracting #5: cost 241 inf + 89 68.544 * * [simplify]: Extracting #6: cost 203 inf + 3666 68.552 * * [simplify]: Extracting #7: cost 128 inf + 17960 68.576 * * [simplify]: Extracting #8: cost 13 inf + 45848 68.606 * * [simplify]: Extracting #9: cost 0 inf + 48961 68.630 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 68.631 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 68.631 * * * * [progress]: [ 8 / 119 ] simplifiying candidate # 68.631 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 68.631 * * [simplify]: iters left: 6 (14 enodes) 68.635 * * [simplify]: iters left: 5 (55 enodes) 68.644 * * [simplify]: iters left: 4 (108 enodes) 68.683 * * [simplify]: iters left: 3 (363 enodes) 68.897 * * [simplify]: Extracting #0: cost 1 inf + 0 68.897 * * [simplify]: Extracting #1: cost 3 inf + 0 68.897 * * [simplify]: Extracting #2: cost 5 inf + 0 68.897 * * [simplify]: Extracting #3: cost 8 inf + 0 68.897 * * [simplify]: Extracting #4: cost 123 inf + 1 68.899 * * [simplify]: Extracting #5: cost 234 inf + 420 68.900 * * [simplify]: Extracting #6: cost 203 inf + 3175 68.905 * * [simplify]: Extracting #7: cost 127 inf + 18949 68.926 * * [simplify]: Extracting #8: cost 7 inf + 46860 68.956 * * [simplify]: Extracting #9: cost 0 inf + 48232 68.972 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 68.972 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 68.973 * * * * [progress]: [ 9 / 119 ] simplifiying candidate # 68.973 * [simplify]: Simplifying (sqrt 1) 68.973 * * [simplify]: iters left: 1 (2 enodes) 68.975 * * [simplify]: Extracting #0: cost 1 inf + 0 68.975 * * [simplify]: Extracting #1: cost 0 inf + 1 68.975 * [simplify]: Simplified to 1 68.975 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 68.975 * * * * [progress]: [ 10 / 119 ] simplifiying candidate # 68.976 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 68.976 * * [simplify]: iters left: 6 (16 enodes) 68.981 * * [simplify]: iters left: 5 (70 enodes) 68.998 * * [simplify]: iters left: 4 (176 enodes) 69.159 * * [simplify]: Extracting #0: cost 1 inf + 0 69.160 * * [simplify]: Extracting #1: cost 3 inf + 0 69.160 * * [simplify]: Extracting #2: cost 6 inf + 0 69.160 * * [simplify]: Extracting #3: cost 103 inf + 1 69.161 * * [simplify]: Extracting #4: cost 306 inf + 6 69.164 * * [simplify]: Extracting #5: cost 338 inf + 1810 69.172 * * [simplify]: Extracting #6: cost 242 inf + 27932 69.197 * * [simplify]: Extracting #7: cost 28 inf + 100762 69.224 * * [simplify]: Extracting #8: cost 0 inf + 110036 69.270 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 69.270 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 69.270 * * * * [progress]: [ 11 / 119 ] simplifiying candidate # 69.271 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 69.271 * * [simplify]: iters left: 6 (15 enodes) 69.279 * * [simplify]: iters left: 5 (62 enodes) 69.305 * * [simplify]: iters left: 4 (150 enodes) 69.413 * * [simplify]: Extracting #0: cost 1 inf + 0 69.413 * * [simplify]: Extracting #1: cost 3 inf + 0 69.413 * * [simplify]: Extracting #2: cost 9 inf + 0 69.413 * * [simplify]: Extracting #3: cost 105 inf + 2 69.415 * * [simplify]: Extracting #4: cost 286 inf + 6 69.417 * * [simplify]: Extracting #5: cost 280 inf + 1923 69.426 * * [simplify]: Extracting #6: cost 191 inf + 25190 69.449 * * [simplify]: Extracting #7: cost 26 inf + 76271 69.467 * * [simplify]: Extracting #8: cost 0 inf + 85028 69.499 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 69.499 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 69.499 * * * * [progress]: [ 12 / 119 ] simplifiying candidate # 69.500 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 69.500 * * [simplify]: iters left: 6 (12 enodes) 69.505 * * [simplify]: iters left: 5 (49 enodes) 69.513 * * [simplify]: iters left: 4 (102 enodes) 69.552 * * [simplify]: iters left: 3 (356 enodes) 69.797 * * [simplify]: Extracting #0: cost 1 inf + 0 69.798 * * [simplify]: Extracting #1: cost 4 inf + 0 69.798 * * [simplify]: Extracting #2: cost 116 inf + 1 69.799 * * [simplify]: Extracting #3: cost 234 inf + 254 69.801 * * [simplify]: Extracting #4: cost 192 inf + 4198 69.805 * * [simplify]: Extracting #5: cost 121 inf + 19235 69.825 * * [simplify]: Extracting #6: cost 5 inf + 46310 69.854 * * [simplify]: Extracting #7: cost 0 inf + 47117 69.869 * * [simplify]: Extracting #8: cost 0 inf + 46998 69.886 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 69.886 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 69.887 * * * * [progress]: [ 13 / 119 ] simplifiying candidate # 69.887 * * * * [progress]: [ 14 / 119 ] simplifiying candidate # 69.887 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 69.887 * * [simplify]: iters left: 6 (13 enodes) 69.895 * * [simplify]: iters left: 5 (52 enodes) 69.912 * * [simplify]: iters left: 4 (105 enodes) 69.940 * * [simplify]: iters left: 3 (359 enodes) 70.550 * * [simplify]: Extracting #0: cost 1 inf + 0 70.550 * * [simplify]: Extracting #1: cost 3 inf + 0 70.550 * * [simplify]: Extracting #2: cost 6 inf + 0 70.551 * * [simplify]: Extracting #3: cost 118 inf + 1 70.553 * * [simplify]: Extracting #4: cost 235 inf + 336 70.556 * * [simplify]: Extracting #5: cost 193 inf + 4402 70.564 * * [simplify]: Extracting #6: cost 119 inf + 19348 70.589 * * [simplify]: Extracting #7: cost 7 inf + 46040 70.603 * * [simplify]: Extracting #8: cost 0 inf + 47488 70.623 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 70.623 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 70.623 * * * * [progress]: [ 15 / 119 ] simplifiying candidate # 70.623 * * * * [progress]: [ 16 / 119 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 70.623 * * * * [progress]: [ 17 / 119 ] simplifiying candidate # 70.624 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 70.624 * * [simplify]: iters left: 6 (23 enodes) 70.630 * * [simplify]: iters left: 5 (98 enodes) 70.647 * * [simplify]: iters left: 4 (234 enodes) 70.720 * * [simplify]: Extracting #0: cost 1 inf + 0 70.720 * * [simplify]: Extracting #1: cost 44 inf + 0 70.721 * * [simplify]: Extracting #2: cost 172 inf + 2 70.721 * * [simplify]: Extracting #3: cost 186 inf + 87 70.722 * * [simplify]: Extracting #4: cost 240 inf + 89 70.723 * * [simplify]: Extracting #5: cost 267 inf + 6737 70.738 * * [simplify]: Extracting #6: cost 121 inf + 45056 70.769 * * [simplify]: Extracting #7: cost 20 inf + 88079 70.788 * * [simplify]: Extracting #8: cost 1 inf + 97660 70.824 * * [simplify]: Extracting #9: cost 0 inf + 98043 70.863 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 70.863 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 70.863 * * * * [progress]: [ 18 / 119 ] simplifiying candidate # 70.864 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 70.864 * * [simplify]: iters left: 6 (23 enodes) 70.876 * * [simplify]: iters left: 5 (98 enodes) 70.911 * * [simplify]: iters left: 4 (234 enodes) 70.992 * * [simplify]: Extracting #0: cost 1 inf + 0 70.992 * * [simplify]: Extracting #1: cost 44 inf + 0 70.993 * * [simplify]: Extracting #2: cost 172 inf + 2 70.994 * * [simplify]: Extracting #3: cost 186 inf + 87 70.995 * * [simplify]: Extracting #4: cost 240 inf + 89 70.998 * * [simplify]: Extracting #5: cost 267 inf + 6737 71.013 * * [simplify]: Extracting #6: cost 121 inf + 45056 71.043 * * [simplify]: Extracting #7: cost 20 inf + 88079 71.065 * * [simplify]: Extracting #8: cost 1 inf + 97660 71.084 * * [simplify]: Extracting #9: cost 0 inf + 98043 71.116 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 71.116 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 71.116 * * * * [progress]: [ 19 / 119 ] simplifiying candidate # 71.116 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 71.117 * * [simplify]: iters left: 6 (23 enodes) 71.123 * * [simplify]: iters left: 5 (98 enodes) 71.140 * * [simplify]: iters left: 4 (234 enodes) 71.242 * * [simplify]: Extracting #0: cost 1 inf + 0 71.243 * * [simplify]: Extracting #1: cost 44 inf + 0 71.243 * * [simplify]: Extracting #2: cost 172 inf + 2 71.245 * * [simplify]: Extracting #3: cost 186 inf + 87 71.246 * * [simplify]: Extracting #4: cost 240 inf + 89 71.252 * * [simplify]: Extracting #5: cost 267 inf + 6737 71.268 * * [simplify]: Extracting #6: cost 121 inf + 45056 71.300 * * [simplify]: Extracting #7: cost 20 inf + 88079 71.339 * * [simplify]: Extracting #8: cost 1 inf + 97660 71.379 * * [simplify]: Extracting #9: cost 0 inf + 98043 71.418 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 71.418 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 71.418 * * * * [progress]: [ 20 / 119 ] simplifiying candidate # 71.418 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 71.419 * * [simplify]: iters left: 6 (23 enodes) 71.430 * * [simplify]: iters left: 5 (98 enodes) 71.447 * * [simplify]: iters left: 4 (234 enodes) 71.537 * * [simplify]: Extracting #0: cost 1 inf + 0 71.538 * * [simplify]: Extracting #1: cost 44 inf + 0 71.538 * * [simplify]: Extracting #2: cost 172 inf + 2 71.540 * * [simplify]: Extracting #3: cost 186 inf + 87 71.541 * * [simplify]: Extracting #4: cost 240 inf + 89 71.545 * * [simplify]: Extracting #5: cost 267 inf + 6737 71.559 * * [simplify]: Extracting #6: cost 121 inf + 45056 71.593 * * [simplify]: Extracting #7: cost 20 inf + 88079 71.631 * * [simplify]: Extracting #8: cost 1 inf + 97660 71.673 * * [simplify]: Extracting #9: cost 0 inf + 98043 71.712 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 71.712 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 71.712 * * * * [progress]: [ 21 / 119 ] simplifiying candidate # 71.713 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 71.713 * * [simplify]: iters left: 6 (23 enodes) 71.725 * * [simplify]: iters left: 5 (98 enodes) 71.761 * * [simplify]: iters left: 4 (234 enodes) 71.879 * * [simplify]: Extracting #0: cost 1 inf + 0 71.879 * * [simplify]: Extracting #1: cost 44 inf + 0 71.879 * * [simplify]: Extracting #2: cost 172 inf + 2 71.880 * * [simplify]: Extracting #3: cost 186 inf + 87 71.881 * * [simplify]: Extracting #4: cost 240 inf + 89 71.882 * * [simplify]: Extracting #5: cost 267 inf + 6737 71.889 * * [simplify]: Extracting #6: cost 121 inf + 45056 71.912 * * [simplify]: Extracting #7: cost 20 inf + 88079 71.954 * * [simplify]: Extracting #8: cost 1 inf + 97660 71.994 * * [simplify]: Extracting #9: cost 0 inf + 98043 72.033 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 72.033 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 72.033 * * * * [progress]: [ 22 / 119 ] simplifiying candidate # 72.034 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 72.034 * * [simplify]: iters left: 6 (23 enodes) 72.046 * * [simplify]: iters left: 5 (98 enodes) 72.081 * * [simplify]: iters left: 4 (234 enodes) 72.174 * * [simplify]: Extracting #0: cost 1 inf + 0 72.175 * * [simplify]: Extracting #1: cost 44 inf + 0 72.175 * * [simplify]: Extracting #2: cost 172 inf + 2 72.176 * * [simplify]: Extracting #3: cost 186 inf + 87 72.178 * * [simplify]: Extracting #4: cost 240 inf + 89 72.181 * * [simplify]: Extracting #5: cost 267 inf + 6737 72.199 * * [simplify]: Extracting #6: cost 121 inf + 45056 72.217 * * [simplify]: Extracting #7: cost 20 inf + 88079 72.237 * * [simplify]: Extracting #8: cost 1 inf + 97660 72.274 * * [simplify]: Extracting #9: cost 0 inf + 98043 72.293 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 72.293 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 72.293 * * * * [progress]: [ 23 / 119 ] simplifiying candidate # 72.294 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 72.294 * * [simplify]: iters left: 6 (23 enodes) 72.300 * * [simplify]: iters left: 5 (98 enodes) 72.325 * * [simplify]: iters left: 4 (234 enodes) 72.416 * * [simplify]: Extracting #0: cost 1 inf + 0 72.416 * * [simplify]: Extracting #1: cost 44 inf + 0 72.416 * * [simplify]: Extracting #2: cost 172 inf + 2 72.417 * * [simplify]: Extracting #3: cost 186 inf + 87 72.418 * * [simplify]: Extracting #4: cost 240 inf + 89 72.419 * * [simplify]: Extracting #5: cost 267 inf + 6737 72.426 * * [simplify]: Extracting #6: cost 121 inf + 45056 72.450 * * [simplify]: Extracting #7: cost 20 inf + 88079 72.470 * * [simplify]: Extracting #8: cost 1 inf + 97660 72.500 * * [simplify]: Extracting #9: cost 0 inf + 98043 72.533 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 72.533 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 72.533 * * * * [progress]: [ 24 / 119 ] simplifiying candidate # 72.534 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 72.534 * * [simplify]: iters left: 6 (23 enodes) 72.540 * * [simplify]: iters left: 5 (98 enodes) 72.559 * * [simplify]: iters left: 4 (234 enodes) 72.631 * * [simplify]: Extracting #0: cost 1 inf + 0 72.631 * * [simplify]: Extracting #1: cost 44 inf + 0 72.632 * * [simplify]: Extracting #2: cost 172 inf + 2 72.633 * * [simplify]: Extracting #3: cost 186 inf + 87 72.634 * * [simplify]: Extracting #4: cost 240 inf + 89 72.638 * * [simplify]: Extracting #5: cost 267 inf + 6737 72.652 * * [simplify]: Extracting #6: cost 121 inf + 45056 72.668 * * [simplify]: Extracting #7: cost 20 inf + 88079 72.693 * * [simplify]: Extracting #8: cost 1 inf + 97660 72.724 * * [simplify]: Extracting #9: cost 0 inf + 98043 72.743 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 72.743 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 72.744 * * * * [progress]: [ 25 / 119 ] simplifiying candidate # 72.744 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 72.744 * * [simplify]: iters left: 6 (23 enodes) 72.750 * * [simplify]: iters left: 5 (98 enodes) 72.769 * * [simplify]: iters left: 4 (234 enodes) 72.872 * * [simplify]: Extracting #0: cost 1 inf + 0 72.873 * * [simplify]: Extracting #1: cost 44 inf + 0 72.873 * * [simplify]: Extracting #2: cost 172 inf + 2 72.874 * * [simplify]: Extracting #3: cost 186 inf + 87 72.874 * * [simplify]: Extracting #4: cost 240 inf + 89 72.876 * * [simplify]: Extracting #5: cost 267 inf + 6737 72.883 * * [simplify]: Extracting #6: cost 121 inf + 45056 72.919 * * [simplify]: Extracting #7: cost 20 inf + 88079 72.956 * * [simplify]: Extracting #8: cost 1 inf + 97660 72.995 * * [simplify]: Extracting #9: cost 0 inf + 98043 73.034 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 73.034 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 73.035 * * * * [progress]: [ 26 / 119 ] simplifiying candidate # 73.035 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 73.035 * * [simplify]: iters left: 6 (23 enodes) 73.047 * * [simplify]: iters left: 5 (98 enodes) 73.077 * * [simplify]: iters left: 4 (234 enodes) 73.153 * * [simplify]: Extracting #0: cost 1 inf + 0 73.153 * * [simplify]: Extracting #1: cost 44 inf + 0 73.154 * * [simplify]: Extracting #2: cost 172 inf + 2 73.155 * * [simplify]: Extracting #3: cost 186 inf + 87 73.157 * * [simplify]: Extracting #4: cost 240 inf + 89 73.160 * * [simplify]: Extracting #5: cost 267 inf + 6737 73.175 * * [simplify]: Extracting #6: cost 121 inf + 45056 73.208 * * [simplify]: Extracting #7: cost 20 inf + 88079 73.246 * * [simplify]: Extracting #8: cost 1 inf + 97660 73.286 * * [simplify]: Extracting #9: cost 0 inf + 98043 73.328 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 73.328 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 73.328 * * * * [progress]: [ 27 / 119 ] simplifiying candidate # 73.328 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 73.329 * * [simplify]: iters left: 6 (23 enodes) 73.341 * * [simplify]: iters left: 5 (98 enodes) 73.377 * * [simplify]: iters left: 4 (234 enodes) 73.505 * * [simplify]: Extracting #0: cost 1 inf + 0 73.505 * * [simplify]: Extracting #1: cost 44 inf + 0 73.505 * * [simplify]: Extracting #2: cost 172 inf + 2 73.507 * * [simplify]: Extracting #3: cost 186 inf + 87 73.508 * * [simplify]: Extracting #4: cost 240 inf + 89 73.511 * * [simplify]: Extracting #5: cost 267 inf + 6737 73.526 * * [simplify]: Extracting #6: cost 121 inf + 45056 73.549 * * [simplify]: Extracting #7: cost 20 inf + 88079 73.575 * * [simplify]: Extracting #8: cost 1 inf + 97660 73.599 * * [simplify]: Extracting #9: cost 0 inf + 98043 73.631 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 73.631 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 73.631 * * * * [progress]: [ 28 / 119 ] simplifiying candidate # 73.631 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 73.631 * * [simplify]: iters left: 6 (23 enodes) 73.637 * * [simplify]: iters left: 5 (98 enodes) 73.654 * * [simplify]: iters left: 4 (234 enodes) 73.761 * * [simplify]: Extracting #0: cost 1 inf + 0 73.761 * * [simplify]: Extracting #1: cost 44 inf + 0 73.762 * * [simplify]: Extracting #2: cost 172 inf + 2 73.763 * * [simplify]: Extracting #3: cost 186 inf + 87 73.764 * * [simplify]: Extracting #4: cost 240 inf + 89 73.767 * * [simplify]: Extracting #5: cost 267 inf + 6737 73.782 * * [simplify]: Extracting #6: cost 121 inf + 45056 73.811 * * [simplify]: Extracting #7: cost 20 inf + 88079 73.831 * * [simplify]: Extracting #8: cost 1 inf + 97660 73.869 * * [simplify]: Extracting #9: cost 0 inf + 98043 73.911 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 73.911 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 73.911 * * * * [progress]: [ 29 / 119 ] simplifiying candidate # 73.911 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 73.912 * * [simplify]: iters left: 6 (23 enodes) 73.923 * * [simplify]: iters left: 5 (98 enodes) 73.961 * * [simplify]: iters left: 4 (234 enodes) 74.078 * * [simplify]: Extracting #0: cost 1 inf + 0 74.079 * * [simplify]: Extracting #1: cost 44 inf + 0 74.079 * * [simplify]: Extracting #2: cost 172 inf + 2 74.080 * * [simplify]: Extracting #3: cost 186 inf + 87 74.080 * * [simplify]: Extracting #4: cost 240 inf + 89 74.082 * * [simplify]: Extracting #5: cost 267 inf + 6737 74.089 * * [simplify]: Extracting #6: cost 121 inf + 45056 74.111 * * [simplify]: Extracting #7: cost 20 inf + 88079 74.151 * * [simplify]: Extracting #8: cost 1 inf + 97660 74.183 * * [simplify]: Extracting #9: cost 0 inf + 98043 74.204 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 74.204 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 74.204 * * * * [progress]: [ 30 / 119 ] simplifiying candidate # 74.205 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 74.205 * * [simplify]: iters left: 6 (23 enodes) 74.214 * * [simplify]: iters left: 5 (98 enodes) 74.235 * * [simplify]: iters left: 4 (234 enodes) 74.313 * * [simplify]: Extracting #0: cost 1 inf + 0 74.313 * * [simplify]: Extracting #1: cost 44 inf + 0 74.313 * * [simplify]: Extracting #2: cost 172 inf + 2 74.314 * * [simplify]: Extracting #3: cost 186 inf + 87 74.314 * * [simplify]: Extracting #4: cost 240 inf + 89 74.316 * * [simplify]: Extracting #5: cost 267 inf + 6737 74.329 * * [simplify]: Extracting #6: cost 121 inf + 45056 74.354 * * [simplify]: Extracting #7: cost 20 inf + 88079 74.374 * * [simplify]: Extracting #8: cost 1 inf + 97660 74.409 * * [simplify]: Extracting #9: cost 0 inf + 98043 74.431 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 74.431 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 74.432 * * * * [progress]: [ 31 / 119 ] simplifiying candidate # 74.432 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 74.432 * * [simplify]: iters left: 6 (23 enodes) 74.438 * * [simplify]: iters left: 5 (98 enodes) 74.462 * * [simplify]: iters left: 4 (234 enodes) 74.542 * * [simplify]: Extracting #0: cost 1 inf + 0 74.543 * * [simplify]: Extracting #1: cost 44 inf + 0 74.543 * * [simplify]: Extracting #2: cost 172 inf + 2 74.544 * * [simplify]: Extracting #3: cost 186 inf + 87 74.545 * * [simplify]: Extracting #4: cost 240 inf + 89 74.548 * * [simplify]: Extracting #5: cost 267 inf + 6737 74.559 * * [simplify]: Extracting #6: cost 121 inf + 45056 74.579 * * [simplify]: Extracting #7: cost 20 inf + 88079 74.606 * * [simplify]: Extracting #8: cost 1 inf + 97660 74.625 * * [simplify]: Extracting #9: cost 0 inf + 98043 74.646 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 74.647 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 74.647 * * * * [progress]: [ 32 / 119 ] simplifiying candidate # 74.647 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 74.647 * * [simplify]: iters left: 6 (23 enodes) 74.653 * * [simplify]: iters left: 5 (98 enodes) 74.679 * * [simplify]: iters left: 4 (234 enodes) 74.773 * * [simplify]: Extracting #0: cost 1 inf + 0 74.773 * * [simplify]: Extracting #1: cost 44 inf + 0 74.774 * * [simplify]: Extracting #2: cost 172 inf + 2 74.775 * * [simplify]: Extracting #3: cost 186 inf + 87 74.776 * * [simplify]: Extracting #4: cost 240 inf + 89 74.779 * * [simplify]: Extracting #5: cost 267 inf + 6737 74.792 * * [simplify]: Extracting #6: cost 121 inf + 45056 74.820 * * [simplify]: Extracting #7: cost 20 inf + 88079 74.856 * * [simplify]: Extracting #8: cost 1 inf + 97660 74.895 * * [simplify]: Extracting #9: cost 0 inf + 98043 74.916 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 74.916 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 74.916 * * * * [progress]: [ 33 / 119 ] simplifiying candidate # 74.916 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 74.916 * * [simplify]: iters left: 6 (23 enodes) 74.923 * * [simplify]: iters left: 5 (98 enodes) 74.952 * * [simplify]: iters left: 4 (234 enodes) 75.053 * * [simplify]: Extracting #0: cost 1 inf + 0 75.053 * * [simplify]: Extracting #1: cost 44 inf + 0 75.053 * * [simplify]: Extracting #2: cost 172 inf + 2 75.054 * * [simplify]: Extracting #3: cost 186 inf + 87 75.055 * * [simplify]: Extracting #4: cost 240 inf + 89 75.057 * * [simplify]: Extracting #5: cost 267 inf + 6737 75.068 * * [simplify]: Extracting #6: cost 121 inf + 45056 75.084 * * [simplify]: Extracting #7: cost 20 inf + 88079 75.108 * * [simplify]: Extracting #8: cost 1 inf + 97660 75.152 * * [simplify]: Extracting #9: cost 0 inf + 98043 75.191 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 75.191 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 75.191 * * * * [progress]: [ 34 / 119 ] simplifiying candidate # 75.191 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 75.192 * * [simplify]: iters left: 6 (23 enodes) 75.204 * * [simplify]: iters left: 5 (98 enodes) 75.239 * * [simplify]: iters left: 4 (234 enodes) 75.325 * * [simplify]: Extracting #0: cost 1 inf + 0 75.325 * * [simplify]: Extracting #1: cost 44 inf + 0 75.326 * * [simplify]: Extracting #2: cost 172 inf + 2 75.327 * * [simplify]: Extracting #3: cost 186 inf + 87 75.329 * * [simplify]: Extracting #4: cost 240 inf + 89 75.332 * * [simplify]: Extracting #5: cost 267 inf + 6737 75.339 * * [simplify]: Extracting #6: cost 121 inf + 45056 75.359 * * [simplify]: Extracting #7: cost 20 inf + 88079 75.389 * * [simplify]: Extracting #8: cost 1 inf + 97660 75.428 * * [simplify]: Extracting #9: cost 0 inf + 98043 75.467 * [simplify]: Simplified to (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 75.467 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 1)) 75.467 * * * * [progress]: [ 35 / 119 ] simplifiying candidate # 75.467 * * * * [progress]: [ 36 / 119 ] simplifiying candidate # 75.468 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 75.468 * * [simplify]: iters left: 6 (28 enodes) 75.482 * * [simplify]: iters left: 5 (113 enodes) 75.524 * * [simplify]: iters left: 4 (247 enodes) 75.622 * * [simplify]: Extracting #0: cost 1 inf + 0 75.623 * * [simplify]: Extracting #1: cost 46 inf + 0 75.623 * * [simplify]: Extracting #2: cost 147 inf + 0 75.624 * * [simplify]: Extracting #3: cost 153 inf + 144 75.624 * * [simplify]: Extracting #4: cost 154 inf + 650 75.625 * * [simplify]: Extracting #5: cost 208 inf + 651 75.627 * * [simplify]: Extracting #6: cost 229 inf + 10746 75.636 * * [simplify]: Extracting #7: cost 75 inf + 65410 75.661 * * [simplify]: Extracting #8: cost 6 inf + 118625 75.712 * * [simplify]: Extracting #9: cost 0 inf + 124590 75.738 * [simplify]: Simplified to (+ (log (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (+ (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2)))))) 75.738 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (+ (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2)))))))) 75.739 * * * * [progress]: [ 37 / 119 ] simplifiying candidate # 75.739 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 75.739 * * [simplify]: iters left: 6 (28 enodes) 75.751 * * [simplify]: iters left: 5 (113 enodes) 75.772 * * [simplify]: iters left: 4 (234 enodes) 75.863 * * [simplify]: Extracting #0: cost 1 inf + 0 75.863 * * [simplify]: Extracting #1: cost 46 inf + 0 75.864 * * [simplify]: Extracting #2: cost 146 inf + 0 75.865 * * [simplify]: Extracting #3: cost 153 inf + 144 75.866 * * [simplify]: Extracting #4: cost 154 inf + 650 75.867 * * [simplify]: Extracting #5: cost 208 inf + 651 75.869 * * [simplify]: Extracting #6: cost 229 inf + 10647 75.884 * * [simplify]: Extracting #7: cost 38 inf + 99595 75.914 * * [simplify]: Extracting #8: cost 0 inf + 123160 75.940 * * [simplify]: Extracting #9: cost 0 inf + 122366 75.969 * [simplify]: Simplified to (+ (+ (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))) 75.969 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))))) 75.969 * * * * [progress]: [ 38 / 119 ] simplifiying candidate # 75.969 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 75.969 * * [simplify]: iters left: 6 (29 enodes) 75.982 * * [simplify]: iters left: 5 (117 enodes) 76.004 * * [simplify]: iters left: 4 (251 enodes) 76.094 * * [simplify]: Extracting #0: cost 1 inf + 0 76.094 * * [simplify]: Extracting #1: cost 47 inf + 0 76.094 * * [simplify]: Extracting #2: cost 151 inf + 0 76.095 * * [simplify]: Extracting #3: cost 157 inf + 215 76.096 * * [simplify]: Extracting #4: cost 159 inf + 650 76.097 * * [simplify]: Extracting #5: cost 213 inf + 651 76.099 * * [simplify]: Extracting #6: cost 229 inf + 12361 76.115 * * [simplify]: Extracting #7: cost 85 inf + 65792 76.156 * * [simplify]: Extracting #8: cost 8 inf + 121490 76.214 * * [simplify]: Extracting #9: cost 0 inf + 127315 76.268 * * [simplify]: Extracting #10: cost 0 inf + 127205 76.321 * [simplify]: Simplified to (+ (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (log J)) 76.321 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (log J)))) 76.321 * * * * [progress]: [ 39 / 119 ] simplifiying candidate # 76.322 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 76.322 * * [simplify]: iters left: 6 (29 enodes) 76.336 * * [simplify]: iters left: 5 (117 enodes) 76.370 * * [simplify]: iters left: 4 (238 enodes) 76.451 * * [simplify]: Extracting #0: cost 1 inf + 0 76.452 * * [simplify]: Extracting #1: cost 45 inf + 0 76.452 * * [simplify]: Extracting #2: cost 147 inf + 0 76.453 * * [simplify]: Extracting #3: cost 156 inf + 73 76.454 * * [simplify]: Extracting #4: cost 156 inf + 650 76.456 * * [simplify]: Extracting #5: cost 210 inf + 651 76.459 * * [simplify]: Extracting #6: cost 235 inf + 8059 76.469 * * [simplify]: Extracting #7: cost 91 inf + 58253 76.490 * * [simplify]: Extracting #8: cost 6 inf + 117330 76.517 * * [simplify]: Extracting #9: cost 0 inf + 123119 76.566 * [simplify]: Simplified to (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log J) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))))) (log -2)) 76.566 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log J) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))))) (log -2)))) 76.566 * * * * [progress]: [ 40 / 119 ] simplifiying candidate # 76.567 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 76.567 * * [simplify]: iters left: 6 (28 enodes) 76.580 * * [simplify]: iters left: 5 (114 enodes) 76.599 * * [simplify]: iters left: 4 (243 enodes) 76.680 * * [simplify]: Extracting #0: cost 1 inf + 0 76.681 * * [simplify]: Extracting #1: cost 38 inf + 0 76.681 * * [simplify]: Extracting #2: cost 149 inf + 0 76.681 * * [simplify]: Extracting #3: cost 157 inf + 145 76.682 * * [simplify]: Extracting #4: cost 160 inf + 651 76.683 * * [simplify]: Extracting #5: cost 213 inf + 653 76.684 * * [simplify]: Extracting #6: cost 237 inf + 10328 76.694 * * [simplify]: Extracting #7: cost 72 inf + 67604 76.713 * * [simplify]: Extracting #8: cost 14 inf + 100123 76.739 * * [simplify]: Extracting #9: cost 0 inf + 109263 76.774 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (log J) (log -2))) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 76.774 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (log J) (log -2))) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) 76.774 * * * * [progress]: [ 41 / 119 ] simplifiying candidate # 76.775 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 76.775 * * [simplify]: iters left: 6 (28 enodes) 76.791 * * [simplify]: iters left: 5 (114 enodes) 76.829 * * [simplify]: iters left: 4 (231 enodes) 76.929 * * [simplify]: Extracting #0: cost 1 inf + 0 76.929 * * [simplify]: Extracting #1: cost 38 inf + 0 76.929 * * [simplify]: Extracting #2: cost 135 inf + 0 76.930 * * [simplify]: Extracting #3: cost 147 inf + 145 76.930 * * [simplify]: Extracting #4: cost 150 inf + 651 76.931 * * [simplify]: Extracting #5: cost 203 inf + 653 76.933 * * [simplify]: Extracting #6: cost 228 inf + 10151 76.943 * * [simplify]: Extracting #7: cost 63 inf + 71454 76.959 * * [simplify]: Extracting #8: cost 14 inf + 93978 76.982 * * [simplify]: Extracting #9: cost 0 inf + 103192 77.004 * [simplify]: Simplified to (+ (log -2) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) 77.004 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log -2) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))))) 77.004 * * * * [progress]: [ 42 / 119 ] simplifiying candidate # 77.005 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 77.005 * * [simplify]: iters left: 6 (28 enodes) 77.022 * * [simplify]: iters left: 5 (113 enodes) 77.054 * * [simplify]: iters left: 4 (233 enodes) 77.141 * * [simplify]: Extracting #0: cost 1 inf + 0 77.142 * * [simplify]: Extracting #1: cost 33 inf + 0 77.142 * * [simplify]: Extracting #2: cost 140 inf + 0 77.143 * * [simplify]: Extracting #3: cost 158 inf + 145 77.144 * * [simplify]: Extracting #4: cost 166 inf + 651 77.146 * * [simplify]: Extracting #5: cost 219 inf + 653 77.149 * * [simplify]: Extracting #6: cost 259 inf + 5831 77.166 * * [simplify]: Extracting #7: cost 102 inf + 58827 77.202 * * [simplify]: Extracting #8: cost 14 inf + 100142 77.227 * * [simplify]: Extracting #9: cost 0 inf + 107831 77.250 * [simplify]: Simplified to (+ (+ (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) (log J)) (log (cbrt (cos (/ K 2))))) 77.250 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) (log J)) (log (cbrt (cos (/ K 2))))))) 77.250 * * * * [progress]: [ 43 / 119 ] simplifiying candidate # 77.251 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 77.251 * * [simplify]: iters left: 6 (27 enodes) 77.268 * * [simplify]: iters left: 5 (111 enodes) 77.303 * * [simplify]: iters left: 4 (224 enodes) 77.378 * * [simplify]: Extracting #0: cost 1 inf + 0 77.379 * * [simplify]: Extracting #1: cost 32 inf + 0 77.379 * * [simplify]: Extracting #2: cost 125 inf + 0 77.379 * * [simplify]: Extracting #3: cost 147 inf + 74 77.380 * * [simplify]: Extracting #4: cost 155 inf + 580 77.382 * * [simplify]: Extracting #5: cost 207 inf + 653 77.385 * * [simplify]: Extracting #6: cost 239 inf + 8002 77.400 * * [simplify]: Extracting #7: cost 104 inf + 49414 77.418 * * [simplify]: Extracting #8: cost 19 inf + 89358 77.444 * * [simplify]: Extracting #9: cost 0 inf + 100094 77.480 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log J))) (log (cbrt (cos (/ K 2))))) 77.480 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log J))) (log (cbrt (cos (/ K 2))))))) 77.480 * * * * [progress]: [ 44 / 119 ] simplifiying candidate # 77.480 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 77.481 * * [simplify]: iters left: 6 (26 enodes) 77.494 * * [simplify]: iters left: 5 (108 enodes) 77.535 * * [simplify]: iters left: 4 (233 enodes) 77.600 * * [simplify]: Extracting #0: cost 1 inf + 0 77.600 * * [simplify]: Extracting #1: cost 19 inf + 0 77.601 * * [simplify]: Extracting #2: cost 78 inf + 0 77.601 * * [simplify]: Extracting #3: cost 114 inf + 145 77.601 * * [simplify]: Extracting #4: cost 147 inf + 469 77.602 * * [simplify]: Extracting #5: cost 201 inf + 471 77.603 * * [simplify]: Extracting #6: cost 237 inf + 4585 77.612 * * [simplify]: Extracting #7: cost 114 inf + 34444 77.623 * * [simplify]: Extracting #8: cost 32 inf + 68316 77.647 * * [simplify]: Extracting #9: cost 2 inf + 81617 77.676 * * [simplify]: Extracting #10: cost 0 inf + 82725 77.705 * [simplify]: Simplified to (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (* (* J (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log -2))) 77.705 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (* (* J (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log -2))))) 77.706 * * * * [progress]: [ 45 / 119 ] simplifiying candidate # 77.706 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 77.707 * * [simplify]: iters left: 6 (27 enodes) 77.720 * * [simplify]: iters left: 5 (111 enodes) 77.748 * * [simplify]: iters left: 4 (237 enodes) 77.817 * * [simplify]: Extracting #0: cost 1 inf + 0 77.817 * * [simplify]: Extracting #1: cost 44 inf + 0 77.817 * * [simplify]: Extracting #2: cost 135 inf + 0 77.818 * * [simplify]: Extracting #3: cost 141 inf + 73 77.818 * * [simplify]: Extracting #4: cost 141 inf + 650 77.821 * * [simplify]: Extracting #5: cost 195 inf + 651 77.824 * * [simplify]: Extracting #6: cost 208 inf + 13799 77.853 * * [simplify]: Extracting #7: cost 34 inf + 88037 77.900 * * [simplify]: Extracting #8: cost 1 inf + 111551 77.949 * * [simplify]: Extracting #9: cost 0 inf + 112028 77.997 * * [simplify]: Extracting #10: cost 0 inf + 111989 78.045 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log J)))) 78.045 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log J)))))) 78.046 * * * * [progress]: [ 46 / 119 ] simplifiying candidate # 78.046 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 78.046 * * [simplify]: iters left: 6 (27 enodes) 78.060 * * [simplify]: iters left: 5 (111 enodes) 78.098 * * [simplify]: iters left: 4 (226 enodes) 78.181 * * [simplify]: Extracting #0: cost 1 inf + 0 78.181 * * [simplify]: Extracting #1: cost 43 inf + 0 78.182 * * [simplify]: Extracting #2: cost 122 inf + 0 78.183 * * [simplify]: Extracting #3: cost 131 inf + 2 78.183 * * [simplify]: Extracting #4: cost 132 inf + 286 78.184 * * [simplify]: Extracting #5: cost 186 inf + 287 78.187 * * [simplify]: Extracting #6: cost 220 inf + 5706 78.197 * * [simplify]: Extracting #7: cost 109 inf + 33394 78.209 * * [simplify]: Extracting #8: cost 40 inf + 72727 78.232 * * [simplify]: Extracting #9: cost 1 inf + 102993 78.274 * * [simplify]: Extracting #10: cost 0 inf + 104018 78.300 * [simplify]: Simplified to (+ (+ (log (* (cbrt (cos (/ K 2))) J)) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (cbrt (cbrt (cos (/ K 2))))))) 78.300 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* (cbrt (cos (/ K 2))) J)) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (cbrt (cbrt (cos (/ K 2))))))))) 78.301 * * * * [progress]: [ 47 / 119 ] simplifiying candidate # 78.301 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 78.301 * * [simplify]: iters left: 6 (28 enodes) 78.308 * * [simplify]: iters left: 5 (115 enodes) 78.327 * * [simplify]: iters left: 4 (241 enodes) 78.427 * * [simplify]: Extracting #0: cost 1 inf + 0 78.427 * * [simplify]: Extracting #1: cost 44 inf + 0 78.428 * * [simplify]: Extracting #2: cost 132 inf + 0 78.429 * * [simplify]: Extracting #3: cost 139 inf + 73 78.430 * * [simplify]: Extracting #4: cost 140 inf + 468 78.431 * * [simplify]: Extracting #5: cost 193 inf + 651 78.435 * * [simplify]: Extracting #6: cost 214 inf + 10260 78.451 * * [simplify]: Extracting #7: cost 88 inf + 49851 78.486 * * [simplify]: Extracting #8: cost 14 inf + 99322 78.517 * * [simplify]: Extracting #9: cost 0 inf + 110177 78.556 * [simplify]: Simplified to (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (cbrt (cos (/ K 2))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log J)) (log (cbrt (cos (/ K 2)))))) 78.556 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (cbrt (cos (/ K 2))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log J)) (log (cbrt (cos (/ K 2)))))))) 78.556 * * * * [progress]: [ 48 / 119 ] simplifiying candidate # 78.556 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 78.556 * * [simplify]: iters left: 6 (28 enodes) 78.564 * * [simplify]: iters left: 5 (115 enodes) 78.582 * * [simplify]: iters left: 4 (230 enodes) 78.681 * * [simplify]: Extracting #0: cost 1 inf + 0 78.681 * * [simplify]: Extracting #1: cost 44 inf + 0 78.681 * * [simplify]: Extracting #2: cost 125 inf + 0 78.682 * * [simplify]: Extracting #3: cost 135 inf + 2 78.683 * * [simplify]: Extracting #4: cost 136 inf + 286 78.684 * * [simplify]: Extracting #5: cost 190 inf + 287 78.688 * * [simplify]: Extracting #6: cost 210 inf + 9946 78.704 * * [simplify]: Extracting #7: cost 73 inf + 58065 78.740 * * [simplify]: Extracting #8: cost 6 inf + 101099 78.787 * * [simplify]: Extracting #9: cost 0 inf + 105649 78.821 * [simplify]: Simplified to (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))))) (log J)) 78.821 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2)))))))) (log J)))) 78.821 * * * * [progress]: [ 49 / 119 ] simplifiying candidate # 78.821 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 78.822 * * [simplify]: iters left: 6 (27 enodes) 78.828 * * [simplify]: iters left: 5 (112 enodes) 78.847 * * [simplify]: iters left: 4 (233 enodes) 78.914 * * [simplify]: Extracting #0: cost 1 inf + 0 78.914 * * [simplify]: Extracting #1: cost 36 inf + 0 78.914 * * [simplify]: Extracting #2: cost 135 inf + 0 78.915 * * [simplify]: Extracting #3: cost 143 inf + 74 78.915 * * [simplify]: Extracting #4: cost 146 inf + 580 78.916 * * [simplify]: Extracting #5: cost 198 inf + 653 78.917 * * [simplify]: Extracting #6: cost 226 inf + 7159 78.923 * * [simplify]: Extracting #7: cost 112 inf + 37892 78.937 * * [simplify]: Extracting #8: cost 15 inf + 87672 78.962 * * [simplify]: Extracting #9: cost 0 inf + 98229 79.001 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))) 79.001 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))))) 79.002 * * * * [progress]: [ 50 / 119 ] simplifiying candidate # 79.002 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 79.003 * * [simplify]: iters left: 6 (27 enodes) 79.016 * * [simplify]: iters left: 5 (112 enodes) 79.053 * * [simplify]: iters left: 4 (223 enodes) 79.153 * * [simplify]: Extracting #0: cost 1 inf + 0 79.153 * * [simplify]: Extracting #1: cost 34 inf + 0 79.153 * * [simplify]: Extracting #2: cost 114 inf + 0 79.154 * * [simplify]: Extracting #3: cost 126 inf + 145 79.155 * * [simplify]: Extracting #4: cost 131 inf + 287 79.156 * * [simplify]: Extracting #5: cost 184 inf + 289 79.159 * * [simplify]: Extracting #6: cost 211 inf + 7407 79.173 * * [simplify]: Extracting #7: cost 94 inf + 38220 79.195 * * [simplify]: Extracting #8: cost 19 inf + 78112 79.210 * * [simplify]: Extracting #9: cost 0 inf + 89691 79.227 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))) 79.227 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))))) 79.228 * * * * [progress]: [ 51 / 119 ] simplifiying candidate # 79.228 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 79.228 * * [simplify]: iters left: 6 (27 enodes) 79.242 * * [simplify]: iters left: 5 (111 enodes) 79.271 * * [simplify]: iters left: 4 (225 enodes) 79.351 * * [simplify]: Extracting #0: cost 1 inf + 0 79.351 * * [simplify]: Extracting #1: cost 32 inf + 0 79.352 * * [simplify]: Extracting #2: cost 126 inf + 0 79.353 * * [simplify]: Extracting #3: cost 144 inf + 74 79.357 * * [simplify]: Extracting #4: cost 153 inf + 398 79.358 * * [simplify]: Extracting #5: cost 204 inf + 653 79.361 * * [simplify]: Extracting #6: cost 234 inf + 7957 79.376 * * [simplify]: Extracting #7: cost 95 inf + 47367 79.404 * * [simplify]: Extracting #8: cost 11 inf + 90723 79.424 * * [simplify]: Extracting #9: cost 0 inf + 96732 79.441 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log J)) (log (cbrt (cos (/ K 2)))))) 79.442 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log J)) (log (cbrt (cos (/ K 2)))))))) 79.442 * * * * [progress]: [ 52 / 119 ] simplifiying candidate # 79.442 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 79.442 * * [simplify]: iters left: 6 (26 enodes) 79.449 * * [simplify]: iters left: 5 (109 enodes) 79.484 * * [simplify]: iters left: 4 (218 enodes) 79.549 * * [simplify]: Extracting #0: cost 1 inf + 0 79.550 * * [simplify]: Extracting #1: cost 28 inf + 0 79.550 * * [simplify]: Extracting #2: cost 103 inf + 0 79.551 * * [simplify]: Extracting #3: cost 129 inf + 74 79.551 * * [simplify]: Extracting #4: cost 139 inf + 216 79.553 * * [simplify]: Extracting #5: cost 191 inf + 289 79.557 * * [simplify]: Extracting #6: cost 211 inf + 10269 79.572 * * [simplify]: Extracting #7: cost 84 inf + 45126 79.594 * * [simplify]: Extracting #8: cost 19 inf + 76375 79.610 * * [simplify]: Extracting #9: cost 0 inf + 87582 79.625 * [simplify]: Simplified to (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (log (cbrt (cos (/ K 2))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log J))) 79.625 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (log (cbrt (cos (/ K 2))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log J))))) 79.625 * * * * [progress]: [ 53 / 119 ] simplifiying candidate # 79.625 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 79.626 * * [simplify]: iters left: 6 (25 enodes) 79.632 * * [simplify]: iters left: 5 (106 enodes) 79.650 * * [simplify]: iters left: 4 (230 enodes) 79.702 * * [simplify]: Extracting #0: cost 1 inf + 0 79.702 * * [simplify]: Extracting #1: cost 19 inf + 0 79.702 * * [simplify]: Extracting #2: cost 72 inf + 0 79.703 * * [simplify]: Extracting #3: cost 112 inf + 3 79.703 * * [simplify]: Extracting #4: cost 144 inf + 287 79.704 * * [simplify]: Extracting #5: cost 198 inf + 289 79.706 * * [simplify]: Extracting #6: cost 209 inf + 12511 79.725 * * [simplify]: Extracting #7: cost 60 inf + 56271 79.752 * * [simplify]: Extracting #8: cost 10 inf + 75164 79.773 * * [simplify]: Extracting #9: cost 0 inf + 78868 79.787 * [simplify]: Simplified to (+ (log (* (* J (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))) 79.787 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* J (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))))) 79.787 * * * * [progress]: [ 54 / 119 ] simplifiying candidate # 79.787 * * * * [progress]: [ 55 / 119 ] simplifiying candidate # 79.787 * * * * [progress]: [ 56 / 119 ] simplifiying candidate # 79.787 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 79.788 * * [simplify]: iters left: 6 (28 enodes) 79.799 * * [simplify]: iters left: 5 (121 enodes) 79.851 * * [simplify]: iters left: 4 (338 enodes) 80.120 * * [simplify]: Extracting #0: cost 1 inf + 0 80.120 * * [simplify]: Extracting #1: cost 98 inf + 0 80.122 * * [simplify]: Extracting #2: cost 451 inf + 126 80.124 * * [simplify]: Extracting #3: cost 573 inf + 982 80.128 * * [simplify]: Extracting #4: cost 599 inf + 12716 80.140 * * [simplify]: Extracting #5: cost 361 inf + 72789 80.207 * * [simplify]: Extracting #6: cost 117 inf + 175467 80.288 * * [simplify]: Extracting #7: cost 0 inf + 236436 80.368 * * [simplify]: Extracting #8: cost 0 inf + 236356 80.455 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (* J J)) 80.455 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (* J J)))) 80.456 * * * * [progress]: [ 57 / 119 ] simplifiying candidate # 80.456 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 80.456 * * [simplify]: iters left: 6 (28 enodes) 80.464 * * [simplify]: iters left: 5 (127 enodes) 80.502 * * [simplify]: iters left: 4 (383 enodes) 80.846 * * [simplify]: Extracting #0: cost 1 inf + 0 80.846 * * [simplify]: Extracting #1: cost 106 inf + 0 80.848 * * [simplify]: Extracting #2: cost 468 inf + 4 80.853 * * [simplify]: Extracting #3: cost 607 inf + 128 80.860 * * [simplify]: Extracting #4: cost 637 inf + 12469 80.878 * * [simplify]: Extracting #5: cost 387 inf + 77287 80.917 * * [simplify]: Extracting #6: cost 131 inf + 184190 81.020 * * [simplify]: Extracting #7: cost 1 inf + 256134 81.141 * * [simplify]: Extracting #8: cost 0 inf + 256760 81.236 * [simplify]: Simplified to (* (* (* (* (* J (cos (/ K 2))) (* J (* J (cos (/ K 2))))) (cos (/ K 2))) -8) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) 81.236 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* J (cos (/ K 2))) (* J (* J (cos (/ K 2))))) (cos (/ K 2))) -8) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) 81.236 * * * * [progress]: [ 58 / 119 ] simplifiying candidate # 81.237 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 81.237 * * [simplify]: iters left: 6 (31 enodes) 81.256 * * [simplify]: iters left: 5 (140 enodes) 81.313 * * [simplify]: iters left: 4 (398 enodes) 81.622 * * [simplify]: Extracting #0: cost 1 inf + 0 81.623 * * [simplify]: Extracting #1: cost 91 inf + 0 81.625 * * [simplify]: Extracting #2: cost 533 inf + 4 81.630 * * [simplify]: Extracting #3: cost 676 inf + 1019 81.639 * * [simplify]: Extracting #4: cost 653 inf + 18498 81.679 * * [simplify]: Extracting #5: cost 338 inf + 127132 81.773 * * [simplify]: Extracting #6: cost 38 inf + 279773 81.857 * * [simplify]: Extracting #7: cost 0 inf + 297944 81.989 * * [simplify]: Extracting #8: cost 0 inf + 297864 82.086 * [simplify]: Simplified to (* (* (* (* (cbrt (cos (/ K 2))) (* (* (* (cos (/ K 2)) J) (* J J)) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (cbrt (cos (/ K 2))))) (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)))))) 82.086 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cbrt (cos (/ K 2))) (* (* (* (cos (/ K 2)) J) (* J J)) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (cbrt (cos (/ K 2))))) (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)))))))) 82.086 * * * * [progress]: [ 59 / 119 ] simplifiying candidate # 82.086 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 82.086 * * [simplify]: iters left: 6 (31 enodes) 82.095 * * [simplify]: iters left: 5 (147 enodes) 82.155 * * [simplify]: iters left: 4 (444 enodes) 82.488 * * [simplify]: Extracting #0: cost 1 inf + 0 82.488 * * [simplify]: Extracting #1: cost 106 inf + 0 82.491 * * [simplify]: Extracting #2: cost 637 inf + 4 82.498 * * [simplify]: Extracting #3: cost 823 inf + 260 82.504 * * [simplify]: Extracting #4: cost 874 inf + 553 82.514 * * [simplify]: Extracting #5: cost 808 inf + 15186 82.556 * * [simplify]: Extracting #6: cost 487 inf + 140448 82.648 * * [simplify]: Extracting #7: cost 53 inf + 356685 82.788 * * [simplify]: Extracting #8: cost 0 inf + 370788 82.940 * * [simplify]: Extracting #9: cost 0 inf + 370468 83.053 * * [simplify]: Extracting #10: cost 0 inf + 370428 83.188 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))))) 83.188 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cbrt (cos (/ K 2))) (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))))))) 83.188 * * * * [progress]: [ 60 / 119 ] simplifiying candidate # 83.189 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 83.189 * * [simplify]: iters left: 6 (31 enodes) 83.206 * * [simplify]: iters left: 5 (139 enodes) 83.242 * * [simplify]: iters left: 4 (397 enodes) 83.547 * * [simplify]: Extracting #0: cost 1 inf + 0 83.547 * * [simplify]: Extracting #1: cost 99 inf + 0 83.550 * * [simplify]: Extracting #2: cost 522 inf + 4 83.557 * * [simplify]: Extracting #3: cost 646 inf + 1737 83.567 * * [simplify]: Extracting #4: cost 617 inf + 19999 83.605 * * [simplify]: Extracting #5: cost 337 inf + 114001 83.656 * * [simplify]: Extracting #6: cost 125 inf + 223264 83.734 * * [simplify]: Extracting #7: cost 0 inf + 300044 83.851 * * [simplify]: Extracting #8: cost 0 inf + 299724 83.986 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cos (/ K 2)) J) (* J J)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)) 83.986 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cos (/ K 2)) J) (* J J)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)))) 83.986 * * * * [progress]: [ 61 / 119 ] simplifiying candidate # 83.986 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 83.987 * * [simplify]: iters left: 6 (31 enodes) 83.996 * * [simplify]: iters left: 5 (146 enodes) 84.032 * * [simplify]: iters left: 4 (446 enodes) 84.416 * * [simplify]: Extracting #0: cost 1 inf + 0 84.417 * * [simplify]: Extracting #1: cost 107 inf + 0 84.420 * * [simplify]: Extracting #2: cost 602 inf + 45 84.429 * * [simplify]: Extracting #3: cost 785 inf + 301 84.434 * * [simplify]: Extracting #4: cost 835 inf + 678 84.441 * * [simplify]: Extracting #5: cost 684 inf + 37904 84.500 * * [simplify]: Extracting #6: cost 273 inf + 219371 84.609 * * [simplify]: Extracting #7: cost 15 inf + 354595 84.751 * * [simplify]: Extracting #8: cost 0 inf + 362328 84.881 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (* -8 (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))) 84.881 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (* -8 (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))))) 84.881 * * * * [progress]: [ 62 / 119 ] simplifiying candidate # 84.882 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 84.882 * * [simplify]: iters left: 6 (31 enodes) 84.900 * * [simplify]: iters left: 5 (140 enodes) 84.931 * * [simplify]: iters left: 4 (445 enodes) 85.214 * * [simplify]: Extracting #0: cost 1 inf + 0 85.214 * * [simplify]: Extracting #1: cost 94 inf + 0 85.215 * * [simplify]: Extracting #2: cost 511 inf + 4 85.218 * * [simplify]: Extracting #3: cost 690 inf + 554 85.223 * * [simplify]: Extracting #4: cost 661 inf + 20023 85.252 * * [simplify]: Extracting #5: cost 315 inf + 155904 85.327 * * [simplify]: Extracting #6: cost 37 inf + 304463 85.457 * * [simplify]: Extracting #7: cost 3 inf + 323634 85.559 * * [simplify]: Extracting #8: cost 0 inf + 325708 85.673 * [simplify]: Simplified to (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (cos (/ K 2)) J) (* J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 85.673 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (cos (/ K 2)) J) (* J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) 85.674 * * * * [progress]: [ 63 / 119 ] simplifiying candidate # 85.674 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 85.674 * * [simplify]: iters left: 6 (31 enodes) 85.690 * * [simplify]: iters left: 5 (146 enodes) 85.747 * * [simplify]: iters left: 4 (487 enodes) 86.150 * * [simplify]: Extracting #0: cost 1 inf + 0 86.151 * * [simplify]: Extracting #1: cost 106 inf + 0 86.154 * * [simplify]: Extracting #2: cost 636 inf + 4 86.163 * * [simplify]: Extracting #3: cost 882 inf + 48 86.171 * * [simplify]: Extracting #4: cost 936 inf + 591 86.180 * * [simplify]: Extracting #5: cost 920 inf + 1746 86.199 * * [simplify]: Extracting #6: cost 738 inf + 53065 86.287 * * [simplify]: Extracting #7: cost 279 inf + 252203 86.448 * * [simplify]: Extracting #8: cost 20 inf + 395483 86.655 * * [simplify]: Extracting #9: cost 0 inf + 409296 86.826 * [simplify]: Simplified to (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8))) 86.826 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8))))) 86.827 * * * * [progress]: [ 64 / 119 ] simplifiying candidate # 86.827 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 86.828 * * [simplify]: iters left: 6 (29 enodes) 86.844 * * [simplify]: iters left: 5 (131 enodes) 86.891 * * [simplify]: iters left: 4 (444 enodes) 87.261 * * [simplify]: Extracting #0: cost 1 inf + 0 87.262 * * [simplify]: Extracting #1: cost 104 inf + 0 87.265 * * [simplify]: Extracting #2: cost 628 inf + 4 87.271 * * [simplify]: Extracting #3: cost 821 inf + 260 87.275 * * [simplify]: Extracting #4: cost 876 inf + 513 87.282 * * [simplify]: Extracting #5: cost 859 inf + 1751 87.290 * * [simplify]: Extracting #6: cost 719 inf + 40667 87.362 * * [simplify]: Extracting #7: cost 261 inf + 241505 87.470 * * [simplify]: Extracting #8: cost 18 inf + 372131 87.599 * * [simplify]: Extracting #9: cost 0 inf + 382004 87.755 * [simplify]: Simplified to (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) -8) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))))) 87.755 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) -8) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))))))) 87.755 * * * * [progress]: [ 65 / 119 ] simplifiying candidate # 87.755 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 87.755 * * [simplify]: iters left: 6 (26 enodes) 87.763 * * [simplify]: iters left: 5 (121 enodes) 87.795 * * [simplify]: iters left: 4 (320 enodes) 87.983 * * [simplify]: Extracting #0: cost 1 inf + 0 87.983 * * [simplify]: Extracting #1: cost 66 inf + 0 87.985 * * [simplify]: Extracting #2: cost 371 inf + 124 87.986 * * [simplify]: Extracting #3: cost 406 inf + 493 87.989 * * [simplify]: Extracting #4: cost 419 inf + 9236 88.006 * * [simplify]: Extracting #5: cost 289 inf + 95114 88.095 * * [simplify]: Extracting #6: cost 18 inf + 197150 88.158 * * [simplify]: Extracting #7: cost 0 inf + 201941 88.214 * * [simplify]: Extracting #8: cost 0 inf + 201819 88.301 * [simplify]: Simplified to (* (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* J (* J J))))) 88.301 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* J (* J J))))))) 88.301 * * * * [progress]: [ 66 / 119 ] simplifiying candidate # 88.302 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 88.302 * * [simplify]: iters left: 6 (26 enodes) 88.309 * * [simplify]: iters left: 5 (127 enodes) 88.337 * * [simplify]: iters left: 4 (365 enodes) 88.538 * * [simplify]: Extracting #0: cost 1 inf + 0 88.538 * * [simplify]: Extracting #1: cost 74 inf + 0 88.541 * * [simplify]: Extracting #2: cost 401 inf + 43 88.544 * * [simplify]: Extracting #3: cost 440 inf + 249 88.549 * * [simplify]: Extracting #4: cost 481 inf + 3049 88.574 * * [simplify]: Extracting #5: cost 360 inf + 84191 88.656 * * [simplify]: Extracting #6: cost 20 inf + 217354 88.723 * * [simplify]: Extracting #7: cost 0 inf + 224710 88.824 * * [simplify]: Extracting #8: cost 0 inf + 224588 88.911 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J J) (* J (cos (/ K 2))))) (* -8 (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 88.911 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J J) (* J (cos (/ K 2))))) (* -8 (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))))) 88.911 * * * * [progress]: [ 67 / 119 ] simplifiying candidate # 88.911 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 88.911 * * [simplify]: iters left: 6 (29 enodes) 88.920 * * [simplify]: iters left: 5 (140 enodes) 88.965 * * [simplify]: iters left: 4 (378 enodes) 89.149 * * [simplify]: Extracting #0: cost 1 inf + 0 89.149 * * [simplify]: Extracting #1: cost 83 inf + 0 89.151 * * [simplify]: Extracting #2: cost 466 inf + 44 89.153 * * [simplify]: Extracting #3: cost 564 inf + 251 89.159 * * [simplify]: Extracting #4: cost 534 inf + 26351 89.194 * * [simplify]: Extracting #5: cost 244 inf + 141200 89.317 * * [simplify]: Extracting #6: cost 15 inf + 257992 89.415 * * [simplify]: Extracting #7: cost 0 inf + 266157 89.515 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (cbrt (cos (/ K 2))) (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (* J J)))) 89.515 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (cbrt (cos (/ K 2))) (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (* J J)))))) 89.516 * * * * [progress]: [ 68 / 119 ] simplifiying candidate # 89.516 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 89.517 * * [simplify]: iters left: 6 (29 enodes) 89.534 * * [simplify]: iters left: 5 (147 enodes) 89.599 * * [simplify]: iters left: 4 (426 enodes) 89.870 * * [simplify]: Extracting #0: cost 1 inf + 0 89.870 * * [simplify]: Extracting #1: cost 86 inf + 0 89.871 * * [simplify]: Extracting #2: cost 570 inf + 43 89.878 * * [simplify]: Extracting #3: cost 677 inf + 88 89.881 * * [simplify]: Extracting #4: cost 715 inf + 1142 89.893 * * [simplify]: Extracting #5: cost 626 inf + 51099 89.997 * * [simplify]: Extracting #6: cost 116 inf + 299371 90.120 * * [simplify]: Extracting #7: cost 2 inf + 352254 90.271 * * [simplify]: Extracting #8: cost 0 inf + 343267 90.414 * * [simplify]: Extracting #9: cost 0 inf + 342907 90.531 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))))) 90.531 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))))))) 90.531 * * * * [progress]: [ 69 / 119 ] simplifiying candidate # 90.532 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 90.532 * * [simplify]: iters left: 6 (29 enodes) 90.549 * * [simplify]: iters left: 5 (139 enodes) 90.594 * * [simplify]: iters left: 4 (382 enodes) 90.867 * * [simplify]: Extracting #0: cost 1 inf + 0 90.868 * * [simplify]: Extracting #1: cost 79 inf + 0 90.870 * * [simplify]: Extracting #2: cost 454 inf + 43 90.874 * * [simplify]: Extracting #3: cost 488 inf + 372 90.879 * * [simplify]: Extracting #4: cost 506 inf + 8055 90.921 * * [simplify]: Extracting #5: cost 349 inf + 100191 91.003 * * [simplify]: Extracting #6: cost 20 inf + 256337 91.114 * * [simplify]: Extracting #7: cost 0 inf + 263706 91.219 * * [simplify]: Extracting #8: cost 0 inf + 263544 91.299 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (* J J) J) (* (* (cos (/ K 2)) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (cbrt (cos (/ K 2)))))) 91.299 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (* J J) J) (* (* (cos (/ K 2)) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (cbrt (cos (/ K 2)))))))) 91.299 * * * * [progress]: [ 70 / 119 ] simplifiying candidate # 91.299 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 91.299 * * [simplify]: iters left: 6 (29 enodes) 91.308 * * [simplify]: iters left: 5 (146 enodes) 91.339 * * [simplify]: iters left: 4 (429 enodes) 91.639 * * [simplify]: Extracting #0: cost 1 inf + 0 91.639 * * [simplify]: Extracting #1: cost 90 inf + 0 91.649 * * [simplify]: Extracting #2: cost 560 inf + 43 91.653 * * [simplify]: Extracting #3: cost 643 inf + 300 91.660 * * [simplify]: Extracting #4: cost 643 inf + 15863 91.712 * * [simplify]: Extracting #5: cost 414 inf + 142263 91.813 * * [simplify]: Extracting #6: cost 27 inf + 325619 91.923 * * [simplify]: Extracting #7: cost 0 inf + 333688 92.045 * * [simplify]: Extracting #8: cost 0 inf + 333568 92.175 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) 92.175 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))))) 92.175 * * * * [progress]: [ 71 / 119 ] simplifiying candidate # 92.175 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 92.175 * * [simplify]: iters left: 6 (29 enodes) 92.184 * * [simplify]: iters left: 5 (140 enodes) 92.227 * * [simplify]: iters left: 4 (427 enodes) 92.438 * * [simplify]: Extracting #0: cost 1 inf + 0 92.438 * * [simplify]: Extracting #1: cost 81 inf + 0 92.441 * * [simplify]: Extracting #2: cost 434 inf + 44 92.445 * * [simplify]: Extracting #3: cost 567 inf + 373 92.460 * * [simplify]: Extracting #4: cost 509 inf + 37796 92.522 * * [simplify]: Extracting #5: cost 210 inf + 159355 92.604 * * [simplify]: Extracting #6: cost 7 inf + 280297 92.747 * * [simplify]: Extracting #7: cost 0 inf + 284270 92.855 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) (* J J)))) 92.855 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) (* J J)))))) 92.856 * * * * [progress]: [ 72 / 119 ] simplifiying candidate # 92.856 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 92.857 * * [simplify]: iters left: 6 (29 enodes) 92.873 * * [simplify]: iters left: 5 (146 enodes) 92.937 * * [simplify]: iters left: 4 (469 enodes) 93.224 * * [simplify]: Extracting #0: cost 1 inf + 0 93.224 * * [simplify]: Extracting #1: cost 86 inf + 0 93.227 * * [simplify]: Extracting #2: cost 517 inf + 44 93.233 * * [simplify]: Extracting #3: cost 696 inf + 88 93.239 * * [simplify]: Extracting #4: cost 751 inf + 676 93.246 * * [simplify]: Extracting #5: cost 735 inf + 1911 93.263 * * [simplify]: Extracting #6: cost 591 inf + 45279 93.323 * * [simplify]: Extracting #7: cost 236 inf + 206000 93.436 * * [simplify]: Extracting #8: cost 19 inf + 333005 93.586 * * [simplify]: Extracting #9: cost 0 inf + 344777 93.712 * [simplify]: Simplified to (* (* J (cbrt (cos (/ K 2)))) (* (* (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) -8)))) 93.712 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* J (cbrt (cos (/ K 2)))) (* (* (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) -8)))))) 93.713 * * * * [progress]: [ 73 / 119 ] simplifiying candidate # 93.713 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 93.714 * * [simplify]: iters left: 6 (27 enodes) 93.729 * * [simplify]: iters left: 5 (131 enodes) 93.785 * * [simplify]: iters left: 4 (426 enodes) 94.109 * * [simplify]: Extracting #0: cost 1 inf + 0 94.109 * * [simplify]: Extracting #1: cost 93 inf + 0 94.111 * * [simplify]: Extracting #2: cost 555 inf + 3 94.113 * * [simplify]: Extracting #3: cost 700 inf + 301 94.117 * * [simplify]: Extracting #4: cost 755 inf + 554 94.124 * * [simplify]: Extracting #5: cost 739 inf + 1790 94.133 * * [simplify]: Extracting #6: cost 609 inf + 38716 94.214 * * [simplify]: Extracting #7: cost 252 inf + 194952 94.355 * * [simplify]: Extracting #8: cost 4 inf + 338553 94.536 * * [simplify]: Extracting #9: cost 0 inf + 339489 94.715 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) -8))) 94.715 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) -8))))) 94.716 * * * * [progress]: [ 74 / 119 ] simplifiying candidate # 94.716 * * * * [progress]: [ 75 / 119 ] simplifiying candidate # 94.716 * * * * [progress]: [ 76 / 119 ] simplifiying candidate # 94.716 * * * * [progress]: [ 77 / 119 ] simplifiying candidate # 94.716 * * * * [progress]: [ 78 / 119 ] simplifiying candidate # 94.717 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) J) 94.717 * * [simplify]: iters left: 6 (7 enodes) 94.720 * * [simplify]: iters left: 5 (22 enodes) 94.727 * * [simplify]: Extracting #0: cost 1 inf + 0 94.727 * * [simplify]: Extracting #1: cost 4 inf + 0 94.727 * * [simplify]: Extracting #2: cost 5 inf + 1 94.727 * * [simplify]: Extracting #3: cost 7 inf + 1 94.727 * * [simplify]: Extracting #4: cost 10 inf + 1 94.727 * * [simplify]: Extracting #5: cost 8 inf + 3 94.727 * * [simplify]: Extracting #6: cost 1 inf + 878 94.727 * * [simplify]: Extracting #7: cost 0 inf + 1101 94.728 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) J) 94.728 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) J))) 94.728 * * * * [progress]: [ 79 / 119 ] simplifiying candidate # 94.728 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 94.728 * * [simplify]: iters left: 6 (13 enodes) 94.735 * * [simplify]: iters left: 5 (52 enodes) 94.755 * * [simplify]: iters left: 4 (105 enodes) 94.784 * * [simplify]: iters left: 3 (359 enodes) 95.093 * * [simplify]: Extracting #0: cost 1 inf + 0 95.093 * * [simplify]: Extracting #1: cost 3 inf + 0 95.094 * * [simplify]: Extracting #2: cost 6 inf + 0 95.094 * * [simplify]: Extracting #3: cost 118 inf + 1 95.096 * * [simplify]: Extracting #4: cost 235 inf + 336 95.097 * * [simplify]: Extracting #5: cost 193 inf + 4402 95.101 * * [simplify]: Extracting #6: cost 119 inf + 19348 95.114 * * [simplify]: Extracting #7: cost 7 inf + 46040 95.134 * * [simplify]: Extracting #8: cost 0 inf + 47488 95.163 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 95.163 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))) 95.163 * * * * [progress]: [ 80 / 119 ] simplifiying candidate # 95.163 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 95.164 * * [simplify]: iters left: 6 (26 enodes) 95.179 * * [simplify]: iters left: 5 (116 enodes) 95.223 * * [simplify]: iters left: 4 (306 enodes) 95.428 * * [simplify]: Extracting #0: cost 1 inf + 0 95.428 * * [simplify]: Extracting #1: cost 44 inf + 0 95.429 * * [simplify]: Extracting #2: cost 174 inf + 2 95.430 * * [simplify]: Extracting #3: cost 187 inf + 87 95.431 * * [simplify]: Extracting #4: cost 282 inf + 89 95.433 * * [simplify]: Extracting #5: cost 483 inf + 3712 95.443 * * [simplify]: Extracting #6: cost 321 inf + 74456 95.503 * * [simplify]: Extracting #7: cost 23 inf + 186238 95.562 * * [simplify]: Extracting #8: cost 0 inf + 192064 95.654 * * [simplify]: Extracting #9: cost 0 inf + 191976 95.711 * [simplify]: Simplified to (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (* -2 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J)) 95.711 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (* -2 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J)) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 95.711 * * * * [progress]: [ 81 / 119 ] simplifiying candidate # 95.712 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 95.712 * * [simplify]: iters left: 6 (25 enodes) 95.723 * * [simplify]: iters left: 5 (108 enodes) 95.744 * * [simplify]: iters left: 4 (280 enodes) 95.905 * * [simplify]: Extracting #0: cost 1 inf + 0 95.905 * * [simplify]: Extracting #1: cost 44 inf + 0 95.906 * * [simplify]: Extracting #2: cost 171 inf + 2 95.907 * * [simplify]: Extracting #3: cost 187 inf + 87 95.908 * * [simplify]: Extracting #4: cost 280 inf + 90 95.915 * * [simplify]: Extracting #5: cost 424 inf + 14489 95.948 * * [simplify]: Extracting #6: cost 146 inf + 108167 96.001 * * [simplify]: Extracting #7: cost 2 inf + 163486 96.072 * * [simplify]: Extracting #8: cost 0 inf + 164500 96.125 * [simplify]: Simplified to (* (* -2 (sqrt (- (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) 96.125 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (sqrt (- (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 96.125 * * * * [progress]: [ 82 / 119 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))))> 96.126 * * * * [progress]: [ 83 / 119 ] simplifiying candidate # 96.126 * * * * [progress]: [ 84 / 119 ] simplifiying candidate # 96.126 * * * * [progress]: [ 85 / 119 ] simplifiying candidate # 96.126 * * * * [progress]: [ 86 / 119 ] simplifiying candidate # 96.126 * * * * [progress]: [ 87 / 119 ] simplifiying candidate # 96.126 * * * * [progress]: [ 88 / 119 ] simplifiying candidate # 96.126 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 96.126 * * [simplify]: iters left: 6 (7 enodes) 96.128 * * [simplify]: iters left: 5 (21 enodes) 96.131 * * [simplify]: Extracting #0: cost 1 inf + 0 96.131 * * [simplify]: Extracting #1: cost 3 inf + 0 96.131 * * [simplify]: Extracting #2: cost 5 inf + 0 96.131 * * [simplify]: Extracting #3: cost 7 inf + 0 96.131 * * [simplify]: Extracting #4: cost 9 inf + 0 96.131 * * [simplify]: Extracting #5: cost 12 inf + 0 96.132 * * [simplify]: Extracting #6: cost 10 inf + 2 96.132 * * [simplify]: Extracting #7: cost 1 inf + 1400 96.132 * * [simplify]: Extracting #8: cost 0 inf + 1702 96.133 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 96.133 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J)))) 96.133 * * * * [progress]: [ 89 / 119 ] simplifiying candidate # 96.133 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 96.133 * * [simplify]: iters left: 5 (6 enodes) 96.136 * * [simplify]: iters left: 4 (18 enodes) 96.142 * * [simplify]: Extracting #0: cost 1 inf + 0 96.142 * * [simplify]: Extracting #1: cost 3 inf + 0 96.142 * * [simplify]: Extracting #2: cost 5 inf + 0 96.142 * * [simplify]: Extracting #3: cost 7 inf + 0 96.142 * * [simplify]: Extracting #4: cost 10 inf + 0 96.142 * * [simplify]: Extracting #5: cost 8 inf + 2 96.142 * * [simplify]: Extracting #6: cost 0 inf + 1018 96.143 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 96.143 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) J)))) 96.143 * * * * [progress]: [ 90 / 119 ] simplifiying candidate # 96.143 * [simplify]: Simplifying (cbrt 1) 96.143 * * [simplify]: iters left: 1 (2 enodes) 96.146 * * [simplify]: Extracting #0: cost 1 inf + 0 96.146 * * [simplify]: Extracting #1: cost 0 inf + 1 96.146 * [simplify]: Simplified to 1 96.146 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* 1 (cbrt (cos (/ K 2)))) J)))) 96.147 * * * * [progress]: [ 91 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 92 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 93 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 94 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 95 / 119 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 96.147 * * * * [progress]: [ 96 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 97 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 98 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 99 / 119 ] simplifiying candidate # 96.147 * * * * [progress]: [ 100 / 119 ] simplifiying candidate # 96.147 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 96.148 * * [simplify]: iters left: 6 (7 enodes) 96.149 * * [simplify]: iters left: 5 (21 enodes) 96.152 * * [simplify]: Extracting #0: cost 1 inf + 0 96.152 * * [simplify]: Extracting #1: cost 3 inf + 0 96.152 * * [simplify]: Extracting #2: cost 5 inf + 0 96.152 * * [simplify]: Extracting #3: cost 7 inf + 0 96.152 * * [simplify]: Extracting #4: cost 9 inf + 0 96.152 * * [simplify]: Extracting #5: cost 12 inf + 0 96.152 * * [simplify]: Extracting #6: cost 10 inf + 2 96.152 * * [simplify]: Extracting #7: cost 1 inf + 1400 96.153 * * [simplify]: Extracting #8: cost 0 inf + 1702 96.153 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 96.153 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) J)))) 96.153 * * * * [progress]: [ 101 / 119 ] simplifiying candidate # 96.153 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 96.153 * * [simplify]: iters left: 5 (6 enodes) 96.155 * * [simplify]: iters left: 4 (18 enodes) 96.157 * * [simplify]: Extracting #0: cost 1 inf + 0 96.157 * * [simplify]: Extracting #1: cost 3 inf + 0 96.157 * * [simplify]: Extracting #2: cost 5 inf + 0 96.157 * * [simplify]: Extracting #3: cost 7 inf + 0 96.157 * * [simplify]: Extracting #4: cost 10 inf + 0 96.157 * * [simplify]: Extracting #5: cost 8 inf + 2 96.158 * * [simplify]: Extracting #6: cost 0 inf + 1018 96.158 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 96.158 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) J)))) 96.158 * * * * [progress]: [ 102 / 119 ] simplifiying candidate # 96.158 * [simplify]: Simplifying (cbrt 1) 96.158 * * [simplify]: iters left: 1 (2 enodes) 96.160 * * [simplify]: Extracting #0: cost 1 inf + 0 96.160 * * [simplify]: Extracting #1: cost 0 inf + 1 96.160 * [simplify]: Simplified to 1 96.160 * [simplify]: Simplified (2 2 1 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* 1 (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) J)))) 96.160 * * * * [progress]: [ 103 / 119 ] simplifiying candidate # 96.160 * * * * [progress]: [ 104 / 119 ] simplifiying candidate # 96.160 * * * * [progress]: [ 105 / 119 ] simplifiying candidate # 96.160 * * * * [progress]: [ 106 / 119 ] simplifiying candidate # 96.160 * * * * [progress]: [ 107 / 119 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) J))))> 96.160 * * * * [progress]: [ 108 / 119 ] simplifiying candidate # 96.160 * [simplify]: Simplifying 1 96.161 * * [simplify]: iters left: 0 (1 enodes) 96.161 * * [simplify]: Extracting #0: cost 1 inf + 0 96.161 * * [simplify]: Extracting #1: cost 0 inf + 1 96.161 * [simplify]: Simplified to 1 96.161 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 96.161 * * * * [progress]: [ 109 / 119 ] simplifiying candidate # 96.161 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 96.161 * * [simplify]: iters left: 6 (9 enodes) 96.164 * * [simplify]: iters left: 5 (34 enodes) 96.169 * * [simplify]: iters left: 4 (56 enodes) 96.180 * * [simplify]: iters left: 3 (90 enodes) 96.205 * * [simplify]: iters left: 2 (114 enodes) 96.238 * * [simplify]: iters left: 1 (131 enodes) 96.273 * * [simplify]: Extracting #0: cost 1 inf + 0 96.273 * * [simplify]: Extracting #1: cost 22 inf + 0 96.273 * * [simplify]: Extracting #2: cost 37 inf + 3 96.273 * * [simplify]: Extracting #3: cost 31 inf + 380 96.274 * * [simplify]: Extracting #4: cost 17 inf + 1834 96.276 * * [simplify]: Extracting #5: cost 3 inf + 4117 96.278 * * [simplify]: Extracting #6: cost 0 inf + 4586 96.281 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 96.281 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 96.281 * * * * [progress]: [ 110 / 119 ] simplifiying candidate # 96.282 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 96.282 * * [simplify]: iters left: 6 (9 enodes) 96.286 * * [simplify]: iters left: 5 (34 enodes) 96.296 * * [simplify]: iters left: 4 (56 enodes) 96.308 * * [simplify]: iters left: 3 (90 enodes) 96.321 * * [simplify]: iters left: 2 (114 enodes) 96.340 * * [simplify]: iters left: 1 (131 enodes) 96.375 * * [simplify]: Extracting #0: cost 1 inf + 0 96.375 * * [simplify]: Extracting #1: cost 22 inf + 0 96.376 * * [simplify]: Extracting #2: cost 37 inf + 3 96.376 * * [simplify]: Extracting #3: cost 31 inf + 380 96.377 * * [simplify]: Extracting #4: cost 17 inf + 1834 96.379 * * [simplify]: Extracting #5: cost 3 inf + 4117 96.381 * * [simplify]: Extracting #6: cost 0 inf + 4586 96.383 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 96.383 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 96.383 * * * * [progress]: [ 111 / 119 ] simplifiying candidate # 96.384 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 96.384 * * [simplify]: iters left: 6 (10 enodes) 96.389 * * [simplify]: iters left: 5 (43 enodes) 96.405 * * [simplify]: iters left: 4 (79 enodes) 96.429 * * [simplify]: iters left: 3 (118 enodes) 96.453 * * [simplify]: iters left: 2 (171 enodes) 96.489 * * [simplify]: iters left: 1 (242 enodes) 96.535 * * [simplify]: Extracting #0: cost 1 inf + 0 96.535 * * [simplify]: Extracting #1: cost 6 inf + 0 96.535 * * [simplify]: Extracting #2: cost 41 inf + 0 96.535 * * [simplify]: Extracting #3: cost 56 inf + 213 96.536 * * [simplify]: Extracting #4: cost 20 inf + 2732 96.537 * * [simplify]: Extracting #5: cost 1 inf + 4576 96.539 * * [simplify]: Extracting #6: cost 0 inf + 4698 96.540 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 96.540 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 96.540 * * * * [progress]: [ 112 / 119 ] simplifiying candidate # 96.540 * [simplify]: Simplifying (* -1 U) 96.540 * * [simplify]: iters left: 2 (3 enodes) 96.541 * * [simplify]: iters left: 1 (11 enodes) 96.543 * * [simplify]: Extracting #0: cost 1 inf + 0 96.543 * * [simplify]: Extracting #1: cost 4 inf + 0 96.543 * * [simplify]: Extracting #2: cost 0 inf + 84 96.543 * [simplify]: Simplified to (- U) 96.543 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 96.543 * * * * [progress]: [ 113 / 119 ] simplifiying candidate # 96.543 * [simplify]: Simplifying (* -1 U) 96.543 * * [simplify]: iters left: 2 (3 enodes) 96.544 * * [simplify]: iters left: 1 (11 enodes) 96.546 * * [simplify]: Extracting #0: cost 1 inf + 0 96.546 * * [simplify]: Extracting #1: cost 4 inf + 0 96.546 * * [simplify]: Extracting #2: cost 0 inf + 84 96.546 * [simplify]: Simplified to (- U) 96.546 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 96.546 * * * * [progress]: [ 114 / 119 ] simplifiying candidate # 96.546 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 96.546 * * [simplify]: iters left: 6 (12 enodes) 96.551 * * [simplify]: iters left: 5 (52 enodes) 96.562 * * [simplify]: iters left: 4 (73 enodes) 96.585 * * [simplify]: iters left: 3 (117 enodes) 96.620 * * [simplify]: iters left: 2 (156 enodes) 96.652 * * [simplify]: iters left: 1 (207 enodes) 96.693 * * [simplify]: Extracting #0: cost 1 inf + 0 96.693 * * [simplify]: Extracting #1: cost 18 inf + 0 96.693 * * [simplify]: Extracting #2: cost 39 inf + 2 96.693 * * [simplify]: Extracting #3: cost 43 inf + 213 96.694 * * [simplify]: Extracting #4: cost 14 inf + 3555 96.696 * * [simplify]: Extracting #5: cost 0 inf + 5789 96.698 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 96.698 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) J)))) 96.698 * * * * [progress]: [ 115 / 119 ] simplifiying candidate # 96.698 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 96.698 * * [simplify]: iters left: 4 (6 enodes) 96.700 * * [simplify]: iters left: 3 (25 enodes) 96.705 * * [simplify]: iters left: 2 (39 enodes) 96.719 * * [simplify]: iters left: 1 (69 enodes) 96.743 * * [simplify]: Extracting #0: cost 1 inf + 0 96.743 * * [simplify]: Extracting #1: cost 9 inf + 0 96.743 * * [simplify]: Extracting #2: cost 23 inf + 1 96.743 * * [simplify]: Extracting #3: cost 23 inf + 5 96.743 * * [simplify]: Extracting #4: cost 20 inf + 8 96.743 * * [simplify]: Extracting #5: cost 9 inf + 2778 96.744 * * [simplify]: Extracting #6: cost 0 inf + 6930 96.745 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 96.745 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (* 1/2 K))) J)))) 96.745 * * * * [progress]: [ 116 / 119 ] simplifiying candidate # 96.745 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 96.745 * * [simplify]: iters left: 4 (6 enodes) 96.747 * * [simplify]: iters left: 3 (25 enodes) 96.752 * * [simplify]: iters left: 2 (39 enodes) 96.760 * * [simplify]: iters left: 1 (69 enodes) 96.776 * * [simplify]: Extracting #0: cost 1 inf + 0 96.777 * * [simplify]: Extracting #1: cost 9 inf + 0 96.777 * * [simplify]: Extracting #2: cost 23 inf + 1 96.777 * * [simplify]: Extracting #3: cost 23 inf + 5 96.777 * * [simplify]: Extracting #4: cost 20 inf + 8 96.778 * * [simplify]: Extracting #5: cost 9 inf + 2778 96.779 * * [simplify]: Extracting #6: cost 0 inf + 6930 96.780 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 96.780 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (* 1/2 K))) J)))) 96.781 * * * * [progress]: [ 117 / 119 ] simplifiying candidate # 96.781 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 96.781 * * [simplify]: iters left: 6 (12 enodes) 96.789 * * [simplify]: iters left: 5 (52 enodes) 96.806 * * [simplify]: iters left: 4 (73 enodes) 96.827 * * [simplify]: iters left: 3 (117 enodes) 96.849 * * [simplify]: iters left: 2 (156 enodes) 96.881 * * [simplify]: iters left: 1 (207 enodes) 96.914 * * [simplify]: Extracting #0: cost 1 inf + 0 96.914 * * [simplify]: Extracting #1: cost 18 inf + 0 96.915 * * [simplify]: Extracting #2: cost 39 inf + 2 96.915 * * [simplify]: Extracting #3: cost 43 inf + 213 96.917 * * [simplify]: Extracting #4: cost 14 inf + 3555 96.919 * * [simplify]: Extracting #5: cost 0 inf + 5789 96.920 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 96.920 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))))) (* (cbrt (cos (/ K 2))) J)))) 96.921 * * * * [progress]: [ 118 / 119 ] simplifiying candidate # 96.921 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 96.921 * * [simplify]: iters left: 4 (6 enodes) 96.923 * * [simplify]: iters left: 3 (25 enodes) 96.929 * * [simplify]: iters left: 2 (39 enodes) 96.945 * * [simplify]: iters left: 1 (69 enodes) 96.969 * * [simplify]: Extracting #0: cost 1 inf + 0 96.970 * * [simplify]: Extracting #1: cost 9 inf + 0 96.970 * * [simplify]: Extracting #2: cost 23 inf + 1 96.970 * * [simplify]: Extracting #3: cost 23 inf + 5 96.970 * * [simplify]: Extracting #4: cost 20 inf + 8 96.970 * * [simplify]: Extracting #5: cost 9 inf + 2778 96.972 * * [simplify]: Extracting #6: cost 0 inf + 6930 96.973 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 96.973 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (* 1/2 K)))))) (* (cbrt (cos (/ K 2))) J)))) 96.973 * * * * [progress]: [ 119 / 119 ] simplifiying candidate # 96.974 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 96.974 * * [simplify]: iters left: 4 (6 enodes) 96.977 * * [simplify]: iters left: 3 (25 enodes) 96.987 * * [simplify]: iters left: 2 (39 enodes) 97.003 * * [simplify]: iters left: 1 (69 enodes) 97.026 * * [simplify]: Extracting #0: cost 1 inf + 0 97.026 * * [simplify]: Extracting #1: cost 9 inf + 0 97.027 * * [simplify]: Extracting #2: cost 23 inf + 1 97.027 * * [simplify]: Extracting #3: cost 23 inf + 5 97.027 * * [simplify]: Extracting #4: cost 20 inf + 8 97.027 * * [simplify]: Extracting #5: cost 9 inf + 2778 97.028 * * [simplify]: Extracting #6: cost 0 inf + 6930 97.030 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 97.030 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (* 1/2 K)))))) (* (cbrt (cos (/ K 2))) J)))) 97.030 * * * [progress]: adding candidates to table 98.803 * * [progress]: iteration 4 / 4 98.803 * * * [progress]: picking best candidate 98.827 * * * * [pick]: Picked # 98.827 * * * [progress]: localizing error 98.910 * * * [progress]: generating rewritten candidates 98.910 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 99.059 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 99.597 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 99.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 99.600 * * * [progress]: generating series expansions 99.600 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 99.600 * [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)) 99.600 * [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 99.600 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 99.600 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 99.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 99.600 * [taylor]: Taking taylor expansion of 1/4 in J 99.600 * [backup-simplify]: Simplify 1/4 into 1/4 99.600 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 99.600 * [taylor]: Taking taylor expansion of (pow U 2) in J 99.600 * [taylor]: Taking taylor expansion of U in J 99.600 * [backup-simplify]: Simplify U into U 99.600 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 99.600 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 99.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 99.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 99.600 * [taylor]: Taking taylor expansion of 1/2 in J 99.600 * [backup-simplify]: Simplify 1/2 into 1/2 99.600 * [taylor]: Taking taylor expansion of K in J 99.601 * [backup-simplify]: Simplify K into K 99.601 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.601 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.601 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.601 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 99.601 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 99.601 * [backup-simplify]: Simplify (- 0) into 0 99.601 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 99.601 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.601 * [taylor]: Taking taylor expansion of J in J 99.601 * [backup-simplify]: Simplify 0 into 0 99.601 * [backup-simplify]: Simplify 1 into 1 99.601 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.602 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 99.602 * [backup-simplify]: Simplify (* 1 1) into 1 99.602 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 99.602 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 99.602 * [taylor]: Taking taylor expansion of 1 in J 99.602 * [backup-simplify]: Simplify 1 into 1 99.602 * [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))) 99.602 * [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))) 99.602 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 99.603 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.603 * [backup-simplify]: Simplify (+ 0) into 0 99.604 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 99.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 99.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.605 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 99.605 * [backup-simplify]: Simplify (- 0) into 0 99.605 * [backup-simplify]: Simplify (+ 0 0) into 0 99.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 99.606 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 99.606 * [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 99.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 99.606 * [backup-simplify]: Simplify (+ 0 0) into 0 99.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 99.607 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 99.607 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 99.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 99.607 * [taylor]: Taking taylor expansion of 1/4 in K 99.607 * [backup-simplify]: Simplify 1/4 into 1/4 99.607 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 99.607 * [taylor]: Taking taylor expansion of (pow U 2) in K 99.607 * [taylor]: Taking taylor expansion of U in K 99.607 * [backup-simplify]: Simplify U into U 99.607 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 99.607 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 99.607 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 99.607 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 99.607 * [taylor]: Taking taylor expansion of 1/2 in K 99.607 * [backup-simplify]: Simplify 1/2 into 1/2 99.607 * [taylor]: Taking taylor expansion of K in K 99.607 * [backup-simplify]: Simplify 0 into 0 99.607 * [backup-simplify]: Simplify 1 into 1 99.607 * [backup-simplify]: Simplify (* 1/2 0) into 0 99.608 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 99.608 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.608 * [taylor]: Taking taylor expansion of J in K 99.608 * [backup-simplify]: Simplify J into J 99.608 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.608 * [backup-simplify]: Simplify (* 1 1) into 1 99.608 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.608 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 99.608 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 99.608 * [taylor]: Taking taylor expansion of 1 in K 99.608 * [backup-simplify]: Simplify 1 into 1 99.608 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 99.608 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 99.609 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 99.609 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.609 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.609 * [backup-simplify]: Simplify (+ 0) into 0 99.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 99.610 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 99.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 99.610 * [backup-simplify]: Simplify (+ 0 0) into 0 99.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 99.611 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 99.611 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 99.611 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 99.611 * [taylor]: Taking taylor expansion of 1/4 in U 99.611 * [backup-simplify]: Simplify 1/4 into 1/4 99.611 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 99.611 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.611 * [taylor]: Taking taylor expansion of U in U 99.611 * [backup-simplify]: Simplify 0 into 0 99.611 * [backup-simplify]: Simplify 1 into 1 99.611 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 99.611 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 99.611 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 99.611 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 99.611 * [taylor]: Taking taylor expansion of 1/2 in U 99.611 * [backup-simplify]: Simplify 1/2 into 1/2 99.611 * [taylor]: Taking taylor expansion of K in U 99.611 * [backup-simplify]: Simplify K into K 99.611 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.611 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.611 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.611 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 99.611 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 99.612 * [backup-simplify]: Simplify (- 0) into 0 99.612 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 99.612 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.612 * [taylor]: Taking taylor expansion of J in U 99.612 * [backup-simplify]: Simplify J into J 99.612 * [backup-simplify]: Simplify (* 1 1) into 1 99.612 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 99.612 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.612 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 99.612 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 99.612 * [taylor]: Taking taylor expansion of 1 in U 99.612 * [backup-simplify]: Simplify 1 into 1 99.613 * [backup-simplify]: Simplify (+ 0 1) into 1 99.613 * [backup-simplify]: Simplify (sqrt 1) into 1 99.613 * [backup-simplify]: Simplify (+ 0 0) into 0 99.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.614 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 99.614 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 99.614 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 99.614 * [taylor]: Taking taylor expansion of 1/4 in U 99.614 * [backup-simplify]: Simplify 1/4 into 1/4 99.614 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 99.614 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.614 * [taylor]: Taking taylor expansion of U in U 99.614 * [backup-simplify]: Simplify 0 into 0 99.614 * [backup-simplify]: Simplify 1 into 1 99.614 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 99.614 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 99.614 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 99.614 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 99.614 * [taylor]: Taking taylor expansion of 1/2 in U 99.614 * [backup-simplify]: Simplify 1/2 into 1/2 99.614 * [taylor]: Taking taylor expansion of K in U 99.614 * [backup-simplify]: Simplify K into K 99.614 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.614 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.614 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.614 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 99.614 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 99.614 * [backup-simplify]: Simplify (- 0) into 0 99.614 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 99.615 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.615 * [taylor]: Taking taylor expansion of J in U 99.615 * [backup-simplify]: Simplify J into J 99.615 * [backup-simplify]: Simplify (* 1 1) into 1 99.615 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 99.615 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.615 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 99.615 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 99.615 * [taylor]: Taking taylor expansion of 1 in U 99.615 * [backup-simplify]: Simplify 1 into 1 99.616 * [backup-simplify]: Simplify (+ 0 1) into 1 99.616 * [backup-simplify]: Simplify (sqrt 1) into 1 99.616 * [backup-simplify]: Simplify (+ 0 0) into 0 99.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.617 * [taylor]: Taking taylor expansion of 1 in K 99.617 * [backup-simplify]: Simplify 1 into 1 99.617 * [taylor]: Taking taylor expansion of 1 in J 99.617 * [backup-simplify]: Simplify 1 into 1 99.617 * [taylor]: Taking taylor expansion of 0 in K 99.617 * [backup-simplify]: Simplify 0 into 0 99.617 * [taylor]: Taking taylor expansion of 0 in J 99.617 * [backup-simplify]: Simplify 0 into 0 99.617 * [taylor]: Taking taylor expansion of 0 in J 99.617 * [backup-simplify]: Simplify 0 into 0 99.617 * [backup-simplify]: Simplify 1 into 1 99.617 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 99.617 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 99.618 * [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))) 99.618 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 99.618 * [taylor]: Taking taylor expansion of 1/8 in K 99.618 * [backup-simplify]: Simplify 1/8 into 1/8 99.618 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 99.618 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 99.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 99.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 99.618 * [taylor]: Taking taylor expansion of 1/2 in K 99.618 * [backup-simplify]: Simplify 1/2 into 1/2 99.618 * [taylor]: Taking taylor expansion of K in K 99.618 * [backup-simplify]: Simplify 0 into 0 99.618 * [backup-simplify]: Simplify 1 into 1 99.619 * [backup-simplify]: Simplify (* 1/2 0) into 0 99.619 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 99.619 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.619 * [taylor]: Taking taylor expansion of J in K 99.619 * [backup-simplify]: Simplify J into J 99.620 * [backup-simplify]: Simplify (* 1 1) into 1 99.620 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.620 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 99.620 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 99.620 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 99.620 * [taylor]: Taking taylor expansion of 1/8 in J 99.620 * [backup-simplify]: Simplify 1/8 into 1/8 99.620 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.620 * [taylor]: Taking taylor expansion of J in J 99.620 * [backup-simplify]: Simplify 0 into 0 99.620 * [backup-simplify]: Simplify 1 into 1 99.621 * [backup-simplify]: Simplify (* 1 1) into 1 99.621 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 99.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 99.623 * [backup-simplify]: Simplify 0 into 0 99.623 * [taylor]: Taking taylor expansion of 0 in J 99.623 * [backup-simplify]: Simplify 0 into 0 99.623 * [taylor]: Taking taylor expansion of 0 in J 99.623 * [backup-simplify]: Simplify 0 into 0 99.623 * [backup-simplify]: Simplify 0 into 0 99.623 * [backup-simplify]: Simplify 0 into 0 99.623 * [backup-simplify]: Simplify 0 into 0 99.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.624 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.624 * [backup-simplify]: Simplify (+ 0) into 0 99.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 99.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 99.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.627 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 99.627 * [backup-simplify]: Simplify (- 0) into 0 99.627 * [backup-simplify]: Simplify (+ 0 0) into 0 99.627 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 99.628 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 99.628 * [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 99.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 99.629 * [backup-simplify]: Simplify (+ 0 0) into 0 99.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 99.630 * [taylor]: Taking taylor expansion of 0 in K 99.630 * [backup-simplify]: Simplify 0 into 0 99.630 * [taylor]: Taking taylor expansion of 0 in J 99.630 * [backup-simplify]: Simplify 0 into 0 99.630 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.631 * [backup-simplify]: Simplify (+ 0) into 0 99.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 99.632 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 99.632 * [taylor]: Taking taylor expansion of 0 in J 99.632 * [backup-simplify]: Simplify 0 into 0 99.632 * [taylor]: Taking taylor expansion of 0 in J 99.632 * [backup-simplify]: Simplify 0 into 0 99.632 * [taylor]: Taking taylor expansion of 0 in J 99.632 * [backup-simplify]: Simplify 0 into 0 99.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 99.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 99.634 * [backup-simplify]: Simplify 0 into 0 99.634 * [backup-simplify]: Simplify 0 into 0 99.634 * [backup-simplify]: Simplify 1 into 1 99.635 * [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)) 99.635 * [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 99.635 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 99.635 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 99.635 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 99.635 * [taylor]: Taking taylor expansion of 1/4 in J 99.635 * [backup-simplify]: Simplify 1/4 into 1/4 99.635 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 99.635 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.635 * [taylor]: Taking taylor expansion of J in J 99.635 * [backup-simplify]: Simplify 0 into 0 99.635 * [backup-simplify]: Simplify 1 into 1 99.635 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 99.635 * [taylor]: Taking taylor expansion of (pow U 2) in J 99.635 * [taylor]: Taking taylor expansion of U in J 99.636 * [backup-simplify]: Simplify U into U 99.636 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 99.636 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 99.636 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 99.636 * [taylor]: Taking taylor expansion of 1/2 in J 99.636 * [backup-simplify]: Simplify 1/2 into 1/2 99.636 * [taylor]: Taking taylor expansion of K in J 99.636 * [backup-simplify]: Simplify K into K 99.636 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.636 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.636 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.636 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.637 * [backup-simplify]: Simplify (- 0) into 0 99.637 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.638 * [backup-simplify]: Simplify (* 1 1) into 1 99.638 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.638 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.638 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 99.638 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 99.638 * [taylor]: Taking taylor expansion of 1 in J 99.638 * [backup-simplify]: Simplify 1 into 1 99.639 * [backup-simplify]: Simplify (+ 0 1) into 1 99.639 * [backup-simplify]: Simplify (sqrt 1) into 1 99.639 * [backup-simplify]: Simplify (+ 0 0) into 0 99.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.640 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 99.640 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 99.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 99.640 * [taylor]: Taking taylor expansion of 1/4 in K 99.640 * [backup-simplify]: Simplify 1/4 into 1/4 99.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 99.640 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.640 * [taylor]: Taking taylor expansion of J in K 99.640 * [backup-simplify]: Simplify J into J 99.640 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 99.640 * [taylor]: Taking taylor expansion of (pow U 2) in K 99.641 * [taylor]: Taking taylor expansion of U in K 99.641 * [backup-simplify]: Simplify U into U 99.641 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 99.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 99.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 99.641 * [taylor]: Taking taylor expansion of 1/2 in K 99.641 * [backup-simplify]: Simplify 1/2 into 1/2 99.641 * [taylor]: Taking taylor expansion of K in K 99.641 * [backup-simplify]: Simplify 0 into 0 99.641 * [backup-simplify]: Simplify 1 into 1 99.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 99.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.641 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.641 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.642 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.642 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 99.642 * [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))) 99.642 * [taylor]: Taking taylor expansion of 1 in K 99.642 * [backup-simplify]: Simplify 1 into 1 99.642 * [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)))) 99.643 * [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) 99.643 * [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)) 99.643 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.643 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.644 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 99.644 * [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 99.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 99.645 * [backup-simplify]: Simplify (+ 0 0) into 0 99.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 99.646 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 99.646 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 99.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 99.646 * [taylor]: Taking taylor expansion of 1/4 in U 99.646 * [backup-simplify]: Simplify 1/4 into 1/4 99.646 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 99.646 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.646 * [taylor]: Taking taylor expansion of J in U 99.646 * [backup-simplify]: Simplify J into J 99.646 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 99.646 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.646 * [taylor]: Taking taylor expansion of U in U 99.646 * [backup-simplify]: Simplify 0 into 0 99.646 * [backup-simplify]: Simplify 1 into 1 99.646 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 99.646 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 99.646 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 99.646 * [taylor]: Taking taylor expansion of 1/2 in U 99.646 * [backup-simplify]: Simplify 1/2 into 1/2 99.647 * [taylor]: Taking taylor expansion of K in U 99.647 * [backup-simplify]: Simplify K into K 99.647 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.647 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.647 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.647 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.647 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.647 * [backup-simplify]: Simplify (- 0) into 0 99.647 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.648 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.648 * [backup-simplify]: Simplify (* 1 1) into 1 99.648 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.648 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 99.648 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 99.648 * [taylor]: Taking taylor expansion of 1 in U 99.648 * [backup-simplify]: Simplify 1 into 1 99.649 * [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))) 99.649 * [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))) 99.649 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 99.649 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.650 * [backup-simplify]: Simplify (+ 0) into 0 99.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.652 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.652 * [backup-simplify]: Simplify (- 0) into 0 99.652 * [backup-simplify]: Simplify (+ 0 0) into 0 99.652 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 99.654 * [backup-simplify]: 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 99.655 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 99.655 * [backup-simplify]: Simplify (+ 0 0) into 0 99.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 99.655 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 99.655 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 99.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 99.655 * [taylor]: Taking taylor expansion of 1/4 in U 99.655 * [backup-simplify]: Simplify 1/4 into 1/4 99.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 99.656 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.656 * [taylor]: Taking taylor expansion of J in U 99.656 * [backup-simplify]: Simplify J into J 99.656 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 99.656 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.656 * [taylor]: Taking taylor expansion of U in U 99.656 * [backup-simplify]: Simplify 0 into 0 99.656 * [backup-simplify]: Simplify 1 into 1 99.656 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 99.656 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 99.656 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 99.656 * [taylor]: Taking taylor expansion of 1/2 in U 99.656 * [backup-simplify]: Simplify 1/2 into 1/2 99.656 * [taylor]: Taking taylor expansion of K in U 99.656 * [backup-simplify]: Simplify K into K 99.656 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.656 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.656 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.656 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.656 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.657 * [backup-simplify]: Simplify (- 0) into 0 99.657 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.657 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.657 * [backup-simplify]: Simplify (* 1 1) into 1 99.657 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.657 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 99.658 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 99.658 * [taylor]: Taking taylor expansion of 1 in U 99.658 * [backup-simplify]: Simplify 1 into 1 99.658 * [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))) 99.658 * [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))) 99.658 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 99.658 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.659 * [backup-simplify]: Simplify (+ 0) into 0 99.659 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.661 * [backup-simplify]: Simplify (- 0) into 0 99.662 * [backup-simplify]: Simplify (+ 0 0) into 0 99.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 99.663 * [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 99.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 99.664 * [backup-simplify]: Simplify (+ 0 0) into 0 99.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 99.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 99.665 * [taylor]: Taking taylor expansion of 1/2 in K 99.665 * [backup-simplify]: Simplify 1/2 into 1/2 99.665 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 99.665 * [taylor]: Taking taylor expansion of J in K 99.665 * [backup-simplify]: Simplify J into J 99.665 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 99.665 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 99.665 * [taylor]: Taking taylor expansion of 1/2 in K 99.665 * [backup-simplify]: Simplify 1/2 into 1/2 99.665 * [taylor]: Taking taylor expansion of K in K 99.665 * [backup-simplify]: Simplify 0 into 0 99.665 * [backup-simplify]: Simplify 1 into 1 99.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 99.666 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.666 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 99.666 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 99.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 99.666 * [taylor]: Taking taylor expansion of 1/2 in J 99.666 * [backup-simplify]: Simplify 1/2 into 1/2 99.666 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 99.666 * [taylor]: Taking taylor expansion of J in J 99.666 * [backup-simplify]: Simplify 0 into 0 99.666 * [backup-simplify]: Simplify 1 into 1 99.666 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 99.666 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 99.666 * [taylor]: Taking taylor expansion of 1/2 in J 99.666 * [backup-simplify]: Simplify 1/2 into 1/2 99.666 * [taylor]: Taking taylor expansion of K in J 99.666 * [backup-simplify]: Simplify K into K 99.666 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.666 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.666 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.666 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.667 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.667 * [backup-simplify]: Simplify (- 0) into 0 99.667 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.667 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 99.667 * [taylor]: Taking taylor expansion of 0 in K 99.667 * [backup-simplify]: Simplify 0 into 0 99.667 * [taylor]: Taking taylor expansion of 0 in J 99.667 * [backup-simplify]: Simplify 0 into 0 99.667 * [backup-simplify]: Simplify 0 into 0 99.668 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 99.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 99.668 * [taylor]: Taking taylor expansion of 0 in J 99.668 * [backup-simplify]: Simplify 0 into 0 99.668 * [backup-simplify]: Simplify 0 into 0 99.668 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 99.668 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 99.669 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 99.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.671 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.672 * [backup-simplify]: Simplify (- 0) into 0 99.673 * [backup-simplify]: Simplify (+ 0 0) into 0 99.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 99.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 99.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 99.675 * [backup-simplify]: 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 99.677 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 99.677 * [backup-simplify]: Simplify (+ 0 1) into 1 99.678 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 99.678 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 99.678 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 99.678 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 99.678 * [taylor]: Taking taylor expansion of 1/2 in K 99.678 * [backup-simplify]: Simplify 1/2 into 1/2 99.678 * [taylor]: Taking taylor expansion of K in K 99.678 * [backup-simplify]: Simplify 0 into 0 99.678 * [backup-simplify]: Simplify 1 into 1 99.679 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 99.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.679 * [taylor]: Taking taylor expansion of J in K 99.679 * [backup-simplify]: Simplify J into J 99.679 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 99.679 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 99.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 99.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 99.679 * [taylor]: Taking taylor expansion of 1/2 in J 99.679 * [backup-simplify]: Simplify 1/2 into 1/2 99.679 * [taylor]: Taking taylor expansion of K in J 99.679 * [backup-simplify]: Simplify K into K 99.679 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.679 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.679 * [taylor]: Taking taylor expansion of J in J 99.679 * [backup-simplify]: Simplify 0 into 0 99.679 * [backup-simplify]: Simplify 1 into 1 99.679 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.679 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.680 * [backup-simplify]: Simplify (- 0) into 0 99.680 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.680 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.680 * [backup-simplify]: Simplify (+ 0) into 0 99.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.681 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.683 * [backup-simplify]: Simplify (- 0) into 0 99.683 * [backup-simplify]: Simplify (+ 0 0) into 0 99.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 99.684 * [backup-simplify]: Simplify 0 into 0 99.684 * [taylor]: Taking taylor expansion of 0 in J 99.684 * [backup-simplify]: Simplify 0 into 0 99.684 * [backup-simplify]: Simplify 0 into 0 99.684 * [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 99.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 99.685 * [taylor]: Taking taylor expansion of 0 in J 99.685 * [backup-simplify]: Simplify 0 into 0 99.685 * [backup-simplify]: Simplify 0 into 0 99.685 * [backup-simplify]: Simplify 0 into 0 99.686 * [backup-simplify]: Simplify 0 into 0 99.686 * [backup-simplify]: Simplify (+ 0) into 0 99.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.688 * [backup-simplify]: Simplify (- 0) into 0 99.689 * [backup-simplify]: Simplify (+ 0 0) into 0 99.689 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 99.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 99.689 * [backup-simplify]: Simplify 0 into 0 99.690 * [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))) 99.691 * [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)))))) 99.691 * [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 99.691 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 99.691 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 99.691 * [taylor]: Taking taylor expansion of 1 in J 99.691 * [backup-simplify]: Simplify 1 into 1 99.691 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 99.691 * [taylor]: Taking taylor expansion of 1/4 in J 99.691 * [backup-simplify]: Simplify 1/4 into 1/4 99.691 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 99.691 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.691 * [taylor]: Taking taylor expansion of J in J 99.691 * [backup-simplify]: Simplify 0 into 0 99.691 * [backup-simplify]: Simplify 1 into 1 99.691 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 99.691 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 99.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 99.691 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 99.691 * [taylor]: Taking taylor expansion of -1/2 in J 99.691 * [backup-simplify]: Simplify -1/2 into -1/2 99.691 * [taylor]: Taking taylor expansion of K in J 99.691 * [backup-simplify]: Simplify K into K 99.691 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.691 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.691 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.692 * [backup-simplify]: Simplify (- 0) into 0 99.692 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.692 * [taylor]: Taking taylor expansion of (pow U 2) in J 99.692 * [taylor]: Taking taylor expansion of U in J 99.692 * [backup-simplify]: Simplify U into U 99.693 * [backup-simplify]: Simplify (* 1 1) into 1 99.693 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.693 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.693 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 99.693 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 99.694 * [backup-simplify]: Simplify (+ 1 0) into 1 99.694 * [backup-simplify]: Simplify (sqrt 1) into 1 99.694 * [backup-simplify]: Simplify (+ 0 0) into 0 99.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.695 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 99.695 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 99.695 * [taylor]: Taking taylor expansion of 1 in K 99.695 * [backup-simplify]: Simplify 1 into 1 99.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 99.695 * [taylor]: Taking taylor expansion of 1/4 in K 99.695 * [backup-simplify]: Simplify 1/4 into 1/4 99.695 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 99.695 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.695 * [taylor]: Taking taylor expansion of J in K 99.695 * [backup-simplify]: Simplify J into J 99.696 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 99.696 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 99.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 99.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 99.696 * [taylor]: Taking taylor expansion of -1/2 in K 99.696 * [backup-simplify]: Simplify -1/2 into -1/2 99.696 * [taylor]: Taking taylor expansion of K in K 99.696 * [backup-simplify]: Simplify 0 into 0 99.696 * [backup-simplify]: Simplify 1 into 1 99.696 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 99.696 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.696 * [taylor]: Taking taylor expansion of (pow U 2) in K 99.696 * [taylor]: Taking taylor expansion of U in K 99.696 * [backup-simplify]: Simplify U into U 99.696 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.697 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.697 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.697 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 99.697 * [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))) 99.697 * [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)))) 99.698 * [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))))) 99.698 * [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)))))) 99.698 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.698 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 99.699 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 99.699 * [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 99.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 99.700 * [backup-simplify]: Simplify (+ 0 0) into 0 99.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 99.701 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 99.701 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 99.701 * [taylor]: Taking taylor expansion of 1 in U 99.701 * [backup-simplify]: Simplify 1 into 1 99.701 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 99.701 * [taylor]: Taking taylor expansion of 1/4 in U 99.701 * [backup-simplify]: Simplify 1/4 into 1/4 99.701 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 99.701 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.701 * [taylor]: Taking taylor expansion of J in U 99.701 * [backup-simplify]: Simplify J into J 99.701 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 99.701 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 99.701 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 99.701 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 99.701 * [taylor]: Taking taylor expansion of -1/2 in U 99.701 * [backup-simplify]: Simplify -1/2 into -1/2 99.701 * [taylor]: Taking taylor expansion of K in U 99.701 * [backup-simplify]: Simplify K into K 99.701 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.702 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.702 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.702 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.702 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.702 * [backup-simplify]: Simplify (- 0) into 0 99.702 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.702 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.702 * [taylor]: Taking taylor expansion of U in U 99.702 * [backup-simplify]: Simplify 0 into 0 99.702 * [backup-simplify]: Simplify 1 into 1 99.702 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.703 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.703 * [backup-simplify]: Simplify (* 1 1) into 1 99.703 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 99.703 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 99.703 * [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))) 99.704 * [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))) 99.704 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 99.704 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.705 * [backup-simplify]: Simplify (+ 0) into 0 99.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.707 * [backup-simplify]: Simplify (- 0) into 0 99.708 * [backup-simplify]: Simplify (+ 0 0) into 0 99.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 99.708 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 99.709 * [backup-simplify]: 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 99.709 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 99.710 * [backup-simplify]: Simplify (+ 0 0) into 0 99.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 99.710 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 99.710 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 99.710 * [taylor]: Taking taylor expansion of 1 in U 99.710 * [backup-simplify]: Simplify 1 into 1 99.710 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 99.710 * [taylor]: Taking taylor expansion of 1/4 in U 99.710 * [backup-simplify]: Simplify 1/4 into 1/4 99.710 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 99.710 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.710 * [taylor]: Taking taylor expansion of J in U 99.710 * [backup-simplify]: Simplify J into J 99.710 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 99.710 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 99.710 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 99.711 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 99.711 * [taylor]: Taking taylor expansion of -1/2 in U 99.711 * [backup-simplify]: Simplify -1/2 into -1/2 99.711 * [taylor]: Taking taylor expansion of K in U 99.711 * [backup-simplify]: Simplify K into K 99.711 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.711 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.711 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.711 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.711 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.712 * [backup-simplify]: Simplify (- 0) into 0 99.712 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.712 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.712 * [taylor]: Taking taylor expansion of U in U 99.712 * [backup-simplify]: Simplify 0 into 0 99.712 * [backup-simplify]: Simplify 1 into 1 99.712 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.713 * [backup-simplify]: Simplify (* 1 1) into 1 99.713 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 99.713 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 99.713 * [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))) 99.714 * [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))) 99.714 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 99.714 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.715 * [backup-simplify]: Simplify (+ 0) into 0 99.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.717 * [backup-simplify]: Simplify (- 0) into 0 99.718 * [backup-simplify]: Simplify (+ 0 0) into 0 99.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 99.718 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 99.719 * [backup-simplify]: 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 99.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 99.720 * [backup-simplify]: Simplify (+ 0 0) into 0 99.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 99.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 99.720 * [taylor]: Taking taylor expansion of 1/2 in K 99.720 * [backup-simplify]: Simplify 1/2 into 1/2 99.720 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 99.720 * [taylor]: Taking taylor expansion of J in K 99.720 * [backup-simplify]: Simplify J into J 99.720 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 99.720 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 99.721 * [taylor]: Taking taylor expansion of -1/2 in K 99.721 * [backup-simplify]: Simplify -1/2 into -1/2 99.721 * [taylor]: Taking taylor expansion of K in K 99.721 * [backup-simplify]: Simplify 0 into 0 99.721 * [backup-simplify]: Simplify 1 into 1 99.721 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 99.721 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.721 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 99.721 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 99.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 99.721 * [taylor]: Taking taylor expansion of 1/2 in J 99.721 * [backup-simplify]: Simplify 1/2 into 1/2 99.721 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 99.722 * [taylor]: Taking taylor expansion of J in J 99.722 * [backup-simplify]: Simplify 0 into 0 99.722 * [backup-simplify]: Simplify 1 into 1 99.722 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 99.722 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 99.722 * [taylor]: Taking taylor expansion of -1/2 in J 99.722 * [backup-simplify]: Simplify -1/2 into -1/2 99.722 * [taylor]: Taking taylor expansion of K in J 99.722 * [backup-simplify]: Simplify K into K 99.722 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.722 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.722 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.722 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.722 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.722 * [backup-simplify]: Simplify (- 0) into 0 99.723 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.723 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 99.723 * [taylor]: Taking taylor expansion of 0 in K 99.723 * [backup-simplify]: Simplify 0 into 0 99.723 * [taylor]: Taking taylor expansion of 0 in J 99.723 * [backup-simplify]: Simplify 0 into 0 99.723 * [backup-simplify]: Simplify 0 into 0 99.723 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 99.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 99.724 * [taylor]: Taking taylor expansion of 0 in J 99.724 * [backup-simplify]: Simplify 0 into 0 99.724 * [backup-simplify]: Simplify 0 into 0 99.724 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 99.724 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 99.724 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 99.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 99.729 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.731 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.732 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.732 * [backup-simplify]: Simplify (- 0) into 0 99.733 * [backup-simplify]: Simplify (+ 0 0) into 0 99.733 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 99.734 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 99.735 * [backup-simplify]: 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 99.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 99.736 * [backup-simplify]: Simplify (+ 1 0) into 1 99.737 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 99.737 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 99.737 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 99.737 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 99.737 * [taylor]: Taking taylor expansion of -1/2 in K 99.737 * [backup-simplify]: Simplify -1/2 into -1/2 99.737 * [taylor]: Taking taylor expansion of K in K 99.737 * [backup-simplify]: Simplify 0 into 0 99.737 * [backup-simplify]: Simplify 1 into 1 99.738 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 99.738 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.738 * [taylor]: Taking taylor expansion of J in K 99.738 * [backup-simplify]: Simplify J into J 99.738 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 99.738 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 99.738 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 99.738 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 99.738 * [taylor]: Taking taylor expansion of -1/2 in J 99.738 * [backup-simplify]: Simplify -1/2 into -1/2 99.738 * [taylor]: Taking taylor expansion of K in J 99.738 * [backup-simplify]: Simplify K into K 99.738 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.738 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.738 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.738 * [taylor]: Taking taylor expansion of J in J 99.738 * [backup-simplify]: Simplify 0 into 0 99.738 * [backup-simplify]: Simplify 1 into 1 99.738 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.739 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.739 * [backup-simplify]: Simplify (- 0) into 0 99.739 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.739 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.740 * [backup-simplify]: Simplify (+ 0) into 0 99.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.740 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.741 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.741 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.742 * [backup-simplify]: Simplify (- 0) into 0 99.742 * [backup-simplify]: Simplify (+ 0 0) into 0 99.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 99.743 * [backup-simplify]: Simplify 0 into 0 99.743 * [taylor]: Taking taylor expansion of 0 in J 99.743 * [backup-simplify]: Simplify 0 into 0 99.743 * [backup-simplify]: Simplify 0 into 0 99.744 * [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 99.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 99.745 * [taylor]: Taking taylor expansion of 0 in J 99.745 * [backup-simplify]: Simplify 0 into 0 99.745 * [backup-simplify]: Simplify 0 into 0 99.745 * [backup-simplify]: Simplify 0 into 0 99.745 * [backup-simplify]: Simplify 0 into 0 99.745 * [backup-simplify]: Simplify (+ 0) into 0 99.746 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.746 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.747 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.748 * [backup-simplify]: Simplify (- 0) into 0 99.748 * [backup-simplify]: Simplify (+ 0 0) into 0 99.748 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 99.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 99.749 * [backup-simplify]: Simplify 0 into 0 99.749 * [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))) 99.749 * * * * [progress]: [ 2 / 4 ] generating series at (2) 99.750 * [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)))) 99.750 * [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 99.750 * [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 99.750 * [taylor]: Taking taylor expansion of -2 in J 99.750 * [backup-simplify]: Simplify -2 into -2 99.750 * [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 99.750 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 99.750 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 99.750 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 99.750 * [taylor]: Taking taylor expansion of 1/2 in J 99.750 * [backup-simplify]: Simplify 1/2 into 1/2 99.750 * [taylor]: Taking taylor expansion of K in J 99.750 * [backup-simplify]: Simplify K into K 99.750 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.750 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.750 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.750 * [taylor]: Taking taylor expansion of J in J 99.751 * [backup-simplify]: Simplify 0 into 0 99.751 * [backup-simplify]: Simplify 1 into 1 99.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 99.751 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 99.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 99.751 * [taylor]: Taking taylor expansion of 1/4 in J 99.751 * [backup-simplify]: Simplify 1/4 into 1/4 99.751 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 99.751 * [taylor]: Taking taylor expansion of (pow U 2) in J 99.751 * [taylor]: Taking taylor expansion of U in J 99.751 * [backup-simplify]: Simplify U into U 99.751 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 99.751 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 99.751 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 99.751 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 99.751 * [taylor]: Taking taylor expansion of 1/2 in J 99.751 * [backup-simplify]: Simplify 1/2 into 1/2 99.751 * [taylor]: Taking taylor expansion of K in J 99.751 * [backup-simplify]: Simplify K into K 99.751 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.751 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.751 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.751 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 99.751 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 99.752 * [backup-simplify]: Simplify (- 0) into 0 99.752 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 99.752 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.752 * [taylor]: Taking taylor expansion of J in J 99.752 * [backup-simplify]: Simplify 0 into 0 99.752 * [backup-simplify]: Simplify 1 into 1 99.752 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.752 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 99.753 * [backup-simplify]: Simplify (* 1 1) into 1 99.753 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 99.753 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 99.753 * [taylor]: Taking taylor expansion of 1 in J 99.753 * [backup-simplify]: Simplify 1 into 1 99.753 * [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))) 99.753 * [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))) 99.754 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 99.754 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.755 * [backup-simplify]: Simplify (+ 0) into 0 99.755 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 99.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 99.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.757 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 99.757 * [backup-simplify]: Simplify (- 0) into 0 99.758 * [backup-simplify]: Simplify (+ 0 0) into 0 99.758 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 99.759 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 99.759 * [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 99.760 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 99.760 * [backup-simplify]: Simplify (+ 0 0) into 0 99.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 99.760 * [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 99.760 * [taylor]: Taking taylor expansion of -2 in K 99.760 * [backup-simplify]: Simplify -2 into -2 99.760 * [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 99.760 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 99.760 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 99.760 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 99.760 * [taylor]: Taking taylor expansion of 1/2 in K 99.760 * [backup-simplify]: Simplify 1/2 into 1/2 99.760 * [taylor]: Taking taylor expansion of K in K 99.760 * [backup-simplify]: Simplify 0 into 0 99.761 * [backup-simplify]: Simplify 1 into 1 99.761 * [backup-simplify]: Simplify (* 1/2 0) into 0 99.762 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 99.762 * [taylor]: Taking taylor expansion of J in K 99.762 * [backup-simplify]: Simplify J into J 99.762 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 99.762 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 99.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 99.762 * [taylor]: Taking taylor expansion of 1/4 in K 99.762 * [backup-simplify]: Simplify 1/4 into 1/4 99.762 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 99.762 * [taylor]: Taking taylor expansion of (pow U 2) in K 99.762 * [taylor]: Taking taylor expansion of U in K 99.762 * [backup-simplify]: Simplify U into U 99.762 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 99.762 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 99.762 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 99.762 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 99.762 * [taylor]: Taking taylor expansion of 1/2 in K 99.762 * [backup-simplify]: Simplify 1/2 into 1/2 99.762 * [taylor]: Taking taylor expansion of K in K 99.762 * [backup-simplify]: Simplify 0 into 0 99.762 * [backup-simplify]: Simplify 1 into 1 99.763 * [backup-simplify]: Simplify (* 1/2 0) into 0 99.764 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 99.764 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.764 * [taylor]: Taking taylor expansion of J in K 99.764 * [backup-simplify]: Simplify J into J 99.764 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.764 * [backup-simplify]: Simplify (* 1 1) into 1 99.764 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.764 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 99.765 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 99.765 * [taylor]: Taking taylor expansion of 1 in K 99.765 * [backup-simplify]: Simplify 1 into 1 99.765 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 99.765 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 99.765 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 99.766 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.766 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.766 * [backup-simplify]: Simplify (+ 0) into 0 99.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 99.768 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 99.768 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 99.768 * [backup-simplify]: Simplify (+ 0 0) into 0 99.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 99.769 * [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 99.769 * [taylor]: Taking taylor expansion of -2 in U 99.769 * [backup-simplify]: Simplify -2 into -2 99.769 * [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 99.769 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 99.769 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 99.769 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 99.769 * [taylor]: Taking taylor expansion of 1/2 in U 99.769 * [backup-simplify]: Simplify 1/2 into 1/2 99.769 * [taylor]: Taking taylor expansion of K in U 99.769 * [backup-simplify]: Simplify K into K 99.769 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.769 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.769 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.769 * [taylor]: Taking taylor expansion of J in U 99.769 * [backup-simplify]: Simplify J into J 99.769 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 99.769 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 99.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 99.770 * [taylor]: Taking taylor expansion of 1/4 in U 99.770 * [backup-simplify]: Simplify 1/4 into 1/4 99.770 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 99.770 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.770 * [taylor]: Taking taylor expansion of U in U 99.770 * [backup-simplify]: Simplify 0 into 0 99.770 * [backup-simplify]: Simplify 1 into 1 99.770 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 99.770 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 99.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 99.770 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 99.770 * [taylor]: Taking taylor expansion of 1/2 in U 99.770 * [backup-simplify]: Simplify 1/2 into 1/2 99.770 * [taylor]: Taking taylor expansion of K in U 99.770 * [backup-simplify]: Simplify K into K 99.770 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.770 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.770 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.770 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 99.770 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 99.771 * [backup-simplify]: Simplify (- 0) into 0 99.771 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 99.771 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.771 * [taylor]: Taking taylor expansion of J in U 99.771 * [backup-simplify]: Simplify J into J 99.771 * [backup-simplify]: Simplify (* 1 1) into 1 99.771 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 99.771 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.772 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 99.772 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 99.772 * [taylor]: Taking taylor expansion of 1 in U 99.772 * [backup-simplify]: Simplify 1 into 1 99.772 * [backup-simplify]: Simplify (+ 0 1) into 1 99.773 * [backup-simplify]: Simplify (sqrt 1) into 1 99.773 * [backup-simplify]: Simplify (+ 0 0) into 0 99.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.774 * [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 99.774 * [taylor]: Taking taylor expansion of -2 in U 99.774 * [backup-simplify]: Simplify -2 into -2 99.774 * [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 99.774 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 99.774 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 99.774 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 99.774 * [taylor]: Taking taylor expansion of 1/2 in U 99.774 * [backup-simplify]: Simplify 1/2 into 1/2 99.774 * [taylor]: Taking taylor expansion of K in U 99.774 * [backup-simplify]: Simplify K into K 99.774 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.774 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.774 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.774 * [taylor]: Taking taylor expansion of J in U 99.774 * [backup-simplify]: Simplify J into J 99.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 99.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 99.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 99.774 * [taylor]: Taking taylor expansion of 1/4 in U 99.774 * [backup-simplify]: Simplify 1/4 into 1/4 99.774 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 99.775 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.775 * [taylor]: Taking taylor expansion of U in U 99.775 * [backup-simplify]: Simplify 0 into 0 99.775 * [backup-simplify]: Simplify 1 into 1 99.775 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 99.775 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 99.775 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 99.775 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 99.775 * [taylor]: Taking taylor expansion of 1/2 in U 99.775 * [backup-simplify]: Simplify 1/2 into 1/2 99.775 * [taylor]: Taking taylor expansion of K in U 99.775 * [backup-simplify]: Simplify K into K 99.775 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 99.775 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 99.775 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 99.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 99.775 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 99.776 * [backup-simplify]: Simplify (- 0) into 0 99.776 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 99.776 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.776 * [taylor]: Taking taylor expansion of J in U 99.776 * [backup-simplify]: Simplify J into J 99.776 * [backup-simplify]: Simplify (* 1 1) into 1 99.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 99.776 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.777 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 99.777 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 99.777 * [taylor]: Taking taylor expansion of 1 in U 99.777 * [backup-simplify]: Simplify 1 into 1 99.777 * [backup-simplify]: Simplify (+ 0 1) into 1 99.778 * [backup-simplify]: Simplify (sqrt 1) into 1 99.778 * [backup-simplify]: Simplify (+ 0 0) into 0 99.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.779 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 99.779 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 99.779 * [backup-simplify]: Simplify (- 0) into 0 99.779 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 99.779 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 99.780 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 99.780 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 99.780 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 99.780 * [taylor]: Taking taylor expansion of -2 in K 99.780 * [backup-simplify]: Simplify -2 into -2 99.780 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 99.780 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 99.780 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 99.780 * [taylor]: Taking taylor expansion of 1/2 in K 99.780 * [backup-simplify]: Simplify 1/2 into 1/2 99.780 * [taylor]: Taking taylor expansion of K in K 99.780 * [backup-simplify]: Simplify 0 into 0 99.780 * [backup-simplify]: Simplify 1 into 1 99.780 * [backup-simplify]: Simplify (* 1/2 0) into 0 99.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 99.781 * [taylor]: Taking taylor expansion of J in K 99.781 * [backup-simplify]: Simplify J into J 99.781 * [backup-simplify]: Simplify (* 1 J) into J 99.781 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 99.781 * [taylor]: Taking taylor expansion of (* -2 J) in J 99.781 * [taylor]: Taking taylor expansion of -2 in J 99.781 * [backup-simplify]: Simplify -2 into -2 99.781 * [taylor]: Taking taylor expansion of J in J 99.781 * [backup-simplify]: Simplify 0 into 0 99.781 * [backup-simplify]: Simplify 1 into 1 99.782 * [backup-simplify]: Simplify (+ 0) into 0 99.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 99.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 99.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.784 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 99.784 * [backup-simplify]: Simplify (- 0) into 0 99.785 * [backup-simplify]: Simplify (+ 0 0) into 0 99.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 99.785 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 99.786 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 99.786 * [taylor]: Taking taylor expansion of 0 in K 99.786 * [backup-simplify]: Simplify 0 into 0 99.786 * [taylor]: Taking taylor expansion of 0 in J 99.786 * [backup-simplify]: Simplify 0 into 0 99.786 * [backup-simplify]: Simplify (+ 0) into 0 99.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 99.787 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 99.787 * [taylor]: Taking taylor expansion of 0 in J 99.787 * [backup-simplify]: Simplify 0 into 0 99.788 * [backup-simplify]: Simplify (* -2 0) into 0 99.788 * [backup-simplify]: Simplify 0 into 0 99.788 * [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))) 99.788 * [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)))) 99.790 * [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))) 99.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.791 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 99.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.793 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.794 * [backup-simplify]: Simplify (- 0) into 0 99.794 * [backup-simplify]: Simplify (+ 0 0) into 0 99.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 99.795 * [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))) 99.796 * [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)))) 99.796 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 99.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 99.796 * [taylor]: Taking taylor expansion of 1/4 in K 99.796 * [backup-simplify]: Simplify 1/4 into 1/4 99.796 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 99.796 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 99.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 99.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 99.796 * [taylor]: Taking taylor expansion of 1/2 in K 99.796 * [backup-simplify]: Simplify 1/2 into 1/2 99.796 * [taylor]: Taking taylor expansion of K in K 99.796 * [backup-simplify]: Simplify 0 into 0 99.796 * [backup-simplify]: Simplify 1 into 1 99.797 * [backup-simplify]: Simplify (* 1/2 0) into 0 99.797 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 99.798 * [taylor]: Taking taylor expansion of J in K 99.798 * [backup-simplify]: Simplify J into J 99.798 * [backup-simplify]: Simplify (* 1 J) into J 99.798 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 99.798 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 99.798 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 99.798 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 99.798 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 99.798 * [taylor]: Taking taylor expansion of 1/4 in J 99.798 * [backup-simplify]: Simplify 1/4 into 1/4 99.798 * [taylor]: Taking taylor expansion of (/ 1 J) in J 99.798 * [taylor]: Taking taylor expansion of J in J 99.798 * [backup-simplify]: Simplify 0 into 0 99.798 * [backup-simplify]: Simplify 1 into 1 99.798 * [backup-simplify]: Simplify (/ 1 1) into 1 99.799 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 99.799 * [backup-simplify]: Simplify (- 1/4) into -1/4 99.799 * [backup-simplify]: Simplify -1/4 into -1/4 99.799 * [taylor]: Taking taylor expansion of 0 in J 99.799 * [backup-simplify]: Simplify 0 into 0 99.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 99.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 99.802 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 99.802 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 99.802 * [taylor]: Taking taylor expansion of 1/4 in J 99.802 * [backup-simplify]: Simplify 1/4 into 1/4 99.802 * [taylor]: Taking taylor expansion of J in J 99.802 * [backup-simplify]: Simplify 0 into 0 99.802 * [backup-simplify]: Simplify 1 into 1 99.802 * [backup-simplify]: Simplify 0 into 0 99.802 * [backup-simplify]: Simplify 0 into 0 99.803 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 99.803 * [backup-simplify]: Simplify -2 into -2 99.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.804 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.804 * [backup-simplify]: Simplify (+ 0) into 0 99.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 99.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 99.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.806 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 99.807 * [backup-simplify]: Simplify (- 0) into 0 99.807 * [backup-simplify]: Simplify (+ 0 0) into 0 99.807 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 99.807 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 99.808 * [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 99.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 99.809 * [backup-simplify]: Simplify (+ 0 0) into 0 99.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 99.811 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 99.812 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 99.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 99.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 99.815 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 99.816 * [backup-simplify]: Simplify (- 0) into 0 99.816 * [backup-simplify]: Simplify (+ 0 0) into 0 99.817 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 99.818 * [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 99.819 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 99.819 * [taylor]: Taking taylor expansion of 0 in K 99.819 * [backup-simplify]: Simplify 0 into 0 99.819 * [taylor]: Taking taylor expansion of 0 in J 99.819 * [backup-simplify]: Simplify 0 into 0 99.819 * [backup-simplify]: Simplify (+ 0) into 0 99.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 99.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 99.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 99.821 * [backup-simplify]: Simplify (- 0) into 0 99.821 * [taylor]: Taking taylor expansion of 0 in J 99.821 * [backup-simplify]: Simplify 0 into 0 99.821 * [taylor]: Taking taylor expansion of 0 in J 99.821 * [backup-simplify]: Simplify 0 into 0 99.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 99.824 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 99.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 99.826 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 99.826 * [taylor]: Taking taylor expansion of 0 in J 99.826 * [backup-simplify]: Simplify 0 into 0 99.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 99.827 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 99.828 * [backup-simplify]: Simplify (- 0) into 0 99.828 * [backup-simplify]: Simplify 0 into 0 99.828 * [backup-simplify]: Simplify 0 into 0 99.828 * [backup-simplify]: Simplify (* 1/4 0) into 0 99.828 * [backup-simplify]: Simplify 0 into 0 99.828 * [backup-simplify]: Simplify 0 into 0 99.828 * [backup-simplify]: Simplify 0 into 0 99.829 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 99.829 * [backup-simplify]: Simplify 0 into 0 99.830 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 99.831 * [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))) 99.831 * [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 99.831 * [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 99.831 * [taylor]: Taking taylor expansion of -2 in J 99.831 * [backup-simplify]: Simplify -2 into -2 99.831 * [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 99.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 99.831 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 99.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 99.831 * [taylor]: Taking taylor expansion of 1/4 in J 99.831 * [backup-simplify]: Simplify 1/4 into 1/4 99.831 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 99.831 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.832 * [taylor]: Taking taylor expansion of J in J 99.832 * [backup-simplify]: Simplify 0 into 0 99.832 * [backup-simplify]: Simplify 1 into 1 99.832 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 99.832 * [taylor]: Taking taylor expansion of (pow U 2) in J 99.832 * [taylor]: Taking taylor expansion of U in J 99.832 * [backup-simplify]: Simplify U into U 99.832 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 99.832 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 99.832 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 99.832 * [taylor]: Taking taylor expansion of 1/2 in J 99.832 * [backup-simplify]: Simplify 1/2 into 1/2 99.832 * [taylor]: Taking taylor expansion of K in J 99.832 * [backup-simplify]: Simplify K into K 99.832 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.832 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.832 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.832 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.832 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.833 * [backup-simplify]: Simplify (- 0) into 0 99.833 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.833 * [backup-simplify]: Simplify (* 1 1) into 1 99.833 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.834 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 99.834 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 99.834 * [taylor]: Taking taylor expansion of 1 in J 99.834 * [backup-simplify]: Simplify 1 into 1 99.834 * [backup-simplify]: Simplify (+ 0 1) into 1 99.835 * [backup-simplify]: Simplify (sqrt 1) into 1 99.835 * [backup-simplify]: Simplify (+ 0 0) into 0 99.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.836 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 99.836 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 99.836 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 99.836 * [taylor]: Taking taylor expansion of 1/2 in J 99.836 * [backup-simplify]: Simplify 1/2 into 1/2 99.836 * [taylor]: Taking taylor expansion of K in J 99.836 * [backup-simplify]: Simplify K into K 99.836 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.836 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.836 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.836 * [taylor]: Taking taylor expansion of J in J 99.836 * [backup-simplify]: Simplify 0 into 0 99.836 * [backup-simplify]: Simplify 1 into 1 99.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.836 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.837 * [backup-simplify]: Simplify (- 0) into 0 99.837 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.837 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.837 * [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 99.837 * [taylor]: Taking taylor expansion of -2 in K 99.837 * [backup-simplify]: Simplify -2 into -2 99.837 * [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 99.837 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 99.837 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 99.837 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 99.837 * [taylor]: Taking taylor expansion of 1/4 in K 99.837 * [backup-simplify]: Simplify 1/4 into 1/4 99.837 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 99.837 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.837 * [taylor]: Taking taylor expansion of J in K 99.837 * [backup-simplify]: Simplify J into J 99.837 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 99.837 * [taylor]: Taking taylor expansion of (pow U 2) in K 99.838 * [taylor]: Taking taylor expansion of U in K 99.838 * [backup-simplify]: Simplify U into U 99.838 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 99.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 99.838 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 99.838 * [taylor]: Taking taylor expansion of 1/2 in K 99.838 * [backup-simplify]: Simplify 1/2 into 1/2 99.838 * [taylor]: Taking taylor expansion of K in K 99.838 * [backup-simplify]: Simplify 0 into 0 99.838 * [backup-simplify]: Simplify 1 into 1 99.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 99.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.838 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.838 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.839 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.839 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 99.839 * [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))) 99.839 * [taylor]: Taking taylor expansion of 1 in K 99.839 * [backup-simplify]: Simplify 1 into 1 99.839 * [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)))) 99.840 * [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) 99.840 * [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)) 99.840 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.841 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.841 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 99.841 * [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 99.842 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 99.843 * [backup-simplify]: Simplify (+ 0 0) into 0 99.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 99.843 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 99.843 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 99.843 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 99.843 * [taylor]: Taking taylor expansion of 1/2 in K 99.843 * [backup-simplify]: Simplify 1/2 into 1/2 99.843 * [taylor]: Taking taylor expansion of K in K 99.843 * [backup-simplify]: Simplify 0 into 0 99.843 * [backup-simplify]: Simplify 1 into 1 99.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 99.844 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.844 * [taylor]: Taking taylor expansion of J in K 99.844 * [backup-simplify]: Simplify J into J 99.844 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 99.844 * [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 99.844 * [taylor]: Taking taylor expansion of -2 in U 99.844 * [backup-simplify]: Simplify -2 into -2 99.844 * [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 99.844 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 99.844 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 99.844 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 99.844 * [taylor]: Taking taylor expansion of 1/4 in U 99.844 * [backup-simplify]: Simplify 1/4 into 1/4 99.844 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 99.844 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.844 * [taylor]: Taking taylor expansion of J in U 99.844 * [backup-simplify]: Simplify J into J 99.844 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 99.844 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.844 * [taylor]: Taking taylor expansion of U in U 99.844 * [backup-simplify]: Simplify 0 into 0 99.844 * [backup-simplify]: Simplify 1 into 1 99.845 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 99.845 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 99.845 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 99.845 * [taylor]: Taking taylor expansion of 1/2 in U 99.845 * [backup-simplify]: Simplify 1/2 into 1/2 99.845 * [taylor]: Taking taylor expansion of K in U 99.845 * [backup-simplify]: Simplify K into K 99.845 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.845 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.845 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.845 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.845 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.846 * [backup-simplify]: Simplify (- 0) into 0 99.846 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.846 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.846 * [backup-simplify]: Simplify (* 1 1) into 1 99.846 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.846 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 99.847 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 99.847 * [taylor]: Taking taylor expansion of 1 in U 99.847 * [backup-simplify]: Simplify 1 into 1 99.847 * [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))) 99.847 * [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))) 99.847 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 99.847 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.848 * [backup-simplify]: Simplify (+ 0) into 0 99.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.850 * [backup-simplify]: Simplify (- 0) into 0 99.851 * [backup-simplify]: Simplify (+ 0 0) into 0 99.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 99.852 * [backup-simplify]: 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 99.853 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 99.853 * [backup-simplify]: Simplify (+ 0 0) into 0 99.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 99.854 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 99.854 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 99.854 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 99.854 * [taylor]: Taking taylor expansion of 1/2 in U 99.854 * [backup-simplify]: Simplify 1/2 into 1/2 99.854 * [taylor]: Taking taylor expansion of K in U 99.854 * [backup-simplify]: Simplify K into K 99.854 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.854 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.854 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.854 * [taylor]: Taking taylor expansion of J in U 99.854 * [backup-simplify]: Simplify J into J 99.854 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.854 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.855 * [backup-simplify]: Simplify (- 0) into 0 99.855 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.855 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 99.855 * [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 99.855 * [taylor]: Taking taylor expansion of -2 in U 99.855 * [backup-simplify]: Simplify -2 into -2 99.855 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 99.855 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 99.855 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 99.855 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 99.855 * [taylor]: Taking taylor expansion of 1/4 in U 99.855 * [backup-simplify]: Simplify 1/4 into 1/4 99.855 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 99.855 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.855 * [taylor]: Taking taylor expansion of J in U 99.855 * [backup-simplify]: Simplify J into J 99.855 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 99.855 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.855 * [taylor]: Taking taylor expansion of U in U 99.855 * [backup-simplify]: Simplify 0 into 0 99.855 * [backup-simplify]: Simplify 1 into 1 99.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 99.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 99.856 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 99.856 * [taylor]: Taking taylor expansion of 1/2 in U 99.856 * [backup-simplify]: Simplify 1/2 into 1/2 99.856 * [taylor]: Taking taylor expansion of K in U 99.856 * [backup-simplify]: Simplify K into K 99.856 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.856 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.856 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.856 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.856 * [backup-simplify]: Simplify (- 0) into 0 99.857 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.857 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.857 * [backup-simplify]: Simplify (* 1 1) into 1 99.857 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.857 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 99.857 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 99.857 * [taylor]: Taking taylor expansion of 1 in U 99.857 * [backup-simplify]: Simplify 1 into 1 99.858 * [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))) 99.858 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 99.858 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 99.858 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.859 * [backup-simplify]: Simplify (+ 0) into 0 99.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.861 * [backup-simplify]: Simplify (- 0) into 0 99.861 * [backup-simplify]: Simplify (+ 0 0) into 0 99.861 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 99.863 * [backup-simplify]: 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 99.863 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 99.864 * [backup-simplify]: Simplify (+ 0 0) into 0 99.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 99.864 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 99.864 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 99.864 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 99.864 * [taylor]: Taking taylor expansion of 1/2 in U 99.864 * [backup-simplify]: Simplify 1/2 into 1/2 99.864 * [taylor]: Taking taylor expansion of K in U 99.864 * [backup-simplify]: Simplify K into K 99.864 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.864 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.864 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.864 * [taylor]: Taking taylor expansion of J in U 99.864 * [backup-simplify]: Simplify J into J 99.864 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.864 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.865 * [backup-simplify]: Simplify (- 0) into 0 99.865 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.865 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 99.865 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 99.866 * [backup-simplify]: Simplify (* -2 1/2) into -1 99.866 * [taylor]: Taking taylor expansion of -1 in K 99.866 * [backup-simplify]: Simplify -1 into -1 99.866 * [taylor]: Taking taylor expansion of -1 in J 99.866 * [backup-simplify]: Simplify -1 into -1 99.866 * [backup-simplify]: Simplify (+ 0) into 0 99.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.868 * [backup-simplify]: Simplify (- 0) into 0 99.868 * [backup-simplify]: Simplify (+ 0 0) into 0 99.869 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 99.869 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 99.869 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 99.869 * [taylor]: Taking taylor expansion of 0 in K 99.869 * [backup-simplify]: Simplify 0 into 0 99.869 * [taylor]: Taking taylor expansion of 0 in J 99.869 * [backup-simplify]: Simplify 0 into 0 99.870 * [taylor]: Taking taylor expansion of 0 in J 99.870 * [backup-simplify]: Simplify 0 into 0 99.870 * [backup-simplify]: Simplify -1 into -1 99.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.873 * [backup-simplify]: Simplify (- 0) into 0 99.873 * [backup-simplify]: Simplify (+ 0 0) into 0 99.873 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 99.874 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 99.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.875 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.876 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.879 * [backup-simplify]: Simplify (- 0) into 0 99.879 * [backup-simplify]: Simplify (+ 0 0) into 0 99.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 99.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 99.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 99.882 * [backup-simplify]: 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 99.883 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 99.883 * [backup-simplify]: Simplify (+ 0 1) into 1 99.884 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 99.885 * [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)) 99.885 * [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)))) 99.885 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 99.885 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 99.885 * [taylor]: Taking taylor expansion of 2 in K 99.886 * [backup-simplify]: Simplify 2 into 2 99.886 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 99.886 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 99.886 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 99.886 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 99.886 * [taylor]: Taking taylor expansion of 1/2 in K 99.886 * [backup-simplify]: Simplify 1/2 into 1/2 99.886 * [taylor]: Taking taylor expansion of K in K 99.886 * [backup-simplify]: Simplify 0 into 0 99.886 * [backup-simplify]: Simplify 1 into 1 99.886 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 99.886 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.886 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.886 * [taylor]: Taking taylor expansion of J in K 99.886 * [backup-simplify]: Simplify J into J 99.886 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.886 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.887 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 99.887 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 99.887 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 99.887 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 99.887 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 99.887 * [taylor]: Taking taylor expansion of 2 in J 99.887 * [backup-simplify]: Simplify 2 into 2 99.887 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 99.887 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 99.887 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 99.887 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 99.887 * [taylor]: Taking taylor expansion of 1/2 in J 99.887 * [backup-simplify]: Simplify 1/2 into 1/2 99.887 * [taylor]: Taking taylor expansion of K in J 99.887 * [backup-simplify]: Simplify K into K 99.887 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 99.887 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 99.887 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 99.887 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 99.887 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 99.888 * [backup-simplify]: Simplify (- 0) into 0 99.888 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 99.888 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.888 * [taylor]: Taking taylor expansion of J in J 99.888 * [backup-simplify]: Simplify 0 into 0 99.888 * [backup-simplify]: Simplify 1 into 1 99.888 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 99.888 * [backup-simplify]: Simplify (* 1 1) into 1 99.888 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 99.889 * [backup-simplify]: Simplify (+ 0) into 0 99.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 99.889 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 99.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 99.890 * [backup-simplify]: Simplify (- 0) into 0 99.890 * [backup-simplify]: Simplify (+ 0 0) into 0 99.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 99.892 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 99.892 * [backup-simplify]: Simplify (- 0) into 0 99.892 * [backup-simplify]: Simplify 0 into 0 99.892 * [taylor]: Taking taylor expansion of 0 in J 99.892 * [backup-simplify]: Simplify 0 into 0 99.892 * [taylor]: Taking taylor expansion of 0 in J 99.892 * [backup-simplify]: Simplify 0 into 0 99.892 * [backup-simplify]: Simplify 0 into 0 99.892 * [backup-simplify]: Simplify 0 into 0 99.892 * [backup-simplify]: Simplify 0 into 0 99.893 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 99.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 99.893 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 99.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 99.895 * [backup-simplify]: Simplify (- 0) into 0 99.895 * [backup-simplify]: Simplify (+ 0 0) into 0 99.895 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 99.896 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 99.896 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 99.897 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 99.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 99.898 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 99.898 * [backup-simplify]: Simplify (- 0) into 0 99.898 * [backup-simplify]: Simplify (+ 0 0) into 0 99.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 99.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 99.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 99.901 * [backup-simplify]: 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 99.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 99.902 * [backup-simplify]: Simplify (+ 0 0) into 0 99.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 99.903 * [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 99.903 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 99.903 * [taylor]: Taking taylor expansion of 0 in K 99.903 * [backup-simplify]: Simplify 0 into 0 99.904 * [taylor]: Taking taylor expansion of 0 in J 99.904 * [backup-simplify]: Simplify 0 into 0 99.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 99.904 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.904 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 99.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 99.905 * [backup-simplify]: Simplify (- 0) into 0 99.905 * [taylor]: Taking taylor expansion of 0 in J 99.905 * [backup-simplify]: Simplify 0 into 0 99.905 * [taylor]: Taking taylor expansion of 0 in J 99.905 * [backup-simplify]: Simplify 0 into 0 99.905 * [taylor]: Taking taylor expansion of 0 in J 99.905 * [backup-simplify]: Simplify 0 into 0 99.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.906 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.907 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.907 * [backup-simplify]: Simplify (- 0) into 0 99.907 * [backup-simplify]: Simplify (+ 0 0) into 0 99.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 99.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 99.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 99.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 99.910 * [backup-simplify]: Simplify (- 0) into 0 99.910 * [backup-simplify]: Simplify 0 into 0 99.910 * [backup-simplify]: Simplify 0 into 0 99.910 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 99.911 * [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)))))))) 99.911 * [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 99.911 * [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 99.911 * [taylor]: Taking taylor expansion of -2 in J 99.911 * [backup-simplify]: Simplify -2 into -2 99.911 * [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 99.911 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in J 99.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in J 99.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 99.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 99.911 * [taylor]: Taking taylor expansion of -1/2 in J 99.911 * [backup-simplify]: Simplify -1/2 into -1/2 99.911 * [taylor]: Taking taylor expansion of K in J 99.911 * [backup-simplify]: Simplify K into K 99.911 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.911 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.911 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.911 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in J 99.911 * [taylor]: Taking taylor expansion of (cbrt -1) in J 99.911 * [taylor]: Taking taylor expansion of -1 in J 99.911 * [backup-simplify]: Simplify -1 into -1 99.912 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 99.912 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 99.912 * [taylor]: Taking taylor expansion of J in J 99.912 * [backup-simplify]: Simplify 0 into 0 99.912 * [backup-simplify]: Simplify 1 into 1 99.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.913 * [backup-simplify]: Simplify (- 0) into 0 99.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.914 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 99.915 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 99.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 99.916 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 99.916 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 99.916 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 99.916 * [taylor]: Taking taylor expansion of 1 in J 99.916 * [backup-simplify]: Simplify 1 into 1 99.916 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 99.916 * [taylor]: Taking taylor expansion of 1/4 in J 99.916 * [backup-simplify]: Simplify 1/4 into 1/4 99.916 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 99.916 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.916 * [taylor]: Taking taylor expansion of J in J 99.916 * [backup-simplify]: Simplify 0 into 0 99.916 * [backup-simplify]: Simplify 1 into 1 99.916 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 99.916 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 99.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 99.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 99.916 * [taylor]: Taking taylor expansion of -1/2 in J 99.916 * [backup-simplify]: Simplify -1/2 into -1/2 99.916 * [taylor]: Taking taylor expansion of K in J 99.916 * [backup-simplify]: Simplify K into K 99.916 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.916 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.916 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.916 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.916 * [backup-simplify]: Simplify (- 0) into 0 99.917 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.917 * [taylor]: Taking taylor expansion of (pow U 2) in J 99.917 * [taylor]: Taking taylor expansion of U in J 99.917 * [backup-simplify]: Simplify U into U 99.917 * [backup-simplify]: Simplify (* 1 1) into 1 99.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.917 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.917 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 99.917 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 99.917 * [backup-simplify]: Simplify (+ 1 0) into 1 99.918 * [backup-simplify]: Simplify (sqrt 1) into 1 99.918 * [backup-simplify]: Simplify (+ 0 0) into 0 99.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 99.918 * [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 99.918 * [taylor]: Taking taylor expansion of -2 in K 99.918 * [backup-simplify]: Simplify -2 into -2 99.918 * [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 99.918 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in K 99.918 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in K 99.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 99.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 99.918 * [taylor]: Taking taylor expansion of -1/2 in K 99.918 * [backup-simplify]: Simplify -1/2 into -1/2 99.919 * [taylor]: Taking taylor expansion of K in K 99.919 * [backup-simplify]: Simplify 0 into 0 99.919 * [backup-simplify]: Simplify 1 into 1 99.919 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 99.919 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.919 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in K 99.919 * [taylor]: Taking taylor expansion of (cbrt -1) in K 99.919 * [taylor]: Taking taylor expansion of -1 in K 99.919 * [backup-simplify]: Simplify -1 into -1 99.919 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 99.920 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 99.920 * [taylor]: Taking taylor expansion of J in K 99.920 * [backup-simplify]: Simplify J into J 99.921 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 99.924 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 99.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 99.925 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 99.925 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 99.925 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 99.925 * [taylor]: Taking taylor expansion of 1 in K 99.925 * [backup-simplify]: Simplify 1 into 1 99.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 99.925 * [taylor]: Taking taylor expansion of 1/4 in K 99.925 * [backup-simplify]: Simplify 1/4 into 1/4 99.925 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 99.925 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.925 * [taylor]: Taking taylor expansion of J in K 99.925 * [backup-simplify]: Simplify J into J 99.925 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 99.925 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 99.925 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 99.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 99.926 * [taylor]: Taking taylor expansion of -1/2 in K 99.926 * [backup-simplify]: Simplify -1/2 into -1/2 99.926 * [taylor]: Taking taylor expansion of K in K 99.926 * [backup-simplify]: Simplify 0 into 0 99.926 * [backup-simplify]: Simplify 1 into 1 99.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 99.926 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.926 * [taylor]: Taking taylor expansion of (pow U 2) in K 99.926 * [taylor]: Taking taylor expansion of U in K 99.926 * [backup-simplify]: Simplify U into U 99.926 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.927 * [backup-simplify]: Simplify (* U U) into (pow U 2) 99.927 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 99.927 * [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))) 99.927 * [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)))) 99.928 * [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))))) 99.928 * [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)))))) 99.928 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.928 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 99.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 99.929 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 99.929 * [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 99.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 99.931 * [backup-simplify]: Simplify (+ 0 0) into 0 99.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 99.931 * [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 99.931 * [taylor]: Taking taylor expansion of -2 in U 99.931 * [backup-simplify]: Simplify -2 into -2 99.931 * [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 99.932 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 99.932 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 99.932 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 99.932 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 99.932 * [taylor]: Taking taylor expansion of -1/2 in U 99.932 * [backup-simplify]: Simplify -1/2 into -1/2 99.932 * [taylor]: Taking taylor expansion of K in U 99.932 * [backup-simplify]: Simplify K into K 99.932 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.932 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.932 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 99.932 * [taylor]: Taking taylor expansion of (cbrt -1) in U 99.932 * [taylor]: Taking taylor expansion of -1 in U 99.932 * [backup-simplify]: Simplify -1 into -1 99.933 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 99.933 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 99.933 * [taylor]: Taking taylor expansion of J in U 99.933 * [backup-simplify]: Simplify J into J 99.934 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.934 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.934 * [backup-simplify]: Simplify (- 0) into 0 99.934 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.935 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 99.937 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 99.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 99.939 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 99.939 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 99.939 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 99.939 * [taylor]: Taking taylor expansion of 1 in U 99.939 * [backup-simplify]: Simplify 1 into 1 99.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 99.939 * [taylor]: Taking taylor expansion of 1/4 in U 99.939 * [backup-simplify]: Simplify 1/4 into 1/4 99.939 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 99.939 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.939 * [taylor]: Taking taylor expansion of J in U 99.939 * [backup-simplify]: Simplify J into J 99.939 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 99.939 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 99.939 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 99.939 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 99.939 * [taylor]: Taking taylor expansion of -1/2 in U 99.939 * [backup-simplify]: Simplify -1/2 into -1/2 99.939 * [taylor]: Taking taylor expansion of K in U 99.939 * [backup-simplify]: Simplify K into K 99.939 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.939 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.939 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.939 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.940 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.940 * [backup-simplify]: Simplify (- 0) into 0 99.940 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.940 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.940 * [taylor]: Taking taylor expansion of U in U 99.940 * [backup-simplify]: Simplify 0 into 0 99.940 * [backup-simplify]: Simplify 1 into 1 99.940 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.940 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.941 * [backup-simplify]: Simplify (* 1 1) into 1 99.941 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 99.941 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 99.941 * [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))) 99.942 * [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))) 99.942 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 99.942 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.943 * [backup-simplify]: Simplify (+ 0) into 0 99.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.946 * [backup-simplify]: Simplify (- 0) into 0 99.946 * [backup-simplify]: Simplify (+ 0 0) into 0 99.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 99.947 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 99.947 * [backup-simplify]: 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 99.948 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 99.948 * [backup-simplify]: Simplify (+ 0 0) into 0 99.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 99.948 * [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 99.949 * [taylor]: Taking taylor expansion of -2 in U 99.949 * [backup-simplify]: Simplify -2 into -2 99.949 * [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 99.949 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 99.949 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 99.949 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 99.949 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 99.949 * [taylor]: Taking taylor expansion of -1/2 in U 99.949 * [backup-simplify]: Simplify -1/2 into -1/2 99.949 * [taylor]: Taking taylor expansion of K in U 99.949 * [backup-simplify]: Simplify K into K 99.949 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.949 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.949 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.949 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 99.949 * [taylor]: Taking taylor expansion of (cbrt -1) in U 99.949 * [taylor]: Taking taylor expansion of -1 in U 99.949 * [backup-simplify]: Simplify -1 into -1 99.950 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 99.950 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 99.950 * [taylor]: Taking taylor expansion of J in U 99.950 * [backup-simplify]: Simplify J into J 99.951 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.951 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.951 * [backup-simplify]: Simplify (- 0) into 0 99.951 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.952 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 99.955 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 99.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 99.956 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 99.956 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 99.956 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 99.956 * [taylor]: Taking taylor expansion of 1 in U 99.956 * [backup-simplify]: Simplify 1 into 1 99.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 99.956 * [taylor]: Taking taylor expansion of 1/4 in U 99.956 * [backup-simplify]: Simplify 1/4 into 1/4 99.956 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 99.956 * [taylor]: Taking taylor expansion of (pow J 2) in U 99.956 * [taylor]: Taking taylor expansion of J in U 99.956 * [backup-simplify]: Simplify J into J 99.956 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 99.956 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 99.956 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 99.956 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 99.956 * [taylor]: Taking taylor expansion of -1/2 in U 99.956 * [backup-simplify]: Simplify -1/2 into -1/2 99.956 * [taylor]: Taking taylor expansion of K in U 99.956 * [backup-simplify]: Simplify K into K 99.956 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.956 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.957 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.957 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.957 * [backup-simplify]: Simplify (- 0) into 0 99.957 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.957 * [taylor]: Taking taylor expansion of (pow U 2) in U 99.957 * [taylor]: Taking taylor expansion of U in U 99.958 * [backup-simplify]: Simplify 0 into 0 99.958 * [backup-simplify]: Simplify 1 into 1 99.958 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.958 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.958 * [backup-simplify]: Simplify (* 1 1) into 1 99.958 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 99.959 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 99.959 * [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))) 99.959 * [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))) 99.959 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 99.959 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 99.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.961 * [backup-simplify]: Simplify (+ 0) into 0 99.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.963 * [backup-simplify]: Simplify (- 0) into 0 99.963 * [backup-simplify]: Simplify (+ 0 0) into 0 99.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 99.964 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 99.964 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 99.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 99.965 * [backup-simplify]: Simplify (+ 0 0) into 0 99.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 99.966 * [backup-simplify]: Simplify (* (* -1 (/ (cos (/ -1/2 K)) J)) (* 1/2 (/ J (cos (/ -1/2 K))))) into -1/2 99.966 * [backup-simplify]: Simplify (* -2 -1/2) into 1 99.966 * [taylor]: Taking taylor expansion of 1 in K 99.966 * [backup-simplify]: Simplify 1 into 1 99.966 * [taylor]: Taking taylor expansion of 1 in J 99.966 * [backup-simplify]: Simplify 1 into 1 99.967 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 99.968 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 99.968 * [backup-simplify]: Simplify (+ 0) into 0 99.969 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.969 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.970 * [backup-simplify]: Simplify (- 0) into 0 99.971 * [backup-simplify]: Simplify (+ 0 0) into 0 99.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cbrt -1) 3))) into 0 99.972 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)))) into 0 99.972 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 99.973 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 -1/2)) into 0 99.973 * [taylor]: Taking taylor expansion of 0 in K 99.973 * [backup-simplify]: Simplify 0 into 0 99.973 * [taylor]: Taking taylor expansion of 0 in J 99.973 * [backup-simplify]: Simplify 0 into 0 99.973 * [taylor]: Taking taylor expansion of 0 in J 99.973 * [backup-simplify]: Simplify 0 into 0 99.973 * [backup-simplify]: Simplify 1 into 1 99.973 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 99.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 99.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.977 * [backup-simplify]: Simplify (- 0) into 0 99.978 * [backup-simplify]: Simplify (+ 0 0) into 0 99.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 99.979 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 99.979 * [backup-simplify]: 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 99.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 99.980 * [backup-simplify]: Simplify (+ 1 0) into 1 99.981 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 99.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 99.982 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 99.983 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 99.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 99.984 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 99.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 99.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 99.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 99.986 * [backup-simplify]: Simplify (- 0) into 0 99.986 * [backup-simplify]: Simplify (+ 0 0) into 0 99.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3)))) into 0 99.987 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 99.987 * [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))) 99.988 * [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))) 99.988 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 99.988 * [taylor]: Taking taylor expansion of 2 in K 99.988 * [backup-simplify]: Simplify 2 into 2 99.988 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 99.988 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 99.988 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 99.988 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 99.988 * [taylor]: Taking taylor expansion of -1/2 in K 99.988 * [backup-simplify]: Simplify -1/2 into -1/2 99.988 * [taylor]: Taking taylor expansion of K in K 99.988 * [backup-simplify]: Simplify 0 into 0 99.988 * [backup-simplify]: Simplify 1 into 1 99.988 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 99.988 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.988 * [taylor]: Taking taylor expansion of (pow J 2) in K 99.988 * [taylor]: Taking taylor expansion of J in K 99.988 * [backup-simplify]: Simplify J into J 99.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.989 * [backup-simplify]: Simplify (* J J) into (pow J 2) 99.989 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 99.989 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 99.989 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 99.989 * [taylor]: Taking taylor expansion of 2 in J 99.989 * [backup-simplify]: Simplify 2 into 2 99.989 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 99.989 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 99.989 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 99.989 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 99.989 * [taylor]: Taking taylor expansion of -1/2 in J 99.989 * [backup-simplify]: Simplify -1/2 into -1/2 99.989 * [taylor]: Taking taylor expansion of K in J 99.989 * [backup-simplify]: Simplify K into K 99.989 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 99.989 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 99.989 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 99.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 99.989 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 99.989 * [backup-simplify]: Simplify (- 0) into 0 99.989 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 99.990 * [taylor]: Taking taylor expansion of (pow J 2) in J 99.990 * [taylor]: Taking taylor expansion of J in J 99.990 * [backup-simplify]: Simplify 0 into 0 99.990 * [backup-simplify]: Simplify 1 into 1 99.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 99.990 * [backup-simplify]: Simplify (* 1 1) into 1 99.990 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 99.990 * [backup-simplify]: Simplify (+ 0) into 0 99.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 99.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 99.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 99.991 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 99.992 * [backup-simplify]: Simplify (- 0) into 0 99.992 * [backup-simplify]: Simplify (+ 0 0) into 0 99.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 99.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 99.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 99.993 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 99.993 * [backup-simplify]: Simplify 0 into 0 99.994 * [taylor]: Taking taylor expansion of 0 in J 99.994 * [backup-simplify]: Simplify 0 into 0 99.994 * [taylor]: Taking taylor expansion of 0 in J 99.994 * [backup-simplify]: Simplify 0 into 0 99.994 * [backup-simplify]: Simplify 0 into 0 99.994 * [backup-simplify]: Simplify 0 into 0 99.994 * [backup-simplify]: Simplify 0 into 0 99.994 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 99.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 99.999 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 100.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 100.001 * [backup-simplify]: Simplify (- 0) into 0 100.002 * [backup-simplify]: Simplify (+ 0 0) into 0 100.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 100.003 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.003 * [backup-simplify]: 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 0 100.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 100.004 * [backup-simplify]: Simplify (+ 0 0) into 0 100.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 100.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 100.006 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 100.007 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 100.007 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 100.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 100.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 100.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 100.011 * [backup-simplify]: Simplify (- 0) into 0 100.011 * [backup-simplify]: Simplify (+ 0 0) into 0 100.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3))))) into 0 100.013 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 100.014 * [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 0 100.015 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 -1/2)))) into 0 100.015 * [taylor]: Taking taylor expansion of 0 in K 100.015 * [backup-simplify]: Simplify 0 into 0 100.015 * [taylor]: Taking taylor expansion of 0 in J 100.015 * [backup-simplify]: Simplify 0 into 0 100.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 100.016 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 100.016 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 100.017 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 100.017 * [taylor]: Taking taylor expansion of 0 in J 100.017 * [backup-simplify]: Simplify 0 into 0 100.017 * [taylor]: Taking taylor expansion of 0 in J 100.017 * [backup-simplify]: Simplify 0 into 0 100.017 * [taylor]: Taking taylor expansion of 0 in J 100.017 * [backup-simplify]: Simplify 0 into 0 100.018 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 100.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 100.019 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 100.020 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 100.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 100.021 * [backup-simplify]: Simplify (- 0) into 0 100.021 * [backup-simplify]: Simplify (+ 0 0) into 0 100.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 100.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 100.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 100.024 * [backup-simplify]: Simplify 0 into 0 100.024 * [backup-simplify]: Simplify 0 into 0 100.024 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 100.024 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 100.024 * [backup-simplify]: Simplify (cbrt J) into (pow J 1/3) 100.024 * [approximate]: Taking taylor expansion of (pow J 1/3) in (J) around 0 100.024 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 100.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 100.024 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 100.024 * [taylor]: Taking taylor expansion of 1/3 in J 100.024 * [backup-simplify]: Simplify 1/3 into 1/3 100.024 * [taylor]: Taking taylor expansion of (log J) in J 100.024 * [taylor]: Taking taylor expansion of J in J 100.024 * [backup-simplify]: Simplify 0 into 0 100.025 * [backup-simplify]: Simplify 1 into 1 100.025 * [backup-simplify]: Simplify (log 1) into 0 100.025 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.025 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 100.025 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 100.025 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 100.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 100.025 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 100.025 * [taylor]: Taking taylor expansion of 1/3 in J 100.025 * [backup-simplify]: Simplify 1/3 into 1/3 100.025 * [taylor]: Taking taylor expansion of (log J) in J 100.025 * [taylor]: Taking taylor expansion of J in J 100.025 * [backup-simplify]: Simplify 0 into 0 100.025 * [backup-simplify]: Simplify 1 into 1 100.026 * [backup-simplify]: Simplify (log 1) into 0 100.026 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.026 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 100.026 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 100.026 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 100.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 100.027 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 100.028 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 100.028 * [backup-simplify]: Simplify 0 into 0 100.029 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 100.030 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 100.031 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.031 * [backup-simplify]: Simplify 0 into 0 100.034 * [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 0 100.034 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 100.036 * [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 0 100.036 * [backup-simplify]: Simplify 0 into 0 100.041 * [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 0 100.042 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))) into 0 100.044 * [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 0 100.044 * [backup-simplify]: Simplify 0 into 0 100.056 * [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 0 100.057 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.059 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))))) into 0 100.063 * [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 0 100.063 * [backup-simplify]: Simplify 0 into 0 100.091 * [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 0 100.092 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))))) into 0 100.096 * [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 0 100.096 * [backup-simplify]: Simplify 0 into 0 100.096 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 100.096 * [backup-simplify]: Simplify (cbrt (/ 1 J)) into (pow (/ 1 J) 1/3) 100.096 * [approximate]: Taking taylor expansion of (pow (/ 1 J) 1/3) in (J) around 0 100.096 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.096 * [taylor]: Taking taylor expansion of 1/3 in J 100.096 * [backup-simplify]: Simplify 1/3 into 1/3 100.096 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.096 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.096 * [taylor]: Taking taylor expansion of J in J 100.096 * [backup-simplify]: Simplify 0 into 0 100.096 * [backup-simplify]: Simplify 1 into 1 100.097 * [backup-simplify]: Simplify (/ 1 1) into 1 100.097 * [backup-simplify]: Simplify (log 1) into 0 100.097 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.097 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.097 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.097 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.097 * [taylor]: Taking taylor expansion of 1/3 in J 100.097 * [backup-simplify]: Simplify 1/3 into 1/3 100.097 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.097 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.097 * [taylor]: Taking taylor expansion of J in J 100.098 * [backup-simplify]: Simplify 0 into 0 100.098 * [backup-simplify]: Simplify 1 into 1 100.098 * [backup-simplify]: Simplify (/ 1 1) into 1 100.098 * [backup-simplify]: Simplify (log 1) into 0 100.098 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.098 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.098 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.098 * [backup-simplify]: Simplify (pow J -1/3) into (pow J -1/3) 100.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 100.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 100.100 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 100.101 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 100.101 * [backup-simplify]: Simplify 0 into 0 100.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 100.103 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 100.104 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.104 * [backup-simplify]: Simplify 0 into 0 100.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.109 * [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 0 100.110 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 100.112 * [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 0 100.112 * [backup-simplify]: Simplify 0 into 0 100.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.118 * [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 0 100.118 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 100.121 * [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 0 100.121 * [backup-simplify]: Simplify 0 into 0 100.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.130 * [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 0 100.131 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.132 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 100.134 * [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 0 100.134 * [backup-simplify]: Simplify 0 into 0 100.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.151 * [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 0 100.152 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.153 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 100.158 * [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 0 100.158 * [backup-simplify]: Simplify 0 into 0 100.158 * [backup-simplify]: Simplify (pow (/ 1 J) -1/3) into (pow (/ 1 J) -1/3) 100.158 * [backup-simplify]: Simplify (cbrt (/ 1 (- J))) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 100.158 * [approximate]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in (J) around 0 100.158 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 100.159 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.159 * [taylor]: Taking taylor expansion of 1/3 in J 100.159 * [backup-simplify]: Simplify 1/3 into 1/3 100.159 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.159 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.159 * [taylor]: Taking taylor expansion of J in J 100.159 * [backup-simplify]: Simplify 0 into 0 100.159 * [backup-simplify]: Simplify 1 into 1 100.159 * [backup-simplify]: Simplify (/ 1 1) into 1 100.160 * [backup-simplify]: Simplify (log 1) into 0 100.160 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.160 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.160 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.160 * [taylor]: Taking taylor expansion of (cbrt -1) in J 100.160 * [taylor]: Taking taylor expansion of -1 in J 100.160 * [backup-simplify]: Simplify -1 into -1 100.161 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 100.161 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 100.162 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 100.162 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.162 * [taylor]: Taking taylor expansion of 1/3 in J 100.162 * [backup-simplify]: Simplify 1/3 into 1/3 100.162 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.162 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.162 * [taylor]: Taking taylor expansion of J in J 100.162 * [backup-simplify]: Simplify 0 into 0 100.162 * [backup-simplify]: Simplify 1 into 1 100.162 * [backup-simplify]: Simplify (/ 1 1) into 1 100.163 * [backup-simplify]: Simplify (log 1) into 0 100.163 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.163 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.163 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.163 * [taylor]: Taking taylor expansion of (cbrt -1) in J 100.163 * [taylor]: Taking taylor expansion of -1 in J 100.163 * [backup-simplify]: Simplify -1 into -1 100.164 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 100.164 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 100.165 * [backup-simplify]: Simplify (* (pow J -1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 100.165 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 100.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 100.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 100.168 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 100.169 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 100.170 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cbrt -1))) into 0 100.170 * [backup-simplify]: Simplify 0 into 0 100.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 100.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.176 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 100.176 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 100.179 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.179 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 100.179 * [backup-simplify]: Simplify 0 into 0 100.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 100.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.183 * [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 0 100.184 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.185 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 100.186 * [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 0 100.187 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 100.187 * [backup-simplify]: Simplify 0 into 0 100.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 100.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.194 * [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 0 100.195 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.196 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 100.197 * [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 0 100.199 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 100.199 * [backup-simplify]: Simplify 0 into 0 100.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 100.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.210 * [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 0 100.210 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.211 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 100.215 * [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 0 100.217 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 100.217 * [backup-simplify]: Simplify 0 into 0 100.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 100.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.248 * [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 0 100.248 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.250 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 100.253 * [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 0 100.254 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 100.254 * [backup-simplify]: Simplify 0 into 0 100.255 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- J))) 1/3) (cbrt -1)) into (* (pow (* J -1) 1/3) (cbrt -1)) 100.255 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 100.255 * [backup-simplify]: Simplify (cbrt J) into (pow J 1/3) 100.255 * [approximate]: Taking taylor expansion of (pow J 1/3) in (J) around 0 100.255 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 100.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 100.255 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 100.255 * [taylor]: Taking taylor expansion of 1/3 in J 100.255 * [backup-simplify]: Simplify 1/3 into 1/3 100.255 * [taylor]: Taking taylor expansion of (log J) in J 100.255 * [taylor]: Taking taylor expansion of J in J 100.255 * [backup-simplify]: Simplify 0 into 0 100.255 * [backup-simplify]: Simplify 1 into 1 100.255 * [backup-simplify]: Simplify (log 1) into 0 100.255 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.255 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 100.255 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 100.255 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 100.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 100.255 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 100.255 * [taylor]: Taking taylor expansion of 1/3 in J 100.256 * [backup-simplify]: Simplify 1/3 into 1/3 100.256 * [taylor]: Taking taylor expansion of (log J) in J 100.256 * [taylor]: Taking taylor expansion of J in J 100.256 * [backup-simplify]: Simplify 0 into 0 100.256 * [backup-simplify]: Simplify 1 into 1 100.256 * [backup-simplify]: Simplify (log 1) into 0 100.256 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.256 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 100.256 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 100.256 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 100.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 100.257 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 100.258 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 100.258 * [backup-simplify]: Simplify 0 into 0 100.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 100.260 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 100.261 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.261 * [backup-simplify]: Simplify 0 into 0 100.264 * [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 0 100.264 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 100.266 * [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 0 100.266 * [backup-simplify]: Simplify 0 into 0 100.272 * [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 0 100.273 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))) into 0 100.277 * [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 0 100.278 * [backup-simplify]: Simplify 0 into 0 100.296 * [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 0 100.296 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))))) into 0 100.302 * [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 0 100.303 * [backup-simplify]: Simplify 0 into 0 100.329 * [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 0 100.329 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 100.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))))) into 0 100.333 * [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 0 100.333 * [backup-simplify]: Simplify 0 into 0 100.334 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 100.334 * [backup-simplify]: Simplify (cbrt (/ 1 J)) into (pow (/ 1 J) 1/3) 100.334 * [approximate]: Taking taylor expansion of (pow (/ 1 J) 1/3) in (J) around 0 100.334 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.334 * [taylor]: Taking taylor expansion of 1/3 in J 100.334 * [backup-simplify]: Simplify 1/3 into 1/3 100.334 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.334 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.334 * [taylor]: Taking taylor expansion of J in J 100.334 * [backup-simplify]: Simplify 0 into 0 100.334 * [backup-simplify]: Simplify 1 into 1 100.334 * [backup-simplify]: Simplify (/ 1 1) into 1 100.334 * [backup-simplify]: Simplify (log 1) into 0 100.335 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.335 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.335 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.335 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.335 * [taylor]: Taking taylor expansion of 1/3 in J 100.335 * [backup-simplify]: Simplify 1/3 into 1/3 100.335 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.335 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.335 * [taylor]: Taking taylor expansion of J in J 100.335 * [backup-simplify]: Simplify 0 into 0 100.335 * [backup-simplify]: Simplify 1 into 1 100.335 * [backup-simplify]: Simplify (/ 1 1) into 1 100.335 * [backup-simplify]: Simplify (log 1) into 0 100.336 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.336 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.336 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.336 * [backup-simplify]: Simplify (pow J -1/3) into (pow J -1/3) 100.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 100.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 100.338 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 100.338 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 100.338 * [backup-simplify]: Simplify 0 into 0 100.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 100.341 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 100.342 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.342 * [backup-simplify]: Simplify 0 into 0 100.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.345 * [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 0 100.346 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.346 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 100.347 * [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 0 100.347 * [backup-simplify]: Simplify 0 into 0 100.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.356 * [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 0 100.357 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 100.361 * [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 0 100.361 * [backup-simplify]: Simplify 0 into 0 100.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.377 * [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 0 100.378 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 100.384 * [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 0 100.384 * [backup-simplify]: Simplify 0 into 0 100.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.410 * [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 0 100.411 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 100.415 * [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 0 100.415 * [backup-simplify]: Simplify 0 into 0 100.415 * [backup-simplify]: Simplify (pow (/ 1 J) -1/3) into (pow (/ 1 J) -1/3) 100.415 * [backup-simplify]: Simplify (cbrt (/ 1 (- J))) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 100.416 * [approximate]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in (J) around 0 100.416 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 100.416 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.416 * [taylor]: Taking taylor expansion of 1/3 in J 100.416 * [backup-simplify]: Simplify 1/3 into 1/3 100.416 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.416 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.416 * [taylor]: Taking taylor expansion of J in J 100.416 * [backup-simplify]: Simplify 0 into 0 100.416 * [backup-simplify]: Simplify 1 into 1 100.416 * [backup-simplify]: Simplify (/ 1 1) into 1 100.416 * [backup-simplify]: Simplify (log 1) into 0 100.416 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.417 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.417 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.417 * [taylor]: Taking taylor expansion of (cbrt -1) in J 100.417 * [taylor]: Taking taylor expansion of -1 in J 100.417 * [backup-simplify]: Simplify -1 into -1 100.417 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 100.417 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 100.417 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 100.417 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 100.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 100.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 100.417 * [taylor]: Taking taylor expansion of 1/3 in J 100.417 * [backup-simplify]: Simplify 1/3 into 1/3 100.417 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 100.417 * [taylor]: Taking taylor expansion of (/ 1 J) in J 100.417 * [taylor]: Taking taylor expansion of J in J 100.418 * [backup-simplify]: Simplify 0 into 0 100.418 * [backup-simplify]: Simplify 1 into 1 100.418 * [backup-simplify]: Simplify (/ 1 1) into 1 100.418 * [backup-simplify]: Simplify (log 1) into 0 100.418 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.418 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 100.418 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 100.418 * [taylor]: Taking taylor expansion of (cbrt -1) in J 100.418 * [taylor]: Taking taylor expansion of -1 in J 100.418 * [backup-simplify]: Simplify -1 into -1 100.419 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 100.419 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 100.420 * [backup-simplify]: Simplify (* (pow J -1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 100.420 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 100.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 100.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 100.426 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 100.427 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 100.427 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cbrt -1))) into 0 100.427 * [backup-simplify]: Simplify 0 into 0 100.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 100.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 100.431 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 100.433 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.434 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 100.434 * [backup-simplify]: Simplify 0 into 0 100.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 100.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.441 * [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 0 100.442 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 100.445 * [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 0 100.446 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 100.446 * [backup-simplify]: Simplify 0 into 0 100.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 100.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.460 * [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 0 100.461 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 100.465 * [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 0 100.466 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 100.466 * [backup-simplify]: Simplify 0 into 0 100.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 100.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.477 * [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 0 100.478 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 100.481 * [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 0 100.482 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 100.482 * [backup-simplify]: Simplify 0 into 0 100.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 100.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.503 * [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 0 100.504 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 100.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 100.512 * [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 0 100.513 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 100.513 * [backup-simplify]: Simplify 0 into 0 100.513 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- J))) 1/3) (cbrt -1)) into (* (pow (* J -1) 1/3) (cbrt -1)) 100.513 * * * [progress]: simplifying candidates 100.513 * * * * [progress]: [ 1 / 89 ] simplifiying candidate # 100.513 * * * * [progress]: [ 2 / 89 ] simplifiying candidate # 100.513 * * * * [progress]: [ 3 / 89 ] simplifiying candidate # 100.513 * * * * [progress]: [ 4 / 89 ] simplifiying candidate # 100.513 * * * * [progress]: [ 5 / 89 ] simplifiying candidate # 100.513 * * * * [progress]: [ 6 / 89 ] simplifiying candidate # 100.513 * * * * [progress]: [ 7 / 89 ] simplifiying candidate # 100.514 * [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)))) 100.514 * * [simplify]: iters left: 6 (15 enodes) 100.517 * * [simplify]: iters left: 5 (59 enodes) 100.531 * * [simplify]: iters left: 4 (112 enodes) 100.570 * * [simplify]: iters left: 3 (365 enodes) 100.836 * * [simplify]: Extracting #0: cost 1 inf + 0 100.836 * * [simplify]: Extracting #1: cost 4 inf + 0 100.836 * * [simplify]: Extracting #2: cost 7 inf + 0 100.836 * * [simplify]: Extracting #3: cost 10 inf + 0 100.836 * * [simplify]: Extracting #4: cost 122 inf + 1 100.837 * * [simplify]: Extracting #5: cost 241 inf + 89 100.839 * * [simplify]: Extracting #6: cost 203 inf + 3666 100.843 * * [simplify]: Extracting #7: cost 128 inf + 17960 100.862 * * [simplify]: Extracting #8: cost 13 inf + 45848 100.879 * * [simplify]: Extracting #9: cost 0 inf + 48961 100.902 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 100.902 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 100.902 * * * * [progress]: [ 8 / 89 ] simplifiying candidate # 100.903 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 100.903 * * [simplify]: iters left: 6 (14 enodes) 100.907 * * [simplify]: iters left: 5 (55 enodes) 100.915 * * [simplify]: iters left: 4 (108 enodes) 100.951 * * [simplify]: iters left: 3 (363 enodes) 101.580 * * [simplify]: Extracting #0: cost 1 inf + 0 101.580 * * [simplify]: Extracting #1: cost 3 inf + 0 101.580 * * [simplify]: Extracting #2: cost 5 inf + 0 101.580 * * [simplify]: Extracting #3: cost 8 inf + 0 101.581 * * [simplify]: Extracting #4: cost 123 inf + 1 101.583 * * [simplify]: Extracting #5: cost 234 inf + 420 101.586 * * [simplify]: Extracting #6: cost 203 inf + 3175 101.595 * * [simplify]: Extracting #7: cost 127 inf + 18949 101.618 * * [simplify]: Extracting #8: cost 7 inf + 46860 101.633 * * [simplify]: Extracting #9: cost 0 inf + 48232 101.647 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 101.647 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 101.648 * * * * [progress]: [ 9 / 89 ] simplifiying candidate # 101.648 * [simplify]: Simplifying (sqrt 1) 101.648 * * [simplify]: iters left: 1 (2 enodes) 101.651 * * [simplify]: Extracting #0: cost 1 inf + 0 101.651 * * [simplify]: Extracting #1: cost 0 inf + 1 101.651 * [simplify]: Simplified to 1 101.652 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 101.652 * * * * [progress]: [ 10 / 89 ] simplifiying candidate # 101.652 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 101.652 * * [simplify]: iters left: 6 (16 enodes) 101.662 * * [simplify]: iters left: 5 (70 enodes) 101.690 * * [simplify]: iters left: 4 (176 enodes) 101.822 * * [simplify]: Extracting #0: cost 1 inf + 0 101.822 * * [simplify]: Extracting #1: cost 3 inf + 0 101.822 * * [simplify]: Extracting #2: cost 6 inf + 0 101.822 * * [simplify]: Extracting #3: cost 103 inf + 1 101.824 * * [simplify]: Extracting #4: cost 306 inf + 6 101.826 * * [simplify]: Extracting #5: cost 338 inf + 1810 101.834 * * [simplify]: Extracting #6: cost 242 inf + 27932 101.868 * * [simplify]: Extracting #7: cost 28 inf + 100762 101.895 * * [simplify]: Extracting #8: cost 0 inf + 110036 101.928 * [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))))))) 101.928 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 101.928 * * * * [progress]: [ 11 / 89 ] simplifiying candidate # 101.929 * [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))) 101.929 * * [simplify]: iters left: 6 (15 enodes) 101.933 * * [simplify]: iters left: 5 (62 enodes) 101.945 * * [simplify]: iters left: 4 (150 enodes) 102.033 * * [simplify]: Extracting #0: cost 1 inf + 0 102.033 * * [simplify]: Extracting #1: cost 3 inf + 0 102.033 * * [simplify]: Extracting #2: cost 9 inf + 0 102.033 * * [simplify]: Extracting #3: cost 105 inf + 2 102.034 * * [simplify]: Extracting #4: cost 286 inf + 6 102.035 * * [simplify]: Extracting #5: cost 280 inf + 1923 102.045 * * [simplify]: Extracting #6: cost 191 inf + 25190 102.075 * * [simplify]: Extracting #7: cost 26 inf + 76271 102.114 * * [simplify]: Extracting #8: cost 0 inf + 85028 102.141 * [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)) 102.141 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 102.141 * * * * [progress]: [ 12 / 89 ] simplifiying candidate # 102.142 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 102.142 * * [simplify]: iters left: 6 (12 enodes) 102.145 * * [simplify]: iters left: 5 (49 enodes) 102.154 * * [simplify]: iters left: 4 (102 enodes) 102.191 * * [simplify]: iters left: 3 (356 enodes) 102.399 * * [simplify]: Extracting #0: cost 1 inf + 0 102.399 * * [simplify]: Extracting #1: cost 4 inf + 0 102.399 * * [simplify]: Extracting #2: cost 116 inf + 1 102.400 * * [simplify]: Extracting #3: cost 234 inf + 254 102.402 * * [simplify]: Extracting #4: cost 192 inf + 4198 102.409 * * [simplify]: Extracting #5: cost 121 inf + 19235 102.422 * * [simplify]: Extracting #6: cost 5 inf + 46310 102.437 * * [simplify]: Extracting #7: cost 0 inf + 47117 102.451 * * [simplify]: Extracting #8: cost 0 inf + 46998 102.465 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 102.465 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 102.465 * * * * [progress]: [ 13 / 89 ] simplifiying candidate # 102.466 * * * * [progress]: [ 14 / 89 ] simplifiying candidate # 102.466 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 102.466 * * [simplify]: iters left: 6 (13 enodes) 102.469 * * [simplify]: iters left: 5 (52 enodes) 102.480 * * [simplify]: iters left: 4 (105 enodes) 102.510 * * [simplify]: iters left: 3 (359 enodes) 102.724 * * [simplify]: Extracting #0: cost 1 inf + 0 102.724 * * [simplify]: Extracting #1: cost 3 inf + 0 102.724 * * [simplify]: Extracting #2: cost 6 inf + 0 102.724 * * [simplify]: Extracting #3: cost 118 inf + 1 102.725 * * [simplify]: Extracting #4: cost 235 inf + 336 102.726 * * [simplify]: Extracting #5: cost 193 inf + 4402 102.730 * * [simplify]: Extracting #6: cost 119 inf + 19348 102.743 * * [simplify]: Extracting #7: cost 7 inf + 46040 102.768 * * [simplify]: Extracting #8: cost 0 inf + 47488 102.799 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 102.799 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 102.800 * * * * [progress]: [ 15 / 89 ] simplifiying candidate # 102.800 * * * * [progress]: [ 16 / 89 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))> 102.800 * * * * [progress]: [ 17 / 89 ] simplifiying candidate # 102.800 * [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))) 102.800 * * [simplify]: iters left: 6 (20 enodes) 102.811 * * [simplify]: iters left: 5 (85 enodes) 102.841 * * [simplify]: iters left: 4 (185 enodes) 102.918 * * [simplify]: Extracting #0: cost 1 inf + 0 102.918 * * [simplify]: Extracting #1: cost 26 inf + 0 102.918 * * [simplify]: Extracting #2: cost 69 inf + 1 102.919 * * [simplify]: Extracting #3: cost 73 inf + 84 102.919 * * [simplify]: Extracting #4: cost 112 inf + 1543 102.920 * * [simplify]: Extracting #5: cost 157 inf + 4150 102.925 * * [simplify]: Extracting #6: cost 44 inf + 31505 102.934 * * [simplify]: Extracting #7: cost 3 inf + 48123 102.946 * * [simplify]: Extracting #8: cost 0 inf + 49326 102.958 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 102.958 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 102.958 * * * * [progress]: [ 18 / 89 ] simplifiying candidate # 102.958 * [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))) 102.958 * * [simplify]: iters left: 6 (20 enodes) 102.964 * * [simplify]: iters left: 5 (85 enodes) 102.983 * * [simplify]: iters left: 4 (185 enodes) 103.035 * * [simplify]: Extracting #0: cost 1 inf + 0 103.036 * * [simplify]: Extracting #1: cost 26 inf + 0 103.036 * * [simplify]: Extracting #2: cost 69 inf + 1 103.036 * * [simplify]: Extracting #3: cost 73 inf + 84 103.037 * * [simplify]: Extracting #4: cost 112 inf + 1543 103.040 * * [simplify]: Extracting #5: cost 157 inf + 4150 103.049 * * [simplify]: Extracting #6: cost 44 inf + 31505 103.064 * * [simplify]: Extracting #7: cost 3 inf + 48123 103.078 * * [simplify]: Extracting #8: cost 0 inf + 49326 103.089 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 103.089 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 103.089 * * * * [progress]: [ 19 / 89 ] simplifiying candidate # 103.090 * [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))) 103.090 * * [simplify]: iters left: 6 (20 enodes) 103.095 * * [simplify]: iters left: 5 (85 enodes) 103.111 * * [simplify]: iters left: 4 (185 enodes) 103.192 * * [simplify]: Extracting #0: cost 1 inf + 0 103.192 * * [simplify]: Extracting #1: cost 26 inf + 0 103.192 * * [simplify]: Extracting #2: cost 69 inf + 1 103.192 * * [simplify]: Extracting #3: cost 73 inf + 84 103.193 * * [simplify]: Extracting #4: cost 112 inf + 1543 103.194 * * [simplify]: Extracting #5: cost 157 inf + 4150 103.199 * * [simplify]: Extracting #6: cost 44 inf + 31505 103.208 * * [simplify]: Extracting #7: cost 3 inf + 48123 103.228 * * [simplify]: Extracting #8: cost 0 inf + 49326 103.245 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 103.245 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 103.246 * * * * [progress]: [ 20 / 89 ] simplifiying candidate # 103.246 * [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))) 103.246 * * [simplify]: iters left: 6 (20 enodes) 103.252 * * [simplify]: iters left: 5 (85 enodes) 103.266 * * [simplify]: iters left: 4 (185 enodes) 103.327 * * [simplify]: Extracting #0: cost 1 inf + 0 103.327 * * [simplify]: Extracting #1: cost 26 inf + 0 103.327 * * [simplify]: Extracting #2: cost 69 inf + 1 103.328 * * [simplify]: Extracting #3: cost 73 inf + 84 103.328 * * [simplify]: Extracting #4: cost 112 inf + 1543 103.329 * * [simplify]: Extracting #5: cost 157 inf + 4150 103.337 * * [simplify]: Extracting #6: cost 44 inf + 31505 103.356 * * [simplify]: Extracting #7: cost 3 inf + 48123 103.373 * * [simplify]: Extracting #8: cost 0 inf + 49326 103.386 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 103.386 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 103.386 * * * * [progress]: [ 21 / 89 ] simplifiying candidate # 103.387 * [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))) 103.387 * * [simplify]: iters left: 6 (20 enodes) 103.392 * * [simplify]: iters left: 5 (85 enodes) 103.415 * * [simplify]: iters left: 4 (185 enodes) 103.476 * * [simplify]: Extracting #0: cost 1 inf + 0 103.476 * * [simplify]: Extracting #1: cost 26 inf + 0 103.477 * * [simplify]: Extracting #2: cost 69 inf + 1 103.477 * * [simplify]: Extracting #3: cost 73 inf + 84 103.478 * * [simplify]: Extracting #4: cost 112 inf + 1543 103.480 * * [simplify]: Extracting #5: cost 157 inf + 4150 103.489 * * [simplify]: Extracting #6: cost 44 inf + 31505 103.509 * * [simplify]: Extracting #7: cost 3 inf + 48123 103.532 * * [simplify]: Extracting #8: cost 0 inf + 49326 103.554 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 103.554 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 103.555 * * * * [progress]: [ 22 / 89 ] simplifiying candidate # 103.555 * [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))) 103.555 * * [simplify]: iters left: 6 (20 enodes) 103.566 * * [simplify]: iters left: 5 (85 enodes) 103.595 * * [simplify]: iters left: 4 (185 enodes) 103.656 * * [simplify]: Extracting #0: cost 1 inf + 0 103.656 * * [simplify]: Extracting #1: cost 26 inf + 0 103.656 * * [simplify]: Extracting #2: cost 69 inf + 1 103.657 * * [simplify]: Extracting #3: cost 73 inf + 84 103.658 * * [simplify]: Extracting #4: cost 112 inf + 1543 103.660 * * [simplify]: Extracting #5: cost 157 inf + 4150 103.669 * * [simplify]: Extracting #6: cost 44 inf + 31505 103.680 * * [simplify]: Extracting #7: cost 3 inf + 48123 103.691 * * [simplify]: Extracting #8: cost 0 inf + 49326 103.706 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 103.706 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 103.706 * * * * [progress]: [ 23 / 89 ] simplifiying candidate # 103.706 * [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))) 103.706 * * [simplify]: iters left: 6 (20 enodes) 103.718 * * [simplify]: iters left: 5 (85 enodes) 103.748 * * [simplify]: iters left: 4 (185 enodes) 103.820 * * [simplify]: Extracting #0: cost 1 inf + 0 103.820 * * [simplify]: Extracting #1: cost 26 inf + 0 103.821 * * [simplify]: Extracting #2: cost 69 inf + 1 103.821 * * [simplify]: Extracting #3: cost 73 inf + 84 103.821 * * [simplify]: Extracting #4: cost 112 inf + 1543 103.824 * * [simplify]: Extracting #5: cost 157 inf + 4150 103.829 * * [simplify]: Extracting #6: cost 44 inf + 31505 103.838 * * [simplify]: Extracting #7: cost 3 inf + 48123 103.860 * * [simplify]: Extracting #8: cost 0 inf + 49326 103.884 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 103.884 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 103.884 * * * * [progress]: [ 24 / 89 ] simplifiying candidate # 103.884 * [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))) 103.885 * * [simplify]: iters left: 6 (20 enodes) 103.895 * * [simplify]: iters left: 5 (85 enodes) 103.912 * * [simplify]: iters left: 4 (185 enodes) 103.971 * * [simplify]: Extracting #0: cost 1 inf + 0 103.971 * * [simplify]: Extracting #1: cost 26 inf + 0 103.971 * * [simplify]: Extracting #2: cost 69 inf + 1 103.972 * * [simplify]: Extracting #3: cost 73 inf + 84 103.973 * * [simplify]: Extracting #4: cost 112 inf + 1543 103.975 * * [simplify]: Extracting #5: cost 157 inf + 4150 103.984 * * [simplify]: Extracting #6: cost 44 inf + 31505 104.003 * * [simplify]: Extracting #7: cost 3 inf + 48123 104.026 * * [simplify]: Extracting #8: cost 0 inf + 49326 104.048 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 104.048 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cbrt J)) (* (* (cbrt J) (cbrt J)) -2))) 1)) 104.049 * * * * [progress]: [ 25 / 89 ] simplifiying candidate # 104.049 * * * * [progress]: [ 26 / 89 ] simplifiying candidate # 104.049 * [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)))) 104.049 * * [simplify]: iters left: 6 (24 enodes) 104.063 * * [simplify]: iters left: 5 (97 enodes) 104.093 * * [simplify]: iters left: 4 (197 enodes) 104.148 * * [simplify]: Extracting #0: cost 1 inf + 0 104.148 * * [simplify]: Extracting #1: cost 26 inf + 0 104.148 * * [simplify]: Extracting #2: cost 71 inf + 0 104.148 * * [simplify]: Extracting #3: cost 76 inf + 72 104.149 * * [simplify]: Extracting #4: cost 80 inf + 144 104.149 * * [simplify]: Extracting #5: cost 127 inf + 309 104.150 * * [simplify]: Extracting #6: cost 178 inf + 2148 104.157 * * [simplify]: Extracting #7: cost 65 inf + 32632 104.171 * * [simplify]: Extracting #8: cost 2 inf + 60391 104.188 * * [simplify]: Extracting #9: cost 0 inf + 61773 104.201 * [simplify]: Simplified to (+ (+ (log (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (+ (log (cbrt J)) (log -2))) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))) 104.201 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (+ (log (cbrt J)) (log -2))) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))))) 104.201 * * * * [progress]: [ 27 / 89 ] simplifiying candidate # 104.201 * [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)))) 104.201 * * [simplify]: iters left: 6 (25 enodes) 104.208 * * [simplify]: iters left: 5 (99 enodes) 104.232 * * [simplify]: iters left: 4 (194 enodes) 104.292 * * [simplify]: Extracting #0: cost 1 inf + 0 104.292 * * [simplify]: Extracting #1: cost 28 inf + 0 104.292 * * [simplify]: Extracting #2: cost 74 inf + 0 104.292 * * [simplify]: Extracting #3: cost 80 inf + 72 104.292 * * [simplify]: Extracting #4: cost 84 inf + 144 104.293 * * [simplify]: Extracting #5: cost 126 inf + 1637 104.294 * * [simplify]: Extracting #6: cost 164 inf + 6538 104.299 * * [simplify]: Extracting #7: cost 69 inf + 34059 104.312 * * [simplify]: Extracting #8: cost 3 inf + 62117 104.333 * * [simplify]: Extracting #9: cost 0 inf + 63626 104.346 * * [simplify]: Extracting #10: cost 0 inf + 63587 104.364 * [simplify]: Simplified to (+ (+ (log (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))) (+ (log -2) (+ (log (cbrt J)) (log (cbrt J))))) (+ (log (cos (/ K 2))) (log (cbrt J)))) 104.364 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))) (+ (log -2) (+ (log (cbrt J)) (log (cbrt J))))) (+ (log (cos (/ K 2))) (log (cbrt J)))))) 104.365 * * * * [progress]: [ 28 / 89 ] simplifiying candidate # 104.365 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (log (cbrt J)))) 104.365 * * [simplify]: iters left: 6 (24 enodes) 104.377 * * [simplify]: iters left: 5 (98 enodes) 104.393 * * [simplify]: iters left: 4 (192 enodes) 104.451 * * [simplify]: Extracting #0: cost 1 inf + 0 104.451 * * [simplify]: Extracting #1: cost 25 inf + 0 104.451 * * [simplify]: Extracting #2: cost 67 inf + 0 104.451 * * [simplify]: Extracting #3: cost 75 inf + 72 104.451 * * [simplify]: Extracting #4: cost 78 inf + 306 104.452 * * [simplify]: Extracting #5: cost 122 inf + 1346 104.453 * * [simplify]: Extracting #6: cost 168 inf + 4496 104.458 * * [simplify]: Extracting #7: cost 66 inf + 33031 104.470 * * [simplify]: Extracting #8: cost 1 inf + 59278 104.493 * * [simplify]: Extracting #9: cost 0 inf + 59467 104.516 * [simplify]: Simplified to (+ (+ (+ (log (cbrt J)) (log -2)) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (* (* (cos (/ K 2)) (cbrt J)) (cbrt J)))) 104.516 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt J)) (log -2)) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (* (* (cos (/ K 2)) (cbrt J)) (cbrt J)))))) 104.517 * * * * [progress]: [ 29 / 89 ] simplifiying candidate # 104.517 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 104.517 * * [simplify]: iters left: 6 (23 enodes) 104.528 * * [simplify]: iters left: 5 (95 enodes) 104.544 * * [simplify]: iters left: 4 (188 enodes) 104.606 * * [simplify]: Extracting #0: cost 1 inf + 0 104.606 * * [simplify]: Extracting #1: cost 14 inf + 0 104.606 * * [simplify]: Extracting #2: cost 48 inf + 0 104.606 * * [simplify]: Extracting #3: cost 63 inf + 72 104.607 * * [simplify]: Extracting #4: cost 64 inf + 458 104.608 * * [simplify]: Extracting #5: cost 107 inf + 2874 104.610 * * [simplify]: Extracting #6: cost 153 inf + 5468 104.619 * * [simplify]: Extracting #7: cost 56 inf + 31327 104.637 * * [simplify]: Extracting #8: cost 0 inf + 50413 104.656 * * [simplify]: Extracting #9: cost 0 inf + 50374 104.666 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) (* (* (cbrt J) (cbrt J)) (cbrt J)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 104.666 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) (* (* (cbrt J) (cbrt J)) (cbrt J)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 104.666 * * * * [progress]: [ 30 / 89 ] simplifiying candidate # 104.666 * [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)))) 104.666 * * [simplify]: iters left: 6 (23 enodes) 104.675 * * [simplify]: iters left: 5 (95 enodes) 104.694 * * [simplify]: iters left: 4 (189 enodes) 104.746 * * [simplify]: Extracting #0: cost 1 inf + 0 104.746 * * [simplify]: Extracting #1: cost 24 inf + 0 104.747 * * [simplify]: Extracting #2: cost 65 inf + 0 104.747 * * [simplify]: Extracting #3: cost 70 inf + 72 104.747 * * [simplify]: Extracting #4: cost 73 inf + 225 104.748 * * [simplify]: Extracting #5: cost 119 inf + 873 104.749 * * [simplify]: Extracting #6: cost 171 inf + 2470 104.758 * * [simplify]: Extracting #7: cost 64 inf + 27552 104.783 * * [simplify]: Extracting #8: cost 9 inf + 51692 104.807 * * [simplify]: Extracting #9: cost 0 inf + 57871 104.831 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))) 104.831 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (log (cos (/ K 2))) (+ (log (cbrt J)) (log (cbrt J))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))) 104.831 * * * * [progress]: [ 31 / 89 ] simplifiying candidate # 104.832 * [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)))) 104.832 * * [simplify]: iters left: 6 (24 enodes) 104.844 * * [simplify]: iters left: 5 (97 enodes) 104.861 * * [simplify]: iters left: 4 (186 enodes) 104.908 * * [simplify]: Extracting #0: cost 1 inf + 0 104.908 * * [simplify]: Extracting #1: cost 26 inf + 0 104.908 * * [simplify]: Extracting #2: cost 67 inf + 0 104.909 * * [simplify]: Extracting #3: cost 74 inf + 1 104.909 * * [simplify]: Extracting #4: cost 75 inf + 306 104.909 * * [simplify]: Extracting #5: cost 120 inf + 964 104.910 * * [simplify]: Extracting #6: cost 169 inf + 3179 104.914 * * [simplify]: Extracting #7: cost 68 inf + 27982 104.928 * * [simplify]: Extracting #8: cost 6 inf + 55356 104.951 * * [simplify]: Extracting #9: cost 0 inf + 58948 104.976 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (cbrt J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cos (/ K 2))))) 104.976 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (cbrt J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cos (/ K 2))))))) 104.976 * * * * [progress]: [ 32 / 89 ] simplifiying candidate # 104.977 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (log (cbrt J)))) 104.977 * * [simplify]: iters left: 6 (23 enodes) 104.989 * * [simplify]: iters left: 5 (96 enodes) 105.024 * * [simplify]: iters left: 4 (186 enodes) 105.103 * * [simplify]: Extracting #0: cost 1 inf + 0 105.103 * * [simplify]: Extracting #1: cost 22 inf + 0 105.103 * * [simplify]: Extracting #2: cost 60 inf + 0 105.104 * * [simplify]: Extracting #3: cost 70 inf + 1 105.104 * * [simplify]: Extracting #4: cost 74 inf + 144 105.105 * * [simplify]: Extracting #5: cost 116 inf + 1306 105.107 * * [simplify]: Extracting #6: cost 153 inf + 6103 105.119 * * [simplify]: Extracting #7: cost 44 inf + 34557 105.132 * * [simplify]: Extracting #8: cost 2 inf + 54223 105.145 * * [simplify]: Extracting #9: cost 0 inf + 55096 105.155 * [simplify]: Simplified to (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (* (cbrt J) (cos (/ K 2)))))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) 105.156 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt J)) (+ (log (cbrt J)) (log (* (cbrt J) (cos (/ K 2)))))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))))) 105.156 * * * * [progress]: [ 33 / 89 ] simplifiying candidate # 105.156 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 105.156 * * [simplify]: iters left: 6 (22 enodes) 105.164 * * [simplify]: iters left: 5 (93 enodes) 105.181 * * [simplify]: iters left: 4 (185 enodes) 105.244 * * [simplify]: Extracting #0: cost 1 inf + 0 105.244 * * [simplify]: Extracting #1: cost 14 inf + 0 105.244 * * [simplify]: Extracting #2: cost 46 inf + 0 105.245 * * [simplify]: Extracting #3: cost 58 inf + 143 105.245 * * [simplify]: Extracting #4: cost 62 inf + 226 105.246 * * [simplify]: Extracting #5: cost 109 inf + 1274 105.247 * * [simplify]: Extracting #6: cost 153 inf + 4165 105.255 * * [simplify]: Extracting #7: cost 59 inf + 26349 105.271 * * [simplify]: Extracting #8: cost 3 inf + 45737 105.291 * * [simplify]: Extracting #9: cost 0 inf + 47755 105.311 * * [simplify]: Extracting #10: cost 0 inf + 47754 105.329 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (log (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cos (/ K 2)))))) 105.329 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (log (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cos (/ K 2)))))))) 105.329 * * * * [progress]: [ 34 / 89 ] simplifiying candidate # 105.329 * * * * [progress]: [ 35 / 89 ] simplifiying candidate # 105.329 * * * * [progress]: [ 36 / 89 ] simplifiying candidate # 105.330 * [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)) 105.330 * * [simplify]: iters left: 6 (25 enodes) 105.344 * * [simplify]: iters left: 5 (108 enodes) 105.376 * * [simplify]: iters left: 4 (295 enodes) 105.562 * * [simplify]: Extracting #0: cost 1 inf + 0 105.562 * * [simplify]: Extracting #1: cost 57 inf + 0 105.564 * * [simplify]: Extracting #2: cost 298 inf + 126 105.567 * * [simplify]: Extracting #3: cost 375 inf + 1892 105.570 * * [simplify]: Extracting #4: cost 426 inf + 2104 105.583 * * [simplify]: Extracting #5: cost 307 inf + 30533 105.629 * * [simplify]: Extracting #6: cost 90 inf + 112046 105.709 * * [simplify]: Extracting #7: cost 2 inf + 154961 105.794 * * [simplify]: Extracting #8: cost 0 inf + 155973 105.848 * [simplify]: Simplified to (* (* -8 (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 105.848 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* -8 (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 105.848 * * * * [progress]: [ 37 / 89 ] simplifiying candidate # 105.849 * [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)) 105.849 * * [simplify]: iters left: 6 (28 enodes) 105.865 * * [simplify]: iters left: 5 (125 enodes) 105.892 * * [simplify]: iters left: 4 (358 enodes) 106.140 * * [simplify]: Extracting #0: cost 1 inf + 0 106.140 * * [simplify]: Extracting #1: cost 97 inf + 0 106.141 * * [simplify]: Extracting #2: cost 432 inf + 45 106.143 * * [simplify]: Extracting #3: cost 506 inf + 2649 106.151 * * [simplify]: Extracting #4: cost 405 inf + 42189 106.197 * * [simplify]: Extracting #5: cost 125 inf + 143779 106.267 * * [simplify]: Extracting #6: cost 6 inf + 208042 106.328 * * [simplify]: Extracting #7: cost 0 inf + 211476 106.398 * * [simplify]: Extracting #8: cost 0 inf + 211474 106.460 * [simplify]: Simplified to (* (* J (* (cos (/ K 2)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) 106.460 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* J (* (cos (/ K 2)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))) 106.461 * * * * [progress]: [ 38 / 89 ] simplifiying candidate # 106.461 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) J)) 106.461 * * [simplify]: iters left: 6 (26 enodes) 106.473 * * [simplify]: iters left: 5 (118 enodes) 106.514 * * [simplify]: iters left: 4 (356 enodes) 106.759 * * [simplify]: Extracting #0: cost 1 inf + 0 106.759 * * [simplify]: Extracting #1: cost 79 inf + 0 106.760 * * [simplify]: Extracting #2: cost 406 inf + 4 106.762 * * [simplify]: Extracting #3: cost 505 inf + 1992 106.765 * * [simplify]: Extracting #4: cost 546 inf + 4634 106.773 * * [simplify]: Extracting #5: cost 389 inf + 47767 106.808 * * [simplify]: Extracting #6: cost 123 inf + 162321 106.879 * * [simplify]: Extracting #7: cost 2 inf + 230251 106.975 * * [simplify]: Extracting #8: cost 0 inf + 230983 107.085 * [simplify]: Simplified to (* (* (* (* (* J -8) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 107.085 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* J -8) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 107.085 * * * * [progress]: [ 39 / 89 ] simplifiying candidate # 107.085 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 107.085 * * [simplify]: iters left: 6 (26 enodes) 107.093 * * [simplify]: iters left: 5 (117 enodes) 107.131 * * [simplify]: iters left: 4 (366 enodes) 107.404 * * [simplify]: Extracting #0: cost 1 inf + 0 107.404 * * [simplify]: Extracting #1: cost 76 inf + 0 107.406 * * [simplify]: Extracting #2: cost 388 inf + 3 107.410 * * [simplify]: Extracting #3: cost 524 inf + 734 107.426 * * [simplify]: Extracting #4: cost 443 inf + 44545 107.502 * * [simplify]: Extracting #5: cost 108 inf + 185644 107.605 * * [simplify]: Extracting #6: cost 2 inf + 245160 107.698 * * [simplify]: Extracting #7: cost 0 inf + 246292 107.794 * [simplify]: Simplified to (* (* (* (* (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) -8) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) 107.794 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) -8) (* (cos (/ K 2)) (* (cbrt J) (* (cbrt J) (cbrt J))))) (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 107.794 * * * * [progress]: [ 40 / 89 ] simplifiying candidate # 107.795 * [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)) 107.795 * * [simplify]: iters left: 6 (23 enodes) 107.802 * * [simplify]: iters left: 5 (108 enodes) 107.825 * * [simplify]: iters left: 4 (277 enodes) 107.960 * * [simplify]: Extracting #0: cost 1 inf + 0 107.960 * * [simplify]: Extracting #1: cost 51 inf + 0 107.961 * * [simplify]: Extracting #2: cost 227 inf + 2 107.963 * * [simplify]: Extracting #3: cost 230 inf + 171 107.965 * * [simplify]: Extracting #4: cost 278 inf + 539 107.975 * * [simplify]: Extracting #5: cost 258 inf + 24904 108.025 * * [simplify]: Extracting #6: cost 34 inf + 108311 108.096 * * [simplify]: Extracting #7: cost 0 inf + 120063 108.145 * * [simplify]: Extracting #8: cost 0 inf + 119782 108.186 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 108.186 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 108.186 * * * * [progress]: [ 41 / 89 ] simplifiying candidate # 108.186 * [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)) 108.186 * * [simplify]: iters left: 6 (26 enodes) 108.196 * * [simplify]: iters left: 5 (125 enodes) 108.234 * * [simplify]: iters left: 4 (337 enodes) 108.413 * * [simplify]: Extracting #0: cost 1 inf + 0 108.413 * * [simplify]: Extracting #1: cost 68 inf + 0 108.414 * * [simplify]: Extracting #2: cost 328 inf + 43 108.415 * * [simplify]: Extracting #3: cost 352 inf + 1062 108.419 * * [simplify]: Extracting #4: cost 338 inf + 14284 108.455 * * [simplify]: Extracting #5: cost 197 inf + 100047 108.537 * * [simplify]: Extracting #6: cost 11 inf + 174480 108.600 * * [simplify]: Extracting #7: cost 0 inf + 176108 108.686 * * [simplify]: Extracting #8: cost 0 inf + 176027 108.739 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) 108.739 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (* -8 (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))) 108.739 * * * * [progress]: [ 42 / 89 ] simplifiying candidate # 108.739 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) J)) 108.740 * * [simplify]: iters left: 6 (24 enodes) 108.747 * * [simplify]: iters left: 5 (118 enodes) 108.786 * * [simplify]: iters left: 4 (338 enodes) 108.987 * * [simplify]: Extracting #0: cost 1 inf + 0 108.988 * * [simplify]: Extracting #1: cost 79 inf + 0 108.990 * * [simplify]: Extracting #2: cost 366 inf + 84 108.993 * * [simplify]: Extracting #3: cost 419 inf + 2024 108.998 * * [simplify]: Extracting #4: cost 467 inf + 3737 109.019 * * [simplify]: Extracting #5: cost 272 inf + 80171 109.093 * * [simplify]: Extracting #6: cost 15 inf + 207881 109.188 * * [simplify]: Extracting #7: cost 0 inf + 210246 109.285 * * [simplify]: Extracting #8: cost 0 inf + 210206 109.377 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* J (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))))) (* (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) -8)) 109.377 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* J (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))))) (* (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) -8)))) 109.377 * * * * [progress]: [ 43 / 89 ] simplifiying candidate # 109.378 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 109.378 * * [simplify]: iters left: 6 (24 enodes) 109.392 * * [simplify]: iters left: 5 (117 enodes) 109.443 * * [simplify]: iters left: 4 (348 enodes) 109.636 * * [simplify]: Extracting #0: cost 1 inf + 0 109.636 * * [simplify]: Extracting #1: cost 67 inf + 0 109.637 * * [simplify]: Extracting #2: cost 331 inf + 1 109.638 * * [simplify]: Extracting #3: cost 361 inf + 529 109.642 * * [simplify]: Extracting #4: cost 342 inf + 20043 109.685 * * [simplify]: Extracting #5: cost 214 inf + 112351 109.745 * * [simplify]: Extracting #6: cost 19 inf + 202841 109.823 * * [simplify]: Extracting #7: cost 0 inf + 208729 109.927 * * [simplify]: Extracting #8: cost 0 inf + 208244 110.025 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (* (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))))) 110.025 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8) (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))) (* (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J)))) (* (cbrt J) (* (cos (/ K 2)) (* (cbrt J) (cbrt J))))))))) 110.025 * * * * [progress]: [ 44 / 89 ] simplifiying candidate # 110.025 * * * * [progress]: [ 45 / 89 ] simplifiying candidate # 110.025 * * * * [progress]: [ 46 / 89 ] simplifiying candidate # 110.025 * * * * [progress]: [ 47 / 89 ] simplifiying candidate # 110.025 * * * * [progress]: [ 48 / 89 ] simplifiying candidate # 110.026 * [simplify]: Simplifying (cbrt J) 110.026 * * [simplify]: iters left: 1 (2 enodes) 110.026 * * [simplify]: Extracting #0: cost 1 inf + 0 110.026 * * [simplify]: Extracting #1: cost 3 inf + 0 110.027 * * [simplify]: Extracting #2: cost 2 inf + 1 110.027 * * [simplify]: Extracting #3: cost 0 inf + 163 110.027 * [simplify]: Simplified to (cbrt J) 110.027 * [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))) 110.027 * * * * [progress]: [ 49 / 89 ] simplifiying candidate # 110.027 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 110.027 * * [simplify]: iters left: 6 (13 enodes) 110.032 * * [simplify]: iters left: 5 (52 enodes) 110.040 * * [simplify]: iters left: 4 (105 enodes) 110.076 * * [simplify]: iters left: 3 (359 enodes) 110.279 * * [simplify]: Extracting #0: cost 1 inf + 0 110.279 * * [simplify]: Extracting #1: cost 3 inf + 0 110.279 * * [simplify]: Extracting #2: cost 6 inf + 0 110.280 * * [simplify]: Extracting #3: cost 118 inf + 1 110.282 * * [simplify]: Extracting #4: cost 235 inf + 336 110.285 * * [simplify]: Extracting #5: cost 193 inf + 4402 110.293 * * [simplify]: Extracting #6: cost 119 inf + 19348 110.323 * * [simplify]: Extracting #7: cost 7 inf + 46040 110.353 * * [simplify]: Extracting #8: cost 0 inf + 47488 110.382 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 110.382 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))) 110.382 * * * * [progress]: [ 50 / 89 ] simplifiying candidate # 110.383 * [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))) 110.383 * * [simplify]: iters left: 6 (23 enodes) 110.396 * * [simplify]: iters left: 5 (103 enodes) 110.417 * * [simplify]: iters left: 4 (258 enodes) 110.521 * * [simplify]: Extracting #0: cost 1 inf + 0 110.521 * * [simplify]: Extracting #1: cost 26 inf + 0 110.522 * * [simplify]: Extracting #2: cost 69 inf + 1 110.522 * * [simplify]: Extracting #3: cost 74 inf + 3 110.522 * * [simplify]: Extracting #4: cost 164 inf + 452 110.525 * * [simplify]: Extracting #5: cost 361 inf + 4168 110.538 * * [simplify]: Extracting #6: cost 266 inf + 47944 110.565 * * [simplify]: Extracting #7: cost 28 inf + 127576 110.617 * * [simplify]: Extracting #8: cost 0 inf + 139847 110.669 * * [simplify]: Extracting #9: cost 0 inf + 139222 110.714 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) -2) 110.714 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 110.715 * * * * [progress]: [ 51 / 89 ] simplifiying candidate # 110.715 * [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))) 110.715 * * [simplify]: iters left: 6 (22 enodes) 110.722 * * [simplify]: iters left: 5 (95 enodes) 110.741 * * [simplify]: iters left: 4 (230 enodes) 110.851 * * [simplify]: Extracting #0: cost 1 inf + 0 110.851 * * [simplify]: Extracting #1: cost 26 inf + 0 110.851 * * [simplify]: Extracting #2: cost 69 inf + 1 110.852 * * [simplify]: Extracting #3: cost 76 inf + 84 110.853 * * [simplify]: Extracting #4: cost 157 inf + 1140 110.856 * * [simplify]: Extracting #5: cost 316 inf + 5373 110.871 * * [simplify]: Extracting #6: cost 111 inf + 69441 110.898 * * [simplify]: Extracting #7: cost 2 inf + 110094 110.924 * * [simplify]: Extracting #8: cost 0 inf + 111145 110.968 * [simplify]: Simplified to (* (sqrt (- (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) (* (* (* -2 (cbrt J)) (* (cbrt J) (cbrt J))) (cos (/ K 2)))) 110.968 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (sqrt (- (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) (* (* (* -2 (cbrt J)) (* (cbrt J) (cbrt J))) (cos (/ K 2)))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 110.969 * * * * [progress]: [ 52 / 89 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))))> 110.969 * * * * [progress]: [ 53 / 89 ] simplifiying candidate # 110.969 * * * * [progress]: [ 54 / 89 ] simplifiying candidate # 110.969 * * * * [progress]: [ 55 / 89 ] simplifiying candidate # 110.969 * * * * [progress]: [ 56 / 89 ] simplifiying candidate # 110.969 * * * * [progress]: [ 57 / 89 ] simplifiying candidate # 110.969 * * * * [progress]: [ 58 / 89 ] simplifiying candidate # 110.969 * [simplify]: Simplifying (cbrt (* (cbrt J) (cbrt J))) 110.970 * * [simplify]: iters left: 4 (4 enodes) 110.971 * * [simplify]: iters left: 3 (12 enodes) 110.975 * * [simplify]: Extracting #0: cost 1 inf + 0 110.975 * * [simplify]: Extracting #1: cost 3 inf + 0 110.975 * * [simplify]: Extracting #2: cost 5 inf + 0 110.975 * * [simplify]: Extracting #3: cost 7 inf + 0 110.975 * * [simplify]: Extracting #4: cost 6 inf + 1 110.975 * * [simplify]: Extracting #5: cost 0 inf + 807 110.975 * [simplify]: Simplified to (cbrt (* (cbrt J) (cbrt J))) 110.975 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cbrt (* (cbrt J) (cbrt J))) (cbrt (cbrt J)))))) 110.976 * * * * [progress]: [ 59 / 89 ] simplifiying candidate # 110.976 * [simplify]: Simplifying (cbrt (sqrt J)) 110.976 * * [simplify]: iters left: 2 (3 enodes) 110.977 * * [simplify]: iters left: 1 (9 enodes) 110.980 * * [simplify]: Extracting #0: cost 1 inf + 0 110.980 * * [simplify]: Extracting #1: cost 3 inf + 0 110.980 * * [simplify]: Extracting #2: cost 5 inf + 0 110.980 * * [simplify]: Extracting #3: cost 4 inf + 1 110.980 * * [simplify]: Extracting #4: cost 0 inf + 325 110.980 * [simplify]: Simplified to (cbrt (sqrt J)) 110.980 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cbrt (sqrt J)) (cbrt (sqrt J)))))) 110.980 * * * * [progress]: [ 60 / 89 ] simplifiying candidate # 110.981 * [simplify]: Simplifying (cbrt 1) 110.981 * * [simplify]: iters left: 1 (2 enodes) 110.984 * * [simplify]: Extracting #0: cost 1 inf + 0 110.984 * * [simplify]: Extracting #1: cost 0 inf + 1 110.984 * [simplify]: Simplified to 1 110.984 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* 1 (cbrt J))))) 110.985 * * * * [progress]: [ 61 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 62 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 63 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 64 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 65 / 89 ] simplifiying candidate #real (real->posit16 (cbrt J))))))> 110.985 * * * * [progress]: [ 66 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 67 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 68 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 69 / 89 ] simplifiying candidate # 110.985 * * * * [progress]: [ 70 / 89 ] simplifiying candidate # 110.985 * [simplify]: Simplifying (cbrt (* (cbrt J) (cbrt J))) 110.986 * * [simplify]: iters left: 4 (4 enodes) 110.987 * * [simplify]: iters left: 3 (12 enodes) 110.991 * * [simplify]: Extracting #0: cost 1 inf + 0 110.991 * * [simplify]: Extracting #1: cost 3 inf + 0 110.991 * * [simplify]: Extracting #2: cost 5 inf + 0 110.991 * * [simplify]: Extracting #3: cost 7 inf + 0 110.991 * * [simplify]: Extracting #4: cost 6 inf + 1 110.991 * * [simplify]: Extracting #5: cost 0 inf + 807 110.991 * [simplify]: Simplified to (cbrt (* (cbrt J) (cbrt J))) 110.991 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt (* (cbrt J) (cbrt J))) (cbrt (cbrt J))))) (cbrt J)))) 110.991 * * * * [progress]: [ 71 / 89 ] simplifiying candidate # 110.992 * [simplify]: Simplifying (cbrt (sqrt J)) 110.992 * * [simplify]: iters left: 2 (3 enodes) 110.993 * * [simplify]: iters left: 1 (9 enodes) 110.995 * * [simplify]: Extracting #0: cost 1 inf + 0 110.996 * * [simplify]: Extracting #1: cost 3 inf + 0 110.996 * * [simplify]: Extracting #2: cost 5 inf + 0 110.996 * * [simplify]: Extracting #3: cost 4 inf + 1 110.996 * * [simplify]: Extracting #4: cost 0 inf + 325 110.996 * [simplify]: Simplified to (cbrt (sqrt J)) 110.996 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt (sqrt J)) (cbrt (sqrt J))))) (cbrt J)))) 110.996 * * * * [progress]: [ 72 / 89 ] simplifiying candidate # 110.996 * [simplify]: Simplifying (cbrt 1) 110.996 * * [simplify]: iters left: 1 (2 enodes) 111.000 * * [simplify]: Extracting #0: cost 1 inf + 0 111.000 * * [simplify]: Extracting #1: cost 0 inf + 1 111.000 * [simplify]: Simplified to 1 111.000 * [simplify]: Simplified (2 2 1 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* 1 (cbrt J)))) (cbrt J)))) 111.000 * * * * [progress]: [ 73 / 89 ] simplifiying candidate # 111.000 * * * * [progress]: [ 74 / 89 ] simplifiying candidate # 111.000 * * * * [progress]: [ 75 / 89 ] simplifiying candidate # 111.001 * * * * [progress]: [ 76 / 89 ] simplifiying candidate # 111.001 * * * * [progress]: [ 77 / 89 ] simplifiying candidate #real (real->posit16 (cbrt J))))) (cbrt J))))> 111.001 * * * * [progress]: [ 78 / 89 ] simplifiying candidate # 111.001 * [simplify]: Simplifying 1 111.001 * * [simplify]: iters left: 0 (1 enodes) 111.002 * * [simplify]: Extracting #0: cost 1 inf + 0 111.002 * * [simplify]: Extracting #1: cost 0 inf + 1 111.002 * [simplify]: Simplified to 1 111.002 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 111.002 * * * * [progress]: [ 79 / 89 ] simplifiying candidate # 111.003 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 111.003 * * [simplify]: iters left: 6 (9 enodes) 111.007 * * [simplify]: iters left: 5 (34 enodes) 111.018 * * [simplify]: iters left: 4 (56 enodes) 111.038 * * [simplify]: iters left: 3 (90 enodes) 111.064 * * [simplify]: iters left: 2 (114 enodes) 111.079 * * [simplify]: iters left: 1 (131 enodes) 111.097 * * [simplify]: Extracting #0: cost 1 inf + 0 111.097 * * [simplify]: Extracting #1: cost 22 inf + 0 111.097 * * [simplify]: Extracting #2: cost 37 inf + 3 111.097 * * [simplify]: Extracting #3: cost 31 inf + 380 111.098 * * [simplify]: Extracting #4: cost 17 inf + 1834 111.099 * * [simplify]: Extracting #5: cost 3 inf + 4117 111.100 * * [simplify]: Extracting #6: cost 0 inf + 4586 111.101 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 111.101 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 111.101 * * * * [progress]: [ 80 / 89 ] simplifiying candidate # 111.101 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 111.101 * * [simplify]: iters left: 6 (9 enodes) 111.103 * * [simplify]: iters left: 5 (34 enodes) 111.109 * * [simplify]: iters left: 4 (56 enodes) 111.119 * * [simplify]: iters left: 3 (90 enodes) 111.146 * * [simplify]: iters left: 2 (114 enodes) 111.176 * * [simplify]: iters left: 1 (131 enodes) 111.211 * * [simplify]: Extracting #0: cost 1 inf + 0 111.211 * * [simplify]: Extracting #1: cost 22 inf + 0 111.212 * * [simplify]: Extracting #2: cost 37 inf + 3 111.212 * * [simplify]: Extracting #3: cost 31 inf + 380 111.213 * * [simplify]: Extracting #4: cost 17 inf + 1834 111.215 * * [simplify]: Extracting #5: cost 3 inf + 4117 111.217 * * [simplify]: Extracting #6: cost 0 inf + 4586 111.219 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 111.219 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 111.219 * * * * [progress]: [ 81 / 89 ] simplifiying candidate # 111.219 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 111.220 * * [simplify]: iters left: 6 (10 enodes) 111.225 * * [simplify]: iters left: 5 (43 enodes) 111.241 * * [simplify]: iters left: 4 (79 enodes) 111.267 * * [simplify]: iters left: 3 (118 enodes) 111.288 * * [simplify]: iters left: 2 (171 enodes) 111.333 * * [simplify]: iters left: 1 (242 enodes) 111.391 * * [simplify]: Extracting #0: cost 1 inf + 0 111.391 * * [simplify]: Extracting #1: cost 6 inf + 0 111.391 * * [simplify]: Extracting #2: cost 41 inf + 0 111.392 * * [simplify]: Extracting #3: cost 56 inf + 213 111.392 * * [simplify]: Extracting #4: cost 20 inf + 2732 111.394 * * [simplify]: Extracting #5: cost 1 inf + 4576 111.395 * * [simplify]: Extracting #6: cost 0 inf + 4698 111.398 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 111.398 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 111.398 * * * * [progress]: [ 82 / 89 ] simplifiying candidate # 111.398 * [simplify]: Simplifying (* -1 U) 111.399 * * [simplify]: iters left: 2 (3 enodes) 111.401 * * [simplify]: iters left: 1 (11 enodes) 111.404 * * [simplify]: Extracting #0: cost 1 inf + 0 111.404 * * [simplify]: Extracting #1: cost 4 inf + 0 111.404 * * [simplify]: Extracting #2: cost 0 inf + 84 111.404 * [simplify]: Simplified to (- U) 111.404 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 111.404 * * * * [progress]: [ 83 / 89 ] simplifiying candidate # 111.404 * [simplify]: Simplifying (* -1 U) 111.404 * * [simplify]: iters left: 2 (3 enodes) 111.406 * * [simplify]: iters left: 1 (11 enodes) 111.409 * * [simplify]: Extracting #0: cost 1 inf + 0 111.409 * * [simplify]: Extracting #1: cost 4 inf + 0 111.409 * * [simplify]: Extracting #2: cost 0 inf + 84 111.409 * [simplify]: Simplified to (- U) 111.409 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 111.409 * * * * [progress]: [ 84 / 89 ] simplifiying candidate # 111.410 * [simplify]: Simplifying (pow J 1/3) 111.410 * * [simplify]: iters left: 1 (3 enodes) 111.412 * * [simplify]: Extracting #0: cost 1 inf + 0 111.412 * * [simplify]: Extracting #1: cost 5 inf + 0 111.412 * * [simplify]: Extracting #2: cost 4 inf + 2 111.412 * * [simplify]: Extracting #3: cost 0 inf + 377 111.412 * [simplify]: Simplified to (cbrt J) 111.412 * [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)))) 111.413 * * * * [progress]: [ 85 / 89 ] simplifiying candidate # 111.413 * [simplify]: Simplifying (pow (/ 1 J) -1/3) 111.413 * * [simplify]: iters left: 3 (5 enodes) 111.416 * * [simplify]: iters left: 2 (22 enodes) 111.426 * * [simplify]: iters left: 1 (38 enodes) 111.442 * * [simplify]: Extracting #0: cost 1 inf + 0 111.442 * * [simplify]: Extracting #1: cost 9 inf + 0 111.442 * * [simplify]: Extracting #2: cost 16 inf + 1 111.442 * * [simplify]: Extracting #3: cost 13 inf + 5 111.442 * * [simplify]: Extracting #4: cost 6 inf + 1102 111.443 * * [simplify]: Extracting #5: cost 0 inf + 3162 111.443 * [simplify]: Simplified to (pow (/ 1 J) -1/3) 111.443 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (pow (/ 1 J) -1/3)))) 111.443 * * * * [progress]: [ 86 / 89 ] simplifiying candidate # 111.444 * [simplify]: Simplifying (* (pow (* J -1) 1/3) (cbrt -1)) 111.444 * * [simplify]: iters left: 5 (7 enodes) 111.450 * * [simplify]: iters left: 4 (29 enodes) 111.462 * * [simplify]: iters left: 3 (48 enodes) 111.485 * * [simplify]: iters left: 2 (90 enodes) 111.504 * * [simplify]: iters left: 1 (181 enodes) 111.547 * * [simplify]: Extracting #0: cost 1 inf + 0 111.547 * * [simplify]: Extracting #1: cost 23 inf + 0 111.548 * * [simplify]: Extracting #2: cost 77 inf + 0 111.548 * * [simplify]: Extracting #3: cost 73 inf + 8 111.549 * * [simplify]: Extracting #4: cost 69 inf + 92 111.552 * * [simplify]: Extracting #5: cost 18 inf + 24534 111.562 * * [simplify]: Extracting #6: cost 0 inf + 34495 111.568 * * [simplify]: Extracting #7: cost 0 inf + 34324 111.575 * [simplify]: Simplified to (* (cbrt (- J)) (cbrt -1)) 111.575 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (* (cbrt (- J)) (cbrt -1))))) 111.575 * * * * [progress]: [ 87 / 89 ] simplifiying candidate # 111.575 * [simplify]: Simplifying (pow J 1/3) 111.575 * * [simplify]: iters left: 1 (3 enodes) 111.578 * * [simplify]: Extracting #0: cost 1 inf + 0 111.578 * * [simplify]: Extracting #1: cost 5 inf + 0 111.578 * * [simplify]: Extracting #2: cost 4 inf + 2 111.578 * * [simplify]: Extracting #3: cost 0 inf + 377 111.578 * [simplify]: Simplified to (cbrt J) 111.578 * [simplify]: Simplified (2 2 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 111.579 * * * * [progress]: [ 88 / 89 ] simplifiying candidate # 111.579 * [simplify]: Simplifying (pow (/ 1 J) -1/3) 111.579 * * [simplify]: iters left: 3 (5 enodes) 111.583 * * [simplify]: iters left: 2 (22 enodes) 111.592 * * [simplify]: iters left: 1 (38 enodes) 111.608 * * [simplify]: Extracting #0: cost 1 inf + 0 111.608 * * [simplify]: Extracting #1: cost 9 inf + 0 111.608 * * [simplify]: Extracting #2: cost 16 inf + 1 111.608 * * [simplify]: Extracting #3: cost 13 inf + 5 111.609 * * [simplify]: Extracting #4: cost 6 inf + 1102 111.609 * * [simplify]: Extracting #5: cost 0 inf + 3162 111.610 * [simplify]: Simplified to (pow (/ 1 J) -1/3) 111.610 * [simplify]: Simplified (2 2 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (pow (/ 1 J) -1/3))) (cbrt J)))) 111.610 * * * * [progress]: [ 89 / 89 ] simplifiying candidate # 111.610 * [simplify]: Simplifying (* (pow (* J -1) 1/3) (cbrt -1)) 111.610 * * [simplify]: iters left: 5 (7 enodes) 111.615 * * [simplify]: iters left: 4 (29 enodes) 111.622 * * [simplify]: iters left: 3 (48 enodes) 111.633 * * [simplify]: iters left: 2 (90 enodes) 111.654 * * [simplify]: iters left: 1 (181 enodes) 111.711 * * [simplify]: Extracting #0: cost 1 inf + 0 111.711 * * [simplify]: Extracting #1: cost 23 inf + 0 111.712 * * [simplify]: Extracting #2: cost 77 inf + 0 111.712 * * [simplify]: Extracting #3: cost 73 inf + 8 111.712 * * [simplify]: Extracting #4: cost 69 inf + 92 111.714 * * [simplify]: Extracting #5: cost 18 inf + 24534 111.717 * * [simplify]: Extracting #6: cost 0 inf + 34495 111.721 * * [simplify]: Extracting #7: cost 0 inf + 34324 111.727 * [simplify]: Simplified to (* (cbrt (- J)) (cbrt -1)) 111.727 * [simplify]: Simplified (2 2 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (* (cbrt (- J)) (cbrt -1)))) (cbrt J)))) 111.727 * * * [progress]: adding candidates to table 112.941 * [progress]: [Phase 3 of 3] Extracting. 112.941 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 112.944 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 112.945 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # # #) 113.028 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # # #) 113.153 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # # #) 113.244 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # # #) 113.321 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # # #) 113.429 * * * [regime]: Found split indices: #