47.233 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.160 * * * [progress]: [2/2] Setting up program. 0.165 * [progress]: [Phase 2 of 3] Improving. 0.165 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.165 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.165 * * [simplify]: iteration 1: (17 enodes) 0.168 * * [simplify]: iteration 2: (34 enodes) 0.175 * * [simplify]: iteration 3: (83 enodes) 0.210 * * [simplify]: iteration 4: (190 enodes) 0.311 * * [simplify]: iteration 5: (623 enodes) 0.920 * * [simplify]: Extracting #0: cost 1 inf + 0 0.921 * * [simplify]: Extracting #1: cost 15 inf + 0 0.921 * * [simplify]: Extracting #2: cost 17 inf + 2 0.921 * * [simplify]: Extracting #3: cost 34 inf + 45 0.921 * * [simplify]: Extracting #4: cost 211 inf + 90 0.925 * * [simplify]: Extracting #5: cost 313 inf + 10174 0.946 * * [simplify]: Extracting #6: cost 122 inf + 80178 1.008 * * [simplify]: Extracting #7: cost 7 inf + 117498 1.071 * * [simplify]: Extracting #8: cost 0 inf + 119673 1.133 * [simplify]: Simplified to: (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) 1.151 * * [progress]: iteration 1 / 4 1.152 * * * [progress]: picking best candidate 1.158 * * * * [pick]: Picked # 1.158 * * * [progress]: localizing error 1.210 * * * [progress]: generating rewritten candidates 1.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.273 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.335 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.362 * * * [progress]: generating series expansions 1.362 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.363 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 1.363 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 1.363 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 1.363 * [taylor]: Taking taylor expansion of -2 in K 1.363 * [backup-simplify]: Simplify -2 into -2 1.363 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 1.363 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.363 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.363 * [taylor]: Taking taylor expansion of 1/2 in K 1.363 * [backup-simplify]: Simplify 1/2 into 1/2 1.363 * [taylor]: Taking taylor expansion of K in K 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.365 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 1.365 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.365 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 1.365 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.365 * [taylor]: Taking taylor expansion of 1 in K 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of 1 in K 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.365 * [taylor]: Taking taylor expansion of 1/2 in K 1.365 * [backup-simplify]: Simplify 1/2 into 1/2 1.365 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.365 * [taylor]: Taking taylor expansion of U in K 1.365 * [backup-simplify]: Simplify U into U 1.365 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.365 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.365 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.365 * [taylor]: Taking taylor expansion of 1/2 in K 1.366 * [backup-simplify]: Simplify 1/2 into 1/2 1.366 * [taylor]: Taking taylor expansion of K in K 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.367 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.367 * [taylor]: Taking taylor expansion of J in K 1.367 * [backup-simplify]: Simplify J into J 1.367 * [backup-simplify]: Simplify (* 1 J) into J 1.367 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.367 * [taylor]: Taking taylor expansion of 1/2 in K 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 1.367 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.367 * [taylor]: Taking taylor expansion of U in K 1.367 * [backup-simplify]: Simplify U into U 1.367 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.367 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.367 * [taylor]: Taking taylor expansion of 1/2 in K 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 1.367 * [taylor]: Taking taylor expansion of K in K 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.368 * [taylor]: Taking taylor expansion of J in K 1.368 * [backup-simplify]: Simplify J into J 1.369 * [backup-simplify]: Simplify (* 1 J) into J 1.369 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.369 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.369 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.369 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.370 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.370 * [backup-simplify]: Simplify (+ 0) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.371 * [backup-simplify]: Simplify (+ 0) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.372 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.372 * [taylor]: Taking taylor expansion of J in K 1.372 * [backup-simplify]: Simplify J into J 1.372 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 1.372 * [taylor]: Taking taylor expansion of -2 in J 1.372 * [backup-simplify]: Simplify -2 into -2 1.372 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 1.372 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.372 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.372 * [taylor]: Taking taylor expansion of 1/2 in J 1.373 * [backup-simplify]: Simplify 1/2 into 1/2 1.373 * [taylor]: Taking taylor expansion of K in J 1.373 * [backup-simplify]: Simplify K into K 1.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.373 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.373 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 1.373 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.373 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.373 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 1.373 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.373 * [taylor]: Taking taylor expansion of 1 in J 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [taylor]: Taking taylor expansion of 1 in J 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.373 * [taylor]: Taking taylor expansion of 1/2 in J 1.373 * [backup-simplify]: Simplify 1/2 into 1/2 1.373 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.373 * [taylor]: Taking taylor expansion of U in J 1.373 * [backup-simplify]: Simplify U into U 1.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.373 * [taylor]: Taking taylor expansion of 1/2 in J 1.373 * [backup-simplify]: Simplify 1/2 into 1/2 1.373 * [taylor]: Taking taylor expansion of K in J 1.373 * [backup-simplify]: Simplify K into K 1.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.373 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.373 * [taylor]: Taking taylor expansion of J in J 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.373 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.374 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.374 * [backup-simplify]: Simplify (+ 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.375 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.376 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.376 * [taylor]: Taking taylor expansion of 1/2 in J 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.376 * [taylor]: Taking taylor expansion of U in J 1.376 * [backup-simplify]: Simplify U into U 1.376 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.376 * [taylor]: Taking taylor expansion of 1/2 in J 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of K in J 1.376 * [backup-simplify]: Simplify K into K 1.376 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.376 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.376 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.376 * [taylor]: Taking taylor expansion of J in J 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.377 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.377 * [backup-simplify]: Simplify (+ 0) into 0 1.377 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.379 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.379 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.379 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.379 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.380 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.380 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.380 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.382 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.383 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.385 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.386 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.386 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.386 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.387 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.388 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.388 * [taylor]: Taking taylor expansion of J in J 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.388 * [taylor]: Taking taylor expansion of -2 in U 1.388 * [backup-simplify]: Simplify -2 into -2 1.388 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.388 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.388 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.388 * [taylor]: Taking taylor expansion of 1/2 in U 1.388 * [backup-simplify]: Simplify 1/2 into 1/2 1.388 * [taylor]: Taking taylor expansion of K in U 1.388 * [backup-simplify]: Simplify K into K 1.388 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.388 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.388 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.389 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.389 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.389 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.389 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.389 * [taylor]: Taking taylor expansion of 1 in U 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [taylor]: Taking taylor expansion of 1 in U 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.389 * [taylor]: Taking taylor expansion of 1/2 in U 1.389 * [backup-simplify]: Simplify 1/2 into 1/2 1.389 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.389 * [taylor]: Taking taylor expansion of U in U 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.389 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.389 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.389 * [taylor]: Taking taylor expansion of 1/2 in U 1.389 * [backup-simplify]: Simplify 1/2 into 1/2 1.389 * [taylor]: Taking taylor expansion of K in U 1.389 * [backup-simplify]: Simplify K into K 1.389 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.389 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.389 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.389 * [taylor]: Taking taylor expansion of J in U 1.389 * [backup-simplify]: Simplify J into J 1.389 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.389 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.390 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.390 * [taylor]: Taking taylor expansion of 1/2 in U 1.390 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.390 * [taylor]: Taking taylor expansion of U in U 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.390 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.390 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.390 * [taylor]: Taking taylor expansion of 1/2 in U 1.390 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of K in U 1.390 * [backup-simplify]: Simplify K into K 1.390 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.390 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.390 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.390 * [taylor]: Taking taylor expansion of J in U 1.390 * [backup-simplify]: Simplify J into J 1.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.390 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.390 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.391 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.391 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (+ 1 0) into 1 1.391 * [backup-simplify]: Simplify (sqrt 1) into 1 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.395 * [taylor]: Taking taylor expansion of J in U 1.395 * [backup-simplify]: Simplify J into J 1.395 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.395 * [taylor]: Taking taylor expansion of -2 in U 1.395 * [backup-simplify]: Simplify -2 into -2 1.395 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.395 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.395 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.395 * [taylor]: Taking taylor expansion of 1/2 in U 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of K in U 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 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.395 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.395 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.395 * [taylor]: Taking taylor expansion of 1 in U 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of 1 in U 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.395 * [taylor]: Taking taylor expansion of 1/2 in U 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.395 * [taylor]: Taking taylor expansion of U in U 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.395 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.395 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.395 * [taylor]: Taking taylor expansion of 1/2 in U 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of K in U 1.396 * [backup-simplify]: Simplify K into K 1.396 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.396 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.396 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.396 * [taylor]: Taking taylor expansion of J in U 1.396 * [backup-simplify]: Simplify J into J 1.396 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.396 * [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)) 1.397 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.397 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.397 * [taylor]: Taking taylor expansion of 1/2 in U 1.397 * [backup-simplify]: Simplify 1/2 into 1/2 1.397 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.397 * [taylor]: Taking taylor expansion of U in U 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.397 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.397 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.397 * [taylor]: Taking taylor expansion of 1/2 in U 1.397 * [backup-simplify]: Simplify 1/2 into 1/2 1.397 * [taylor]: Taking taylor expansion of K in U 1.397 * [backup-simplify]: Simplify K into K 1.397 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.397 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.397 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.397 * [taylor]: Taking taylor expansion of J in U 1.397 * [backup-simplify]: Simplify J into J 1.397 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.397 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.398 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.398 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.398 * [backup-simplify]: Simplify (* 1 1) into 1 1.398 * [backup-simplify]: Simplify (+ 1 0) into 1 1.398 * [backup-simplify]: Simplify (sqrt 1) into 1 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.400 * [taylor]: Taking taylor expansion of J in U 1.400 * [backup-simplify]: Simplify J into J 1.400 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.400 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.401 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.401 * [backup-simplify]: Simplify (* 1 J) into J 1.401 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.401 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.401 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.401 * [taylor]: Taking taylor expansion of -2 in J 1.401 * [backup-simplify]: Simplify -2 into -2 1.401 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.401 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.401 * [taylor]: Taking taylor expansion of 1/2 in J 1.401 * [backup-simplify]: Simplify 1/2 into 1/2 1.401 * [taylor]: Taking taylor expansion of K in J 1.401 * [backup-simplify]: Simplify K into K 1.401 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.401 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.401 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.401 * [taylor]: Taking taylor expansion of J in J 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.402 * [backup-simplify]: Simplify (+ 0) into 0 1.402 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.403 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.404 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.404 * [taylor]: Taking taylor expansion of 0 in J 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.404 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.405 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.405 * [backup-simplify]: Simplify (* -2 0) into 0 1.405 * [taylor]: Taking taylor expansion of 0 in K 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.406 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.406 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.406 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.406 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.407 * [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))) 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 1.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.410 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 1.411 * [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)))) 1.411 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 1.411 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 1.411 * [taylor]: Taking taylor expansion of 1/4 in J 1.411 * [backup-simplify]: Simplify 1/4 into 1/4 1.411 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 1.411 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.411 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.411 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.411 * [taylor]: Taking taylor expansion of 1/2 in J 1.411 * [backup-simplify]: Simplify 1/2 into 1/2 1.411 * [taylor]: Taking taylor expansion of K in J 1.412 * [backup-simplify]: Simplify K into K 1.412 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.412 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.412 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.412 * [taylor]: Taking taylor expansion of J in J 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.412 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.412 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.412 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.412 * [backup-simplify]: Simplify (+ 0) into 0 1.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.415 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 1.415 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 1.415 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 1.415 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 1.415 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 1.415 * [taylor]: Taking taylor expansion of 1/4 in K 1.416 * [backup-simplify]: Simplify 1/4 into 1/4 1.416 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 1.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.416 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.416 * [taylor]: Taking taylor expansion of 1/2 in K 1.416 * [backup-simplify]: Simplify 1/2 into 1/2 1.416 * [taylor]: Taking taylor expansion of K in K 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.417 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.417 * [backup-simplify]: Simplify -1/4 into -1/4 1.417 * [taylor]: Taking taylor expansion of 0 in K 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (+ 0) into 0 1.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.419 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.420 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 1.420 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 1.420 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.420 * [taylor]: Taking taylor expansion of 2 in K 1.420 * [backup-simplify]: Simplify 2 into 2 1.420 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.420 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.420 * [taylor]: Taking taylor expansion of 1/2 in K 1.420 * [backup-simplify]: Simplify 1/2 into 1/2 1.420 * [taylor]: Taking taylor expansion of K in K 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.421 * [backup-simplify]: Simplify (* 2 1) into 2 1.422 * [backup-simplify]: Simplify (- 2) into -2 1.422 * [backup-simplify]: Simplify -2 into -2 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.424 * [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 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.425 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.427 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 1.430 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.432 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.434 * [taylor]: Taking taylor expansion of 0 in J 1.434 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.435 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.436 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.436 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [taylor]: Taking taylor expansion of 0 in K 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [taylor]: Taking taylor expansion of 0 in K 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.440 * [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 1.441 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.442 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.442 * [taylor]: Taking taylor expansion of 0 in K 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (+ 0) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.444 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 1.444 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 1.444 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 1.444 * [taylor]: Taking taylor expansion of -2 in K 1.444 * [backup-simplify]: Simplify -2 into -2 1.444 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 1.444 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 1.444 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.444 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 1.444 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.444 * [taylor]: Taking taylor expansion of 1 in K 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [taylor]: Taking taylor expansion of 1 in K 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.444 * [taylor]: Taking taylor expansion of 1/2 in K 1.444 * [backup-simplify]: Simplify 1/2 into 1/2 1.444 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.444 * [taylor]: Taking taylor expansion of J in K 1.444 * [backup-simplify]: Simplify J into J 1.444 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.444 * [taylor]: Taking taylor expansion of U in K 1.444 * [backup-simplify]: Simplify U into U 1.444 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.444 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.444 * [taylor]: Taking taylor expansion of 1/2 in K 1.444 * [backup-simplify]: Simplify 1/2 into 1/2 1.444 * [taylor]: Taking taylor expansion of K in K 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.444 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.445 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.445 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.445 * [taylor]: Taking taylor expansion of 1/2 in K 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.445 * [taylor]: Taking taylor expansion of J in K 1.445 * [backup-simplify]: Simplify J into J 1.445 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.445 * [taylor]: Taking taylor expansion of U in K 1.445 * [backup-simplify]: Simplify U into U 1.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.445 * [taylor]: Taking taylor expansion of 1/2 in K 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of K in K 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.445 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.445 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.445 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.446 * [backup-simplify]: Simplify (* 1 1) into 1 1.446 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.446 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.446 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.446 * [backup-simplify]: Simplify (+ 1 (* 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) 1.446 * [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)) 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.447 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.448 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.448 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.449 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.449 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.449 * [taylor]: Taking taylor expansion of 1/2 in K 1.449 * [backup-simplify]: Simplify 1/2 into 1/2 1.449 * [taylor]: Taking taylor expansion of K in K 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.449 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.449 * [taylor]: Taking taylor expansion of J in K 1.449 * [backup-simplify]: Simplify J into J 1.449 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 1.450 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 1.450 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 1.450 * [taylor]: Taking taylor expansion of -2 in J 1.450 * [backup-simplify]: Simplify -2 into -2 1.450 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 1.450 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 1.450 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.450 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 1.450 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.450 * [taylor]: Taking taylor expansion of 1 in J 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [taylor]: Taking taylor expansion of 1 in J 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.450 * [taylor]: Taking taylor expansion of 1/2 in J 1.450 * [backup-simplify]: Simplify 1/2 into 1/2 1.450 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.450 * [taylor]: Taking taylor expansion of J in J 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.450 * [taylor]: Taking taylor expansion of U in J 1.450 * [backup-simplify]: Simplify U into U 1.450 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.450 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.450 * [taylor]: Taking taylor expansion of 1/2 in J 1.450 * [backup-simplify]: Simplify 1/2 into 1/2 1.450 * [taylor]: Taking taylor expansion of K in J 1.450 * [backup-simplify]: Simplify K into K 1.450 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.450 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.450 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.450 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.450 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.451 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.451 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.451 * [taylor]: Taking taylor expansion of 1/2 in J 1.451 * [backup-simplify]: Simplify 1/2 into 1/2 1.451 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.451 * [taylor]: Taking taylor expansion of J in J 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.451 * [taylor]: Taking taylor expansion of U in J 1.451 * [backup-simplify]: Simplify U into U 1.451 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.451 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.451 * [taylor]: Taking taylor expansion of 1/2 in J 1.451 * [backup-simplify]: Simplify 1/2 into 1/2 1.451 * [taylor]: Taking taylor expansion of K in J 1.451 * [backup-simplify]: Simplify K into K 1.451 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.451 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.451 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.451 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.451 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.452 * [backup-simplify]: Simplify (- 0) into 0 1.452 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.452 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.452 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.452 * [backup-simplify]: Simplify (* 1 1) into 1 1.452 * [backup-simplify]: Simplify (+ 1 0) into 1 1.453 * [backup-simplify]: Simplify (sqrt 1) into 1 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.454 * [taylor]: Taking taylor expansion of 1/2 in J 1.454 * [backup-simplify]: Simplify 1/2 into 1/2 1.454 * [taylor]: Taking taylor expansion of K in J 1.454 * [backup-simplify]: Simplify K into K 1.454 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.454 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.454 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.454 * [taylor]: Taking taylor expansion of J in J 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.454 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.454 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 1.454 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.455 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.455 * [taylor]: Taking taylor expansion of -2 in U 1.455 * [backup-simplify]: Simplify -2 into -2 1.455 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.455 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.455 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.455 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.455 * [taylor]: Taking taylor expansion of 1 in U 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of 1 in U 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.455 * [taylor]: Taking taylor expansion of 1/2 in U 1.455 * [backup-simplify]: Simplify 1/2 into 1/2 1.455 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.455 * [taylor]: Taking taylor expansion of J in U 1.455 * [backup-simplify]: Simplify J into J 1.455 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.455 * [taylor]: Taking taylor expansion of U in U 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.455 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.455 * [taylor]: Taking taylor expansion of 1/2 in U 1.455 * [backup-simplify]: Simplify 1/2 into 1/2 1.455 * [taylor]: Taking taylor expansion of K in U 1.455 * [backup-simplify]: Simplify K into K 1.455 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.455 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.455 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.455 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.455 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.456 * [backup-simplify]: Simplify (- 0) into 0 1.456 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.456 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.456 * [backup-simplify]: Simplify (+ 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.457 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.458 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.458 * [taylor]: Taking taylor expansion of 1/2 in U 1.458 * [backup-simplify]: Simplify 1/2 into 1/2 1.458 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.459 * [taylor]: Taking taylor expansion of J in U 1.459 * [backup-simplify]: Simplify J into J 1.459 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.459 * [taylor]: Taking taylor expansion of U in U 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.459 * [taylor]: Taking taylor expansion of 1/2 in U 1.459 * [backup-simplify]: Simplify 1/2 into 1/2 1.459 * [taylor]: Taking taylor expansion of K in U 1.459 * [backup-simplify]: Simplify K into K 1.459 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.459 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.459 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.459 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.460 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.460 * [backup-simplify]: Simplify (+ 0) into 0 1.461 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.463 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.464 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.464 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.464 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.464 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.465 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.465 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.466 * [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 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.471 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.473 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.475 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.475 * [backup-simplify]: Simplify (- 0) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.478 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.479 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.479 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.479 * [taylor]: Taking taylor expansion of 1/2 in U 1.479 * [backup-simplify]: Simplify 1/2 into 1/2 1.479 * [taylor]: Taking taylor expansion of K in U 1.479 * [backup-simplify]: Simplify K into K 1.479 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.479 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.479 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.479 * [taylor]: Taking taylor expansion of J in U 1.479 * [backup-simplify]: Simplify J into J 1.479 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.480 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.480 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.480 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.480 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.480 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.480 * [taylor]: Taking taylor expansion of -2 in U 1.480 * [backup-simplify]: Simplify -2 into -2 1.480 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.481 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.481 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.481 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.481 * [taylor]: Taking taylor expansion of 1 in U 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [taylor]: Taking taylor expansion of 1 in U 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.481 * [taylor]: Taking taylor expansion of 1/2 in U 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.481 * [taylor]: Taking taylor expansion of J in U 1.481 * [backup-simplify]: Simplify J into J 1.481 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.481 * [taylor]: Taking taylor expansion of U in U 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.481 * [taylor]: Taking taylor expansion of 1/2 in U 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of K in U 1.481 * [backup-simplify]: Simplify K into K 1.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.481 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.481 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.482 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.482 * [backup-simplify]: Simplify (- 0) into 0 1.482 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.482 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.483 * [backup-simplify]: Simplify (+ 0) into 0 1.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.485 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.486 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.486 * [taylor]: Taking taylor expansion of 1/2 in U 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.486 * [taylor]: Taking taylor expansion of J in U 1.486 * [backup-simplify]: Simplify J into J 1.486 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.486 * [taylor]: Taking taylor expansion of U in U 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.486 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.486 * [taylor]: Taking taylor expansion of 1/2 in U 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of K in U 1.486 * [backup-simplify]: Simplify K into K 1.486 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.486 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.486 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.486 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.486 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.487 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.487 * [backup-simplify]: Simplify (+ 0) into 0 1.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.490 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.491 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.491 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.491 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) 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)))) 1.492 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.493 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.493 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.494 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.498 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.501 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.502 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.503 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.503 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.503 * [taylor]: Taking taylor expansion of 1/2 in U 1.503 * [backup-simplify]: Simplify 1/2 into 1/2 1.503 * [taylor]: Taking taylor expansion of K in U 1.503 * [backup-simplify]: Simplify K into K 1.503 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.503 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.503 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.503 * [taylor]: Taking taylor expansion of J in U 1.503 * [backup-simplify]: Simplify J into J 1.503 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.503 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.504 * [backup-simplify]: Simplify (- 0) into 0 1.504 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.504 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.504 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.505 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.505 * [taylor]: Taking taylor expansion of -1 in J 1.505 * [backup-simplify]: Simplify -1 into -1 1.505 * [backup-simplify]: Simplify (+ 0) into 0 1.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.510 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.511 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.511 * [taylor]: Taking taylor expansion of 0 in J 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [taylor]: Taking taylor expansion of -1 in K 1.511 * [backup-simplify]: Simplify -1 into -1 1.511 * [backup-simplify]: Simplify -1 into -1 1.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.513 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.513 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.514 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.514 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.522 * [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 1.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.524 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.527 * [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 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.530 * [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 1.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.531 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 1.531 * [backup-simplify]: Simplify (+ 1 0) into 1 1.532 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.533 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 1.533 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.534 * [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)))) 1.534 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.534 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.534 * [taylor]: Taking taylor expansion of 2 in J 1.534 * [backup-simplify]: Simplify 2 into 2 1.534 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.534 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.534 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.534 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.534 * [taylor]: Taking taylor expansion of 1/2 in J 1.534 * [backup-simplify]: Simplify 1/2 into 1/2 1.534 * [taylor]: Taking taylor expansion of K in J 1.534 * [backup-simplify]: Simplify K into K 1.535 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.535 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.535 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.535 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.535 * [taylor]: Taking taylor expansion of J in J 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.536 * [backup-simplify]: Simplify (+ 0) into 0 1.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.538 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.541 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.542 * [taylor]: Taking taylor expansion of 0 in K 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [taylor]: Taking taylor expansion of 0 in K 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [taylor]: Taking taylor expansion of 0 in K 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.544 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.545 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.546 * [backup-simplify]: Simplify (- 0) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.550 * [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 1.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.556 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.558 * [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 1.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.560 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.562 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.564 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.564 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.565 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.565 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.565 * [taylor]: Taking taylor expansion of 0 in J 1.565 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.568 * [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 0) (* 0 (cos (/ 1/2 K))))) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.570 * [backup-simplify]: Simplify (- 0) into 0 1.570 * [taylor]: Taking taylor expansion of 0 in K 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [taylor]: Taking taylor expansion of 0 in K 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.571 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 1.571 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 1.571 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 1.571 * [taylor]: Taking taylor expansion of 2 in K 1.571 * [backup-simplify]: Simplify 2 into 2 1.571 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 1.571 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.571 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.571 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.571 * [taylor]: Taking taylor expansion of -1/2 in K 1.571 * [backup-simplify]: Simplify -1/2 into -1/2 1.571 * [taylor]: Taking taylor expansion of K in K 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.571 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.572 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.572 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.572 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.572 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.572 * [taylor]: Taking taylor expansion of 1 in K 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of 1 in K 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.572 * [taylor]: Taking taylor expansion of 1/2 in K 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.572 * [taylor]: Taking taylor expansion of J in K 1.572 * [backup-simplify]: Simplify J into J 1.572 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.572 * [taylor]: Taking taylor expansion of -1/2 in K 1.572 * [backup-simplify]: Simplify -1/2 into -1/2 1.572 * [taylor]: Taking taylor expansion of K in K 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.572 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.572 * [taylor]: Taking taylor expansion of U in K 1.572 * [backup-simplify]: Simplify U into U 1.572 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.572 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.572 * [taylor]: Taking taylor expansion of 1/2 in K 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.573 * [taylor]: Taking taylor expansion of J in K 1.573 * [backup-simplify]: Simplify J into J 1.573 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.573 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.573 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.573 * [taylor]: Taking taylor expansion of -1/2 in K 1.573 * [backup-simplify]: Simplify -1/2 into -1/2 1.573 * [taylor]: Taking taylor expansion of K in K 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.573 * [taylor]: Taking taylor expansion of U in K 1.573 * [backup-simplify]: Simplify U into U 1.573 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.573 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.573 * [backup-simplify]: Simplify (* 1 1) into 1 1.573 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.574 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.574 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.574 * [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))))) 1.574 * [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)))))) 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.575 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.575 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.577 * [taylor]: Taking taylor expansion of J in K 1.577 * [backup-simplify]: Simplify J into J 1.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.577 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.577 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 1.577 * [taylor]: Taking taylor expansion of 2 in J 1.577 * [backup-simplify]: Simplify 2 into 2 1.577 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 1.577 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.577 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.577 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.577 * [taylor]: Taking taylor expansion of -1/2 in J 1.577 * [backup-simplify]: Simplify -1/2 into -1/2 1.577 * [taylor]: Taking taylor expansion of K in J 1.577 * [backup-simplify]: Simplify K into K 1.577 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.577 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.577 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.577 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.578 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.578 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.578 * [taylor]: Taking taylor expansion of 1 in J 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [taylor]: Taking taylor expansion of 1 in J 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.578 * [taylor]: Taking taylor expansion of 1/2 in J 1.578 * [backup-simplify]: Simplify 1/2 into 1/2 1.578 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.578 * [taylor]: Taking taylor expansion of J in J 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.578 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.578 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.578 * [taylor]: Taking taylor expansion of -1/2 in J 1.578 * [backup-simplify]: Simplify -1/2 into -1/2 1.578 * [taylor]: Taking taylor expansion of K in J 1.578 * [backup-simplify]: Simplify K into K 1.578 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.578 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.578 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.578 * [taylor]: Taking taylor expansion of U in J 1.578 * [backup-simplify]: Simplify U into U 1.578 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.578 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.579 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.579 * [taylor]: Taking taylor expansion of 1/2 in J 1.579 * [backup-simplify]: Simplify 1/2 into 1/2 1.579 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.579 * [taylor]: Taking taylor expansion of J in J 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.579 * [taylor]: Taking taylor expansion of -1/2 in J 1.579 * [backup-simplify]: Simplify -1/2 into -1/2 1.579 * [taylor]: Taking taylor expansion of K in J 1.579 * [backup-simplify]: Simplify K into K 1.579 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.579 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.579 * [taylor]: Taking taylor expansion of U in J 1.579 * [backup-simplify]: Simplify U into U 1.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.579 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.580 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.580 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (+ 1 0) into 1 1.580 * [backup-simplify]: Simplify (sqrt 1) into 1 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.581 * [taylor]: Taking taylor expansion of J in J 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.582 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.582 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.582 * [taylor]: Taking taylor expansion of 2 in U 1.582 * [backup-simplify]: Simplify 2 into 2 1.582 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.582 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.582 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.582 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.582 * [taylor]: Taking taylor expansion of -1/2 in U 1.582 * [backup-simplify]: Simplify -1/2 into -1/2 1.582 * [taylor]: Taking taylor expansion of K in U 1.582 * [backup-simplify]: Simplify K into K 1.582 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.582 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.582 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.582 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.582 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.583 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.583 * [taylor]: Taking taylor expansion of 1 in U 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [taylor]: Taking taylor expansion of 1 in U 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.583 * [taylor]: Taking taylor expansion of 1/2 in U 1.583 * [backup-simplify]: Simplify 1/2 into 1/2 1.583 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.583 * [taylor]: Taking taylor expansion of J in U 1.583 * [backup-simplify]: Simplify J into J 1.583 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.583 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.583 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.583 * [taylor]: Taking taylor expansion of -1/2 in U 1.583 * [backup-simplify]: Simplify -1/2 into -1/2 1.583 * [taylor]: Taking taylor expansion of K in U 1.583 * [backup-simplify]: Simplify K into K 1.583 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.583 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.583 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.583 * [taylor]: Taking taylor expansion of U in U 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.583 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.584 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.586 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.586 * [taylor]: Taking taylor expansion of 1/2 in U 1.586 * [backup-simplify]: Simplify 1/2 into 1/2 1.586 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.586 * [taylor]: Taking taylor expansion of J in U 1.586 * [backup-simplify]: Simplify J into J 1.586 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.586 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.586 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.586 * [taylor]: Taking taylor expansion of -1/2 in U 1.586 * [backup-simplify]: Simplify -1/2 into -1/2 1.586 * [taylor]: Taking taylor expansion of K in U 1.586 * [backup-simplify]: Simplify K into K 1.586 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.586 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.586 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.586 * [taylor]: Taking taylor expansion of U in U 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.587 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.587 * [backup-simplify]: Simplify (- 0) into 0 1.587 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.587 * [backup-simplify]: Simplify (+ 0) into 0 1.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.589 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.589 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.589 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.590 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.590 * [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))) 1.590 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.590 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.593 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.594 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.595 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.595 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.596 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.597 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.597 * [taylor]: Taking taylor expansion of J in U 1.597 * [backup-simplify]: Simplify J into J 1.597 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.597 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.598 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.598 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.598 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.598 * [taylor]: Taking taylor expansion of 2 in U 1.598 * [backup-simplify]: Simplify 2 into 2 1.598 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.598 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.598 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.598 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.598 * [taylor]: Taking taylor expansion of -1/2 in U 1.598 * [backup-simplify]: Simplify -1/2 into -1/2 1.598 * [taylor]: Taking taylor expansion of K in U 1.598 * [backup-simplify]: Simplify K into K 1.598 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.598 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.598 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.598 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.598 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.598 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.598 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.598 * [taylor]: Taking taylor expansion of 1 in U 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of 1 in U 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.598 * [taylor]: Taking taylor expansion of 1/2 in U 1.598 * [backup-simplify]: Simplify 1/2 into 1/2 1.598 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.598 * [taylor]: Taking taylor expansion of J in U 1.598 * [backup-simplify]: Simplify J into J 1.598 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.598 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.598 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.598 * [taylor]: Taking taylor expansion of -1/2 in U 1.598 * [backup-simplify]: Simplify -1/2 into -1/2 1.598 * [taylor]: Taking taylor expansion of K in U 1.598 * [backup-simplify]: Simplify K into K 1.599 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.599 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.599 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.599 * [taylor]: Taking taylor expansion of U in U 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.599 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.599 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.599 * [backup-simplify]: Simplify (+ 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.600 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.601 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.601 * [taylor]: Taking taylor expansion of 1/2 in U 1.601 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.602 * [taylor]: Taking taylor expansion of J in U 1.602 * [backup-simplify]: Simplify J into J 1.602 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.602 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.602 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.602 * [taylor]: Taking taylor expansion of -1/2 in U 1.602 * [backup-simplify]: Simplify -1/2 into -1/2 1.602 * [taylor]: Taking taylor expansion of K in U 1.602 * [backup-simplify]: Simplify K into K 1.602 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.602 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.602 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.602 * [taylor]: Taking taylor expansion of U in U 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.602 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.602 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.602 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.603 * [backup-simplify]: Simplify (+ 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.605 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.605 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.605 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.605 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.605 * [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))) 1.605 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.607 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.608 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.609 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.610 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.612 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.612 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.613 * [taylor]: Taking taylor expansion of J in U 1.613 * [backup-simplify]: Simplify J into J 1.613 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.613 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.613 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.613 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.614 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.614 * [taylor]: Taking taylor expansion of 1 in J 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (+ 0) into 0 1.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.617 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.618 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.618 * [taylor]: Taking taylor expansion of 0 in J 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [taylor]: Taking taylor expansion of 1 in K 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.622 * [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 1.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.623 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.625 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.625 * [backup-simplify]: Simplify (- 0) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.626 * [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 1.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 1.627 * [backup-simplify]: Simplify (+ 1 0) into 1 1.628 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.628 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.629 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.629 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 1.631 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.632 * [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))) 1.632 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.632 * [taylor]: Taking taylor expansion of 2 in J 1.632 * [backup-simplify]: Simplify 2 into 2 1.632 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.632 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.632 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.632 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.632 * [taylor]: Taking taylor expansion of -1/2 in J 1.632 * [backup-simplify]: Simplify -1/2 into -1/2 1.632 * [taylor]: Taking taylor expansion of K in J 1.632 * [backup-simplify]: Simplify K into K 1.632 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.632 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.632 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.632 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.632 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.633 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.633 * [taylor]: Taking taylor expansion of J in J 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.633 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.633 * [backup-simplify]: Simplify (+ 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.637 * [taylor]: Taking taylor expansion of 0 in K 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [taylor]: Taking taylor expansion of 0 in K 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [taylor]: Taking taylor expansion of 0 in K 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [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 1.639 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.640 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.642 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.644 * [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 1.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.646 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.647 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.649 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.652 * [backup-simplify]: Simplify (- 0) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.653 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.654 * [taylor]: Taking taylor expansion of 0 in J 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.656 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.656 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.657 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.657 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.662 * [taylor]: Taking taylor expansion of 0 in K 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [taylor]: Taking taylor expansion of 0 in K 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.663 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 1.663 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 1.663 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 1.663 * [taylor]: Taking taylor expansion of 2 in K 1.663 * [backup-simplify]: Simplify 2 into 2 1.663 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.663 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.663 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.663 * [taylor]: Taking taylor expansion of 1/2 in K 1.663 * [backup-simplify]: Simplify 1/2 into 1/2 1.663 * [taylor]: Taking taylor expansion of K in K 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.664 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.664 * [taylor]: Taking taylor expansion of J in K 1.664 * [backup-simplify]: Simplify J into J 1.664 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.664 * [taylor]: Taking taylor expansion of 2 in J 1.664 * [backup-simplify]: Simplify 2 into 2 1.664 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.664 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.664 * [taylor]: Taking taylor expansion of 1/2 in J 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [taylor]: Taking taylor expansion of K in J 1.664 * [backup-simplify]: Simplify K into K 1.664 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.664 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.665 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.665 * [taylor]: Taking taylor expansion of J in J 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.665 * [taylor]: Taking taylor expansion of 2 in J 1.665 * [backup-simplify]: Simplify 2 into 2 1.665 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.665 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.665 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.665 * [taylor]: Taking taylor expansion of 1/2 in J 1.665 * [backup-simplify]: Simplify 1/2 into 1/2 1.665 * [taylor]: Taking taylor expansion of K in J 1.665 * [backup-simplify]: Simplify K into K 1.665 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.665 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.665 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.665 * [taylor]: Taking taylor expansion of J in J 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.665 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.666 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.666 * [backup-simplify]: Simplify (* 2 0) into 0 1.666 * [taylor]: Taking taylor expansion of 0 in K 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.669 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.669 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.670 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 1.671 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.671 * [taylor]: Taking taylor expansion of 2 in K 1.671 * [backup-simplify]: Simplify 2 into 2 1.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.671 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.671 * [taylor]: Taking taylor expansion of 1/2 in K 1.671 * [backup-simplify]: Simplify 1/2 into 1/2 1.671 * [taylor]: Taking taylor expansion of K in K 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.672 * [backup-simplify]: Simplify (* 2 1) into 2 1.672 * [backup-simplify]: Simplify 2 into 2 1.672 * [backup-simplify]: Simplify 0 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 1.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 1) (* 0 0))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.678 * [taylor]: Taking taylor expansion of 0 in K 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (+ 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.684 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.685 * [backup-simplify]: Simplify (- 0) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 1.687 * [taylor]: Taking taylor expansion of 0 in K 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 1.687 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 1.687 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 1.688 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 1.688 * [taylor]: Taking taylor expansion of 2 in K 1.688 * [backup-simplify]: Simplify 2 into 2 1.688 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) 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 1.688 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.688 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.688 * [taylor]: Taking taylor expansion of J in K 1.688 * [backup-simplify]: Simplify J into J 1.688 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.688 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.688 * [taylor]: Taking taylor expansion of 2 in J 1.689 * [backup-simplify]: Simplify 2 into 2 1.689 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) 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)) 1.689 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 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 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.689 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.689 * [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 (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.690 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.690 * [taylor]: Taking taylor expansion of 2 in J 1.690 * [backup-simplify]: Simplify 2 into 2 1.690 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.690 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.690 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.690 * [taylor]: Taking taylor expansion of 1/2 in J 1.690 * [backup-simplify]: Simplify 1/2 into 1/2 1.690 * [taylor]: Taking taylor expansion of K in J 1.690 * [backup-simplify]: Simplify K into K 1.690 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.690 * [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 * [taylor]: Taking taylor expansion of J in J 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 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 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.691 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.691 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.691 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.691 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 1.691 * [taylor]: Taking taylor expansion of 2 in K 1.691 * [backup-simplify]: Simplify 2 into 2 1.691 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.691 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.691 * [taylor]: Taking taylor expansion of 1/2 in K 1.691 * [backup-simplify]: Simplify 1/2 into 1/2 1.691 * [taylor]: Taking taylor expansion of K in K 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.692 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.692 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.692 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.692 * [backup-simplify]: Simplify (+ 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.695 * [backup-simplify]: Simplify (- 0) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.696 * [taylor]: Taking taylor expansion of 0 in K 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.699 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.700 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.703 * [taylor]: Taking taylor expansion of 0 in K 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in K 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 1.714 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 1.714 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 1.714 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 1.714 * [taylor]: Taking taylor expansion of -2 in K 1.714 * [backup-simplify]: Simplify -2 into -2 1.714 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.714 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.714 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.714 * [taylor]: Taking taylor expansion of -1/2 in K 1.714 * [backup-simplify]: Simplify -1/2 into -1/2 1.714 * [taylor]: Taking taylor expansion of K in K 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.715 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.715 * [taylor]: Taking taylor expansion of J in K 1.715 * [backup-simplify]: Simplify J into J 1.715 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.715 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.715 * [taylor]: Taking taylor expansion of -2 in J 1.715 * [backup-simplify]: Simplify -2 into -2 1.715 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.715 * [taylor]: Taking taylor expansion of -1/2 in J 1.715 * [backup-simplify]: Simplify -1/2 into -1/2 1.715 * [taylor]: Taking taylor expansion of K in J 1.715 * [backup-simplify]: Simplify K into K 1.715 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.716 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.716 * [taylor]: Taking taylor expansion of J in J 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.716 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.717 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.717 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.717 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.717 * [taylor]: Taking taylor expansion of -2 in J 1.717 * [backup-simplify]: Simplify -2 into -2 1.717 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.717 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.717 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.717 * [taylor]: Taking taylor expansion of -1/2 in J 1.717 * [backup-simplify]: Simplify -1/2 into -1/2 1.717 * [taylor]: Taking taylor expansion of K in J 1.717 * [backup-simplify]: Simplify K into K 1.717 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.717 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.717 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.717 * [taylor]: Taking taylor expansion of J in J 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.717 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.718 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.718 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.718 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 1.718 * [taylor]: Taking taylor expansion of -2 in K 1.718 * [backup-simplify]: Simplify -2 into -2 1.718 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.718 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.718 * [taylor]: Taking taylor expansion of -1/2 in K 1.718 * [backup-simplify]: Simplify -1/2 into -1/2 1.718 * [taylor]: Taking taylor expansion of K in K 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.718 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.718 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.718 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.719 * [backup-simplify]: Simplify (+ 0) into 0 1.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.721 * [taylor]: Taking taylor expansion of 0 in K 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.724 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.726 * [taylor]: Taking taylor expansion of 0 in K 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.731 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.731 * [backup-simplify]: Simplify (- 0) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.734 * [taylor]: Taking taylor expansion of 0 in K 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 1.734 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.734 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.734 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 1.734 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.734 * [taylor]: Taking taylor expansion of -2 in J 1.734 * [backup-simplify]: Simplify -2 into -2 1.734 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.734 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.734 * [taylor]: Taking taylor expansion of 1/2 in J 1.734 * [backup-simplify]: Simplify 1/2 into 1/2 1.734 * [taylor]: Taking taylor expansion of K in J 1.734 * [backup-simplify]: Simplify K into K 1.734 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.734 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.734 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.734 * [taylor]: Taking taylor expansion of J in J 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.734 * [taylor]: Taking taylor expansion of -2 in K 1.734 * [backup-simplify]: Simplify -2 into -2 1.734 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.734 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.735 * [taylor]: Taking taylor expansion of 1/2 in K 1.735 * [backup-simplify]: Simplify 1/2 into 1/2 1.735 * [taylor]: Taking taylor expansion of K in K 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.736 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.736 * [taylor]: Taking taylor expansion of J in K 1.736 * [backup-simplify]: Simplify J into J 1.736 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.736 * [taylor]: Taking taylor expansion of -2 in K 1.736 * [backup-simplify]: Simplify -2 into -2 1.736 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.736 * [taylor]: Taking taylor expansion of 1/2 in K 1.736 * [backup-simplify]: Simplify 1/2 into 1/2 1.736 * [taylor]: Taking taylor expansion of K in K 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.737 * [taylor]: Taking taylor expansion of J in K 1.737 * [backup-simplify]: Simplify J into J 1.737 * [backup-simplify]: Simplify (* 1 J) into J 1.737 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.737 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.737 * [taylor]: Taking taylor expansion of -2 in J 1.737 * [backup-simplify]: Simplify -2 into -2 1.737 * [taylor]: Taking taylor expansion of J in J 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (* -2 0) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ 0) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.738 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in J 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.739 * [backup-simplify]: Simplify -2 into -2 1.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.741 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.741 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.741 * [taylor]: Taking taylor expansion of 1/4 in J 1.741 * [backup-simplify]: Simplify 1/4 into 1/4 1.741 * [taylor]: Taking taylor expansion of J in J 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.743 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.744 * [taylor]: Taking taylor expansion of 0 in J 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 1.745 * [backup-simplify]: Simplify 1/4 into 1/4 1.745 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.748 * [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 1.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.749 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 1.749 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 1.750 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 1.750 * [taylor]: Taking taylor expansion of 1/192 in J 1.750 * [backup-simplify]: Simplify 1/192 into 1/192 1.750 * [taylor]: Taking taylor expansion of J in J 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (* 1/192 0) into 0 1.750 * [backup-simplify]: Simplify (- 0) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 1.751 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.751 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 1.751 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.751 * [taylor]: Taking taylor expansion of -2 in J 1.751 * [backup-simplify]: Simplify -2 into -2 1.751 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.751 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.751 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.751 * [taylor]: Taking taylor expansion of 1/2 in J 1.751 * [backup-simplify]: Simplify 1/2 into 1/2 1.751 * [taylor]: Taking taylor expansion of K in J 1.751 * [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)) 1.752 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.752 * [taylor]: Taking taylor expansion of J in J 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.752 * [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 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.752 * [taylor]: Taking taylor expansion of -2 in K 1.752 * [backup-simplify]: Simplify -2 into -2 1.752 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.752 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.752 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.752 * [taylor]: Taking taylor expansion of 1/2 in K 1.752 * [backup-simplify]: Simplify 1/2 into 1/2 1.752 * [taylor]: Taking taylor expansion of K in K 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.753 * [taylor]: Taking taylor expansion of J in K 1.753 * [backup-simplify]: Simplify J into J 1.753 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.753 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.753 * [taylor]: Taking taylor expansion of -2 in K 1.753 * [backup-simplify]: Simplify -2 into -2 1.753 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.753 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.753 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.753 * [taylor]: Taking taylor expansion of 1/2 in K 1.753 * [backup-simplify]: Simplify 1/2 into 1/2 1.753 * [taylor]: Taking taylor expansion of K in K 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.753 * [taylor]: Taking taylor expansion of J in K 1.753 * [backup-simplify]: Simplify J into J 1.753 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.753 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.754 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.754 * [taylor]: Taking taylor expansion of -2 in J 1.754 * [backup-simplify]: Simplify -2 into -2 1.754 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.754 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.754 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.754 * [taylor]: Taking taylor expansion of 1/2 in J 1.754 * [backup-simplify]: Simplify 1/2 into 1/2 1.754 * [taylor]: Taking taylor expansion of K in J 1.754 * [backup-simplify]: Simplify K into K 1.754 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.754 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.754 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.754 * [taylor]: Taking taylor expansion of J in J 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.754 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.754 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.754 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.754 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.755 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.755 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.755 * [taylor]: Taking taylor expansion of 0 in J 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (+ 0) into 0 1.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.756 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.757 * [backup-simplify]: Simplify (- 0) into 0 1.757 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* -2 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 (+ (* -2 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 1.761 * [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 1.762 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.763 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.763 * [backup-simplify]: Simplify (- 0) into 0 1.764 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.768 * [taylor]: Taking taylor expansion of 0 in J 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.773 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.778 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.778 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.778 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.778 * [taylor]: Taking taylor expansion of 2 in J 1.778 * [backup-simplify]: Simplify 2 into 2 1.778 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.778 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.778 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.778 * [taylor]: Taking taylor expansion of -1/2 in J 1.778 * [backup-simplify]: Simplify -1/2 into -1/2 1.778 * [taylor]: Taking taylor expansion of K in J 1.778 * [backup-simplify]: Simplify K into K 1.778 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.778 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.778 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.778 * [taylor]: Taking taylor expansion of J in J 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.779 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.779 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.780 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.780 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.780 * [taylor]: Taking taylor expansion of 2 in K 1.780 * [backup-simplify]: Simplify 2 into 2 1.780 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.780 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.780 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.780 * [taylor]: Taking taylor expansion of -1/2 in K 1.780 * [backup-simplify]: Simplify -1/2 into -1/2 1.780 * [taylor]: Taking taylor expansion of K in K 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.780 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.780 * [taylor]: Taking taylor expansion of J in K 1.780 * [backup-simplify]: Simplify J into J 1.781 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.781 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.781 * [taylor]: Taking taylor expansion of 2 in K 1.781 * [backup-simplify]: Simplify 2 into 2 1.781 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.781 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.781 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.781 * [taylor]: Taking taylor expansion of -1/2 in K 1.781 * [backup-simplify]: Simplify -1/2 into -1/2 1.781 * [taylor]: Taking taylor expansion of K in K 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.781 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.782 * [taylor]: Taking taylor expansion of J in K 1.782 * [backup-simplify]: Simplify J into J 1.782 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.782 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.782 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.782 * [taylor]: Taking taylor expansion of 2 in J 1.782 * [backup-simplify]: Simplify 2 into 2 1.782 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.782 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.782 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.782 * [taylor]: Taking taylor expansion of -1/2 in J 1.782 * [backup-simplify]: Simplify -1/2 into -1/2 1.782 * [taylor]: Taking taylor expansion of K in J 1.782 * [backup-simplify]: Simplify K into K 1.782 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.782 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.782 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.782 * [taylor]: Taking taylor expansion of J in J 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.783 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.784 * [backup-simplify]: Simplify (- 0) into 0 1.784 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.784 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.784 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.784 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.784 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.785 * [taylor]: Taking taylor expansion of 0 in J 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ 0) into 0 1.786 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.787 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.789 * [taylor]: Taking taylor expansion of 0 in J 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.790 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.790 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.791 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.794 * [taylor]: Taking taylor expansion of 0 in J 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.799 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.799 * [backup-simplify]: Simplify (/ U (* (* J 2) (cos (/ K 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.799 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 1.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.799 * [taylor]: Taking taylor expansion of 1/2 in K 1.799 * [backup-simplify]: Simplify 1/2 into 1/2 1.799 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.799 * [taylor]: Taking taylor expansion of U in K 1.799 * [backup-simplify]: Simplify U into U 1.799 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.799 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.799 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.799 * [taylor]: Taking taylor expansion of 1/2 in K 1.799 * [backup-simplify]: Simplify 1/2 into 1/2 1.799 * [taylor]: Taking taylor expansion of K in K 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.800 * [taylor]: Taking taylor expansion of J in K 1.800 * [backup-simplify]: Simplify J into J 1.800 * [backup-simplify]: Simplify (* 1 J) into J 1.800 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.800 * [taylor]: Taking taylor expansion of 1/2 in J 1.800 * [backup-simplify]: Simplify 1/2 into 1/2 1.800 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.800 * [taylor]: Taking taylor expansion of U in J 1.800 * [backup-simplify]: Simplify U into U 1.800 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.800 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.800 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.800 * [taylor]: Taking taylor expansion of 1/2 in J 1.800 * [backup-simplify]: Simplify 1/2 into 1/2 1.800 * [taylor]: Taking taylor expansion of K in J 1.800 * [backup-simplify]: Simplify K into K 1.800 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.800 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.800 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.800 * [taylor]: Taking taylor expansion of J in J 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.800 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.801 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.801 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.801 * [backup-simplify]: Simplify (+ 0) into 0 1.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.803 * [backup-simplify]: Simplify (- 0) into 0 1.803 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.803 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.803 * [taylor]: Taking taylor expansion of 1/2 in U 1.803 * [backup-simplify]: Simplify 1/2 into 1/2 1.803 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.803 * [taylor]: Taking taylor expansion of U in U 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.803 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.803 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.803 * [taylor]: Taking taylor expansion of 1/2 in U 1.803 * [backup-simplify]: Simplify 1/2 into 1/2 1.803 * [taylor]: Taking taylor expansion of K in U 1.803 * [backup-simplify]: Simplify K into K 1.803 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.804 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.804 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.804 * [taylor]: Taking taylor expansion of J in U 1.804 * [backup-simplify]: Simplify J into J 1.804 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.804 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.804 * [backup-simplify]: Simplify (- 0) into 0 1.804 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.804 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.804 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.804 * [taylor]: Taking taylor expansion of 1/2 in U 1.804 * [backup-simplify]: Simplify 1/2 into 1/2 1.804 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.804 * [taylor]: Taking taylor expansion of U in U 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.804 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.804 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.804 * [taylor]: Taking taylor expansion of 1/2 in U 1.804 * [backup-simplify]: Simplify 1/2 into 1/2 1.804 * [taylor]: Taking taylor expansion of K in U 1.804 * [backup-simplify]: Simplify K into K 1.804 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.804 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.804 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.804 * [taylor]: Taking taylor expansion of J in U 1.804 * [backup-simplify]: Simplify J into J 1.805 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.805 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.805 * [backup-simplify]: Simplify (- 0) into 0 1.805 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.805 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.805 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.805 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.805 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 1.805 * [taylor]: Taking taylor expansion of 1/2 in J 1.805 * [backup-simplify]: Simplify 1/2 into 1/2 1.805 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.805 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.805 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.805 * [taylor]: Taking taylor expansion of 1/2 in J 1.805 * [backup-simplify]: Simplify 1/2 into 1/2 1.805 * [taylor]: Taking taylor expansion of K in J 1.805 * [backup-simplify]: Simplify K into K 1.805 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.805 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.805 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.805 * [taylor]: Taking taylor expansion of J in J 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.806 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.806 * [backup-simplify]: Simplify (- 0) into 0 1.806 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.806 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.806 * [backup-simplify]: Simplify (+ 0) into 0 1.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.808 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.808 * [backup-simplify]: Simplify (- 0) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.808 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 1.808 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 1.808 * [taylor]: Taking taylor expansion of 1/2 in K 1.808 * [backup-simplify]: Simplify 1/2 into 1/2 1.808 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.808 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.808 * [taylor]: Taking taylor expansion of 1/2 in K 1.808 * [backup-simplify]: Simplify 1/2 into 1/2 1.808 * [taylor]: Taking taylor expansion of K in K 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.809 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.810 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.810 * [backup-simplify]: Simplify 1/2 into 1/2 1.810 * [backup-simplify]: Simplify (+ 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.813 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.814 * [taylor]: Taking taylor expansion of 0 in J 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.816 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.818 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in K 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (+ 0) into 0 1.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.823 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.825 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.826 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.827 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 1.828 * [taylor]: Taking taylor expansion of 0 in J 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [taylor]: Taking taylor expansion of 0 in K 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.834 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.837 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.837 * [taylor]: Taking taylor expansion of 0 in K 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 1.839 * [backup-simplify]: Simplify 1/16 into 1/16 1.841 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.845 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.847 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 1.849 * [taylor]: Taking taylor expansion of 0 in J 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [taylor]: Taking taylor expansion of 0 in K 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [taylor]: Taking taylor expansion of 0 in K 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.853 * [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 1.855 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.858 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.858 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.861 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in K 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 1.862 * [backup-simplify]: Simplify (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.862 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 1.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.862 * [taylor]: Taking taylor expansion of 1/2 in K 1.862 * [backup-simplify]: Simplify 1/2 into 1/2 1.862 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.862 * [taylor]: Taking taylor expansion of J in K 1.862 * [backup-simplify]: Simplify J into J 1.862 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.862 * [taylor]: Taking taylor expansion of U in K 1.862 * [backup-simplify]: Simplify U into U 1.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.862 * [taylor]: Taking taylor expansion of 1/2 in K 1.862 * [backup-simplify]: Simplify 1/2 into 1/2 1.862 * [taylor]: Taking taylor expansion of K in K 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.863 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.863 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.863 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.863 * [taylor]: Taking taylor expansion of 1/2 in J 1.863 * [backup-simplify]: Simplify 1/2 into 1/2 1.863 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.863 * [taylor]: Taking taylor expansion of J in J 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.863 * [taylor]: Taking taylor expansion of U in J 1.863 * [backup-simplify]: Simplify U into U 1.863 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.863 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.863 * [taylor]: Taking taylor expansion of 1/2 in J 1.863 * [backup-simplify]: Simplify 1/2 into 1/2 1.863 * [taylor]: Taking taylor expansion of K in J 1.863 * [backup-simplify]: Simplify K into K 1.864 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.864 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.864 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.864 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.864 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.864 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.865 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.865 * [taylor]: Taking taylor expansion of 1/2 in U 1.865 * [backup-simplify]: Simplify 1/2 into 1/2 1.865 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.865 * [taylor]: Taking taylor expansion of J in U 1.865 * [backup-simplify]: Simplify J into J 1.865 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.865 * [taylor]: Taking taylor expansion of U in U 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.865 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.865 * [taylor]: Taking taylor expansion of 1/2 in U 1.865 * [backup-simplify]: Simplify 1/2 into 1/2 1.865 * [taylor]: Taking taylor expansion of K in U 1.865 * [backup-simplify]: Simplify K into K 1.865 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.865 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.865 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.865 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.865 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.866 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.866 * [backup-simplify]: Simplify (+ 0) into 0 1.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.870 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.870 * [taylor]: Taking taylor expansion of 1/2 in U 1.870 * [backup-simplify]: Simplify 1/2 into 1/2 1.870 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.870 * [taylor]: Taking taylor expansion of J in U 1.870 * [backup-simplify]: Simplify J into J 1.870 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.870 * [taylor]: Taking taylor expansion of U in U 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.870 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.870 * [taylor]: Taking taylor expansion of 1/2 in U 1.870 * [backup-simplify]: Simplify 1/2 into 1/2 1.870 * [taylor]: Taking taylor expansion of K in U 1.870 * [backup-simplify]: Simplify K into K 1.870 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.870 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.870 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.871 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.871 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.872 * [backup-simplify]: Simplify (+ 0) into 0 1.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.875 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.875 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.875 * [taylor]: Taking taylor expansion of 1/2 in J 1.876 * [backup-simplify]: Simplify 1/2 into 1/2 1.876 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.876 * [taylor]: Taking taylor expansion of J in J 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.876 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.876 * [taylor]: Taking taylor expansion of 1/2 in J 1.876 * [backup-simplify]: Simplify 1/2 into 1/2 1.876 * [taylor]: Taking taylor expansion of K in J 1.876 * [backup-simplify]: Simplify K into K 1.876 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.876 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.876 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.876 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.876 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.877 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.877 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.877 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.877 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.877 * [taylor]: Taking taylor expansion of 1/2 in K 1.877 * [backup-simplify]: Simplify 1/2 into 1/2 1.877 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.877 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.877 * [taylor]: Taking taylor expansion of 1/2 in K 1.877 * [backup-simplify]: Simplify 1/2 into 1/2 1.877 * [taylor]: Taking taylor expansion of K in K 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.878 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.878 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.878 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.881 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in J 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [taylor]: Taking taylor expansion of 0 in K 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ 0) into 0 1.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.886 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.887 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.888 * [taylor]: Taking taylor expansion of 0 in K 1.888 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.889 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.896 * [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 1.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.897 * [taylor]: Taking taylor expansion of 0 in J 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [taylor]: Taking taylor expansion of 0 in K 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [taylor]: Taking taylor expansion of 0 in K 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 1.902 * [taylor]: Taking taylor expansion of 0 in K 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.903 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.903 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 1.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.903 * [taylor]: Taking taylor expansion of 1/2 in K 1.903 * [backup-simplify]: Simplify 1/2 into 1/2 1.903 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.903 * [taylor]: Taking taylor expansion of J in K 1.903 * [backup-simplify]: Simplify J into J 1.903 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.903 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.903 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.903 * [taylor]: Taking taylor expansion of -1/2 in K 1.903 * [backup-simplify]: Simplify -1/2 into -1/2 1.903 * [taylor]: Taking taylor expansion of K in K 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.904 * [taylor]: Taking taylor expansion of U in K 1.904 * [backup-simplify]: Simplify U into U 1.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.904 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.904 * [taylor]: Taking taylor expansion of 1/2 in J 1.904 * [backup-simplify]: Simplify 1/2 into 1/2 1.904 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.904 * [taylor]: Taking taylor expansion of J in J 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.904 * [taylor]: Taking taylor expansion of -1/2 in J 1.904 * [backup-simplify]: Simplify -1/2 into -1/2 1.904 * [taylor]: Taking taylor expansion of K in J 1.904 * [backup-simplify]: Simplify K into K 1.904 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.905 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.905 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.905 * [taylor]: Taking taylor expansion of U in J 1.905 * [backup-simplify]: Simplify U into U 1.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.905 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.906 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.906 * [taylor]: Taking taylor expansion of 1/2 in U 1.906 * [backup-simplify]: Simplify 1/2 into 1/2 1.906 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.906 * [taylor]: Taking taylor expansion of J in U 1.906 * [backup-simplify]: Simplify J into J 1.906 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.906 * [taylor]: Taking taylor expansion of -1/2 in U 1.906 * [backup-simplify]: Simplify -1/2 into -1/2 1.906 * [taylor]: Taking taylor expansion of K in U 1.906 * [backup-simplify]: Simplify K into K 1.906 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.906 * [taylor]: Taking taylor expansion of U in U 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.907 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.908 * [backup-simplify]: Simplify (+ 0) into 0 1.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.909 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.912 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.912 * [taylor]: Taking taylor expansion of 1/2 in U 1.912 * [backup-simplify]: Simplify 1/2 into 1/2 1.912 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.912 * [taylor]: Taking taylor expansion of J in U 1.912 * [backup-simplify]: Simplify J into J 1.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.912 * [taylor]: Taking taylor expansion of -1/2 in U 1.912 * [backup-simplify]: Simplify -1/2 into -1/2 1.912 * [taylor]: Taking taylor expansion of K in U 1.912 * [backup-simplify]: Simplify K into K 1.912 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.912 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.912 * [taylor]: Taking taylor expansion of U in U 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.917 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.917 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.917 * [taylor]: Taking taylor expansion of 1/2 in J 1.917 * [backup-simplify]: Simplify 1/2 into 1/2 1.917 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.917 * [taylor]: Taking taylor expansion of J in J 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.917 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.917 * [taylor]: Taking taylor expansion of -1/2 in J 1.917 * [backup-simplify]: Simplify -1/2 into -1/2 1.917 * [taylor]: Taking taylor expansion of K in J 1.917 * [backup-simplify]: Simplify K into K 1.917 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.917 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.917 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.917 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.918 * [backup-simplify]: Simplify (- 0) into 0 1.918 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.918 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.918 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.918 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 1.918 * [taylor]: Taking taylor expansion of 1/2 in K 1.918 * [backup-simplify]: Simplify 1/2 into 1/2 1.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.918 * [taylor]: Taking taylor expansion of -1/2 in K 1.918 * [backup-simplify]: Simplify -1/2 into -1/2 1.918 * [taylor]: Taking taylor expansion of K in K 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.919 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.919 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.919 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.924 * [taylor]: Taking taylor expansion of 0 in J 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [taylor]: Taking taylor expansion of 0 in K 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ 0) into 0 1.925 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.927 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.928 * [taylor]: Taking taylor expansion of 0 in K 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.935 * [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 1.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.936 * [taylor]: Taking taylor expansion of 0 in J 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [taylor]: Taking taylor expansion of 0 in K 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [taylor]: Taking taylor expansion of 0 in K 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 1.941 * [taylor]: Taking taylor expansion of 0 in K 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.941 * * * [progress]: simplifying candidates 1.941 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 1.941 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 1.941 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 16 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 1.942 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 1.943 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 1.944 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 1.945 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 1.946 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 1.947 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 1.947 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 1.947 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 1.947 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 1.947 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 88 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 1.948 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 1.949 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 1.949 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 1.949 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 1.950 * [simplify]: Simplifying: (expm1 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (exp (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (expm1 (* (* J 2) (cos (/ K 2)))) (log1p (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))) (+ (+ (log J) (log 2)) (log (cos (/ K 2)))) (+ (log (* J 2)) (log (cos (/ K 2)))) (log (* (* J 2) (cos (/ K 2)))) (exp (* (* J 2) (cos (/ K 2)))) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2)))) (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* J 2) (sqrt (cos (/ K 2)))) (* (* J 2) 1) (* 2 (cos (/ K 2))) (expm1 (* (cos (/ K 2)) (* -2 J))) (log1p (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)) (+ (log (cos (/ K 2))) (+ (log -2) (log J))) (+ (log (cos (/ K 2))) (log (* -2 J))) (log (* (cos (/ K 2)) (* -2 J))) (exp (* (cos (/ K 2)) (* -2 J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))) (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) -2) (* (cbrt (cos (/ K 2))) (* -2 J)) (* (sqrt (cos (/ K 2))) (* -2 J)) (* (cos (/ K 2)) (* -2 J)) (expm1 (/ U (* (* J 2) (cos (/ K 2))))) (log1p (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))) (exp (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (- U) (- (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1 (* J 2)) (/ U (cos (/ K 2))) (/ 1 (* (* J 2) (cos (/ K 2)))) (/ (* (* J 2) (cos (/ K 2))) U) (/ U (* J 2)) (/ (* (* J 2) (cos (/ K 2))) (cbrt U)) (/ (* (* J 2) (cos (/ K 2))) (sqrt U)) (/ (* (* J 2) (cos (/ K 2))) U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (* 2 J) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) (- (* 1/4 (* (pow K 2) J)) (* 2 J)) (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.953 * * [simplify]: iteration 1: (158 enodes) 1.998 * * [simplify]: iteration 2: (410 enodes) 2.137 * * [simplify]: iteration 3: (1471 enodes) 5.352 * * [simplify]: Extracting #0: cost 63 inf + 0 5.354 * * [simplify]: Extracting #1: cost 1128 inf + 0 5.364 * * [simplify]: Extracting #2: cost 2648 inf + 2878 5.397 * * [simplify]: Extracting #3: cost 2245 inf + 52206 5.480 * * [simplify]: Extracting #4: cost 1144 inf + 296283 5.708 * * [simplify]: Extracting #5: cost 131 inf + 651744 5.942 * * [simplify]: Extracting #6: cost 0 inf + 711382 6.234 * * [simplify]: Extracting #7: cost 0 inf + 710582 6.478 * [simplify]: Simplified to: (expm1 (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log1p (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (exp (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cos (/ K 2))) (* (* (* (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cos (/ K 2))) (* (* (* (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cos (/ K 2))) (* (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cos (/ K 2))) (sqrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* -2 J) (* (cos (/ K 2)) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (expm1 (* (cos (/ K 2)) (* J 2))) (log1p (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)) (log (* (cos (/ K 2)) (* J 2))) (log (* (cos (/ K 2)) (* J 2))) (log (* (cos (/ K 2)) (* J 2))) (exp (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (cbrt (* (cos (/ K 2)) (* J 2))) (cbrt (* (cos (/ K 2)) (* J 2)))) (cbrt (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (sqrt (* (cos (/ K 2)) (* J 2))) (sqrt (* (cos (/ K 2)) (* J 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J 2))) (* (* 2 (sqrt (cos (/ K 2)))) J) (* J 2) (* 2 (cos (/ K 2))) (expm1 (* (cos (/ K 2)) (* -2 J))) (log1p (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)) (log (* (cos (/ K 2)) (* -2 J))) (log (* (cos (/ K 2)) (* -2 J))) (log (* (cos (/ K 2)) (* -2 J))) (exp (* (cos (/ K 2)) (* -2 J))) (* (* (* J J) J) (* (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))) -8)) (* (* (* J J) J) (* (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))) -8)) (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (* J J) J) (* (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))) -8)) (sqrt (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cos (/ K 2)) (* -2 J))) (* -2 (cos (/ K 2))) (* -2 (* (cbrt (cos (/ K 2))) J)) (* -2 (* (sqrt (cos (/ K 2))) J)) (* (cos (/ K 2)) (* -2 J)) (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (exp (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (- U) (* (cos (/ K 2)) (* -2 J)) (* (/ (cbrt U) J) (/ (cbrt U) 2)) (/ (cbrt U) (cos (/ K 2))) (/ (/ (sqrt U) J) 2) (/ (sqrt U) (cos (/ K 2))) (/ (/ 1 J) 2) (/ U (cos (/ K 2))) (/ (/ (/ 1 J) 2) (cos (/ K 2))) (* (cos (/ K 2)) (/ 2 (/ U J))) (/ (/ U J) 2) (/ (* (cos (/ K 2)) J) (/ (cbrt U) 2)) (/ 2 (/ (/ (sqrt U) (cos (/ K 2))) J)) (* (cos (/ K 2)) (/ 2 (/ U J))) (+ (* -2 J) (* -1/4 (/ (* U U) J))) (- U) (- U) (* J 2) (* (* J 2) (cos (* 1/2 K))) (* (* J 2) (cos (* 1/2 K))) (* J (- (* (* 1/4 K) K) 2)) (* (* -2 J) (cos (* 1/2 K))) (* (* -2 J) (cos (* 1/2 K))) (fma (/ U J) 1/2 (* (/ (* (* K K) 1/16) J) U)) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) 6.484 * * * [progress]: adding candidates to table 7.723 * * [progress]: iteration 2 / 4 7.723 * * * [progress]: picking best candidate 7.748 * * * * [pick]: Picked # 7.748 * * * [progress]: localizing error 7.775 * * * [progress]: generating rewritten candidates 7.775 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.806 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 7.827 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 7.853 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.868 * * * [progress]: generating series expansions 7.868 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.869 * [backup-simplify]: Simplify (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 7.869 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 7.869 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 7.869 * [taylor]: Taking taylor expansion of -2 in K 7.869 * [backup-simplify]: Simplify -2 into -2 7.869 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 7.869 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.869 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.869 * [taylor]: Taking taylor expansion of 1/2 in K 7.869 * [backup-simplify]: Simplify 1/2 into 1/2 7.869 * [taylor]: Taking taylor expansion of K in K 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 1 into 1 7.870 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.871 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.871 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 7.871 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.871 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 7.871 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.871 * [taylor]: Taking taylor expansion of 1 in K 7.871 * [backup-simplify]: Simplify 1 into 1 7.871 * [taylor]: Taking taylor expansion of 1 in K 7.871 * [backup-simplify]: Simplify 1 into 1 7.871 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.871 * [taylor]: Taking taylor expansion of 1/2 in K 7.871 * [backup-simplify]: Simplify 1/2 into 1/2 7.871 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.871 * [taylor]: Taking taylor expansion of U in K 7.871 * [backup-simplify]: Simplify U into U 7.871 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.871 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.871 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.871 * [taylor]: Taking taylor expansion of 1/2 in K 7.871 * [backup-simplify]: Simplify 1/2 into 1/2 7.871 * [taylor]: Taking taylor expansion of K in K 7.871 * [backup-simplify]: Simplify 0 into 0 7.871 * [backup-simplify]: Simplify 1 into 1 7.872 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.873 * [taylor]: Taking taylor expansion of J in K 7.873 * [backup-simplify]: Simplify J into J 7.873 * [backup-simplify]: Simplify (* 1 J) into J 7.873 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.873 * [taylor]: Taking taylor expansion of 1/2 in K 7.873 * [backup-simplify]: Simplify 1/2 into 1/2 7.873 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.873 * [taylor]: Taking taylor expansion of U in K 7.873 * [backup-simplify]: Simplify U into U 7.873 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.873 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.873 * [taylor]: Taking taylor expansion of 1/2 in K 7.873 * [backup-simplify]: Simplify 1/2 into 1/2 7.873 * [taylor]: Taking taylor expansion of K in K 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.874 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.874 * [taylor]: Taking taylor expansion of J in K 7.874 * [backup-simplify]: Simplify J into J 7.874 * [backup-simplify]: Simplify (* 1 J) into J 7.874 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.875 * [backup-simplify]: Simplify (* 1 1) into 1 7.875 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.875 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.875 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.875 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.876 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.877 * [backup-simplify]: Simplify (+ 0) into 0 7.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.877 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.878 * [backup-simplify]: Simplify (+ 0) into 0 7.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.879 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.879 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 7.880 * [backup-simplify]: Simplify (+ 0 0) into 0 7.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.880 * [taylor]: Taking taylor expansion of J in K 7.880 * [backup-simplify]: Simplify J into J 7.880 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 7.880 * [taylor]: Taking taylor expansion of -2 in J 7.880 * [backup-simplify]: Simplify -2 into -2 7.880 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 7.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.880 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.880 * [taylor]: Taking taylor expansion of 1/2 in J 7.880 * [backup-simplify]: Simplify 1/2 into 1/2 7.880 * [taylor]: Taking taylor expansion of K in J 7.880 * [backup-simplify]: Simplify K into K 7.880 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.881 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.881 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.881 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 7.881 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.881 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.881 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 7.881 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.881 * [taylor]: Taking taylor expansion of 1 in J 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [taylor]: Taking taylor expansion of 1 in J 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.881 * [taylor]: Taking taylor expansion of 1/2 in J 7.881 * [backup-simplify]: Simplify 1/2 into 1/2 7.881 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.881 * [taylor]: Taking taylor expansion of U in J 7.881 * [backup-simplify]: Simplify U into U 7.881 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.881 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.881 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.881 * [taylor]: Taking taylor expansion of 1/2 in J 7.881 * [backup-simplify]: Simplify 1/2 into 1/2 7.881 * [taylor]: Taking taylor expansion of K in J 7.881 * [backup-simplify]: Simplify K into K 7.881 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.881 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.881 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.881 * [taylor]: Taking taylor expansion of J in J 7.881 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.882 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.882 * [backup-simplify]: Simplify (- 0) into 0 7.882 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.882 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.883 * [backup-simplify]: Simplify (+ 0) into 0 7.883 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.885 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.885 * [backup-simplify]: Simplify (- 0) into 0 7.886 * [backup-simplify]: Simplify (+ 0 0) into 0 7.886 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.886 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 7.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.886 * [taylor]: Taking taylor expansion of 1/2 in J 7.886 * [backup-simplify]: Simplify 1/2 into 1/2 7.886 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.886 * [taylor]: Taking taylor expansion of U in J 7.886 * [backup-simplify]: Simplify U into U 7.886 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.886 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.886 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.886 * [taylor]: Taking taylor expansion of 1/2 in J 7.886 * [backup-simplify]: Simplify 1/2 into 1/2 7.886 * [taylor]: Taking taylor expansion of K in J 7.886 * [backup-simplify]: Simplify K into K 7.886 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.887 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.887 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.887 * [taylor]: Taking taylor expansion of J in J 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.887 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.887 * [backup-simplify]: Simplify (- 0) into 0 7.887 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.887 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.888 * [backup-simplify]: Simplify (+ 0) into 0 7.888 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.890 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.890 * [backup-simplify]: Simplify (- 0) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.891 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 7.891 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.891 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.892 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.892 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.892 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.893 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.894 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.896 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.896 * [backup-simplify]: Simplify (- 0) into 0 7.896 * [backup-simplify]: Simplify (+ 0 0) into 0 7.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.897 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.902 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.902 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.903 * [backup-simplify]: Simplify (- 0) into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.904 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.904 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.905 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 7.905 * [backup-simplify]: Simplify (+ 0 0) into 0 7.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.906 * [taylor]: Taking taylor expansion of J in J 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 7.906 * [taylor]: Taking taylor expansion of -2 in U 7.906 * [backup-simplify]: Simplify -2 into -2 7.906 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 7.906 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.906 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.906 * [taylor]: Taking taylor expansion of 1/2 in U 7.906 * [backup-simplify]: Simplify 1/2 into 1/2 7.906 * [taylor]: Taking taylor expansion of K in U 7.906 * [backup-simplify]: Simplify K into K 7.906 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.906 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.906 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.906 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 7.906 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.906 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.906 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.906 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.906 * [taylor]: Taking taylor expansion of 1 in U 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [taylor]: Taking taylor expansion of 1 in U 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.906 * [taylor]: Taking taylor expansion of 1/2 in U 7.906 * [backup-simplify]: Simplify 1/2 into 1/2 7.906 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.906 * [taylor]: Taking taylor expansion of U in U 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.907 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.907 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.907 * [taylor]: Taking taylor expansion of 1/2 in U 7.907 * [backup-simplify]: Simplify 1/2 into 1/2 7.907 * [taylor]: Taking taylor expansion of K in U 7.907 * [backup-simplify]: Simplify K into K 7.907 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.907 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.907 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.907 * [taylor]: Taking taylor expansion of J in U 7.907 * [backup-simplify]: Simplify J into J 7.907 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.907 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.908 * [backup-simplify]: Simplify (- 0) into 0 7.908 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.908 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.908 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.908 * [taylor]: Taking taylor expansion of 1/2 in U 7.908 * [backup-simplify]: Simplify 1/2 into 1/2 7.908 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.908 * [taylor]: Taking taylor expansion of U in U 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.908 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.908 * [taylor]: Taking taylor expansion of 1/2 in U 7.908 * [backup-simplify]: Simplify 1/2 into 1/2 7.908 * [taylor]: Taking taylor expansion of K in U 7.908 * [backup-simplify]: Simplify K into K 7.908 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.908 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.908 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.908 * [taylor]: Taking taylor expansion of J in U 7.908 * [backup-simplify]: Simplify J into J 7.908 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.909 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.909 * [backup-simplify]: Simplify (- 0) into 0 7.909 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.909 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.909 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.910 * [backup-simplify]: Simplify (* 1 1) into 1 7.910 * [backup-simplify]: Simplify (+ 1 0) into 1 7.910 * [backup-simplify]: Simplify (sqrt 1) into 1 7.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.912 * [taylor]: Taking taylor expansion of J in U 7.912 * [backup-simplify]: Simplify J into J 7.912 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 7.912 * [taylor]: Taking taylor expansion of -2 in U 7.912 * [backup-simplify]: Simplify -2 into -2 7.912 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 7.913 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.913 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.913 * [taylor]: Taking taylor expansion of 1/2 in U 7.913 * [backup-simplify]: Simplify 1/2 into 1/2 7.913 * [taylor]: Taking taylor expansion of K in U 7.913 * [backup-simplify]: Simplify K into K 7.913 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.913 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.913 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.913 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 7.913 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.913 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.913 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.913 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.913 * [taylor]: Taking taylor expansion of 1 in U 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [taylor]: Taking taylor expansion of 1 in U 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.913 * [taylor]: Taking taylor expansion of 1/2 in U 7.913 * [backup-simplify]: Simplify 1/2 into 1/2 7.913 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.913 * [taylor]: Taking taylor expansion of U in U 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.913 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.913 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.913 * [taylor]: Taking taylor expansion of 1/2 in U 7.914 * [backup-simplify]: Simplify 1/2 into 1/2 7.914 * [taylor]: Taking taylor expansion of K in U 7.914 * [backup-simplify]: Simplify K into K 7.914 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.914 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.914 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.914 * [taylor]: Taking taylor expansion of J in U 7.914 * [backup-simplify]: Simplify J into J 7.914 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.914 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.914 * [backup-simplify]: Simplify (- 0) into 0 7.915 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.915 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.915 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.915 * [taylor]: Taking taylor expansion of 1/2 in U 7.915 * [backup-simplify]: Simplify 1/2 into 1/2 7.915 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.915 * [taylor]: Taking taylor expansion of U in U 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 1 into 1 7.915 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.915 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.915 * [taylor]: Taking taylor expansion of 1/2 in U 7.915 * [backup-simplify]: Simplify 1/2 into 1/2 7.915 * [taylor]: Taking taylor expansion of K in U 7.915 * [backup-simplify]: Simplify K into K 7.915 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.915 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.915 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.915 * [taylor]: Taking taylor expansion of J in U 7.915 * [backup-simplify]: Simplify J into J 7.915 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.916 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.916 * [backup-simplify]: Simplify (- 0) into 0 7.916 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.916 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.916 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.917 * [backup-simplify]: Simplify (* 1 1) into 1 7.917 * [backup-simplify]: Simplify (+ 1 0) into 1 7.917 * [backup-simplify]: Simplify (sqrt 1) into 1 7.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.918 * [backup-simplify]: Simplify (+ 0 0) into 0 7.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.919 * [taylor]: Taking taylor expansion of J in U 7.919 * [backup-simplify]: Simplify J into J 7.919 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.920 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.920 * [backup-simplify]: Simplify (- 0) into 0 7.920 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.920 * [backup-simplify]: Simplify (* 1 J) into J 7.920 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.920 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 7.920 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 7.920 * [taylor]: Taking taylor expansion of -2 in J 7.920 * [backup-simplify]: Simplify -2 into -2 7.920 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.920 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.920 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.920 * [taylor]: Taking taylor expansion of 1/2 in J 7.920 * [backup-simplify]: Simplify 1/2 into 1/2 7.921 * [taylor]: Taking taylor expansion of K in J 7.921 * [backup-simplify]: Simplify K into K 7.921 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.921 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.921 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.921 * [taylor]: Taking taylor expansion of J in J 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.922 * [backup-simplify]: Simplify (+ 0) into 0 7.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.924 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.924 * [backup-simplify]: Simplify (- 0) into 0 7.925 * [backup-simplify]: Simplify (+ 0 0) into 0 7.925 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.925 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 7.925 * [taylor]: Taking taylor expansion of 0 in J 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.925 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.926 * [backup-simplify]: Simplify (- 0) into 0 7.926 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.926 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.926 * [backup-simplify]: Simplify (* -2 0) into 0 7.926 * [taylor]: Taking taylor expansion of 0 in K 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.927 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.927 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.927 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.927 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.928 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 7.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.930 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.931 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.931 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.931 * [backup-simplify]: Simplify (- 0) into 0 7.932 * [backup-simplify]: Simplify (+ 0 0) into 0 7.932 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 7.932 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 7.932 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 7.933 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 7.933 * [taylor]: Taking taylor expansion of 1/4 in J 7.933 * [backup-simplify]: Simplify 1/4 into 1/4 7.933 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 7.933 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.933 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.933 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.933 * [taylor]: Taking taylor expansion of 1/2 in J 7.933 * [backup-simplify]: Simplify 1/2 into 1/2 7.933 * [taylor]: Taking taylor expansion of K in J 7.933 * [backup-simplify]: Simplify K into K 7.933 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.933 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.933 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.933 * [taylor]: Taking taylor expansion of J in J 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.933 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.933 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.936 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.937 * [backup-simplify]: Simplify (+ 0) into 0 7.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.939 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.939 * [backup-simplify]: Simplify (- 0) into 0 7.939 * [backup-simplify]: Simplify (+ 0 0) into 0 7.940 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.940 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 7.940 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 7.940 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 7.940 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 7.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 7.940 * [taylor]: Taking taylor expansion of 1/4 in K 7.940 * [backup-simplify]: Simplify 1/4 into 1/4 7.940 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 7.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.940 * [taylor]: Taking taylor expansion of 1/2 in K 7.940 * [backup-simplify]: Simplify 1/2 into 1/2 7.940 * [taylor]: Taking taylor expansion of K in K 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 1 into 1 7.940 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.941 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.941 * [backup-simplify]: Simplify (/ 1 1) into 1 7.941 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 7.942 * [backup-simplify]: Simplify (- 1/4) into -1/4 7.942 * [backup-simplify]: Simplify -1/4 into -1/4 7.942 * [taylor]: Taking taylor expansion of 0 in K 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify (+ 0) into 0 7.942 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.943 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.944 * [backup-simplify]: Simplify (- 0) into 0 7.944 * [backup-simplify]: Simplify (+ 0 0) into 0 7.944 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.944 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 7.944 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 7.945 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 7.945 * [taylor]: Taking taylor expansion of 2 in K 7.945 * [backup-simplify]: Simplify 2 into 2 7.945 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.945 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.945 * [taylor]: Taking taylor expansion of 1/2 in K 7.945 * [backup-simplify]: Simplify 1/2 into 1/2 7.945 * [taylor]: Taking taylor expansion of K in K 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.946 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.946 * [backup-simplify]: Simplify (* 2 1) into 2 7.946 * [backup-simplify]: Simplify (- 2) into -2 7.946 * [backup-simplify]: Simplify -2 into -2 7.946 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ 0) into 0 7.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.948 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.949 * [backup-simplify]: Simplify (- 0) into 0 7.949 * [backup-simplify]: Simplify (+ 0 0) into 0 7.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.949 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.950 * [backup-simplify]: Simplify (+ 0) into 0 7.950 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.951 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.952 * [backup-simplify]: Simplify (- 0) into 0 7.952 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.952 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.953 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 7.953 * [backup-simplify]: Simplify (+ 0 0) into 0 7.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 7.955 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.957 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.957 * [backup-simplify]: Simplify (- 0) into 0 7.958 * [backup-simplify]: Simplify (+ 0 0) into 0 7.958 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 7.959 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 7.959 * [taylor]: Taking taylor expansion of 0 in J 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.960 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.961 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.961 * [backup-simplify]: Simplify (- 0) into 0 7.962 * [backup-simplify]: Simplify (+ 0 0) into 0 7.962 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.962 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 7.963 * [backup-simplify]: Simplify (- 0) into 0 7.963 * [taylor]: Taking taylor expansion of 0 in K 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [taylor]: Taking taylor expansion of 0 in K 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.964 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.966 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.966 * [backup-simplify]: Simplify (- 0) into 0 7.966 * [backup-simplify]: Simplify (+ 0 0) into 0 7.967 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.967 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 7.967 * [taylor]: Taking taylor expansion of 0 in K 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify (+ 0) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 7.969 * [backup-simplify]: Simplify (- 0) into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 7.969 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 7.969 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 7.969 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 7.969 * [taylor]: Taking taylor expansion of -2 in K 7.969 * [backup-simplify]: Simplify -2 into -2 7.969 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 7.969 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 7.969 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.969 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.969 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 7.969 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.969 * [taylor]: Taking taylor expansion of 1 in K 7.970 * [backup-simplify]: Simplify 1 into 1 7.970 * [taylor]: Taking taylor expansion of 1 in K 7.970 * [backup-simplify]: Simplify 1 into 1 7.970 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.970 * [taylor]: Taking taylor expansion of 1/2 in K 7.970 * [backup-simplify]: Simplify 1/2 into 1/2 7.970 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.970 * [taylor]: Taking taylor expansion of J in K 7.970 * [backup-simplify]: Simplify J into J 7.970 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.970 * [taylor]: Taking taylor expansion of U in K 7.970 * [backup-simplify]: Simplify U into U 7.970 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.970 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.970 * [taylor]: Taking taylor expansion of 1/2 in K 7.970 * [backup-simplify]: Simplify 1/2 into 1/2 7.970 * [taylor]: Taking taylor expansion of K in K 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 1 into 1 7.970 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.970 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.970 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.970 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.970 * [taylor]: Taking taylor expansion of 1/2 in K 7.970 * [backup-simplify]: Simplify 1/2 into 1/2 7.970 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.970 * [taylor]: Taking taylor expansion of J in K 7.970 * [backup-simplify]: Simplify J into J 7.970 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.971 * [taylor]: Taking taylor expansion of U in K 7.971 * [backup-simplify]: Simplify U into U 7.971 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.971 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.971 * [taylor]: Taking taylor expansion of 1/2 in K 7.971 * [backup-simplify]: Simplify 1/2 into 1/2 7.971 * [taylor]: Taking taylor expansion of K in K 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.971 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.971 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.971 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.971 * [backup-simplify]: Simplify (* 1 1) into 1 7.971 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.972 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.972 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 7.972 * [backup-simplify]: Simplify (+ 1 (* 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) 7.972 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.973 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.973 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.974 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.974 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.975 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 7.975 * [backup-simplify]: Simplify (+ 0 0) into 0 7.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.976 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.976 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.976 * [taylor]: Taking taylor expansion of 1/2 in K 7.976 * [backup-simplify]: Simplify 1/2 into 1/2 7.976 * [taylor]: Taking taylor expansion of K in K 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.977 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.977 * [taylor]: Taking taylor expansion of J in K 7.977 * [backup-simplify]: Simplify J into J 7.977 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 7.978 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 7.978 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 7.978 * [taylor]: Taking taylor expansion of -2 in J 7.978 * [backup-simplify]: Simplify -2 into -2 7.978 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 7.978 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 7.978 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.978 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.978 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 7.978 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.978 * [taylor]: Taking taylor expansion of 1 in J 7.978 * [backup-simplify]: Simplify 1 into 1 7.978 * [taylor]: Taking taylor expansion of 1 in J 7.978 * [backup-simplify]: Simplify 1 into 1 7.978 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.978 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.978 * [taylor]: Taking taylor expansion of 1/2 in J 7.978 * [backup-simplify]: Simplify 1/2 into 1/2 7.978 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.978 * [taylor]: Taking taylor expansion of J in J 7.978 * [backup-simplify]: Simplify 0 into 0 7.978 * [backup-simplify]: Simplify 1 into 1 7.978 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.978 * [taylor]: Taking taylor expansion of U in J 7.978 * [backup-simplify]: Simplify U into U 7.978 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.979 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.979 * [taylor]: Taking taylor expansion of 1/2 in J 7.979 * [backup-simplify]: Simplify 1/2 into 1/2 7.979 * [taylor]: Taking taylor expansion of K in J 7.979 * [backup-simplify]: Simplify K into K 7.979 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.979 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.979 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.979 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.979 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.980 * [backup-simplify]: Simplify (- 0) into 0 7.980 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.980 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.980 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.980 * [taylor]: Taking taylor expansion of 1/2 in J 7.980 * [backup-simplify]: Simplify 1/2 into 1/2 7.980 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.980 * [taylor]: Taking taylor expansion of J in J 7.980 * [backup-simplify]: Simplify 0 into 0 7.980 * [backup-simplify]: Simplify 1 into 1 7.980 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.980 * [taylor]: Taking taylor expansion of U in J 7.980 * [backup-simplify]: Simplify U into U 7.980 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.980 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.980 * [taylor]: Taking taylor expansion of 1/2 in J 7.980 * [backup-simplify]: Simplify 1/2 into 1/2 7.980 * [taylor]: Taking taylor expansion of K in J 7.980 * [backup-simplify]: Simplify K into K 7.980 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.981 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.981 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.981 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.981 * [backup-simplify]: Simplify (- 0) into 0 7.981 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.981 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.982 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.982 * [backup-simplify]: Simplify (* 1 1) into 1 7.983 * [backup-simplify]: Simplify (+ 1 0) into 1 7.983 * [backup-simplify]: Simplify (sqrt 1) into 1 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.984 * [backup-simplify]: Simplify (+ 0 0) into 0 7.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.985 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.985 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.985 * [taylor]: Taking taylor expansion of 1/2 in J 7.985 * [backup-simplify]: Simplify 1/2 into 1/2 7.985 * [taylor]: Taking taylor expansion of K in J 7.985 * [backup-simplify]: Simplify K into K 7.985 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.985 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.985 * [taylor]: Taking taylor expansion of J in J 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.986 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.986 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.986 * [backup-simplify]: Simplify (- 0) into 0 7.986 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.986 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 7.986 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.986 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 7.986 * [taylor]: Taking taylor expansion of -2 in U 7.986 * [backup-simplify]: Simplify -2 into -2 7.987 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 7.987 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 7.987 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.987 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.987 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.987 * [taylor]: Taking taylor expansion of 1 in U 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [taylor]: Taking taylor expansion of 1 in U 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.987 * [taylor]: Taking taylor expansion of 1/2 in U 7.987 * [backup-simplify]: Simplify 1/2 into 1/2 7.987 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.987 * [taylor]: Taking taylor expansion of J in U 7.987 * [backup-simplify]: Simplify J into J 7.987 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.987 * [taylor]: Taking taylor expansion of U in U 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.987 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.987 * [taylor]: Taking taylor expansion of 1/2 in U 7.987 * [backup-simplify]: Simplify 1/2 into 1/2 7.987 * [taylor]: Taking taylor expansion of K in U 7.987 * [backup-simplify]: Simplify K into K 7.987 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.988 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.988 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.988 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.988 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.988 * [backup-simplify]: Simplify (- 0) into 0 7.988 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.989 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.989 * [backup-simplify]: Simplify (+ 0) into 0 7.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.990 * [backup-simplify]: Simplify (- 0) into 0 7.991 * [backup-simplify]: Simplify (+ 0 0) into 0 7.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.991 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.991 * [taylor]: Taking taylor expansion of 1/2 in U 7.991 * [backup-simplify]: Simplify 1/2 into 1/2 7.991 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.991 * [taylor]: Taking taylor expansion of J in U 7.991 * [backup-simplify]: Simplify J into J 7.991 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.991 * [taylor]: Taking taylor expansion of U in U 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 1 into 1 7.991 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.991 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.991 * [taylor]: Taking taylor expansion of 1/2 in U 7.991 * [backup-simplify]: Simplify 1/2 into 1/2 7.991 * [taylor]: Taking taylor expansion of K in U 7.991 * [backup-simplify]: Simplify K into K 7.991 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.991 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.991 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.992 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.992 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.992 * [backup-simplify]: Simplify (+ 0) into 0 7.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.994 * [backup-simplify]: Simplify (- 0) into 0 7.994 * [backup-simplify]: Simplify (+ 0 0) into 0 7.994 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.994 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.994 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.994 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.994 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.995 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.995 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.997 * [backup-simplify]: Simplify (- 0) into 0 7.997 * [backup-simplify]: Simplify (+ 0 0) into 0 7.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.999 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.001 * [backup-simplify]: Simplify (- 0) into 0 8.001 * [backup-simplify]: Simplify (+ 0 0) into 0 8.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.002 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.002 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.002 * [backup-simplify]: Simplify (+ 0 0) into 0 8.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.003 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.003 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.003 * [taylor]: Taking taylor expansion of 1/2 in U 8.003 * [backup-simplify]: Simplify 1/2 into 1/2 8.003 * [taylor]: Taking taylor expansion of K in U 8.003 * [backup-simplify]: Simplify K into K 8.003 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.003 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.003 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.003 * [taylor]: Taking taylor expansion of J in U 8.003 * [backup-simplify]: Simplify J into J 8.003 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.003 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.003 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.003 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.003 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.003 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 8.003 * [taylor]: Taking taylor expansion of -2 in U 8.003 * [backup-simplify]: Simplify -2 into -2 8.003 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 8.003 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.003 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.004 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.004 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 8.004 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.004 * [taylor]: Taking taylor expansion of 1 in U 8.004 * [backup-simplify]: Simplify 1 into 1 8.004 * [taylor]: Taking taylor expansion of 1 in U 8.004 * [backup-simplify]: Simplify 1 into 1 8.004 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.004 * [taylor]: Taking taylor expansion of 1/2 in U 8.004 * [backup-simplify]: Simplify 1/2 into 1/2 8.004 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.004 * [taylor]: Taking taylor expansion of J in U 8.004 * [backup-simplify]: Simplify J into J 8.004 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.004 * [taylor]: Taking taylor expansion of U in U 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify 1 into 1 8.004 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.004 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.004 * [taylor]: Taking taylor expansion of 1/2 in U 8.004 * [backup-simplify]: Simplify 1/2 into 1/2 8.004 * [taylor]: Taking taylor expansion of K in U 8.004 * [backup-simplify]: Simplify K into K 8.004 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.004 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.004 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.004 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.004 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.004 * [backup-simplify]: Simplify (- 0) into 0 8.004 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.005 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.005 * [backup-simplify]: Simplify (+ 0) into 0 8.005 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.005 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.006 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.006 * [backup-simplify]: Simplify (- 0) into 0 8.006 * [backup-simplify]: Simplify (+ 0 0) into 0 8.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.007 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.007 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.007 * [taylor]: Taking taylor expansion of 1/2 in U 8.007 * [backup-simplify]: Simplify 1/2 into 1/2 8.007 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.007 * [taylor]: Taking taylor expansion of J in U 8.007 * [backup-simplify]: Simplify J into J 8.007 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.007 * [taylor]: Taking taylor expansion of U in U 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 1 into 1 8.007 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.007 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.007 * [taylor]: Taking taylor expansion of 1/2 in U 8.007 * [backup-simplify]: Simplify 1/2 into 1/2 8.007 * [taylor]: Taking taylor expansion of K in U 8.007 * [backup-simplify]: Simplify K into K 8.007 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.007 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.007 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.007 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.007 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.008 * [backup-simplify]: Simplify (- 0) into 0 8.008 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.008 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.008 * [backup-simplify]: Simplify (+ 0) into 0 8.008 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.009 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.009 * [backup-simplify]: Simplify (- 0) into 0 8.010 * [backup-simplify]: Simplify (+ 0 0) into 0 8.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.010 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.010 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.010 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.010 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.010 * [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))) 8.011 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.012 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.012 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.013 * [backup-simplify]: Simplify (- 0) into 0 8.013 * [backup-simplify]: Simplify (+ 0 0) into 0 8.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.014 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.015 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.015 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.016 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.016 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.016 * [backup-simplify]: Simplify (- 0) into 0 8.016 * [backup-simplify]: Simplify (+ 0 0) into 0 8.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.017 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.018 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.018 * [backup-simplify]: Simplify (+ 0 0) into 0 8.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.018 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.018 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.018 * [taylor]: Taking taylor expansion of 1/2 in U 8.018 * [backup-simplify]: Simplify 1/2 into 1/2 8.018 * [taylor]: Taking taylor expansion of K in U 8.018 * [backup-simplify]: Simplify K into K 8.018 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.018 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.018 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.018 * [taylor]: Taking taylor expansion of J in U 8.018 * [backup-simplify]: Simplify J into J 8.018 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.018 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.019 * [backup-simplify]: Simplify (- 0) into 0 8.019 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.019 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.019 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.019 * [backup-simplify]: Simplify (* -2 1/2) into -1 8.019 * [taylor]: Taking taylor expansion of -1 in J 8.019 * [backup-simplify]: Simplify -1 into -1 8.019 * [backup-simplify]: Simplify (+ 0) into 0 8.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.021 * [backup-simplify]: Simplify (- 0) into 0 8.021 * [backup-simplify]: Simplify (+ 0 0) into 0 8.021 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.021 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 8.022 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 8.022 * [taylor]: Taking taylor expansion of 0 in J 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [taylor]: Taking taylor expansion of -1 in K 8.022 * [backup-simplify]: Simplify -1 into -1 8.022 * [backup-simplify]: Simplify -1 into -1 8.023 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.023 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.024 * [backup-simplify]: Simplify (- 0) into 0 8.024 * [backup-simplify]: Simplify (+ 0 0) into 0 8.025 * [backup-simplify]: Simplify (* 1 1) into 1 8.025 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.026 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.028 * [backup-simplify]: Simplify (- 0) into 0 8.028 * [backup-simplify]: Simplify (+ 0 0) into 0 8.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.029 * [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 8.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.030 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.032 * [backup-simplify]: Simplify (- 0) into 0 8.033 * [backup-simplify]: Simplify (+ 0 0) into 0 8.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.034 * [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 8.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.034 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 8.038 * [backup-simplify]: Simplify (+ 1 0) into 1 8.039 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.040 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 8.040 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 8.041 * [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)))) 8.041 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 8.041 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 8.041 * [taylor]: Taking taylor expansion of 2 in J 8.041 * [backup-simplify]: Simplify 2 into 2 8.041 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 8.041 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.041 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.042 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.042 * [taylor]: Taking taylor expansion of 1/2 in J 8.042 * [backup-simplify]: Simplify 1/2 into 1/2 8.042 * [taylor]: Taking taylor expansion of K in J 8.042 * [backup-simplify]: Simplify K into K 8.042 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.042 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.042 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.042 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.042 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.042 * [backup-simplify]: Simplify (- 0) into 0 8.042 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.043 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.043 * [taylor]: Taking taylor expansion of J in J 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.043 * [backup-simplify]: Simplify (* 1 1) into 1 8.043 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 8.044 * [backup-simplify]: Simplify (+ 0) into 0 8.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.044 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.046 * [backup-simplify]: Simplify (- 0) into 0 8.046 * [backup-simplify]: Simplify (+ 0 0) into 0 8.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 8.048 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.049 * [backup-simplify]: Simplify (- 0) into 0 8.049 * [taylor]: Taking taylor expansion of 0 in K 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [taylor]: Taking taylor expansion of 0 in K 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [taylor]: Taking taylor expansion of 0 in K 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.051 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.054 * [backup-simplify]: Simplify (- 0) into 0 8.055 * [backup-simplify]: Simplify (+ 0 0) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.058 * [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 8.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.061 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.062 * [backup-simplify]: Simplify (- 0) into 0 8.062 * [backup-simplify]: Simplify (+ 0 0) into 0 8.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 8.064 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 8.068 * [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 8.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.071 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.072 * [backup-simplify]: Simplify (- 0) into 0 8.072 * [backup-simplify]: Simplify (+ 0 0) into 0 8.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 8.074 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 8.076 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 8.077 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.078 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.078 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 8.079 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 8.079 * [taylor]: Taking taylor expansion of 0 in J 8.079 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.084 * [backup-simplify]: Simplify (- 0) into 0 8.085 * [backup-simplify]: Simplify (+ 0 0) into 0 8.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.088 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.089 * [backup-simplify]: Simplify (- 0) into 0 8.089 * [taylor]: Taking taylor expansion of 0 in K 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [taylor]: Taking taylor expansion of 0 in K 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 8.090 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 8.090 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 8.090 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 8.090 * [taylor]: Taking taylor expansion of 2 in K 8.090 * [backup-simplify]: Simplify 2 into 2 8.090 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 8.090 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.090 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.090 * [taylor]: Taking taylor expansion of -1/2 in K 8.090 * [backup-simplify]: Simplify -1/2 into -1/2 8.090 * [taylor]: Taking taylor expansion of K in K 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.091 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.091 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.091 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.091 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.091 * [taylor]: Taking taylor expansion of 1 in K 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [taylor]: Taking taylor expansion of 1 in K 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.091 * [taylor]: Taking taylor expansion of 1/2 in K 8.091 * [backup-simplify]: Simplify 1/2 into 1/2 8.091 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.091 * [taylor]: Taking taylor expansion of J in K 8.091 * [backup-simplify]: Simplify J into J 8.091 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.091 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.091 * [taylor]: Taking taylor expansion of -1/2 in K 8.091 * [backup-simplify]: Simplify -1/2 into -1/2 8.091 * [taylor]: Taking taylor expansion of K in K 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.092 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.092 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.092 * [taylor]: Taking taylor expansion of U in K 8.092 * [backup-simplify]: Simplify U into U 8.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.092 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.092 * [taylor]: Taking taylor expansion of 1/2 in K 8.093 * [backup-simplify]: Simplify 1/2 into 1/2 8.093 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.093 * [taylor]: Taking taylor expansion of J in K 8.093 * [backup-simplify]: Simplify J into J 8.093 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.093 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.093 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.093 * [taylor]: Taking taylor expansion of -1/2 in K 8.093 * [backup-simplify]: Simplify -1/2 into -1/2 8.093 * [taylor]: Taking taylor expansion of K in K 8.093 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify 1 into 1 8.093 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.093 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.093 * [taylor]: Taking taylor expansion of U in K 8.094 * [backup-simplify]: Simplify U into U 8.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.094 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.094 * [backup-simplify]: Simplify (* 1 1) into 1 8.094 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.094 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.095 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.095 * [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))))) 8.096 * [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)))))) 8.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.097 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.098 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.098 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.099 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 8.099 * [backup-simplify]: Simplify (+ 0 0) into 0 8.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.100 * [taylor]: Taking taylor expansion of J in K 8.100 * [backup-simplify]: Simplify J into J 8.100 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 8.101 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 8.101 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 8.101 * [taylor]: Taking taylor expansion of 2 in J 8.101 * [backup-simplify]: Simplify 2 into 2 8.101 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 8.101 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.101 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.101 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.101 * [taylor]: Taking taylor expansion of -1/2 in J 8.101 * [backup-simplify]: Simplify -1/2 into -1/2 8.101 * [taylor]: Taking taylor expansion of K in J 8.101 * [backup-simplify]: Simplify K into K 8.101 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.101 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.101 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.101 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.102 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.102 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.102 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.102 * [taylor]: Taking taylor expansion of 1 in J 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of 1 in J 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.102 * [taylor]: Taking taylor expansion of 1/2 in J 8.102 * [backup-simplify]: Simplify 1/2 into 1/2 8.102 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.102 * [taylor]: Taking taylor expansion of J in J 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.102 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.102 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.102 * [taylor]: Taking taylor expansion of -1/2 in J 8.102 * [backup-simplify]: Simplify -1/2 into -1/2 8.102 * [taylor]: Taking taylor expansion of K in J 8.102 * [backup-simplify]: Simplify K into K 8.102 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.102 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.102 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.102 * [taylor]: Taking taylor expansion of U in J 8.102 * [backup-simplify]: Simplify U into U 8.102 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.102 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.103 * [backup-simplify]: Simplify (- 0) into 0 8.103 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.103 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.103 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.103 * [taylor]: Taking taylor expansion of 1/2 in J 8.103 * [backup-simplify]: Simplify 1/2 into 1/2 8.103 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.103 * [taylor]: Taking taylor expansion of J in J 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.103 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.104 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.104 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.104 * [taylor]: Taking taylor expansion of -1/2 in J 8.104 * [backup-simplify]: Simplify -1/2 into -1/2 8.104 * [taylor]: Taking taylor expansion of K in J 8.104 * [backup-simplify]: Simplify K into K 8.104 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.104 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.104 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.104 * [taylor]: Taking taylor expansion of U in J 8.104 * [backup-simplify]: Simplify U into U 8.104 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.104 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.104 * [backup-simplify]: Simplify (- 0) into 0 8.105 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.105 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.105 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.105 * [backup-simplify]: Simplify (* 1 1) into 1 8.106 * [backup-simplify]: Simplify (+ 1 0) into 1 8.106 * [backup-simplify]: Simplify (sqrt 1) into 1 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.107 * [backup-simplify]: Simplify (+ 0 0) into 0 8.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.108 * [taylor]: Taking taylor expansion of J in J 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.108 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.108 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.108 * [backup-simplify]: Simplify (- 0) into 0 8.109 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.109 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.109 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.109 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 8.109 * [taylor]: Taking taylor expansion of 2 in U 8.109 * [backup-simplify]: Simplify 2 into 2 8.109 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 8.109 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.109 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.109 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.109 * [taylor]: Taking taylor expansion of -1/2 in U 8.109 * [backup-simplify]: Simplify -1/2 into -1/2 8.109 * [taylor]: Taking taylor expansion of K in U 8.109 * [backup-simplify]: Simplify K into K 8.109 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.109 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.109 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.109 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.109 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.109 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.110 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.110 * [taylor]: Taking taylor expansion of 1 in U 8.110 * [backup-simplify]: Simplify 1 into 1 8.110 * [taylor]: Taking taylor expansion of 1 in U 8.110 * [backup-simplify]: Simplify 1 into 1 8.110 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.110 * [taylor]: Taking taylor expansion of 1/2 in U 8.110 * [backup-simplify]: Simplify 1/2 into 1/2 8.110 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.110 * [taylor]: Taking taylor expansion of J in U 8.110 * [backup-simplify]: Simplify J into J 8.110 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.110 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.110 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.110 * [taylor]: Taking taylor expansion of -1/2 in U 8.110 * [backup-simplify]: Simplify -1/2 into -1/2 8.110 * [taylor]: Taking taylor expansion of K in U 8.110 * [backup-simplify]: Simplify K into K 8.110 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.110 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.110 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.110 * [taylor]: Taking taylor expansion of U in U 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 1 into 1 8.110 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.110 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.111 * [backup-simplify]: Simplify (- 0) into 0 8.111 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.111 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.112 * [backup-simplify]: Simplify (+ 0) into 0 8.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.114 * [backup-simplify]: Simplify (- 0) into 0 8.114 * [backup-simplify]: Simplify (+ 0 0) into 0 8.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.115 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.115 * [taylor]: Taking taylor expansion of 1/2 in U 8.115 * [backup-simplify]: Simplify 1/2 into 1/2 8.115 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.115 * [taylor]: Taking taylor expansion of J in U 8.115 * [backup-simplify]: Simplify J into J 8.115 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.115 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.115 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.115 * [taylor]: Taking taylor expansion of -1/2 in U 8.115 * [backup-simplify]: Simplify -1/2 into -1/2 8.115 * [taylor]: Taking taylor expansion of K in U 8.115 * [backup-simplify]: Simplify K into K 8.115 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.115 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.115 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.115 * [taylor]: Taking taylor expansion of U in U 8.115 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.116 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.116 * [backup-simplify]: Simplify (- 0) into 0 8.116 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.116 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.117 * [backup-simplify]: Simplify (+ 0) into 0 8.117 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.117 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.118 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.118 * [backup-simplify]: Simplify (- 0) into 0 8.118 * [backup-simplify]: Simplify (+ 0 0) into 0 8.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.119 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.119 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.119 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.119 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.119 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.119 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.122 * [backup-simplify]: Simplify (- 0) into 0 8.122 * [backup-simplify]: Simplify (+ 0 0) into 0 8.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.122 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.125 * [backup-simplify]: Simplify (- 0) into 0 8.125 * [backup-simplify]: Simplify (+ 0 0) into 0 8.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.126 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.126 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.127 * [backup-simplify]: Simplify (+ 0 0) into 0 8.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.127 * [taylor]: Taking taylor expansion of J in U 8.127 * [backup-simplify]: Simplify J into J 8.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.127 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.127 * [backup-simplify]: Simplify (- 0) into 0 8.127 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.127 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.127 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 8.127 * [taylor]: Taking taylor expansion of 2 in U 8.127 * [backup-simplify]: Simplify 2 into 2 8.127 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 8.127 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.127 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.127 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.127 * [taylor]: Taking taylor expansion of -1/2 in U 8.127 * [backup-simplify]: Simplify -1/2 into -1/2 8.127 * [taylor]: Taking taylor expansion of K in U 8.128 * [backup-simplify]: Simplify K into K 8.128 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.128 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.128 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.128 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.128 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.128 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.128 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.128 * [taylor]: Taking taylor expansion of 1 in U 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [taylor]: Taking taylor expansion of 1 in U 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.128 * [taylor]: Taking taylor expansion of 1/2 in U 8.128 * [backup-simplify]: Simplify 1/2 into 1/2 8.128 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.128 * [taylor]: Taking taylor expansion of J in U 8.128 * [backup-simplify]: Simplify J into J 8.128 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.128 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.128 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.128 * [taylor]: Taking taylor expansion of -1/2 in U 8.128 * [backup-simplify]: Simplify -1/2 into -1/2 8.128 * [taylor]: Taking taylor expansion of K in U 8.128 * [backup-simplify]: Simplify K into K 8.128 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.128 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.128 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.128 * [taylor]: Taking taylor expansion of U in U 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.128 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.129 * [backup-simplify]: Simplify (- 0) into 0 8.129 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.129 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.129 * [backup-simplify]: Simplify (+ 0) into 0 8.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.130 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.130 * [backup-simplify]: Simplify (- 0) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.131 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.131 * [taylor]: Taking taylor expansion of 1/2 in U 8.131 * [backup-simplify]: Simplify 1/2 into 1/2 8.131 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.131 * [taylor]: Taking taylor expansion of J in U 8.131 * [backup-simplify]: Simplify J into J 8.131 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.131 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.131 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.131 * [taylor]: Taking taylor expansion of -1/2 in U 8.131 * [backup-simplify]: Simplify -1/2 into -1/2 8.131 * [taylor]: Taking taylor expansion of K in U 8.131 * [backup-simplify]: Simplify K into K 8.131 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.131 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.131 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.131 * [taylor]: Taking taylor expansion of U in U 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.131 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.131 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.132 * [backup-simplify]: Simplify (- 0) into 0 8.132 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.132 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.132 * [backup-simplify]: Simplify (+ 0) into 0 8.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.134 * [backup-simplify]: Simplify (- 0) into 0 8.134 * [backup-simplify]: Simplify (+ 0 0) into 0 8.134 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.134 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.134 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.134 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.134 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.135 * [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))) 8.135 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.137 * [backup-simplify]: Simplify (- 0) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.138 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.140 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.140 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.140 * [backup-simplify]: Simplify (- 0) into 0 8.140 * [backup-simplify]: Simplify (+ 0 0) into 0 8.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.141 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.142 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.142 * [backup-simplify]: Simplify (+ 0 0) into 0 8.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.142 * [taylor]: Taking taylor expansion of J in U 8.142 * [backup-simplify]: Simplify J into J 8.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.142 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.142 * [backup-simplify]: Simplify (- 0) into 0 8.142 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.143 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.143 * [backup-simplify]: Simplify (* 2 1/2) into 1 8.143 * [taylor]: Taking taylor expansion of 1 in J 8.143 * [backup-simplify]: Simplify 1 into 1 8.143 * [backup-simplify]: Simplify (+ 0) into 0 8.144 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.144 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.145 * [backup-simplify]: Simplify (- 0) into 0 8.145 * [backup-simplify]: Simplify (+ 0 0) into 0 8.145 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.145 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 8.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 8.146 * [taylor]: Taking taylor expansion of 0 in J 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [taylor]: Taking taylor expansion of 1 in K 8.146 * [backup-simplify]: Simplify 1 into 1 8.146 * [backup-simplify]: Simplify 1 into 1 8.146 * [backup-simplify]: Simplify (* 1 1) into 1 8.146 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.149 * [backup-simplify]: Simplify (- 0) into 0 8.149 * [backup-simplify]: Simplify (+ 0 0) into 0 8.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.150 * [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 8.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.151 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.151 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.152 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.153 * [backup-simplify]: Simplify (- 0) into 0 8.153 * [backup-simplify]: Simplify (+ 0 0) into 0 8.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.154 * [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 8.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.155 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 8.156 * [backup-simplify]: Simplify (+ 1 0) into 1 8.156 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.157 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.158 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.159 * [backup-simplify]: Simplify (- 0) into 0 8.159 * [backup-simplify]: Simplify (+ 0 0) into 0 8.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 8.163 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 8.164 * [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))) 8.164 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 8.164 * [taylor]: Taking taylor expansion of 2 in J 8.164 * [backup-simplify]: Simplify 2 into 2 8.164 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 8.164 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.164 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.164 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.164 * [taylor]: Taking taylor expansion of -1/2 in J 8.164 * [backup-simplify]: Simplify -1/2 into -1/2 8.164 * [taylor]: Taking taylor expansion of K in J 8.164 * [backup-simplify]: Simplify K into K 8.164 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.164 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.164 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.165 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.165 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.165 * [backup-simplify]: Simplify (- 0) into 0 8.165 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.165 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.165 * [taylor]: Taking taylor expansion of J in J 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.165 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.165 * [backup-simplify]: Simplify (* 1 1) into 1 8.165 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.166 * [backup-simplify]: Simplify (+ 0) into 0 8.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.167 * [backup-simplify]: Simplify (- 0) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 8.169 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 8.169 * [taylor]: Taking taylor expansion of 0 in K 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [taylor]: Taking taylor expansion of 0 in K 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [taylor]: Taking taylor expansion of 0 in K 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.171 * [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 8.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.173 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.174 * [backup-simplify]: Simplify (- 0) into 0 8.174 * [backup-simplify]: Simplify (+ 0 0) into 0 8.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.175 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 8.177 * [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 8.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.180 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.181 * [backup-simplify]: Simplify (- 0) into 0 8.181 * [backup-simplify]: Simplify (+ 0 0) into 0 8.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.183 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 8.185 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 8.186 * [backup-simplify]: Simplify (+ 0 0) into 0 8.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.187 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.191 * [backup-simplify]: Simplify (- 0) into 0 8.192 * [backup-simplify]: Simplify (+ 0 0) into 0 8.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 8.193 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 8.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 8.194 * [taylor]: Taking taylor expansion of 0 in J 8.194 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.198 * [backup-simplify]: Simplify (- 0) into 0 8.198 * [backup-simplify]: Simplify (+ 0 0) into 0 8.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 8.202 * [taylor]: Taking taylor expansion of 0 in K 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [taylor]: Taking taylor expansion of 0 in K 8.202 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 8.203 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 8.203 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 8.203 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 8.203 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 8.203 * [taylor]: Taking taylor expansion of 2 in K 8.203 * [backup-simplify]: Simplify 2 into 2 8.203 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.203 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.203 * [taylor]: Taking taylor expansion of 1/2 in K 8.203 * [backup-simplify]: Simplify 1/2 into 1/2 8.203 * [taylor]: Taking taylor expansion of K in K 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.204 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.204 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.204 * [taylor]: Taking taylor expansion of J in K 8.204 * [backup-simplify]: Simplify J into J 8.204 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 8.204 * [taylor]: Taking taylor expansion of 2 in J 8.205 * [backup-simplify]: Simplify 2 into 2 8.205 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.205 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.205 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.205 * [taylor]: Taking taylor expansion of 1/2 in J 8.205 * [backup-simplify]: Simplify 1/2 into 1/2 8.205 * [taylor]: Taking taylor expansion of K in J 8.205 * [backup-simplify]: Simplify K into K 8.205 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.205 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.205 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.205 * [taylor]: Taking taylor expansion of J in J 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 8.205 * [taylor]: Taking taylor expansion of 2 in J 8.205 * [backup-simplify]: Simplify 2 into 2 8.205 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.205 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.205 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.205 * [taylor]: Taking taylor expansion of 1/2 in J 8.205 * [backup-simplify]: Simplify 1/2 into 1/2 8.205 * [taylor]: Taking taylor expansion of K in J 8.205 * [backup-simplify]: Simplify K into K 8.205 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.205 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.205 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.205 * [taylor]: Taking taylor expansion of J in J 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.206 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.206 * [backup-simplify]: Simplify (- 0) into 0 8.206 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.206 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.207 * [backup-simplify]: Simplify (* 2 0) into 0 8.207 * [taylor]: Taking taylor expansion of 0 in K 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (+ 0) into 0 8.208 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.209 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.210 * [backup-simplify]: Simplify (- 0) into 0 8.210 * [backup-simplify]: Simplify (+ 0 0) into 0 8.211 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.211 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 8.211 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 8.211 * [taylor]: Taking taylor expansion of 2 in K 8.211 * [backup-simplify]: Simplify 2 into 2 8.211 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.211 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.211 * [taylor]: Taking taylor expansion of 1/2 in K 8.211 * [backup-simplify]: Simplify 1/2 into 1/2 8.211 * [taylor]: Taking taylor expansion of K in K 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 1 into 1 8.212 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.212 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.213 * [backup-simplify]: Simplify (* 2 1) into 2 8.213 * [backup-simplify]: Simplify 2 into 2 8.213 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.215 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.217 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.217 * [backup-simplify]: Simplify (- 0) into 0 8.217 * [backup-simplify]: Simplify (+ 0 0) into 0 8.218 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 8.219 * [taylor]: Taking taylor expansion of 0 in K 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify (+ 0) into 0 8.220 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.220 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.222 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.226 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.227 * [backup-simplify]: Simplify (- 0) into 0 8.227 * [backup-simplify]: Simplify (+ 0 0) into 0 8.228 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 8.229 * [taylor]: Taking taylor expansion of 0 in K 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 8.229 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 8.229 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 8.229 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 8.229 * [taylor]: Taking taylor expansion of 2 in K 8.229 * [backup-simplify]: Simplify 2 into 2 8.229 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 8.229 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.230 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.230 * [taylor]: Taking taylor expansion of 1/2 in K 8.230 * [backup-simplify]: Simplify 1/2 into 1/2 8.230 * [taylor]: Taking taylor expansion of K in K 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 1 into 1 8.230 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.230 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.230 * [taylor]: Taking taylor expansion of J in K 8.230 * [backup-simplify]: Simplify J into J 8.230 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 8.230 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 8.230 * [taylor]: Taking taylor expansion of 2 in J 8.230 * [backup-simplify]: Simplify 2 into 2 8.230 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.230 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.231 * [taylor]: Taking taylor expansion of 1/2 in J 8.231 * [backup-simplify]: Simplify 1/2 into 1/2 8.231 * [taylor]: Taking taylor expansion of K in J 8.231 * [backup-simplify]: Simplify K into K 8.231 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.231 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.231 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.231 * [taylor]: Taking taylor expansion of J in J 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.231 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.231 * [backup-simplify]: Simplify (- 0) into 0 8.232 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.232 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.232 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 8.232 * [taylor]: Taking taylor expansion of 2 in J 8.232 * [backup-simplify]: Simplify 2 into 2 8.232 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.232 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.232 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.232 * [taylor]: Taking taylor expansion of 1/2 in J 8.232 * [backup-simplify]: Simplify 1/2 into 1/2 8.232 * [taylor]: Taking taylor expansion of K in J 8.232 * [backup-simplify]: Simplify K into K 8.232 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.232 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.232 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.232 * [taylor]: Taking taylor expansion of J in J 8.232 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify 1 into 1 8.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.232 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.233 * [backup-simplify]: Simplify (- 0) into 0 8.233 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.233 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.233 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 8.233 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 8.233 * [taylor]: Taking taylor expansion of 2 in K 8.233 * [backup-simplify]: Simplify 2 into 2 8.233 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.233 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.233 * [taylor]: Taking taylor expansion of 1/2 in K 8.233 * [backup-simplify]: Simplify 1/2 into 1/2 8.233 * [taylor]: Taking taylor expansion of K in K 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 1 into 1 8.234 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.234 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.234 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 8.234 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 8.234 * [backup-simplify]: Simplify (+ 0) into 0 8.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.237 * [backup-simplify]: Simplify (- 0) into 0 8.237 * [backup-simplify]: Simplify (+ 0 0) into 0 8.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 8.238 * [taylor]: Taking taylor expansion of 0 in K 8.239 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 8.239 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.242 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.243 * [backup-simplify]: Simplify (- 0) into 0 8.244 * [backup-simplify]: Simplify (+ 0 0) into 0 8.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.246 * [taylor]: Taking taylor expansion of 0 in K 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.247 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.252 * [backup-simplify]: Simplify (- 0) into 0 8.252 * [backup-simplify]: Simplify (+ 0 0) into 0 8.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.255 * [taylor]: Taking taylor expansion of 0 in K 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 8.256 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 8.256 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 8.256 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 8.256 * [taylor]: Taking taylor expansion of -2 in K 8.256 * [backup-simplify]: Simplify -2 into -2 8.256 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 8.256 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.256 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.256 * [taylor]: Taking taylor expansion of -1/2 in K 8.256 * [backup-simplify]: Simplify -1/2 into -1/2 8.256 * [taylor]: Taking taylor expansion of K in K 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.257 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.257 * [taylor]: Taking taylor expansion of J in K 8.257 * [backup-simplify]: Simplify J into J 8.257 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 8.257 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 8.257 * [taylor]: Taking taylor expansion of -2 in J 8.257 * [backup-simplify]: Simplify -2 into -2 8.257 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.257 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.257 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.257 * [taylor]: Taking taylor expansion of -1/2 in J 8.257 * [backup-simplify]: Simplify -1/2 into -1/2 8.257 * [taylor]: Taking taylor expansion of K in J 8.257 * [backup-simplify]: Simplify K into K 8.257 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.257 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.257 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.257 * [taylor]: Taking taylor expansion of J in J 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.257 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.258 * [backup-simplify]: Simplify (- 0) into 0 8.258 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.258 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.258 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 8.258 * [taylor]: Taking taylor expansion of -2 in J 8.258 * [backup-simplify]: Simplify -2 into -2 8.258 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.258 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.258 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.258 * [taylor]: Taking taylor expansion of -1/2 in J 8.258 * [backup-simplify]: Simplify -1/2 into -1/2 8.258 * [taylor]: Taking taylor expansion of K in J 8.258 * [backup-simplify]: Simplify K into K 8.258 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.258 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.258 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.259 * [taylor]: Taking taylor expansion of J in J 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify 1 into 1 8.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.259 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.259 * [backup-simplify]: Simplify (- 0) into 0 8.259 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.259 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.259 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 8.260 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 8.260 * [taylor]: Taking taylor expansion of -2 in K 8.260 * [backup-simplify]: Simplify -2 into -2 8.260 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.260 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.260 * [taylor]: Taking taylor expansion of -1/2 in K 8.260 * [backup-simplify]: Simplify -1/2 into -1/2 8.260 * [taylor]: Taking taylor expansion of K in K 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.260 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.260 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 8.260 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 8.261 * [backup-simplify]: Simplify (+ 0) into 0 8.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.263 * [backup-simplify]: Simplify (- 0) into 0 8.263 * [backup-simplify]: Simplify (+ 0 0) into 0 8.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 8.265 * [taylor]: Taking taylor expansion of 0 in K 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 8.265 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.267 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.269 * [backup-simplify]: Simplify (- 0) into 0 8.269 * [backup-simplify]: Simplify (+ 0 0) into 0 8.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.272 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.272 * [taylor]: Taking taylor expansion of 0 in K 8.272 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify 0 into 0 8.273 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.273 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.278 * [backup-simplify]: Simplify (- 0) into 0 8.279 * [backup-simplify]: Simplify (+ 0 0) into 0 8.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.282 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 8.282 * [taylor]: Taking taylor expansion of 0 in K 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 8.282 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 8.283 * [backup-simplify]: Simplify (/ U (* (* J 2) (cos (/ K 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.283 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 8.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.283 * [taylor]: Taking taylor expansion of 1/2 in K 8.283 * [backup-simplify]: Simplify 1/2 into 1/2 8.283 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.283 * [taylor]: Taking taylor expansion of U in K 8.283 * [backup-simplify]: Simplify U into U 8.283 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.283 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.283 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.283 * [taylor]: Taking taylor expansion of 1/2 in K 8.283 * [backup-simplify]: Simplify 1/2 into 1/2 8.283 * [taylor]: Taking taylor expansion of K in K 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.284 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.284 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.284 * [taylor]: Taking taylor expansion of J in K 8.284 * [backup-simplify]: Simplify J into J 8.284 * [backup-simplify]: Simplify (* 1 J) into J 8.284 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.285 * [taylor]: Taking taylor expansion of 1/2 in J 8.285 * [backup-simplify]: Simplify 1/2 into 1/2 8.285 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.285 * [taylor]: Taking taylor expansion of U in J 8.285 * [backup-simplify]: Simplify U into U 8.285 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.285 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.285 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.285 * [taylor]: Taking taylor expansion of 1/2 in J 8.285 * [backup-simplify]: Simplify 1/2 into 1/2 8.285 * [taylor]: Taking taylor expansion of K in J 8.285 * [backup-simplify]: Simplify K into K 8.285 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.285 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.285 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.285 * [taylor]: Taking taylor expansion of J in J 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.285 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.286 * [backup-simplify]: Simplify (- 0) into 0 8.286 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.286 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.286 * [backup-simplify]: Simplify (+ 0) into 0 8.287 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.288 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.289 * [backup-simplify]: Simplify (- 0) into 0 8.289 * [backup-simplify]: Simplify (+ 0 0) into 0 8.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.290 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.290 * [taylor]: Taking taylor expansion of 1/2 in U 8.290 * [backup-simplify]: Simplify 1/2 into 1/2 8.290 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.290 * [taylor]: Taking taylor expansion of U in U 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.290 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.290 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.290 * [taylor]: Taking taylor expansion of 1/2 in U 8.290 * [backup-simplify]: Simplify 1/2 into 1/2 8.290 * [taylor]: Taking taylor expansion of K in U 8.290 * [backup-simplify]: Simplify K into K 8.290 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.290 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.290 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.290 * [taylor]: Taking taylor expansion of J in U 8.290 * [backup-simplify]: Simplify J into J 8.290 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.290 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.291 * [backup-simplify]: Simplify (- 0) into 0 8.291 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.291 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.291 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.291 * [taylor]: Taking taylor expansion of 1/2 in U 8.291 * [backup-simplify]: Simplify 1/2 into 1/2 8.291 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.291 * [taylor]: Taking taylor expansion of U in U 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify 1 into 1 8.291 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.291 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.291 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.291 * [taylor]: Taking taylor expansion of 1/2 in U 8.292 * [backup-simplify]: Simplify 1/2 into 1/2 8.292 * [taylor]: Taking taylor expansion of K in U 8.292 * [backup-simplify]: Simplify K into K 8.292 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.292 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.292 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.292 * [taylor]: Taking taylor expansion of J in U 8.292 * [backup-simplify]: Simplify J into J 8.292 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.292 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.292 * [backup-simplify]: Simplify (- 0) into 0 8.292 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.293 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.293 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.293 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 8.293 * [taylor]: Taking taylor expansion of 1/2 in J 8.293 * [backup-simplify]: Simplify 1/2 into 1/2 8.293 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.293 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.293 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.293 * [taylor]: Taking taylor expansion of 1/2 in J 8.293 * [backup-simplify]: Simplify 1/2 into 1/2 8.293 * [taylor]: Taking taylor expansion of K in J 8.293 * [backup-simplify]: Simplify K into K 8.293 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.293 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.293 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.293 * [taylor]: Taking taylor expansion of J in J 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.293 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.293 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.294 * [backup-simplify]: Simplify (- 0) into 0 8.294 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.294 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.294 * [backup-simplify]: Simplify (+ 0) into 0 8.295 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.297 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.297 * [backup-simplify]: Simplify (- 0) into 0 8.298 * [backup-simplify]: Simplify (+ 0 0) into 0 8.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.298 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 8.298 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 8.298 * [taylor]: Taking taylor expansion of 1/2 in K 8.298 * [backup-simplify]: Simplify 1/2 into 1/2 8.298 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.298 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.298 * [taylor]: Taking taylor expansion of 1/2 in K 8.298 * [backup-simplify]: Simplify 1/2 into 1/2 8.299 * [taylor]: Taking taylor expansion of K in K 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify 1 into 1 8.299 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.300 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.300 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.300 * [backup-simplify]: Simplify 1/2 into 1/2 8.300 * [backup-simplify]: Simplify (+ 0) into 0 8.301 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.307 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.307 * [backup-simplify]: Simplify (- 0) into 0 8.308 * [backup-simplify]: Simplify (+ 0 0) into 0 8.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.308 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.309 * [taylor]: Taking taylor expansion of 0 in J 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.310 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.311 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.311 * [backup-simplify]: Simplify (- 0) into 0 8.311 * [backup-simplify]: Simplify (+ 0 0) into 0 8.312 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.312 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.312 * [taylor]: Taking taylor expansion of 0 in K 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify (+ 0) into 0 8.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.314 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.315 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.316 * [backup-simplify]: Simplify (- 0) into 0 8.316 * [backup-simplify]: Simplify (+ 0 0) into 0 8.316 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 8.316 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 8.317 * [taylor]: Taking taylor expansion of 0 in J 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [taylor]: Taking taylor expansion of 0 in K 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.318 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.320 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.320 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.321 * [backup-simplify]: Simplify (- 0) into 0 8.321 * [backup-simplify]: Simplify (+ 0 0) into 0 8.321 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.321 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 8.322 * [taylor]: Taking taylor expansion of 0 in K 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 8.323 * [backup-simplify]: Simplify 1/16 into 1/16 8.324 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.324 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.326 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.326 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.326 * [backup-simplify]: Simplify (- 0) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 8.328 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 8.328 * [taylor]: Taking taylor expansion of 0 in J 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [taylor]: Taking taylor expansion of 0 in K 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [taylor]: Taking taylor expansion of 0 in K 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.330 * [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 8.330 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 8.333 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.333 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.333 * [backup-simplify]: Simplify (- 0) into 0 8.334 * [backup-simplify]: Simplify (+ 0 0) into 0 8.334 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.334 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 8.334 * [taylor]: Taking taylor expansion of 0 in K 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 8.335 * [backup-simplify]: Simplify (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.335 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 8.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.335 * [taylor]: Taking taylor expansion of 1/2 in K 8.335 * [backup-simplify]: Simplify 1/2 into 1/2 8.335 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.335 * [taylor]: Taking taylor expansion of J in K 8.335 * [backup-simplify]: Simplify J into J 8.335 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.335 * [taylor]: Taking taylor expansion of U in K 8.335 * [backup-simplify]: Simplify U into U 8.335 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.335 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.335 * [taylor]: Taking taylor expansion of 1/2 in K 8.335 * [backup-simplify]: Simplify 1/2 into 1/2 8.335 * [taylor]: Taking taylor expansion of K in K 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.336 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.336 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.336 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.336 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.336 * [taylor]: Taking taylor expansion of 1/2 in J 8.336 * [backup-simplify]: Simplify 1/2 into 1/2 8.336 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.336 * [taylor]: Taking taylor expansion of J in J 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 1 into 1 8.336 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.336 * [taylor]: Taking taylor expansion of U in J 8.336 * [backup-simplify]: Simplify U into U 8.336 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.336 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.336 * [taylor]: Taking taylor expansion of 1/2 in J 8.336 * [backup-simplify]: Simplify 1/2 into 1/2 8.336 * [taylor]: Taking taylor expansion of K in J 8.336 * [backup-simplify]: Simplify K into K 8.336 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.336 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.336 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.336 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.336 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.337 * [backup-simplify]: Simplify (- 0) into 0 8.337 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.337 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.337 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.337 * [taylor]: Taking taylor expansion of 1/2 in U 8.337 * [backup-simplify]: Simplify 1/2 into 1/2 8.337 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.337 * [taylor]: Taking taylor expansion of J in U 8.337 * [backup-simplify]: Simplify J into J 8.337 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.337 * [taylor]: Taking taylor expansion of U in U 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.337 * [taylor]: Taking taylor expansion of 1/2 in U 8.337 * [backup-simplify]: Simplify 1/2 into 1/2 8.337 * [taylor]: Taking taylor expansion of K in U 8.337 * [backup-simplify]: Simplify K into K 8.337 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.337 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.337 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.337 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.338 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.338 * [backup-simplify]: Simplify (- 0) into 0 8.339 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.339 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.339 * [backup-simplify]: Simplify (+ 0) into 0 8.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.342 * [backup-simplify]: Simplify (- 0) into 0 8.342 * [backup-simplify]: Simplify (+ 0 0) into 0 8.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.343 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.343 * [taylor]: Taking taylor expansion of 1/2 in U 8.343 * [backup-simplify]: Simplify 1/2 into 1/2 8.343 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.343 * [taylor]: Taking taylor expansion of J in U 8.343 * [backup-simplify]: Simplify J into J 8.343 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.343 * [taylor]: Taking taylor expansion of U in U 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.343 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.343 * [taylor]: Taking taylor expansion of 1/2 in U 8.343 * [backup-simplify]: Simplify 1/2 into 1/2 8.343 * [taylor]: Taking taylor expansion of K in U 8.343 * [backup-simplify]: Simplify K into K 8.343 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.343 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.343 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.344 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.344 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.344 * [backup-simplify]: Simplify (- 0) into 0 8.344 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.344 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.345 * [backup-simplify]: Simplify (+ 0) into 0 8.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.347 * [backup-simplify]: Simplify (- 0) into 0 8.348 * [backup-simplify]: Simplify (+ 0 0) into 0 8.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.348 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.349 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 8.349 * [taylor]: Taking taylor expansion of 1/2 in J 8.349 * [backup-simplify]: Simplify 1/2 into 1/2 8.349 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 8.349 * [taylor]: Taking taylor expansion of J in J 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify 1 into 1 8.349 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.349 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.349 * [taylor]: Taking taylor expansion of 1/2 in J 8.349 * [backup-simplify]: Simplify 1/2 into 1/2 8.349 * [taylor]: Taking taylor expansion of K in J 8.349 * [backup-simplify]: Simplify K into K 8.349 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.349 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.349 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.349 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.349 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.350 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 8.350 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 8.350 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 8.350 * [taylor]: Taking taylor expansion of 1/2 in K 8.350 * [backup-simplify]: Simplify 1/2 into 1/2 8.350 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.351 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.351 * [taylor]: Taking taylor expansion of 1/2 in K 8.351 * [backup-simplify]: Simplify 1/2 into 1/2 8.351 * [taylor]: Taking taylor expansion of K in K 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.351 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.351 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.351 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.353 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.355 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.355 * [backup-simplify]: Simplify (- 0) into 0 8.356 * [backup-simplify]: Simplify (+ 0 0) into 0 8.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.357 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.357 * [taylor]: Taking taylor expansion of 0 in J 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [taylor]: Taking taylor expansion of 0 in K 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify (+ 0) into 0 8.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.359 * [backup-simplify]: Simplify (- 0) into 0 8.359 * [backup-simplify]: Simplify (+ 0 0) into 0 8.359 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 8.360 * [taylor]: Taking taylor expansion of 0 in K 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.363 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.363 * [backup-simplify]: Simplify (- 0) into 0 8.363 * [backup-simplify]: Simplify (+ 0 0) into 0 8.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.364 * [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 8.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.365 * [taylor]: Taking taylor expansion of 0 in J 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [taylor]: Taking taylor expansion of 0 in K 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [taylor]: Taking taylor expansion of 0 in K 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.367 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify (+ 0 0) into 0 8.368 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 8.368 * [taylor]: Taking taylor expansion of 0 in K 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.369 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.369 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 8.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.369 * [taylor]: Taking taylor expansion of 1/2 in K 8.369 * [backup-simplify]: Simplify 1/2 into 1/2 8.369 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.369 * [taylor]: Taking taylor expansion of J in K 8.369 * [backup-simplify]: Simplify J into J 8.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.369 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.369 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.369 * [taylor]: Taking taylor expansion of -1/2 in K 8.369 * [backup-simplify]: Simplify -1/2 into -1/2 8.369 * [taylor]: Taking taylor expansion of K in K 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.369 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.369 * [taylor]: Taking taylor expansion of U in K 8.369 * [backup-simplify]: Simplify U into U 8.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.370 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.370 * [taylor]: Taking taylor expansion of 1/2 in J 8.370 * [backup-simplify]: Simplify 1/2 into 1/2 8.370 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.370 * [taylor]: Taking taylor expansion of J in J 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.370 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.370 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.370 * [taylor]: Taking taylor expansion of -1/2 in J 8.370 * [backup-simplify]: Simplify -1/2 into -1/2 8.370 * [taylor]: Taking taylor expansion of K in J 8.370 * [backup-simplify]: Simplify K into K 8.370 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.370 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.370 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.370 * [taylor]: Taking taylor expansion of U in J 8.370 * [backup-simplify]: Simplify U into U 8.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.370 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.370 * [backup-simplify]: Simplify (- 0) into 0 8.370 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.371 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.371 * [taylor]: Taking taylor expansion of 1/2 in U 8.371 * [backup-simplify]: Simplify 1/2 into 1/2 8.371 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.371 * [taylor]: Taking taylor expansion of J in U 8.371 * [backup-simplify]: Simplify J into J 8.371 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.371 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.371 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.371 * [taylor]: Taking taylor expansion of -1/2 in U 8.371 * [backup-simplify]: Simplify -1/2 into -1/2 8.371 * [taylor]: Taking taylor expansion of K in U 8.371 * [backup-simplify]: Simplify K into K 8.371 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.371 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.371 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.371 * [taylor]: Taking taylor expansion of U in U 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 1 into 1 8.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.371 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.371 * [backup-simplify]: Simplify (- 0) into 0 8.371 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.372 * [backup-simplify]: Simplify (+ 0) into 0 8.372 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.372 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.373 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ 0 0) into 0 8.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.374 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.374 * [taylor]: Taking taylor expansion of 1/2 in U 8.374 * [backup-simplify]: Simplify 1/2 into 1/2 8.374 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.374 * [taylor]: Taking taylor expansion of J in U 8.374 * [backup-simplify]: Simplify J into J 8.374 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.374 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.374 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.374 * [taylor]: Taking taylor expansion of -1/2 in U 8.374 * [backup-simplify]: Simplify -1/2 into -1/2 8.374 * [taylor]: Taking taylor expansion of K in U 8.374 * [backup-simplify]: Simplify K into K 8.374 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.374 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.374 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.374 * [taylor]: Taking taylor expansion of U in U 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.374 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.374 * [backup-simplify]: Simplify (- 0) into 0 8.375 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.375 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.375 * [backup-simplify]: Simplify (+ 0) into 0 8.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.376 * [backup-simplify]: Simplify (- 0) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.377 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.377 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 8.377 * [taylor]: Taking taylor expansion of 1/2 in J 8.377 * [backup-simplify]: Simplify 1/2 into 1/2 8.377 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 8.377 * [taylor]: Taking taylor expansion of J in J 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.377 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.377 * [taylor]: Taking taylor expansion of -1/2 in J 8.377 * [backup-simplify]: Simplify -1/2 into -1/2 8.377 * [taylor]: Taking taylor expansion of K in J 8.377 * [backup-simplify]: Simplify K into K 8.377 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.377 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.377 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.377 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.377 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.378 * [backup-simplify]: Simplify (- 0) into 0 8.378 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.378 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 8.378 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 8.378 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 8.378 * [taylor]: Taking taylor expansion of 1/2 in K 8.378 * [backup-simplify]: Simplify 1/2 into 1/2 8.378 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.378 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.378 * [taylor]: Taking taylor expansion of -1/2 in K 8.378 * [backup-simplify]: Simplify -1/2 into -1/2 8.378 * [taylor]: Taking taylor expansion of K in K 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.378 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.378 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.379 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.381 * [backup-simplify]: Simplify (- 0) into 0 8.381 * [backup-simplify]: Simplify (+ 0 0) into 0 8.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.382 * [taylor]: Taking taylor expansion of 0 in J 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [taylor]: Taking taylor expansion of 0 in K 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify (+ 0) into 0 8.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.383 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.384 * [backup-simplify]: Simplify (+ 0 0) into 0 8.385 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 8.385 * [taylor]: Taking taylor expansion of 0 in K 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.388 * [backup-simplify]: Simplify (- 0) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.389 * [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 8.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.390 * [taylor]: Taking taylor expansion of 0 in J 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [taylor]: Taking taylor expansion of 0 in K 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [taylor]: Taking taylor expansion of 0 in K 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.391 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.392 * [backup-simplify]: Simplify (- 0) into 0 8.392 * [backup-simplify]: Simplify (+ 0 0) into 0 8.392 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 8.393 * [taylor]: Taking taylor expansion of 0 in K 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.393 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) into (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 8.393 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 8.393 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 8.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.394 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.394 * [taylor]: Taking taylor expansion of 1/2 in K 8.394 * [backup-simplify]: Simplify 1/2 into 1/2 8.394 * [taylor]: Taking taylor expansion of K in K 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.394 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 8.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.394 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 8.394 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.394 * [taylor]: Taking taylor expansion of 1 in K 8.394 * [backup-simplify]: Simplify 1 into 1 8.395 * [taylor]: Taking taylor expansion of 1 in K 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 8.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.395 * [taylor]: Taking taylor expansion of 1/2 in K 8.395 * [backup-simplify]: Simplify 1/2 into 1/2 8.395 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.395 * [taylor]: Taking taylor expansion of U in K 8.395 * [backup-simplify]: Simplify U into U 8.395 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.395 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.395 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.395 * [taylor]: Taking taylor expansion of 1/2 in K 8.395 * [backup-simplify]: Simplify 1/2 into 1/2 8.395 * [taylor]: Taking taylor expansion of K in K 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.396 * [taylor]: Taking taylor expansion of J in K 8.396 * [backup-simplify]: Simplify J into J 8.396 * [backup-simplify]: Simplify (* 1 J) into J 8.396 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.396 * [taylor]: Taking taylor expansion of 1/2 in K 8.396 * [backup-simplify]: Simplify 1/2 into 1/2 8.396 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.396 * [taylor]: Taking taylor expansion of U in K 8.396 * [backup-simplify]: Simplify U into U 8.396 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.396 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.396 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.396 * [taylor]: Taking taylor expansion of 1/2 in K 8.396 * [backup-simplify]: Simplify 1/2 into 1/2 8.396 * [taylor]: Taking taylor expansion of K in K 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.397 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.397 * [taylor]: Taking taylor expansion of J in K 8.397 * [backup-simplify]: Simplify J into J 8.397 * [backup-simplify]: Simplify (* 1 J) into J 8.397 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.397 * [backup-simplify]: Simplify (* 1 1) into 1 8.397 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 8.397 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 8.397 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.397 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.397 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.398 * [backup-simplify]: Simplify (+ 0) into 0 8.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.399 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 8.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 8.400 * [backup-simplify]: Simplify (+ 0) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.400 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 8.400 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.401 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 8.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.401 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.401 * [taylor]: Taking taylor expansion of 1/2 in J 8.401 * [backup-simplify]: Simplify 1/2 into 1/2 8.401 * [taylor]: Taking taylor expansion of K in J 8.401 * [backup-simplify]: Simplify K into K 8.401 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.401 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.401 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.401 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 8.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.401 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 8.401 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.401 * [taylor]: Taking taylor expansion of 1 in J 8.401 * [backup-simplify]: Simplify 1 into 1 8.401 * [taylor]: Taking taylor expansion of 1 in J 8.401 * [backup-simplify]: Simplify 1 into 1 8.401 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 8.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.401 * [taylor]: Taking taylor expansion of 1/2 in J 8.401 * [backup-simplify]: Simplify 1/2 into 1/2 8.401 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.401 * [taylor]: Taking taylor expansion of U in J 8.401 * [backup-simplify]: Simplify U into U 8.401 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.401 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.401 * [taylor]: Taking taylor expansion of 1/2 in J 8.401 * [backup-simplify]: Simplify 1/2 into 1/2 8.401 * [taylor]: Taking taylor expansion of K in J 8.401 * [backup-simplify]: Simplify K into K 8.401 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.402 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.402 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.402 * [taylor]: Taking taylor expansion of J in J 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 1 into 1 8.402 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.402 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.402 * [backup-simplify]: Simplify (- 0) into 0 8.402 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.402 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.402 * [backup-simplify]: Simplify (+ 0) into 0 8.403 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.404 * [backup-simplify]: Simplify (- 0) into 0 8.404 * [backup-simplify]: Simplify (+ 0 0) into 0 8.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.405 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.405 * [taylor]: Taking taylor expansion of 1/2 in J 8.405 * [backup-simplify]: Simplify 1/2 into 1/2 8.405 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.405 * [taylor]: Taking taylor expansion of U in J 8.405 * [backup-simplify]: Simplify U into U 8.405 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.405 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.405 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.405 * [taylor]: Taking taylor expansion of 1/2 in J 8.405 * [backup-simplify]: Simplify 1/2 into 1/2 8.405 * [taylor]: Taking taylor expansion of K in J 8.405 * [backup-simplify]: Simplify K into K 8.405 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.405 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.405 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.405 * [taylor]: Taking taylor expansion of J in J 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.405 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.406 * [backup-simplify]: Simplify (- 0) into 0 8.406 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.406 * [backup-simplify]: Simplify (+ 0) into 0 8.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.407 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.408 * [backup-simplify]: Simplify (- 0) into 0 8.408 * [backup-simplify]: Simplify (+ 0 0) into 0 8.411 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.411 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.411 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.412 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.412 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.412 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.412 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.415 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.415 * [backup-simplify]: Simplify (- 0) into 0 8.415 * [backup-simplify]: Simplify (+ 0 0) into 0 8.416 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.416 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.419 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.420 * [backup-simplify]: Simplify (- 0) into 0 8.420 * [backup-simplify]: Simplify (+ 0 0) into 0 8.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.421 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.422 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 8.422 * [backup-simplify]: Simplify (+ 0 0) into 0 8.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.423 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.423 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.423 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.423 * [taylor]: Taking taylor expansion of 1/2 in U 8.423 * [backup-simplify]: Simplify 1/2 into 1/2 8.423 * [taylor]: Taking taylor expansion of K in U 8.423 * [backup-simplify]: Simplify K into K 8.423 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.423 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.423 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.423 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.423 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.423 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.423 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.423 * [taylor]: Taking taylor expansion of 1 in U 8.423 * [backup-simplify]: Simplify 1 into 1 8.423 * [taylor]: Taking taylor expansion of 1 in U 8.423 * [backup-simplify]: Simplify 1 into 1 8.423 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.424 * [taylor]: Taking taylor expansion of 1/2 in U 8.424 * [backup-simplify]: Simplify 1/2 into 1/2 8.424 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.424 * [taylor]: Taking taylor expansion of U in U 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify 1 into 1 8.424 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.424 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.424 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.424 * [taylor]: Taking taylor expansion of 1/2 in U 8.424 * [backup-simplify]: Simplify 1/2 into 1/2 8.424 * [taylor]: Taking taylor expansion of K in U 8.424 * [backup-simplify]: Simplify K into K 8.424 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.424 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.424 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.424 * [taylor]: Taking taylor expansion of J in U 8.424 * [backup-simplify]: Simplify J into J 8.424 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.424 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.425 * [backup-simplify]: Simplify (- 0) into 0 8.425 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.425 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.425 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.425 * [taylor]: Taking taylor expansion of 1/2 in U 8.425 * [backup-simplify]: Simplify 1/2 into 1/2 8.425 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.425 * [taylor]: Taking taylor expansion of U in U 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 1 into 1 8.425 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.425 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.425 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.425 * [taylor]: Taking taylor expansion of 1/2 in U 8.426 * [backup-simplify]: Simplify 1/2 into 1/2 8.426 * [taylor]: Taking taylor expansion of K in U 8.426 * [backup-simplify]: Simplify K into K 8.426 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.426 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.426 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.426 * [taylor]: Taking taylor expansion of J in U 8.426 * [backup-simplify]: Simplify J into J 8.426 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.426 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.427 * [backup-simplify]: Simplify (- 0) into 0 8.427 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.427 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.427 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.427 * [backup-simplify]: Simplify (* 1 1) into 1 8.428 * [backup-simplify]: Simplify (+ 1 0) into 1 8.428 * [backup-simplify]: Simplify (sqrt 1) into 1 8.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.429 * [backup-simplify]: Simplify (+ 0 0) into 0 8.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.430 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.430 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.430 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.430 * [taylor]: Taking taylor expansion of 1/2 in U 8.430 * [backup-simplify]: Simplify 1/2 into 1/2 8.430 * [taylor]: Taking taylor expansion of K in U 8.430 * [backup-simplify]: Simplify K into K 8.430 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.430 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.430 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.430 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.430 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 8.430 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.430 * [taylor]: Taking taylor expansion of 1 in U 8.430 * [backup-simplify]: Simplify 1 into 1 8.430 * [taylor]: Taking taylor expansion of 1 in U 8.430 * [backup-simplify]: Simplify 1 into 1 8.430 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.430 * [taylor]: Taking taylor expansion of 1/2 in U 8.430 * [backup-simplify]: Simplify 1/2 into 1/2 8.430 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.430 * [taylor]: Taking taylor expansion of U in U 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.431 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.431 * [taylor]: Taking taylor expansion of 1/2 in U 8.431 * [backup-simplify]: Simplify 1/2 into 1/2 8.431 * [taylor]: Taking taylor expansion of K in U 8.431 * [backup-simplify]: Simplify K into K 8.431 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.431 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.431 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.431 * [taylor]: Taking taylor expansion of J in U 8.431 * [backup-simplify]: Simplify J into J 8.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.431 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.431 * [backup-simplify]: Simplify (- 0) into 0 8.432 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.432 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.432 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.432 * [taylor]: Taking taylor expansion of 1/2 in U 8.432 * [backup-simplify]: Simplify 1/2 into 1/2 8.432 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.432 * [taylor]: Taking taylor expansion of U in U 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.432 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.432 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.432 * [taylor]: Taking taylor expansion of 1/2 in U 8.432 * [backup-simplify]: Simplify 1/2 into 1/2 8.432 * [taylor]: Taking taylor expansion of K in U 8.432 * [backup-simplify]: Simplify K into K 8.432 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.432 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.432 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.432 * [taylor]: Taking taylor expansion of J in U 8.432 * [backup-simplify]: Simplify J into J 8.432 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.433 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.433 * [backup-simplify]: Simplify (- 0) into 0 8.433 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.434 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.434 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.434 * [backup-simplify]: Simplify (* 1 1) into 1 8.435 * [backup-simplify]: Simplify (+ 1 0) into 1 8.435 * [backup-simplify]: Simplify (sqrt 1) into 1 8.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.436 * [backup-simplify]: Simplify (+ 0 0) into 0 8.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.437 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.437 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.438 * [backup-simplify]: Simplify (- 0) into 0 8.438 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.438 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.438 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.438 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.438 * [taylor]: Taking taylor expansion of 1/2 in J 8.438 * [backup-simplify]: Simplify 1/2 into 1/2 8.438 * [taylor]: Taking taylor expansion of K in J 8.438 * [backup-simplify]: Simplify K into K 8.438 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.438 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.438 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.439 * [backup-simplify]: Simplify (+ 0) into 0 8.439 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.441 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.441 * [backup-simplify]: Simplify (- 0) into 0 8.442 * [backup-simplify]: Simplify (+ 0 0) into 0 8.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.442 * [taylor]: Taking taylor expansion of 0 in J 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.442 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.443 * [backup-simplify]: Simplify (- 0) into 0 8.443 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.443 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.443 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.443 * [taylor]: Taking taylor expansion of 1/2 in K 8.443 * [backup-simplify]: Simplify 1/2 into 1/2 8.443 * [taylor]: Taking taylor expansion of K in K 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.444 * [backup-simplify]: Simplify 1 into 1 8.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.445 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.445 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.445 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.446 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.446 * [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))) 8.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.447 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.449 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.449 * [backup-simplify]: Simplify (- 0) into 0 8.449 * [backup-simplify]: Simplify (+ 0 0) into 0 8.450 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) 8.450 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 8.450 * [taylor]: Taking taylor expansion of 1/8 in J 8.450 * [backup-simplify]: Simplify 1/8 into 1/8 8.450 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 8.450 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 8.450 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.450 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.450 * [taylor]: Taking taylor expansion of 1/2 in J 8.450 * [backup-simplify]: Simplify 1/2 into 1/2 8.450 * [taylor]: Taking taylor expansion of K in J 8.450 * [backup-simplify]: Simplify K into K 8.450 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.450 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.450 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.450 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.450 * [taylor]: Taking taylor expansion of J in J 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.450 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.451 * [backup-simplify]: Simplify (- 0) into 0 8.451 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.451 * [backup-simplify]: Simplify (* 1 1) into 1 8.451 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.451 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 8.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.452 * [backup-simplify]: Simplify (+ 0) into 0 8.452 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.453 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.453 * [backup-simplify]: Simplify (- 0) into 0 8.454 * [backup-simplify]: Simplify (+ 0 0) into 0 8.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.454 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 8.454 * [taylor]: Taking taylor expansion of 0 in K 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [taylor]: Taking taylor expansion of 0 in K 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify (+ 0) into 0 8.455 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.456 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.456 * [backup-simplify]: Simplify (- 0) into 0 8.457 * [backup-simplify]: Simplify (+ 0 0) into 0 8.457 * [taylor]: Taking taylor expansion of 0 in K 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify (+ 0) into 0 8.457 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.458 * [backup-simplify]: Simplify (+ 0) into 0 8.458 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.459 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.459 * [backup-simplify]: Simplify (- 0) into 0 8.460 * [backup-simplify]: Simplify (+ 0 0) into 0 8.460 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.460 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.461 * [backup-simplify]: Simplify (+ 0) into 0 8.461 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.462 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.463 * [backup-simplify]: Simplify (- 0) into 0 8.463 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.463 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.464 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.465 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.466 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.468 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.468 * [backup-simplify]: Simplify (- 0) into 0 8.468 * [backup-simplify]: Simplify (+ 0 0) into 0 8.469 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 8.469 * [taylor]: Taking taylor expansion of 0 in J 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.470 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.471 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.472 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.472 * [backup-simplify]: Simplify (- 0) into 0 8.472 * [backup-simplify]: Simplify (+ 0 0) into 0 8.472 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 8.473 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 8.473 * [taylor]: Taking taylor expansion of 0 in K 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [taylor]: Taking taylor expansion of 0 in K 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (cos (/ (/ 1 K) 2))) into (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) 8.474 * [approximate]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in (U J K) around 0 8.474 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 8.474 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.474 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.474 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 8.474 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.474 * [taylor]: Taking taylor expansion of 1 in K 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [taylor]: Taking taylor expansion of 1 in K 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.474 * [taylor]: Taking taylor expansion of 1/2 in K 8.474 * [backup-simplify]: Simplify 1/2 into 1/2 8.474 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.474 * [taylor]: Taking taylor expansion of J in K 8.474 * [backup-simplify]: Simplify J into J 8.474 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.474 * [taylor]: Taking taylor expansion of U in K 8.474 * [backup-simplify]: Simplify U into U 8.474 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.474 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.474 * [taylor]: Taking taylor expansion of 1/2 in K 8.474 * [backup-simplify]: Simplify 1/2 into 1/2 8.474 * [taylor]: Taking taylor expansion of K in K 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.474 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.474 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.475 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.475 * [taylor]: Taking taylor expansion of 1/2 in K 8.475 * [backup-simplify]: Simplify 1/2 into 1/2 8.475 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.475 * [taylor]: Taking taylor expansion of J in K 8.475 * [backup-simplify]: Simplify J into J 8.475 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.475 * [taylor]: Taking taylor expansion of U in K 8.475 * [backup-simplify]: Simplify U into U 8.475 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.475 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.475 * [taylor]: Taking taylor expansion of 1/2 in K 8.475 * [backup-simplify]: Simplify 1/2 into 1/2 8.475 * [taylor]: Taking taylor expansion of K in K 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.475 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.475 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.475 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.475 * [backup-simplify]: Simplify (* 1 1) into 1 8.476 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.476 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.476 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.476 * [backup-simplify]: Simplify (+ 1 (* 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) 8.476 * [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)) 8.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.477 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.477 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.478 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.478 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.479 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 8.479 * [backup-simplify]: Simplify (+ 0 0) into 0 8.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.480 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.480 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.480 * [taylor]: Taking taylor expansion of 1/2 in K 8.480 * [backup-simplify]: Simplify 1/2 into 1/2 8.480 * [taylor]: Taking taylor expansion of K in K 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.480 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.480 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.480 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 8.480 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 8.481 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.481 * [taylor]: Taking taylor expansion of 1 in J 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [taylor]: Taking taylor expansion of 1 in J 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.481 * [taylor]: Taking taylor expansion of 1/2 in J 8.481 * [backup-simplify]: Simplify 1/2 into 1/2 8.481 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.481 * [taylor]: Taking taylor expansion of J in J 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.481 * [taylor]: Taking taylor expansion of U in J 8.481 * [backup-simplify]: Simplify U into U 8.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.481 * [taylor]: Taking taylor expansion of 1/2 in J 8.481 * [backup-simplify]: Simplify 1/2 into 1/2 8.481 * [taylor]: Taking taylor expansion of K in J 8.481 * [backup-simplify]: Simplify K into K 8.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.481 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.481 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.482 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.482 * [backup-simplify]: Simplify (- 0) into 0 8.482 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.482 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.482 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.482 * [taylor]: Taking taylor expansion of 1/2 in J 8.482 * [backup-simplify]: Simplify 1/2 into 1/2 8.482 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.482 * [taylor]: Taking taylor expansion of J in J 8.482 * [backup-simplify]: Simplify 0 into 0 8.482 * [backup-simplify]: Simplify 1 into 1 8.482 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.482 * [taylor]: Taking taylor expansion of U in J 8.482 * [backup-simplify]: Simplify U into U 8.483 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.483 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.483 * [taylor]: Taking taylor expansion of 1/2 in J 8.483 * [backup-simplify]: Simplify 1/2 into 1/2 8.483 * [taylor]: Taking taylor expansion of K in J 8.483 * [backup-simplify]: Simplify K into K 8.483 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.483 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.483 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.483 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.483 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.484 * [backup-simplify]: Simplify (- 0) into 0 8.484 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.484 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.484 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.484 * [backup-simplify]: Simplify (* 1 1) into 1 8.485 * [backup-simplify]: Simplify (+ 1 0) into 1 8.485 * [backup-simplify]: Simplify (sqrt 1) into 1 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.487 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.487 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.487 * [taylor]: Taking taylor expansion of 1/2 in J 8.487 * [backup-simplify]: Simplify 1/2 into 1/2 8.487 * [taylor]: Taking taylor expansion of K in J 8.487 * [backup-simplify]: Simplify K into K 8.487 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.487 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.487 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.487 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.487 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 8.487 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.488 * [taylor]: Taking taylor expansion of 1 in U 8.488 * [backup-simplify]: Simplify 1 into 1 8.488 * [taylor]: Taking taylor expansion of 1 in U 8.488 * [backup-simplify]: Simplify 1 into 1 8.488 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.488 * [taylor]: Taking taylor expansion of 1/2 in U 8.488 * [backup-simplify]: Simplify 1/2 into 1/2 8.488 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.488 * [taylor]: Taking taylor expansion of J in U 8.488 * [backup-simplify]: Simplify J into J 8.488 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.488 * [taylor]: Taking taylor expansion of U in U 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 1 into 1 8.488 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.488 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.488 * [taylor]: Taking taylor expansion of 1/2 in U 8.488 * [backup-simplify]: Simplify 1/2 into 1/2 8.488 * [taylor]: Taking taylor expansion of K in U 8.488 * [backup-simplify]: Simplify K into K 8.488 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.488 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.488 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.488 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.488 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.489 * [backup-simplify]: Simplify (- 0) into 0 8.489 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.489 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.489 * [backup-simplify]: Simplify (+ 0) into 0 8.490 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.491 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.492 * [backup-simplify]: Simplify (- 0) into 0 8.492 * [backup-simplify]: Simplify (+ 0 0) into 0 8.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.493 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.493 * [taylor]: Taking taylor expansion of 1/2 in U 8.493 * [backup-simplify]: Simplify 1/2 into 1/2 8.493 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.493 * [taylor]: Taking taylor expansion of J in U 8.493 * [backup-simplify]: Simplify J into J 8.493 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.493 * [taylor]: Taking taylor expansion of U in U 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.493 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.493 * [taylor]: Taking taylor expansion of 1/2 in U 8.493 * [backup-simplify]: Simplify 1/2 into 1/2 8.493 * [taylor]: Taking taylor expansion of K in U 8.493 * [backup-simplify]: Simplify K into K 8.493 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.493 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.493 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.493 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.493 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.494 * [backup-simplify]: Simplify (- 0) into 0 8.494 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.494 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.494 * [backup-simplify]: Simplify (+ 0) into 0 8.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.497 * [backup-simplify]: Simplify (- 0) into 0 8.497 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.498 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.498 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.498 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.498 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.498 * [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))) 8.499 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.500 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.502 * [backup-simplify]: Simplify (- 0) into 0 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.503 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.507 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.507 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.508 * [backup-simplify]: Simplify (- 0) into 0 8.508 * [backup-simplify]: Simplify (+ 0 0) into 0 8.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.509 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.510 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.511 * [backup-simplify]: Simplify (+ 0 0) into 0 8.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.511 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.511 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.511 * [taylor]: Taking taylor expansion of 1/2 in U 8.511 * [backup-simplify]: Simplify 1/2 into 1/2 8.511 * [taylor]: Taking taylor expansion of K in U 8.511 * [backup-simplify]: Simplify K into K 8.511 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.512 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.512 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.512 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.512 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.512 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 8.512 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.512 * [taylor]: Taking taylor expansion of 1 in U 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [taylor]: Taking taylor expansion of 1 in U 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.512 * [taylor]: Taking taylor expansion of 1/2 in U 8.512 * [backup-simplify]: Simplify 1/2 into 1/2 8.512 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.512 * [taylor]: Taking taylor expansion of J in U 8.512 * [backup-simplify]: Simplify J into J 8.512 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.512 * [taylor]: Taking taylor expansion of U in U 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.512 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.512 * [taylor]: Taking taylor expansion of 1/2 in U 8.512 * [backup-simplify]: Simplify 1/2 into 1/2 8.512 * [taylor]: Taking taylor expansion of K in U 8.512 * [backup-simplify]: Simplify K into K 8.512 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.512 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.513 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.513 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.513 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.513 * [backup-simplify]: Simplify (- 0) into 0 8.513 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.513 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.514 * [backup-simplify]: Simplify (+ 0) into 0 8.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.516 * [backup-simplify]: Simplify (- 0) into 0 8.516 * [backup-simplify]: Simplify (+ 0 0) into 0 8.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.517 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.517 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.517 * [taylor]: Taking taylor expansion of 1/2 in U 8.517 * [backup-simplify]: Simplify 1/2 into 1/2 8.517 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.517 * [taylor]: Taking taylor expansion of J in U 8.517 * [backup-simplify]: Simplify J into J 8.517 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.517 * [taylor]: Taking taylor expansion of U in U 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 1 into 1 8.517 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.517 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.517 * [taylor]: Taking taylor expansion of 1/2 in U 8.517 * [backup-simplify]: Simplify 1/2 into 1/2 8.517 * [taylor]: Taking taylor expansion of K in U 8.517 * [backup-simplify]: Simplify K into K 8.517 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.518 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.518 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.518 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.518 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.518 * [backup-simplify]: Simplify (- 0) into 0 8.518 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.518 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.519 * [backup-simplify]: Simplify (+ 0) into 0 8.519 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.519 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.521 * [backup-simplify]: Simplify (- 0) into 0 8.521 * [backup-simplify]: Simplify (+ 0 0) into 0 8.522 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.522 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.522 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.522 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.522 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.523 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.523 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.525 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.526 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.527 * [backup-simplify]: Simplify (- 0) into 0 8.527 * [backup-simplify]: Simplify (+ 0 0) into 0 8.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.529 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.531 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.533 * [backup-simplify]: Simplify (- 0) into 0 8.533 * [backup-simplify]: Simplify (+ 0 0) into 0 8.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.534 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.534 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.535 * [backup-simplify]: Simplify (+ 0 0) into 0 8.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.535 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.535 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.535 * [taylor]: Taking taylor expansion of 1/2 in U 8.535 * [backup-simplify]: Simplify 1/2 into 1/2 8.535 * [taylor]: Taking taylor expansion of K in U 8.535 * [backup-simplify]: Simplify K into K 8.535 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.535 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.535 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.536 * [backup-simplify]: Simplify (- 0) into 0 8.536 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.536 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.536 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 8.536 * [taylor]: Taking taylor expansion of 1/2 in J 8.536 * [backup-simplify]: Simplify 1/2 into 1/2 8.536 * [taylor]: Taking taylor expansion of J in J 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.542 * [taylor]: Taking taylor expansion of 0 in K 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify (+ 0) into 0 8.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.543 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.545 * [backup-simplify]: Simplify (- 0) into 0 8.545 * [backup-simplify]: Simplify (+ 0 0) into 0 8.546 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.546 * [taylor]: Taking taylor expansion of 0 in J 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [taylor]: Taking taylor expansion of 0 in K 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.547 * [taylor]: Taking taylor expansion of 1/2 in K 8.547 * [backup-simplify]: Simplify 1/2 into 1/2 8.547 * [backup-simplify]: Simplify 1/2 into 1/2 8.547 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.550 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.550 * [backup-simplify]: Simplify (- 0) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (* 1 1) into 1 8.552 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.556 * [backup-simplify]: Simplify (- 0) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.558 * [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 8.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.560 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.563 * [backup-simplify]: Simplify (- 0) into 0 8.564 * [backup-simplify]: Simplify (+ 0 0) into 0 8.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.565 * [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 8.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.566 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 8.566 * [backup-simplify]: Simplify (+ 1 0) into 1 8.567 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.567 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 8.568 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 8.568 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.568 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.568 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.568 * [taylor]: Taking taylor expansion of 1/2 in J 8.568 * [backup-simplify]: Simplify 1/2 into 1/2 8.568 * [taylor]: Taking taylor expansion of K in J 8.568 * [backup-simplify]: Simplify K into K 8.568 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.568 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.568 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.568 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.568 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.568 * [backup-simplify]: Simplify (- 0) into 0 8.568 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.568 * [taylor]: Taking taylor expansion of J in J 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.568 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 8.569 * [backup-simplify]: Simplify (+ 0) into 0 8.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.569 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.570 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.570 * [backup-simplify]: Simplify (- 0) into 0 8.570 * [backup-simplify]: Simplify (+ 0 0) into 0 8.570 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 8.571 * [taylor]: Taking taylor expansion of 0 in K 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [taylor]: Taking taylor expansion of 0 in K 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.572 * [taylor]: Taking taylor expansion of 0 in K 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U J)) 8.572 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (cos (/ (/ 1 (- K)) 2))) into (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 8.572 * [approximate]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 8.572 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.572 * [taylor]: Taking taylor expansion of -1/2 in K 8.572 * [backup-simplify]: Simplify -1/2 into -1/2 8.572 * [taylor]: Taking taylor expansion of K in K 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.573 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.573 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.573 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.573 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.573 * [taylor]: Taking taylor expansion of 1 in K 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [taylor]: Taking taylor expansion of 1 in K 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.573 * [taylor]: Taking taylor expansion of 1/2 in K 8.573 * [backup-simplify]: Simplify 1/2 into 1/2 8.573 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.573 * [taylor]: Taking taylor expansion of J in K 8.573 * [backup-simplify]: Simplify J into J 8.573 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.573 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.573 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.573 * [taylor]: Taking taylor expansion of -1/2 in K 8.573 * [backup-simplify]: Simplify -1/2 into -1/2 8.573 * [taylor]: Taking taylor expansion of K in K 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.574 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.574 * [taylor]: Taking taylor expansion of U in K 8.574 * [backup-simplify]: Simplify U into U 8.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.574 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.574 * [taylor]: Taking taylor expansion of 1/2 in K 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 8.574 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.574 * [taylor]: Taking taylor expansion of J in K 8.574 * [backup-simplify]: Simplify J into J 8.574 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.574 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.574 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.574 * [taylor]: Taking taylor expansion of -1/2 in K 8.574 * [backup-simplify]: Simplify -1/2 into -1/2 8.574 * [taylor]: Taking taylor expansion of K in K 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.574 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.574 * [taylor]: Taking taylor expansion of U in K 8.574 * [backup-simplify]: Simplify U into U 8.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.574 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.575 * [backup-simplify]: Simplify (* 1 1) into 1 8.575 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.575 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.575 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.575 * [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))))) 8.575 * [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)))))) 8.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.576 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.577 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.577 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 8.578 * [backup-simplify]: Simplify (+ 0 0) into 0 8.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.578 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.578 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.578 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.578 * [taylor]: Taking taylor expansion of -1/2 in J 8.578 * [backup-simplify]: Simplify -1/2 into -1/2 8.578 * [taylor]: Taking taylor expansion of K in J 8.578 * [backup-simplify]: Simplify K into K 8.578 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.578 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.578 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.578 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.578 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.578 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.578 * [taylor]: Taking taylor expansion of 1 in J 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [taylor]: Taking taylor expansion of 1 in J 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.578 * [taylor]: Taking taylor expansion of 1/2 in J 8.578 * [backup-simplify]: Simplify 1/2 into 1/2 8.578 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.578 * [taylor]: Taking taylor expansion of J in J 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.578 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.578 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.578 * [taylor]: Taking taylor expansion of -1/2 in J 8.578 * [backup-simplify]: Simplify -1/2 into -1/2 8.579 * [taylor]: Taking taylor expansion of K in J 8.579 * [backup-simplify]: Simplify K into K 8.579 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.579 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.579 * [taylor]: Taking taylor expansion of U in J 8.579 * [backup-simplify]: Simplify U into U 8.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.579 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.579 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.579 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.579 * [taylor]: Taking taylor expansion of 1/2 in J 8.579 * [backup-simplify]: Simplify 1/2 into 1/2 8.579 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.579 * [taylor]: Taking taylor expansion of J in J 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.579 * [taylor]: Taking taylor expansion of -1/2 in J 8.579 * [backup-simplify]: Simplify -1/2 into -1/2 8.579 * [taylor]: Taking taylor expansion of K in J 8.579 * [backup-simplify]: Simplify K into K 8.579 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.580 * [taylor]: Taking taylor expansion of U in J 8.580 * [backup-simplify]: Simplify U into U 8.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.580 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.580 * [backup-simplify]: Simplify (- 0) into 0 8.580 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.580 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.580 * [backup-simplify]: Simplify (* 1 1) into 1 8.581 * [backup-simplify]: Simplify (+ 1 0) into 1 8.581 * [backup-simplify]: Simplify (sqrt 1) into 1 8.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.582 * [backup-simplify]: Simplify (+ 0 0) into 0 8.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.582 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.582 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.582 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.582 * [taylor]: Taking taylor expansion of -1/2 in U 8.582 * [backup-simplify]: Simplify -1/2 into -1/2 8.582 * [taylor]: Taking taylor expansion of K in U 8.582 * [backup-simplify]: Simplify K into K 8.582 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.582 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.582 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.582 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.582 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.582 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.582 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.582 * [taylor]: Taking taylor expansion of 1 in U 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of 1 in U 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.582 * [taylor]: Taking taylor expansion of 1/2 in U 8.582 * [backup-simplify]: Simplify 1/2 into 1/2 8.583 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.583 * [taylor]: Taking taylor expansion of J in U 8.583 * [backup-simplify]: Simplify J into J 8.583 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.583 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.583 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.583 * [taylor]: Taking taylor expansion of -1/2 in U 8.583 * [backup-simplify]: Simplify -1/2 into -1/2 8.583 * [taylor]: Taking taylor expansion of K in U 8.583 * [backup-simplify]: Simplify K into K 8.583 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.583 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.583 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.583 * [taylor]: Taking taylor expansion of U in U 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.583 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.583 * [backup-simplify]: Simplify (- 0) into 0 8.583 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.584 * [backup-simplify]: Simplify (+ 0) into 0 8.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.585 * [backup-simplify]: Simplify (- 0) into 0 8.585 * [backup-simplify]: Simplify (+ 0 0) into 0 8.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.586 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.586 * [taylor]: Taking taylor expansion of 1/2 in U 8.586 * [backup-simplify]: Simplify 1/2 into 1/2 8.586 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.586 * [taylor]: Taking taylor expansion of J in U 8.586 * [backup-simplify]: Simplify J into J 8.586 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.586 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.586 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.586 * [taylor]: Taking taylor expansion of -1/2 in U 8.586 * [backup-simplify]: Simplify -1/2 into -1/2 8.586 * [taylor]: Taking taylor expansion of K in U 8.586 * [backup-simplify]: Simplify K into K 8.586 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.586 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.586 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.586 * [taylor]: Taking taylor expansion of U in U 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.586 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.587 * [backup-simplify]: Simplify (- 0) into 0 8.587 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.587 * [backup-simplify]: Simplify (+ 0) into 0 8.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.590 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.590 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.590 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.590 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.590 * [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))) 8.590 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.591 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.592 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.593 * [backup-simplify]: Simplify (- 0) into 0 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.593 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.595 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.595 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.596 * [backup-simplify]: Simplify (- 0) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.597 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.597 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.598 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.598 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.598 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.598 * [taylor]: Taking taylor expansion of -1/2 in U 8.598 * [backup-simplify]: Simplify -1/2 into -1/2 8.598 * [taylor]: Taking taylor expansion of K in U 8.598 * [backup-simplify]: Simplify K into K 8.598 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.598 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.599 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.599 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.599 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.599 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.599 * [taylor]: Taking taylor expansion of 1 in U 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [taylor]: Taking taylor expansion of 1 in U 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.599 * [taylor]: Taking taylor expansion of 1/2 in U 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.599 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.599 * [taylor]: Taking taylor expansion of J in U 8.599 * [backup-simplify]: Simplify J into J 8.599 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.599 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.599 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.599 * [taylor]: Taking taylor expansion of -1/2 in U 8.599 * [backup-simplify]: Simplify -1/2 into -1/2 8.599 * [taylor]: Taking taylor expansion of K in U 8.599 * [backup-simplify]: Simplify K into K 8.599 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.599 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.599 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.599 * [taylor]: Taking taylor expansion of U in U 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.600 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.600 * [backup-simplify]: Simplify (- 0) into 0 8.600 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.600 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.601 * [backup-simplify]: Simplify (+ 0) into 0 8.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.601 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.602 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.603 * [backup-simplify]: Simplify (- 0) into 0 8.603 * [backup-simplify]: Simplify (+ 0 0) into 0 8.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.604 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.604 * [taylor]: Taking taylor expansion of 1/2 in U 8.604 * [backup-simplify]: Simplify 1/2 into 1/2 8.604 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.604 * [taylor]: Taking taylor expansion of J in U 8.604 * [backup-simplify]: Simplify J into J 8.604 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.604 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.604 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.604 * [taylor]: Taking taylor expansion of -1/2 in U 8.604 * [backup-simplify]: Simplify -1/2 into -1/2 8.604 * [taylor]: Taking taylor expansion of K in U 8.604 * [backup-simplify]: Simplify K into K 8.604 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.604 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.604 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.604 * [taylor]: Taking taylor expansion of U in U 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.605 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.605 * [backup-simplify]: Simplify (- 0) into 0 8.605 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.606 * [backup-simplify]: Simplify (+ 0) into 0 8.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.608 * [backup-simplify]: Simplify (- 0) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.609 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.609 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.609 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.609 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.610 * [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))) 8.610 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.611 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.612 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.613 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.613 * [backup-simplify]: Simplify (- 0) into 0 8.614 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.615 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.619 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.620 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.621 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.621 * [backup-simplify]: Simplify (+ 0 0) into 0 8.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.622 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.622 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.622 * [backup-simplify]: Simplify (- 0) into 0 8.622 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.622 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.622 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 8.622 * [taylor]: Taking taylor expansion of 1/2 in J 8.622 * [backup-simplify]: Simplify 1/2 into 1/2 8.623 * [taylor]: Taking taylor expansion of J in J 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 1 into 1 8.623 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.623 * [taylor]: Taking taylor expansion of 0 in K 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify (+ 0) into 0 8.624 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.625 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.626 * [backup-simplify]: Simplify (- 0) into 0 8.626 * [backup-simplify]: Simplify (+ 0 0) into 0 8.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.627 * [taylor]: Taking taylor expansion of 0 in J 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [taylor]: Taking taylor expansion of 0 in K 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.628 * [taylor]: Taking taylor expansion of 1/2 in K 8.628 * [backup-simplify]: Simplify 1/2 into 1/2 8.628 * [backup-simplify]: Simplify 1/2 into 1/2 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (* 1 1) into 1 8.629 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.632 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.633 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.633 * [backup-simplify]: Simplify (- 0) into 0 8.633 * [backup-simplify]: Simplify (+ 0 0) into 0 8.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.635 * [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 8.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.640 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.640 * [backup-simplify]: Simplify (- 0) into 0 8.641 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.642 * [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 8.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.643 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 8.644 * [backup-simplify]: Simplify (+ 1 0) into 1 8.645 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.648 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.649 * [backup-simplify]: Simplify (- 0) into 0 8.649 * [backup-simplify]: Simplify (+ 0 0) into 0 8.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 8.650 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 8.650 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.650 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.650 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.650 * [taylor]: Taking taylor expansion of -1/2 in J 8.650 * [backup-simplify]: Simplify -1/2 into -1/2 8.650 * [taylor]: Taking taylor expansion of K in J 8.650 * [backup-simplify]: Simplify K into K 8.650 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.651 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.651 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.651 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.651 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.651 * [backup-simplify]: Simplify (- 0) into 0 8.651 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.651 * [taylor]: Taking taylor expansion of J in J 8.651 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify 1 into 1 8.652 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.652 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.652 * [backup-simplify]: Simplify (+ 0) into 0 8.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.654 * [backup-simplify]: Simplify (- 0) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 8.656 * [taylor]: Taking taylor expansion of 0 in K 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [taylor]: Taking taylor expansion of 0 in K 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.657 * [taylor]: Taking taylor expansion of 0 in K 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U J)) 8.658 * * * [progress]: simplifying candidates 8.658 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 8.658 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 8.659 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 8.660 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 8.661 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 8.661 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 8.661 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 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[progress]: [ 76 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 8.662 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 8.663 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 8.664 * [simplify]: Simplifying: (expm1 (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (log1p (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (+ (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (log (cos (/ K 2)))) (+ (log -2) (log J))) (+ (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (log (cos (/ K 2)))) (log (* -2 J))) (+ (log (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (+ (log -2) (log J))) (+ (log (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (log (* -2 J))) (log (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (exp (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) (* (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) (* (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) (* (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) (* (cbrt (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) -2) (* (cos (/ K 2)) (* -2 J)) (expm1 (* (* J 2) (cos (/ K 2)))) (log1p (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))) (+ (+ (log J) (log 2)) (log (cos (/ K 2)))) (+ (log (* J 2)) (log (cos (/ K 2)))) (log (* (* J 2) (cos (/ K 2)))) (exp (* (* J 2) (cos (/ K 2)))) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2)))) (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* J 2) (sqrt (cos (/ K 2)))) (* (* J 2) 1) (* 2 (cos (/ K 2))) (expm1 (/ U (* (* J 2) (cos (/ K 2))))) (log1p (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))) (exp (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (- U) (- (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1 (* J 2)) (/ U (cos (/ K 2))) (/ 1 (* (* J 2) (cos (/ K 2)))) (/ (* (* J 2) (cos (/ K 2))) U) (/ U (* J 2)) (/ (* (* J 2) (cos (/ K 2))) (cbrt U)) (/ (* (* J 2) (cos (/ K 2))) (sqrt U)) (/ (* (* J 2) (cos (/ K 2))) U) (expm1 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (log1p (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (log (cos (/ K 2)))) (log (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (exp (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2)))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (cos (/ K 2)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (cos (/ K 2)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) 1) (* (cbrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (cos (/ K 2))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (* 2 J) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U J)) (* 1/2 (/ U J)) 8.666 * * [simplify]: iteration 1: (156 enodes) 8.703 * * [simplify]: iteration 2: (403 enodes) 8.838 * * [simplify]: iteration 3: (1457 enodes) 12.546 * * [simplify]: Extracting #0: cost 65 inf + 0 12.548 * * [simplify]: Extracting #1: cost 1027 inf + 1 12.556 * * [simplify]: Extracting #2: cost 2399 inf + 1985 12.578 * * [simplify]: Extracting #3: cost 1976 inf + 56449 12.632 * * [simplify]: Extracting #4: cost 1387 inf + 176827 12.756 * * [simplify]: Extracting #5: cost 575 inf + 408163 12.967 * * [simplify]: Extracting #6: cost 101 inf + 606754 13.208 * * [simplify]: Extracting #7: cost 1 inf + 654247 13.470 * * [simplify]: Extracting #8: cost 0 inf + 654728 13.696 * [simplify]: Simplified to: (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (expm1 (* (* (cos (/ K 2)) 2) J)) (log1p (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J) (log (* (* (cos (/ K 2)) 2) J)) (log (* (* (cos (/ K 2)) 2) J)) (log (* (* (cos (/ K 2)) 2) J)) (exp (* (* (cos (/ K 2)) 2) J)) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (cbrt (* (* (cos (/ K 2)) 2) J)) (cbrt (* (* (cos (/ K 2)) 2) J))) (cbrt (* (* (cos (/ K 2)) 2) J)) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (sqrt (* (* (cos (/ K 2)) 2) J)) (sqrt (* (* (cos (/ K 2)) 2) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J 2)) (* (* J 2) (sqrt (cos (/ K 2)))) (* J 2) (* 2 (cos (/ K 2))) (expm1 (/ (/ U J) (* 2 (cos (/ K 2))))) (log1p (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (log (/ (/ U J) (* 2 (cos (/ K 2))))) (exp (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (cbrt (/ (/ U J) (* 2 (cos (/ K 2))))) (cbrt (/ (/ U J) (* 2 (cos (/ K 2)))))) (cbrt (/ (/ U J) (* 2 (cos (/ K 2))))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) (sqrt (/ (/ U J) (* 2 (cos (/ K 2))))) (sqrt (/ (/ U J) (* 2 (cos (/ K 2))))) (- U) (* (* -2 J) (cos (/ K 2))) (/ (* (cbrt U) (/ (cbrt U) 2)) J) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1/2 J) (/ U (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))) (/ (* J 2) (/ U (cos (/ K 2)))) (/ (/ U J) 2) (/ (* J 2) (/ (cbrt U) (cos (/ K 2)))) (/ J (/ (/ (sqrt U) (cos (/ K 2))) 2)) (/ (* J 2) (/ U (cos (/ K 2)))) (expm1 (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log1p (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (log (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (log (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (exp (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (cos (/ K 2)))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (cos (/ K 2)))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (sqrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (* (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))) (* (cbrt (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (cos (/ K 2))) (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2))))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* 2 (cos (/ K 2)))))) (+ (* -2 J) (* -1/4 (* (/ U J) U))) (- U) (- U) (* J 2) (* (* J 2) (cos (* 1/2 K))) (* (* J 2) (cos (* 1/2 K))) (fma 1/2 (/ U J) (* (/ (* K K) J) (* U 1/16))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) 1 (/ (* 1/2 U) J) (/ (* 1/2 U) J) 13.709 * * * [progress]: adding candidates to table 14.938 * * [progress]: iteration 3 / 4 14.938 * * * [progress]: picking best candidate 14.973 * * * * [pick]: Picked # 14.973 * * * [progress]: localizing error 15.058 * * * [progress]: generating rewritten candidates 15.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 15.104 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 15.170 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 15.203 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 15.226 * * * [progress]: generating series expansions 15.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 15.227 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 15.227 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 15.227 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 15.227 * [taylor]: Taking taylor expansion of -2 in K 15.227 * [backup-simplify]: Simplify -2 into -2 15.227 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 15.227 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.227 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.227 * [taylor]: Taking taylor expansion of 1/2 in K 15.227 * [backup-simplify]: Simplify 1/2 into 1/2 15.227 * [taylor]: Taking taylor expansion of K in K 15.227 * [backup-simplify]: Simplify 0 into 0 15.227 * [backup-simplify]: Simplify 1 into 1 15.228 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.228 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.228 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 15.228 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.228 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.228 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 15.228 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.228 * [taylor]: Taking taylor expansion of 1 in K 15.229 * [backup-simplify]: Simplify 1 into 1 15.229 * [taylor]: Taking taylor expansion of 1 in K 15.229 * [backup-simplify]: Simplify 1 into 1 15.229 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.229 * [taylor]: Taking taylor expansion of 1/2 in K 15.229 * [backup-simplify]: Simplify 1/2 into 1/2 15.229 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.229 * [taylor]: Taking taylor expansion of U in K 15.229 * [backup-simplify]: Simplify U into U 15.229 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.229 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.229 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.229 * [taylor]: Taking taylor expansion of 1/2 in K 15.229 * [backup-simplify]: Simplify 1/2 into 1/2 15.229 * [taylor]: Taking taylor expansion of K in K 15.229 * [backup-simplify]: Simplify 0 into 0 15.229 * [backup-simplify]: Simplify 1 into 1 15.229 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.230 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.230 * [taylor]: Taking taylor expansion of J in K 15.230 * [backup-simplify]: Simplify J into J 15.230 * [backup-simplify]: Simplify (* 1 J) into J 15.230 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.230 * [taylor]: Taking taylor expansion of 1/2 in K 15.230 * [backup-simplify]: Simplify 1/2 into 1/2 15.230 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.230 * [taylor]: Taking taylor expansion of U in K 15.230 * [backup-simplify]: Simplify U into U 15.230 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.230 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.230 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.230 * [taylor]: Taking taylor expansion of 1/2 in K 15.230 * [backup-simplify]: Simplify 1/2 into 1/2 15.230 * [taylor]: Taking taylor expansion of K in K 15.230 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify 1 into 1 15.230 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.231 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.231 * [taylor]: Taking taylor expansion of J in K 15.231 * [backup-simplify]: Simplify J into J 15.231 * [backup-simplify]: Simplify (* 1 J) into J 15.231 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.231 * [backup-simplify]: Simplify (* 1 1) into 1 15.231 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.231 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.231 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.231 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.232 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.233 * [backup-simplify]: Simplify (+ 0) into 0 15.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.233 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.234 * [backup-simplify]: Simplify (+ 0) into 0 15.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.234 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.235 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 15.235 * [backup-simplify]: Simplify (+ 0 0) into 0 15.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.235 * [taylor]: Taking taylor expansion of J in K 15.235 * [backup-simplify]: Simplify J into J 15.235 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 15.235 * [taylor]: Taking taylor expansion of -2 in J 15.235 * [backup-simplify]: Simplify -2 into -2 15.235 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 15.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.235 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.235 * [taylor]: Taking taylor expansion of 1/2 in J 15.235 * [backup-simplify]: Simplify 1/2 into 1/2 15.235 * [taylor]: Taking taylor expansion of K in J 15.235 * [backup-simplify]: Simplify K into K 15.235 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.235 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.235 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.236 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 15.236 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.236 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 15.236 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.236 * [taylor]: Taking taylor expansion of 1 in J 15.236 * [backup-simplify]: Simplify 1 into 1 15.236 * [taylor]: Taking taylor expansion of 1 in J 15.236 * [backup-simplify]: Simplify 1 into 1 15.236 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.236 * [taylor]: Taking taylor expansion of 1/2 in J 15.236 * [backup-simplify]: Simplify 1/2 into 1/2 15.236 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.236 * [taylor]: Taking taylor expansion of U in J 15.236 * [backup-simplify]: Simplify U into U 15.236 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.236 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.236 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.236 * [taylor]: Taking taylor expansion of 1/2 in J 15.236 * [backup-simplify]: Simplify 1/2 into 1/2 15.236 * [taylor]: Taking taylor expansion of K in J 15.236 * [backup-simplify]: Simplify K into K 15.236 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.236 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.236 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.236 * [taylor]: Taking taylor expansion of J in J 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 1 into 1 15.236 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.236 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.236 * [backup-simplify]: Simplify (- 0) into 0 15.237 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.237 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.237 * [backup-simplify]: Simplify (+ 0) into 0 15.237 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.238 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.238 * [backup-simplify]: Simplify (- 0) into 0 15.239 * [backup-simplify]: Simplify (+ 0 0) into 0 15.239 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.239 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.239 * [taylor]: Taking taylor expansion of 1/2 in J 15.239 * [backup-simplify]: Simplify 1/2 into 1/2 15.239 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.239 * [taylor]: Taking taylor expansion of U in J 15.239 * [backup-simplify]: Simplify U into U 15.239 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.239 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.239 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.239 * [taylor]: Taking taylor expansion of 1/2 in J 15.239 * [backup-simplify]: Simplify 1/2 into 1/2 15.239 * [taylor]: Taking taylor expansion of K in J 15.239 * [backup-simplify]: Simplify K into K 15.239 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.239 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.239 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.239 * [taylor]: Taking taylor expansion of J in J 15.239 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify 1 into 1 15.240 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.240 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.240 * [backup-simplify]: Simplify (- 0) into 0 15.240 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.240 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.240 * [backup-simplify]: Simplify (+ 0) into 0 15.241 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.242 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.242 * [backup-simplify]: Simplify (- 0) into 0 15.242 * [backup-simplify]: Simplify (+ 0 0) into 0 15.242 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.242 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.242 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.243 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.243 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.243 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.243 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.245 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.246 * [backup-simplify]: Simplify (- 0) into 0 15.246 * [backup-simplify]: Simplify (+ 0 0) into 0 15.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.246 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.249 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.249 * [backup-simplify]: Simplify (- 0) into 0 15.250 * [backup-simplify]: Simplify (+ 0 0) into 0 15.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.250 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.251 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 15.251 * [backup-simplify]: Simplify (+ 0 0) into 0 15.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.251 * [taylor]: Taking taylor expansion of J in J 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 15.251 * [taylor]: Taking taylor expansion of -2 in U 15.251 * [backup-simplify]: Simplify -2 into -2 15.251 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 15.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.251 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.251 * [taylor]: Taking taylor expansion of 1/2 in U 15.251 * [backup-simplify]: Simplify 1/2 into 1/2 15.251 * [taylor]: Taking taylor expansion of K in U 15.251 * [backup-simplify]: Simplify K into K 15.251 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.252 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.252 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.252 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 15.252 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.252 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.252 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.252 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.252 * [taylor]: Taking taylor expansion of 1 in U 15.252 * [backup-simplify]: Simplify 1 into 1 15.252 * [taylor]: Taking taylor expansion of 1 in U 15.252 * [backup-simplify]: Simplify 1 into 1 15.252 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.252 * [taylor]: Taking taylor expansion of 1/2 in U 15.252 * [backup-simplify]: Simplify 1/2 into 1/2 15.252 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.252 * [taylor]: Taking taylor expansion of U in U 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify 1 into 1 15.252 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.252 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.252 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.252 * [taylor]: Taking taylor expansion of 1/2 in U 15.252 * [backup-simplify]: Simplify 1/2 into 1/2 15.252 * [taylor]: Taking taylor expansion of K in U 15.252 * [backup-simplify]: Simplify K into K 15.252 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.252 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.252 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.252 * [taylor]: Taking taylor expansion of J in U 15.252 * [backup-simplify]: Simplify J into J 15.252 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.252 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.253 * [backup-simplify]: Simplify (- 0) into 0 15.253 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.253 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.253 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.253 * [taylor]: Taking taylor expansion of 1/2 in U 15.253 * [backup-simplify]: Simplify 1/2 into 1/2 15.253 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.253 * [taylor]: Taking taylor expansion of U in U 15.253 * [backup-simplify]: Simplify 0 into 0 15.253 * [backup-simplify]: Simplify 1 into 1 15.253 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.253 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.253 * [taylor]: Taking taylor expansion of 1/2 in U 15.253 * [backup-simplify]: Simplify 1/2 into 1/2 15.253 * [taylor]: Taking taylor expansion of K in U 15.253 * [backup-simplify]: Simplify K into K 15.253 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.253 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.253 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.253 * [taylor]: Taking taylor expansion of J in U 15.253 * [backup-simplify]: Simplify J into J 15.253 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.253 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.254 * [backup-simplify]: Simplify (- 0) into 0 15.254 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.254 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.254 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.254 * [backup-simplify]: Simplify (* 1 1) into 1 15.254 * [backup-simplify]: Simplify (+ 1 0) into 1 15.254 * [backup-simplify]: Simplify (sqrt 1) into 1 15.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.255 * [backup-simplify]: Simplify (+ 0 0) into 0 15.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.256 * [taylor]: Taking taylor expansion of J in U 15.256 * [backup-simplify]: Simplify J into J 15.256 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 15.256 * [taylor]: Taking taylor expansion of -2 in U 15.256 * [backup-simplify]: Simplify -2 into -2 15.256 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 15.256 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.256 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.256 * [taylor]: Taking taylor expansion of 1/2 in U 15.256 * [backup-simplify]: Simplify 1/2 into 1/2 15.256 * [taylor]: Taking taylor expansion of K in U 15.256 * [backup-simplify]: Simplify K into K 15.256 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.256 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.256 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.256 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 15.256 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.256 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.256 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.256 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.256 * [taylor]: Taking taylor expansion of 1 in U 15.256 * [backup-simplify]: Simplify 1 into 1 15.256 * [taylor]: Taking taylor expansion of 1 in U 15.256 * [backup-simplify]: Simplify 1 into 1 15.256 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.256 * [taylor]: Taking taylor expansion of 1/2 in U 15.256 * [backup-simplify]: Simplify 1/2 into 1/2 15.256 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.256 * [taylor]: Taking taylor expansion of U in U 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify 1 into 1 15.256 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.256 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.256 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.256 * [taylor]: Taking taylor expansion of 1/2 in U 15.256 * [backup-simplify]: Simplify 1/2 into 1/2 15.256 * [taylor]: Taking taylor expansion of K in U 15.256 * [backup-simplify]: Simplify K into K 15.256 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.256 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.256 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.256 * [taylor]: Taking taylor expansion of J in U 15.256 * [backup-simplify]: Simplify J into J 15.256 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.257 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.257 * [backup-simplify]: Simplify (- 0) into 0 15.257 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.257 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.257 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.257 * [taylor]: Taking taylor expansion of 1/2 in U 15.257 * [backup-simplify]: Simplify 1/2 into 1/2 15.257 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.257 * [taylor]: Taking taylor expansion of U in U 15.257 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify 1 into 1 15.257 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.257 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.257 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.257 * [taylor]: Taking taylor expansion of 1/2 in U 15.257 * [backup-simplify]: Simplify 1/2 into 1/2 15.257 * [taylor]: Taking taylor expansion of K in U 15.257 * [backup-simplify]: Simplify K into K 15.257 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.257 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.257 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.257 * [taylor]: Taking taylor expansion of J in U 15.257 * [backup-simplify]: Simplify J into J 15.257 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.257 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.258 * [backup-simplify]: Simplify (- 0) into 0 15.258 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.258 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.258 * [backup-simplify]: Simplify (* 1 1) into 1 15.258 * [backup-simplify]: Simplify (+ 1 0) into 1 15.259 * [backup-simplify]: Simplify (sqrt 1) into 1 15.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.259 * [backup-simplify]: Simplify (+ 0 0) into 0 15.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.260 * [taylor]: Taking taylor expansion of J in U 15.260 * [backup-simplify]: Simplify J into J 15.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.260 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.260 * [backup-simplify]: Simplify (- 0) into 0 15.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.260 * [backup-simplify]: Simplify (* 1 J) into J 15.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.260 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 15.260 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 15.260 * [taylor]: Taking taylor expansion of -2 in J 15.260 * [backup-simplify]: Simplify -2 into -2 15.260 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.260 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.261 * [taylor]: Taking taylor expansion of 1/2 in J 15.261 * [backup-simplify]: Simplify 1/2 into 1/2 15.261 * [taylor]: Taking taylor expansion of K in J 15.261 * [backup-simplify]: Simplify K into K 15.261 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.261 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.261 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.261 * [taylor]: Taking taylor expansion of J in J 15.261 * [backup-simplify]: Simplify 0 into 0 15.261 * [backup-simplify]: Simplify 1 into 1 15.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.261 * [backup-simplify]: Simplify (+ 0) into 0 15.262 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.263 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.263 * [backup-simplify]: Simplify (- 0) into 0 15.263 * [backup-simplify]: Simplify (+ 0 0) into 0 15.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 15.264 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 15.264 * [taylor]: Taking taylor expansion of 0 in J 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.264 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.264 * [backup-simplify]: Simplify (- 0) into 0 15.264 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.264 * [backup-simplify]: Simplify (* -2 0) into 0 15.264 * [taylor]: Taking taylor expansion of 0 in K 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 0 into 0 15.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.265 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 15.265 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 15.265 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.265 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.266 * [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))) 15.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 15.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.269 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.270 * [backup-simplify]: Simplify (- 0) into 0 15.270 * [backup-simplify]: Simplify (+ 0 0) into 0 15.270 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 15.271 * [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)))) 15.271 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 15.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 15.271 * [taylor]: Taking taylor expansion of 1/4 in J 15.271 * [backup-simplify]: Simplify 1/4 into 1/4 15.271 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 15.271 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.271 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.271 * [taylor]: Taking taylor expansion of 1/2 in J 15.271 * [backup-simplify]: Simplify 1/2 into 1/2 15.271 * [taylor]: Taking taylor expansion of K in J 15.271 * [backup-simplify]: Simplify K into K 15.271 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.271 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.271 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.271 * [taylor]: Taking taylor expansion of J in J 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 1 into 1 15.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.271 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.271 * [backup-simplify]: Simplify (- 0) into 0 15.271 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.272 * [backup-simplify]: Simplify (+ 0) into 0 15.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.274 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.274 * [backup-simplify]: Simplify (- 0) into 0 15.274 * [backup-simplify]: Simplify (+ 0 0) into 0 15.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.274 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 15.274 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 15.275 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 15.275 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 15.275 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 15.275 * [taylor]: Taking taylor expansion of 1/4 in K 15.275 * [backup-simplify]: Simplify 1/4 into 1/4 15.275 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 15.275 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.275 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.275 * [taylor]: Taking taylor expansion of 1/2 in K 15.275 * [backup-simplify]: Simplify 1/2 into 1/2 15.275 * [taylor]: Taking taylor expansion of K in K 15.275 * [backup-simplify]: Simplify 0 into 0 15.275 * [backup-simplify]: Simplify 1 into 1 15.275 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.276 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.276 * [backup-simplify]: Simplify (/ 1 1) into 1 15.276 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 15.276 * [backup-simplify]: Simplify (- 1/4) into -1/4 15.276 * [backup-simplify]: Simplify -1/4 into -1/4 15.276 * [taylor]: Taking taylor expansion of 0 in K 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify (+ 0) into 0 15.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.279 * [backup-simplify]: Simplify (- 0) into 0 15.279 * [backup-simplify]: Simplify (+ 0 0) into 0 15.279 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.279 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 15.280 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 15.280 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 15.280 * [taylor]: Taking taylor expansion of 2 in K 15.280 * [backup-simplify]: Simplify 2 into 2 15.280 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.280 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.280 * [taylor]: Taking taylor expansion of 1/2 in K 15.280 * [backup-simplify]: Simplify 1/2 into 1/2 15.280 * [taylor]: Taking taylor expansion of K in K 15.280 * [backup-simplify]: Simplify 0 into 0 15.280 * [backup-simplify]: Simplify 1 into 1 15.280 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.280 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.281 * [backup-simplify]: Simplify (* 2 1) into 2 15.281 * [backup-simplify]: Simplify (- 2) into -2 15.281 * [backup-simplify]: Simplify -2 into -2 15.281 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.282 * [backup-simplify]: Simplify (+ 0) into 0 15.282 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.283 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.283 * [backup-simplify]: Simplify (- 0) into 0 15.284 * [backup-simplify]: Simplify (+ 0 0) into 0 15.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 15.284 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 15.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 15.285 * [backup-simplify]: Simplify (+ 0) into 0 15.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.287 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.287 * [backup-simplify]: Simplify (- 0) into 0 15.287 * [backup-simplify]: Simplify (+ 0 0) into 0 15.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 15.288 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 15.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 15.289 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 15.289 * [backup-simplify]: Simplify (+ 0 0) into 0 15.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 15.291 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.292 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 15.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.296 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.296 * [backup-simplify]: Simplify (- 0) into 0 15.297 * [backup-simplify]: Simplify (+ 0 0) into 0 15.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 15.299 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 15.299 * [taylor]: Taking taylor expansion of 0 in J 15.299 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.301 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.302 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.303 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.303 * [backup-simplify]: Simplify (- 0) into 0 15.304 * [backup-simplify]: Simplify (+ 0 0) into 0 15.305 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 15.306 * [backup-simplify]: Simplify (- 0) into 0 15.306 * [taylor]: Taking taylor expansion of 0 in K 15.306 * [backup-simplify]: Simplify 0 into 0 15.306 * [backup-simplify]: Simplify 0 into 0 15.306 * [taylor]: Taking taylor expansion of 0 in K 15.306 * [backup-simplify]: Simplify 0 into 0 15.306 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.311 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.311 * [backup-simplify]: Simplify (- 0) into 0 15.311 * [backup-simplify]: Simplify (+ 0 0) into 0 15.312 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.313 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 15.313 * [taylor]: Taking taylor expansion of 0 in K 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 0 into 0 15.314 * [backup-simplify]: Simplify (+ 0) into 0 15.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.315 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 15.316 * [backup-simplify]: Simplify (- 0) into 0 15.316 * [backup-simplify]: Simplify 0 into 0 15.316 * [backup-simplify]: Simplify 0 into 0 15.316 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 15.316 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 15.316 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 15.316 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 15.317 * [taylor]: Taking taylor expansion of -2 in K 15.317 * [backup-simplify]: Simplify -2 into -2 15.317 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 15.317 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 15.317 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 15.317 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.317 * [taylor]: Taking taylor expansion of 1 in K 15.317 * [backup-simplify]: Simplify 1 into 1 15.317 * [taylor]: Taking taylor expansion of 1 in K 15.317 * [backup-simplify]: Simplify 1 into 1 15.317 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.317 * [taylor]: Taking taylor expansion of 1/2 in K 15.317 * [backup-simplify]: Simplify 1/2 into 1/2 15.317 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.317 * [taylor]: Taking taylor expansion of J in K 15.317 * [backup-simplify]: Simplify J into J 15.317 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.317 * [taylor]: Taking taylor expansion of U in K 15.317 * [backup-simplify]: Simplify U into U 15.317 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.317 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.317 * [taylor]: Taking taylor expansion of 1/2 in K 15.317 * [backup-simplify]: Simplify 1/2 into 1/2 15.317 * [taylor]: Taking taylor expansion of K in K 15.317 * [backup-simplify]: Simplify 0 into 0 15.317 * [backup-simplify]: Simplify 1 into 1 15.318 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.318 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.318 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.318 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.318 * [taylor]: Taking taylor expansion of 1/2 in K 15.318 * [backup-simplify]: Simplify 1/2 into 1/2 15.318 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.318 * [taylor]: Taking taylor expansion of J in K 15.318 * [backup-simplify]: Simplify J into J 15.318 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.318 * [taylor]: Taking taylor expansion of U in K 15.318 * [backup-simplify]: Simplify U into U 15.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.319 * [taylor]: Taking taylor expansion of 1/2 in K 15.319 * [backup-simplify]: Simplify 1/2 into 1/2 15.319 * [taylor]: Taking taylor expansion of K in K 15.319 * [backup-simplify]: Simplify 0 into 0 15.319 * [backup-simplify]: Simplify 1 into 1 15.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.319 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.319 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.320 * [backup-simplify]: Simplify (* 1 1) into 1 15.320 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.320 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.320 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.321 * [backup-simplify]: Simplify (+ 1 (* 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) 15.321 * [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)) 15.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.322 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.323 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.323 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.324 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.324 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 15.325 * [backup-simplify]: Simplify (+ 0 0) into 0 15.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.325 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.325 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.325 * [taylor]: Taking taylor expansion of 1/2 in K 15.325 * [backup-simplify]: Simplify 1/2 into 1/2 15.325 * [taylor]: Taking taylor expansion of K in K 15.325 * [backup-simplify]: Simplify 0 into 0 15.325 * [backup-simplify]: Simplify 1 into 1 15.326 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.326 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.326 * [taylor]: Taking taylor expansion of J in K 15.326 * [backup-simplify]: Simplify J into J 15.326 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 15.327 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 15.327 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 15.327 * [taylor]: Taking taylor expansion of -2 in J 15.327 * [backup-simplify]: Simplify -2 into -2 15.327 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 15.327 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 15.327 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 15.327 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.327 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 15.327 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.327 * [taylor]: Taking taylor expansion of 1 in J 15.327 * [backup-simplify]: Simplify 1 into 1 15.327 * [taylor]: Taking taylor expansion of 1 in J 15.328 * [backup-simplify]: Simplify 1 into 1 15.328 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 15.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 15.328 * [taylor]: Taking taylor expansion of 1/2 in J 15.328 * [backup-simplify]: Simplify 1/2 into 1/2 15.328 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 15.328 * [taylor]: Taking taylor expansion of J in J 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify 1 into 1 15.328 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 15.328 * [taylor]: Taking taylor expansion of U in J 15.328 * [backup-simplify]: Simplify U into U 15.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.328 * [taylor]: Taking taylor expansion of 1/2 in J 15.328 * [backup-simplify]: Simplify 1/2 into 1/2 15.328 * [taylor]: Taking taylor expansion of K in J 15.328 * [backup-simplify]: Simplify K into K 15.328 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.328 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.328 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.328 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.329 * [backup-simplify]: Simplify (- 0) into 0 15.329 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.329 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.330 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 15.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 15.330 * [taylor]: Taking taylor expansion of 1/2 in J 15.330 * [backup-simplify]: Simplify 1/2 into 1/2 15.330 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 15.330 * [taylor]: Taking taylor expansion of J in J 15.330 * [backup-simplify]: Simplify 0 into 0 15.330 * [backup-simplify]: Simplify 1 into 1 15.330 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 15.330 * [taylor]: Taking taylor expansion of U in J 15.330 * [backup-simplify]: Simplify U into U 15.330 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.330 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.330 * [taylor]: Taking taylor expansion of 1/2 in J 15.330 * [backup-simplify]: Simplify 1/2 into 1/2 15.330 * [taylor]: Taking taylor expansion of K in J 15.330 * [backup-simplify]: Simplify K into K 15.330 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.330 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.330 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.330 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.330 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.331 * [backup-simplify]: Simplify (- 0) into 0 15.331 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.331 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.331 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 15.331 * [backup-simplify]: Simplify (* 1 1) into 1 15.332 * [backup-simplify]: Simplify (+ 1 0) into 1 15.332 * [backup-simplify]: Simplify (sqrt 1) into 1 15.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.333 * [backup-simplify]: Simplify (+ 0 0) into 0 15.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.334 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.334 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.334 * [taylor]: Taking taylor expansion of 1/2 in J 15.334 * [backup-simplify]: Simplify 1/2 into 1/2 15.334 * [taylor]: Taking taylor expansion of K in J 15.334 * [backup-simplify]: Simplify K into K 15.334 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.334 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.334 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.334 * [taylor]: Taking taylor expansion of J in J 15.334 * [backup-simplify]: Simplify 0 into 0 15.334 * [backup-simplify]: Simplify 1 into 1 15.334 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.335 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.335 * [backup-simplify]: Simplify (- 0) into 0 15.335 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.335 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 15.335 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.335 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 15.335 * [taylor]: Taking taylor expansion of -2 in U 15.335 * [backup-simplify]: Simplify -2 into -2 15.335 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 15.335 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 15.335 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.335 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 15.336 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.336 * [taylor]: Taking taylor expansion of 1 in U 15.336 * [backup-simplify]: Simplify 1 into 1 15.336 * [taylor]: Taking taylor expansion of 1 in U 15.336 * [backup-simplify]: Simplify 1 into 1 15.336 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.336 * [taylor]: Taking taylor expansion of 1/2 in U 15.336 * [backup-simplify]: Simplify 1/2 into 1/2 15.336 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.336 * [taylor]: Taking taylor expansion of J in U 15.336 * [backup-simplify]: Simplify J into J 15.336 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.336 * [taylor]: Taking taylor expansion of U in U 15.336 * [backup-simplify]: Simplify 0 into 0 15.336 * [backup-simplify]: Simplify 1 into 1 15.336 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.336 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.336 * [taylor]: Taking taylor expansion of 1/2 in U 15.336 * [backup-simplify]: Simplify 1/2 into 1/2 15.336 * [taylor]: Taking taylor expansion of K in U 15.336 * [backup-simplify]: Simplify K into K 15.336 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.336 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.336 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.336 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.336 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.337 * [backup-simplify]: Simplify (- 0) into 0 15.337 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.337 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.337 * [backup-simplify]: Simplify (+ 0) into 0 15.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.340 * [backup-simplify]: Simplify (- 0) into 0 15.340 * [backup-simplify]: Simplify (+ 0 0) into 0 15.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.340 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.341 * [taylor]: Taking taylor expansion of 1/2 in U 15.341 * [backup-simplify]: Simplify 1/2 into 1/2 15.341 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.341 * [taylor]: Taking taylor expansion of J in U 15.341 * [backup-simplify]: Simplify J into J 15.341 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.341 * [taylor]: Taking taylor expansion of U in U 15.341 * [backup-simplify]: Simplify 0 into 0 15.341 * [backup-simplify]: Simplify 1 into 1 15.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.341 * [taylor]: Taking taylor expansion of 1/2 in U 15.341 * [backup-simplify]: Simplify 1/2 into 1/2 15.341 * [taylor]: Taking taylor expansion of K in U 15.341 * [backup-simplify]: Simplify K into K 15.341 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.341 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.341 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.341 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.341 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.344 * [backup-simplify]: Simplify (- 0) into 0 15.344 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.344 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.345 * [backup-simplify]: Simplify (+ 0) into 0 15.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.347 * [backup-simplify]: Simplify (- 0) into 0 15.347 * [backup-simplify]: Simplify (+ 0 0) into 0 15.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.348 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.348 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.348 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.348 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.348 * [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))) 15.349 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.350 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.352 * [backup-simplify]: Simplify (- 0) into 0 15.352 * [backup-simplify]: Simplify (+ 0 0) into 0 15.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.353 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.356 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.357 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.357 * [backup-simplify]: Simplify (- 0) into 0 15.358 * [backup-simplify]: Simplify (+ 0 0) into 0 15.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.359 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.360 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.360 * [backup-simplify]: Simplify (+ 0 0) into 0 15.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.360 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.360 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.360 * [taylor]: Taking taylor expansion of 1/2 in U 15.360 * [backup-simplify]: Simplify 1/2 into 1/2 15.360 * [taylor]: Taking taylor expansion of K in U 15.360 * [backup-simplify]: Simplify K into K 15.360 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.361 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.361 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.361 * [taylor]: Taking taylor expansion of J in U 15.361 * [backup-simplify]: Simplify J into J 15.361 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.361 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.361 * [backup-simplify]: Simplify (- 0) into 0 15.361 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.361 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 15.362 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.362 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 15.362 * [taylor]: Taking taylor expansion of -2 in U 15.362 * [backup-simplify]: Simplify -2 into -2 15.362 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 15.362 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 15.362 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.362 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 15.362 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.362 * [taylor]: Taking taylor expansion of 1 in U 15.362 * [backup-simplify]: Simplify 1 into 1 15.362 * [taylor]: Taking taylor expansion of 1 in U 15.362 * [backup-simplify]: Simplify 1 into 1 15.362 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.362 * [taylor]: Taking taylor expansion of 1/2 in U 15.362 * [backup-simplify]: Simplify 1/2 into 1/2 15.362 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.362 * [taylor]: Taking taylor expansion of J in U 15.362 * [backup-simplify]: Simplify J into J 15.362 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.362 * [taylor]: Taking taylor expansion of U in U 15.362 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify 1 into 1 15.362 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.362 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.362 * [taylor]: Taking taylor expansion of 1/2 in U 15.362 * [backup-simplify]: Simplify 1/2 into 1/2 15.362 * [taylor]: Taking taylor expansion of K in U 15.362 * [backup-simplify]: Simplify K into K 15.362 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.363 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.363 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.363 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.363 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.363 * [backup-simplify]: Simplify (- 0) into 0 15.363 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.363 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.364 * [backup-simplify]: Simplify (+ 0) into 0 15.364 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.364 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.365 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.366 * [backup-simplify]: Simplify (- 0) into 0 15.366 * [backup-simplify]: Simplify (+ 0 0) into 0 15.367 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.367 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.367 * [taylor]: Taking taylor expansion of 1/2 in U 15.367 * [backup-simplify]: Simplify 1/2 into 1/2 15.367 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.367 * [taylor]: Taking taylor expansion of J in U 15.367 * [backup-simplify]: Simplify J into J 15.367 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.367 * [taylor]: Taking taylor expansion of U in U 15.367 * [backup-simplify]: Simplify 0 into 0 15.367 * [backup-simplify]: Simplify 1 into 1 15.367 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.367 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.367 * [taylor]: Taking taylor expansion of 1/2 in U 15.367 * [backup-simplify]: Simplify 1/2 into 1/2 15.367 * [taylor]: Taking taylor expansion of K in U 15.367 * [backup-simplify]: Simplify K into K 15.367 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.367 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.368 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.368 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.368 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.368 * [backup-simplify]: Simplify (- 0) into 0 15.368 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.368 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.369 * [backup-simplify]: Simplify (+ 0) into 0 15.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.371 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.371 * [backup-simplify]: Simplify (- 0) into 0 15.371 * [backup-simplify]: Simplify (+ 0 0) into 0 15.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.372 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.372 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.372 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.373 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.373 * [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))) 15.373 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.377 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.377 * [backup-simplify]: Simplify (- 0) into 0 15.377 * [backup-simplify]: Simplify (+ 0 0) into 0 15.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.378 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.383 * [backup-simplify]: Simplify (- 0) into 0 15.383 * [backup-simplify]: Simplify (+ 0 0) into 0 15.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.384 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.385 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.386 * [backup-simplify]: Simplify (+ 0 0) into 0 15.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.386 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.386 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.386 * [taylor]: Taking taylor expansion of 1/2 in U 15.386 * [backup-simplify]: Simplify 1/2 into 1/2 15.386 * [taylor]: Taking taylor expansion of K in U 15.386 * [backup-simplify]: Simplify K into K 15.386 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.386 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.386 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.386 * [taylor]: Taking taylor expansion of J in U 15.386 * [backup-simplify]: Simplify J into J 15.386 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.386 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.387 * [backup-simplify]: Simplify (- 0) into 0 15.387 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.387 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 15.387 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.388 * [backup-simplify]: Simplify (* -2 1/2) into -1 15.388 * [taylor]: Taking taylor expansion of -1 in J 15.388 * [backup-simplify]: Simplify -1 into -1 15.388 * [backup-simplify]: Simplify (+ 0) into 0 15.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.389 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.391 * [backup-simplify]: Simplify (- 0) into 0 15.391 * [backup-simplify]: Simplify (+ 0 0) into 0 15.391 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.391 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 15.392 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 15.392 * [taylor]: Taking taylor expansion of 0 in J 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [taylor]: Taking taylor expansion of -1 in K 15.392 * [backup-simplify]: Simplify -1 into -1 15.392 * [backup-simplify]: Simplify -1 into -1 15.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.394 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.394 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.395 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.396 * [backup-simplify]: Simplify (- 0) into 0 15.396 * [backup-simplify]: Simplify (+ 0 0) into 0 15.396 * [backup-simplify]: Simplify (* 1 1) into 1 15.397 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.398 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.401 * [backup-simplify]: Simplify (- 0) into 0 15.401 * [backup-simplify]: Simplify (+ 0 0) into 0 15.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.403 * [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 15.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 15.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.405 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.406 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.408 * [backup-simplify]: Simplify (- 0) into 0 15.409 * [backup-simplify]: Simplify (+ 0 0) into 0 15.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.410 * [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 15.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 15.412 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 15.412 * [backup-simplify]: Simplify (+ 1 0) into 1 15.413 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.414 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 15.414 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 15.415 * [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)))) 15.415 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 15.415 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 15.415 * [taylor]: Taking taylor expansion of 2 in J 15.415 * [backup-simplify]: Simplify 2 into 2 15.415 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 15.415 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.415 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.415 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.415 * [taylor]: Taking taylor expansion of 1/2 in J 15.415 * [backup-simplify]: Simplify 1/2 into 1/2 15.415 * [taylor]: Taking taylor expansion of K in J 15.415 * [backup-simplify]: Simplify K into K 15.415 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.415 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.415 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.415 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.416 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.416 * [backup-simplify]: Simplify (- 0) into 0 15.416 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.416 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.416 * [taylor]: Taking taylor expansion of J in J 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [backup-simplify]: Simplify 1 into 1 15.416 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.417 * [backup-simplify]: Simplify (* 1 1) into 1 15.417 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 15.417 * [backup-simplify]: Simplify (+ 0) into 0 15.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.418 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.419 * [backup-simplify]: Simplify (- 0) into 0 15.420 * [backup-simplify]: Simplify (+ 0 0) into 0 15.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 15.422 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.422 * [backup-simplify]: Simplify (- 0) into 0 15.422 * [taylor]: Taking taylor expansion of 0 in K 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [taylor]: Taking taylor expansion of 0 in K 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 0 into 0 15.423 * [taylor]: Taking taylor expansion of 0 in K 15.423 * [backup-simplify]: Simplify 0 into 0 15.423 * [backup-simplify]: Simplify 0 into 0 15.423 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.425 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.427 * [backup-simplify]: Simplify (- 0) into 0 15.428 * [backup-simplify]: Simplify (+ 0 0) into 0 15.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.431 * [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 15.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.434 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.435 * [backup-simplify]: Simplify (- 0) into 0 15.435 * [backup-simplify]: Simplify (+ 0 0) into 0 15.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 15.438 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 15.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 15.442 * [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 15.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.445 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.446 * [backup-simplify]: Simplify (- 0) into 0 15.446 * [backup-simplify]: Simplify (+ 0 0) into 0 15.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 15.448 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 15.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 15.450 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 15.450 * [backup-simplify]: Simplify (+ 0 0) into 0 15.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.451 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.452 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 15.453 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 15.453 * [taylor]: Taking taylor expansion of 0 in J 15.453 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.456 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.456 * [backup-simplify]: Simplify (- 0) into 0 15.457 * [backup-simplify]: Simplify (+ 0 0) into 0 15.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.461 * [backup-simplify]: Simplify (- 0) into 0 15.461 * [taylor]: Taking taylor expansion of 0 in K 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [taylor]: Taking taylor expansion of 0 in K 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 15.462 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 15.462 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 15.462 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 15.462 * [taylor]: Taking taylor expansion of 2 in K 15.462 * [backup-simplify]: Simplify 2 into 2 15.462 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 15.462 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.462 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.462 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.462 * [taylor]: Taking taylor expansion of -1/2 in K 15.462 * [backup-simplify]: Simplify -1/2 into -1/2 15.462 * [taylor]: Taking taylor expansion of K in K 15.462 * [backup-simplify]: Simplify 0 into 0 15.462 * [backup-simplify]: Simplify 1 into 1 15.463 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.463 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.463 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.463 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.463 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.463 * [taylor]: Taking taylor expansion of 1 in K 15.463 * [backup-simplify]: Simplify 1 into 1 15.463 * [taylor]: Taking taylor expansion of 1 in K 15.463 * [backup-simplify]: Simplify 1 into 1 15.463 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.463 * [taylor]: Taking taylor expansion of 1/2 in K 15.463 * [backup-simplify]: Simplify 1/2 into 1/2 15.463 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.463 * [taylor]: Taking taylor expansion of J in K 15.463 * [backup-simplify]: Simplify J into J 15.463 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.463 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.463 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.463 * [taylor]: Taking taylor expansion of -1/2 in K 15.463 * [backup-simplify]: Simplify -1/2 into -1/2 15.463 * [taylor]: Taking taylor expansion of K in K 15.463 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify 1 into 1 15.464 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.464 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.464 * [taylor]: Taking taylor expansion of U in K 15.464 * [backup-simplify]: Simplify U into U 15.464 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.464 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.464 * [taylor]: Taking taylor expansion of 1/2 in K 15.464 * [backup-simplify]: Simplify 1/2 into 1/2 15.464 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.464 * [taylor]: Taking taylor expansion of J in K 15.464 * [backup-simplify]: Simplify J into J 15.464 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.464 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.464 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.464 * [taylor]: Taking taylor expansion of -1/2 in K 15.464 * [backup-simplify]: Simplify -1/2 into -1/2 15.464 * [taylor]: Taking taylor expansion of K in K 15.464 * [backup-simplify]: Simplify 0 into 0 15.464 * [backup-simplify]: Simplify 1 into 1 15.465 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.465 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.465 * [taylor]: Taking taylor expansion of U in K 15.465 * [backup-simplify]: Simplify U into U 15.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.465 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.466 * [backup-simplify]: Simplify (* 1 1) into 1 15.466 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.466 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.466 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.466 * [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))))) 15.467 * [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)))))) 15.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.468 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.469 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.469 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.470 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 15.470 * [backup-simplify]: Simplify (+ 0 0) into 0 15.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.471 * [taylor]: Taking taylor expansion of J in K 15.471 * [backup-simplify]: Simplify J into J 15.471 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 15.472 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 15.472 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 15.472 * [taylor]: Taking taylor expansion of 2 in J 15.472 * [backup-simplify]: Simplify 2 into 2 15.472 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 15.472 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 15.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.472 * [taylor]: Taking taylor expansion of -1/2 in J 15.472 * [backup-simplify]: Simplify -1/2 into -1/2 15.472 * [taylor]: Taking taylor expansion of K in J 15.472 * [backup-simplify]: Simplify K into K 15.472 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.472 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.472 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 15.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.472 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 15.472 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.472 * [taylor]: Taking taylor expansion of 1 in J 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of 1 in J 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 15.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 15.472 * [taylor]: Taking taylor expansion of 1/2 in J 15.472 * [backup-simplify]: Simplify 1/2 into 1/2 15.473 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 15.473 * [taylor]: Taking taylor expansion of J in J 15.473 * [backup-simplify]: Simplify 0 into 0 15.473 * [backup-simplify]: Simplify 1 into 1 15.473 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 15.473 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.473 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.473 * [taylor]: Taking taylor expansion of -1/2 in J 15.473 * [backup-simplify]: Simplify -1/2 into -1/2 15.473 * [taylor]: Taking taylor expansion of K in J 15.473 * [backup-simplify]: Simplify K into K 15.473 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.473 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.473 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.473 * [taylor]: Taking taylor expansion of U in J 15.473 * [backup-simplify]: Simplify U into U 15.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.474 * [backup-simplify]: Simplify (- 0) into 0 15.474 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.474 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.474 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 15.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 15.474 * [taylor]: Taking taylor expansion of 1/2 in J 15.474 * [backup-simplify]: Simplify 1/2 into 1/2 15.474 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 15.474 * [taylor]: Taking taylor expansion of J in J 15.474 * [backup-simplify]: Simplify 0 into 0 15.474 * [backup-simplify]: Simplify 1 into 1 15.474 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 15.474 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.474 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.474 * [taylor]: Taking taylor expansion of -1/2 in J 15.474 * [backup-simplify]: Simplify -1/2 into -1/2 15.474 * [taylor]: Taking taylor expansion of K in J 15.474 * [backup-simplify]: Simplify K into K 15.474 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.475 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.475 * [taylor]: Taking taylor expansion of U in J 15.475 * [backup-simplify]: Simplify U into U 15.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.475 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.475 * [backup-simplify]: Simplify (- 0) into 0 15.475 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.476 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 15.476 * [backup-simplify]: Simplify (* 1 1) into 1 15.476 * [backup-simplify]: Simplify (+ 1 0) into 1 15.477 * [backup-simplify]: Simplify (sqrt 1) into 1 15.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.478 * [backup-simplify]: Simplify (+ 0 0) into 0 15.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.479 * [taylor]: Taking taylor expansion of J in J 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify 1 into 1 15.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.479 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.479 * [backup-simplify]: Simplify (- 0) into 0 15.479 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.480 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.480 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 15.480 * [taylor]: Taking taylor expansion of 2 in U 15.480 * [backup-simplify]: Simplify 2 into 2 15.480 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 15.480 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.480 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.480 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.480 * [taylor]: Taking taylor expansion of -1/2 in U 15.480 * [backup-simplify]: Simplify -1/2 into -1/2 15.480 * [taylor]: Taking taylor expansion of K in U 15.480 * [backup-simplify]: Simplify K into K 15.480 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.480 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.480 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.480 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.480 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.480 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.480 * [taylor]: Taking taylor expansion of 1 in U 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [taylor]: Taking taylor expansion of 1 in U 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.480 * [taylor]: Taking taylor expansion of 1/2 in U 15.480 * [backup-simplify]: Simplify 1/2 into 1/2 15.480 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.480 * [taylor]: Taking taylor expansion of J in U 15.480 * [backup-simplify]: Simplify J into J 15.480 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.481 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.481 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.481 * [taylor]: Taking taylor expansion of -1/2 in U 15.481 * [backup-simplify]: Simplify -1/2 into -1/2 15.481 * [taylor]: Taking taylor expansion of K in U 15.481 * [backup-simplify]: Simplify K into K 15.481 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.481 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.481 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.481 * [taylor]: Taking taylor expansion of U in U 15.481 * [backup-simplify]: Simplify 0 into 0 15.481 * [backup-simplify]: Simplify 1 into 1 15.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.481 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.482 * [backup-simplify]: Simplify (- 0) into 0 15.482 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.482 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.482 * [backup-simplify]: Simplify (+ 0) into 0 15.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.484 * [backup-simplify]: Simplify (- 0) into 0 15.485 * [backup-simplify]: Simplify (+ 0 0) into 0 15.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.485 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.485 * [taylor]: Taking taylor expansion of 1/2 in U 15.485 * [backup-simplify]: Simplify 1/2 into 1/2 15.485 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.485 * [taylor]: Taking taylor expansion of J in U 15.485 * [backup-simplify]: Simplify J into J 15.485 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.485 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.485 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.485 * [taylor]: Taking taylor expansion of -1/2 in U 15.486 * [backup-simplify]: Simplify -1/2 into -1/2 15.486 * [taylor]: Taking taylor expansion of K in U 15.486 * [backup-simplify]: Simplify K into K 15.486 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.486 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.486 * [taylor]: Taking taylor expansion of U in U 15.486 * [backup-simplify]: Simplify 0 into 0 15.486 * [backup-simplify]: Simplify 1 into 1 15.486 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.486 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.488 * [backup-simplify]: Simplify (- 0) into 0 15.488 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.488 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.489 * [backup-simplify]: Simplify (+ 0) into 0 15.489 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.492 * [backup-simplify]: Simplify (- 0) into 0 15.492 * [backup-simplify]: Simplify (+ 0 0) into 0 15.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.493 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.493 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.493 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.493 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.493 * [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))) 15.494 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.494 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.496 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.497 * [backup-simplify]: Simplify (- 0) into 0 15.497 * [backup-simplify]: Simplify (+ 0 0) into 0 15.498 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.498 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.502 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.503 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.503 * [backup-simplify]: Simplify (- 0) into 0 15.503 * [backup-simplify]: Simplify (+ 0 0) into 0 15.504 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.504 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.505 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.506 * [backup-simplify]: Simplify (+ 0 0) into 0 15.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.506 * [taylor]: Taking taylor expansion of J in U 15.506 * [backup-simplify]: Simplify J into J 15.506 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.506 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.506 * [backup-simplify]: Simplify (- 0) into 0 15.507 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 15.507 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.507 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 15.507 * [taylor]: Taking taylor expansion of 2 in U 15.507 * [backup-simplify]: Simplify 2 into 2 15.507 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 15.507 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.507 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.507 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.507 * [taylor]: Taking taylor expansion of -1/2 in U 15.507 * [backup-simplify]: Simplify -1/2 into -1/2 15.507 * [taylor]: Taking taylor expansion of K in U 15.507 * [backup-simplify]: Simplify K into K 15.507 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.507 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.507 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.507 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.507 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.507 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.508 * [taylor]: Taking taylor expansion of 1 in U 15.508 * [backup-simplify]: Simplify 1 into 1 15.508 * [taylor]: Taking taylor expansion of 1 in U 15.508 * [backup-simplify]: Simplify 1 into 1 15.508 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.508 * [taylor]: Taking taylor expansion of 1/2 in U 15.508 * [backup-simplify]: Simplify 1/2 into 1/2 15.508 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.508 * [taylor]: Taking taylor expansion of J in U 15.508 * [backup-simplify]: Simplify J into J 15.508 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.508 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.508 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.508 * [taylor]: Taking taylor expansion of -1/2 in U 15.508 * [backup-simplify]: Simplify -1/2 into -1/2 15.508 * [taylor]: Taking taylor expansion of K in U 15.508 * [backup-simplify]: Simplify K into K 15.508 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.508 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.508 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.508 * [taylor]: Taking taylor expansion of U in U 15.508 * [backup-simplify]: Simplify 0 into 0 15.508 * [backup-simplify]: Simplify 1 into 1 15.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.508 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.509 * [backup-simplify]: Simplify (- 0) into 0 15.509 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.509 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.509 * [backup-simplify]: Simplify (+ 0) into 0 15.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.511 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.512 * [backup-simplify]: Simplify (- 0) into 0 15.512 * [backup-simplify]: Simplify (+ 0 0) into 0 15.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.513 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.513 * [taylor]: Taking taylor expansion of 1/2 in U 15.513 * [backup-simplify]: Simplify 1/2 into 1/2 15.513 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.513 * [taylor]: Taking taylor expansion of J in U 15.513 * [backup-simplify]: Simplify J into J 15.513 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.513 * [taylor]: Taking taylor expansion of -1/2 in U 15.513 * [backup-simplify]: Simplify -1/2 into -1/2 15.513 * [taylor]: Taking taylor expansion of K in U 15.513 * [backup-simplify]: Simplify K into K 15.513 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.513 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.513 * [taylor]: Taking taylor expansion of U in U 15.513 * [backup-simplify]: Simplify 0 into 0 15.513 * [backup-simplify]: Simplify 1 into 1 15.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.514 * [backup-simplify]: Simplify (- 0) into 0 15.514 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.514 * [backup-simplify]: Simplify (+ 0) into 0 15.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.516 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.517 * [backup-simplify]: Simplify (- 0) into 0 15.517 * [backup-simplify]: Simplify (+ 0 0) into 0 15.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.517 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.518 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.518 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.518 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.518 * [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))) 15.518 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.520 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.521 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.522 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.522 * [backup-simplify]: Simplify (- 0) into 0 15.522 * [backup-simplify]: Simplify (+ 0 0) into 0 15.523 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.523 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.525 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.526 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.527 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.527 * [backup-simplify]: Simplify (- 0) into 0 15.528 * [backup-simplify]: Simplify (+ 0 0) into 0 15.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.529 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.529 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.530 * [backup-simplify]: Simplify (+ 0 0) into 0 15.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.530 * [taylor]: Taking taylor expansion of J in U 15.530 * [backup-simplify]: Simplify J into J 15.530 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.530 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.531 * [backup-simplify]: Simplify (- 0) into 0 15.531 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.531 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 15.531 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.531 * [backup-simplify]: Simplify (* 2 1/2) into 1 15.531 * [taylor]: Taking taylor expansion of 1 in J 15.531 * [backup-simplify]: Simplify 1 into 1 15.532 * [backup-simplify]: Simplify (+ 0) into 0 15.532 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.533 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.534 * [backup-simplify]: Simplify (- 0) into 0 15.534 * [backup-simplify]: Simplify (+ 0 0) into 0 15.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.535 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 15.535 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 15.536 * [taylor]: Taking taylor expansion of 0 in J 15.536 * [backup-simplify]: Simplify 0 into 0 15.536 * [taylor]: Taking taylor expansion of 1 in K 15.536 * [backup-simplify]: Simplify 1 into 1 15.536 * [backup-simplify]: Simplify 1 into 1 15.536 * [backup-simplify]: Simplify (* 1 1) into 1 15.537 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.538 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.538 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.541 * [backup-simplify]: Simplify (- 0) into 0 15.541 * [backup-simplify]: Simplify (+ 0 0) into 0 15.542 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.542 * [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 15.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 15.544 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.548 * [backup-simplify]: Simplify (- 0) into 0 15.548 * [backup-simplify]: Simplify (+ 0 0) into 0 15.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.550 * [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 15.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 15.552 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 15.552 * [backup-simplify]: Simplify (+ 1 0) into 1 15.553 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.554 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.557 * [backup-simplify]: Simplify (- 0) into 0 15.557 * [backup-simplify]: Simplify (+ 0 0) into 0 15.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 15.558 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 15.559 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 15.559 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 15.559 * [taylor]: Taking taylor expansion of 2 in J 15.559 * [backup-simplify]: Simplify 2 into 2 15.559 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 15.559 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.559 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.559 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.559 * [taylor]: Taking taylor expansion of -1/2 in J 15.560 * [backup-simplify]: Simplify -1/2 into -1/2 15.560 * [taylor]: Taking taylor expansion of K in J 15.560 * [backup-simplify]: Simplify K into K 15.560 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.560 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.560 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.560 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.560 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.560 * [backup-simplify]: Simplify (- 0) into 0 15.560 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.561 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.561 * [taylor]: Taking taylor expansion of J in J 15.561 * [backup-simplify]: Simplify 0 into 0 15.561 * [backup-simplify]: Simplify 1 into 1 15.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.561 * [backup-simplify]: Simplify (* 1 1) into 1 15.561 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.562 * [backup-simplify]: Simplify (+ 0) into 0 15.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.564 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.564 * [backup-simplify]: Simplify (- 0) into 0 15.565 * [backup-simplify]: Simplify (+ 0 0) into 0 15.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 15.568 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 15.568 * [taylor]: Taking taylor expansion of 0 in K 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [taylor]: Taking taylor expansion of 0 in K 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [taylor]: Taking taylor expansion of 0 in K 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify 0 into 0 15.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.572 * [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 15.573 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.575 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.576 * [backup-simplify]: Simplify (- 0) into 0 15.576 * [backup-simplify]: Simplify (+ 0 0) into 0 15.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.577 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 15.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 15.581 * [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 15.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.583 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.586 * [backup-simplify]: Simplify (- 0) into 0 15.586 * [backup-simplify]: Simplify (+ 0 0) into 0 15.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.588 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 15.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 15.590 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 15.590 * [backup-simplify]: Simplify (+ 0 0) into 0 15.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.591 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.592 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.595 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.595 * [backup-simplify]: Simplify (- 0) into 0 15.595 * [backup-simplify]: Simplify (+ 0 0) into 0 15.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 15.596 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 15.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 15.597 * [taylor]: Taking taylor expansion of 0 in J 15.597 * [backup-simplify]: Simplify 0 into 0 15.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.598 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.600 * [backup-simplify]: Simplify (- 0) into 0 15.600 * [backup-simplify]: Simplify (+ 0 0) into 0 15.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.602 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 15.602 * [taylor]: Taking taylor expansion of 0 in K 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [taylor]: Taking taylor expansion of 0 in K 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 15.602 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 15.603 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 15.603 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 15.603 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 15.603 * [taylor]: Taking taylor expansion of -2 in K 15.603 * [backup-simplify]: Simplify -2 into -2 15.603 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 15.603 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.603 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.603 * [taylor]: Taking taylor expansion of 1/2 in K 15.603 * [backup-simplify]: Simplify 1/2 into 1/2 15.603 * [taylor]: Taking taylor expansion of K in K 15.603 * [backup-simplify]: Simplify 0 into 0 15.603 * [backup-simplify]: Simplify 1 into 1 15.603 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.603 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.604 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 15.604 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.604 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.604 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 15.604 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.604 * [taylor]: Taking taylor expansion of 1 in K 15.604 * [backup-simplify]: Simplify 1 into 1 15.604 * [taylor]: Taking taylor expansion of 1 in K 15.604 * [backup-simplify]: Simplify 1 into 1 15.604 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.604 * [taylor]: Taking taylor expansion of 1/2 in K 15.604 * [backup-simplify]: Simplify 1/2 into 1/2 15.604 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.604 * [taylor]: Taking taylor expansion of U in K 15.604 * [backup-simplify]: Simplify U into U 15.604 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.604 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.604 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.604 * [taylor]: Taking taylor expansion of 1/2 in K 15.604 * [backup-simplify]: Simplify 1/2 into 1/2 15.604 * [taylor]: Taking taylor expansion of K in K 15.604 * [backup-simplify]: Simplify 0 into 0 15.604 * [backup-simplify]: Simplify 1 into 1 15.604 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.605 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.605 * [taylor]: Taking taylor expansion of J in K 15.605 * [backup-simplify]: Simplify J into J 15.605 * [backup-simplify]: Simplify (* 1 J) into J 15.605 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.605 * [taylor]: Taking taylor expansion of 1/2 in K 15.605 * [backup-simplify]: Simplify 1/2 into 1/2 15.605 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.605 * [taylor]: Taking taylor expansion of U in K 15.605 * [backup-simplify]: Simplify U into U 15.605 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.605 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.605 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.605 * [taylor]: Taking taylor expansion of 1/2 in K 15.605 * [backup-simplify]: Simplify 1/2 into 1/2 15.605 * [taylor]: Taking taylor expansion of K in K 15.605 * [backup-simplify]: Simplify 0 into 0 15.605 * [backup-simplify]: Simplify 1 into 1 15.605 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.606 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.606 * [taylor]: Taking taylor expansion of J in K 15.606 * [backup-simplify]: Simplify J into J 15.606 * [backup-simplify]: Simplify (* 1 J) into J 15.606 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.606 * [backup-simplify]: Simplify (* 1 1) into 1 15.606 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.606 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.606 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.606 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.607 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.607 * [backup-simplify]: Simplify (+ 0) into 0 15.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.608 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.608 * [backup-simplify]: Simplify (+ 0) into 0 15.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.608 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.609 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 15.609 * [backup-simplify]: Simplify (+ 0 0) into 0 15.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.609 * [taylor]: Taking taylor expansion of J in K 15.609 * [backup-simplify]: Simplify J into J 15.609 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 15.609 * [taylor]: Taking taylor expansion of -2 in J 15.609 * [backup-simplify]: Simplify -2 into -2 15.609 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 15.609 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.609 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.610 * [taylor]: Taking taylor expansion of 1/2 in J 15.610 * [backup-simplify]: Simplify 1/2 into 1/2 15.610 * [taylor]: Taking taylor expansion of K in J 15.610 * [backup-simplify]: Simplify K into K 15.610 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.610 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.610 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.610 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 15.610 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.610 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 15.610 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.610 * [taylor]: Taking taylor expansion of 1 in J 15.610 * [backup-simplify]: Simplify 1 into 1 15.610 * [taylor]: Taking taylor expansion of 1 in J 15.610 * [backup-simplify]: Simplify 1 into 1 15.610 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.610 * [taylor]: Taking taylor expansion of 1/2 in J 15.610 * [backup-simplify]: Simplify 1/2 into 1/2 15.610 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.610 * [taylor]: Taking taylor expansion of U in J 15.610 * [backup-simplify]: Simplify U into U 15.610 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.610 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.610 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.610 * [taylor]: Taking taylor expansion of 1/2 in J 15.610 * [backup-simplify]: Simplify 1/2 into 1/2 15.610 * [taylor]: Taking taylor expansion of K in J 15.610 * [backup-simplify]: Simplify K into K 15.610 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.610 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.610 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.610 * [taylor]: Taking taylor expansion of J in J 15.610 * [backup-simplify]: Simplify 0 into 0 15.610 * [backup-simplify]: Simplify 1 into 1 15.610 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.611 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.611 * [backup-simplify]: Simplify (- 0) into 0 15.611 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.611 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.611 * [backup-simplify]: Simplify (+ 0) into 0 15.611 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.613 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.613 * [backup-simplify]: Simplify (- 0) into 0 15.613 * [backup-simplify]: Simplify (+ 0 0) into 0 15.613 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.613 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.613 * [taylor]: Taking taylor expansion of 1/2 in J 15.613 * [backup-simplify]: Simplify 1/2 into 1/2 15.613 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.613 * [taylor]: Taking taylor expansion of U in J 15.613 * [backup-simplify]: Simplify U into U 15.613 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.614 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.614 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.614 * [taylor]: Taking taylor expansion of 1/2 in J 15.614 * [backup-simplify]: Simplify 1/2 into 1/2 15.614 * [taylor]: Taking taylor expansion of K in J 15.614 * [backup-simplify]: Simplify K into K 15.614 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.614 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.614 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.614 * [taylor]: Taking taylor expansion of J in J 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify 1 into 1 15.614 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.614 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.614 * [backup-simplify]: Simplify (- 0) into 0 15.614 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.614 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.614 * [backup-simplify]: Simplify (+ 0) into 0 15.615 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.616 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.616 * [backup-simplify]: Simplify (- 0) into 0 15.616 * [backup-simplify]: Simplify (+ 0 0) into 0 15.617 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.617 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.617 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.617 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.617 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.617 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.617 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.621 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.622 * [backup-simplify]: Simplify (- 0) into 0 15.622 * [backup-simplify]: Simplify (+ 0 0) into 0 15.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.622 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.625 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.625 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.625 * [backup-simplify]: Simplify (- 0) into 0 15.626 * [backup-simplify]: Simplify (+ 0 0) into 0 15.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.626 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.627 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 15.627 * [backup-simplify]: Simplify (+ 0 0) into 0 15.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.627 * [taylor]: Taking taylor expansion of J in J 15.627 * [backup-simplify]: Simplify 0 into 0 15.627 * [backup-simplify]: Simplify 1 into 1 15.627 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 15.627 * [taylor]: Taking taylor expansion of -2 in U 15.627 * [backup-simplify]: Simplify -2 into -2 15.627 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 15.627 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.627 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.627 * [taylor]: Taking taylor expansion of 1/2 in U 15.627 * [backup-simplify]: Simplify 1/2 into 1/2 15.627 * [taylor]: Taking taylor expansion of K in U 15.627 * [backup-simplify]: Simplify K into K 15.627 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.627 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.627 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.627 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 15.627 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.628 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.628 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.628 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.628 * [taylor]: Taking taylor expansion of 1 in U 15.628 * [backup-simplify]: Simplify 1 into 1 15.628 * [taylor]: Taking taylor expansion of 1 in U 15.628 * [backup-simplify]: Simplify 1 into 1 15.628 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.628 * [taylor]: Taking taylor expansion of 1/2 in U 15.628 * [backup-simplify]: Simplify 1/2 into 1/2 15.628 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.628 * [taylor]: Taking taylor expansion of U in U 15.628 * [backup-simplify]: Simplify 0 into 0 15.628 * [backup-simplify]: Simplify 1 into 1 15.628 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.628 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.628 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.628 * [taylor]: Taking taylor expansion of 1/2 in U 15.628 * [backup-simplify]: Simplify 1/2 into 1/2 15.628 * [taylor]: Taking taylor expansion of K in U 15.628 * [backup-simplify]: Simplify K into K 15.628 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.628 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.628 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.628 * [taylor]: Taking taylor expansion of J in U 15.628 * [backup-simplify]: Simplify J into J 15.628 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.628 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.628 * [backup-simplify]: Simplify (- 0) into 0 15.628 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.629 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.629 * [taylor]: Taking taylor expansion of 1/2 in U 15.629 * [backup-simplify]: Simplify 1/2 into 1/2 15.629 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.629 * [taylor]: Taking taylor expansion of U in U 15.629 * [backup-simplify]: Simplify 0 into 0 15.629 * [backup-simplify]: Simplify 1 into 1 15.629 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.629 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.629 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.629 * [taylor]: Taking taylor expansion of 1/2 in U 15.629 * [backup-simplify]: Simplify 1/2 into 1/2 15.629 * [taylor]: Taking taylor expansion of K in U 15.629 * [backup-simplify]: Simplify K into K 15.629 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.629 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.629 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.629 * [taylor]: Taking taylor expansion of J in U 15.629 * [backup-simplify]: Simplify J into J 15.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.629 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.630 * [backup-simplify]: Simplify (- 0) into 0 15.630 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.630 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.630 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.630 * [backup-simplify]: Simplify (* 1 1) into 1 15.631 * [backup-simplify]: Simplify (+ 1 0) into 1 15.631 * [backup-simplify]: Simplify (sqrt 1) into 1 15.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.632 * [backup-simplify]: Simplify (+ 0 0) into 0 15.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.633 * [taylor]: Taking taylor expansion of J in U 15.633 * [backup-simplify]: Simplify J into J 15.633 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 15.633 * [taylor]: Taking taylor expansion of -2 in U 15.633 * [backup-simplify]: Simplify -2 into -2 15.633 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 15.633 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.633 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.633 * [taylor]: Taking taylor expansion of 1/2 in U 15.633 * [backup-simplify]: Simplify 1/2 into 1/2 15.633 * [taylor]: Taking taylor expansion of K in U 15.633 * [backup-simplify]: Simplify K into K 15.633 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.633 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.634 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.634 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 15.634 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.634 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.634 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.634 * [taylor]: Taking taylor expansion of 1 in U 15.634 * [backup-simplify]: Simplify 1 into 1 15.634 * [taylor]: Taking taylor expansion of 1 in U 15.634 * [backup-simplify]: Simplify 1 into 1 15.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.634 * [taylor]: Taking taylor expansion of 1/2 in U 15.634 * [backup-simplify]: Simplify 1/2 into 1/2 15.634 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.634 * [taylor]: Taking taylor expansion of U in U 15.634 * [backup-simplify]: Simplify 0 into 0 15.634 * [backup-simplify]: Simplify 1 into 1 15.634 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.634 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.634 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.634 * [taylor]: Taking taylor expansion of 1/2 in U 15.634 * [backup-simplify]: Simplify 1/2 into 1/2 15.634 * [taylor]: Taking taylor expansion of K in U 15.634 * [backup-simplify]: Simplify K into K 15.634 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.634 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.634 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.635 * [taylor]: Taking taylor expansion of J in U 15.635 * [backup-simplify]: Simplify J into J 15.635 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.635 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.635 * [backup-simplify]: Simplify (- 0) into 0 15.635 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.635 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.635 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.636 * [taylor]: Taking taylor expansion of 1/2 in U 15.636 * [backup-simplify]: Simplify 1/2 into 1/2 15.636 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.636 * [taylor]: Taking taylor expansion of U in U 15.636 * [backup-simplify]: Simplify 0 into 0 15.636 * [backup-simplify]: Simplify 1 into 1 15.636 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.636 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.636 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.636 * [taylor]: Taking taylor expansion of 1/2 in U 15.636 * [backup-simplify]: Simplify 1/2 into 1/2 15.636 * [taylor]: Taking taylor expansion of K in U 15.636 * [backup-simplify]: Simplify K into K 15.636 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.636 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.636 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.636 * [taylor]: Taking taylor expansion of J in U 15.636 * [backup-simplify]: Simplify J into J 15.636 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.636 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.637 * [backup-simplify]: Simplify (- 0) into 0 15.637 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.637 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.637 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.637 * [backup-simplify]: Simplify (* 1 1) into 1 15.638 * [backup-simplify]: Simplify (+ 1 0) into 1 15.638 * [backup-simplify]: Simplify (sqrt 1) into 1 15.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.639 * [backup-simplify]: Simplify (+ 0 0) into 0 15.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.640 * [taylor]: Taking taylor expansion of J in U 15.640 * [backup-simplify]: Simplify J into J 15.640 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.640 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.641 * [backup-simplify]: Simplify (- 0) into 0 15.641 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.641 * [backup-simplify]: Simplify (* 1 J) into J 15.641 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.641 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 15.641 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 15.641 * [taylor]: Taking taylor expansion of -2 in J 15.641 * [backup-simplify]: Simplify -2 into -2 15.641 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.641 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.641 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.641 * [taylor]: Taking taylor expansion of 1/2 in J 15.641 * [backup-simplify]: Simplify 1/2 into 1/2 15.641 * [taylor]: Taking taylor expansion of K in J 15.641 * [backup-simplify]: Simplify K into K 15.641 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.641 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.641 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.642 * [taylor]: Taking taylor expansion of J in J 15.642 * [backup-simplify]: Simplify 0 into 0 15.642 * [backup-simplify]: Simplify 1 into 1 15.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.643 * [backup-simplify]: Simplify (+ 0) into 0 15.643 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.645 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.645 * [backup-simplify]: Simplify (- 0) into 0 15.646 * [backup-simplify]: Simplify (+ 0 0) into 0 15.646 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 15.647 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 15.647 * [taylor]: Taking taylor expansion of 0 in J 15.647 * [backup-simplify]: Simplify 0 into 0 15.647 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.647 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.647 * [backup-simplify]: Simplify (- 0) into 0 15.647 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.647 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.648 * [backup-simplify]: Simplify (* -2 0) into 0 15.648 * [taylor]: Taking taylor expansion of 0 in K 15.648 * [backup-simplify]: Simplify 0 into 0 15.648 * [backup-simplify]: Simplify 0 into 0 15.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.649 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 15.650 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 15.650 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 15.650 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 15.651 * [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))) 15.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 15.653 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.654 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.656 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.656 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.657 * [backup-simplify]: Simplify (- 0) into 0 15.657 * [backup-simplify]: Simplify (+ 0 0) into 0 15.658 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 15.658 * [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)))) 15.658 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 15.658 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 15.658 * [taylor]: Taking taylor expansion of 1/4 in J 15.658 * [backup-simplify]: Simplify 1/4 into 1/4 15.658 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 15.658 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.659 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.659 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.659 * [taylor]: Taking taylor expansion of 1/2 in J 15.659 * [backup-simplify]: Simplify 1/2 into 1/2 15.659 * [taylor]: Taking taylor expansion of K in J 15.659 * [backup-simplify]: Simplify K into K 15.659 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.659 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.659 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.659 * [taylor]: Taking taylor expansion of J in J 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 1 into 1 15.659 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.659 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.660 * [backup-simplify]: Simplify (- 0) into 0 15.660 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.660 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.660 * [backup-simplify]: Simplify (+ 0) into 0 15.661 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.663 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.663 * [backup-simplify]: Simplify (- 0) into 0 15.663 * [backup-simplify]: Simplify (+ 0 0) into 0 15.664 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.664 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 15.664 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 15.664 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 15.664 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 15.664 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 15.664 * [taylor]: Taking taylor expansion of 1/4 in K 15.664 * [backup-simplify]: Simplify 1/4 into 1/4 15.664 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 15.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.664 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.664 * [taylor]: Taking taylor expansion of 1/2 in K 15.664 * [backup-simplify]: Simplify 1/2 into 1/2 15.664 * [taylor]: Taking taylor expansion of K in K 15.665 * [backup-simplify]: Simplify 0 into 0 15.665 * [backup-simplify]: Simplify 1 into 1 15.665 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.666 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.666 * [backup-simplify]: Simplify (/ 1 1) into 1 15.667 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 15.667 * [backup-simplify]: Simplify (- 1/4) into -1/4 15.667 * [backup-simplify]: Simplify -1/4 into -1/4 15.667 * [taylor]: Taking taylor expansion of 0 in K 15.667 * [backup-simplify]: Simplify 0 into 0 15.667 * [backup-simplify]: Simplify 0 into 0 15.667 * [backup-simplify]: Simplify (+ 0) into 0 15.668 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.670 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.670 * [backup-simplify]: Simplify (- 0) into 0 15.671 * [backup-simplify]: Simplify (+ 0 0) into 0 15.671 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.671 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 15.671 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 15.671 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 15.672 * [taylor]: Taking taylor expansion of 2 in K 15.672 * [backup-simplify]: Simplify 2 into 2 15.672 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.672 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.672 * [taylor]: Taking taylor expansion of 1/2 in K 15.672 * [backup-simplify]: Simplify 1/2 into 1/2 15.672 * [taylor]: Taking taylor expansion of K in K 15.672 * [backup-simplify]: Simplify 0 into 0 15.672 * [backup-simplify]: Simplify 1 into 1 15.672 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.673 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.673 * [backup-simplify]: Simplify (* 2 1) into 2 15.674 * [backup-simplify]: Simplify (- 2) into -2 15.674 * [backup-simplify]: Simplify -2 into -2 15.674 * [backup-simplify]: Simplify 0 into 0 15.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.674 * [backup-simplify]: Simplify (+ 0) into 0 15.675 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.676 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.676 * [backup-simplify]: Simplify (- 0) into 0 15.677 * [backup-simplify]: Simplify (+ 0 0) into 0 15.677 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 15.677 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 15.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 15.677 * [backup-simplify]: Simplify (+ 0) into 0 15.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.679 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.679 * [backup-simplify]: Simplify (- 0) into 0 15.679 * [backup-simplify]: Simplify (+ 0 0) into 0 15.679 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 15.680 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 15.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 15.680 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 15.680 * [backup-simplify]: Simplify (+ 0 0) into 0 15.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 15.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 15.682 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.682 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 15.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.684 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.685 * [backup-simplify]: Simplify (- 0) into 0 15.685 * [backup-simplify]: Simplify (+ 0 0) into 0 15.685 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 15.686 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 15.686 * [taylor]: Taking taylor expansion of 0 in J 15.686 * [backup-simplify]: Simplify 0 into 0 15.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.687 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.688 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.688 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.689 * [backup-simplify]: Simplify (- 0) into 0 15.689 * [backup-simplify]: Simplify (+ 0 0) into 0 15.689 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.690 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 15.690 * [backup-simplify]: Simplify (- 0) into 0 15.690 * [taylor]: Taking taylor expansion of 0 in K 15.690 * [backup-simplify]: Simplify 0 into 0 15.690 * [backup-simplify]: Simplify 0 into 0 15.690 * [taylor]: Taking taylor expansion of 0 in K 15.690 * [backup-simplify]: Simplify 0 into 0 15.690 * [backup-simplify]: Simplify 0 into 0 15.691 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.691 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.692 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.693 * [backup-simplify]: Simplify (- 0) into 0 15.693 * [backup-simplify]: Simplify (+ 0 0) into 0 15.693 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.694 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 15.694 * [taylor]: Taking taylor expansion of 0 in K 15.694 * [backup-simplify]: Simplify 0 into 0 15.694 * [backup-simplify]: Simplify 0 into 0 15.694 * [backup-simplify]: Simplify (+ 0) into 0 15.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.695 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 15.695 * [backup-simplify]: Simplify (- 0) into 0 15.695 * [backup-simplify]: Simplify 0 into 0 15.695 * [backup-simplify]: Simplify 0 into 0 15.696 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 15.696 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 15.696 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 15.696 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 15.696 * [taylor]: Taking taylor expansion of -2 in K 15.696 * [backup-simplify]: Simplify -2 into -2 15.696 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 15.696 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 15.696 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.696 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.696 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 15.696 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.696 * [taylor]: Taking taylor expansion of 1 in K 15.696 * [backup-simplify]: Simplify 1 into 1 15.696 * [taylor]: Taking taylor expansion of 1 in K 15.696 * [backup-simplify]: Simplify 1 into 1 15.696 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 15.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.696 * [taylor]: Taking taylor expansion of 1/2 in K 15.696 * [backup-simplify]: Simplify 1/2 into 1/2 15.696 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.696 * [taylor]: Taking taylor expansion of J in K 15.696 * [backup-simplify]: Simplify J into J 15.696 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.696 * [taylor]: Taking taylor expansion of U in K 15.696 * [backup-simplify]: Simplify U into U 15.696 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.696 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.696 * [taylor]: Taking taylor expansion of 1/2 in K 15.696 * [backup-simplify]: Simplify 1/2 into 1/2 15.696 * [taylor]: Taking taylor expansion of K in K 15.696 * [backup-simplify]: Simplify 0 into 0 15.696 * [backup-simplify]: Simplify 1 into 1 15.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.697 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.697 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.697 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 15.697 * [taylor]: Taking taylor expansion of 1/2 in K 15.697 * [backup-simplify]: Simplify 1/2 into 1/2 15.697 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 15.697 * [taylor]: Taking taylor expansion of J in K 15.697 * [backup-simplify]: Simplify J into J 15.697 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 15.697 * [taylor]: Taking taylor expansion of U in K 15.697 * [backup-simplify]: Simplify U into U 15.697 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.697 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.697 * [taylor]: Taking taylor expansion of 1/2 in K 15.697 * [backup-simplify]: Simplify 1/2 into 1/2 15.697 * [taylor]: Taking taylor expansion of K in K 15.697 * [backup-simplify]: Simplify 0 into 0 15.697 * [backup-simplify]: Simplify 1 into 1 15.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.697 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.698 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.698 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 15.698 * [backup-simplify]: Simplify (* 1 1) into 1 15.698 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.698 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 15.698 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 15.698 * [backup-simplify]: Simplify (+ 1 (* 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) 15.699 * [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)) 15.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.699 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.699 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.700 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 15.700 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 15.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 15.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 15.701 * [backup-simplify]: Simplify (+ 0 0) into 0 15.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 15.701 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 15.701 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 15.701 * [taylor]: Taking taylor expansion of 1/2 in K 15.701 * [backup-simplify]: Simplify 1/2 into 1/2 15.701 * [taylor]: Taking taylor expansion of K in K 15.701 * [backup-simplify]: Simplify 0 into 0 15.701 * [backup-simplify]: Simplify 1 into 1 15.702 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.702 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.702 * [taylor]: Taking taylor expansion of J in K 15.702 * [backup-simplify]: Simplify J into J 15.702 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 15.703 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 15.703 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 15.703 * [taylor]: Taking taylor expansion of -2 in J 15.703 * [backup-simplify]: Simplify -2 into -2 15.703 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 15.703 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 15.703 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 15.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.703 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 15.703 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.703 * [taylor]: Taking taylor expansion of 1 in J 15.703 * [backup-simplify]: Simplify 1 into 1 15.703 * [taylor]: Taking taylor expansion of 1 in J 15.703 * [backup-simplify]: Simplify 1 into 1 15.703 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 15.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 15.703 * [taylor]: Taking taylor expansion of 1/2 in J 15.703 * [backup-simplify]: Simplify 1/2 into 1/2 15.703 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 15.703 * [taylor]: Taking taylor expansion of J in J 15.703 * [backup-simplify]: Simplify 0 into 0 15.703 * [backup-simplify]: Simplify 1 into 1 15.703 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 15.703 * [taylor]: Taking taylor expansion of U in J 15.703 * [backup-simplify]: Simplify U into U 15.703 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.703 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.704 * [taylor]: Taking taylor expansion of 1/2 in J 15.704 * [backup-simplify]: Simplify 1/2 into 1/2 15.704 * [taylor]: Taking taylor expansion of K in J 15.704 * [backup-simplify]: Simplify K into K 15.704 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.704 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.704 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.704 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.704 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.704 * [backup-simplify]: Simplify (- 0) into 0 15.705 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.705 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.705 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 15.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 15.705 * [taylor]: Taking taylor expansion of 1/2 in J 15.705 * [backup-simplify]: Simplify 1/2 into 1/2 15.705 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 15.705 * [taylor]: Taking taylor expansion of J in J 15.705 * [backup-simplify]: Simplify 0 into 0 15.705 * [backup-simplify]: Simplify 1 into 1 15.705 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 15.705 * [taylor]: Taking taylor expansion of U in J 15.705 * [backup-simplify]: Simplify U into U 15.705 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.705 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.705 * [taylor]: Taking taylor expansion of 1/2 in J 15.705 * [backup-simplify]: Simplify 1/2 into 1/2 15.705 * [taylor]: Taking taylor expansion of K in J 15.705 * [backup-simplify]: Simplify K into K 15.705 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.705 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.705 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.705 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.706 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.706 * [backup-simplify]: Simplify (- 0) into 0 15.706 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.706 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 15.706 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 15.707 * [backup-simplify]: Simplify (* 1 1) into 1 15.707 * [backup-simplify]: Simplify (+ 1 0) into 1 15.708 * [backup-simplify]: Simplify (sqrt 1) into 1 15.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.709 * [backup-simplify]: Simplify (+ 0 0) into 0 15.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.709 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.709 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.709 * [taylor]: Taking taylor expansion of 1/2 in J 15.709 * [backup-simplify]: Simplify 1/2 into 1/2 15.709 * [taylor]: Taking taylor expansion of K in J 15.709 * [backup-simplify]: Simplify K into K 15.710 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.710 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.710 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.710 * [taylor]: Taking taylor expansion of J in J 15.710 * [backup-simplify]: Simplify 0 into 0 15.710 * [backup-simplify]: Simplify 1 into 1 15.710 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.710 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.710 * [backup-simplify]: Simplify (- 0) into 0 15.710 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.711 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 15.711 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.711 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 15.711 * [taylor]: Taking taylor expansion of -2 in U 15.711 * [backup-simplify]: Simplify -2 into -2 15.711 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 15.711 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 15.711 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.711 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 15.711 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.711 * [taylor]: Taking taylor expansion of 1 in U 15.711 * [backup-simplify]: Simplify 1 into 1 15.711 * [taylor]: Taking taylor expansion of 1 in U 15.711 * [backup-simplify]: Simplify 1 into 1 15.711 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.711 * [taylor]: Taking taylor expansion of 1/2 in U 15.711 * [backup-simplify]: Simplify 1/2 into 1/2 15.711 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.711 * [taylor]: Taking taylor expansion of J in U 15.711 * [backup-simplify]: Simplify J into J 15.711 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.711 * [taylor]: Taking taylor expansion of U in U 15.711 * [backup-simplify]: Simplify 0 into 0 15.711 * [backup-simplify]: Simplify 1 into 1 15.711 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.711 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.711 * [taylor]: Taking taylor expansion of 1/2 in U 15.711 * [backup-simplify]: Simplify 1/2 into 1/2 15.711 * [taylor]: Taking taylor expansion of K in U 15.712 * [backup-simplify]: Simplify K into K 15.712 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.712 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.712 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.712 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.712 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.712 * [backup-simplify]: Simplify (- 0) into 0 15.712 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.713 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.713 * [backup-simplify]: Simplify (+ 0) into 0 15.713 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.714 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.715 * [backup-simplify]: Simplify (- 0) into 0 15.716 * [backup-simplify]: Simplify (+ 0 0) into 0 15.716 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.716 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.716 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.716 * [taylor]: Taking taylor expansion of 1/2 in U 15.716 * [backup-simplify]: Simplify 1/2 into 1/2 15.716 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.716 * [taylor]: Taking taylor expansion of J in U 15.716 * [backup-simplify]: Simplify J into J 15.716 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.716 * [taylor]: Taking taylor expansion of U in U 15.716 * [backup-simplify]: Simplify 0 into 0 15.716 * [backup-simplify]: Simplify 1 into 1 15.716 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.716 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.717 * [taylor]: Taking taylor expansion of 1/2 in U 15.717 * [backup-simplify]: Simplify 1/2 into 1/2 15.717 * [taylor]: Taking taylor expansion of K in U 15.717 * [backup-simplify]: Simplify K into K 15.717 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.717 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.717 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.717 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.717 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.717 * [backup-simplify]: Simplify (- 0) into 0 15.718 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.718 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.718 * [backup-simplify]: Simplify (+ 0) into 0 15.719 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.719 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.720 * [backup-simplify]: Simplify (- 0) into 0 15.721 * [backup-simplify]: Simplify (+ 0 0) into 0 15.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.722 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.722 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.722 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.722 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.722 * [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))) 15.723 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.724 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.725 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.725 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.726 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.726 * [backup-simplify]: Simplify (- 0) into 0 15.727 * [backup-simplify]: Simplify (+ 0 0) into 0 15.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.728 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.729 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.732 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.732 * [backup-simplify]: Simplify (- 0) into 0 15.732 * [backup-simplify]: Simplify (+ 0 0) into 0 15.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.733 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.734 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.734 * [backup-simplify]: Simplify (+ 0 0) into 0 15.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.735 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.735 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.735 * [taylor]: Taking taylor expansion of 1/2 in U 15.735 * [backup-simplify]: Simplify 1/2 into 1/2 15.735 * [taylor]: Taking taylor expansion of K in U 15.735 * [backup-simplify]: Simplify K into K 15.735 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.735 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.735 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.735 * [taylor]: Taking taylor expansion of J in U 15.735 * [backup-simplify]: Simplify J into J 15.735 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.735 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.736 * [backup-simplify]: Simplify (- 0) into 0 15.736 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.736 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 15.737 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.737 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 15.737 * [taylor]: Taking taylor expansion of -2 in U 15.737 * [backup-simplify]: Simplify -2 into -2 15.737 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 15.737 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 15.737 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 15.737 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 15.737 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.737 * [taylor]: Taking taylor expansion of 1 in U 15.737 * [backup-simplify]: Simplify 1 into 1 15.737 * [taylor]: Taking taylor expansion of 1 in U 15.737 * [backup-simplify]: Simplify 1 into 1 15.737 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 15.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.737 * [taylor]: Taking taylor expansion of 1/2 in U 15.737 * [backup-simplify]: Simplify 1/2 into 1/2 15.737 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.737 * [taylor]: Taking taylor expansion of J in U 15.737 * [backup-simplify]: Simplify J into J 15.737 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.737 * [taylor]: Taking taylor expansion of U in U 15.737 * [backup-simplify]: Simplify 0 into 0 15.737 * [backup-simplify]: Simplify 1 into 1 15.737 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.737 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.737 * [taylor]: Taking taylor expansion of 1/2 in U 15.737 * [backup-simplify]: Simplify 1/2 into 1/2 15.737 * [taylor]: Taking taylor expansion of K in U 15.737 * [backup-simplify]: Simplify K into K 15.738 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.738 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.738 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.738 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.738 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.738 * [backup-simplify]: Simplify (- 0) into 0 15.738 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.738 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.739 * [backup-simplify]: Simplify (+ 0) into 0 15.739 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.740 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.741 * [backup-simplify]: Simplify (- 0) into 0 15.742 * [backup-simplify]: Simplify (+ 0 0) into 0 15.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.742 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 15.742 * [taylor]: Taking taylor expansion of 1/2 in U 15.742 * [backup-simplify]: Simplify 1/2 into 1/2 15.742 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 15.742 * [taylor]: Taking taylor expansion of J in U 15.742 * [backup-simplify]: Simplify J into J 15.742 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 15.742 * [taylor]: Taking taylor expansion of U in U 15.742 * [backup-simplify]: Simplify 0 into 0 15.742 * [backup-simplify]: Simplify 1 into 1 15.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.742 * [taylor]: Taking taylor expansion of 1/2 in U 15.742 * [backup-simplify]: Simplify 1/2 into 1/2 15.742 * [taylor]: Taking taylor expansion of K in U 15.742 * [backup-simplify]: Simplify K into K 15.742 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.743 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.743 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.743 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.743 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.743 * [backup-simplify]: Simplify (- 0) into 0 15.743 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.743 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 15.744 * [backup-simplify]: Simplify (+ 0) into 0 15.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.744 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.746 * [backup-simplify]: Simplify (- 0) into 0 15.746 * [backup-simplify]: Simplify (+ 0 0) into 0 15.747 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 15.747 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 15.747 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.747 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.747 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 15.748 * [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))) 15.748 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 15.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.752 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.752 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.753 * [backup-simplify]: Simplify (- 0) into 0 15.754 * [backup-simplify]: Simplify (+ 0 0) into 0 15.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.755 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.758 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.759 * [backup-simplify]: Simplify (- 0) into 0 15.760 * [backup-simplify]: Simplify (+ 0 0) into 0 15.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 15.761 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 15.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 15.762 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.762 * [backup-simplify]: Simplify (+ 0 0) into 0 15.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 15.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 15.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 15.762 * [taylor]: Taking taylor expansion of 1/2 in U 15.762 * [backup-simplify]: Simplify 1/2 into 1/2 15.762 * [taylor]: Taking taylor expansion of K in U 15.762 * [backup-simplify]: Simplify K into K 15.762 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.762 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.763 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.763 * [taylor]: Taking taylor expansion of J in U 15.763 * [backup-simplify]: Simplify J into J 15.763 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.763 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.763 * [backup-simplify]: Simplify (- 0) into 0 15.763 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.763 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 15.763 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.764 * [backup-simplify]: Simplify (* -2 1/2) into -1 15.764 * [taylor]: Taking taylor expansion of -1 in J 15.764 * [backup-simplify]: Simplify -1 into -1 15.764 * [backup-simplify]: Simplify (+ 0) into 0 15.765 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.767 * [backup-simplify]: Simplify (- 0) into 0 15.767 * [backup-simplify]: Simplify (+ 0 0) into 0 15.767 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.767 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 15.768 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 15.768 * [taylor]: Taking taylor expansion of 0 in J 15.768 * [backup-simplify]: Simplify 0 into 0 15.768 * [taylor]: Taking taylor expansion of -1 in K 15.768 * [backup-simplify]: Simplify -1 into -1 15.768 * [backup-simplify]: Simplify -1 into -1 15.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.770 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.772 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.773 * [backup-simplify]: Simplify (- 0) into 0 15.773 * [backup-simplify]: Simplify (+ 0 0) into 0 15.773 * [backup-simplify]: Simplify (* 1 1) into 1 15.774 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.775 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.778 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.778 * [backup-simplify]: Simplify (- 0) into 0 15.779 * [backup-simplify]: Simplify (+ 0 0) into 0 15.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.780 * [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 15.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 15.782 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.783 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.783 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.785 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.785 * [backup-simplify]: Simplify (- 0) into 0 15.786 * [backup-simplify]: Simplify (+ 0 0) into 0 15.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.787 * [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 15.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 15.788 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 15.789 * [backup-simplify]: Simplify (+ 1 0) into 1 15.790 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 15.790 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 15.791 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 15.791 * [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)))) 15.791 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 15.791 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 15.792 * [taylor]: Taking taylor expansion of 2 in J 15.792 * [backup-simplify]: Simplify 2 into 2 15.792 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 15.792 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 15.792 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 15.792 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 15.792 * [taylor]: Taking taylor expansion of 1/2 in J 15.792 * [backup-simplify]: Simplify 1/2 into 1/2 15.792 * [taylor]: Taking taylor expansion of K in J 15.792 * [backup-simplify]: Simplify K into K 15.792 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 15.792 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 15.792 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 15.792 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 15.792 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 15.792 * [backup-simplify]: Simplify (- 0) into 0 15.793 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 15.793 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.793 * [taylor]: Taking taylor expansion of J in J 15.793 * [backup-simplify]: Simplify 0 into 0 15.793 * [backup-simplify]: Simplify 1 into 1 15.793 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 15.793 * [backup-simplify]: Simplify (* 1 1) into 1 15.793 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 15.794 * [backup-simplify]: Simplify (+ 0) into 0 15.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 15.794 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 15.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 15.796 * [backup-simplify]: Simplify (- 0) into 0 15.796 * [backup-simplify]: Simplify (+ 0 0) into 0 15.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 15.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 15.798 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 15.799 * [backup-simplify]: Simplify (- 0) into 0 15.799 * [taylor]: Taking taylor expansion of 0 in K 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [taylor]: Taking taylor expansion of 0 in K 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [taylor]: Taking taylor expansion of 0 in K 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [backup-simplify]: Simplify 0 into 0 15.800 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.803 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.804 * [backup-simplify]: Simplify (- 0) into 0 15.804 * [backup-simplify]: Simplify (+ 0 0) into 0 15.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.807 * [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 15.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.809 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.810 * [backup-simplify]: Simplify (- 0) into 0 15.811 * [backup-simplify]: Simplify (+ 0 0) into 0 15.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 15.812 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 15.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 15.816 * [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 15.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.818 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.820 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.821 * [backup-simplify]: Simplify (- 0) into 0 15.821 * [backup-simplify]: Simplify (+ 0 0) into 0 15.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 15.823 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 15.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 15.826 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 15.826 * [backup-simplify]: Simplify (+ 0 0) into 0 15.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 15.827 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 15.828 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 15.829 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 15.829 * [taylor]: Taking taylor expansion of 0 in J 15.829 * [backup-simplify]: Simplify 0 into 0 15.830 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.832 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.833 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.833 * [backup-simplify]: Simplify (- 0) into 0 15.833 * [backup-simplify]: Simplify (+ 0 0) into 0 15.834 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 15.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 15.837 * [backup-simplify]: Simplify (- 0) into 0 15.837 * [taylor]: Taking taylor expansion of 0 in K 15.837 * [backup-simplify]: Simplify 0 into 0 15.837 * [backup-simplify]: Simplify 0 into 0 15.837 * [taylor]: Taking taylor expansion of 0 in K 15.837 * [backup-simplify]: Simplify 0 into 0 15.837 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 15.838 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 15.838 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 15.838 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 15.838 * [taylor]: Taking taylor expansion of 2 in K 15.838 * [backup-simplify]: Simplify 2 into 2 15.838 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 15.838 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.838 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.838 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.838 * [taylor]: Taking taylor expansion of -1/2 in K 15.838 * [backup-simplify]: Simplify -1/2 into -1/2 15.838 * [taylor]: Taking taylor expansion of K in K 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 1 into 1 15.839 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.839 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.839 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.839 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.839 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 15.839 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.839 * [taylor]: Taking taylor expansion of 1 in K 15.839 * [backup-simplify]: Simplify 1 into 1 15.839 * [taylor]: Taking taylor expansion of 1 in K 15.839 * [backup-simplify]: Simplify 1 into 1 15.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 15.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.839 * [taylor]: Taking taylor expansion of 1/2 in K 15.839 * [backup-simplify]: Simplify 1/2 into 1/2 15.839 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.839 * [taylor]: Taking taylor expansion of J in K 15.839 * [backup-simplify]: Simplify J into J 15.840 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.840 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.840 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.840 * [taylor]: Taking taylor expansion of -1/2 in K 15.840 * [backup-simplify]: Simplify -1/2 into -1/2 15.840 * [taylor]: Taking taylor expansion of K in K 15.840 * [backup-simplify]: Simplify 0 into 0 15.840 * [backup-simplify]: Simplify 1 into 1 15.840 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.840 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.840 * [taylor]: Taking taylor expansion of U in K 15.840 * [backup-simplify]: Simplify U into U 15.840 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.841 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 15.841 * [taylor]: Taking taylor expansion of 1/2 in K 15.841 * [backup-simplify]: Simplify 1/2 into 1/2 15.841 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 15.841 * [taylor]: Taking taylor expansion of J in K 15.841 * [backup-simplify]: Simplify J into J 15.841 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 15.841 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 15.841 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 15.841 * [taylor]: Taking taylor expansion of -1/2 in K 15.841 * [backup-simplify]: Simplify -1/2 into -1/2 15.841 * [taylor]: Taking taylor expansion of K in K 15.841 * [backup-simplify]: Simplify 0 into 0 15.841 * [backup-simplify]: Simplify 1 into 1 15.841 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 15.841 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.841 * [taylor]: Taking taylor expansion of U in K 15.841 * [backup-simplify]: Simplify U into U 15.841 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.842 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 15.842 * [backup-simplify]: Simplify (* 1 1) into 1 15.842 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.842 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 15.842 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 15.842 * [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))))) 15.843 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 15.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.843 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 15.844 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 15.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 15.844 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 15.845 * [backup-simplify]: Simplify (+ 0 0) into 0 15.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 15.845 * [taylor]: Taking taylor expansion of J in K 15.845 * [backup-simplify]: Simplify J into J 15.845 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 15.846 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 15.846 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 15.846 * [taylor]: Taking taylor expansion of 2 in J 15.846 * [backup-simplify]: Simplify 2 into 2 15.846 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 15.846 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 15.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.846 * [taylor]: Taking taylor expansion of -1/2 in J 15.846 * [backup-simplify]: Simplify -1/2 into -1/2 15.846 * [taylor]: Taking taylor expansion of K in J 15.846 * [backup-simplify]: Simplify K into K 15.846 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.846 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.846 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 15.846 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.846 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 15.846 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.846 * [taylor]: Taking taylor expansion of 1 in J 15.846 * [backup-simplify]: Simplify 1 into 1 15.846 * [taylor]: Taking taylor expansion of 1 in J 15.846 * [backup-simplify]: Simplify 1 into 1 15.846 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 15.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 15.846 * [taylor]: Taking taylor expansion of 1/2 in J 15.846 * [backup-simplify]: Simplify 1/2 into 1/2 15.846 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 15.846 * [taylor]: Taking taylor expansion of J in J 15.846 * [backup-simplify]: Simplify 0 into 0 15.846 * [backup-simplify]: Simplify 1 into 1 15.846 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 15.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.846 * [taylor]: Taking taylor expansion of -1/2 in J 15.846 * [backup-simplify]: Simplify -1/2 into -1/2 15.846 * [taylor]: Taking taylor expansion of K in J 15.846 * [backup-simplify]: Simplify K into K 15.846 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.846 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.846 * [taylor]: Taking taylor expansion of U in J 15.846 * [backup-simplify]: Simplify U into U 15.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.847 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.847 * [backup-simplify]: Simplify (- 0) into 0 15.847 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.847 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 15.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 15.847 * [taylor]: Taking taylor expansion of 1/2 in J 15.847 * [backup-simplify]: Simplify 1/2 into 1/2 15.847 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 15.847 * [taylor]: Taking taylor expansion of J in J 15.847 * [backup-simplify]: Simplify 0 into 0 15.847 * [backup-simplify]: Simplify 1 into 1 15.847 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 15.847 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.847 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.847 * [taylor]: Taking taylor expansion of -1/2 in J 15.847 * [backup-simplify]: Simplify -1/2 into -1/2 15.847 * [taylor]: Taking taylor expansion of K in J 15.847 * [backup-simplify]: Simplify K into K 15.847 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.847 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.847 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.847 * [taylor]: Taking taylor expansion of U in J 15.847 * [backup-simplify]: Simplify U into U 15.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.847 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.848 * [backup-simplify]: Simplify (- 0) into 0 15.848 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.848 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 15.848 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 15.848 * [backup-simplify]: Simplify (* 1 1) into 1 15.848 * [backup-simplify]: Simplify (+ 1 0) into 1 15.849 * [backup-simplify]: Simplify (sqrt 1) into 1 15.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.849 * [backup-simplify]: Simplify (+ 0 0) into 0 15.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.850 * [taylor]: Taking taylor expansion of J in J 15.850 * [backup-simplify]: Simplify 0 into 0 15.850 * [backup-simplify]: Simplify 1 into 1 15.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.850 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.850 * [backup-simplify]: Simplify (- 0) into 0 15.850 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.850 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.850 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 15.850 * [taylor]: Taking taylor expansion of 2 in U 15.850 * [backup-simplify]: Simplify 2 into 2 15.850 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 15.850 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.850 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.850 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.850 * [taylor]: Taking taylor expansion of -1/2 in U 15.850 * [backup-simplify]: Simplify -1/2 into -1/2 15.851 * [taylor]: Taking taylor expansion of K in U 15.851 * [backup-simplify]: Simplify K into K 15.851 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.851 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.851 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.851 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.851 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.851 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.851 * [taylor]: Taking taylor expansion of 1 in U 15.851 * [backup-simplify]: Simplify 1 into 1 15.851 * [taylor]: Taking taylor expansion of 1 in U 15.851 * [backup-simplify]: Simplify 1 into 1 15.851 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.851 * [taylor]: Taking taylor expansion of 1/2 in U 15.851 * [backup-simplify]: Simplify 1/2 into 1/2 15.851 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.851 * [taylor]: Taking taylor expansion of J in U 15.851 * [backup-simplify]: Simplify J into J 15.851 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.851 * [taylor]: Taking taylor expansion of -1/2 in U 15.851 * [backup-simplify]: Simplify -1/2 into -1/2 15.851 * [taylor]: Taking taylor expansion of K in U 15.851 * [backup-simplify]: Simplify K into K 15.851 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.851 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.851 * [taylor]: Taking taylor expansion of U in U 15.851 * [backup-simplify]: Simplify 0 into 0 15.851 * [backup-simplify]: Simplify 1 into 1 15.851 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.851 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.852 * [backup-simplify]: Simplify (- 0) into 0 15.852 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.852 * [backup-simplify]: Simplify (+ 0) into 0 15.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.852 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.853 * [backup-simplify]: Simplify (- 0) into 0 15.854 * [backup-simplify]: Simplify (+ 0 0) into 0 15.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.854 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.854 * [taylor]: Taking taylor expansion of 1/2 in U 15.854 * [backup-simplify]: Simplify 1/2 into 1/2 15.854 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.854 * [taylor]: Taking taylor expansion of J in U 15.854 * [backup-simplify]: Simplify J into J 15.854 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.854 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.854 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.854 * [taylor]: Taking taylor expansion of -1/2 in U 15.854 * [backup-simplify]: Simplify -1/2 into -1/2 15.854 * [taylor]: Taking taylor expansion of K in U 15.854 * [backup-simplify]: Simplify K into K 15.854 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.854 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.854 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.854 * [taylor]: Taking taylor expansion of U in U 15.854 * [backup-simplify]: Simplify 0 into 0 15.854 * [backup-simplify]: Simplify 1 into 1 15.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.855 * [backup-simplify]: Simplify (- 0) into 0 15.855 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.855 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.855 * [backup-simplify]: Simplify (+ 0) into 0 15.855 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.856 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.856 * [backup-simplify]: Simplify (- 0) into 0 15.857 * [backup-simplify]: Simplify (+ 0 0) into 0 15.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.857 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.857 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.857 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.857 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.857 * [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))) 15.858 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.859 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.860 * [backup-simplify]: Simplify (- 0) into 0 15.860 * [backup-simplify]: Simplify (+ 0 0) into 0 15.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.860 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.862 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.862 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.863 * [backup-simplify]: Simplify (- 0) into 0 15.863 * [backup-simplify]: Simplify (+ 0 0) into 0 15.864 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.864 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.864 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.865 * [backup-simplify]: Simplify (+ 0 0) into 0 15.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.865 * [taylor]: Taking taylor expansion of J in U 15.865 * [backup-simplify]: Simplify J into J 15.865 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.865 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.865 * [backup-simplify]: Simplify (- 0) into 0 15.865 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.865 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 15.865 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.865 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 15.865 * [taylor]: Taking taylor expansion of 2 in U 15.865 * [backup-simplify]: Simplify 2 into 2 15.866 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 15.866 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.866 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.866 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.866 * [taylor]: Taking taylor expansion of -1/2 in U 15.866 * [backup-simplify]: Simplify -1/2 into -1/2 15.866 * [taylor]: Taking taylor expansion of K in U 15.866 * [backup-simplify]: Simplify K into K 15.866 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.866 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.866 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.866 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.866 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 15.866 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 15.866 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.866 * [taylor]: Taking taylor expansion of 1 in U 15.866 * [backup-simplify]: Simplify 1 into 1 15.866 * [taylor]: Taking taylor expansion of 1 in U 15.866 * [backup-simplify]: Simplify 1 into 1 15.866 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 15.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.866 * [taylor]: Taking taylor expansion of 1/2 in U 15.866 * [backup-simplify]: Simplify 1/2 into 1/2 15.866 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.866 * [taylor]: Taking taylor expansion of J in U 15.866 * [backup-simplify]: Simplify J into J 15.866 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.866 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.866 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.866 * [taylor]: Taking taylor expansion of -1/2 in U 15.866 * [backup-simplify]: Simplify -1/2 into -1/2 15.866 * [taylor]: Taking taylor expansion of K in U 15.866 * [backup-simplify]: Simplify K into K 15.866 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.866 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.866 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.866 * [taylor]: Taking taylor expansion of U in U 15.866 * [backup-simplify]: Simplify 0 into 0 15.866 * [backup-simplify]: Simplify 1 into 1 15.866 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.866 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.867 * [backup-simplify]: Simplify (- 0) into 0 15.867 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.867 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.867 * [backup-simplify]: Simplify (+ 0) into 0 15.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.868 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.868 * [backup-simplify]: Simplify (- 0) into 0 15.869 * [backup-simplify]: Simplify (+ 0 0) into 0 15.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.869 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 15.869 * [taylor]: Taking taylor expansion of 1/2 in U 15.869 * [backup-simplify]: Simplify 1/2 into 1/2 15.869 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 15.869 * [taylor]: Taking taylor expansion of J in U 15.869 * [backup-simplify]: Simplify J into J 15.869 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 15.869 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 15.869 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 15.869 * [taylor]: Taking taylor expansion of -1/2 in U 15.869 * [backup-simplify]: Simplify -1/2 into -1/2 15.869 * [taylor]: Taking taylor expansion of K in U 15.869 * [backup-simplify]: Simplify K into K 15.869 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.869 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.869 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.869 * [taylor]: Taking taylor expansion of U in U 15.869 * [backup-simplify]: Simplify 0 into 0 15.869 * [backup-simplify]: Simplify 1 into 1 15.870 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.870 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.870 * [backup-simplify]: Simplify (- 0) into 0 15.870 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.870 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 15.870 * [backup-simplify]: Simplify (+ 0) into 0 15.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.872 * [backup-simplify]: Simplify (- 0) into 0 15.872 * [backup-simplify]: Simplify (+ 0 0) into 0 15.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 15.872 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 15.872 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.872 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.873 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 15.873 * [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))) 15.873 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 15.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.880 * [backup-simplify]: Simplify (- 0) into 0 15.880 * [backup-simplify]: Simplify (+ 0 0) into 0 15.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.881 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.883 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.884 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.885 * [backup-simplify]: Simplify (- 0) into 0 15.885 * [backup-simplify]: Simplify (+ 0 0) into 0 15.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.886 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 15.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 15.887 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.887 * [backup-simplify]: Simplify (+ 0 0) into 0 15.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 15.888 * [taylor]: Taking taylor expansion of J in U 15.888 * [backup-simplify]: Simplify J into J 15.888 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.888 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.888 * [backup-simplify]: Simplify (- 0) into 0 15.888 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.888 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 15.889 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 15.889 * [backup-simplify]: Simplify (* 2 1/2) into 1 15.889 * [taylor]: Taking taylor expansion of 1 in J 15.889 * [backup-simplify]: Simplify 1 into 1 15.890 * [backup-simplify]: Simplify (+ 0) into 0 15.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.892 * [backup-simplify]: Simplify (- 0) into 0 15.893 * [backup-simplify]: Simplify (+ 0 0) into 0 15.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.893 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 15.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 15.894 * [taylor]: Taking taylor expansion of 0 in J 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [taylor]: Taking taylor expansion of 1 in K 15.894 * [backup-simplify]: Simplify 1 into 1 15.894 * [backup-simplify]: Simplify 1 into 1 15.894 * [backup-simplify]: Simplify (* 1 1) into 1 15.895 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.896 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.898 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.899 * [backup-simplify]: Simplify (- 0) into 0 15.899 * [backup-simplify]: Simplify (+ 0 0) into 0 15.900 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.900 * [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 15.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 15.902 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.903 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.905 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.906 * [backup-simplify]: Simplify (- 0) into 0 15.906 * [backup-simplify]: Simplify (+ 0 0) into 0 15.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.907 * [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 15.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 15.909 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 15.909 * [backup-simplify]: Simplify (+ 1 0) into 1 15.910 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 15.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.912 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.913 * [backup-simplify]: Simplify (- 0) into 0 15.914 * [backup-simplify]: Simplify (+ 0 0) into 0 15.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 15.915 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 15.916 * [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))) 15.916 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 15.916 * [taylor]: Taking taylor expansion of 2 in J 15.916 * [backup-simplify]: Simplify 2 into 2 15.916 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 15.916 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 15.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 15.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 15.916 * [taylor]: Taking taylor expansion of -1/2 in J 15.916 * [backup-simplify]: Simplify -1/2 into -1/2 15.916 * [taylor]: Taking taylor expansion of K in J 15.916 * [backup-simplify]: Simplify K into K 15.916 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 15.916 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 15.916 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 15.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 15.916 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 15.917 * [backup-simplify]: Simplify (- 0) into 0 15.917 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 15.917 * [taylor]: Taking taylor expansion of (pow J 2) in J 15.917 * [taylor]: Taking taylor expansion of J in J 15.917 * [backup-simplify]: Simplify 0 into 0 15.917 * [backup-simplify]: Simplify 1 into 1 15.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 15.917 * [backup-simplify]: Simplify (* 1 1) into 1 15.918 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 15.918 * [backup-simplify]: Simplify (+ 0) into 0 15.918 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 15.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 15.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.920 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 15.920 * [backup-simplify]: Simplify (- 0) into 0 15.920 * [backup-simplify]: Simplify (+ 0 0) into 0 15.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 15.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 15.923 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 15.923 * [taylor]: Taking taylor expansion of 0 in K 15.923 * [backup-simplify]: Simplify 0 into 0 15.923 * [backup-simplify]: Simplify 0 into 0 15.923 * [taylor]: Taking taylor expansion of 0 in K 15.923 * [backup-simplify]: Simplify 0 into 0 15.923 * [backup-simplify]: Simplify 0 into 0 15.923 * [taylor]: Taking taylor expansion of 0 in K 15.923 * [backup-simplify]: Simplify 0 into 0 15.923 * [backup-simplify]: Simplify 0 into 0 15.923 * [backup-simplify]: Simplify 0 into 0 15.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.926 * [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 15.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.929 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.930 * [backup-simplify]: Simplify (- 0) into 0 15.931 * [backup-simplify]: Simplify (+ 0 0) into 0 15.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.932 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 15.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 15.936 * [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 15.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.938 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 15.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 15.939 * [backup-simplify]: Simplify (- 0) into 0 15.940 * [backup-simplify]: Simplify (+ 0 0) into 0 15.941 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.941 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 15.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 15.943 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 15.944 * [backup-simplify]: Simplify (+ 0 0) into 0 15.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 15.945 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 15.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 15.948 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 15.949 * [backup-simplify]: Simplify (- 0) into 0 15.949 * [backup-simplify]: Simplify (+ 0 0) into 0 15.950 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 15.950 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 15.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 15.951 * [taylor]: Taking taylor expansion of 0 in J 15.951 * [backup-simplify]: Simplify 0 into 0 15.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 15.954 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.955 * [backup-simplify]: Simplify (- 0) into 0 15.955 * [backup-simplify]: Simplify (+ 0 0) into 0 15.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 15.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 15.960 * [taylor]: Taking taylor expansion of 0 in K 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [taylor]: Taking taylor expansion of 0 in K 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [backup-simplify]: Simplify 0 into 0 15.960 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 15.960 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 15.960 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 15.960 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 15.960 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 15.960 * [taylor]: Taking taylor expansion of -2 in K 15.960 * [backup-simplify]: Simplify -2 into -2 15.961 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 15.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.961 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.961 * [taylor]: Taking taylor expansion of 1/2 in K 15.961 * [backup-simplify]: Simplify 1/2 into 1/2 15.961 * [taylor]: Taking taylor expansion of K in K 15.961 * [backup-simplify]: Simplify 0 into 0 15.961 * [backup-simplify]: Simplify 1 into 1 15.961 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.962 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.962 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 15.962 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.962 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.962 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 15.962 * [taylor]: Taking taylor expansion of (* 1 1) in K 15.962 * [taylor]: Taking taylor expansion of 1 in K 15.962 * [backup-simplify]: Simplify 1 into 1 15.962 * [taylor]: Taking taylor expansion of 1 in K 15.962 * [backup-simplify]: Simplify 1 into 1 15.962 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 15.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.963 * [taylor]: Taking taylor expansion of 1/2 in K 15.963 * [backup-simplify]: Simplify 1/2 into 1/2 15.963 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.963 * [taylor]: Taking taylor expansion of U in K 15.963 * [backup-simplify]: Simplify U into U 15.963 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.963 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.963 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.963 * [taylor]: Taking taylor expansion of 1/2 in K 15.963 * [backup-simplify]: Simplify 1/2 into 1/2 15.963 * [taylor]: Taking taylor expansion of K in K 15.963 * [backup-simplify]: Simplify 0 into 0 15.963 * [backup-simplify]: Simplify 1 into 1 15.963 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.964 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.964 * [taylor]: Taking taylor expansion of J in K 15.964 * [backup-simplify]: Simplify J into J 15.964 * [backup-simplify]: Simplify (* 1 J) into J 15.964 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 15.964 * [taylor]: Taking taylor expansion of 1/2 in K 15.964 * [backup-simplify]: Simplify 1/2 into 1/2 15.964 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 15.965 * [taylor]: Taking taylor expansion of U in K 15.965 * [backup-simplify]: Simplify U into U 15.965 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 15.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 15.965 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 15.965 * [taylor]: Taking taylor expansion of 1/2 in K 15.965 * [backup-simplify]: Simplify 1/2 into 1/2 15.965 * [taylor]: Taking taylor expansion of K in K 15.965 * [backup-simplify]: Simplify 0 into 0 15.965 * [backup-simplify]: Simplify 1 into 1 15.965 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.966 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.966 * [taylor]: Taking taylor expansion of J in K 15.966 * [backup-simplify]: Simplify J into J 15.966 * [backup-simplify]: Simplify (* 1 J) into J 15.966 * [backup-simplify]: Simplify (/ U J) into (/ U J) 15.967 * [backup-simplify]: Simplify (* 1 1) into 1 15.967 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.967 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 15.967 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 15.967 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 15.968 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 15.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.969 * [backup-simplify]: Simplify (+ 0) into 0 15.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.970 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.971 * [backup-simplify]: Simplify (+ 0) into 0 15.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 15.972 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 15.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 15.972 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 15.973 * [backup-simplify]: Simplify (+ 0 0) into 0 15.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 15.973 * [taylor]: Taking taylor expansion of J in K 15.973 * [backup-simplify]: Simplify J into J 15.973 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 15.973 * [taylor]: Taking taylor expansion of -2 in J 15.973 * [backup-simplify]: Simplify -2 into -2 15.973 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 15.973 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.974 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.974 * [taylor]: Taking taylor expansion of 1/2 in J 15.974 * [backup-simplify]: Simplify 1/2 into 1/2 15.974 * [taylor]: Taking taylor expansion of K in J 15.974 * [backup-simplify]: Simplify K into K 15.974 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.974 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.974 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.974 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 15.974 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.974 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 15.974 * [taylor]: Taking taylor expansion of (* 1 1) in J 15.974 * [taylor]: Taking taylor expansion of 1 in J 15.974 * [backup-simplify]: Simplify 1 into 1 15.974 * [taylor]: Taking taylor expansion of 1 in J 15.974 * [backup-simplify]: Simplify 1 into 1 15.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 15.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.974 * [taylor]: Taking taylor expansion of 1/2 in J 15.974 * [backup-simplify]: Simplify 1/2 into 1/2 15.974 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.974 * [taylor]: Taking taylor expansion of U in J 15.974 * [backup-simplify]: Simplify U into U 15.974 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.974 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.975 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.975 * [taylor]: Taking taylor expansion of 1/2 in J 15.975 * [backup-simplify]: Simplify 1/2 into 1/2 15.975 * [taylor]: Taking taylor expansion of K in J 15.975 * [backup-simplify]: Simplify K into K 15.975 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.975 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.975 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.975 * [taylor]: Taking taylor expansion of J in J 15.975 * [backup-simplify]: Simplify 0 into 0 15.975 * [backup-simplify]: Simplify 1 into 1 15.975 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.975 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.976 * [backup-simplify]: Simplify (- 0) into 0 15.976 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.976 * [backup-simplify]: Simplify (+ 0) into 0 15.977 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.979 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.979 * [backup-simplify]: Simplify (- 0) into 0 15.980 * [backup-simplify]: Simplify (+ 0 0) into 0 15.980 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.980 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 15.980 * [taylor]: Taking taylor expansion of 1/2 in J 15.980 * [backup-simplify]: Simplify 1/2 into 1/2 15.981 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 15.981 * [taylor]: Taking taylor expansion of U in J 15.981 * [backup-simplify]: Simplify U into U 15.981 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 15.981 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 15.981 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 15.981 * [taylor]: Taking taylor expansion of 1/2 in J 15.981 * [backup-simplify]: Simplify 1/2 into 1/2 15.981 * [taylor]: Taking taylor expansion of K in J 15.981 * [backup-simplify]: Simplify K into K 15.981 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.981 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.981 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.981 * [taylor]: Taking taylor expansion of J in J 15.981 * [backup-simplify]: Simplify 0 into 0 15.981 * [backup-simplify]: Simplify 1 into 1 15.981 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.981 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.982 * [backup-simplify]: Simplify (- 0) into 0 15.982 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.982 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 15.982 * [backup-simplify]: Simplify (+ 0) into 0 15.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 15.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 15.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.985 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 15.985 * [backup-simplify]: Simplify (- 0) into 0 15.985 * [backup-simplify]: Simplify (+ 0 0) into 0 15.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 15.986 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 15.986 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.986 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.986 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.986 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 15.986 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 15.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.987 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.988 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.988 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.989 * [backup-simplify]: Simplify (- 0) into 0 15.989 * [backup-simplify]: Simplify (+ 0 0) into 0 15.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.990 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 15.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 15.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 15.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.992 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 15.992 * [backup-simplify]: Simplify (- 0) into 0 15.993 * [backup-simplify]: Simplify (+ 0 0) into 0 15.993 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 15.993 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 15.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 15.994 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 15.994 * [backup-simplify]: Simplify (+ 0 0) into 0 15.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 15.994 * [taylor]: Taking taylor expansion of J in J 15.994 * [backup-simplify]: Simplify 0 into 0 15.994 * [backup-simplify]: Simplify 1 into 1 15.994 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 15.994 * [taylor]: Taking taylor expansion of -2 in U 15.994 * [backup-simplify]: Simplify -2 into -2 15.994 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 15.994 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.994 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.994 * [taylor]: Taking taylor expansion of 1/2 in U 15.994 * [backup-simplify]: Simplify 1/2 into 1/2 15.994 * [taylor]: Taking taylor expansion of K in U 15.994 * [backup-simplify]: Simplify K into K 15.994 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.994 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.994 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.995 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 15.995 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.995 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.995 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.995 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.995 * [taylor]: Taking taylor expansion of 1 in U 15.995 * [backup-simplify]: Simplify 1 into 1 15.995 * [taylor]: Taking taylor expansion of 1 in U 15.995 * [backup-simplify]: Simplify 1 into 1 15.995 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.995 * [taylor]: Taking taylor expansion of 1/2 in U 15.995 * [backup-simplify]: Simplify 1/2 into 1/2 15.995 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.995 * [taylor]: Taking taylor expansion of U in U 15.995 * [backup-simplify]: Simplify 0 into 0 15.995 * [backup-simplify]: Simplify 1 into 1 15.995 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.995 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.995 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.995 * [taylor]: Taking taylor expansion of 1/2 in U 15.995 * [backup-simplify]: Simplify 1/2 into 1/2 15.995 * [taylor]: Taking taylor expansion of K in U 15.995 * [backup-simplify]: Simplify K into K 15.995 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.995 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.995 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.995 * [taylor]: Taking taylor expansion of J in U 15.995 * [backup-simplify]: Simplify J into J 15.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.995 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.995 * [backup-simplify]: Simplify (- 0) into 0 15.995 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.996 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.996 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.996 * [taylor]: Taking taylor expansion of 1/2 in U 15.996 * [backup-simplify]: Simplify 1/2 into 1/2 15.996 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.996 * [taylor]: Taking taylor expansion of U in U 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 1 into 1 15.996 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.996 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.996 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.996 * [taylor]: Taking taylor expansion of 1/2 in U 15.996 * [backup-simplify]: Simplify 1/2 into 1/2 15.996 * [taylor]: Taking taylor expansion of K in U 15.996 * [backup-simplify]: Simplify K into K 15.996 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.996 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.996 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.996 * [taylor]: Taking taylor expansion of J in U 15.996 * [backup-simplify]: Simplify J into J 15.996 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.996 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 15.996 * [backup-simplify]: Simplify (- 0) into 0 15.996 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 15.996 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 15.997 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 15.997 * [backup-simplify]: Simplify (* 1 1) into 1 15.997 * [backup-simplify]: Simplify (+ 1 0) into 1 15.997 * [backup-simplify]: Simplify (sqrt 1) into 1 15.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.998 * [backup-simplify]: Simplify (+ 0 0) into 0 15.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.998 * [taylor]: Taking taylor expansion of J in U 15.998 * [backup-simplify]: Simplify J into J 15.998 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 15.998 * [taylor]: Taking taylor expansion of -2 in U 15.998 * [backup-simplify]: Simplify -2 into -2 15.998 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 15.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.999 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.999 * [taylor]: Taking taylor expansion of 1/2 in U 15.999 * [backup-simplify]: Simplify 1/2 into 1/2 15.999 * [taylor]: Taking taylor expansion of K in U 15.999 * [backup-simplify]: Simplify K into K 15.999 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.999 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.999 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.999 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 15.999 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.999 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 15.999 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 15.999 * [taylor]: Taking taylor expansion of (* 1 1) in U 15.999 * [taylor]: Taking taylor expansion of 1 in U 15.999 * [backup-simplify]: Simplify 1 into 1 15.999 * [taylor]: Taking taylor expansion of 1 in U 15.999 * [backup-simplify]: Simplify 1 into 1 15.999 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 15.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 15.999 * [taylor]: Taking taylor expansion of 1/2 in U 15.999 * [backup-simplify]: Simplify 1/2 into 1/2 15.999 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 15.999 * [taylor]: Taking taylor expansion of U in U 15.999 * [backup-simplify]: Simplify 0 into 0 15.999 * [backup-simplify]: Simplify 1 into 1 15.999 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 15.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 15.999 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 15.999 * [taylor]: Taking taylor expansion of 1/2 in U 15.999 * [backup-simplify]: Simplify 1/2 into 1/2 15.999 * [taylor]: Taking taylor expansion of K in U 15.999 * [backup-simplify]: Simplify K into K 15.999 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 15.999 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 15.999 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 15.999 * [taylor]: Taking taylor expansion of J in U 15.999 * [backup-simplify]: Simplify J into J 15.999 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 15.999 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.000 * [backup-simplify]: Simplify (- 0) into 0 16.000 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.000 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.000 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 16.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 16.000 * [taylor]: Taking taylor expansion of 1/2 in U 16.000 * [backup-simplify]: Simplify 1/2 into 1/2 16.000 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 16.000 * [taylor]: Taking taylor expansion of U in U 16.000 * [backup-simplify]: Simplify 0 into 0 16.000 * [backup-simplify]: Simplify 1 into 1 16.000 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 16.000 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.000 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.000 * [taylor]: Taking taylor expansion of 1/2 in U 16.000 * [backup-simplify]: Simplify 1/2 into 1/2 16.000 * [taylor]: Taking taylor expansion of K in U 16.000 * [backup-simplify]: Simplify K into K 16.000 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.000 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.000 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.000 * [taylor]: Taking taylor expansion of J in U 16.000 * [backup-simplify]: Simplify J into J 16.000 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.000 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.001 * [backup-simplify]: Simplify (- 0) into 0 16.001 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.001 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.001 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 16.001 * [backup-simplify]: Simplify (* 1 1) into 1 16.001 * [backup-simplify]: Simplify (+ 1 0) into 1 16.002 * [backup-simplify]: Simplify (sqrt 1) into 1 16.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.002 * [backup-simplify]: Simplify (+ 0 0) into 0 16.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.003 * [taylor]: Taking taylor expansion of J in U 16.003 * [backup-simplify]: Simplify J into J 16.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.003 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.003 * [backup-simplify]: Simplify (- 0) into 0 16.003 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.003 * [backup-simplify]: Simplify (* 1 J) into J 16.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.003 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 16.003 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 16.003 * [taylor]: Taking taylor expansion of -2 in J 16.003 * [backup-simplify]: Simplify -2 into -2 16.003 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 16.003 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.003 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.003 * [taylor]: Taking taylor expansion of 1/2 in J 16.003 * [backup-simplify]: Simplify 1/2 into 1/2 16.003 * [taylor]: Taking taylor expansion of K in J 16.003 * [backup-simplify]: Simplify K into K 16.004 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.004 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.004 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.004 * [taylor]: Taking taylor expansion of J in J 16.004 * [backup-simplify]: Simplify 0 into 0 16.004 * [backup-simplify]: Simplify 1 into 1 16.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 16.004 * [backup-simplify]: Simplify (+ 0) into 0 16.005 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.006 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.006 * [backup-simplify]: Simplify (- 0) into 0 16.006 * [backup-simplify]: Simplify (+ 0 0) into 0 16.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 16.006 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 16.007 * [taylor]: Taking taylor expansion of 0 in J 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.007 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.007 * [backup-simplify]: Simplify (- 0) into 0 16.007 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.007 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 16.007 * [backup-simplify]: Simplify (* -2 0) into 0 16.007 * [taylor]: Taking taylor expansion of 0 in K 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify 0 into 0 16.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.010 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 16.010 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 16.010 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 16.010 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 16.011 * [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))) 16.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 16.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.013 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.014 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.014 * [backup-simplify]: Simplify (- 0) into 0 16.015 * [backup-simplify]: Simplify (+ 0 0) into 0 16.015 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 16.015 * [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)))) 16.015 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 16.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 16.015 * [taylor]: Taking taylor expansion of 1/4 in J 16.015 * [backup-simplify]: Simplify 1/4 into 1/4 16.015 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 16.016 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 16.016 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.016 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.016 * [taylor]: Taking taylor expansion of 1/2 in J 16.016 * [backup-simplify]: Simplify 1/2 into 1/2 16.016 * [taylor]: Taking taylor expansion of K in J 16.016 * [backup-simplify]: Simplify K into K 16.016 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.016 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.016 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.016 * [taylor]: Taking taylor expansion of J in J 16.016 * [backup-simplify]: Simplify 0 into 0 16.016 * [backup-simplify]: Simplify 1 into 1 16.016 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.016 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.016 * [backup-simplify]: Simplify (- 0) into 0 16.016 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.016 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 16.017 * [backup-simplify]: Simplify (+ 0) into 0 16.017 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.018 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.018 * [backup-simplify]: Simplify (- 0) into 0 16.018 * [backup-simplify]: Simplify (+ 0 0) into 0 16.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 16.019 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 16.019 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 16.019 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 16.019 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 16.019 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 16.019 * [taylor]: Taking taylor expansion of 1/4 in K 16.019 * [backup-simplify]: Simplify 1/4 into 1/4 16.019 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 16.019 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.019 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.019 * [taylor]: Taking taylor expansion of 1/2 in K 16.019 * [backup-simplify]: Simplify 1/2 into 1/2 16.019 * [taylor]: Taking taylor expansion of K in K 16.019 * [backup-simplify]: Simplify 0 into 0 16.019 * [backup-simplify]: Simplify 1 into 1 16.019 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.020 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.020 * [backup-simplify]: Simplify (/ 1 1) into 1 16.020 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 16.020 * [backup-simplify]: Simplify (- 1/4) into -1/4 16.021 * [backup-simplify]: Simplify -1/4 into -1/4 16.021 * [taylor]: Taking taylor expansion of 0 in K 16.021 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify (+ 0) into 0 16.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.022 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.022 * [backup-simplify]: Simplify (- 0) into 0 16.023 * [backup-simplify]: Simplify (+ 0 0) into 0 16.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 16.023 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 16.023 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 16.023 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 16.023 * [taylor]: Taking taylor expansion of 2 in K 16.023 * [backup-simplify]: Simplify 2 into 2 16.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.023 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.023 * [taylor]: Taking taylor expansion of 1/2 in K 16.023 * [backup-simplify]: Simplify 1/2 into 1/2 16.023 * [taylor]: Taking taylor expansion of K in K 16.023 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify 1 into 1 16.024 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.024 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.024 * [backup-simplify]: Simplify (* 2 1) into 2 16.025 * [backup-simplify]: Simplify (- 2) into -2 16.025 * [backup-simplify]: Simplify -2 into -2 16.025 * [backup-simplify]: Simplify 0 into 0 16.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.026 * [backup-simplify]: Simplify (+ 0) into 0 16.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.027 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.027 * [backup-simplify]: Simplify (- 0) into 0 16.027 * [backup-simplify]: Simplify (+ 0 0) into 0 16.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 16.028 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 16.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 16.028 * [backup-simplify]: Simplify (+ 0) into 0 16.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.030 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.030 * [backup-simplify]: Simplify (- 0) into 0 16.030 * [backup-simplify]: Simplify (+ 0 0) into 0 16.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 16.030 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 16.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 16.031 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 16.031 * [backup-simplify]: Simplify (+ 0 0) into 0 16.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 16.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 16.033 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 16.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.035 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.036 * [backup-simplify]: Simplify (- 0) into 0 16.036 * [backup-simplify]: Simplify (+ 0 0) into 0 16.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 16.037 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 16.037 * [taylor]: Taking taylor expansion of 0 in J 16.037 * [backup-simplify]: Simplify 0 into 0 16.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.039 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.039 * [backup-simplify]: Simplify (- 0) into 0 16.040 * [backup-simplify]: Simplify (+ 0 0) into 0 16.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 16.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 16.041 * [backup-simplify]: Simplify (- 0) into 0 16.041 * [taylor]: Taking taylor expansion of 0 in K 16.041 * [backup-simplify]: Simplify 0 into 0 16.041 * [backup-simplify]: Simplify 0 into 0 16.041 * [taylor]: Taking taylor expansion of 0 in K 16.041 * [backup-simplify]: Simplify 0 into 0 16.041 * [backup-simplify]: Simplify 0 into 0 16.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.042 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.043 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.044 * [backup-simplify]: Simplify (- 0) into 0 16.044 * [backup-simplify]: Simplify (+ 0 0) into 0 16.044 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.045 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 16.045 * [taylor]: Taking taylor expansion of 0 in K 16.045 * [backup-simplify]: Simplify 0 into 0 16.045 * [backup-simplify]: Simplify 0 into 0 16.045 * [backup-simplify]: Simplify (+ 0) into 0 16.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 16.046 * [backup-simplify]: Simplify (- 0) into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 16.047 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 16.047 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 16.047 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 16.047 * [taylor]: Taking taylor expansion of -2 in K 16.047 * [backup-simplify]: Simplify -2 into -2 16.047 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 16.047 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 16.047 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 16.047 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.047 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 16.047 * [taylor]: Taking taylor expansion of (* 1 1) in K 16.047 * [taylor]: Taking taylor expansion of 1 in K 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [taylor]: Taking taylor expansion of 1 in K 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 16.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 16.047 * [taylor]: Taking taylor expansion of 1/2 in K 16.047 * [backup-simplify]: Simplify 1/2 into 1/2 16.047 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 16.047 * [taylor]: Taking taylor expansion of J in K 16.047 * [backup-simplify]: Simplify J into J 16.047 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 16.047 * [taylor]: Taking taylor expansion of U in K 16.047 * [backup-simplify]: Simplify U into U 16.047 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.047 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.047 * [taylor]: Taking taylor expansion of 1/2 in K 16.047 * [backup-simplify]: Simplify 1/2 into 1/2 16.047 * [taylor]: Taking taylor expansion of K in K 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.048 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.048 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.048 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.048 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 16.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 16.048 * [taylor]: Taking taylor expansion of 1/2 in K 16.048 * [backup-simplify]: Simplify 1/2 into 1/2 16.048 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 16.048 * [taylor]: Taking taylor expansion of J in K 16.048 * [backup-simplify]: Simplify J into J 16.048 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 16.048 * [taylor]: Taking taylor expansion of U in K 16.048 * [backup-simplify]: Simplify U into U 16.048 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.048 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.048 * [taylor]: Taking taylor expansion of 1/2 in K 16.048 * [backup-simplify]: Simplify 1/2 into 1/2 16.048 * [taylor]: Taking taylor expansion of K in K 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [backup-simplify]: Simplify 1 into 1 16.048 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.048 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.048 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.049 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 16.049 * [backup-simplify]: Simplify (* 1 1) into 1 16.049 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 16.049 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 16.050 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 16.050 * [backup-simplify]: Simplify (+ 1 (* 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) 16.051 * [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)) 16.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.051 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 16.052 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 16.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 16.052 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 16.053 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 16.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 16.053 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 16.054 * [backup-simplify]: Simplify (+ 0 0) into 0 16.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 16.054 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.054 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.054 * [taylor]: Taking taylor expansion of 1/2 in K 16.054 * [backup-simplify]: Simplify 1/2 into 1/2 16.054 * [taylor]: Taking taylor expansion of K in K 16.054 * [backup-simplify]: Simplify 0 into 0 16.054 * [backup-simplify]: Simplify 1 into 1 16.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.055 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.055 * [taylor]: Taking taylor expansion of J in K 16.055 * [backup-simplify]: Simplify J into J 16.055 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 16.056 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 16.056 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 16.056 * [taylor]: Taking taylor expansion of -2 in J 16.056 * [backup-simplify]: Simplify -2 into -2 16.056 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 16.056 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 16.056 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 16.056 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.056 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 16.056 * [taylor]: Taking taylor expansion of (* 1 1) in J 16.056 * [taylor]: Taking taylor expansion of 1 in J 16.056 * [backup-simplify]: Simplify 1 into 1 16.056 * [taylor]: Taking taylor expansion of 1 in J 16.056 * [backup-simplify]: Simplify 1 into 1 16.056 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 16.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 16.056 * [taylor]: Taking taylor expansion of 1/2 in J 16.056 * [backup-simplify]: Simplify 1/2 into 1/2 16.056 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 16.056 * [taylor]: Taking taylor expansion of J in J 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 1 into 1 16.057 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 16.057 * [taylor]: Taking taylor expansion of U in J 16.057 * [backup-simplify]: Simplify U into U 16.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.057 * [taylor]: Taking taylor expansion of 1/2 in J 16.057 * [backup-simplify]: Simplify 1/2 into 1/2 16.057 * [taylor]: Taking taylor expansion of K in J 16.057 * [backup-simplify]: Simplify K into K 16.057 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.057 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.057 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.057 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.058 * [backup-simplify]: Simplify (- 0) into 0 16.058 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.058 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.058 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 16.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 16.058 * [taylor]: Taking taylor expansion of 1/2 in J 16.058 * [backup-simplify]: Simplify 1/2 into 1/2 16.058 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 16.058 * [taylor]: Taking taylor expansion of J in J 16.058 * [backup-simplify]: Simplify 0 into 0 16.058 * [backup-simplify]: Simplify 1 into 1 16.058 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 16.058 * [taylor]: Taking taylor expansion of U in J 16.058 * [backup-simplify]: Simplify U into U 16.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.058 * [taylor]: Taking taylor expansion of 1/2 in J 16.058 * [backup-simplify]: Simplify 1/2 into 1/2 16.058 * [taylor]: Taking taylor expansion of K in J 16.059 * [backup-simplify]: Simplify K into K 16.059 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.059 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.059 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.059 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.059 * [backup-simplify]: Simplify (- 0) into 0 16.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.060 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.060 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 16.060 * [backup-simplify]: Simplify (* 1 1) into 1 16.060 * [backup-simplify]: Simplify (+ 1 0) into 1 16.061 * [backup-simplify]: Simplify (sqrt 1) into 1 16.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.062 * [backup-simplify]: Simplify (+ 0 0) into 0 16.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.062 * [taylor]: Taking taylor expansion of 1/2 in J 16.063 * [backup-simplify]: Simplify 1/2 into 1/2 16.063 * [taylor]: Taking taylor expansion of K in J 16.063 * [backup-simplify]: Simplify K into K 16.063 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.063 * [taylor]: Taking taylor expansion of J in J 16.063 * [backup-simplify]: Simplify 0 into 0 16.063 * [backup-simplify]: Simplify 1 into 1 16.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.064 * [backup-simplify]: Simplify (- 0) into 0 16.064 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.064 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 16.064 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.064 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 16.064 * [taylor]: Taking taylor expansion of -2 in U 16.064 * [backup-simplify]: Simplify -2 into -2 16.064 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 16.064 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 16.064 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.064 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.064 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 16.064 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.064 * [taylor]: Taking taylor expansion of 1 in U 16.064 * [backup-simplify]: Simplify 1 into 1 16.064 * [taylor]: Taking taylor expansion of 1 in U 16.064 * [backup-simplify]: Simplify 1 into 1 16.064 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.064 * [taylor]: Taking taylor expansion of 1/2 in U 16.064 * [backup-simplify]: Simplify 1/2 into 1/2 16.064 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.064 * [taylor]: Taking taylor expansion of J in U 16.064 * [backup-simplify]: Simplify J into J 16.064 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.064 * [taylor]: Taking taylor expansion of U in U 16.065 * [backup-simplify]: Simplify 0 into 0 16.065 * [backup-simplify]: Simplify 1 into 1 16.065 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.065 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.065 * [taylor]: Taking taylor expansion of 1/2 in U 16.065 * [backup-simplify]: Simplify 1/2 into 1/2 16.065 * [taylor]: Taking taylor expansion of K in U 16.065 * [backup-simplify]: Simplify K into K 16.065 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.065 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.065 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.065 * [backup-simplify]: Simplify (- 0) into 0 16.066 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.066 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.066 * [backup-simplify]: Simplify (+ 0) into 0 16.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.068 * [backup-simplify]: Simplify (- 0) into 0 16.068 * [backup-simplify]: Simplify (+ 0 0) into 0 16.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.069 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.069 * [taylor]: Taking taylor expansion of 1/2 in U 16.069 * [backup-simplify]: Simplify 1/2 into 1/2 16.069 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.069 * [taylor]: Taking taylor expansion of J in U 16.069 * [backup-simplify]: Simplify J into J 16.069 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.069 * [taylor]: Taking taylor expansion of U in U 16.069 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify 1 into 1 16.069 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.069 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.069 * [taylor]: Taking taylor expansion of 1/2 in U 16.069 * [backup-simplify]: Simplify 1/2 into 1/2 16.069 * [taylor]: Taking taylor expansion of K in U 16.069 * [backup-simplify]: Simplify K into K 16.069 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.069 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.070 * [backup-simplify]: Simplify (- 0) into 0 16.070 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.070 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.070 * [backup-simplify]: Simplify (+ 0) into 0 16.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.073 * [backup-simplify]: Simplify (- 0) into 0 16.073 * [backup-simplify]: Simplify (+ 0 0) into 0 16.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.073 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.074 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.074 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.074 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.074 * [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))) 16.074 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.077 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.078 * [backup-simplify]: Simplify (- 0) into 0 16.078 * [backup-simplify]: Simplify (+ 0 0) into 0 16.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.079 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.083 * [backup-simplify]: Simplify (- 0) into 0 16.083 * [backup-simplify]: Simplify (+ 0 0) into 0 16.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.084 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.085 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 16.085 * [backup-simplify]: Simplify (+ 0 0) into 0 16.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.086 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.086 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.086 * [taylor]: Taking taylor expansion of 1/2 in U 16.086 * [backup-simplify]: Simplify 1/2 into 1/2 16.086 * [taylor]: Taking taylor expansion of K in U 16.086 * [backup-simplify]: Simplify K into K 16.086 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.086 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.086 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.086 * [taylor]: Taking taylor expansion of J in U 16.086 * [backup-simplify]: Simplify J into J 16.086 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.086 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.086 * [backup-simplify]: Simplify (- 0) into 0 16.086 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.087 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 16.087 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.087 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 16.087 * [taylor]: Taking taylor expansion of -2 in U 16.087 * [backup-simplify]: Simplify -2 into -2 16.087 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 16.087 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 16.087 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.087 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.087 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 16.087 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.087 * [taylor]: Taking taylor expansion of 1 in U 16.087 * [backup-simplify]: Simplify 1 into 1 16.087 * [taylor]: Taking taylor expansion of 1 in U 16.087 * [backup-simplify]: Simplify 1 into 1 16.087 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.087 * [taylor]: Taking taylor expansion of 1/2 in U 16.087 * [backup-simplify]: Simplify 1/2 into 1/2 16.087 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.087 * [taylor]: Taking taylor expansion of J in U 16.087 * [backup-simplify]: Simplify J into J 16.087 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.087 * [taylor]: Taking taylor expansion of U in U 16.087 * [backup-simplify]: Simplify 0 into 0 16.087 * [backup-simplify]: Simplify 1 into 1 16.087 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.087 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.087 * [taylor]: Taking taylor expansion of 1/2 in U 16.087 * [backup-simplify]: Simplify 1/2 into 1/2 16.087 * [taylor]: Taking taylor expansion of K in U 16.087 * [backup-simplify]: Simplify K into K 16.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.088 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.088 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.088 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.088 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.088 * [backup-simplify]: Simplify (- 0) into 0 16.088 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.088 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.089 * [backup-simplify]: Simplify (+ 0) into 0 16.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.089 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.091 * [backup-simplify]: Simplify (- 0) into 0 16.091 * [backup-simplify]: Simplify (+ 0 0) into 0 16.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.092 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.092 * [taylor]: Taking taylor expansion of 1/2 in U 16.092 * [backup-simplify]: Simplify 1/2 into 1/2 16.092 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.092 * [taylor]: Taking taylor expansion of J in U 16.092 * [backup-simplify]: Simplify J into J 16.092 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.092 * [taylor]: Taking taylor expansion of U in U 16.092 * [backup-simplify]: Simplify 0 into 0 16.092 * [backup-simplify]: Simplify 1 into 1 16.092 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.092 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.092 * [taylor]: Taking taylor expansion of 1/2 in U 16.092 * [backup-simplify]: Simplify 1/2 into 1/2 16.092 * [taylor]: Taking taylor expansion of K in U 16.092 * [backup-simplify]: Simplify K into K 16.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.092 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.092 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.092 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.093 * [backup-simplify]: Simplify (- 0) into 0 16.093 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.093 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.093 * [backup-simplify]: Simplify (+ 0) into 0 16.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.095 * [backup-simplify]: Simplify (- 0) into 0 16.096 * [backup-simplify]: Simplify (+ 0 0) into 0 16.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.096 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.096 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.096 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.096 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.097 * [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))) 16.097 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.100 * [backup-simplify]: Simplify (- 0) into 0 16.100 * [backup-simplify]: Simplify (+ 0 0) into 0 16.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.105 * [backup-simplify]: Simplify (- 0) into 0 16.106 * [backup-simplify]: Simplify (+ 0 0) into 0 16.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.107 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.107 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 16.108 * [backup-simplify]: Simplify (+ 0 0) into 0 16.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.108 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.108 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.108 * [taylor]: Taking taylor expansion of 1/2 in U 16.108 * [backup-simplify]: Simplify 1/2 into 1/2 16.108 * [taylor]: Taking taylor expansion of K in U 16.108 * [backup-simplify]: Simplify K into K 16.108 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.108 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.108 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.108 * [taylor]: Taking taylor expansion of J in U 16.108 * [backup-simplify]: Simplify J into J 16.108 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.108 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.109 * [backup-simplify]: Simplify (- 0) into 0 16.109 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.109 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 16.109 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.110 * [backup-simplify]: Simplify (* -2 1/2) into -1 16.110 * [taylor]: Taking taylor expansion of -1 in J 16.110 * [backup-simplify]: Simplify -1 into -1 16.110 * [backup-simplify]: Simplify (+ 0) into 0 16.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.112 * [backup-simplify]: Simplify (- 0) into 0 16.112 * [backup-simplify]: Simplify (+ 0 0) into 0 16.113 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.113 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 16.114 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 16.114 * [taylor]: Taking taylor expansion of 0 in J 16.114 * [backup-simplify]: Simplify 0 into 0 16.114 * [taylor]: Taking taylor expansion of -1 in K 16.114 * [backup-simplify]: Simplify -1 into -1 16.114 * [backup-simplify]: Simplify -1 into -1 16.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.116 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.117 * [backup-simplify]: Simplify (- 0) into 0 16.117 * [backup-simplify]: Simplify (+ 0 0) into 0 16.118 * [backup-simplify]: Simplify (* 1 1) into 1 16.119 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.120 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.122 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.122 * [backup-simplify]: Simplify (- 0) into 0 16.122 * [backup-simplify]: Simplify (+ 0 0) into 0 16.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.126 * [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 16.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 16.128 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.131 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.131 * [backup-simplify]: Simplify (- 0) into 0 16.132 * [backup-simplify]: Simplify (+ 0 0) into 0 16.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.133 * [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 16.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 16.135 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 16.135 * [backup-simplify]: Simplify (+ 1 0) into 1 16.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 16.136 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 16.137 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 16.138 * [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)))) 16.138 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 16.138 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 16.138 * [taylor]: Taking taylor expansion of 2 in J 16.138 * [backup-simplify]: Simplify 2 into 2 16.138 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 16.138 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 16.138 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.138 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.138 * [taylor]: Taking taylor expansion of 1/2 in J 16.138 * [backup-simplify]: Simplify 1/2 into 1/2 16.138 * [taylor]: Taking taylor expansion of K in J 16.138 * [backup-simplify]: Simplify K into K 16.138 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.138 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.138 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.138 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.138 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.139 * [backup-simplify]: Simplify (- 0) into 0 16.139 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.139 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.139 * [taylor]: Taking taylor expansion of J in J 16.139 * [backup-simplify]: Simplify 0 into 0 16.139 * [backup-simplify]: Simplify 1 into 1 16.139 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.139 * [backup-simplify]: Simplify (* 1 1) into 1 16.139 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 16.140 * [backup-simplify]: Simplify (+ 0) into 0 16.140 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.140 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.141 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.142 * [backup-simplify]: Simplify (- 0) into 0 16.142 * [backup-simplify]: Simplify (+ 0 0) into 0 16.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 16.144 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.145 * [backup-simplify]: Simplify (- 0) into 0 16.145 * [taylor]: Taking taylor expansion of 0 in K 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [taylor]: Taking taylor expansion of 0 in K 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [taylor]: Taking taylor expansion of 0 in K 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.147 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.147 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.149 * [backup-simplify]: Simplify (- 0) into 0 16.150 * [backup-simplify]: Simplify (+ 0 0) into 0 16.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.152 * [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 16.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.154 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.155 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 16.156 * [backup-simplify]: Simplify (- 0) into 0 16.156 * [backup-simplify]: Simplify (+ 0 0) into 0 16.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 16.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 16.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 16.160 * [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 16.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 16.163 * [backup-simplify]: Simplify (- 0) into 0 16.163 * [backup-simplify]: Simplify (+ 0 0) into 0 16.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 16.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 16.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 16.166 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 16.166 * [backup-simplify]: Simplify (+ 0 0) into 0 16.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 16.166 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.167 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 16.167 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 16.167 * [taylor]: Taking taylor expansion of 0 in J 16.168 * [backup-simplify]: Simplify 0 into 0 16.168 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.170 * [backup-simplify]: Simplify (- 0) into 0 16.170 * [backup-simplify]: Simplify (+ 0 0) into 0 16.170 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 16.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 16.172 * [backup-simplify]: Simplify (- 0) into 0 16.172 * [taylor]: Taking taylor expansion of 0 in K 16.173 * [backup-simplify]: Simplify 0 into 0 16.173 * [backup-simplify]: Simplify 0 into 0 16.173 * [taylor]: Taking taylor expansion of 0 in K 16.173 * [backup-simplify]: Simplify 0 into 0 16.173 * [backup-simplify]: Simplify 0 into 0 16.173 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 16.173 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 16.173 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 16.173 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 16.173 * [taylor]: Taking taylor expansion of 2 in K 16.173 * [backup-simplify]: Simplify 2 into 2 16.173 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 16.173 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 16.173 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.173 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.173 * [taylor]: Taking taylor expansion of -1/2 in K 16.173 * [backup-simplify]: Simplify -1/2 into -1/2 16.173 * [taylor]: Taking taylor expansion of K in K 16.173 * [backup-simplify]: Simplify 0 into 0 16.173 * [backup-simplify]: Simplify 1 into 1 16.173 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.174 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 16.174 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.174 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 16.174 * [taylor]: Taking taylor expansion of (* 1 1) in K 16.174 * [taylor]: Taking taylor expansion of 1 in K 16.174 * [backup-simplify]: Simplify 1 into 1 16.174 * [taylor]: Taking taylor expansion of 1 in K 16.174 * [backup-simplify]: Simplify 1 into 1 16.174 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 16.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 16.174 * [taylor]: Taking taylor expansion of 1/2 in K 16.174 * [backup-simplify]: Simplify 1/2 into 1/2 16.174 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 16.174 * [taylor]: Taking taylor expansion of J in K 16.174 * [backup-simplify]: Simplify J into J 16.174 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 16.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.174 * [taylor]: Taking taylor expansion of -1/2 in K 16.174 * [backup-simplify]: Simplify -1/2 into -1/2 16.174 * [taylor]: Taking taylor expansion of K in K 16.174 * [backup-simplify]: Simplify 0 into 0 16.174 * [backup-simplify]: Simplify 1 into 1 16.174 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.174 * [taylor]: Taking taylor expansion of U in K 16.174 * [backup-simplify]: Simplify U into U 16.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.174 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 16.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 16.175 * [taylor]: Taking taylor expansion of 1/2 in K 16.175 * [backup-simplify]: Simplify 1/2 into 1/2 16.175 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 16.175 * [taylor]: Taking taylor expansion of J in K 16.175 * [backup-simplify]: Simplify J into J 16.175 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 16.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.175 * [taylor]: Taking taylor expansion of -1/2 in K 16.175 * [backup-simplify]: Simplify -1/2 into -1/2 16.175 * [taylor]: Taking taylor expansion of K in K 16.175 * [backup-simplify]: Simplify 0 into 0 16.175 * [backup-simplify]: Simplify 1 into 1 16.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.175 * [taylor]: Taking taylor expansion of U in K 16.175 * [backup-simplify]: Simplify U into U 16.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.175 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 16.175 * [backup-simplify]: Simplify (* 1 1) into 1 16.176 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 16.176 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 16.176 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 16.176 * [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))))) 16.176 * [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)))))) 16.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 16.177 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 16.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 16.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 16.178 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 16.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 16.178 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 16.178 * [backup-simplify]: Simplify (+ 0 0) into 0 16.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 16.179 * [taylor]: Taking taylor expansion of J in K 16.179 * [backup-simplify]: Simplify J into J 16.179 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 16.179 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 16.179 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 16.179 * [taylor]: Taking taylor expansion of 2 in J 16.179 * [backup-simplify]: Simplify 2 into 2 16.179 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 16.179 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 16.179 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.179 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.179 * [taylor]: Taking taylor expansion of -1/2 in J 16.179 * [backup-simplify]: Simplify -1/2 into -1/2 16.179 * [taylor]: Taking taylor expansion of K in J 16.179 * [backup-simplify]: Simplify K into K 16.179 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.179 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.179 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.180 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 16.180 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.180 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 16.180 * [taylor]: Taking taylor expansion of (* 1 1) in J 16.180 * [taylor]: Taking taylor expansion of 1 in J 16.180 * [backup-simplify]: Simplify 1 into 1 16.180 * [taylor]: Taking taylor expansion of 1 in J 16.180 * [backup-simplify]: Simplify 1 into 1 16.180 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 16.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 16.180 * [taylor]: Taking taylor expansion of 1/2 in J 16.180 * [backup-simplify]: Simplify 1/2 into 1/2 16.180 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 16.180 * [taylor]: Taking taylor expansion of J in J 16.180 * [backup-simplify]: Simplify 0 into 0 16.180 * [backup-simplify]: Simplify 1 into 1 16.180 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 16.180 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.180 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.180 * [taylor]: Taking taylor expansion of -1/2 in J 16.180 * [backup-simplify]: Simplify -1/2 into -1/2 16.180 * [taylor]: Taking taylor expansion of K in J 16.180 * [backup-simplify]: Simplify K into K 16.180 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.180 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.180 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.180 * [taylor]: Taking taylor expansion of U in J 16.180 * [backup-simplify]: Simplify U into U 16.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.180 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.180 * [backup-simplify]: Simplify (- 0) into 0 16.180 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.181 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 16.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 16.181 * [taylor]: Taking taylor expansion of 1/2 in J 16.181 * [backup-simplify]: Simplify 1/2 into 1/2 16.181 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 16.181 * [taylor]: Taking taylor expansion of J in J 16.181 * [backup-simplify]: Simplify 0 into 0 16.181 * [backup-simplify]: Simplify 1 into 1 16.181 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 16.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.181 * [taylor]: Taking taylor expansion of -1/2 in J 16.181 * [backup-simplify]: Simplify -1/2 into -1/2 16.181 * [taylor]: Taking taylor expansion of K in J 16.181 * [backup-simplify]: Simplify K into K 16.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.181 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.181 * [taylor]: Taking taylor expansion of U in J 16.181 * [backup-simplify]: Simplify U into U 16.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.181 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.181 * [backup-simplify]: Simplify (- 0) into 0 16.181 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.182 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 16.182 * [backup-simplify]: Simplify (* 1 1) into 1 16.182 * [backup-simplify]: Simplify (+ 1 0) into 1 16.182 * [backup-simplify]: Simplify (sqrt 1) into 1 16.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.183 * [backup-simplify]: Simplify (+ 0 0) into 0 16.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.183 * [taylor]: Taking taylor expansion of J in J 16.183 * [backup-simplify]: Simplify 0 into 0 16.184 * [backup-simplify]: Simplify 1 into 1 16.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.184 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.184 * [backup-simplify]: Simplify (- 0) into 0 16.184 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.184 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.184 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.184 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 16.184 * [taylor]: Taking taylor expansion of 2 in U 16.184 * [backup-simplify]: Simplify 2 into 2 16.184 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 16.184 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.184 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.184 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.184 * [taylor]: Taking taylor expansion of -1/2 in U 16.184 * [backup-simplify]: Simplify -1/2 into -1/2 16.184 * [taylor]: Taking taylor expansion of K in U 16.184 * [backup-simplify]: Simplify K into K 16.184 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.184 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.184 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.184 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.184 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.184 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.184 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.184 * [taylor]: Taking taylor expansion of 1 in U 16.185 * [backup-simplify]: Simplify 1 into 1 16.185 * [taylor]: Taking taylor expansion of 1 in U 16.185 * [backup-simplify]: Simplify 1 into 1 16.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.185 * [taylor]: Taking taylor expansion of 1/2 in U 16.185 * [backup-simplify]: Simplify 1/2 into 1/2 16.185 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.185 * [taylor]: Taking taylor expansion of J in U 16.185 * [backup-simplify]: Simplify J into J 16.185 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.185 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.185 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.185 * [taylor]: Taking taylor expansion of -1/2 in U 16.185 * [backup-simplify]: Simplify -1/2 into -1/2 16.185 * [taylor]: Taking taylor expansion of K in U 16.185 * [backup-simplify]: Simplify K into K 16.185 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.185 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.185 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.185 * [taylor]: Taking taylor expansion of U in U 16.185 * [backup-simplify]: Simplify 0 into 0 16.185 * [backup-simplify]: Simplify 1 into 1 16.185 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.185 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.185 * [backup-simplify]: Simplify (- 0) into 0 16.185 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.185 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.186 * [backup-simplify]: Simplify (+ 0) into 0 16.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.187 * [backup-simplify]: Simplify (- 0) into 0 16.187 * [backup-simplify]: Simplify (+ 0 0) into 0 16.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.188 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.188 * [taylor]: Taking taylor expansion of 1/2 in U 16.188 * [backup-simplify]: Simplify 1/2 into 1/2 16.188 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.188 * [taylor]: Taking taylor expansion of J in U 16.188 * [backup-simplify]: Simplify J into J 16.188 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.188 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.188 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.188 * [taylor]: Taking taylor expansion of -1/2 in U 16.188 * [backup-simplify]: Simplify -1/2 into -1/2 16.188 * [taylor]: Taking taylor expansion of K in U 16.188 * [backup-simplify]: Simplify K into K 16.188 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.188 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.188 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.188 * [taylor]: Taking taylor expansion of U in U 16.188 * [backup-simplify]: Simplify 0 into 0 16.188 * [backup-simplify]: Simplify 1 into 1 16.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.188 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.188 * [backup-simplify]: Simplify (- 0) into 0 16.188 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.189 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.189 * [backup-simplify]: Simplify (+ 0) into 0 16.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.190 * [backup-simplify]: Simplify (- 0) into 0 16.190 * [backup-simplify]: Simplify (+ 0 0) into 0 16.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.191 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.191 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.191 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.191 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.191 * [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))) 16.191 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.194 * [backup-simplify]: Simplify (- 0) into 0 16.194 * [backup-simplify]: Simplify (+ 0 0) into 0 16.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.194 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.195 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.197 * [backup-simplify]: Simplify (- 0) into 0 16.197 * [backup-simplify]: Simplify (+ 0 0) into 0 16.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.198 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.198 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.198 * [backup-simplify]: Simplify (+ 0 0) into 0 16.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.199 * [taylor]: Taking taylor expansion of J in U 16.199 * [backup-simplify]: Simplify J into J 16.199 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.199 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.199 * [backup-simplify]: Simplify (- 0) into 0 16.199 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.199 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 16.199 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.199 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 16.199 * [taylor]: Taking taylor expansion of 2 in U 16.199 * [backup-simplify]: Simplify 2 into 2 16.199 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 16.199 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.199 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.199 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.199 * [taylor]: Taking taylor expansion of -1/2 in U 16.199 * [backup-simplify]: Simplify -1/2 into -1/2 16.199 * [taylor]: Taking taylor expansion of K in U 16.199 * [backup-simplify]: Simplify K into K 16.199 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.200 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.200 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.200 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.200 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.200 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.200 * [taylor]: Taking taylor expansion of 1 in U 16.200 * [backup-simplify]: Simplify 1 into 1 16.200 * [taylor]: Taking taylor expansion of 1 in U 16.200 * [backup-simplify]: Simplify 1 into 1 16.200 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.200 * [taylor]: Taking taylor expansion of 1/2 in U 16.200 * [backup-simplify]: Simplify 1/2 into 1/2 16.200 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.200 * [taylor]: Taking taylor expansion of J in U 16.200 * [backup-simplify]: Simplify J into J 16.200 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.200 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.200 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.200 * [taylor]: Taking taylor expansion of -1/2 in U 16.200 * [backup-simplify]: Simplify -1/2 into -1/2 16.200 * [taylor]: Taking taylor expansion of K in U 16.200 * [backup-simplify]: Simplify K into K 16.200 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.200 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.200 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.200 * [taylor]: Taking taylor expansion of U in U 16.200 * [backup-simplify]: Simplify 0 into 0 16.200 * [backup-simplify]: Simplify 1 into 1 16.200 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.200 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.200 * [backup-simplify]: Simplify (- 0) into 0 16.201 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.201 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.201 * [backup-simplify]: Simplify (+ 0) into 0 16.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.202 * [backup-simplify]: Simplify (- 0) into 0 16.203 * [backup-simplify]: Simplify (+ 0 0) into 0 16.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.203 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.203 * [taylor]: Taking taylor expansion of 1/2 in U 16.203 * [backup-simplify]: Simplify 1/2 into 1/2 16.203 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.203 * [taylor]: Taking taylor expansion of J in U 16.203 * [backup-simplify]: Simplify J into J 16.203 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.203 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.203 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.203 * [taylor]: Taking taylor expansion of -1/2 in U 16.203 * [backup-simplify]: Simplify -1/2 into -1/2 16.203 * [taylor]: Taking taylor expansion of K in U 16.203 * [backup-simplify]: Simplify K into K 16.203 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.203 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.203 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.203 * [taylor]: Taking taylor expansion of U in U 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify 1 into 1 16.203 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.203 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.204 * [backup-simplify]: Simplify (- 0) into 0 16.204 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.204 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.204 * [backup-simplify]: Simplify (+ 0) into 0 16.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.205 * [backup-simplify]: Simplify (- 0) into 0 16.206 * [backup-simplify]: Simplify (+ 0 0) into 0 16.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.206 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.206 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.206 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.206 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.206 * [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))) 16.207 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.208 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.209 * [backup-simplify]: Simplify (- 0) into 0 16.209 * [backup-simplify]: Simplify (+ 0 0) into 0 16.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.210 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.213 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.214 * [backup-simplify]: Simplify (- 0) into 0 16.214 * [backup-simplify]: Simplify (+ 0 0) into 0 16.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.215 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.216 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.217 * [backup-simplify]: Simplify (+ 0 0) into 0 16.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.217 * [taylor]: Taking taylor expansion of J in U 16.217 * [backup-simplify]: Simplify J into J 16.217 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.217 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.217 * [backup-simplify]: Simplify (- 0) into 0 16.218 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.218 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 16.218 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.218 * [backup-simplify]: Simplify (* 2 1/2) into 1 16.218 * [taylor]: Taking taylor expansion of 1 in J 16.218 * [backup-simplify]: Simplify 1 into 1 16.219 * [backup-simplify]: Simplify (+ 0) into 0 16.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.219 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.221 * [backup-simplify]: Simplify (- 0) into 0 16.221 * [backup-simplify]: Simplify (+ 0 0) into 0 16.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.222 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 16.222 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 16.222 * [taylor]: Taking taylor expansion of 0 in J 16.222 * [backup-simplify]: Simplify 0 into 0 16.222 * [taylor]: Taking taylor expansion of 1 in K 16.222 * [backup-simplify]: Simplify 1 into 1 16.222 * [backup-simplify]: Simplify 1 into 1 16.223 * [backup-simplify]: Simplify (* 1 1) into 1 16.224 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.228 * [backup-simplify]: Simplify (- 0) into 0 16.228 * [backup-simplify]: Simplify (+ 0 0) into 0 16.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.229 * [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 16.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 16.230 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.234 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.234 * [backup-simplify]: Simplify (- 0) into 0 16.235 * [backup-simplify]: Simplify (+ 0 0) into 0 16.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.236 * [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 16.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 16.237 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 16.238 * [backup-simplify]: Simplify (+ 1 0) into 1 16.238 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 16.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.241 * [backup-simplify]: Simplify (- 0) into 0 16.242 * [backup-simplify]: Simplify (+ 0 0) into 0 16.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 16.243 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 16.244 * [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))) 16.244 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 16.244 * [taylor]: Taking taylor expansion of 2 in J 16.244 * [backup-simplify]: Simplify 2 into 2 16.244 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 16.244 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 16.244 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.244 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.244 * [taylor]: Taking taylor expansion of -1/2 in J 16.244 * [backup-simplify]: Simplify -1/2 into -1/2 16.244 * [taylor]: Taking taylor expansion of K in J 16.244 * [backup-simplify]: Simplify K into K 16.244 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.244 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.244 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.244 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.245 * [backup-simplify]: Simplify (- 0) into 0 16.245 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.245 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.245 * [taylor]: Taking taylor expansion of J in J 16.245 * [backup-simplify]: Simplify 0 into 0 16.245 * [backup-simplify]: Simplify 1 into 1 16.245 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.245 * [backup-simplify]: Simplify (* 1 1) into 1 16.245 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 16.246 * [backup-simplify]: Simplify (+ 0) into 0 16.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.247 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.248 * [backup-simplify]: Simplify (- 0) into 0 16.248 * [backup-simplify]: Simplify (+ 0 0) into 0 16.248 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 16.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 16.250 * [taylor]: Taking taylor expansion of 0 in K 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [taylor]: Taking taylor expansion of 0 in K 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [taylor]: Taking taylor expansion of 0 in K 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [backup-simplify]: Simplify 0 into 0 16.250 * [backup-simplify]: Simplify 0 into 0 16.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.253 * [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 16.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 16.257 * [backup-simplify]: Simplify (- 0) into 0 16.258 * [backup-simplify]: Simplify (+ 0 0) into 0 16.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.259 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 16.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 16.262 * [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 16.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.264 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.265 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 16.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 16.266 * [backup-simplify]: Simplify (- 0) into 0 16.266 * [backup-simplify]: Simplify (+ 0 0) into 0 16.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.268 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 16.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 16.270 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 16.270 * [backup-simplify]: Simplify (+ 0 0) into 0 16.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.271 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.275 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.275 * [backup-simplify]: Simplify (- 0) into 0 16.275 * [backup-simplify]: Simplify (+ 0 0) into 0 16.276 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 16.276 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 16.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 16.277 * [taylor]: Taking taylor expansion of 0 in J 16.277 * [backup-simplify]: Simplify 0 into 0 16.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.281 * [backup-simplify]: Simplify (- 0) into 0 16.281 * [backup-simplify]: Simplify (+ 0 0) into 0 16.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 16.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 16.284 * [taylor]: Taking taylor expansion of 0 in K 16.284 * [backup-simplify]: Simplify 0 into 0 16.285 * [backup-simplify]: Simplify 0 into 0 16.285 * [taylor]: Taking taylor expansion of 0 in K 16.285 * [backup-simplify]: Simplify 0 into 0 16.285 * [backup-simplify]: Simplify 0 into 0 16.285 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 16.285 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 16.285 * [backup-simplify]: Simplify (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) into (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) 16.285 * [approximate]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in (U J K) around 0 16.285 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in K 16.285 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in K 16.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in K 16.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in K 16.285 * [taylor]: Taking taylor expansion of 1/3 in K 16.285 * [backup-simplify]: Simplify 1/3 into 1/3 16.285 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 16.286 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 16.286 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.286 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.286 * [taylor]: Taking taylor expansion of 1/2 in K 16.286 * [backup-simplify]: Simplify 1/2 into 1/2 16.286 * [taylor]: Taking taylor expansion of K in K 16.286 * [backup-simplify]: Simplify 0 into 0 16.286 * [backup-simplify]: Simplify 1 into 1 16.286 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.287 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.287 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 16.287 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 16.287 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 16.287 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 16.287 * [taylor]: Taking taylor expansion of (* 1 1) in K 16.287 * [taylor]: Taking taylor expansion of 1 in K 16.287 * [backup-simplify]: Simplify 1 into 1 16.287 * [taylor]: Taking taylor expansion of 1 in K 16.287 * [backup-simplify]: Simplify 1 into 1 16.287 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 16.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 16.287 * [taylor]: Taking taylor expansion of 1/2 in K 16.287 * [backup-simplify]: Simplify 1/2 into 1/2 16.287 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 16.287 * [taylor]: Taking taylor expansion of U in K 16.287 * [backup-simplify]: Simplify U into U 16.287 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 16.287 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.287 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.287 * [taylor]: Taking taylor expansion of 1/2 in K 16.287 * [backup-simplify]: Simplify 1/2 into 1/2 16.287 * [taylor]: Taking taylor expansion of K in K 16.287 * [backup-simplify]: Simplify 0 into 0 16.287 * [backup-simplify]: Simplify 1 into 1 16.288 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.288 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.288 * [taylor]: Taking taylor expansion of J in K 16.288 * [backup-simplify]: Simplify J into J 16.289 * [backup-simplify]: Simplify (* 1 J) into J 16.289 * [backup-simplify]: Simplify (/ U J) into (/ U J) 16.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 16.289 * [taylor]: Taking taylor expansion of 1/2 in K 16.289 * [backup-simplify]: Simplify 1/2 into 1/2 16.289 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 16.289 * [taylor]: Taking taylor expansion of U in K 16.289 * [backup-simplify]: Simplify U into U 16.289 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 16.289 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.289 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.289 * [taylor]: Taking taylor expansion of 1/2 in K 16.289 * [backup-simplify]: Simplify 1/2 into 1/2 16.289 * [taylor]: Taking taylor expansion of K in K 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [backup-simplify]: Simplify 1 into 1 16.289 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.290 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.290 * [taylor]: Taking taylor expansion of J in K 16.290 * [backup-simplify]: Simplify J into J 16.290 * [backup-simplify]: Simplify (* 1 J) into J 16.290 * [backup-simplify]: Simplify (/ U J) into (/ U J) 16.290 * [backup-simplify]: Simplify (* 1 1) into 1 16.290 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 16.290 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 16.290 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 16.290 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 16.291 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 16.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.291 * [backup-simplify]: Simplify (+ 0) into 0 16.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 16.292 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 16.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 16.292 * [backup-simplify]: Simplify (+ 0) into 0 16.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 16.293 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 16.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 16.293 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 16.293 * [backup-simplify]: Simplify (+ 0 0) into 0 16.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 16.294 * [taylor]: Taking taylor expansion of J in K 16.294 * [backup-simplify]: Simplify J into J 16.294 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) J) into (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 16.294 * [backup-simplify]: Simplify (* 1 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 16.294 * [backup-simplify]: Simplify (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 16.294 * [backup-simplify]: Simplify (* 1/3 (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (* 1/3 (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 16.295 * [backup-simplify]: Simplify (exp (* 1/3 (log (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (pow (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 1/3) 16.295 * [taylor]: Taking taylor expansion of (cbrt -2) in K 16.295 * [taylor]: Taking taylor expansion of -2 in K 16.295 * [backup-simplify]: Simplify -2 into -2 16.295 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.296 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.296 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in J 16.296 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in J 16.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in J 16.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in J 16.296 * [taylor]: Taking taylor expansion of 1/3 in J 16.296 * [backup-simplify]: Simplify 1/3 into 1/3 16.296 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 16.296 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 16.296 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.296 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.296 * [taylor]: Taking taylor expansion of 1/2 in J 16.296 * [backup-simplify]: Simplify 1/2 into 1/2 16.296 * [taylor]: Taking taylor expansion of K in J 16.296 * [backup-simplify]: Simplify K into K 16.296 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.296 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.296 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.296 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 16.296 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 16.296 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 16.296 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 16.296 * [taylor]: Taking taylor expansion of (* 1 1) in J 16.296 * [taylor]: Taking taylor expansion of 1 in J 16.296 * [backup-simplify]: Simplify 1 into 1 16.296 * [taylor]: Taking taylor expansion of 1 in J 16.296 * [backup-simplify]: Simplify 1 into 1 16.296 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 16.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 16.296 * [taylor]: Taking taylor expansion of 1/2 in J 16.296 * [backup-simplify]: Simplify 1/2 into 1/2 16.296 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 16.296 * [taylor]: Taking taylor expansion of U in J 16.296 * [backup-simplify]: Simplify U into U 16.296 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 16.296 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.296 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.296 * [taylor]: Taking taylor expansion of 1/2 in J 16.296 * [backup-simplify]: Simplify 1/2 into 1/2 16.296 * [taylor]: Taking taylor expansion of K in J 16.296 * [backup-simplify]: Simplify K into K 16.296 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.296 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.296 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.297 * [taylor]: Taking taylor expansion of J in J 16.297 * [backup-simplify]: Simplify 0 into 0 16.297 * [backup-simplify]: Simplify 1 into 1 16.297 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.297 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.297 * [backup-simplify]: Simplify (- 0) into 0 16.297 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.297 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 16.297 * [backup-simplify]: Simplify (+ 0) into 0 16.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.299 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.299 * [backup-simplify]: Simplify (- 0) into 0 16.299 * [backup-simplify]: Simplify (+ 0 0) into 0 16.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 16.300 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 16.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 16.300 * [taylor]: Taking taylor expansion of 1/2 in J 16.300 * [backup-simplify]: Simplify 1/2 into 1/2 16.300 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 16.300 * [taylor]: Taking taylor expansion of U in J 16.300 * [backup-simplify]: Simplify U into U 16.300 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 16.300 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.300 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.300 * [taylor]: Taking taylor expansion of 1/2 in J 16.300 * [backup-simplify]: Simplify 1/2 into 1/2 16.300 * [taylor]: Taking taylor expansion of K in J 16.300 * [backup-simplify]: Simplify K into K 16.300 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.300 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.300 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.300 * [taylor]: Taking taylor expansion of J in J 16.300 * [backup-simplify]: Simplify 0 into 0 16.300 * [backup-simplify]: Simplify 1 into 1 16.300 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.300 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.300 * [backup-simplify]: Simplify (- 0) into 0 16.300 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.300 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 16.301 * [backup-simplify]: Simplify (+ 0) into 0 16.301 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.302 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.302 * [backup-simplify]: Simplify (- 0) into 0 16.303 * [backup-simplify]: Simplify (+ 0 0) into 0 16.303 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 16.303 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 16.303 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 16.303 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 16.303 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.303 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 16.303 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 16.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.304 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.306 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.306 * [backup-simplify]: Simplify (- 0) into 0 16.306 * [backup-simplify]: Simplify (+ 0 0) into 0 16.307 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.307 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 16.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 16.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.309 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.310 * [backup-simplify]: Simplify (- 0) into 0 16.310 * [backup-simplify]: Simplify (+ 0 0) into 0 16.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.311 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 16.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 16.311 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 16.311 * [backup-simplify]: Simplify (+ 0 0) into 0 16.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 16.312 * [taylor]: Taking taylor expansion of J in J 16.312 * [backup-simplify]: Simplify 0 into 0 16.312 * [backup-simplify]: Simplify 1 into 1 16.312 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.312 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.312 * [backup-simplify]: Simplify (- 0) into 0 16.312 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.312 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) into 0 16.312 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 16.313 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 1) (* 0 0)) into (* 1/2 (/ U (cos (* 1/2 K)))) 16.313 * [backup-simplify]: Simplify (+ 0) into 0 16.313 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.314 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.314 * [backup-simplify]: Simplify (- 0) into 0 16.315 * [backup-simplify]: Simplify (+ 0 0) into 0 16.315 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0)) into (* 1/2 U) 16.315 * [backup-simplify]: Simplify (log (* 1/2 U)) into (log (* 1/2 U)) 16.315 * [backup-simplify]: Simplify (* 1/3 (log (* 1/2 U))) into (* 1/3 (log (* 1/2 U))) 16.315 * [backup-simplify]: Simplify (exp (* 1/3 (log (* 1/2 U)))) into (pow (* 1/2 U) 1/3) 16.315 * [taylor]: Taking taylor expansion of (cbrt -2) in J 16.315 * [taylor]: Taking taylor expansion of -2 in J 16.315 * [backup-simplify]: Simplify -2 into -2 16.316 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.316 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.316 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in U 16.316 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in U 16.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in U 16.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in U 16.316 * [taylor]: Taking taylor expansion of 1/3 in U 16.316 * [backup-simplify]: Simplify 1/3 into 1/3 16.316 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 16.316 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 16.316 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.316 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.316 * [taylor]: Taking taylor expansion of 1/2 in U 16.316 * [backup-simplify]: Simplify 1/2 into 1/2 16.316 * [taylor]: Taking taylor expansion of K in U 16.316 * [backup-simplify]: Simplify K into K 16.316 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.316 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.316 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.316 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 16.316 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 16.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 16.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 16.317 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.317 * [taylor]: Taking taylor expansion of 1 in U 16.317 * [backup-simplify]: Simplify 1 into 1 16.317 * [taylor]: Taking taylor expansion of 1 in U 16.317 * [backup-simplify]: Simplify 1 into 1 16.317 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 16.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 16.317 * [taylor]: Taking taylor expansion of 1/2 in U 16.317 * [backup-simplify]: Simplify 1/2 into 1/2 16.317 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 16.317 * [taylor]: Taking taylor expansion of U in U 16.317 * [backup-simplify]: Simplify 0 into 0 16.317 * [backup-simplify]: Simplify 1 into 1 16.317 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 16.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.317 * [taylor]: Taking taylor expansion of 1/2 in U 16.317 * [backup-simplify]: Simplify 1/2 into 1/2 16.317 * [taylor]: Taking taylor expansion of K in U 16.317 * [backup-simplify]: Simplify K into K 16.317 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.317 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.317 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.317 * [taylor]: Taking taylor expansion of J in U 16.317 * [backup-simplify]: Simplify J into J 16.317 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.317 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.317 * [backup-simplify]: Simplify (- 0) into 0 16.317 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.318 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.318 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 16.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 16.318 * [taylor]: Taking taylor expansion of 1/2 in U 16.318 * [backup-simplify]: Simplify 1/2 into 1/2 16.318 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 16.318 * [taylor]: Taking taylor expansion of U in U 16.318 * [backup-simplify]: Simplify 0 into 0 16.318 * [backup-simplify]: Simplify 1 into 1 16.318 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 16.318 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.318 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.318 * [taylor]: Taking taylor expansion of 1/2 in U 16.318 * [backup-simplify]: Simplify 1/2 into 1/2 16.318 * [taylor]: Taking taylor expansion of K in U 16.318 * [backup-simplify]: Simplify K into K 16.318 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.318 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.318 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.318 * [taylor]: Taking taylor expansion of J in U 16.318 * [backup-simplify]: Simplify J into J 16.318 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.318 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.318 * [backup-simplify]: Simplify (- 0) into 0 16.318 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.319 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.319 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 16.319 * [backup-simplify]: Simplify (* 1 1) into 1 16.319 * [backup-simplify]: Simplify (+ 1 0) into 1 16.320 * [backup-simplify]: Simplify (sqrt 1) into 1 16.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.320 * [backup-simplify]: Simplify (+ 0 0) into 0 16.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.321 * [taylor]: Taking taylor expansion of J in U 16.321 * [backup-simplify]: Simplify J into J 16.321 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.321 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.321 * [backup-simplify]: Simplify (- 0) into 0 16.321 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.321 * [backup-simplify]: Simplify (* 1 J) into J 16.321 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.321 * [backup-simplify]: Simplify (log (* (cos (* 1/2 K)) J)) into (log (* (cos (* 1/2 K)) J)) 16.321 * [backup-simplify]: Simplify (* 1/3 (log (* (cos (* 1/2 K)) J))) into (* 1/3 (log (* (cos (* 1/2 K)) J))) 16.321 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) into (pow (* (cos (* 1/2 K)) J) 1/3) 16.322 * [taylor]: Taking taylor expansion of (cbrt -2) in U 16.322 * [taylor]: Taking taylor expansion of -2 in U 16.322 * [backup-simplify]: Simplify -2 into -2 16.322 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.322 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.322 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) (cbrt -2)) in U 16.322 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) 1/3) in U 16.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))))) in U 16.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)))) in U 16.322 * [taylor]: Taking taylor expansion of 1/3 in U 16.322 * [backup-simplify]: Simplify 1/3 into 1/3 16.323 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 16.323 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 16.323 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.323 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.323 * [taylor]: Taking taylor expansion of 1/2 in U 16.323 * [backup-simplify]: Simplify 1/2 into 1/2 16.323 * [taylor]: Taking taylor expansion of K in U 16.323 * [backup-simplify]: Simplify K into K 16.323 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.323 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.323 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.323 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 16.323 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 16.323 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 16.323 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 16.323 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.323 * [taylor]: Taking taylor expansion of 1 in U 16.323 * [backup-simplify]: Simplify 1 into 1 16.323 * [taylor]: Taking taylor expansion of 1 in U 16.323 * [backup-simplify]: Simplify 1 into 1 16.323 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 16.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 16.323 * [taylor]: Taking taylor expansion of 1/2 in U 16.323 * [backup-simplify]: Simplify 1/2 into 1/2 16.323 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 16.323 * [taylor]: Taking taylor expansion of U in U 16.323 * [backup-simplify]: Simplify 0 into 0 16.323 * [backup-simplify]: Simplify 1 into 1 16.323 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 16.323 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.323 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.323 * [taylor]: Taking taylor expansion of 1/2 in U 16.323 * [backup-simplify]: Simplify 1/2 into 1/2 16.323 * [taylor]: Taking taylor expansion of K in U 16.323 * [backup-simplify]: Simplify K into K 16.323 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.323 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.323 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.323 * [taylor]: Taking taylor expansion of J in U 16.323 * [backup-simplify]: Simplify J into J 16.323 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.323 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.324 * [backup-simplify]: Simplify (- 0) into 0 16.324 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.324 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 16.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 16.324 * [taylor]: Taking taylor expansion of 1/2 in U 16.324 * [backup-simplify]: Simplify 1/2 into 1/2 16.324 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 16.324 * [taylor]: Taking taylor expansion of U in U 16.324 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify 1 into 1 16.324 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 16.324 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 16.324 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 16.324 * [taylor]: Taking taylor expansion of 1/2 in U 16.324 * [backup-simplify]: Simplify 1/2 into 1/2 16.324 * [taylor]: Taking taylor expansion of K in U 16.324 * [backup-simplify]: Simplify K into K 16.324 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.324 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.324 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.324 * [taylor]: Taking taylor expansion of J in U 16.324 * [backup-simplify]: Simplify J into J 16.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.324 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.325 * [backup-simplify]: Simplify (- 0) into 0 16.325 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.325 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.325 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 16.325 * [backup-simplify]: Simplify (* 1 1) into 1 16.325 * [backup-simplify]: Simplify (+ 1 0) into 1 16.326 * [backup-simplify]: Simplify (sqrt 1) into 1 16.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.326 * [backup-simplify]: Simplify (+ 0 0) into 0 16.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.327 * [taylor]: Taking taylor expansion of J in U 16.327 * [backup-simplify]: Simplify J into J 16.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.327 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.327 * [backup-simplify]: Simplify (- 0) into 0 16.327 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.327 * [backup-simplify]: Simplify (* 1 J) into J 16.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 16.327 * [backup-simplify]: Simplify (log (* (cos (* 1/2 K)) J)) into (log (* (cos (* 1/2 K)) J)) 16.327 * [backup-simplify]: Simplify (* 1/3 (log (* (cos (* 1/2 K)) J))) into (* 1/3 (log (* (cos (* 1/2 K)) J))) 16.327 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) into (pow (* (cos (* 1/2 K)) J) 1/3) 16.328 * [taylor]: Taking taylor expansion of (cbrt -2) in U 16.328 * [taylor]: Taking taylor expansion of -2 in U 16.328 * [backup-simplify]: Simplify -2 into -2 16.328 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.328 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.329 * [backup-simplify]: Simplify (* (pow (* (cos (* 1/2 K)) J) 1/3) (cbrt -2)) into (* (pow (* (cos (* 1/2 K)) J) 1/3) (cbrt -2)) 16.329 * [taylor]: Taking taylor expansion of (* (pow (* (cos (* 1/2 K)) J) 1/3) (cbrt -2)) in J 16.329 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in J 16.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in J 16.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in J 16.329 * [taylor]: Taking taylor expansion of 1/3 in J 16.329 * [backup-simplify]: Simplify 1/3 into 1/3 16.329 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in J 16.329 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 16.329 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.329 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.329 * [taylor]: Taking taylor expansion of 1/2 in J 16.329 * [backup-simplify]: Simplify 1/2 into 1/2 16.329 * [taylor]: Taking taylor expansion of K in J 16.329 * [backup-simplify]: Simplify K into K 16.329 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.329 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.329 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.329 * [taylor]: Taking taylor expansion of J in J 16.329 * [backup-simplify]: Simplify 0 into 0 16.329 * [backup-simplify]: Simplify 1 into 1 16.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.329 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.330 * [backup-simplify]: Simplify (- 0) into 0 16.330 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.330 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 16.330 * [backup-simplify]: Simplify (+ 0) into 0 16.330 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.331 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.332 * [backup-simplify]: Simplify (- 0) into 0 16.332 * [backup-simplify]: Simplify (+ 0 0) into 0 16.332 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 16.332 * [backup-simplify]: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) 16.333 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 16.333 * [backup-simplify]: Simplify (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) into (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) 16.333 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) into (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 16.333 * [taylor]: Taking taylor expansion of (cbrt -2) in J 16.333 * [taylor]: Taking taylor expansion of -2 in J 16.333 * [backup-simplify]: Simplify -2 into -2 16.333 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.334 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.334 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) (cbrt -2)) into (* (cbrt -2) (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K))))))) 16.334 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K))))))) in K 16.334 * [taylor]: Taking taylor expansion of (cbrt -2) in K 16.334 * [taylor]: Taking taylor expansion of -2 in K 16.334 * [backup-simplify]: Simplify -2 into -2 16.335 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.335 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) in K 16.335 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) in K 16.335 * [taylor]: Taking taylor expansion of 1/3 in K 16.335 * [backup-simplify]: Simplify 1/3 into 1/3 16.335 * [taylor]: Taking taylor expansion of (+ (log J) (log (cos (* 1/2 K)))) in K 16.335 * [taylor]: Taking taylor expansion of (log J) in K 16.335 * [taylor]: Taking taylor expansion of J in K 16.335 * [backup-simplify]: Simplify J into J 16.335 * [backup-simplify]: Simplify (log J) into (log J) 16.335 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 16.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.336 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.336 * [taylor]: Taking taylor expansion of 1/2 in K 16.336 * [backup-simplify]: Simplify 1/2 into 1/2 16.336 * [taylor]: Taking taylor expansion of K in K 16.336 * [backup-simplify]: Simplify 0 into 0 16.336 * [backup-simplify]: Simplify 1 into 1 16.336 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.336 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.337 * [backup-simplify]: Simplify (log 1) into 0 16.337 * [backup-simplify]: Simplify (+ (log J) 0) into (log J) 16.337 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 16.337 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 16.337 * [backup-simplify]: Simplify (* (cbrt -2) (pow J 1/3)) into (* (cbrt -2) (pow J 1/3)) 16.337 * [backup-simplify]: Simplify (* (cbrt -2) (pow J 1/3)) into (* (cbrt -2) (pow J 1/3)) 16.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 16.338 * [backup-simplify]: Simplify (+ 0) into 0 16.339 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 16.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 16.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.340 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 16.340 * [backup-simplify]: Simplify (- 0) into 0 16.340 * [backup-simplify]: Simplify (+ 0 0) into 0 16.340 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 16.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cos (* 1/2 K)) J) 1)))) 1) into 0 16.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (cos (* 1/2 K)) J)))) into 0 16.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.342 * [backup-simplify]: Simplify (+ (* (pow (* (cos (* 1/2 K)) J) 1/3) 0) (* 0 (cbrt -2))) into 0 16.342 * [taylor]: Taking taylor expansion of 0 in J 16.342 * [backup-simplify]: Simplify 0 into 0 16.342 * [taylor]: Taking taylor expansion of 0 in K 16.342 * [backup-simplify]: Simplify 0 into 0 16.342 * [backup-simplify]: Simplify 0 into 0 16.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.343 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.347 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.348 * [backup-simplify]: Simplify (- 0) into 0 16.348 * [backup-simplify]: Simplify (+ 0 0) into 0 16.348 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 16.349 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 16.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (cos (* 1/2 K)))))) into 0 16.350 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.350 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 0) (* 0 (cbrt -2))) into 0 16.350 * [taylor]: Taking taylor expansion of 0 in K 16.351 * [backup-simplify]: Simplify 0 into 0 16.351 * [backup-simplify]: Simplify 0 into 0 16.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 16.351 * [backup-simplify]: Simplify (+ 0) into 0 16.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.352 * [backup-simplify]: Simplify (+ 0 0) into 0 16.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 16.353 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 16.354 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (pow J 1/3))) into 0 16.354 * [backup-simplify]: Simplify 0 into 0 16.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 16.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.358 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 16.358 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 16.358 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 16.359 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 16.360 * [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))) 16.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 16.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 16.365 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.365 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.366 * [backup-simplify]: Simplify (- 0) into 0 16.366 * [backup-simplify]: Simplify (+ 0 0) into 0 16.367 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 16.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cos (* 1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) 1)) (pow (* (cos (* 1/2 K)) J) 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 16.369 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (log (* (cos (* 1/2 K)) J))))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 16.370 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (* 1/24 (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3)) 16.371 * [backup-simplify]: Simplify (+ (* (pow (* (cos (* 1/2 K)) J) 1/3) 0) (+ (* 0 0) (* (* 1/24 (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3)) (cbrt -2)))) into (* 1/24 (* (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) (cbrt -2))) 16.371 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) (cbrt -2))) in J 16.371 * [taylor]: Taking taylor expansion of 1/24 in J 16.371 * [backup-simplify]: Simplify 1/24 into 1/24 16.371 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) (cbrt -2)) in J 16.371 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) 1/3) in J 16.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5)))))) in J 16.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))))) in J 16.371 * [taylor]: Taking taylor expansion of 1/3 in J 16.371 * [backup-simplify]: Simplify 1/3 into 1/3 16.371 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5)))) in J 16.371 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 5) (pow J 5))) in J 16.371 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 5) (pow J 5)) in J 16.371 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 5) in J 16.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 16.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 16.371 * [taylor]: Taking taylor expansion of 1/2 in J 16.371 * [backup-simplify]: Simplify 1/2 into 1/2 16.371 * [taylor]: Taking taylor expansion of K in J 16.371 * [backup-simplify]: Simplify K into K 16.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 16.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 16.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 16.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 16.371 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 16.372 * [backup-simplify]: Simplify (- 0) into 0 16.372 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 16.372 * [taylor]: Taking taylor expansion of (pow J 5) in J 16.372 * [taylor]: Taking taylor expansion of J in J 16.372 * [backup-simplify]: Simplify 0 into 0 16.372 * [backup-simplify]: Simplify 1 into 1 16.372 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 16.372 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4) 16.372 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 4)) into (pow (cos (* 1/2 K)) 5) 16.372 * [backup-simplify]: Simplify (* 1 1) into 1 16.372 * [backup-simplify]: Simplify (* 1 1) into 1 16.373 * [backup-simplify]: Simplify (* 1 1) into 1 16.373 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 5) 1) into (pow (cos (* 1/2 K)) 5) 16.373 * [backup-simplify]: Simplify (/ 1 (pow (cos (* 1/2 K)) 5)) into (/ 1 (pow (cos (* 1/2 K)) 5)) 16.373 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (* 1/2 K)) 5))) into (log (/ 1 (pow (cos (* 1/2 K)) 5))) 16.373 * [backup-simplify]: Simplify (+ (* (- 5) (log J)) (log (/ 1 (pow (cos (* 1/2 K)) 5)))) into (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))) 16.373 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))) into (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))) 16.374 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) into (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) 16.374 * [taylor]: Taking taylor expansion of (cbrt -2) in J 16.374 * [taylor]: Taking taylor expansion of -2 in J 16.374 * [backup-simplify]: Simplify -2 into -2 16.374 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.374 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.375 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) (cbrt -2)) into (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))))) 16.375 * [backup-simplify]: Simplify (* 1/24 (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))))) into (* 1/24 (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))))) 16.375 * [taylor]: Taking taylor expansion of (* 1/24 (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))))) in K 16.375 * [taylor]: Taking taylor expansion of 1/24 in K 16.375 * [backup-simplify]: Simplify 1/24 into 1/24 16.375 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))))) in K 16.375 * [taylor]: Taking taylor expansion of (cbrt -2) in K 16.375 * [taylor]: Taking taylor expansion of -2 in K 16.375 * [backup-simplify]: Simplify -2 into -2 16.376 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.376 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))))) in K 16.376 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J)))) in K 16.376 * [taylor]: Taking taylor expansion of 1/3 in K 16.376 * [backup-simplify]: Simplify 1/3 into 1/3 16.376 * [taylor]: Taking taylor expansion of (- (log (/ 1 (pow (cos (* 1/2 K)) 5))) (* 5 (log J))) in K 16.376 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (* 1/2 K)) 5))) in K 16.376 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (* 1/2 K)) 5)) in K 16.376 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 5) in K 16.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 16.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 16.376 * [taylor]: Taking taylor expansion of 1/2 in K 16.376 * [backup-simplify]: Simplify 1/2 into 1/2 16.376 * [taylor]: Taking taylor expansion of K in K 16.376 * [backup-simplify]: Simplify 0 into 0 16.377 * [backup-simplify]: Simplify 1 into 1 16.377 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.377 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 16.377 * [backup-simplify]: Simplify (* 1 1) into 1 16.378 * [backup-simplify]: Simplify (* 1 1) into 1 16.378 * [backup-simplify]: Simplify (* 1 1) into 1 16.378 * [backup-simplify]: Simplify (/ 1 1) into 1 16.378 * [backup-simplify]: Simplify (log 1) into 0 16.378 * [taylor]: Taking taylor expansion of (* 5 (log J)) in K 16.378 * [taylor]: Taking taylor expansion of 5 in K 16.378 * [backup-simplify]: Simplify 5 into 5 16.378 * [taylor]: Taking taylor expansion of (log J) in K 16.379 * [taylor]: Taking taylor expansion of J in K 16.379 * [backup-simplify]: Simplify J into J 16.379 * [backup-simplify]: Simplify (log J) into (log J) 16.379 * [backup-simplify]: Simplify (* 5 (log J)) into (* 5 (log J)) 16.379 * [backup-simplify]: Simplify (- (* 5 (log J))) into (- (* 5 (log J))) 16.379 * [backup-simplify]: Simplify (+ 0 (- (* 5 (log J)))) into (- (* 5 (log J))) 16.379 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log J)))) into (* -5/3 (log J)) 16.379 * [backup-simplify]: Simplify (exp (* -5/3 (log J))) into (pow J -5/3) 16.379 * [backup-simplify]: Simplify (* (cbrt -2) (pow J -5/3)) into (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3)) 16.380 * [backup-simplify]: Simplify (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) into (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) 16.380 * [backup-simplify]: Simplify (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) into (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) 16.380 * [taylor]: Taking taylor expansion of 0 in K 16.380 * [backup-simplify]: Simplify 0 into 0 16.380 * [backup-simplify]: Simplify 0 into 0 16.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 16.382 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.382 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 16.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.384 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.384 * [backup-simplify]: Simplify (- 0) into 0 16.385 * [backup-simplify]: Simplify (+ 0 0) into 0 16.385 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.386 * [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 16.387 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 16.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (cos (* 1/2 K))))))) into 0 16.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.389 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 0) (+ (* 0 0) (* 0 (cbrt -2)))) into 0 16.389 * [taylor]: Taking taylor expansion of 0 in K 16.389 * [backup-simplify]: Simplify 0 into 0 16.389 * [backup-simplify]: Simplify 0 into 0 16.389 * [backup-simplify]: Simplify 0 into 0 16.389 * [backup-simplify]: Simplify 0 into 0 16.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 16.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 16.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 16.392 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 16.393 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (log J)))) into (- 1/24) 16.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (pow J 1/3)) 16.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 16.396 * [backup-simplify]: Simplify (+ (* (cbrt -2) (* -1/24 (pow J 1/3))) (+ (* 0 0) (* 0 (pow J 1/3)))) into (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) 16.396 * [backup-simplify]: Simplify (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) into (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) 16.398 * [backup-simplify]: Simplify (+ (* (- (* 1/24 (* (cbrt -2) (pow J 1/3)))) (pow (* K (* 1 1)) 2)) (+ (* (* 1/24 (* (cbrt -2) (pow (/ 1 (pow J 5)) 1/3))) (pow (* 1 (* 1 U)) 2)) (* (cbrt -2) (pow J 1/3)))) into (- (+ (* (cbrt -2) (pow J 1/3)) (* 1/24 (* (* (pow U 2) (cbrt -2)) (pow (/ 1 (pow J 5)) 1/3)))) (* 1/24 (* (* (pow K 2) (cbrt -2)) (pow J 1/3)))) 16.398 * [backup-simplify]: Simplify (cbrt (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))))) into (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) 16.398 * [approximate]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in (U J K) around 0 16.398 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in K 16.398 * [taylor]: Taking taylor expansion of (cbrt -2) in K 16.398 * [taylor]: Taking taylor expansion of -2 in K 16.398 * [backup-simplify]: Simplify -2 into -2 16.399 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.399 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.399 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in K 16.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in K 16.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in K 16.399 * [taylor]: Taking taylor expansion of 1/3 in K 16.399 * [backup-simplify]: Simplify 1/3 into 1/3 16.399 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 16.399 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 16.400 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 16.400 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 16.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.400 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 16.400 * [taylor]: Taking taylor expansion of (* 1 1) in K 16.400 * [taylor]: Taking taylor expansion of 1 in K 16.400 * [backup-simplify]: Simplify 1 into 1 16.400 * [taylor]: Taking taylor expansion of 1 in K 16.400 * [backup-simplify]: Simplify 1 into 1 16.400 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 16.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 16.400 * [taylor]: Taking taylor expansion of 1/2 in K 16.400 * [backup-simplify]: Simplify 1/2 into 1/2 16.400 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 16.400 * [taylor]: Taking taylor expansion of J in K 16.400 * [backup-simplify]: Simplify J into J 16.400 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 16.400 * [taylor]: Taking taylor expansion of U in K 16.400 * [backup-simplify]: Simplify U into U 16.400 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.400 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.400 * [taylor]: Taking taylor expansion of 1/2 in K 16.400 * [backup-simplify]: Simplify 1/2 into 1/2 16.400 * [taylor]: Taking taylor expansion of K in K 16.400 * [backup-simplify]: Simplify 0 into 0 16.400 * [backup-simplify]: Simplify 1 into 1 16.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.400 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.400 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.400 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 16.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 16.401 * [taylor]: Taking taylor expansion of 1/2 in K 16.401 * [backup-simplify]: Simplify 1/2 into 1/2 16.401 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 16.401 * [taylor]: Taking taylor expansion of J in K 16.401 * [backup-simplify]: Simplify J into J 16.401 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 16.401 * [taylor]: Taking taylor expansion of U in K 16.401 * [backup-simplify]: Simplify U into U 16.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.401 * [taylor]: Taking taylor expansion of 1/2 in K 16.401 * [backup-simplify]: Simplify 1/2 into 1/2 16.401 * [taylor]: Taking taylor expansion of K in K 16.401 * [backup-simplify]: Simplify 0 into 0 16.401 * [backup-simplify]: Simplify 1 into 1 16.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.401 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.401 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 16.402 * [backup-simplify]: Simplify (* 1 1) into 1 16.402 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 16.402 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 16.402 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 16.403 * [backup-simplify]: Simplify (+ 1 (* 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) 16.403 * [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)) 16.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.404 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 16.404 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 16.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 16.405 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 16.405 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 16.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 16.406 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 16.406 * [backup-simplify]: Simplify (+ 0 0) into 0 16.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 16.406 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 16.406 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 16.407 * [taylor]: Taking taylor expansion of 1/2 in K 16.407 * [backup-simplify]: Simplify 1/2 into 1/2 16.407 * [taylor]: Taking taylor expansion of K in K 16.407 * [backup-simplify]: Simplify 0 into 0 16.407 * [backup-simplify]: Simplify 1 into 1 16.407 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.407 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.407 * [taylor]: Taking taylor expansion of J in K 16.407 * [backup-simplify]: Simplify J into J 16.407 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 16.408 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 16.408 * [backup-simplify]: Simplify (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) into (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 16.409 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) 16.409 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (pow (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 1/3) 16.409 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in J 16.409 * [taylor]: Taking taylor expansion of (cbrt -2) in J 16.409 * [taylor]: Taking taylor expansion of -2 in J 16.409 * [backup-simplify]: Simplify -2 into -2 16.410 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.411 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.411 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in J 16.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in J 16.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in J 16.411 * [taylor]: Taking taylor expansion of 1/3 in J 16.411 * [backup-simplify]: Simplify 1/3 into 1/3 16.411 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 16.411 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 16.411 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 16.411 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 16.411 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.411 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 16.411 * [taylor]: Taking taylor expansion of (* 1 1) in J 16.411 * [taylor]: Taking taylor expansion of 1 in J 16.411 * [backup-simplify]: Simplify 1 into 1 16.411 * [taylor]: Taking taylor expansion of 1 in J 16.411 * [backup-simplify]: Simplify 1 into 1 16.411 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 16.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 16.411 * [taylor]: Taking taylor expansion of 1/2 in J 16.411 * [backup-simplify]: Simplify 1/2 into 1/2 16.411 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 16.411 * [taylor]: Taking taylor expansion of J in J 16.411 * [backup-simplify]: Simplify 0 into 0 16.411 * [backup-simplify]: Simplify 1 into 1 16.411 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 16.411 * [taylor]: Taking taylor expansion of U in J 16.411 * [backup-simplify]: Simplify U into U 16.411 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.411 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.411 * [taylor]: Taking taylor expansion of 1/2 in J 16.411 * [backup-simplify]: Simplify 1/2 into 1/2 16.411 * [taylor]: Taking taylor expansion of K in J 16.411 * [backup-simplify]: Simplify K into K 16.412 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.412 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.412 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.412 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.412 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.412 * [backup-simplify]: Simplify (- 0) into 0 16.412 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.412 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.412 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 16.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 16.413 * [taylor]: Taking taylor expansion of 1/2 in J 16.413 * [backup-simplify]: Simplify 1/2 into 1/2 16.413 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 16.413 * [taylor]: Taking taylor expansion of J in J 16.413 * [backup-simplify]: Simplify 0 into 0 16.413 * [backup-simplify]: Simplify 1 into 1 16.413 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 16.413 * [taylor]: Taking taylor expansion of U in J 16.413 * [backup-simplify]: Simplify U into U 16.413 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.413 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.413 * [taylor]: Taking taylor expansion of 1/2 in J 16.413 * [backup-simplify]: Simplify 1/2 into 1/2 16.413 * [taylor]: Taking taylor expansion of K in J 16.413 * [backup-simplify]: Simplify K into K 16.413 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.413 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.413 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.413 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.413 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.414 * [backup-simplify]: Simplify (- 0) into 0 16.414 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.414 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 16.414 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 16.414 * [backup-simplify]: Simplify (* 1 1) into 1 16.415 * [backup-simplify]: Simplify (+ 1 0) into 1 16.415 * [backup-simplify]: Simplify (sqrt 1) into 1 16.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.416 * [backup-simplify]: Simplify (+ 0 0) into 0 16.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.416 * [taylor]: Taking taylor expansion of 1/2 in J 16.416 * [backup-simplify]: Simplify 1/2 into 1/2 16.416 * [taylor]: Taking taylor expansion of K in J 16.417 * [backup-simplify]: Simplify K into K 16.417 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.417 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.417 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.417 * [taylor]: Taking taylor expansion of J in J 16.417 * [backup-simplify]: Simplify 0 into 0 16.417 * [backup-simplify]: Simplify 1 into 1 16.417 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.417 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.417 * [backup-simplify]: Simplify (- 0) into 0 16.417 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.417 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 16.417 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.417 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 16.418 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 16.418 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 16.418 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 16.418 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in U 16.418 * [taylor]: Taking taylor expansion of (cbrt -2) in U 16.418 * [taylor]: Taking taylor expansion of -2 in U 16.418 * [backup-simplify]: Simplify -2 into -2 16.418 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.419 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.419 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in U 16.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in U 16.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in U 16.419 * [taylor]: Taking taylor expansion of 1/3 in U 16.419 * [backup-simplify]: Simplify 1/3 into 1/3 16.419 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 16.419 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 16.419 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 16.419 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.419 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 16.419 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.419 * [taylor]: Taking taylor expansion of 1 in U 16.419 * [backup-simplify]: Simplify 1 into 1 16.419 * [taylor]: Taking taylor expansion of 1 in U 16.419 * [backup-simplify]: Simplify 1 into 1 16.419 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.419 * [taylor]: Taking taylor expansion of 1/2 in U 16.419 * [backup-simplify]: Simplify 1/2 into 1/2 16.419 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.419 * [taylor]: Taking taylor expansion of J in U 16.419 * [backup-simplify]: Simplify J into J 16.419 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.419 * [taylor]: Taking taylor expansion of U in U 16.419 * [backup-simplify]: Simplify 0 into 0 16.419 * [backup-simplify]: Simplify 1 into 1 16.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.419 * [taylor]: Taking taylor expansion of 1/2 in U 16.419 * [backup-simplify]: Simplify 1/2 into 1/2 16.419 * [taylor]: Taking taylor expansion of K in U 16.419 * [backup-simplify]: Simplify K into K 16.419 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.419 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.419 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.420 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.420 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.420 * [backup-simplify]: Simplify (- 0) into 0 16.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.420 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.420 * [backup-simplify]: Simplify (+ 0) into 0 16.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.421 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.422 * [backup-simplify]: Simplify (- 0) into 0 16.422 * [backup-simplify]: Simplify (+ 0 0) into 0 16.422 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.422 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.422 * [taylor]: Taking taylor expansion of 1/2 in U 16.422 * [backup-simplify]: Simplify 1/2 into 1/2 16.422 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.422 * [taylor]: Taking taylor expansion of J in U 16.422 * [backup-simplify]: Simplify J into J 16.422 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.422 * [taylor]: Taking taylor expansion of U in U 16.422 * [backup-simplify]: Simplify 0 into 0 16.422 * [backup-simplify]: Simplify 1 into 1 16.422 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.422 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.422 * [taylor]: Taking taylor expansion of 1/2 in U 16.422 * [backup-simplify]: Simplify 1/2 into 1/2 16.422 * [taylor]: Taking taylor expansion of K in U 16.422 * [backup-simplify]: Simplify K into K 16.422 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.423 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.423 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.423 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.423 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.423 * [backup-simplify]: Simplify (- 0) into 0 16.423 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.423 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.423 * [backup-simplify]: Simplify (+ 0) into 0 16.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.424 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.425 * [backup-simplify]: Simplify (- 0) into 0 16.425 * [backup-simplify]: Simplify (+ 0 0) into 0 16.425 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.425 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.425 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.425 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.426 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.426 * [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))) 16.426 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.427 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.428 * [backup-simplify]: Simplify (- 0) into 0 16.428 * [backup-simplify]: Simplify (+ 0 0) into 0 16.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.429 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.430 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.430 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.431 * [backup-simplify]: Simplify (- 0) into 0 16.432 * [backup-simplify]: Simplify (+ 0 0) into 0 16.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.432 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 16.433 * [backup-simplify]: Simplify (+ 0 0) into 0 16.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.433 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.433 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.433 * [taylor]: Taking taylor expansion of 1/2 in U 16.433 * [backup-simplify]: Simplify 1/2 into 1/2 16.433 * [taylor]: Taking taylor expansion of K in U 16.433 * [backup-simplify]: Simplify K into K 16.433 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.433 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.433 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.433 * [taylor]: Taking taylor expansion of J in U 16.433 * [backup-simplify]: Simplify J into J 16.433 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.434 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.434 * [backup-simplify]: Simplify (- 0) into 0 16.434 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.434 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 16.434 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.434 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.435 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.435 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.435 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.435 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3)) in U 16.435 * [taylor]: Taking taylor expansion of (cbrt -2) in U 16.435 * [taylor]: Taking taylor expansion of -2 in U 16.435 * [backup-simplify]: Simplify -2 into -2 16.436 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.436 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.436 * [taylor]: Taking taylor expansion of (pow (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) 1/3) in U 16.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)))) in U 16.436 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J))) in U 16.436 * [taylor]: Taking taylor expansion of 1/3 in U 16.436 * [backup-simplify]: Simplify 1/3 into 1/3 16.436 * [taylor]: Taking taylor expansion of (log (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 16.436 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 16.436 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 16.436 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 16.436 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 16.436 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.436 * [taylor]: Taking taylor expansion of 1 in U 16.436 * [backup-simplify]: Simplify 1 into 1 16.436 * [taylor]: Taking taylor expansion of 1 in U 16.436 * [backup-simplify]: Simplify 1 into 1 16.436 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 16.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.436 * [taylor]: Taking taylor expansion of 1/2 in U 16.437 * [backup-simplify]: Simplify 1/2 into 1/2 16.437 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.437 * [taylor]: Taking taylor expansion of J in U 16.437 * [backup-simplify]: Simplify J into J 16.437 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.437 * [taylor]: Taking taylor expansion of U in U 16.437 * [backup-simplify]: Simplify 0 into 0 16.437 * [backup-simplify]: Simplify 1 into 1 16.437 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.437 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.437 * [taylor]: Taking taylor expansion of 1/2 in U 16.437 * [backup-simplify]: Simplify 1/2 into 1/2 16.437 * [taylor]: Taking taylor expansion of K in U 16.437 * [backup-simplify]: Simplify K into K 16.437 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.437 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.437 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.437 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.437 * [backup-simplify]: Simplify (- 0) into 0 16.437 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.437 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.438 * [backup-simplify]: Simplify (+ 0) into 0 16.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.438 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.439 * [backup-simplify]: Simplify (- 0) into 0 16.439 * [backup-simplify]: Simplify (+ 0 0) into 0 16.439 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.440 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 16.440 * [taylor]: Taking taylor expansion of 1/2 in U 16.440 * [backup-simplify]: Simplify 1/2 into 1/2 16.440 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 16.440 * [taylor]: Taking taylor expansion of J in U 16.440 * [backup-simplify]: Simplify J into J 16.440 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 16.440 * [taylor]: Taking taylor expansion of U in U 16.440 * [backup-simplify]: Simplify 0 into 0 16.440 * [backup-simplify]: Simplify 1 into 1 16.440 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.440 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.440 * [taylor]: Taking taylor expansion of 1/2 in U 16.440 * [backup-simplify]: Simplify 1/2 into 1/2 16.440 * [taylor]: Taking taylor expansion of K in U 16.440 * [backup-simplify]: Simplify K into K 16.440 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.440 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.440 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.440 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.440 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.440 * [backup-simplify]: Simplify (- 0) into 0 16.440 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.440 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 16.441 * [backup-simplify]: Simplify (+ 0) into 0 16.441 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.441 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.442 * [backup-simplify]: Simplify (- 0) into 0 16.442 * [backup-simplify]: Simplify (+ 0 0) into 0 16.443 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 16.443 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 16.443 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.443 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.443 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 16.443 * [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))) 16.443 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 16.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.445 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.445 * [backup-simplify]: Simplify (- 0) into 0 16.446 * [backup-simplify]: Simplify (+ 0 0) into 0 16.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.446 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.451 * [backup-simplify]: Simplify (- 0) into 0 16.452 * [backup-simplify]: Simplify (+ 0 0) into 0 16.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 16.452 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 16.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 16.453 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 16.453 * [backup-simplify]: Simplify (+ 0 0) into 0 16.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 16.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 16.453 * [taylor]: Taking taylor expansion of 1/2 in U 16.453 * [backup-simplify]: Simplify 1/2 into 1/2 16.454 * [taylor]: Taking taylor expansion of K in U 16.454 * [backup-simplify]: Simplify K into K 16.454 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.454 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.454 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.454 * [taylor]: Taking taylor expansion of J in U 16.454 * [backup-simplify]: Simplify J into J 16.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.454 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.454 * [backup-simplify]: Simplify (- 0) into 0 16.454 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.455 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 16.455 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.455 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.456 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.456 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.457 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.458 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 16.458 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) in J 16.458 * [taylor]: Taking taylor expansion of (cbrt -2) in J 16.458 * [taylor]: Taking taylor expansion of -2 in J 16.458 * [backup-simplify]: Simplify -2 into -2 16.458 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.459 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 16.459 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 16.459 * [taylor]: Taking taylor expansion of 1/3 in J 16.459 * [backup-simplify]: Simplify 1/3 into 1/3 16.459 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 16.459 * [taylor]: Taking taylor expansion of (log 1/2) in J 16.459 * [taylor]: Taking taylor expansion of 1/2 in J 16.459 * [backup-simplify]: Simplify 1/2 into 1/2 16.460 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.460 * [taylor]: Taking taylor expansion of (log U) in J 16.460 * [taylor]: Taking taylor expansion of U in J 16.460 * [backup-simplify]: Simplify U into U 16.460 * [backup-simplify]: Simplify (log U) into (log U) 16.460 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 16.461 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 16.461 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.461 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.462 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 16.462 * [taylor]: Taking taylor expansion of (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) in K 16.462 * [taylor]: Taking taylor expansion of (cbrt -2) in K 16.463 * [taylor]: Taking taylor expansion of -2 in K 16.463 * [backup-simplify]: Simplify -2 into -2 16.463 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.464 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in K 16.464 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in K 16.464 * [taylor]: Taking taylor expansion of 1/3 in K 16.464 * [backup-simplify]: Simplify 1/3 into 1/3 16.464 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in K 16.464 * [taylor]: Taking taylor expansion of (log 1/2) in K 16.464 * [taylor]: Taking taylor expansion of 1/2 in K 16.464 * [backup-simplify]: Simplify 1/2 into 1/2 16.464 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.465 * [taylor]: Taking taylor expansion of (log U) in K 16.465 * [taylor]: Taking taylor expansion of U in K 16.465 * [backup-simplify]: Simplify U into U 16.465 * [backup-simplify]: Simplify (log U) into (log U) 16.465 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 16.465 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 16.466 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.466 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.467 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 16.468 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log U))))) 16.469 * [backup-simplify]: Simplify (+ 0) into 0 16.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.471 * [backup-simplify]: Simplify (- 0) into 0 16.472 * [backup-simplify]: Simplify (+ 0 0) into 0 16.472 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.472 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 16.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.474 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.478 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U)))))) into 0 16.478 * [taylor]: Taking taylor expansion of 0 in J 16.478 * [backup-simplify]: Simplify 0 into 0 16.478 * [taylor]: Taking taylor expansion of 0 in K 16.478 * [backup-simplify]: Simplify 0 into 0 16.478 * [backup-simplify]: Simplify 0 into 0 16.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 16.482 * [backup-simplify]: Simplify (- 0) into 0 16.482 * [backup-simplify]: Simplify (+ 0 0) into 0 16.483 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.485 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.486 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U)))))) into 0 16.486 * [taylor]: Taking taylor expansion of 0 in K 16.487 * [backup-simplify]: Simplify 0 into 0 16.487 * [backup-simplify]: Simplify 0 into 0 16.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 16.490 * [backup-simplify]: Simplify (- 0) into 0 16.490 * [backup-simplify]: Simplify (+ 0 0) into 0 16.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.493 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.494 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U)))))) into 0 16.494 * [backup-simplify]: Simplify 0 into 0 16.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.498 * [backup-simplify]: Simplify (- 0) into 0 16.498 * [backup-simplify]: Simplify (+ 0 0) into 0 16.499 * [backup-simplify]: Simplify (* 1 1) into 1 16.499 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.500 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.503 * [backup-simplify]: Simplify (- 0) into 0 16.504 * [backup-simplify]: Simplify (+ 0 0) into 0 16.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.505 * [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 16.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 16.508 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.509 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.511 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.512 * [backup-simplify]: Simplify (- 0) into 0 16.512 * [backup-simplify]: Simplify (+ 0 0) into 0 16.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 16.514 * [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 16.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 16.515 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 16.516 * [backup-simplify]: Simplify (+ 1 0) into 1 16.517 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 16.517 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 16.518 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 16.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1)) (pow 1/2 1)))) 2) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 16.521 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.522 * [backup-simplify]: Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 16.523 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 16.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 16.527 * [backup-simplify]: Simplify (+ (* (cbrt -2) (* 2/3 (/ (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)))) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U))))))) into (* 2/3 (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (pow J 2))) 16.527 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (pow J 2))) in J 16.527 * [taylor]: Taking taylor expansion of 2/3 in J 16.527 * [backup-simplify]: Simplify 2/3 into 2/3 16.527 * [taylor]: Taking taylor expansion of (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (pow J 2)) in J 16.527 * [taylor]: Taking taylor expansion of (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) in J 16.527 * [taylor]: Taking taylor expansion of (cbrt -2) in J 16.527 * [taylor]: Taking taylor expansion of -2 in J 16.528 * [backup-simplify]: Simplify -2 into -2 16.528 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2) 16.529 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0 16.529 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) in J 16.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 16.529 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 16.529 * [taylor]: Taking taylor expansion of 1/3 in J 16.529 * [backup-simplify]: Simplify 1/3 into 1/3 16.529 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 16.529 * [taylor]: Taking taylor expansion of (log 1/2) in J 16.529 * [taylor]: Taking taylor expansion of 1/2 in J 16.529 * [backup-simplify]: Simplify 1/2 into 1/2 16.529 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.529 * [taylor]: Taking taylor expansion of (log U) in J 16.529 * [taylor]: Taking taylor expansion of U in J 16.529 * [backup-simplify]: Simplify U into U 16.529 * [backup-simplify]: Simplify (log U) into (log U) 16.530 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 16.530 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 16.530 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.531 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.531 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 16.531 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 16.531 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 16.531 * [taylor]: Taking taylor expansion of 1/2 in J 16.531 * [backup-simplify]: Simplify 1/2 into 1/2 16.531 * [taylor]: Taking taylor expansion of K in J 16.531 * [backup-simplify]: Simplify K into K 16.531 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 16.531 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 16.531 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 16.531 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 16.531 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 16.532 * [backup-simplify]: Simplify (- 0) into 0 16.532 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 16.532 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.532 * [taylor]: Taking taylor expansion of J in J 16.532 * [backup-simplify]: Simplify 0 into 0 16.532 * [backup-simplify]: Simplify 1 into 1 16.532 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 16.533 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)) 16.534 * [backup-simplify]: Simplify (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) into (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) 16.534 * [backup-simplify]: Simplify (* 1 1) into 1 16.535 * [backup-simplify]: Simplify (/ (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) 1) into (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) 16.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 16.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.537 * [backup-simplify]: Simplify (+ 0) into 0 16.538 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.538 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.538 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.540 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.540 * [backup-simplify]: Simplify (- 0) into 0 16.541 * [backup-simplify]: Simplify (+ 0 0) into 0 16.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 16.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 16.542 * [backup-simplify]: Simplify (- 0) into 0 16.542 * [backup-simplify]: Simplify (+ 0 0) into 0 16.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 16.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 16.545 * [backup-simplify]: Simplify (- 0) into 0 16.546 * [backup-simplify]: Simplify (+ 0 0) into 0 16.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.548 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 16.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 16.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 16.553 * [backup-simplify]: Simplify (- 0) into 0 16.554 * [backup-simplify]: Simplify (+ 0 0) into 0 16.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 16.557 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.558 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 16.558 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 16.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 16.561 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))))) into 0 16.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.563 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)))) into 0 16.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (/ 0 1)))) into 0 16.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.570 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (cbrt -2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (pow (cos (/ 1/2 K)) 2)))))) into 0 16.570 * [taylor]: Taking taylor expansion of 0 in K 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [taylor]: Taking taylor expansion of 0 in K 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [backup-simplify]: Simplify 0 into 0 16.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 16.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 16.576 * [backup-simplify]: Simplify (- 0) into 0 16.576 * [backup-simplify]: Simplify (+ 0 0) into 0 16.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 16.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0 16.582 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 1/2) (log U))))))) into 0 16.582 * [taylor]: Taking taylor expansion of 0 in K 16.582 * [backup-simplify]: Simplify 0 into 0 16.582 * [backup-simplify]: Simplify 0 into 0 16.583 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log (/ 1 U)))))) into (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log (/ 1 U)))))) 16.584 * [backup-simplify]: Simplify (cbrt (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))))) into (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) 16.584 * [approximate]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in (U J K) around 0 16.584 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in K 16.584 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in K 16.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in K 16.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in K 16.584 * [taylor]: Taking taylor expansion of 1/3 in K 16.584 * [backup-simplify]: Simplify 1/3 into 1/3 16.584 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 16.584 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 16.584 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 16.584 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.584 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.584 * [taylor]: Taking taylor expansion of -1/2 in K 16.584 * [backup-simplify]: Simplify -1/2 into -1/2 16.584 * [taylor]: Taking taylor expansion of K in K 16.584 * [backup-simplify]: Simplify 0 into 0 16.584 * [backup-simplify]: Simplify 1 into 1 16.585 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.585 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.585 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 16.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.585 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 16.585 * [taylor]: Taking taylor expansion of (* 1 1) in K 16.585 * [taylor]: Taking taylor expansion of 1 in K 16.585 * [backup-simplify]: Simplify 1 into 1 16.585 * [taylor]: Taking taylor expansion of 1 in K 16.585 * [backup-simplify]: Simplify 1 into 1 16.585 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 16.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 16.585 * [taylor]: Taking taylor expansion of 1/2 in K 16.585 * [backup-simplify]: Simplify 1/2 into 1/2 16.585 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 16.585 * [taylor]: Taking taylor expansion of J in K 16.585 * [backup-simplify]: Simplify J into J 16.585 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 16.585 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.585 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.585 * [taylor]: Taking taylor expansion of -1/2 in K 16.585 * [backup-simplify]: Simplify -1/2 into -1/2 16.585 * [taylor]: Taking taylor expansion of K in K 16.585 * [backup-simplify]: Simplify 0 into 0 16.585 * [backup-simplify]: Simplify 1 into 1 16.586 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.586 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.586 * [taylor]: Taking taylor expansion of U in K 16.586 * [backup-simplify]: Simplify U into U 16.586 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.586 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 16.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 16.586 * [taylor]: Taking taylor expansion of 1/2 in K 16.586 * [backup-simplify]: Simplify 1/2 into 1/2 16.586 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 16.586 * [taylor]: Taking taylor expansion of J in K 16.586 * [backup-simplify]: Simplify J into J 16.586 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 16.586 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 16.586 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 16.587 * [taylor]: Taking taylor expansion of -1/2 in K 16.587 * [backup-simplify]: Simplify -1/2 into -1/2 16.587 * [taylor]: Taking taylor expansion of K in K 16.587 * [backup-simplify]: Simplify 0 into 0 16.587 * [backup-simplify]: Simplify 1 into 1 16.587 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 16.587 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.587 * [taylor]: Taking taylor expansion of U in K 16.587 * [backup-simplify]: Simplify U into U 16.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.587 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 16.588 * [backup-simplify]: Simplify (* 1 1) into 1 16.588 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 16.588 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 16.588 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 16.589 * [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))))) 16.589 * [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)))))) 16.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 16.590 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 16.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 16.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 16.591 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 16.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 16.592 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 16.593 * [backup-simplify]: Simplify (+ 0 0) into 0 16.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 16.593 * [taylor]: Taking taylor expansion of J in K 16.593 * [backup-simplify]: Simplify J into J 16.594 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 16.594 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 16.595 * [backup-simplify]: Simplify (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 16.595 * [backup-simplify]: Simplify (* 1/3 (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into (* 1/3 (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) 16.596 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))) into (pow (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1/3) 16.596 * [taylor]: Taking taylor expansion of (cbrt 2) in K 16.596 * [taylor]: Taking taylor expansion of 2 in K 16.596 * [backup-simplify]: Simplify 2 into 2 16.600 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 16.601 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 16.601 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in J 16.601 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in J 16.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in J 16.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in J 16.601 * [taylor]: Taking taylor expansion of 1/3 in J 16.601 * [backup-simplify]: Simplify 1/3 into 1/3 16.601 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 16.601 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 16.601 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 16.601 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.601 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.601 * [taylor]: Taking taylor expansion of -1/2 in J 16.601 * [backup-simplify]: Simplify -1/2 into -1/2 16.601 * [taylor]: Taking taylor expansion of K in J 16.601 * [backup-simplify]: Simplify K into K 16.601 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.601 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.601 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.602 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 16.602 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.602 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 16.602 * [taylor]: Taking taylor expansion of (* 1 1) in J 16.602 * [taylor]: Taking taylor expansion of 1 in J 16.602 * [backup-simplify]: Simplify 1 into 1 16.602 * [taylor]: Taking taylor expansion of 1 in J 16.602 * [backup-simplify]: Simplify 1 into 1 16.602 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 16.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 16.602 * [taylor]: Taking taylor expansion of 1/2 in J 16.602 * [backup-simplify]: Simplify 1/2 into 1/2 16.602 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 16.602 * [taylor]: Taking taylor expansion of J in J 16.602 * [backup-simplify]: Simplify 0 into 0 16.602 * [backup-simplify]: Simplify 1 into 1 16.602 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 16.602 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.602 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.602 * [taylor]: Taking taylor expansion of -1/2 in J 16.602 * [backup-simplify]: Simplify -1/2 into -1/2 16.602 * [taylor]: Taking taylor expansion of K in J 16.602 * [backup-simplify]: Simplify K into K 16.602 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.602 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.602 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.602 * [taylor]: Taking taylor expansion of U in J 16.602 * [backup-simplify]: Simplify U into U 16.603 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.603 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.603 * [backup-simplify]: Simplify (- 0) into 0 16.603 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.603 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.603 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 16.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 16.604 * [taylor]: Taking taylor expansion of 1/2 in J 16.604 * [backup-simplify]: Simplify 1/2 into 1/2 16.604 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 16.604 * [taylor]: Taking taylor expansion of J in J 16.604 * [backup-simplify]: Simplify 0 into 0 16.604 * [backup-simplify]: Simplify 1 into 1 16.604 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 16.604 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.604 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.604 * [taylor]: Taking taylor expansion of -1/2 in J 16.604 * [backup-simplify]: Simplify -1/2 into -1/2 16.604 * [taylor]: Taking taylor expansion of K in J 16.604 * [backup-simplify]: Simplify K into K 16.604 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.604 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.604 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.604 * [taylor]: Taking taylor expansion of U in J 16.604 * [backup-simplify]: Simplify U into U 16.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.604 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.605 * [backup-simplify]: Simplify (- 0) into 0 16.605 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 16.605 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 16.606 * [backup-simplify]: Simplify (* 1 1) into 1 16.606 * [backup-simplify]: Simplify (+ 1 0) into 1 16.606 * [backup-simplify]: Simplify (sqrt 1) into 1 16.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.607 * [backup-simplify]: Simplify (+ 0 0) into 0 16.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.608 * [taylor]: Taking taylor expansion of J in J 16.608 * [backup-simplify]: Simplify 0 into 0 16.608 * [backup-simplify]: Simplify 1 into 1 16.608 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.608 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.609 * [backup-simplify]: Simplify (- 0) into 0 16.609 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.609 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.609 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.609 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 16.610 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 16.610 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 16.610 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 16.610 * [taylor]: Taking taylor expansion of (cbrt 2) in J 16.610 * [taylor]: Taking taylor expansion of 2 in J 16.610 * [backup-simplify]: Simplify 2 into 2 16.611 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 16.611 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 16.612 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in U 16.612 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in U 16.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in U 16.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in U 16.612 * [taylor]: Taking taylor expansion of 1/3 in U 16.612 * [backup-simplify]: Simplify 1/3 into 1/3 16.612 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 16.612 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 16.612 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.612 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.612 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.612 * [taylor]: Taking taylor expansion of -1/2 in U 16.612 * [backup-simplify]: Simplify -1/2 into -1/2 16.612 * [taylor]: Taking taylor expansion of K in U 16.612 * [backup-simplify]: Simplify K into K 16.612 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.612 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.612 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.612 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.612 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.612 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.612 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.612 * [taylor]: Taking taylor expansion of 1 in U 16.612 * [backup-simplify]: Simplify 1 into 1 16.612 * [taylor]: Taking taylor expansion of 1 in U 16.612 * [backup-simplify]: Simplify 1 into 1 16.612 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.613 * [taylor]: Taking taylor expansion of 1/2 in U 16.613 * [backup-simplify]: Simplify 1/2 into 1/2 16.613 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.613 * [taylor]: Taking taylor expansion of J in U 16.613 * [backup-simplify]: Simplify J into J 16.613 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.613 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.613 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.613 * [taylor]: Taking taylor expansion of -1/2 in U 16.613 * [backup-simplify]: Simplify -1/2 into -1/2 16.613 * [taylor]: Taking taylor expansion of K in U 16.613 * [backup-simplify]: Simplify K into K 16.613 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.613 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.613 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.613 * [taylor]: Taking taylor expansion of U in U 16.613 * [backup-simplify]: Simplify 0 into 0 16.613 * [backup-simplify]: Simplify 1 into 1 16.613 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.613 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.614 * [backup-simplify]: Simplify (- 0) into 0 16.614 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.614 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.614 * [backup-simplify]: Simplify (+ 0) into 0 16.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.617 * [backup-simplify]: Simplify (- 0) into 0 16.617 * [backup-simplify]: Simplify (+ 0 0) into 0 16.618 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.618 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.618 * [taylor]: Taking taylor expansion of 1/2 in U 16.618 * [backup-simplify]: Simplify 1/2 into 1/2 16.618 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.618 * [taylor]: Taking taylor expansion of J in U 16.618 * [backup-simplify]: Simplify J into J 16.618 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.618 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.618 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.618 * [taylor]: Taking taylor expansion of -1/2 in U 16.618 * [backup-simplify]: Simplify -1/2 into -1/2 16.618 * [taylor]: Taking taylor expansion of K in U 16.618 * [backup-simplify]: Simplify K into K 16.618 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.618 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.618 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.618 * [taylor]: Taking taylor expansion of U in U 16.618 * [backup-simplify]: Simplify 0 into 0 16.619 * [backup-simplify]: Simplify 1 into 1 16.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.619 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.619 * [backup-simplify]: Simplify (- 0) into 0 16.619 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.620 * [backup-simplify]: Simplify (+ 0) into 0 16.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.622 * [backup-simplify]: Simplify (- 0) into 0 16.622 * [backup-simplify]: Simplify (+ 0 0) into 0 16.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.622 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.622 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.622 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.623 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.623 * [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))) 16.623 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.624 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.624 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.625 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.625 * [backup-simplify]: Simplify (- 0) into 0 16.625 * [backup-simplify]: Simplify (+ 0 0) into 0 16.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.626 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.627 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.628 * [backup-simplify]: Simplify (- 0) into 0 16.628 * [backup-simplify]: Simplify (+ 0 0) into 0 16.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.629 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.630 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.630 * [backup-simplify]: Simplify (+ 0 0) into 0 16.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.630 * [taylor]: Taking taylor expansion of J in U 16.630 * [backup-simplify]: Simplify J into J 16.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.630 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.630 * [backup-simplify]: Simplify (- 0) into 0 16.630 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.631 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 16.631 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.631 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.631 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.632 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.632 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.632 * [taylor]: Taking taylor expansion of (cbrt 2) in U 16.632 * [taylor]: Taking taylor expansion of 2 in U 16.632 * [backup-simplify]: Simplify 2 into 2 16.632 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 16.633 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 16.633 * [taylor]: Taking taylor expansion of (* (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) (cbrt 2)) in U 16.633 * [taylor]: Taking taylor expansion of (pow (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) 1/3) in U 16.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)))) in U 16.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J))) in U 16.633 * [taylor]: Taking taylor expansion of 1/3 in U 16.633 * [backup-simplify]: Simplify 1/3 into 1/3 16.633 * [taylor]: Taking taylor expansion of (log (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 16.633 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 16.633 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.633 * [taylor]: Taking taylor expansion of -1/2 in U 16.633 * [backup-simplify]: Simplify -1/2 into -1/2 16.633 * [taylor]: Taking taylor expansion of K in U 16.633 * [backup-simplify]: Simplify K into K 16.633 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.633 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.633 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.633 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.633 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 16.633 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 16.633 * [taylor]: Taking taylor expansion of (* 1 1) in U 16.633 * [taylor]: Taking taylor expansion of 1 in U 16.633 * [backup-simplify]: Simplify 1 into 1 16.633 * [taylor]: Taking taylor expansion of 1 in U 16.633 * [backup-simplify]: Simplify 1 into 1 16.633 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 16.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.633 * [taylor]: Taking taylor expansion of 1/2 in U 16.633 * [backup-simplify]: Simplify 1/2 into 1/2 16.633 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.633 * [taylor]: Taking taylor expansion of J in U 16.633 * [backup-simplify]: Simplify J into J 16.633 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.633 * [taylor]: Taking taylor expansion of -1/2 in U 16.633 * [backup-simplify]: Simplify -1/2 into -1/2 16.633 * [taylor]: Taking taylor expansion of K in U 16.633 * [backup-simplify]: Simplify K into K 16.633 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.634 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.634 * [taylor]: Taking taylor expansion of U in U 16.634 * [backup-simplify]: Simplify 0 into 0 16.634 * [backup-simplify]: Simplify 1 into 1 16.634 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.634 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.634 * [backup-simplify]: Simplify (- 0) into 0 16.634 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.634 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.634 * [backup-simplify]: Simplify (+ 0) into 0 16.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.636 * [backup-simplify]: Simplify (- 0) into 0 16.636 * [backup-simplify]: Simplify (+ 0 0) into 0 16.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.636 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 16.636 * [taylor]: Taking taylor expansion of 1/2 in U 16.636 * [backup-simplify]: Simplify 1/2 into 1/2 16.636 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 16.636 * [taylor]: Taking taylor expansion of J in U 16.636 * [backup-simplify]: Simplify J into J 16.636 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 16.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 16.637 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 16.637 * [taylor]: Taking taylor expansion of -1/2 in U 16.637 * [backup-simplify]: Simplify -1/2 into -1/2 16.637 * [taylor]: Taking taylor expansion of K in U 16.637 * [backup-simplify]: Simplify K into K 16.637 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.637 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.637 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.637 * [taylor]: Taking taylor expansion of U in U 16.637 * [backup-simplify]: Simplify 0 into 0 16.637 * [backup-simplify]: Simplify 1 into 1 16.637 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.637 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.637 * [backup-simplify]: Simplify (- 0) into 0 16.637 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.637 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 16.637 * [backup-simplify]: Simplify (+ 0) into 0 16.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.639 * [backup-simplify]: Simplify (- 0) into 0 16.639 * [backup-simplify]: Simplify (+ 0 0) into 0 16.639 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 16.639 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 16.640 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.640 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.640 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 16.640 * [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))) 16.640 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 16.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.641 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.642 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.642 * [backup-simplify]: Simplify (- 0) into 0 16.642 * [backup-simplify]: Simplify (+ 0 0) into 0 16.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.643 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.644 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.644 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.645 * [backup-simplify]: Simplify (- 0) into 0 16.646 * [backup-simplify]: Simplify (+ 0 0) into 0 16.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 16.646 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 16.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 16.647 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.647 * [backup-simplify]: Simplify (+ 0 0) into 0 16.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 16.647 * [taylor]: Taking taylor expansion of J in U 16.647 * [backup-simplify]: Simplify J into J 16.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.647 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.648 * [backup-simplify]: Simplify (- 0) into 0 16.648 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 16.648 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 16.648 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.649 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.649 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.649 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.649 * [taylor]: Taking taylor expansion of (cbrt 2) in U 16.649 * [taylor]: Taking taylor expansion of 2 in U 16.649 * [backup-simplify]: Simplify 2 into 2 16.649 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 16.650 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 16.651 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 16.651 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) in J 16.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 16.651 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 16.651 * [taylor]: Taking taylor expansion of 1/3 in J 16.651 * [backup-simplify]: Simplify 1/3 into 1/3 16.651 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 16.651 * [taylor]: Taking taylor expansion of (log 1/2) in J 16.651 * [taylor]: Taking taylor expansion of 1/2 in J 16.651 * [backup-simplify]: Simplify 1/2 into 1/2 16.651 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.651 * [taylor]: Taking taylor expansion of (log U) in J 16.651 * [taylor]: Taking taylor expansion of U in J 16.651 * [backup-simplify]: Simplify U into U 16.651 * [backup-simplify]: Simplify (log U) into (log U) 16.651 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 16.651 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 16.652 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.652 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.652 * [taylor]: Taking taylor expansion of (cbrt 2) in J 16.652 * [taylor]: Taking taylor expansion of 2 in J 16.652 * [backup-simplify]: Simplify 2 into 2 16.652 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 16.653 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 16.653 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 16.653 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) in K 16.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in K 16.653 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in K 16.653 * [taylor]: Taking taylor expansion of 1/3 in K 16.653 * [backup-simplify]: Simplify 1/3 into 1/3 16.653 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in K 16.653 * [taylor]: Taking taylor expansion of (log 1/2) in K 16.653 * [taylor]: Taking taylor expansion of 1/2 in K 16.653 * [backup-simplify]: Simplify 1/2 into 1/2 16.654 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.654 * [taylor]: Taking taylor expansion of (log U) in K 16.654 * [taylor]: Taking taylor expansion of U in K 16.654 * [backup-simplify]: Simplify U into U 16.654 * [backup-simplify]: Simplify (log U) into (log U) 16.654 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 16.654 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 16.654 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.655 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.655 * [taylor]: Taking taylor expansion of (cbrt 2) in K 16.655 * [taylor]: Taking taylor expansion of 2 in K 16.655 * [backup-simplify]: Simplify 2 into 2 16.655 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 16.655 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 16.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 16.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 16.657 * [backup-simplify]: Simplify (+ 0) into 0 16.657 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.657 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.658 * [backup-simplify]: Simplify (- 0) into 0 16.659 * [backup-simplify]: Simplify (+ 0 0) into 0 16.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 16.659 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 16.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.661 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.663 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 16.663 * [taylor]: Taking taylor expansion of 0 in J 16.663 * [backup-simplify]: Simplify 0 into 0 16.663 * [taylor]: Taking taylor expansion of 0 in K 16.663 * [backup-simplify]: Simplify 0 into 0 16.663 * [backup-simplify]: Simplify 0 into 0 16.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 16.665 * [backup-simplify]: Simplify (- 0) into 0 16.665 * [backup-simplify]: Simplify (+ 0 0) into 0 16.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.668 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 16.668 * [taylor]: Taking taylor expansion of 0 in K 16.668 * [backup-simplify]: Simplify 0 into 0 16.668 * [backup-simplify]: Simplify 0 into 0 16.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 16.670 * [backup-simplify]: Simplify (- 0) into 0 16.670 * [backup-simplify]: Simplify (+ 0 0) into 0 16.671 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.672 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.673 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 16.673 * [backup-simplify]: Simplify 0 into 0 16.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0 16.675 * [backup-simplify]: Simplify (* 1 1) into 1 16.676 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.680 * [backup-simplify]: Simplify (- 0) into 0 16.680 * [backup-simplify]: Simplify (+ 0 0) into 0 16.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.682 * [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 16.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 16.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 16.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.686 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 16.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 16.687 * [backup-simplify]: Simplify (- 0) into 0 16.687 * [backup-simplify]: Simplify (+ 0 0) into 0 16.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.687 * [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 16.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 16.688 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 16.689 * [backup-simplify]: Simplify (+ 1 0) into 1 16.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 16.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.691 * [backup-simplify]: Simplify (- 0) into 0 16.692 * [backup-simplify]: Simplify (+ 0 0) into 0 16.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 16.692 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 16.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1)) (pow 1/2 1)))) 2) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 16.694 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log 1/2)) into (- (log 1/2) (log U)) 16.695 * [backup-simplify]: Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 16.696 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log 1/2) (log U))))) (pow J 2))) 16.697 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log 1/2) (log U))))) (pow J 2))) (cbrt 2)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (pow J 2))) 16.697 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (pow J 2))) in J 16.697 * [taylor]: Taking taylor expansion of 2/3 in J 16.697 * [backup-simplify]: Simplify 2/3 into 2/3 16.697 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (pow J 2)) in J 16.697 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) in J 16.697 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 16.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 16.697 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 16.697 * [taylor]: Taking taylor expansion of -1/2 in J 16.697 * [backup-simplify]: Simplify -1/2 into -1/2 16.697 * [taylor]: Taking taylor expansion of K in J 16.697 * [backup-simplify]: Simplify K into K 16.697 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 16.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 16.698 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 16.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 16.698 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 16.698 * [backup-simplify]: Simplify (- 0) into 0 16.698 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 16.698 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) in J 16.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 1/2) (log U)))) in J 16.698 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 1/2) (log U))) in J 16.698 * [taylor]: Taking taylor expansion of 1/3 in J 16.698 * [backup-simplify]: Simplify 1/3 into 1/3 16.698 * [taylor]: Taking taylor expansion of (- (log 1/2) (log U)) in J 16.698 * [taylor]: Taking taylor expansion of (log 1/2) in J 16.698 * [taylor]: Taking taylor expansion of 1/2 in J 16.698 * [backup-simplify]: Simplify 1/2 into 1/2 16.698 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 16.698 * [taylor]: Taking taylor expansion of (log U) in J 16.698 * [taylor]: Taking taylor expansion of U in J 16.698 * [backup-simplify]: Simplify U into U 16.698 * [backup-simplify]: Simplify (log U) into (log U) 16.699 * [backup-simplify]: Simplify (- (log U)) into (- (log U)) 16.699 * [backup-simplify]: Simplify (+ (log 1/2) (- (log U))) into (- (log 1/2) (log U)) 16.699 * [backup-simplify]: Simplify (* 1/3 (- (log 1/2) (log U))) into (* 1/3 (- (log 1/2) (log U))) 16.699 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/2) (log U)))) into (exp (* 1/3 (- (log 1/2) (log U)))) 16.699 * [taylor]: Taking taylor expansion of (cbrt 2) in J 16.699 * [taylor]: Taking taylor expansion of 2 in J 16.699 * [backup-simplify]: Simplify 2 into 2 16.700 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2) 16.700 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0 16.700 * [taylor]: Taking taylor expansion of (pow J 2) in J 16.700 * [taylor]: Taking taylor expansion of J in J 16.700 * [backup-simplify]: Simplify 0 into 0 16.700 * [backup-simplify]: Simplify 1 into 1 16.700 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 16.701 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) into (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)) 16.701 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) into (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) 16.702 * [backup-simplify]: Simplify (* 1 1) into 1 16.702 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) 1) into (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) 16.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0 16.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 16.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 16.705 * [backup-simplify]: Simplify (- 0) into 0 16.705 * [backup-simplify]: Simplify (+ 0 0) into 0 16.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 1/2) (log U)))) into 0 16.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 16.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 16.711 * [backup-simplify]: Simplify (- 0) into 0 16.712 * [backup-simplify]: Simplify (+ 0 0) into 0 16.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 16.714 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.715 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0 16.716 * [backup-simplify]: Simplify (+ 0) into 0 16.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 16.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 16.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 16.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 16.718 * [backup-simplify]: Simplify (- 0) into 0 16.718 * [backup-simplify]: Simplify (+ 0 0) into 0 16.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 16.720 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (* 0 (cbrt 2))) into 0 16.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 16.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 16.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 16.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 16.723 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 16.724 * [backup-simplify]: Simplify (- 0) into 0 16.724 * [backup-simplify]: Simplify (+ 0 0) into 0 16.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 16.726 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))))) into 0 16.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.728 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)))) into 0 16.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (/ 0 1)))) into 0 16.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.733 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (* (exp (* 1/3 (- (log 1/2) (log U)))) (cbrt 2)))))) into 0 16.733 * [taylor]: Taking taylor expansion of 0 in K 16.734 * [backup-simplify]: Simplify 0 into 0 16.734 * [backup-simplify]: Simplify 0 into 0 16.734 * [taylor]: Taking taylor expansion of 0 in K 16.734 * [backup-simplify]: Simplify 0 into 0 16.734 * [backup-simplify]: Simplify 0 into 0 16.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0 16.736 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 16.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 16.738 * [backup-simplify]: Simplify (- 0) into 0 16.738 * [backup-simplify]: Simplify (+ 0 0) into 0 16.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 1/2) (log U))))) into 0 16.740 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.740 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/2) (log U)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0 16.741 * [taylor]: Taking taylor expansion of 0 in K 16.741 * [backup-simplify]: Simplify 0 into 0 16.741 * [backup-simplify]: Simplify 0 into 0 16.741 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/2) (log (/ 1 (- U)))))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (- (log 1/2) (log (/ -1 U)))))) 16.741 * * * [progress]: simplifying candidates 16.741 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 16.741 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 16.741 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 16.741 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 16.742 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 16.743 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 16.744 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 80 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 16.745 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 16.746 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 16.746 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 16.746 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 16.746 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 16.747 * [simplify]: Simplifying: (expm1 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (exp (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) 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(* -1 U) (* -1 U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- (+ (* (cbrt -2) (pow J 1/3)) (* 1/24 (* (* (pow U 2) (cbrt -2)) (pow (/ 1 (pow J 5)) 1/3)))) (* 1/24 (* (* (pow K 2) (cbrt -2)) (pow J 1/3)))) (* (cbrt -2) (exp (* 1/3 (- (log 1/2) (log (/ 1 U)))))) (* (cbrt 2) (exp (* 1/3 (- (log 1/2) (log (/ -1 U)))))) 16.748 * * [simplify]: iteration 1: (110 enodes) 16.778 * * [simplify]: iteration 2: (265 enodes) 16.873 * * [simplify]: iteration 3: (837 enodes) 17.633 * * [simplify]: Extracting #0: cost 26 inf + 0 17.634 * * [simplify]: Extracting #1: cost 317 inf + 0 17.641 * * [simplify]: Extracting #2: cost 936 inf + 840 17.652 * * [simplify]: Extracting #3: cost 911 inf + 13978 17.670 * * [simplify]: Extracting #4: cost 779 inf + 45771 17.730 * * [simplify]: Extracting #5: cost 430 inf + 174884 17.825 * * [simplify]: Extracting #6: cost 92 inf + 321734 17.954 * * [simplify]: Extracting #7: cost 14 inf + 354110 18.055 * * [simplify]: Extracting #8: cost 0 inf + 362240 18.212 * * [simplify]: Extracting #9: cost 0 inf + 362239 18.321 * [simplify]: Simplified to: (expm1 (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (log1p (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (log (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (log (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (log (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (log (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (exp (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (* (* (* (cos (/ K 2)) (- (* (hypot 1 (/ 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(cos (/ K 2)) (* -2 J))) (* (cbrt (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (cbrt (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))))) (cbrt (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (sqrt (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (sqrt (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (fma J -2 (* -1/4 (/ (* U U) J))) (- U) (- U) (fma J -2 (* -1/4 (/ (* U U) J))) (- U) (- U) (fma J -2 (* -1/4 (/ (* U U) J))) (- U) (- U) (fma (cbrt -2) (cbrt J) (* 1/24 (* (cbrt -2) (- (* (cbrt (/ 1 (pow J 5))) (* U U)) (* (cbrt J) (* K K)))))) (* (cbrt -2) (exp (* 1/3 (+ (log 1/2) (log U))))) (* (exp (* (- (log 1/2) (log (/ -1 U))) 1/3)) (cbrt 2)) 18.332 * * * [progress]: adding candidates to table 19.741 * * [progress]: iteration 4 / 4 19.741 * * * [progress]: picking best candidate 19.778 * * * * [pick]: Picked # 19.778 * * * [progress]: localizing error 19.875 * * * [progress]: generating rewritten candidates 19.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 19.915 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 19.952 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 20.011 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 20.043 * * * [progress]: generating series expansions 20.044 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 20.044 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 20.044 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 20.044 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 20.044 * [taylor]: Taking taylor expansion of -2 in K 20.044 * [backup-simplify]: Simplify -2 into -2 20.044 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 20.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.044 * [taylor]: Taking taylor expansion of 1/2 in K 20.044 * [backup-simplify]: Simplify 1/2 into 1/2 20.044 * [taylor]: Taking taylor expansion of K in K 20.044 * [backup-simplify]: Simplify 0 into 0 20.044 * [backup-simplify]: Simplify 1 into 1 20.045 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.045 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.045 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 20.045 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.046 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.046 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 20.046 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.046 * [taylor]: Taking taylor expansion of 1 in K 20.046 * [backup-simplify]: Simplify 1 into 1 20.046 * [taylor]: Taking taylor expansion of 1 in K 20.046 * [backup-simplify]: Simplify 1 into 1 20.046 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.046 * [taylor]: Taking taylor expansion of 1/2 in K 20.046 * [backup-simplify]: Simplify 1/2 into 1/2 20.046 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.046 * [taylor]: Taking taylor expansion of U in K 20.046 * [backup-simplify]: Simplify U into U 20.046 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.046 * [taylor]: Taking taylor expansion of 1/2 in K 20.046 * [backup-simplify]: Simplify 1/2 into 1/2 20.047 * [taylor]: Taking taylor expansion of K in K 20.047 * [backup-simplify]: Simplify 0 into 0 20.047 * [backup-simplify]: Simplify 1 into 1 20.047 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.047 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.047 * [taylor]: Taking taylor expansion of J in K 20.047 * [backup-simplify]: Simplify J into J 20.047 * [backup-simplify]: Simplify (* 1 J) into J 20.048 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.048 * [taylor]: Taking taylor expansion of 1/2 in K 20.048 * [backup-simplify]: Simplify 1/2 into 1/2 20.048 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.048 * [taylor]: Taking taylor expansion of U in K 20.048 * [backup-simplify]: Simplify U into U 20.048 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.048 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.048 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.048 * [taylor]: Taking taylor expansion of 1/2 in K 20.048 * [backup-simplify]: Simplify 1/2 into 1/2 20.048 * [taylor]: Taking taylor expansion of K in K 20.048 * [backup-simplify]: Simplify 0 into 0 20.048 * [backup-simplify]: Simplify 1 into 1 20.048 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.048 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.049 * [taylor]: Taking taylor expansion of J in K 20.049 * [backup-simplify]: Simplify J into J 20.049 * [backup-simplify]: Simplify (* 1 J) into J 20.049 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.049 * [backup-simplify]: Simplify (* 1 1) into 1 20.049 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.049 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.049 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 20.049 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 20.049 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 20.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.050 * [backup-simplify]: Simplify (+ 0) into 0 20.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.050 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.051 * [backup-simplify]: Simplify (+ 0) into 0 20.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.051 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.052 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 20.052 * [backup-simplify]: Simplify (+ 0 0) into 0 20.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 20.052 * [taylor]: Taking taylor expansion of J in K 20.052 * [backup-simplify]: Simplify J into J 20.052 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 20.052 * [taylor]: Taking taylor expansion of -2 in J 20.052 * [backup-simplify]: Simplify -2 into -2 20.052 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 20.052 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.052 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.052 * [taylor]: Taking taylor expansion of 1/2 in J 20.052 * [backup-simplify]: Simplify 1/2 into 1/2 20.052 * [taylor]: Taking taylor expansion of K in J 20.053 * [backup-simplify]: Simplify K into K 20.053 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.053 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.053 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.053 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 20.053 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.053 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.053 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 20.053 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.053 * [taylor]: Taking taylor expansion of 1 in J 20.053 * [backup-simplify]: Simplify 1 into 1 20.053 * [taylor]: Taking taylor expansion of 1 in J 20.053 * [backup-simplify]: Simplify 1 into 1 20.053 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.053 * [taylor]: Taking taylor expansion of 1/2 in J 20.053 * [backup-simplify]: Simplify 1/2 into 1/2 20.053 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.053 * [taylor]: Taking taylor expansion of U in J 20.053 * [backup-simplify]: Simplify U into U 20.053 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.053 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.053 * [taylor]: Taking taylor expansion of 1/2 in J 20.053 * [backup-simplify]: Simplify 1/2 into 1/2 20.053 * [taylor]: Taking taylor expansion of K in J 20.053 * [backup-simplify]: Simplify K into K 20.053 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.053 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.053 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.053 * [taylor]: Taking taylor expansion of J in J 20.053 * [backup-simplify]: Simplify 0 into 0 20.053 * [backup-simplify]: Simplify 1 into 1 20.053 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.053 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.054 * [backup-simplify]: Simplify (- 0) into 0 20.054 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.054 * [backup-simplify]: Simplify (+ 0) into 0 20.054 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.056 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.056 * [backup-simplify]: Simplify (- 0) into 0 20.056 * [backup-simplify]: Simplify (+ 0 0) into 0 20.056 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.056 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 20.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.056 * [taylor]: Taking taylor expansion of 1/2 in J 20.056 * [backup-simplify]: Simplify 1/2 into 1/2 20.056 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.057 * [taylor]: Taking taylor expansion of U in J 20.057 * [backup-simplify]: Simplify U into U 20.057 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.057 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.057 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.057 * [taylor]: Taking taylor expansion of 1/2 in J 20.057 * [backup-simplify]: Simplify 1/2 into 1/2 20.057 * [taylor]: Taking taylor expansion of K in J 20.057 * [backup-simplify]: Simplify K into K 20.057 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.057 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.057 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.057 * [taylor]: Taking taylor expansion of J in J 20.057 * [backup-simplify]: Simplify 0 into 0 20.057 * [backup-simplify]: Simplify 1 into 1 20.057 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.057 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.057 * [backup-simplify]: Simplify (- 0) into 0 20.057 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.057 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.058 * [backup-simplify]: Simplify (+ 0) into 0 20.058 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.061 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.061 * [backup-simplify]: Simplify (- 0) into 0 20.061 * [backup-simplify]: Simplify (+ 0 0) into 0 20.062 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.062 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 20.062 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.062 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.062 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 20.062 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 20.062 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.063 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.065 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.065 * [backup-simplify]: Simplify (- 0) into 0 20.065 * [backup-simplify]: Simplify (+ 0 0) into 0 20.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.066 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 20.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.067 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.068 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.069 * [backup-simplify]: Simplify (- 0) into 0 20.069 * [backup-simplify]: Simplify (+ 0 0) into 0 20.069 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.070 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 20.070 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 20.071 * [backup-simplify]: Simplify (+ 0 0) into 0 20.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 20.071 * [taylor]: Taking taylor expansion of J in J 20.071 * [backup-simplify]: Simplify 0 into 0 20.071 * [backup-simplify]: Simplify 1 into 1 20.071 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 20.071 * [taylor]: Taking taylor expansion of -2 in U 20.071 * [backup-simplify]: Simplify -2 into -2 20.071 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 20.071 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.071 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.071 * [taylor]: Taking taylor expansion of 1/2 in U 20.071 * [backup-simplify]: Simplify 1/2 into 1/2 20.071 * [taylor]: Taking taylor expansion of K in U 20.071 * [backup-simplify]: Simplify K into K 20.071 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.071 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.071 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.072 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 20.072 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.072 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 20.072 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.072 * [taylor]: Taking taylor expansion of 1 in U 20.072 * [backup-simplify]: Simplify 1 into 1 20.072 * [taylor]: Taking taylor expansion of 1 in U 20.072 * [backup-simplify]: Simplify 1 into 1 20.072 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.072 * [taylor]: Taking taylor expansion of 1/2 in U 20.072 * [backup-simplify]: Simplify 1/2 into 1/2 20.072 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.072 * [taylor]: Taking taylor expansion of U in U 20.072 * [backup-simplify]: Simplify 0 into 0 20.072 * [backup-simplify]: Simplify 1 into 1 20.072 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.072 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.072 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.072 * [taylor]: Taking taylor expansion of 1/2 in U 20.072 * [backup-simplify]: Simplify 1/2 into 1/2 20.072 * [taylor]: Taking taylor expansion of K in U 20.072 * [backup-simplify]: Simplify K into K 20.073 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.073 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.073 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.073 * [taylor]: Taking taylor expansion of J in U 20.073 * [backup-simplify]: Simplify J into J 20.073 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.073 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.073 * [backup-simplify]: Simplify (- 0) into 0 20.073 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.074 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.074 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.074 * [taylor]: Taking taylor expansion of 1/2 in U 20.074 * [backup-simplify]: Simplify 1/2 into 1/2 20.074 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.074 * [taylor]: Taking taylor expansion of U in U 20.074 * [backup-simplify]: Simplify 0 into 0 20.074 * [backup-simplify]: Simplify 1 into 1 20.074 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.074 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.074 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.074 * [taylor]: Taking taylor expansion of 1/2 in U 20.074 * [backup-simplify]: Simplify 1/2 into 1/2 20.074 * [taylor]: Taking taylor expansion of K in U 20.074 * [backup-simplify]: Simplify K into K 20.074 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.074 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.074 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.074 * [taylor]: Taking taylor expansion of J in U 20.074 * [backup-simplify]: Simplify J into J 20.074 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.074 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.075 * [backup-simplify]: Simplify (- 0) into 0 20.075 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.075 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.075 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.076 * [backup-simplify]: Simplify (* 1 1) into 1 20.076 * [backup-simplify]: Simplify (+ 1 0) into 1 20.076 * [backup-simplify]: Simplify (sqrt 1) into 1 20.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.077 * [backup-simplify]: Simplify (+ 0 0) into 0 20.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.078 * [taylor]: Taking taylor expansion of J in U 20.078 * [backup-simplify]: Simplify J into J 20.078 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 20.078 * [taylor]: Taking taylor expansion of -2 in U 20.078 * [backup-simplify]: Simplify -2 into -2 20.078 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 20.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.078 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.078 * [taylor]: Taking taylor expansion of 1/2 in U 20.078 * [backup-simplify]: Simplify 1/2 into 1/2 20.078 * [taylor]: Taking taylor expansion of K in U 20.078 * [backup-simplify]: Simplify K into K 20.078 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.079 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 20.079 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.079 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 20.079 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.079 * [taylor]: Taking taylor expansion of 1 in U 20.079 * [backup-simplify]: Simplify 1 into 1 20.079 * [taylor]: Taking taylor expansion of 1 in U 20.079 * [backup-simplify]: Simplify 1 into 1 20.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.079 * [taylor]: Taking taylor expansion of 1/2 in U 20.079 * [backup-simplify]: Simplify 1/2 into 1/2 20.079 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.079 * [taylor]: Taking taylor expansion of U in U 20.079 * [backup-simplify]: Simplify 0 into 0 20.079 * [backup-simplify]: Simplify 1 into 1 20.079 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.079 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.079 * [taylor]: Taking taylor expansion of 1/2 in U 20.079 * [backup-simplify]: Simplify 1/2 into 1/2 20.079 * [taylor]: Taking taylor expansion of K in U 20.079 * [backup-simplify]: Simplify K into K 20.079 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.080 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.080 * [taylor]: Taking taylor expansion of J in U 20.080 * [backup-simplify]: Simplify J into J 20.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.080 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.080 * [backup-simplify]: Simplify (- 0) into 0 20.080 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.081 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.081 * [taylor]: Taking taylor expansion of 1/2 in U 20.081 * [backup-simplify]: Simplify 1/2 into 1/2 20.081 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.081 * [taylor]: Taking taylor expansion of U in U 20.081 * [backup-simplify]: Simplify 0 into 0 20.081 * [backup-simplify]: Simplify 1 into 1 20.081 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.081 * [taylor]: Taking taylor expansion of 1/2 in U 20.081 * [backup-simplify]: Simplify 1/2 into 1/2 20.081 * [taylor]: Taking taylor expansion of K in U 20.081 * [backup-simplify]: Simplify K into K 20.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.081 * [taylor]: Taking taylor expansion of J in U 20.081 * [backup-simplify]: Simplify J into J 20.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.081 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.082 * [backup-simplify]: Simplify (- 0) into 0 20.082 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.082 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.082 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.082 * [backup-simplify]: Simplify (* 1 1) into 1 20.083 * [backup-simplify]: Simplify (+ 1 0) into 1 20.083 * [backup-simplify]: Simplify (sqrt 1) into 1 20.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.084 * [backup-simplify]: Simplify (+ 0 0) into 0 20.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.085 * [taylor]: Taking taylor expansion of J in U 20.085 * [backup-simplify]: Simplify J into J 20.085 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.085 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.086 * [backup-simplify]: Simplify (- 0) into 0 20.086 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.086 * [backup-simplify]: Simplify (* 1 J) into J 20.086 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.086 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 20.086 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 20.086 * [taylor]: Taking taylor expansion of -2 in J 20.086 * [backup-simplify]: Simplify -2 into -2 20.086 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.086 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.086 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.086 * [taylor]: Taking taylor expansion of 1/2 in J 20.086 * [backup-simplify]: Simplify 1/2 into 1/2 20.086 * [taylor]: Taking taylor expansion of K in J 20.086 * [backup-simplify]: Simplify K into K 20.086 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.086 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.086 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.086 * [taylor]: Taking taylor expansion of J in J 20.087 * [backup-simplify]: Simplify 0 into 0 20.087 * [backup-simplify]: Simplify 1 into 1 20.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.087 * [backup-simplify]: Simplify (+ 0) into 0 20.088 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.090 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.090 * [backup-simplify]: Simplify (- 0) into 0 20.090 * [backup-simplify]: Simplify (+ 0 0) into 0 20.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.091 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 20.091 * [taylor]: Taking taylor expansion of 0 in J 20.091 * [backup-simplify]: Simplify 0 into 0 20.091 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.091 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.091 * [backup-simplify]: Simplify (- 0) into 0 20.092 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.092 * [backup-simplify]: Simplify (* -2 0) into 0 20.092 * [taylor]: Taking taylor expansion of 0 in K 20.092 * [backup-simplify]: Simplify 0 into 0 20.092 * [backup-simplify]: Simplify 0 into 0 20.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 20.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 20.094 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 20.094 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 20.095 * [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))) 20.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 20.097 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.098 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.100 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.100 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.101 * [backup-simplify]: Simplify (- 0) into 0 20.101 * [backup-simplify]: Simplify (+ 0 0) into 0 20.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 20.103 * [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)))) 20.103 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 20.103 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 20.103 * [taylor]: Taking taylor expansion of 1/4 in J 20.103 * [backup-simplify]: Simplify 1/4 into 1/4 20.103 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 20.103 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.103 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.103 * [taylor]: Taking taylor expansion of 1/2 in J 20.103 * [backup-simplify]: Simplify 1/2 into 1/2 20.103 * [taylor]: Taking taylor expansion of K in J 20.103 * [backup-simplify]: Simplify K into K 20.103 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.103 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.103 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.103 * [taylor]: Taking taylor expansion of J in J 20.103 * [backup-simplify]: Simplify 0 into 0 20.103 * [backup-simplify]: Simplify 1 into 1 20.103 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.104 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.104 * [backup-simplify]: Simplify (- 0) into 0 20.104 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.104 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.105 * [backup-simplify]: Simplify (+ 0) into 0 20.105 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.107 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.107 * [backup-simplify]: Simplify (- 0) into 0 20.108 * [backup-simplify]: Simplify (+ 0 0) into 0 20.108 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.109 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 20.109 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 20.109 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 20.109 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 20.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 20.109 * [taylor]: Taking taylor expansion of 1/4 in K 20.109 * [backup-simplify]: Simplify 1/4 into 1/4 20.109 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 20.109 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.109 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.109 * [taylor]: Taking taylor expansion of 1/2 in K 20.109 * [backup-simplify]: Simplify 1/2 into 1/2 20.109 * [taylor]: Taking taylor expansion of K in K 20.109 * [backup-simplify]: Simplify 0 into 0 20.109 * [backup-simplify]: Simplify 1 into 1 20.110 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.110 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.111 * [backup-simplify]: Simplify (/ 1 1) into 1 20.112 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 20.112 * [backup-simplify]: Simplify (- 1/4) into -1/4 20.112 * [backup-simplify]: Simplify -1/4 into -1/4 20.112 * [taylor]: Taking taylor expansion of 0 in K 20.112 * [backup-simplify]: Simplify 0 into 0 20.112 * [backup-simplify]: Simplify 0 into 0 20.113 * [backup-simplify]: Simplify (+ 0) into 0 20.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.115 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.115 * [backup-simplify]: Simplify (- 0) into 0 20.116 * [backup-simplify]: Simplify (+ 0 0) into 0 20.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.117 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 20.117 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 20.117 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 20.117 * [taylor]: Taking taylor expansion of 2 in K 20.117 * [backup-simplify]: Simplify 2 into 2 20.117 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.117 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.117 * [taylor]: Taking taylor expansion of 1/2 in K 20.117 * [backup-simplify]: Simplify 1/2 into 1/2 20.117 * [taylor]: Taking taylor expansion of K in K 20.117 * [backup-simplify]: Simplify 0 into 0 20.117 * [backup-simplify]: Simplify 1 into 1 20.117 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.118 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.119 * [backup-simplify]: Simplify (* 2 1) into 2 20.119 * [backup-simplify]: Simplify (- 2) into -2 20.119 * [backup-simplify]: Simplify -2 into -2 20.119 * [backup-simplify]: Simplify 0 into 0 20.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.120 * [backup-simplify]: Simplify (+ 0) into 0 20.121 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.123 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.123 * [backup-simplify]: Simplify (- 0) into 0 20.124 * [backup-simplify]: Simplify (+ 0 0) into 0 20.124 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.124 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 20.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 20.125 * [backup-simplify]: Simplify (+ 0) into 0 20.125 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.126 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.127 * [backup-simplify]: Simplify (- 0) into 0 20.127 * [backup-simplify]: Simplify (+ 0 0) into 0 20.127 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.127 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 20.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 20.128 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 20.128 * [backup-simplify]: Simplify (+ 0 0) into 0 20.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 20.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 20.130 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 20.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.132 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.132 * [backup-simplify]: Simplify (- 0) into 0 20.133 * [backup-simplify]: Simplify (+ 0 0) into 0 20.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 20.134 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 20.134 * [taylor]: Taking taylor expansion of 0 in J 20.134 * [backup-simplify]: Simplify 0 into 0 20.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.135 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.136 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.136 * [backup-simplify]: Simplify (- 0) into 0 20.137 * [backup-simplify]: Simplify (+ 0 0) into 0 20.137 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 20.138 * [backup-simplify]: Simplify (- 0) into 0 20.138 * [taylor]: Taking taylor expansion of 0 in K 20.138 * [backup-simplify]: Simplify 0 into 0 20.138 * [backup-simplify]: Simplify 0 into 0 20.138 * [taylor]: Taking taylor expansion of 0 in K 20.138 * [backup-simplify]: Simplify 0 into 0 20.138 * [backup-simplify]: Simplify 0 into 0 20.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.139 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.140 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.140 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.140 * [backup-simplify]: Simplify (- 0) into 0 20.141 * [backup-simplify]: Simplify (+ 0 0) into 0 20.141 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.142 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 20.142 * [taylor]: Taking taylor expansion of 0 in K 20.142 * [backup-simplify]: Simplify 0 into 0 20.142 * [backup-simplify]: Simplify 0 into 0 20.142 * [backup-simplify]: Simplify (+ 0) into 0 20.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 20.143 * [backup-simplify]: Simplify (- 0) into 0 20.143 * [backup-simplify]: Simplify 0 into 0 20.143 * [backup-simplify]: Simplify 0 into 0 20.143 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 20.144 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 20.144 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 20.144 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 20.144 * [taylor]: Taking taylor expansion of -2 in K 20.144 * [backup-simplify]: Simplify -2 into -2 20.144 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 20.144 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 20.144 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 20.144 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.144 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 20.144 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.144 * [taylor]: Taking taylor expansion of 1 in K 20.144 * [backup-simplify]: Simplify 1 into 1 20.144 * [taylor]: Taking taylor expansion of 1 in K 20.144 * [backup-simplify]: Simplify 1 into 1 20.144 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 20.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 20.144 * [taylor]: Taking taylor expansion of 1/2 in K 20.144 * [backup-simplify]: Simplify 1/2 into 1/2 20.144 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 20.144 * [taylor]: Taking taylor expansion of J in K 20.144 * [backup-simplify]: Simplify J into J 20.144 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 20.144 * [taylor]: Taking taylor expansion of U in K 20.144 * [backup-simplify]: Simplify U into U 20.144 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.144 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.144 * [taylor]: Taking taylor expansion of 1/2 in K 20.144 * [backup-simplify]: Simplify 1/2 into 1/2 20.144 * [taylor]: Taking taylor expansion of K in K 20.144 * [backup-simplify]: Simplify 0 into 0 20.144 * [backup-simplify]: Simplify 1 into 1 20.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.144 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.144 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.145 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 20.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 20.145 * [taylor]: Taking taylor expansion of 1/2 in K 20.145 * [backup-simplify]: Simplify 1/2 into 1/2 20.145 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 20.145 * [taylor]: Taking taylor expansion of J in K 20.145 * [backup-simplify]: Simplify J into J 20.145 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 20.145 * [taylor]: Taking taylor expansion of U in K 20.145 * [backup-simplify]: Simplify U into U 20.145 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.145 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.145 * [taylor]: Taking taylor expansion of 1/2 in K 20.145 * [backup-simplify]: Simplify 1/2 into 1/2 20.145 * [taylor]: Taking taylor expansion of K in K 20.145 * [backup-simplify]: Simplify 0 into 0 20.145 * [backup-simplify]: Simplify 1 into 1 20.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.145 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.145 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.145 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 20.146 * [backup-simplify]: Simplify (* 1 1) into 1 20.146 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 20.146 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 20.146 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 20.146 * [backup-simplify]: Simplify (+ 1 (* 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) 20.146 * [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)) 20.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.147 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 20.147 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 20.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 20.147 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 20.148 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 20.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 20.148 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 20.148 * [backup-simplify]: Simplify (+ 0 0) into 0 20.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 20.149 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.149 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.149 * [taylor]: Taking taylor expansion of 1/2 in K 20.149 * [backup-simplify]: Simplify 1/2 into 1/2 20.149 * [taylor]: Taking taylor expansion of K in K 20.149 * [backup-simplify]: Simplify 0 into 0 20.149 * [backup-simplify]: Simplify 1 into 1 20.149 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.149 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.149 * [taylor]: Taking taylor expansion of J in K 20.149 * [backup-simplify]: Simplify J into J 20.149 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 20.150 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 20.150 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 20.150 * [taylor]: Taking taylor expansion of -2 in J 20.150 * [backup-simplify]: Simplify -2 into -2 20.150 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 20.150 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 20.150 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 20.150 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.150 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 20.150 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.150 * [taylor]: Taking taylor expansion of 1 in J 20.150 * [backup-simplify]: Simplify 1 into 1 20.150 * [taylor]: Taking taylor expansion of 1 in J 20.150 * [backup-simplify]: Simplify 1 into 1 20.150 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 20.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 20.150 * [taylor]: Taking taylor expansion of 1/2 in J 20.150 * [backup-simplify]: Simplify 1/2 into 1/2 20.150 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 20.150 * [taylor]: Taking taylor expansion of J in J 20.150 * [backup-simplify]: Simplify 0 into 0 20.150 * [backup-simplify]: Simplify 1 into 1 20.150 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 20.150 * [taylor]: Taking taylor expansion of U in J 20.150 * [backup-simplify]: Simplify U into U 20.150 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.150 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.150 * [taylor]: Taking taylor expansion of 1/2 in J 20.150 * [backup-simplify]: Simplify 1/2 into 1/2 20.150 * [taylor]: Taking taylor expansion of K in J 20.150 * [backup-simplify]: Simplify K into K 20.150 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.150 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.150 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.151 * [backup-simplify]: Simplify (- 0) into 0 20.151 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.151 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.151 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 20.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 20.151 * [taylor]: Taking taylor expansion of 1/2 in J 20.151 * [backup-simplify]: Simplify 1/2 into 1/2 20.151 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 20.151 * [taylor]: Taking taylor expansion of J in J 20.151 * [backup-simplify]: Simplify 0 into 0 20.151 * [backup-simplify]: Simplify 1 into 1 20.151 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 20.151 * [taylor]: Taking taylor expansion of U in J 20.151 * [backup-simplify]: Simplify U into U 20.151 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.151 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.151 * [taylor]: Taking taylor expansion of 1/2 in J 20.151 * [backup-simplify]: Simplify 1/2 into 1/2 20.151 * [taylor]: Taking taylor expansion of K in J 20.151 * [backup-simplify]: Simplify K into K 20.151 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.151 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.151 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.151 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.151 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.152 * [backup-simplify]: Simplify (- 0) into 0 20.152 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.152 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.152 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 20.152 * [backup-simplify]: Simplify (* 1 1) into 1 20.152 * [backup-simplify]: Simplify (+ 1 0) into 1 20.153 * [backup-simplify]: Simplify (sqrt 1) into 1 20.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.153 * [backup-simplify]: Simplify (+ 0 0) into 0 20.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.154 * [taylor]: Taking taylor expansion of 1/2 in J 20.154 * [backup-simplify]: Simplify 1/2 into 1/2 20.154 * [taylor]: Taking taylor expansion of K in J 20.154 * [backup-simplify]: Simplify K into K 20.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.155 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.155 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.155 * [taylor]: Taking taylor expansion of J in J 20.155 * [backup-simplify]: Simplify 0 into 0 20.155 * [backup-simplify]: Simplify 1 into 1 20.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.155 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.155 * [backup-simplify]: Simplify (- 0) into 0 20.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.156 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 20.156 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.156 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 20.156 * [taylor]: Taking taylor expansion of -2 in U 20.156 * [backup-simplify]: Simplify -2 into -2 20.156 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 20.156 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 20.156 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.156 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.156 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 20.156 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.156 * [taylor]: Taking taylor expansion of 1 in U 20.156 * [backup-simplify]: Simplify 1 into 1 20.156 * [taylor]: Taking taylor expansion of 1 in U 20.156 * [backup-simplify]: Simplify 1 into 1 20.156 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.156 * [taylor]: Taking taylor expansion of 1/2 in U 20.156 * [backup-simplify]: Simplify 1/2 into 1/2 20.156 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.156 * [taylor]: Taking taylor expansion of J in U 20.156 * [backup-simplify]: Simplify J into J 20.156 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.156 * [taylor]: Taking taylor expansion of U in U 20.156 * [backup-simplify]: Simplify 0 into 0 20.156 * [backup-simplify]: Simplify 1 into 1 20.156 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.156 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.156 * [taylor]: Taking taylor expansion of 1/2 in U 20.157 * [backup-simplify]: Simplify 1/2 into 1/2 20.157 * [taylor]: Taking taylor expansion of K in U 20.157 * [backup-simplify]: Simplify K into K 20.157 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.157 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.157 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.157 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.157 * [backup-simplify]: Simplify (- 0) into 0 20.158 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.158 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.158 * [backup-simplify]: Simplify (+ 0) into 0 20.159 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.160 * [backup-simplify]: Simplify (- 0) into 0 20.161 * [backup-simplify]: Simplify (+ 0 0) into 0 20.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.161 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.161 * [taylor]: Taking taylor expansion of 1/2 in U 20.161 * [backup-simplify]: Simplify 1/2 into 1/2 20.161 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.162 * [taylor]: Taking taylor expansion of J in U 20.162 * [backup-simplify]: Simplify J into J 20.162 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.162 * [taylor]: Taking taylor expansion of U in U 20.162 * [backup-simplify]: Simplify 0 into 0 20.162 * [backup-simplify]: Simplify 1 into 1 20.162 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.162 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.162 * [taylor]: Taking taylor expansion of 1/2 in U 20.162 * [backup-simplify]: Simplify 1/2 into 1/2 20.162 * [taylor]: Taking taylor expansion of K in U 20.162 * [backup-simplify]: Simplify K into K 20.162 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.162 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.162 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.162 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.162 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.163 * [backup-simplify]: Simplify (- 0) into 0 20.163 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.163 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.163 * [backup-simplify]: Simplify (+ 0) into 0 20.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.166 * [backup-simplify]: Simplify (- 0) into 0 20.166 * [backup-simplify]: Simplify (+ 0 0) into 0 20.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.166 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.167 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.167 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.167 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 20.167 * [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))) 20.167 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.172 * [backup-simplify]: Simplify (- 0) into 0 20.172 * [backup-simplify]: Simplify (+ 0 0) into 0 20.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.173 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.177 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.178 * [backup-simplify]: Simplify (- 0) into 0 20.178 * [backup-simplify]: Simplify (+ 0 0) into 0 20.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.179 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.180 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.180 * [backup-simplify]: Simplify (+ 0 0) into 0 20.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 20.180 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.181 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.181 * [taylor]: Taking taylor expansion of 1/2 in U 20.181 * [backup-simplify]: Simplify 1/2 into 1/2 20.181 * [taylor]: Taking taylor expansion of K in U 20.181 * [backup-simplify]: Simplify K into K 20.181 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.181 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.181 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.181 * [taylor]: Taking taylor expansion of J in U 20.181 * [backup-simplify]: Simplify J into J 20.181 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.181 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.181 * [backup-simplify]: Simplify (- 0) into 0 20.182 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.182 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 20.182 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.182 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 20.182 * [taylor]: Taking taylor expansion of -2 in U 20.182 * [backup-simplify]: Simplify -2 into -2 20.182 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 20.182 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 20.182 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.182 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.182 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 20.182 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.182 * [taylor]: Taking taylor expansion of 1 in U 20.182 * [backup-simplify]: Simplify 1 into 1 20.182 * [taylor]: Taking taylor expansion of 1 in U 20.182 * [backup-simplify]: Simplify 1 into 1 20.182 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.182 * [taylor]: Taking taylor expansion of 1/2 in U 20.182 * [backup-simplify]: Simplify 1/2 into 1/2 20.182 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.182 * [taylor]: Taking taylor expansion of J in U 20.183 * [backup-simplify]: Simplify J into J 20.183 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.183 * [taylor]: Taking taylor expansion of U in U 20.183 * [backup-simplify]: Simplify 0 into 0 20.183 * [backup-simplify]: Simplify 1 into 1 20.183 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.183 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.183 * [taylor]: Taking taylor expansion of 1/2 in U 20.183 * [backup-simplify]: Simplify 1/2 into 1/2 20.183 * [taylor]: Taking taylor expansion of K in U 20.183 * [backup-simplify]: Simplify K into K 20.183 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.183 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.183 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.183 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.183 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.184 * [backup-simplify]: Simplify (- 0) into 0 20.184 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.184 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.184 * [backup-simplify]: Simplify (+ 0) into 0 20.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.190 * [backup-simplify]: Simplify (- 0) into 0 20.191 * [backup-simplify]: Simplify (+ 0 0) into 0 20.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.191 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.191 * [taylor]: Taking taylor expansion of 1/2 in U 20.191 * [backup-simplify]: Simplify 1/2 into 1/2 20.191 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.192 * [taylor]: Taking taylor expansion of J in U 20.192 * [backup-simplify]: Simplify J into J 20.192 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.192 * [taylor]: Taking taylor expansion of U in U 20.192 * [backup-simplify]: Simplify 0 into 0 20.192 * [backup-simplify]: Simplify 1 into 1 20.192 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.192 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.192 * [taylor]: Taking taylor expansion of 1/2 in U 20.192 * [backup-simplify]: Simplify 1/2 into 1/2 20.192 * [taylor]: Taking taylor expansion of K in U 20.192 * [backup-simplify]: Simplify K into K 20.192 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.192 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.192 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.192 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.193 * [backup-simplify]: Simplify (- 0) into 0 20.193 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.193 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.193 * [backup-simplify]: Simplify (+ 0) into 0 20.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.195 * [backup-simplify]: Simplify (- 0) into 0 20.196 * [backup-simplify]: Simplify (+ 0 0) into 0 20.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.196 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.197 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.197 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.197 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 20.197 * [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))) 20.198 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.199 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.201 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.201 * [backup-simplify]: Simplify (- 0) into 0 20.201 * [backup-simplify]: Simplify (+ 0 0) into 0 20.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.202 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.205 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.206 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.206 * [backup-simplify]: Simplify (- 0) into 0 20.207 * [backup-simplify]: Simplify (+ 0 0) into 0 20.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.208 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.209 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.209 * [backup-simplify]: Simplify (+ 0 0) into 0 20.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 20.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.209 * [taylor]: Taking taylor expansion of 1/2 in U 20.209 * [backup-simplify]: Simplify 1/2 into 1/2 20.209 * [taylor]: Taking taylor expansion of K in U 20.209 * [backup-simplify]: Simplify K into K 20.209 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.210 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.210 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.210 * [taylor]: Taking taylor expansion of J in U 20.210 * [backup-simplify]: Simplify J into J 20.210 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.210 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.210 * [backup-simplify]: Simplify (- 0) into 0 20.210 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.210 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 20.211 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.211 * [backup-simplify]: Simplify (* -2 1/2) into -1 20.211 * [taylor]: Taking taylor expansion of -1 in J 20.211 * [backup-simplify]: Simplify -1 into -1 20.211 * [backup-simplify]: Simplify (+ 0) into 0 20.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.213 * [backup-simplify]: Simplify (- 0) into 0 20.214 * [backup-simplify]: Simplify (+ 0 0) into 0 20.214 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 20.214 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 20.214 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 20.214 * [taylor]: Taking taylor expansion of 0 in J 20.214 * [backup-simplify]: Simplify 0 into 0 20.214 * [taylor]: Taking taylor expansion of -1 in K 20.214 * [backup-simplify]: Simplify -1 into -1 20.214 * [backup-simplify]: Simplify -1 into -1 20.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.217 * [backup-simplify]: Simplify (- 0) into 0 20.217 * [backup-simplify]: Simplify (+ 0 0) into 0 20.217 * [backup-simplify]: Simplify (* 1 1) into 1 20.218 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.220 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.220 * [backup-simplify]: Simplify (- 0) into 0 20.220 * [backup-simplify]: Simplify (+ 0 0) into 0 20.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.221 * [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 20.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 20.222 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.224 * [backup-simplify]: Simplify (- 0) into 0 20.224 * [backup-simplify]: Simplify (+ 0 0) into 0 20.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.225 * [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 20.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 20.226 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 20.227 * [backup-simplify]: Simplify (+ 1 0) into 1 20.227 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 20.228 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 20.228 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 20.228 * [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)))) 20.228 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 20.228 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 20.228 * [taylor]: Taking taylor expansion of 2 in J 20.228 * [backup-simplify]: Simplify 2 into 2 20.228 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 20.228 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 20.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.228 * [taylor]: Taking taylor expansion of 1/2 in J 20.228 * [backup-simplify]: Simplify 1/2 into 1/2 20.228 * [taylor]: Taking taylor expansion of K in J 20.228 * [backup-simplify]: Simplify K into K 20.229 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.229 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.229 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.229 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.229 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.229 * [backup-simplify]: Simplify (- 0) into 0 20.229 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.229 * [taylor]: Taking taylor expansion of (pow J 2) in J 20.229 * [taylor]: Taking taylor expansion of J in J 20.229 * [backup-simplify]: Simplify 0 into 0 20.229 * [backup-simplify]: Simplify 1 into 1 20.229 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 20.229 * [backup-simplify]: Simplify (* 1 1) into 1 20.230 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 20.230 * [backup-simplify]: Simplify (+ 0) into 0 20.230 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.231 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.231 * [backup-simplify]: Simplify (- 0) into 0 20.231 * [backup-simplify]: Simplify (+ 0 0) into 0 20.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 20.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 20.233 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 20.233 * [backup-simplify]: Simplify (- 0) into 0 20.233 * [taylor]: Taking taylor expansion of 0 in K 20.233 * [backup-simplify]: Simplify 0 into 0 20.233 * [backup-simplify]: Simplify 0 into 0 20.233 * [taylor]: Taking taylor expansion of 0 in K 20.233 * [backup-simplify]: Simplify 0 into 0 20.233 * [backup-simplify]: Simplify 0 into 0 20.233 * [taylor]: Taking taylor expansion of 0 in K 20.233 * [backup-simplify]: Simplify 0 into 0 20.233 * [backup-simplify]: Simplify 0 into 0 20.233 * [backup-simplify]: Simplify 0 into 0 20.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.236 * [backup-simplify]: Simplify (- 0) into 0 20.236 * [backup-simplify]: Simplify (+ 0 0) into 0 20.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.238 * [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 20.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.240 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.240 * [backup-simplify]: Simplify (- 0) into 0 20.241 * [backup-simplify]: Simplify (+ 0 0) into 0 20.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 20.243 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 20.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 20.248 * [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 20.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.251 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.252 * [backup-simplify]: Simplify (- 0) into 0 20.252 * [backup-simplify]: Simplify (+ 0 0) into 0 20.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 20.255 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 20.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 20.257 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 20.257 * [backup-simplify]: Simplify (+ 0 0) into 0 20.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.258 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.259 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 20.260 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 20.260 * [taylor]: Taking taylor expansion of 0 in J 20.260 * [backup-simplify]: Simplify 0 into 0 20.261 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.262 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.262 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.263 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.263 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.264 * [backup-simplify]: Simplify (- 0) into 0 20.264 * [backup-simplify]: Simplify (+ 0 0) into 0 20.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 20.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 20.269 * [backup-simplify]: Simplify (- 0) into 0 20.269 * [taylor]: Taking taylor expansion of 0 in K 20.269 * [backup-simplify]: Simplify 0 into 0 20.269 * [backup-simplify]: Simplify 0 into 0 20.269 * [taylor]: Taking taylor expansion of 0 in K 20.269 * [backup-simplify]: Simplify 0 into 0 20.269 * [backup-simplify]: Simplify 0 into 0 20.269 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 20.269 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 20.269 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 20.270 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 20.270 * [taylor]: Taking taylor expansion of 2 in K 20.270 * [backup-simplify]: Simplify 2 into 2 20.270 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 20.270 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 20.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.270 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.270 * [taylor]: Taking taylor expansion of -1/2 in K 20.270 * [backup-simplify]: Simplify -1/2 into -1/2 20.270 * [taylor]: Taking taylor expansion of K in K 20.270 * [backup-simplify]: Simplify 0 into 0 20.270 * [backup-simplify]: Simplify 1 into 1 20.270 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.271 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 20.271 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.271 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 20.271 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.271 * [taylor]: Taking taylor expansion of 1 in K 20.271 * [backup-simplify]: Simplify 1 into 1 20.271 * [taylor]: Taking taylor expansion of 1 in K 20.271 * [backup-simplify]: Simplify 1 into 1 20.271 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 20.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 20.271 * [taylor]: Taking taylor expansion of 1/2 in K 20.271 * [backup-simplify]: Simplify 1/2 into 1/2 20.271 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 20.271 * [taylor]: Taking taylor expansion of J in K 20.271 * [backup-simplify]: Simplify J into J 20.271 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 20.271 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.271 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.271 * [taylor]: Taking taylor expansion of -1/2 in K 20.271 * [backup-simplify]: Simplify -1/2 into -1/2 20.271 * [taylor]: Taking taylor expansion of K in K 20.271 * [backup-simplify]: Simplify 0 into 0 20.271 * [backup-simplify]: Simplify 1 into 1 20.272 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.272 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.272 * [taylor]: Taking taylor expansion of U in K 20.272 * [backup-simplify]: Simplify U into U 20.272 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.272 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 20.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 20.272 * [taylor]: Taking taylor expansion of 1/2 in K 20.272 * [backup-simplify]: Simplify 1/2 into 1/2 20.272 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 20.272 * [taylor]: Taking taylor expansion of J in K 20.272 * [backup-simplify]: Simplify J into J 20.272 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 20.272 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.272 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.272 * [taylor]: Taking taylor expansion of -1/2 in K 20.272 * [backup-simplify]: Simplify -1/2 into -1/2 20.272 * [taylor]: Taking taylor expansion of K in K 20.273 * [backup-simplify]: Simplify 0 into 0 20.273 * [backup-simplify]: Simplify 1 into 1 20.273 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.273 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.273 * [taylor]: Taking taylor expansion of U in K 20.273 * [backup-simplify]: Simplify U into U 20.274 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.274 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 20.274 * [backup-simplify]: Simplify (* 1 1) into 1 20.274 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 20.274 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 20.275 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 20.275 * [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))))) 20.276 * [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)))))) 20.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 20.277 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 20.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 20.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 20.278 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 20.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 20.278 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 20.278 * [backup-simplify]: Simplify (+ 0 0) into 0 20.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 20.279 * [taylor]: Taking taylor expansion of J in K 20.279 * [backup-simplify]: Simplify J into J 20.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 20.279 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 20.279 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 20.279 * [taylor]: Taking taylor expansion of 2 in J 20.279 * [backup-simplify]: Simplify 2 into 2 20.279 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 20.279 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 20.279 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.279 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.279 * [taylor]: Taking taylor expansion of -1/2 in J 20.279 * [backup-simplify]: Simplify -1/2 into -1/2 20.279 * [taylor]: Taking taylor expansion of K in J 20.279 * [backup-simplify]: Simplify K into K 20.279 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.280 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.280 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.280 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 20.280 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.280 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 20.280 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.280 * [taylor]: Taking taylor expansion of 1 in J 20.280 * [backup-simplify]: Simplify 1 into 1 20.280 * [taylor]: Taking taylor expansion of 1 in J 20.280 * [backup-simplify]: Simplify 1 into 1 20.280 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 20.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 20.280 * [taylor]: Taking taylor expansion of 1/2 in J 20.280 * [backup-simplify]: Simplify 1/2 into 1/2 20.280 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 20.280 * [taylor]: Taking taylor expansion of J in J 20.280 * [backup-simplify]: Simplify 0 into 0 20.280 * [backup-simplify]: Simplify 1 into 1 20.280 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 20.280 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.280 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.280 * [taylor]: Taking taylor expansion of -1/2 in J 20.280 * [backup-simplify]: Simplify -1/2 into -1/2 20.280 * [taylor]: Taking taylor expansion of K in J 20.280 * [backup-simplify]: Simplify K into K 20.280 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.280 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.280 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.280 * [taylor]: Taking taylor expansion of U in J 20.280 * [backup-simplify]: Simplify U into U 20.280 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.280 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.281 * [backup-simplify]: Simplify (- 0) into 0 20.281 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.281 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 20.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 20.281 * [taylor]: Taking taylor expansion of 1/2 in J 20.281 * [backup-simplify]: Simplify 1/2 into 1/2 20.281 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 20.281 * [taylor]: Taking taylor expansion of J in J 20.281 * [backup-simplify]: Simplify 0 into 0 20.281 * [backup-simplify]: Simplify 1 into 1 20.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 20.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.281 * [taylor]: Taking taylor expansion of -1/2 in J 20.281 * [backup-simplify]: Simplify -1/2 into -1/2 20.281 * [taylor]: Taking taylor expansion of K in J 20.281 * [backup-simplify]: Simplify K into K 20.281 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.281 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.281 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.281 * [taylor]: Taking taylor expansion of U in J 20.281 * [backup-simplify]: Simplify U into U 20.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.281 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.281 * [backup-simplify]: Simplify (- 0) into 0 20.282 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.282 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 20.282 * [backup-simplify]: Simplify (* 1 1) into 1 20.282 * [backup-simplify]: Simplify (+ 1 0) into 1 20.282 * [backup-simplify]: Simplify (sqrt 1) into 1 20.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.283 * [backup-simplify]: Simplify (+ 0 0) into 0 20.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.284 * [taylor]: Taking taylor expansion of J in J 20.284 * [backup-simplify]: Simplify 0 into 0 20.284 * [backup-simplify]: Simplify 1 into 1 20.284 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.284 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.284 * [backup-simplify]: Simplify (- 0) into 0 20.284 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.284 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.284 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.284 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 20.284 * [taylor]: Taking taylor expansion of 2 in U 20.284 * [backup-simplify]: Simplify 2 into 2 20.284 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 20.284 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.284 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.284 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.284 * [taylor]: Taking taylor expansion of -1/2 in U 20.284 * [backup-simplify]: Simplify -1/2 into -1/2 20.284 * [taylor]: Taking taylor expansion of K in U 20.284 * [backup-simplify]: Simplify K into K 20.284 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.284 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.284 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.284 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.284 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.284 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.284 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.285 * [taylor]: Taking taylor expansion of 1 in U 20.285 * [backup-simplify]: Simplify 1 into 1 20.285 * [taylor]: Taking taylor expansion of 1 in U 20.285 * [backup-simplify]: Simplify 1 into 1 20.285 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.285 * [taylor]: Taking taylor expansion of 1/2 in U 20.285 * [backup-simplify]: Simplify 1/2 into 1/2 20.285 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.285 * [taylor]: Taking taylor expansion of J in U 20.285 * [backup-simplify]: Simplify J into J 20.285 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.285 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.285 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.285 * [taylor]: Taking taylor expansion of -1/2 in U 20.285 * [backup-simplify]: Simplify -1/2 into -1/2 20.285 * [taylor]: Taking taylor expansion of K in U 20.285 * [backup-simplify]: Simplify K into K 20.285 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.285 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.285 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.285 * [taylor]: Taking taylor expansion of U in U 20.285 * [backup-simplify]: Simplify 0 into 0 20.285 * [backup-simplify]: Simplify 1 into 1 20.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.285 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.285 * [backup-simplify]: Simplify (- 0) into 0 20.285 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.286 * [backup-simplify]: Simplify (+ 0) into 0 20.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.286 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.287 * [backup-simplify]: Simplify (- 0) into 0 20.287 * [backup-simplify]: Simplify (+ 0 0) into 0 20.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.288 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.288 * [taylor]: Taking taylor expansion of 1/2 in U 20.288 * [backup-simplify]: Simplify 1/2 into 1/2 20.288 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.288 * [taylor]: Taking taylor expansion of J in U 20.288 * [backup-simplify]: Simplify J into J 20.288 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.288 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.288 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.288 * [taylor]: Taking taylor expansion of -1/2 in U 20.288 * [backup-simplify]: Simplify -1/2 into -1/2 20.288 * [taylor]: Taking taylor expansion of K in U 20.288 * [backup-simplify]: Simplify K into K 20.288 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.288 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.288 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.288 * [taylor]: Taking taylor expansion of U in U 20.288 * [backup-simplify]: Simplify 0 into 0 20.288 * [backup-simplify]: Simplify 1 into 1 20.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.288 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.288 * [backup-simplify]: Simplify (- 0) into 0 20.288 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.289 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.289 * [backup-simplify]: Simplify (+ 0) into 0 20.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.290 * [backup-simplify]: Simplify (- 0) into 0 20.290 * [backup-simplify]: Simplify (+ 0 0) into 0 20.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.291 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.291 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.291 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.291 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 20.291 * [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))) 20.291 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.293 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.293 * [backup-simplify]: Simplify (- 0) into 0 20.294 * [backup-simplify]: Simplify (+ 0 0) into 0 20.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.294 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.296 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.297 * [backup-simplify]: Simplify (- 0) into 0 20.297 * [backup-simplify]: Simplify (+ 0 0) into 0 20.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.298 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.298 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.298 * [backup-simplify]: Simplify (+ 0 0) into 0 20.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 20.299 * [taylor]: Taking taylor expansion of J in U 20.299 * [backup-simplify]: Simplify J into J 20.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.299 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.299 * [backup-simplify]: Simplify (- 0) into 0 20.299 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 20.299 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.299 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 20.299 * [taylor]: Taking taylor expansion of 2 in U 20.299 * [backup-simplify]: Simplify 2 into 2 20.299 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 20.299 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.299 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.299 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.299 * [taylor]: Taking taylor expansion of -1/2 in U 20.299 * [backup-simplify]: Simplify -1/2 into -1/2 20.299 * [taylor]: Taking taylor expansion of K in U 20.299 * [backup-simplify]: Simplify K into K 20.299 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.299 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.299 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.300 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.300 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.300 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.300 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.300 * [taylor]: Taking taylor expansion of 1 in U 20.300 * [backup-simplify]: Simplify 1 into 1 20.300 * [taylor]: Taking taylor expansion of 1 in U 20.300 * [backup-simplify]: Simplify 1 into 1 20.300 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.300 * [taylor]: Taking taylor expansion of 1/2 in U 20.300 * [backup-simplify]: Simplify 1/2 into 1/2 20.300 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.300 * [taylor]: Taking taylor expansion of J in U 20.300 * [backup-simplify]: Simplify J into J 20.300 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.300 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.300 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.300 * [taylor]: Taking taylor expansion of -1/2 in U 20.300 * [backup-simplify]: Simplify -1/2 into -1/2 20.300 * [taylor]: Taking taylor expansion of K in U 20.300 * [backup-simplify]: Simplify K into K 20.300 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.300 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.300 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.300 * [taylor]: Taking taylor expansion of U in U 20.300 * [backup-simplify]: Simplify 0 into 0 20.300 * [backup-simplify]: Simplify 1 into 1 20.300 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.300 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.300 * [backup-simplify]: Simplify (- 0) into 0 20.300 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.301 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.301 * [backup-simplify]: Simplify (+ 0) into 0 20.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.307 * [backup-simplify]: Simplify (- 0) into 0 20.308 * [backup-simplify]: Simplify (+ 0 0) into 0 20.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.309 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.309 * [taylor]: Taking taylor expansion of 1/2 in U 20.309 * [backup-simplify]: Simplify 1/2 into 1/2 20.309 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.309 * [taylor]: Taking taylor expansion of J in U 20.309 * [backup-simplify]: Simplify J into J 20.309 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.309 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.309 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.309 * [taylor]: Taking taylor expansion of -1/2 in U 20.309 * [backup-simplify]: Simplify -1/2 into -1/2 20.309 * [taylor]: Taking taylor expansion of K in U 20.309 * [backup-simplify]: Simplify K into K 20.309 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.309 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.309 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.309 * [taylor]: Taking taylor expansion of U in U 20.309 * [backup-simplify]: Simplify 0 into 0 20.309 * [backup-simplify]: Simplify 1 into 1 20.309 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.310 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.310 * [backup-simplify]: Simplify (- 0) into 0 20.310 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.310 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.310 * [backup-simplify]: Simplify (+ 0) into 0 20.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.313 * [backup-simplify]: Simplify (- 0) into 0 20.313 * [backup-simplify]: Simplify (+ 0 0) into 0 20.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.314 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.314 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.314 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.314 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 20.314 * [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))) 20.314 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.316 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.318 * [backup-simplify]: Simplify (- 0) into 0 20.318 * [backup-simplify]: Simplify (+ 0 0) into 0 20.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.318 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.320 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.321 * [backup-simplify]: Simplify (- 0) into 0 20.321 * [backup-simplify]: Simplify (+ 0 0) into 0 20.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.322 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.322 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.323 * [backup-simplify]: Simplify (+ 0 0) into 0 20.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 20.323 * [taylor]: Taking taylor expansion of J in U 20.323 * [backup-simplify]: Simplify J into J 20.323 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.323 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.323 * [backup-simplify]: Simplify (- 0) into 0 20.323 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.323 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 20.323 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.324 * [backup-simplify]: Simplify (* 2 1/2) into 1 20.324 * [taylor]: Taking taylor expansion of 1 in J 20.324 * [backup-simplify]: Simplify 1 into 1 20.324 * [backup-simplify]: Simplify (+ 0) into 0 20.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.325 * [backup-simplify]: Simplify (- 0) into 0 20.326 * [backup-simplify]: Simplify (+ 0 0) into 0 20.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.326 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 20.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 20.326 * [taylor]: Taking taylor expansion of 0 in J 20.326 * [backup-simplify]: Simplify 0 into 0 20.326 * [taylor]: Taking taylor expansion of 1 in K 20.326 * [backup-simplify]: Simplify 1 into 1 20.326 * [backup-simplify]: Simplify 1 into 1 20.327 * [backup-simplify]: Simplify (* 1 1) into 1 20.327 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.330 * [backup-simplify]: Simplify (- 0) into 0 20.330 * [backup-simplify]: Simplify (+ 0 0) into 0 20.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.330 * [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 20.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 20.332 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.333 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.334 * [backup-simplify]: Simplify (- 0) into 0 20.334 * [backup-simplify]: Simplify (+ 0 0) into 0 20.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.335 * [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 20.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 20.336 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 20.336 * [backup-simplify]: Simplify (+ 1 0) into 1 20.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 20.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.339 * [backup-simplify]: Simplify (- 0) into 0 20.339 * [backup-simplify]: Simplify (+ 0 0) into 0 20.340 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 20.340 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 20.340 * [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))) 20.340 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 20.340 * [taylor]: Taking taylor expansion of 2 in J 20.341 * [backup-simplify]: Simplify 2 into 2 20.341 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 20.341 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 20.341 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.341 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.341 * [taylor]: Taking taylor expansion of -1/2 in J 20.341 * [backup-simplify]: Simplify -1/2 into -1/2 20.341 * [taylor]: Taking taylor expansion of K in J 20.341 * [backup-simplify]: Simplify K into K 20.341 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.341 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.341 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.341 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.341 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.341 * [backup-simplify]: Simplify (- 0) into 0 20.341 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.341 * [taylor]: Taking taylor expansion of (pow J 2) in J 20.341 * [taylor]: Taking taylor expansion of J in J 20.341 * [backup-simplify]: Simplify 0 into 0 20.341 * [backup-simplify]: Simplify 1 into 1 20.341 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 20.342 * [backup-simplify]: Simplify (* 1 1) into 1 20.342 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 20.342 * [backup-simplify]: Simplify (+ 0) into 0 20.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.342 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.343 * [backup-simplify]: Simplify (- 0) into 0 20.344 * [backup-simplify]: Simplify (+ 0 0) into 0 20.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 20.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 20.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 20.345 * [taylor]: Taking taylor expansion of 0 in K 20.345 * [backup-simplify]: Simplify 0 into 0 20.345 * [backup-simplify]: Simplify 0 into 0 20.345 * [taylor]: Taking taylor expansion of 0 in K 20.345 * [backup-simplify]: Simplify 0 into 0 20.345 * [backup-simplify]: Simplify 0 into 0 20.345 * [taylor]: Taking taylor expansion of 0 in K 20.345 * [backup-simplify]: Simplify 0 into 0 20.345 * [backup-simplify]: Simplify 0 into 0 20.345 * [backup-simplify]: Simplify 0 into 0 20.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.348 * [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 20.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.352 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.353 * [backup-simplify]: Simplify (- 0) into 0 20.353 * [backup-simplify]: Simplify (+ 0 0) into 0 20.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.354 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 20.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 20.358 * [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 20.359 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.360 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.361 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.363 * [backup-simplify]: Simplify (- 0) into 0 20.363 * [backup-simplify]: Simplify (+ 0 0) into 0 20.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.365 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 20.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 20.367 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 20.367 * [backup-simplify]: Simplify (+ 0 0) into 0 20.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.369 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.370 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.370 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.373 * [backup-simplify]: Simplify (- 0) into 0 20.373 * [backup-simplify]: Simplify (+ 0 0) into 0 20.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 20.374 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 20.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 20.375 * [taylor]: Taking taylor expansion of 0 in J 20.375 * [backup-simplify]: Simplify 0 into 0 20.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.377 * [backup-simplify]: Simplify (- 0) into 0 20.377 * [backup-simplify]: Simplify (+ 0 0) into 0 20.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 20.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 20.379 * [taylor]: Taking taylor expansion of 0 in K 20.379 * [backup-simplify]: Simplify 0 into 0 20.379 * [backup-simplify]: Simplify 0 into 0 20.379 * [taylor]: Taking taylor expansion of 0 in K 20.379 * [backup-simplify]: Simplify 0 into 0 20.379 * [backup-simplify]: Simplify 0 into 0 20.379 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 20.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 20.380 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 20.380 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 20.380 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 20.380 * [taylor]: Taking taylor expansion of -2 in K 20.380 * [backup-simplify]: Simplify -2 into -2 20.380 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 20.380 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.380 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.380 * [taylor]: Taking taylor expansion of 1/2 in K 20.380 * [backup-simplify]: Simplify 1/2 into 1/2 20.380 * [taylor]: Taking taylor expansion of K in K 20.380 * [backup-simplify]: Simplify 0 into 0 20.380 * [backup-simplify]: Simplify 1 into 1 20.380 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.381 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.381 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 20.381 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.381 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.381 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 20.381 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.381 * [taylor]: Taking taylor expansion of 1 in K 20.381 * [backup-simplify]: Simplify 1 into 1 20.381 * [taylor]: Taking taylor expansion of 1 in K 20.381 * [backup-simplify]: Simplify 1 into 1 20.381 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.381 * [taylor]: Taking taylor expansion of 1/2 in K 20.381 * [backup-simplify]: Simplify 1/2 into 1/2 20.381 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.381 * [taylor]: Taking taylor expansion of U in K 20.381 * [backup-simplify]: Simplify U into U 20.381 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.381 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.381 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.381 * [taylor]: Taking taylor expansion of 1/2 in K 20.381 * [backup-simplify]: Simplify 1/2 into 1/2 20.381 * [taylor]: Taking taylor expansion of K in K 20.381 * [backup-simplify]: Simplify 0 into 0 20.381 * [backup-simplify]: Simplify 1 into 1 20.381 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.382 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.382 * [taylor]: Taking taylor expansion of J in K 20.382 * [backup-simplify]: Simplify J into J 20.382 * [backup-simplify]: Simplify (* 1 J) into J 20.382 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.382 * [taylor]: Taking taylor expansion of 1/2 in K 20.382 * [backup-simplify]: Simplify 1/2 into 1/2 20.382 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.382 * [taylor]: Taking taylor expansion of U in K 20.382 * [backup-simplify]: Simplify U into U 20.382 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.382 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.382 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.382 * [taylor]: Taking taylor expansion of 1/2 in K 20.382 * [backup-simplify]: Simplify 1/2 into 1/2 20.382 * [taylor]: Taking taylor expansion of K in K 20.382 * [backup-simplify]: Simplify 0 into 0 20.382 * [backup-simplify]: Simplify 1 into 1 20.382 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.383 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.383 * [taylor]: Taking taylor expansion of J in K 20.383 * [backup-simplify]: Simplify J into J 20.383 * [backup-simplify]: Simplify (* 1 J) into J 20.383 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.383 * [backup-simplify]: Simplify (* 1 1) into 1 20.383 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.383 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.383 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 20.384 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 20.384 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 20.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.384 * [backup-simplify]: Simplify (+ 0) into 0 20.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.385 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.385 * [backup-simplify]: Simplify (+ 0) into 0 20.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.386 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.386 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 20.386 * [backup-simplify]: Simplify (+ 0 0) into 0 20.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 20.387 * [taylor]: Taking taylor expansion of J in K 20.387 * [backup-simplify]: Simplify J into J 20.387 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 20.387 * [taylor]: Taking taylor expansion of -2 in J 20.387 * [backup-simplify]: Simplify -2 into -2 20.387 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 20.387 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.387 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.387 * [taylor]: Taking taylor expansion of 1/2 in J 20.387 * [backup-simplify]: Simplify 1/2 into 1/2 20.387 * [taylor]: Taking taylor expansion of K in J 20.387 * [backup-simplify]: Simplify K into K 20.387 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.387 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.387 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.387 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 20.387 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.387 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 20.387 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.387 * [taylor]: Taking taylor expansion of 1 in J 20.387 * [backup-simplify]: Simplify 1 into 1 20.387 * [taylor]: Taking taylor expansion of 1 in J 20.387 * [backup-simplify]: Simplify 1 into 1 20.387 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.387 * [taylor]: Taking taylor expansion of 1/2 in J 20.387 * [backup-simplify]: Simplify 1/2 into 1/2 20.387 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.387 * [taylor]: Taking taylor expansion of U in J 20.387 * [backup-simplify]: Simplify U into U 20.387 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.387 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.387 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.387 * [taylor]: Taking taylor expansion of 1/2 in J 20.387 * [backup-simplify]: Simplify 1/2 into 1/2 20.387 * [taylor]: Taking taylor expansion of K in J 20.387 * [backup-simplify]: Simplify K into K 20.387 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.387 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.387 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.387 * [taylor]: Taking taylor expansion of J in J 20.387 * [backup-simplify]: Simplify 0 into 0 20.387 * [backup-simplify]: Simplify 1 into 1 20.388 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.388 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.388 * [backup-simplify]: Simplify (- 0) into 0 20.388 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.388 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.388 * [backup-simplify]: Simplify (+ 0) into 0 20.388 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.390 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.390 * [backup-simplify]: Simplify (- 0) into 0 20.390 * [backup-simplify]: Simplify (+ 0 0) into 0 20.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.390 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 20.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.390 * [taylor]: Taking taylor expansion of 1/2 in J 20.390 * [backup-simplify]: Simplify 1/2 into 1/2 20.391 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.391 * [taylor]: Taking taylor expansion of U in J 20.391 * [backup-simplify]: Simplify U into U 20.391 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.391 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.391 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.391 * [taylor]: Taking taylor expansion of 1/2 in J 20.391 * [backup-simplify]: Simplify 1/2 into 1/2 20.391 * [taylor]: Taking taylor expansion of K in J 20.391 * [backup-simplify]: Simplify K into K 20.391 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.391 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.391 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.391 * [taylor]: Taking taylor expansion of J in J 20.391 * [backup-simplify]: Simplify 0 into 0 20.391 * [backup-simplify]: Simplify 1 into 1 20.391 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.391 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.391 * [backup-simplify]: Simplify (- 0) into 0 20.391 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.391 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.392 * [backup-simplify]: Simplify (+ 0) into 0 20.392 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.393 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.393 * [backup-simplify]: Simplify (- 0) into 0 20.394 * [backup-simplify]: Simplify (+ 0 0) into 0 20.394 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.394 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 20.394 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.394 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.394 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 20.394 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 20.394 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.396 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.397 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.397 * [backup-simplify]: Simplify (- 0) into 0 20.397 * [backup-simplify]: Simplify (+ 0 0) into 0 20.398 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.398 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 20.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.399 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.400 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.400 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.401 * [backup-simplify]: Simplify (- 0) into 0 20.401 * [backup-simplify]: Simplify (+ 0 0) into 0 20.401 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.402 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 20.402 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 20.402 * [backup-simplify]: Simplify (+ 0 0) into 0 20.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 20.402 * [taylor]: Taking taylor expansion of J in J 20.402 * [backup-simplify]: Simplify 0 into 0 20.403 * [backup-simplify]: Simplify 1 into 1 20.403 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 20.403 * [taylor]: Taking taylor expansion of -2 in U 20.403 * [backup-simplify]: Simplify -2 into -2 20.403 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 20.403 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.403 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.403 * [taylor]: Taking taylor expansion of 1/2 in U 20.403 * [backup-simplify]: Simplify 1/2 into 1/2 20.403 * [taylor]: Taking taylor expansion of K in U 20.403 * [backup-simplify]: Simplify K into K 20.403 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.403 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.403 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.403 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 20.403 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.403 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.403 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 20.403 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.403 * [taylor]: Taking taylor expansion of 1 in U 20.403 * [backup-simplify]: Simplify 1 into 1 20.403 * [taylor]: Taking taylor expansion of 1 in U 20.403 * [backup-simplify]: Simplify 1 into 1 20.403 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.403 * [taylor]: Taking taylor expansion of 1/2 in U 20.403 * [backup-simplify]: Simplify 1/2 into 1/2 20.403 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.403 * [taylor]: Taking taylor expansion of U in U 20.403 * [backup-simplify]: Simplify 0 into 0 20.403 * [backup-simplify]: Simplify 1 into 1 20.403 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.403 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.403 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.403 * [taylor]: Taking taylor expansion of 1/2 in U 20.403 * [backup-simplify]: Simplify 1/2 into 1/2 20.403 * [taylor]: Taking taylor expansion of K in U 20.403 * [backup-simplify]: Simplify K into K 20.403 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.403 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.403 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.403 * [taylor]: Taking taylor expansion of J in U 20.403 * [backup-simplify]: Simplify J into J 20.403 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.403 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.404 * [backup-simplify]: Simplify (- 0) into 0 20.404 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.404 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.404 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.404 * [taylor]: Taking taylor expansion of 1/2 in U 20.404 * [backup-simplify]: Simplify 1/2 into 1/2 20.404 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.404 * [taylor]: Taking taylor expansion of U in U 20.404 * [backup-simplify]: Simplify 0 into 0 20.404 * [backup-simplify]: Simplify 1 into 1 20.404 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.404 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.404 * [taylor]: Taking taylor expansion of 1/2 in U 20.404 * [backup-simplify]: Simplify 1/2 into 1/2 20.404 * [taylor]: Taking taylor expansion of K in U 20.404 * [backup-simplify]: Simplify K into K 20.404 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.404 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.404 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.404 * [taylor]: Taking taylor expansion of J in U 20.404 * [backup-simplify]: Simplify J into J 20.404 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.404 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.405 * [backup-simplify]: Simplify (- 0) into 0 20.405 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.405 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.405 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.405 * [backup-simplify]: Simplify (* 1 1) into 1 20.406 * [backup-simplify]: Simplify (+ 1 0) into 1 20.406 * [backup-simplify]: Simplify (sqrt 1) into 1 20.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.407 * [backup-simplify]: Simplify (+ 0 0) into 0 20.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.408 * [taylor]: Taking taylor expansion of J in U 20.408 * [backup-simplify]: Simplify J into J 20.408 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 20.408 * [taylor]: Taking taylor expansion of -2 in U 20.408 * [backup-simplify]: Simplify -2 into -2 20.408 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 20.408 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.408 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.408 * [taylor]: Taking taylor expansion of 1/2 in U 20.408 * [backup-simplify]: Simplify 1/2 into 1/2 20.408 * [taylor]: Taking taylor expansion of K in U 20.408 * [backup-simplify]: Simplify K into K 20.408 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.408 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.408 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.408 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 20.408 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.408 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.408 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 20.408 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.408 * [taylor]: Taking taylor expansion of 1 in U 20.408 * [backup-simplify]: Simplify 1 into 1 20.408 * [taylor]: Taking taylor expansion of 1 in U 20.409 * [backup-simplify]: Simplify 1 into 1 20.409 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.409 * [taylor]: Taking taylor expansion of 1/2 in U 20.409 * [backup-simplify]: Simplify 1/2 into 1/2 20.409 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.409 * [taylor]: Taking taylor expansion of U in U 20.409 * [backup-simplify]: Simplify 0 into 0 20.409 * [backup-simplify]: Simplify 1 into 1 20.409 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.409 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.409 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.409 * [taylor]: Taking taylor expansion of 1/2 in U 20.409 * [backup-simplify]: Simplify 1/2 into 1/2 20.409 * [taylor]: Taking taylor expansion of K in U 20.409 * [backup-simplify]: Simplify K into K 20.409 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.409 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.409 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.409 * [taylor]: Taking taylor expansion of J in U 20.409 * [backup-simplify]: Simplify J into J 20.409 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.409 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.410 * [backup-simplify]: Simplify (- 0) into 0 20.410 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.410 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.410 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.410 * [taylor]: Taking taylor expansion of 1/2 in U 20.410 * [backup-simplify]: Simplify 1/2 into 1/2 20.410 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.410 * [taylor]: Taking taylor expansion of U in U 20.410 * [backup-simplify]: Simplify 0 into 0 20.410 * [backup-simplify]: Simplify 1 into 1 20.410 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.410 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.410 * [taylor]: Taking taylor expansion of 1/2 in U 20.410 * [backup-simplify]: Simplify 1/2 into 1/2 20.411 * [taylor]: Taking taylor expansion of K in U 20.411 * [backup-simplify]: Simplify K into K 20.411 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.411 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.411 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.411 * [taylor]: Taking taylor expansion of J in U 20.411 * [backup-simplify]: Simplify J into J 20.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.411 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.411 * [backup-simplify]: Simplify (- 0) into 0 20.411 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.412 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.412 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.412 * [backup-simplify]: Simplify (* 1 1) into 1 20.412 * [backup-simplify]: Simplify (+ 1 0) into 1 20.413 * [backup-simplify]: Simplify (sqrt 1) into 1 20.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.414 * [backup-simplify]: Simplify (+ 0 0) into 0 20.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.415 * [taylor]: Taking taylor expansion of J in U 20.415 * [backup-simplify]: Simplify J into J 20.415 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.415 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.416 * [backup-simplify]: Simplify (- 0) into 0 20.416 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.416 * [backup-simplify]: Simplify (* 1 J) into J 20.416 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.416 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 20.416 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 20.416 * [taylor]: Taking taylor expansion of -2 in J 20.416 * [backup-simplify]: Simplify -2 into -2 20.416 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.416 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.416 * [taylor]: Taking taylor expansion of 1/2 in J 20.416 * [backup-simplify]: Simplify 1/2 into 1/2 20.416 * [taylor]: Taking taylor expansion of K in J 20.416 * [backup-simplify]: Simplify K into K 20.416 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.416 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.416 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.416 * [taylor]: Taking taylor expansion of J in J 20.417 * [backup-simplify]: Simplify 0 into 0 20.417 * [backup-simplify]: Simplify 1 into 1 20.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.421 * [backup-simplify]: Simplify (+ 0) into 0 20.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.422 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.422 * [backup-simplify]: Simplify (- 0) into 0 20.422 * [backup-simplify]: Simplify (+ 0 0) into 0 20.423 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.423 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 20.423 * [taylor]: Taking taylor expansion of 0 in J 20.423 * [backup-simplify]: Simplify 0 into 0 20.423 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.423 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.423 * [backup-simplify]: Simplify (- 0) into 0 20.423 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.423 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.424 * [backup-simplify]: Simplify (* -2 0) into 0 20.424 * [taylor]: Taking taylor expansion of 0 in K 20.424 * [backup-simplify]: Simplify 0 into 0 20.424 * [backup-simplify]: Simplify 0 into 0 20.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.424 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 20.425 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 20.425 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 20.425 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 20.426 * [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))) 20.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 20.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.427 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.428 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.429 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.429 * [backup-simplify]: Simplify (- 0) into 0 20.429 * [backup-simplify]: Simplify (+ 0 0) into 0 20.430 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 20.430 * [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)))) 20.430 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 20.430 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 20.430 * [taylor]: Taking taylor expansion of 1/4 in J 20.430 * [backup-simplify]: Simplify 1/4 into 1/4 20.430 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 20.430 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.430 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.430 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.430 * [taylor]: Taking taylor expansion of 1/2 in J 20.430 * [backup-simplify]: Simplify 1/2 into 1/2 20.430 * [taylor]: Taking taylor expansion of K in J 20.430 * [backup-simplify]: Simplify K into K 20.430 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.430 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.430 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.430 * [taylor]: Taking taylor expansion of J in J 20.430 * [backup-simplify]: Simplify 0 into 0 20.430 * [backup-simplify]: Simplify 1 into 1 20.430 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.431 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.431 * [backup-simplify]: Simplify (- 0) into 0 20.431 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.431 * [backup-simplify]: Simplify (+ 0) into 0 20.432 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.432 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.433 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.433 * [backup-simplify]: Simplify (- 0) into 0 20.433 * [backup-simplify]: Simplify (+ 0 0) into 0 20.433 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.434 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 20.434 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 20.434 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 20.434 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 20.434 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 20.434 * [taylor]: Taking taylor expansion of 1/4 in K 20.434 * [backup-simplify]: Simplify 1/4 into 1/4 20.434 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 20.434 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.434 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.434 * [taylor]: Taking taylor expansion of 1/2 in K 20.434 * [backup-simplify]: Simplify 1/2 into 1/2 20.434 * [taylor]: Taking taylor expansion of K in K 20.434 * [backup-simplify]: Simplify 0 into 0 20.434 * [backup-simplify]: Simplify 1 into 1 20.434 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.435 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.435 * [backup-simplify]: Simplify (/ 1 1) into 1 20.435 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 20.435 * [backup-simplify]: Simplify (- 1/4) into -1/4 20.435 * [backup-simplify]: Simplify -1/4 into -1/4 20.435 * [taylor]: Taking taylor expansion of 0 in K 20.436 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify (+ 0) into 0 20.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.437 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.438 * [backup-simplify]: Simplify (- 0) into 0 20.438 * [backup-simplify]: Simplify (+ 0 0) into 0 20.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.438 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 20.438 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 20.438 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 20.438 * [taylor]: Taking taylor expansion of 2 in K 20.438 * [backup-simplify]: Simplify 2 into 2 20.438 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.438 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.438 * [taylor]: Taking taylor expansion of 1/2 in K 20.439 * [backup-simplify]: Simplify 1/2 into 1/2 20.439 * [taylor]: Taking taylor expansion of K in K 20.439 * [backup-simplify]: Simplify 0 into 0 20.439 * [backup-simplify]: Simplify 1 into 1 20.439 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.439 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.440 * [backup-simplify]: Simplify (* 2 1) into 2 20.440 * [backup-simplify]: Simplify (- 2) into -2 20.440 * [backup-simplify]: Simplify -2 into -2 20.440 * [backup-simplify]: Simplify 0 into 0 20.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.441 * [backup-simplify]: Simplify (+ 0) into 0 20.441 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.442 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.442 * [backup-simplify]: Simplify (- 0) into 0 20.443 * [backup-simplify]: Simplify (+ 0 0) into 0 20.443 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.443 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 20.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 20.443 * [backup-simplify]: Simplify (+ 0) into 0 20.444 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.445 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.445 * [backup-simplify]: Simplify (- 0) into 0 20.445 * [backup-simplify]: Simplify (+ 0 0) into 0 20.445 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.446 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 20.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 20.446 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 20.446 * [backup-simplify]: Simplify (+ 0 0) into 0 20.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 20.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 20.448 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.448 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 20.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.452 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.452 * [backup-simplify]: Simplify (- 0) into 0 20.452 * [backup-simplify]: Simplify (+ 0 0) into 0 20.453 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 20.454 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 20.454 * [taylor]: Taking taylor expansion of 0 in J 20.454 * [backup-simplify]: Simplify 0 into 0 20.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.456 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.458 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.459 * [backup-simplify]: Simplify (- 0) into 0 20.459 * [backup-simplify]: Simplify (+ 0 0) into 0 20.460 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 20.461 * [backup-simplify]: Simplify (- 0) into 0 20.461 * [taylor]: Taking taylor expansion of 0 in K 20.461 * [backup-simplify]: Simplify 0 into 0 20.461 * [backup-simplify]: Simplify 0 into 0 20.461 * [taylor]: Taking taylor expansion of 0 in K 20.461 * [backup-simplify]: Simplify 0 into 0 20.461 * [backup-simplify]: Simplify 0 into 0 20.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.463 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.465 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.465 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.466 * [backup-simplify]: Simplify (- 0) into 0 20.466 * [backup-simplify]: Simplify (+ 0 0) into 0 20.467 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.468 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 20.468 * [taylor]: Taking taylor expansion of 0 in K 20.468 * [backup-simplify]: Simplify 0 into 0 20.468 * [backup-simplify]: Simplify 0 into 0 20.468 * [backup-simplify]: Simplify (+ 0) into 0 20.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 20.470 * [backup-simplify]: Simplify (- 0) into 0 20.470 * [backup-simplify]: Simplify 0 into 0 20.470 * [backup-simplify]: Simplify 0 into 0 20.470 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 20.470 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 20.470 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 20.470 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 20.470 * [taylor]: Taking taylor expansion of -2 in K 20.470 * [backup-simplify]: Simplify -2 into -2 20.470 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 20.470 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 20.470 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 20.470 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.470 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 20.470 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.470 * [taylor]: Taking taylor expansion of 1 in K 20.470 * [backup-simplify]: Simplify 1 into 1 20.471 * [taylor]: Taking taylor expansion of 1 in K 20.471 * [backup-simplify]: Simplify 1 into 1 20.471 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 20.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 20.471 * [taylor]: Taking taylor expansion of 1/2 in K 20.471 * [backup-simplify]: Simplify 1/2 into 1/2 20.471 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 20.471 * [taylor]: Taking taylor expansion of J in K 20.471 * [backup-simplify]: Simplify J into J 20.471 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 20.471 * [taylor]: Taking taylor expansion of U in K 20.471 * [backup-simplify]: Simplify U into U 20.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.471 * [taylor]: Taking taylor expansion of 1/2 in K 20.471 * [backup-simplify]: Simplify 1/2 into 1/2 20.471 * [taylor]: Taking taylor expansion of K in K 20.471 * [backup-simplify]: Simplify 0 into 0 20.471 * [backup-simplify]: Simplify 1 into 1 20.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.471 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.471 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 20.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 20.471 * [taylor]: Taking taylor expansion of 1/2 in K 20.471 * [backup-simplify]: Simplify 1/2 into 1/2 20.471 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 20.471 * [taylor]: Taking taylor expansion of J in K 20.471 * [backup-simplify]: Simplify J into J 20.471 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 20.471 * [taylor]: Taking taylor expansion of U in K 20.471 * [backup-simplify]: Simplify U into U 20.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.471 * [taylor]: Taking taylor expansion of 1/2 in K 20.471 * [backup-simplify]: Simplify 1/2 into 1/2 20.471 * [taylor]: Taking taylor expansion of K in K 20.472 * [backup-simplify]: Simplify 0 into 0 20.472 * [backup-simplify]: Simplify 1 into 1 20.472 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.472 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.472 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.472 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 20.472 * [backup-simplify]: Simplify (* 1 1) into 1 20.472 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 20.472 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 20.473 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 20.473 * [backup-simplify]: Simplify (+ 1 (* 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) 20.473 * [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)) 20.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.474 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 20.474 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 20.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 20.474 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 20.475 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 20.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 20.475 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 20.475 * [backup-simplify]: Simplify (+ 0 0) into 0 20.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 20.476 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.476 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.476 * [taylor]: Taking taylor expansion of 1/2 in K 20.476 * [backup-simplify]: Simplify 1/2 into 1/2 20.476 * [taylor]: Taking taylor expansion of K in K 20.476 * [backup-simplify]: Simplify 0 into 0 20.476 * [backup-simplify]: Simplify 1 into 1 20.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.476 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.476 * [taylor]: Taking taylor expansion of J in K 20.476 * [backup-simplify]: Simplify J into J 20.476 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 20.477 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 20.477 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 20.477 * [taylor]: Taking taylor expansion of -2 in J 20.477 * [backup-simplify]: Simplify -2 into -2 20.477 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 20.477 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 20.477 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 20.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.477 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 20.477 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.477 * [taylor]: Taking taylor expansion of 1 in J 20.477 * [backup-simplify]: Simplify 1 into 1 20.477 * [taylor]: Taking taylor expansion of 1 in J 20.477 * [backup-simplify]: Simplify 1 into 1 20.477 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 20.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 20.477 * [taylor]: Taking taylor expansion of 1/2 in J 20.477 * [backup-simplify]: Simplify 1/2 into 1/2 20.477 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 20.477 * [taylor]: Taking taylor expansion of J in J 20.477 * [backup-simplify]: Simplify 0 into 0 20.477 * [backup-simplify]: Simplify 1 into 1 20.477 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 20.477 * [taylor]: Taking taylor expansion of U in J 20.477 * [backup-simplify]: Simplify U into U 20.477 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.477 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.477 * [taylor]: Taking taylor expansion of 1/2 in J 20.477 * [backup-simplify]: Simplify 1/2 into 1/2 20.477 * [taylor]: Taking taylor expansion of K in J 20.477 * [backup-simplify]: Simplify K into K 20.477 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.478 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.478 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.478 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.478 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.478 * [backup-simplify]: Simplify (- 0) into 0 20.478 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.478 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.478 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 20.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 20.478 * [taylor]: Taking taylor expansion of 1/2 in J 20.478 * [backup-simplify]: Simplify 1/2 into 1/2 20.478 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 20.478 * [taylor]: Taking taylor expansion of J in J 20.478 * [backup-simplify]: Simplify 0 into 0 20.478 * [backup-simplify]: Simplify 1 into 1 20.478 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 20.478 * [taylor]: Taking taylor expansion of U in J 20.478 * [backup-simplify]: Simplify U into U 20.478 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.478 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.478 * [taylor]: Taking taylor expansion of 1/2 in J 20.479 * [backup-simplify]: Simplify 1/2 into 1/2 20.479 * [taylor]: Taking taylor expansion of K in J 20.479 * [backup-simplify]: Simplify K into K 20.479 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.479 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.479 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.479 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.479 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.479 * [backup-simplify]: Simplify (- 0) into 0 20.479 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.479 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.479 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 20.479 * [backup-simplify]: Simplify (* 1 1) into 1 20.480 * [backup-simplify]: Simplify (+ 1 0) into 1 20.480 * [backup-simplify]: Simplify (sqrt 1) into 1 20.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.481 * [backup-simplify]: Simplify (+ 0 0) into 0 20.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.481 * [taylor]: Taking taylor expansion of 1/2 in J 20.481 * [backup-simplify]: Simplify 1/2 into 1/2 20.481 * [taylor]: Taking taylor expansion of K in J 20.481 * [backup-simplify]: Simplify K into K 20.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.481 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.481 * [taylor]: Taking taylor expansion of J in J 20.481 * [backup-simplify]: Simplify 0 into 0 20.481 * [backup-simplify]: Simplify 1 into 1 20.481 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.481 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.482 * [backup-simplify]: Simplify (- 0) into 0 20.482 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.482 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 20.482 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.482 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 20.482 * [taylor]: Taking taylor expansion of -2 in U 20.482 * [backup-simplify]: Simplify -2 into -2 20.482 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 20.482 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 20.482 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.482 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 20.482 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.482 * [taylor]: Taking taylor expansion of 1 in U 20.482 * [backup-simplify]: Simplify 1 into 1 20.482 * [taylor]: Taking taylor expansion of 1 in U 20.482 * [backup-simplify]: Simplify 1 into 1 20.482 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.482 * [taylor]: Taking taylor expansion of 1/2 in U 20.482 * [backup-simplify]: Simplify 1/2 into 1/2 20.482 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.482 * [taylor]: Taking taylor expansion of J in U 20.482 * [backup-simplify]: Simplify J into J 20.482 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.482 * [taylor]: Taking taylor expansion of U in U 20.482 * [backup-simplify]: Simplify 0 into 0 20.482 * [backup-simplify]: Simplify 1 into 1 20.482 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.482 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.482 * [taylor]: Taking taylor expansion of 1/2 in U 20.482 * [backup-simplify]: Simplify 1/2 into 1/2 20.482 * [taylor]: Taking taylor expansion of K in U 20.482 * [backup-simplify]: Simplify K into K 20.482 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.482 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.483 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.483 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.483 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.483 * [backup-simplify]: Simplify (- 0) into 0 20.483 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.483 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.483 * [backup-simplify]: Simplify (+ 0) into 0 20.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.485 * [backup-simplify]: Simplify (- 0) into 0 20.485 * [backup-simplify]: Simplify (+ 0 0) into 0 20.485 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.485 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.485 * [taylor]: Taking taylor expansion of 1/2 in U 20.485 * [backup-simplify]: Simplify 1/2 into 1/2 20.485 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.485 * [taylor]: Taking taylor expansion of J in U 20.485 * [backup-simplify]: Simplify J into J 20.485 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.485 * [taylor]: Taking taylor expansion of U in U 20.485 * [backup-simplify]: Simplify 0 into 0 20.485 * [backup-simplify]: Simplify 1 into 1 20.485 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.485 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.485 * [taylor]: Taking taylor expansion of 1/2 in U 20.485 * [backup-simplify]: Simplify 1/2 into 1/2 20.486 * [taylor]: Taking taylor expansion of K in U 20.486 * [backup-simplify]: Simplify K into K 20.486 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.486 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.486 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.486 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.486 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.486 * [backup-simplify]: Simplify (- 0) into 0 20.486 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.486 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.486 * [backup-simplify]: Simplify (+ 0) into 0 20.487 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.487 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.487 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.488 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.488 * [backup-simplify]: Simplify (- 0) into 0 20.488 * [backup-simplify]: Simplify (+ 0 0) into 0 20.488 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.489 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.489 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.489 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.489 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 20.489 * [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))) 20.489 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.490 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.491 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.491 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.492 * [backup-simplify]: Simplify (- 0) into 0 20.492 * [backup-simplify]: Simplify (+ 0 0) into 0 20.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.492 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.495 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.495 * [backup-simplify]: Simplify (- 0) into 0 20.495 * [backup-simplify]: Simplify (+ 0 0) into 0 20.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.496 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.496 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.497 * [backup-simplify]: Simplify (+ 0 0) into 0 20.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 20.497 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.497 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.497 * [taylor]: Taking taylor expansion of 1/2 in U 20.497 * [backup-simplify]: Simplify 1/2 into 1/2 20.497 * [taylor]: Taking taylor expansion of K in U 20.497 * [backup-simplify]: Simplify K into K 20.497 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.497 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.497 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.497 * [taylor]: Taking taylor expansion of J in U 20.497 * [backup-simplify]: Simplify J into J 20.497 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.497 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.498 * [backup-simplify]: Simplify (- 0) into 0 20.498 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.498 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 20.498 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.498 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 20.498 * [taylor]: Taking taylor expansion of -2 in U 20.498 * [backup-simplify]: Simplify -2 into -2 20.498 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 20.498 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 20.498 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.498 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.498 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 20.498 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.498 * [taylor]: Taking taylor expansion of 1 in U 20.498 * [backup-simplify]: Simplify 1 into 1 20.498 * [taylor]: Taking taylor expansion of 1 in U 20.498 * [backup-simplify]: Simplify 1 into 1 20.498 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.499 * [taylor]: Taking taylor expansion of 1/2 in U 20.499 * [backup-simplify]: Simplify 1/2 into 1/2 20.499 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.499 * [taylor]: Taking taylor expansion of J in U 20.499 * [backup-simplify]: Simplify J into J 20.499 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.499 * [taylor]: Taking taylor expansion of U in U 20.499 * [backup-simplify]: Simplify 0 into 0 20.499 * [backup-simplify]: Simplify 1 into 1 20.499 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.499 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.499 * [taylor]: Taking taylor expansion of 1/2 in U 20.499 * [backup-simplify]: Simplify 1/2 into 1/2 20.499 * [taylor]: Taking taylor expansion of K in U 20.499 * [backup-simplify]: Simplify K into K 20.499 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.499 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.499 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.499 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.500 * [backup-simplify]: Simplify (- 0) into 0 20.500 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.500 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.500 * [backup-simplify]: Simplify (+ 0) into 0 20.501 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.503 * [backup-simplify]: Simplify (- 0) into 0 20.503 * [backup-simplify]: Simplify (+ 0 0) into 0 20.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.504 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.504 * [taylor]: Taking taylor expansion of 1/2 in U 20.504 * [backup-simplify]: Simplify 1/2 into 1/2 20.504 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.504 * [taylor]: Taking taylor expansion of J in U 20.504 * [backup-simplify]: Simplify J into J 20.504 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.504 * [taylor]: Taking taylor expansion of U in U 20.504 * [backup-simplify]: Simplify 0 into 0 20.504 * [backup-simplify]: Simplify 1 into 1 20.504 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.504 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.504 * [taylor]: Taking taylor expansion of 1/2 in U 20.504 * [backup-simplify]: Simplify 1/2 into 1/2 20.504 * [taylor]: Taking taylor expansion of K in U 20.504 * [backup-simplify]: Simplify K into K 20.504 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.504 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.504 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.504 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.505 * [backup-simplify]: Simplify (- 0) into 0 20.505 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.505 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.506 * [backup-simplify]: Simplify (+ 0) into 0 20.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.507 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.508 * [backup-simplify]: Simplify (- 0) into 0 20.508 * [backup-simplify]: Simplify (+ 0 0) into 0 20.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.509 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.509 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.509 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.509 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 20.510 * [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))) 20.510 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.512 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.512 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.513 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.514 * [backup-simplify]: Simplify (- 0) into 0 20.514 * [backup-simplify]: Simplify (+ 0 0) into 0 20.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.515 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.518 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.519 * [backup-simplify]: Simplify (- 0) into 0 20.520 * [backup-simplify]: Simplify (+ 0 0) into 0 20.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.521 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.522 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.522 * [backup-simplify]: Simplify (+ 0 0) into 0 20.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 20.522 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.523 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.523 * [taylor]: Taking taylor expansion of 1/2 in U 20.523 * [backup-simplify]: Simplify 1/2 into 1/2 20.523 * [taylor]: Taking taylor expansion of K in U 20.523 * [backup-simplify]: Simplify K into K 20.523 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.523 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.523 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.523 * [taylor]: Taking taylor expansion of J in U 20.523 * [backup-simplify]: Simplify J into J 20.523 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.523 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.524 * [backup-simplify]: Simplify (- 0) into 0 20.524 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.524 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 20.524 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.525 * [backup-simplify]: Simplify (* -2 1/2) into -1 20.525 * [taylor]: Taking taylor expansion of -1 in J 20.525 * [backup-simplify]: Simplify -1 into -1 20.525 * [backup-simplify]: Simplify (+ 0) into 0 20.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.528 * [backup-simplify]: Simplify (- 0) into 0 20.528 * [backup-simplify]: Simplify (+ 0 0) into 0 20.528 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 20.528 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 20.529 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 20.529 * [taylor]: Taking taylor expansion of 0 in J 20.529 * [backup-simplify]: Simplify 0 into 0 20.529 * [taylor]: Taking taylor expansion of -1 in K 20.529 * [backup-simplify]: Simplify -1 into -1 20.529 * [backup-simplify]: Simplify -1 into -1 20.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.531 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.533 * [backup-simplify]: Simplify (- 0) into 0 20.533 * [backup-simplify]: Simplify (+ 0 0) into 0 20.534 * [backup-simplify]: Simplify (* 1 1) into 1 20.539 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.543 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.544 * [backup-simplify]: Simplify (- 0) into 0 20.544 * [backup-simplify]: Simplify (+ 0 0) into 0 20.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.546 * [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 20.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 20.548 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.552 * [backup-simplify]: Simplify (- 0) into 0 20.552 * [backup-simplify]: Simplify (+ 0 0) into 0 20.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.554 * [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 20.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 20.555 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 20.556 * [backup-simplify]: Simplify (+ 1 0) into 1 20.557 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 20.557 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 20.558 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 20.559 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 20.559 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 20.559 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 20.559 * [taylor]: Taking taylor expansion of 2 in J 20.559 * [backup-simplify]: Simplify 2 into 2 20.559 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 20.559 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 20.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.559 * [taylor]: Taking taylor expansion of 1/2 in J 20.559 * [backup-simplify]: Simplify 1/2 into 1/2 20.559 * [taylor]: Taking taylor expansion of K in J 20.559 * [backup-simplify]: Simplify K into K 20.559 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.559 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.559 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.559 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.559 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.560 * [backup-simplify]: Simplify (- 0) into 0 20.560 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.560 * [taylor]: Taking taylor expansion of (pow J 2) in J 20.560 * [taylor]: Taking taylor expansion of J in J 20.560 * [backup-simplify]: Simplify 0 into 0 20.560 * [backup-simplify]: Simplify 1 into 1 20.560 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 20.561 * [backup-simplify]: Simplify (* 1 1) into 1 20.561 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 20.561 * [backup-simplify]: Simplify (+ 0) into 0 20.562 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.563 * [backup-simplify]: Simplify (- 0) into 0 20.564 * [backup-simplify]: Simplify (+ 0 0) into 0 20.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 20.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 20.566 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 20.566 * [backup-simplify]: Simplify (- 0) into 0 20.566 * [taylor]: Taking taylor expansion of 0 in K 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [taylor]: Taking taylor expansion of 0 in K 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [taylor]: Taking taylor expansion of 0 in K 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [backup-simplify]: Simplify 0 into 0 20.568 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.569 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.571 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.572 * [backup-simplify]: Simplify (- 0) into 0 20.572 * [backup-simplify]: Simplify (+ 0 0) into 0 20.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.575 * [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 20.576 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.578 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.579 * [backup-simplify]: Simplify (- 0) into 0 20.580 * [backup-simplify]: Simplify (+ 0 0) into 0 20.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 20.582 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 20.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 20.585 * [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 20.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.586 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.588 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.588 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.589 * [backup-simplify]: Simplify (- 0) into 0 20.589 * [backup-simplify]: Simplify (+ 0 0) into 0 20.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 20.591 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 20.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 20.593 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 20.594 * [backup-simplify]: Simplify (+ 0 0) into 0 20.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.594 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.595 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 20.596 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 20.596 * [taylor]: Taking taylor expansion of 0 in J 20.596 * [backup-simplify]: Simplify 0 into 0 20.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.598 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.599 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.600 * [backup-simplify]: Simplify (- 0) into 0 20.600 * [backup-simplify]: Simplify (+ 0 0) into 0 20.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 20.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 20.604 * [backup-simplify]: Simplify (- 0) into 0 20.604 * [taylor]: Taking taylor expansion of 0 in K 20.604 * [backup-simplify]: Simplify 0 into 0 20.604 * [backup-simplify]: Simplify 0 into 0 20.604 * [taylor]: Taking taylor expansion of 0 in K 20.604 * [backup-simplify]: Simplify 0 into 0 20.604 * [backup-simplify]: Simplify 0 into 0 20.604 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 20.605 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 20.605 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 20.605 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 20.605 * [taylor]: Taking taylor expansion of 2 in K 20.605 * [backup-simplify]: Simplify 2 into 2 20.605 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 20.605 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 20.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.605 * [taylor]: Taking taylor expansion of -1/2 in K 20.605 * [backup-simplify]: Simplify -1/2 into -1/2 20.605 * [taylor]: Taking taylor expansion of K in K 20.605 * [backup-simplify]: Simplify 0 into 0 20.605 * [backup-simplify]: Simplify 1 into 1 20.606 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.606 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.606 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 20.606 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.606 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 20.606 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.606 * [taylor]: Taking taylor expansion of 1 in K 20.606 * [backup-simplify]: Simplify 1 into 1 20.606 * [taylor]: Taking taylor expansion of 1 in K 20.606 * [backup-simplify]: Simplify 1 into 1 20.606 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 20.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 20.606 * [taylor]: Taking taylor expansion of 1/2 in K 20.606 * [backup-simplify]: Simplify 1/2 into 1/2 20.606 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 20.606 * [taylor]: Taking taylor expansion of J in K 20.606 * [backup-simplify]: Simplify J into J 20.606 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 20.606 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.606 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.606 * [taylor]: Taking taylor expansion of -1/2 in K 20.606 * [backup-simplify]: Simplify -1/2 into -1/2 20.606 * [taylor]: Taking taylor expansion of K in K 20.606 * [backup-simplify]: Simplify 0 into 0 20.606 * [backup-simplify]: Simplify 1 into 1 20.607 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.607 * [taylor]: Taking taylor expansion of U in K 20.607 * [backup-simplify]: Simplify U into U 20.607 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.607 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 20.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 20.607 * [taylor]: Taking taylor expansion of 1/2 in K 20.607 * [backup-simplify]: Simplify 1/2 into 1/2 20.607 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 20.607 * [taylor]: Taking taylor expansion of J in K 20.607 * [backup-simplify]: Simplify J into J 20.607 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 20.607 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.607 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.607 * [taylor]: Taking taylor expansion of -1/2 in K 20.607 * [backup-simplify]: Simplify -1/2 into -1/2 20.608 * [taylor]: Taking taylor expansion of K in K 20.608 * [backup-simplify]: Simplify 0 into 0 20.608 * [backup-simplify]: Simplify 1 into 1 20.608 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.608 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.608 * [taylor]: Taking taylor expansion of U in K 20.608 * [backup-simplify]: Simplify U into U 20.608 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.608 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 20.609 * [backup-simplify]: Simplify (* 1 1) into 1 20.609 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 20.609 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 20.609 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 20.610 * [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))))) 20.610 * [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)))))) 20.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 20.611 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 20.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 20.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 20.612 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 20.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 20.613 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 20.614 * [backup-simplify]: Simplify (+ 0 0) into 0 20.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 20.615 * [taylor]: Taking taylor expansion of J in K 20.615 * [backup-simplify]: Simplify J into J 20.615 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 20.615 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 20.616 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 20.616 * [taylor]: Taking taylor expansion of 2 in J 20.616 * [backup-simplify]: Simplify 2 into 2 20.616 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 20.616 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 20.616 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.616 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.616 * [taylor]: Taking taylor expansion of -1/2 in J 20.616 * [backup-simplify]: Simplify -1/2 into -1/2 20.616 * [taylor]: Taking taylor expansion of K in J 20.616 * [backup-simplify]: Simplify K into K 20.616 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.616 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.616 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.616 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 20.616 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.616 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 20.616 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.616 * [taylor]: Taking taylor expansion of 1 in J 20.616 * [backup-simplify]: Simplify 1 into 1 20.616 * [taylor]: Taking taylor expansion of 1 in J 20.616 * [backup-simplify]: Simplify 1 into 1 20.616 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 20.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 20.616 * [taylor]: Taking taylor expansion of 1/2 in J 20.616 * [backup-simplify]: Simplify 1/2 into 1/2 20.616 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 20.616 * [taylor]: Taking taylor expansion of J in J 20.616 * [backup-simplify]: Simplify 0 into 0 20.616 * [backup-simplify]: Simplify 1 into 1 20.616 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 20.617 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.617 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.617 * [taylor]: Taking taylor expansion of -1/2 in J 20.617 * [backup-simplify]: Simplify -1/2 into -1/2 20.617 * [taylor]: Taking taylor expansion of K in J 20.617 * [backup-simplify]: Simplify K into K 20.617 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.617 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.617 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.617 * [taylor]: Taking taylor expansion of U in J 20.617 * [backup-simplify]: Simplify U into U 20.617 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.617 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.618 * [backup-simplify]: Simplify (- 0) into 0 20.618 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.618 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.618 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 20.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 20.618 * [taylor]: Taking taylor expansion of 1/2 in J 20.618 * [backup-simplify]: Simplify 1/2 into 1/2 20.618 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 20.618 * [taylor]: Taking taylor expansion of J in J 20.618 * [backup-simplify]: Simplify 0 into 0 20.618 * [backup-simplify]: Simplify 1 into 1 20.618 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 20.618 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.618 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.618 * [taylor]: Taking taylor expansion of -1/2 in J 20.618 * [backup-simplify]: Simplify -1/2 into -1/2 20.618 * [taylor]: Taking taylor expansion of K in J 20.618 * [backup-simplify]: Simplify K into K 20.618 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.618 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.618 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.618 * [taylor]: Taking taylor expansion of U in J 20.618 * [backup-simplify]: Simplify U into U 20.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.619 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.619 * [backup-simplify]: Simplify (- 0) into 0 20.619 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.619 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 20.620 * [backup-simplify]: Simplify (* 1 1) into 1 20.620 * [backup-simplify]: Simplify (+ 1 0) into 1 20.621 * [backup-simplify]: Simplify (sqrt 1) into 1 20.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.622 * [backup-simplify]: Simplify (+ 0 0) into 0 20.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.622 * [taylor]: Taking taylor expansion of J in J 20.622 * [backup-simplify]: Simplify 0 into 0 20.622 * [backup-simplify]: Simplify 1 into 1 20.622 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.622 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.623 * [backup-simplify]: Simplify (- 0) into 0 20.623 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.623 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.623 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.623 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 20.623 * [taylor]: Taking taylor expansion of 2 in U 20.623 * [backup-simplify]: Simplify 2 into 2 20.623 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 20.623 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.623 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.623 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.623 * [taylor]: Taking taylor expansion of -1/2 in U 20.623 * [backup-simplify]: Simplify -1/2 into -1/2 20.623 * [taylor]: Taking taylor expansion of K in U 20.623 * [backup-simplify]: Simplify K into K 20.623 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.624 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.624 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.624 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.624 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.624 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.624 * [taylor]: Taking taylor expansion of 1 in U 20.624 * [backup-simplify]: Simplify 1 into 1 20.624 * [taylor]: Taking taylor expansion of 1 in U 20.624 * [backup-simplify]: Simplify 1 into 1 20.624 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.624 * [taylor]: Taking taylor expansion of 1/2 in U 20.624 * [backup-simplify]: Simplify 1/2 into 1/2 20.624 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.624 * [taylor]: Taking taylor expansion of J in U 20.624 * [backup-simplify]: Simplify J into J 20.624 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.624 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.624 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.624 * [taylor]: Taking taylor expansion of -1/2 in U 20.624 * [backup-simplify]: Simplify -1/2 into -1/2 20.624 * [taylor]: Taking taylor expansion of K in U 20.624 * [backup-simplify]: Simplify K into K 20.624 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.624 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.624 * [taylor]: Taking taylor expansion of U in U 20.624 * [backup-simplify]: Simplify 0 into 0 20.624 * [backup-simplify]: Simplify 1 into 1 20.625 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.625 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.625 * [backup-simplify]: Simplify (- 0) into 0 20.625 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.625 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.626 * [backup-simplify]: Simplify (+ 0) into 0 20.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.626 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.628 * [backup-simplify]: Simplify (- 0) into 0 20.629 * [backup-simplify]: Simplify (+ 0 0) into 0 20.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.629 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.629 * [taylor]: Taking taylor expansion of 1/2 in U 20.629 * [backup-simplify]: Simplify 1/2 into 1/2 20.629 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.629 * [taylor]: Taking taylor expansion of J in U 20.629 * [backup-simplify]: Simplify J into J 20.629 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.629 * [taylor]: Taking taylor expansion of -1/2 in U 20.629 * [backup-simplify]: Simplify -1/2 into -1/2 20.629 * [taylor]: Taking taylor expansion of K in U 20.630 * [backup-simplify]: Simplify K into K 20.630 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.630 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.630 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.630 * [taylor]: Taking taylor expansion of U in U 20.630 * [backup-simplify]: Simplify 0 into 0 20.630 * [backup-simplify]: Simplify 1 into 1 20.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.630 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.630 * [backup-simplify]: Simplify (- 0) into 0 20.630 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.631 * [backup-simplify]: Simplify (+ 0) into 0 20.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.633 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.633 * [backup-simplify]: Simplify (- 0) into 0 20.633 * [backup-simplify]: Simplify (+ 0 0) into 0 20.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.634 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.634 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.634 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.634 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 20.635 * [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))) 20.635 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.638 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.639 * [backup-simplify]: Simplify (- 0) into 0 20.639 * [backup-simplify]: Simplify (+ 0 0) into 0 20.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.640 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.643 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.644 * [backup-simplify]: Simplify (- 0) into 0 20.644 * [backup-simplify]: Simplify (+ 0 0) into 0 20.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.645 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.646 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.646 * [backup-simplify]: Simplify (+ 0 0) into 0 20.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 20.647 * [taylor]: Taking taylor expansion of J in U 20.647 * [backup-simplify]: Simplify J into J 20.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.647 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.647 * [backup-simplify]: Simplify (- 0) into 0 20.647 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 20.648 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.648 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 20.648 * [taylor]: Taking taylor expansion of 2 in U 20.648 * [backup-simplify]: Simplify 2 into 2 20.648 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 20.648 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.648 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.648 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.648 * [taylor]: Taking taylor expansion of -1/2 in U 20.648 * [backup-simplify]: Simplify -1/2 into -1/2 20.648 * [taylor]: Taking taylor expansion of K in U 20.648 * [backup-simplify]: Simplify K into K 20.648 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.648 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.648 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.648 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.648 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.648 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.648 * [taylor]: Taking taylor expansion of 1 in U 20.648 * [backup-simplify]: Simplify 1 into 1 20.648 * [taylor]: Taking taylor expansion of 1 in U 20.648 * [backup-simplify]: Simplify 1 into 1 20.648 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.648 * [taylor]: Taking taylor expansion of 1/2 in U 20.648 * [backup-simplify]: Simplify 1/2 into 1/2 20.648 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.648 * [taylor]: Taking taylor expansion of J in U 20.649 * [backup-simplify]: Simplify J into J 20.649 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.649 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.649 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.649 * [taylor]: Taking taylor expansion of -1/2 in U 20.649 * [backup-simplify]: Simplify -1/2 into -1/2 20.649 * [taylor]: Taking taylor expansion of K in U 20.649 * [backup-simplify]: Simplify K into K 20.649 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.649 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.649 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.649 * [taylor]: Taking taylor expansion of U in U 20.649 * [backup-simplify]: Simplify 0 into 0 20.649 * [backup-simplify]: Simplify 1 into 1 20.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.649 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.650 * [backup-simplify]: Simplify (- 0) into 0 20.650 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.650 * [backup-simplify]: Simplify (+ 0) into 0 20.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.651 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.652 * [backup-simplify]: Simplify (- 0) into 0 20.653 * [backup-simplify]: Simplify (+ 0 0) into 0 20.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.653 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.653 * [taylor]: Taking taylor expansion of 1/2 in U 20.653 * [backup-simplify]: Simplify 1/2 into 1/2 20.653 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.653 * [taylor]: Taking taylor expansion of J in U 20.653 * [backup-simplify]: Simplify J into J 20.653 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.653 * [taylor]: Taking taylor expansion of -1/2 in U 20.653 * [backup-simplify]: Simplify -1/2 into -1/2 20.653 * [taylor]: Taking taylor expansion of K in U 20.653 * [backup-simplify]: Simplify K into K 20.653 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.654 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.654 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.654 * [taylor]: Taking taylor expansion of U in U 20.654 * [backup-simplify]: Simplify 0 into 0 20.654 * [backup-simplify]: Simplify 1 into 1 20.654 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.654 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.654 * [backup-simplify]: Simplify (- 0) into 0 20.654 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.654 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.655 * [backup-simplify]: Simplify (+ 0) into 0 20.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.655 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.657 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.657 * [backup-simplify]: Simplify (- 0) into 0 20.657 * [backup-simplify]: Simplify (+ 0 0) into 0 20.657 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.658 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.658 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.658 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.658 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 20.658 * [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))) 20.658 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.660 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.660 * [backup-simplify]: Simplify (- 0) into 0 20.661 * [backup-simplify]: Simplify (+ 0 0) into 0 20.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.661 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.662 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.663 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.663 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.663 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.664 * [backup-simplify]: Simplify (- 0) into 0 20.664 * [backup-simplify]: Simplify (+ 0 0) into 0 20.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.664 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.665 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.665 * [backup-simplify]: Simplify (+ 0 0) into 0 20.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 20.665 * [taylor]: Taking taylor expansion of J in U 20.665 * [backup-simplify]: Simplify J into J 20.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.665 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.666 * [backup-simplify]: Simplify (- 0) into 0 20.666 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 20.666 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.666 * [backup-simplify]: Simplify (* 2 1/2) into 1 20.666 * [taylor]: Taking taylor expansion of 1 in J 20.666 * [backup-simplify]: Simplify 1 into 1 20.667 * [backup-simplify]: Simplify (+ 0) into 0 20.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.667 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.668 * [backup-simplify]: Simplify (- 0) into 0 20.668 * [backup-simplify]: Simplify (+ 0 0) into 0 20.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.668 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 20.669 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 20.669 * [taylor]: Taking taylor expansion of 0 in J 20.669 * [backup-simplify]: Simplify 0 into 0 20.669 * [taylor]: Taking taylor expansion of 1 in K 20.669 * [backup-simplify]: Simplify 1 into 1 20.669 * [backup-simplify]: Simplify 1 into 1 20.669 * [backup-simplify]: Simplify (* 1 1) into 1 20.670 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.672 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.672 * [backup-simplify]: Simplify (- 0) into 0 20.672 * [backup-simplify]: Simplify (+ 0 0) into 0 20.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.676 * [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 20.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 20.677 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.678 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.679 * [backup-simplify]: Simplify (- 0) into 0 20.679 * [backup-simplify]: Simplify (+ 0 0) into 0 20.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.680 * [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 20.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 20.681 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 20.682 * [backup-simplify]: Simplify (+ 1 0) into 1 20.682 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 20.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.684 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.685 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.686 * [backup-simplify]: Simplify (- 0) into 0 20.687 * [backup-simplify]: Simplify (+ 0 0) into 0 20.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 20.688 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 20.688 * [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))) 20.688 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 20.688 * [taylor]: Taking taylor expansion of 2 in J 20.688 * [backup-simplify]: Simplify 2 into 2 20.689 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 20.689 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 20.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.689 * [taylor]: Taking taylor expansion of -1/2 in J 20.689 * [backup-simplify]: Simplify -1/2 into -1/2 20.689 * [taylor]: Taking taylor expansion of K in J 20.689 * [backup-simplify]: Simplify K into K 20.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.689 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.689 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.690 * [backup-simplify]: Simplify (- 0) into 0 20.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.690 * [taylor]: Taking taylor expansion of (pow J 2) in J 20.690 * [taylor]: Taking taylor expansion of J in J 20.690 * [backup-simplify]: Simplify 0 into 0 20.690 * [backup-simplify]: Simplify 1 into 1 20.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 20.690 * [backup-simplify]: Simplify (* 1 1) into 1 20.690 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 20.691 * [backup-simplify]: Simplify (+ 0) into 0 20.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.693 * [backup-simplify]: Simplify (- 0) into 0 20.694 * [backup-simplify]: Simplify (+ 0 0) into 0 20.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 20.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 20.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 20.696 * [taylor]: Taking taylor expansion of 0 in K 20.696 * [backup-simplify]: Simplify 0 into 0 20.696 * [backup-simplify]: Simplify 0 into 0 20.696 * [taylor]: Taking taylor expansion of 0 in K 20.696 * [backup-simplify]: Simplify 0 into 0 20.696 * [backup-simplify]: Simplify 0 into 0 20.696 * [taylor]: Taking taylor expansion of 0 in K 20.696 * [backup-simplify]: Simplify 0 into 0 20.696 * [backup-simplify]: Simplify 0 into 0 20.696 * [backup-simplify]: Simplify 0 into 0 20.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.699 * [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 20.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.703 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.703 * [backup-simplify]: Simplify (- 0) into 0 20.703 * [backup-simplify]: Simplify (+ 0 0) into 0 20.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 20.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 20.707 * [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 20.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.708 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.709 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.709 * [backup-simplify]: Simplify (- 0) into 0 20.709 * [backup-simplify]: Simplify (+ 0 0) into 0 20.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.710 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 20.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 20.712 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 20.712 * [backup-simplify]: Simplify (+ 0 0) into 0 20.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.713 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.714 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.715 * [backup-simplify]: Simplify (- 0) into 0 20.715 * [backup-simplify]: Simplify (+ 0 0) into 0 20.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 20.716 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 20.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 20.717 * [taylor]: Taking taylor expansion of 0 in J 20.717 * [backup-simplify]: Simplify 0 into 0 20.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.718 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.719 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.719 * [backup-simplify]: Simplify (- 0) into 0 20.719 * [backup-simplify]: Simplify (+ 0 0) into 0 20.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 20.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 20.721 * [taylor]: Taking taylor expansion of 0 in K 20.721 * [backup-simplify]: Simplify 0 into 0 20.722 * [backup-simplify]: Simplify 0 into 0 20.722 * [taylor]: Taking taylor expansion of 0 in K 20.722 * [backup-simplify]: Simplify 0 into 0 20.722 * [backup-simplify]: Simplify 0 into 0 20.722 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 20.722 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 20.722 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 20.722 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 20.722 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 20.722 * [taylor]: Taking taylor expansion of -2 in K 20.722 * [backup-simplify]: Simplify -2 into -2 20.722 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 20.722 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.722 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.722 * [taylor]: Taking taylor expansion of 1/2 in K 20.722 * [backup-simplify]: Simplify 1/2 into 1/2 20.722 * [taylor]: Taking taylor expansion of K in K 20.722 * [backup-simplify]: Simplify 0 into 0 20.722 * [backup-simplify]: Simplify 1 into 1 20.722 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.723 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.723 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 20.723 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.723 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 20.723 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.723 * [taylor]: Taking taylor expansion of 1 in K 20.723 * [backup-simplify]: Simplify 1 into 1 20.723 * [taylor]: Taking taylor expansion of 1 in K 20.723 * [backup-simplify]: Simplify 1 into 1 20.723 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.723 * [taylor]: Taking taylor expansion of 1/2 in K 20.723 * [backup-simplify]: Simplify 1/2 into 1/2 20.723 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.723 * [taylor]: Taking taylor expansion of U in K 20.723 * [backup-simplify]: Simplify U into U 20.723 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.723 * [taylor]: Taking taylor expansion of 1/2 in K 20.723 * [backup-simplify]: Simplify 1/2 into 1/2 20.723 * [taylor]: Taking taylor expansion of K in K 20.723 * [backup-simplify]: Simplify 0 into 0 20.723 * [backup-simplify]: Simplify 1 into 1 20.724 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.724 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.724 * [taylor]: Taking taylor expansion of J in K 20.724 * [backup-simplify]: Simplify J into J 20.724 * [backup-simplify]: Simplify (* 1 J) into J 20.724 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.724 * [taylor]: Taking taylor expansion of 1/2 in K 20.724 * [backup-simplify]: Simplify 1/2 into 1/2 20.724 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.724 * [taylor]: Taking taylor expansion of U in K 20.724 * [backup-simplify]: Simplify U into U 20.724 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.724 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.724 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.724 * [taylor]: Taking taylor expansion of 1/2 in K 20.724 * [backup-simplify]: Simplify 1/2 into 1/2 20.724 * [taylor]: Taking taylor expansion of K in K 20.724 * [backup-simplify]: Simplify 0 into 0 20.724 * [backup-simplify]: Simplify 1 into 1 20.725 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.725 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.725 * [taylor]: Taking taylor expansion of J in K 20.725 * [backup-simplify]: Simplify J into J 20.725 * [backup-simplify]: Simplify (* 1 J) into J 20.725 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.725 * [backup-simplify]: Simplify (* 1 1) into 1 20.725 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.726 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.726 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 20.726 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 20.726 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 20.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.727 * [backup-simplify]: Simplify (+ 0) into 0 20.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.727 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.728 * [backup-simplify]: Simplify (+ 0) into 0 20.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.728 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.728 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 20.729 * [backup-simplify]: Simplify (+ 0 0) into 0 20.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 20.729 * [taylor]: Taking taylor expansion of J in K 20.729 * [backup-simplify]: Simplify J into J 20.729 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 20.729 * [taylor]: Taking taylor expansion of -2 in J 20.729 * [backup-simplify]: Simplify -2 into -2 20.729 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 20.729 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.729 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.729 * [taylor]: Taking taylor expansion of 1/2 in J 20.729 * [backup-simplify]: Simplify 1/2 into 1/2 20.729 * [taylor]: Taking taylor expansion of K in J 20.729 * [backup-simplify]: Simplify K into K 20.729 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.729 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.729 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.729 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 20.729 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.729 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.729 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 20.729 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.729 * [taylor]: Taking taylor expansion of 1 in J 20.729 * [backup-simplify]: Simplify 1 into 1 20.729 * [taylor]: Taking taylor expansion of 1 in J 20.729 * [backup-simplify]: Simplify 1 into 1 20.729 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.730 * [taylor]: Taking taylor expansion of 1/2 in J 20.730 * [backup-simplify]: Simplify 1/2 into 1/2 20.730 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.730 * [taylor]: Taking taylor expansion of U in J 20.730 * [backup-simplify]: Simplify U into U 20.730 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.730 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.730 * [taylor]: Taking taylor expansion of 1/2 in J 20.730 * [backup-simplify]: Simplify 1/2 into 1/2 20.730 * [taylor]: Taking taylor expansion of K in J 20.730 * [backup-simplify]: Simplify K into K 20.730 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.730 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.730 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.730 * [taylor]: Taking taylor expansion of J in J 20.730 * [backup-simplify]: Simplify 0 into 0 20.730 * [backup-simplify]: Simplify 1 into 1 20.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.730 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.731 * [backup-simplify]: Simplify (- 0) into 0 20.731 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.731 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.731 * [backup-simplify]: Simplify (+ 0) into 0 20.732 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.734 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.734 * [backup-simplify]: Simplify (- 0) into 0 20.734 * [backup-simplify]: Simplify (+ 0 0) into 0 20.735 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.735 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 20.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.735 * [taylor]: Taking taylor expansion of 1/2 in J 20.735 * [backup-simplify]: Simplify 1/2 into 1/2 20.735 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.735 * [taylor]: Taking taylor expansion of U in J 20.735 * [backup-simplify]: Simplify U into U 20.735 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.735 * [taylor]: Taking taylor expansion of 1/2 in J 20.735 * [backup-simplify]: Simplify 1/2 into 1/2 20.735 * [taylor]: Taking taylor expansion of K in J 20.735 * [backup-simplify]: Simplify K into K 20.735 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.735 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.735 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.735 * [taylor]: Taking taylor expansion of J in J 20.735 * [backup-simplify]: Simplify 0 into 0 20.735 * [backup-simplify]: Simplify 1 into 1 20.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.736 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.736 * [backup-simplify]: Simplify (- 0) into 0 20.736 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.737 * [backup-simplify]: Simplify (+ 0) into 0 20.737 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.739 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.739 * [backup-simplify]: Simplify (- 0) into 0 20.740 * [backup-simplify]: Simplify (+ 0 0) into 0 20.740 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.740 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 20.740 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.741 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.741 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 20.741 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 20.741 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 20.742 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.743 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.745 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.746 * [backup-simplify]: Simplify (- 0) into 0 20.746 * [backup-simplify]: Simplify (+ 0 0) into 0 20.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.747 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 20.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.750 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.752 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.752 * [backup-simplify]: Simplify (- 0) into 0 20.753 * [backup-simplify]: Simplify (+ 0 0) into 0 20.754 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.754 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 20.755 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 20.755 * [backup-simplify]: Simplify (+ 0 0) into 0 20.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 20.756 * [taylor]: Taking taylor expansion of J in J 20.756 * [backup-simplify]: Simplify 0 into 0 20.756 * [backup-simplify]: Simplify 1 into 1 20.756 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 20.756 * [taylor]: Taking taylor expansion of -2 in U 20.756 * [backup-simplify]: Simplify -2 into -2 20.756 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 20.756 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.756 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.756 * [taylor]: Taking taylor expansion of 1/2 in U 20.756 * [backup-simplify]: Simplify 1/2 into 1/2 20.756 * [taylor]: Taking taylor expansion of K in U 20.756 * [backup-simplify]: Simplify K into K 20.756 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.756 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.756 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.756 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 20.756 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.756 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.756 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 20.756 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.756 * [taylor]: Taking taylor expansion of 1 in U 20.756 * [backup-simplify]: Simplify 1 into 1 20.756 * [taylor]: Taking taylor expansion of 1 in U 20.756 * [backup-simplify]: Simplify 1 into 1 20.757 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.757 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.757 * [taylor]: Taking taylor expansion of 1/2 in U 20.757 * [backup-simplify]: Simplify 1/2 into 1/2 20.757 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.757 * [taylor]: Taking taylor expansion of U in U 20.757 * [backup-simplify]: Simplify 0 into 0 20.757 * [backup-simplify]: Simplify 1 into 1 20.757 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.757 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.757 * [taylor]: Taking taylor expansion of 1/2 in U 20.757 * [backup-simplify]: Simplify 1/2 into 1/2 20.757 * [taylor]: Taking taylor expansion of K in U 20.757 * [backup-simplify]: Simplify K into K 20.757 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.757 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.757 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.757 * [taylor]: Taking taylor expansion of J in U 20.757 * [backup-simplify]: Simplify J into J 20.757 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.757 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.758 * [backup-simplify]: Simplify (- 0) into 0 20.758 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.758 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.758 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.758 * [taylor]: Taking taylor expansion of 1/2 in U 20.758 * [backup-simplify]: Simplify 1/2 into 1/2 20.758 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.758 * [taylor]: Taking taylor expansion of U in U 20.758 * [backup-simplify]: Simplify 0 into 0 20.758 * [backup-simplify]: Simplify 1 into 1 20.758 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.758 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.758 * [taylor]: Taking taylor expansion of 1/2 in U 20.758 * [backup-simplify]: Simplify 1/2 into 1/2 20.758 * [taylor]: Taking taylor expansion of K in U 20.758 * [backup-simplify]: Simplify K into K 20.759 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.759 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.759 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.759 * [taylor]: Taking taylor expansion of J in U 20.759 * [backup-simplify]: Simplify J into J 20.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.759 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.759 * [backup-simplify]: Simplify (- 0) into 0 20.759 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.760 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.760 * [backup-simplify]: Simplify (* 1 1) into 1 20.760 * [backup-simplify]: Simplify (+ 1 0) into 1 20.761 * [backup-simplify]: Simplify (sqrt 1) into 1 20.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.762 * [backup-simplify]: Simplify (+ 0 0) into 0 20.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.763 * [taylor]: Taking taylor expansion of J in U 20.763 * [backup-simplify]: Simplify J into J 20.763 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 20.763 * [taylor]: Taking taylor expansion of -2 in U 20.763 * [backup-simplify]: Simplify -2 into -2 20.763 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 20.763 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.763 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.763 * [taylor]: Taking taylor expansion of 1/2 in U 20.763 * [backup-simplify]: Simplify 1/2 into 1/2 20.763 * [taylor]: Taking taylor expansion of K in U 20.763 * [backup-simplify]: Simplify K into K 20.763 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.763 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.763 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.763 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 20.763 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.763 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.763 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 20.763 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.763 * [taylor]: Taking taylor expansion of 1 in U 20.763 * [backup-simplify]: Simplify 1 into 1 20.763 * [taylor]: Taking taylor expansion of 1 in U 20.763 * [backup-simplify]: Simplify 1 into 1 20.763 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.763 * [taylor]: Taking taylor expansion of 1/2 in U 20.763 * [backup-simplify]: Simplify 1/2 into 1/2 20.763 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.764 * [taylor]: Taking taylor expansion of U in U 20.764 * [backup-simplify]: Simplify 0 into 0 20.764 * [backup-simplify]: Simplify 1 into 1 20.764 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.764 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.764 * [taylor]: Taking taylor expansion of 1/2 in U 20.764 * [backup-simplify]: Simplify 1/2 into 1/2 20.764 * [taylor]: Taking taylor expansion of K in U 20.764 * [backup-simplify]: Simplify K into K 20.764 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.764 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.764 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.764 * [taylor]: Taking taylor expansion of J in U 20.764 * [backup-simplify]: Simplify J into J 20.764 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.764 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.765 * [backup-simplify]: Simplify (- 0) into 0 20.765 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.765 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.765 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.765 * [taylor]: Taking taylor expansion of 1/2 in U 20.765 * [backup-simplify]: Simplify 1/2 into 1/2 20.765 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.765 * [taylor]: Taking taylor expansion of U in U 20.765 * [backup-simplify]: Simplify 0 into 0 20.765 * [backup-simplify]: Simplify 1 into 1 20.765 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.765 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.765 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.765 * [taylor]: Taking taylor expansion of 1/2 in U 20.765 * [backup-simplify]: Simplify 1/2 into 1/2 20.765 * [taylor]: Taking taylor expansion of K in U 20.765 * [backup-simplify]: Simplify K into K 20.765 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.765 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.765 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.765 * [taylor]: Taking taylor expansion of J in U 20.765 * [backup-simplify]: Simplify J into J 20.765 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.766 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.766 * [backup-simplify]: Simplify (- 0) into 0 20.766 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.766 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.766 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.767 * [backup-simplify]: Simplify (* 1 1) into 1 20.767 * [backup-simplify]: Simplify (+ 1 0) into 1 20.767 * [backup-simplify]: Simplify (sqrt 1) into 1 20.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.768 * [backup-simplify]: Simplify (+ 0 0) into 0 20.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.769 * [taylor]: Taking taylor expansion of J in U 20.769 * [backup-simplify]: Simplify J into J 20.769 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.769 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.770 * [backup-simplify]: Simplify (- 0) into 0 20.770 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.770 * [backup-simplify]: Simplify (* 1 J) into J 20.770 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.770 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 20.770 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 20.770 * [taylor]: Taking taylor expansion of -2 in J 20.770 * [backup-simplify]: Simplify -2 into -2 20.770 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.770 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.770 * [taylor]: Taking taylor expansion of 1/2 in J 20.770 * [backup-simplify]: Simplify 1/2 into 1/2 20.770 * [taylor]: Taking taylor expansion of K in J 20.770 * [backup-simplify]: Simplify K into K 20.770 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.770 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.770 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.770 * [taylor]: Taking taylor expansion of J in J 20.770 * [backup-simplify]: Simplify 0 into 0 20.771 * [backup-simplify]: Simplify 1 into 1 20.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.771 * [backup-simplify]: Simplify (+ 0) into 0 20.772 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.773 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.774 * [backup-simplify]: Simplify (- 0) into 0 20.774 * [backup-simplify]: Simplify (+ 0 0) into 0 20.774 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.775 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 20.775 * [taylor]: Taking taylor expansion of 0 in J 20.775 * [backup-simplify]: Simplify 0 into 0 20.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.775 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.775 * [backup-simplify]: Simplify (- 0) into 0 20.775 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.776 * [backup-simplify]: Simplify (* -2 0) into 0 20.776 * [taylor]: Taking taylor expansion of 0 in K 20.776 * [backup-simplify]: Simplify 0 into 0 20.776 * [backup-simplify]: Simplify 0 into 0 20.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.777 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 20.777 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 20.777 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 20.777 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 20.779 * [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))) 20.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 20.780 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.781 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.782 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.782 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.782 * [backup-simplify]: Simplify (- 0) into 0 20.783 * [backup-simplify]: Simplify (+ 0 0) into 0 20.783 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 20.783 * [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)))) 20.783 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 20.783 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 20.783 * [taylor]: Taking taylor expansion of 1/4 in J 20.783 * [backup-simplify]: Simplify 1/4 into 1/4 20.783 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 20.783 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.783 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.784 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.784 * [taylor]: Taking taylor expansion of 1/2 in J 20.784 * [backup-simplify]: Simplify 1/2 into 1/2 20.784 * [taylor]: Taking taylor expansion of K in J 20.784 * [backup-simplify]: Simplify K into K 20.784 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.784 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.784 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.784 * [taylor]: Taking taylor expansion of J in J 20.784 * [backup-simplify]: Simplify 0 into 0 20.784 * [backup-simplify]: Simplify 1 into 1 20.784 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.784 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.784 * [backup-simplify]: Simplify (- 0) into 0 20.784 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.784 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.784 * [backup-simplify]: Simplify (+ 0) into 0 20.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.786 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.786 * [backup-simplify]: Simplify (- 0) into 0 20.787 * [backup-simplify]: Simplify (+ 0 0) into 0 20.787 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.787 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 20.787 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 20.787 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 20.787 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 20.787 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 20.787 * [taylor]: Taking taylor expansion of 1/4 in K 20.787 * [backup-simplify]: Simplify 1/4 into 1/4 20.787 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 20.787 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.787 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.787 * [taylor]: Taking taylor expansion of 1/2 in K 20.787 * [backup-simplify]: Simplify 1/2 into 1/2 20.787 * [taylor]: Taking taylor expansion of K in K 20.787 * [backup-simplify]: Simplify 0 into 0 20.787 * [backup-simplify]: Simplify 1 into 1 20.787 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.788 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.788 * [backup-simplify]: Simplify (/ 1 1) into 1 20.788 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 20.789 * [backup-simplify]: Simplify (- 1/4) into -1/4 20.789 * [backup-simplify]: Simplify -1/4 into -1/4 20.789 * [taylor]: Taking taylor expansion of 0 in K 20.789 * [backup-simplify]: Simplify 0 into 0 20.789 * [backup-simplify]: Simplify 0 into 0 20.789 * [backup-simplify]: Simplify (+ 0) into 0 20.790 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.791 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.792 * [backup-simplify]: Simplify (- 0) into 0 20.792 * [backup-simplify]: Simplify (+ 0 0) into 0 20.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.793 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 20.793 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 20.793 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 20.793 * [taylor]: Taking taylor expansion of 2 in K 20.793 * [backup-simplify]: Simplify 2 into 2 20.793 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.793 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.793 * [taylor]: Taking taylor expansion of 1/2 in K 20.793 * [backup-simplify]: Simplify 1/2 into 1/2 20.793 * [taylor]: Taking taylor expansion of K in K 20.793 * [backup-simplify]: Simplify 0 into 0 20.793 * [backup-simplify]: Simplify 1 into 1 20.794 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.794 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.795 * [backup-simplify]: Simplify (* 2 1) into 2 20.800 * [backup-simplify]: Simplify (- 2) into -2 20.800 * [backup-simplify]: Simplify -2 into -2 20.800 * [backup-simplify]: Simplify 0 into 0 20.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.802 * [backup-simplify]: Simplify (+ 0) into 0 20.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.805 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.805 * [backup-simplify]: Simplify (- 0) into 0 20.805 * [backup-simplify]: Simplify (+ 0 0) into 0 20.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.805 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 20.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 20.806 * [backup-simplify]: Simplify (+ 0) into 0 20.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.807 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.808 * [backup-simplify]: Simplify (- 0) into 0 20.808 * [backup-simplify]: Simplify (+ 0 0) into 0 20.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 20.808 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 20.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 20.809 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 20.809 * [backup-simplify]: Simplify (+ 0 0) into 0 20.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 20.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 20.811 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 20.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.813 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.813 * [backup-simplify]: Simplify (- 0) into 0 20.813 * [backup-simplify]: Simplify (+ 0 0) into 0 20.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 20.815 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 20.815 * [taylor]: Taking taylor expansion of 0 in J 20.815 * [backup-simplify]: Simplify 0 into 0 20.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.816 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.817 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.817 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.817 * [backup-simplify]: Simplify (- 0) into 0 20.817 * [backup-simplify]: Simplify (+ 0 0) into 0 20.818 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 20.818 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 20.818 * [backup-simplify]: Simplify (- 0) into 0 20.818 * [taylor]: Taking taylor expansion of 0 in K 20.818 * [backup-simplify]: Simplify 0 into 0 20.819 * [backup-simplify]: Simplify 0 into 0 20.819 * [taylor]: Taking taylor expansion of 0 in K 20.819 * [backup-simplify]: Simplify 0 into 0 20.819 * [backup-simplify]: Simplify 0 into 0 20.819 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 20.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.821 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.821 * [backup-simplify]: Simplify (- 0) into 0 20.821 * [backup-simplify]: Simplify (+ 0 0) into 0 20.822 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.822 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 20.822 * [taylor]: Taking taylor expansion of 0 in K 20.822 * [backup-simplify]: Simplify 0 into 0 20.822 * [backup-simplify]: Simplify 0 into 0 20.823 * [backup-simplify]: Simplify (+ 0) into 0 20.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 20.824 * [backup-simplify]: Simplify (- 0) into 0 20.824 * [backup-simplify]: Simplify 0 into 0 20.824 * [backup-simplify]: Simplify 0 into 0 20.824 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 20.824 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 20.824 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 20.824 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 20.824 * [taylor]: Taking taylor expansion of -2 in K 20.824 * [backup-simplify]: Simplify -2 into -2 20.824 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 20.824 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 20.824 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 20.824 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.824 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 20.824 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.825 * [taylor]: Taking taylor expansion of 1 in K 20.825 * [backup-simplify]: Simplify 1 into 1 20.825 * [taylor]: Taking taylor expansion of 1 in K 20.825 * [backup-simplify]: Simplify 1 into 1 20.825 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 20.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 20.825 * [taylor]: Taking taylor expansion of 1/2 in K 20.825 * [backup-simplify]: Simplify 1/2 into 1/2 20.825 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 20.825 * [taylor]: Taking taylor expansion of J in K 20.825 * [backup-simplify]: Simplify J into J 20.825 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 20.825 * [taylor]: Taking taylor expansion of U in K 20.825 * [backup-simplify]: Simplify U into U 20.825 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.825 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.825 * [taylor]: Taking taylor expansion of 1/2 in K 20.825 * [backup-simplify]: Simplify 1/2 into 1/2 20.825 * [taylor]: Taking taylor expansion of K in K 20.825 * [backup-simplify]: Simplify 0 into 0 20.825 * [backup-simplify]: Simplify 1 into 1 20.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.825 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.825 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.825 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 20.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 20.825 * [taylor]: Taking taylor expansion of 1/2 in K 20.825 * [backup-simplify]: Simplify 1/2 into 1/2 20.825 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 20.825 * [taylor]: Taking taylor expansion of J in K 20.825 * [backup-simplify]: Simplify J into J 20.825 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 20.825 * [taylor]: Taking taylor expansion of U in K 20.825 * [backup-simplify]: Simplify U into U 20.825 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.826 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.826 * [taylor]: Taking taylor expansion of 1/2 in K 20.826 * [backup-simplify]: Simplify 1/2 into 1/2 20.826 * [taylor]: Taking taylor expansion of K in K 20.826 * [backup-simplify]: Simplify 0 into 0 20.826 * [backup-simplify]: Simplify 1 into 1 20.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.826 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.826 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.826 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 20.826 * [backup-simplify]: Simplify (* 1 1) into 1 20.826 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 20.826 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 20.827 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 20.827 * [backup-simplify]: Simplify (+ 1 (* 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) 20.827 * [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)) 20.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.828 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 20.828 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 20.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 20.828 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 20.828 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 20.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 20.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 20.829 * [backup-simplify]: Simplify (+ 0 0) into 0 20.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 20.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 20.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 20.829 * [taylor]: Taking taylor expansion of 1/2 in K 20.830 * [backup-simplify]: Simplify 1/2 into 1/2 20.830 * [taylor]: Taking taylor expansion of K in K 20.830 * [backup-simplify]: Simplify 0 into 0 20.830 * [backup-simplify]: Simplify 1 into 1 20.830 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.830 * [taylor]: Taking taylor expansion of J in K 20.830 * [backup-simplify]: Simplify J into J 20.830 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 20.830 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 20.830 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 20.831 * [taylor]: Taking taylor expansion of -2 in J 20.831 * [backup-simplify]: Simplify -2 into -2 20.831 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 20.831 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 20.831 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 20.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.831 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 20.831 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.831 * [taylor]: Taking taylor expansion of 1 in J 20.831 * [backup-simplify]: Simplify 1 into 1 20.831 * [taylor]: Taking taylor expansion of 1 in J 20.831 * [backup-simplify]: Simplify 1 into 1 20.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 20.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 20.831 * [taylor]: Taking taylor expansion of 1/2 in J 20.831 * [backup-simplify]: Simplify 1/2 into 1/2 20.831 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 20.831 * [taylor]: Taking taylor expansion of J in J 20.831 * [backup-simplify]: Simplify 0 into 0 20.831 * [backup-simplify]: Simplify 1 into 1 20.831 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 20.831 * [taylor]: Taking taylor expansion of U in J 20.831 * [backup-simplify]: Simplify U into U 20.831 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.831 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.831 * [taylor]: Taking taylor expansion of 1/2 in J 20.831 * [backup-simplify]: Simplify 1/2 into 1/2 20.831 * [taylor]: Taking taylor expansion of K in J 20.831 * [backup-simplify]: Simplify K into K 20.831 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.831 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.831 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.831 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.832 * [backup-simplify]: Simplify (- 0) into 0 20.832 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.832 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.832 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 20.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 20.832 * [taylor]: Taking taylor expansion of 1/2 in J 20.832 * [backup-simplify]: Simplify 1/2 into 1/2 20.832 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 20.832 * [taylor]: Taking taylor expansion of J in J 20.832 * [backup-simplify]: Simplify 0 into 0 20.832 * [backup-simplify]: Simplify 1 into 1 20.832 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 20.832 * [taylor]: Taking taylor expansion of U in J 20.832 * [backup-simplify]: Simplify U into U 20.832 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.832 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.832 * [taylor]: Taking taylor expansion of 1/2 in J 20.832 * [backup-simplify]: Simplify 1/2 into 1/2 20.832 * [taylor]: Taking taylor expansion of K in J 20.832 * [backup-simplify]: Simplify K into K 20.832 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.832 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.832 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.832 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.832 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.832 * [backup-simplify]: Simplify (- 0) into 0 20.833 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.833 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 20.833 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 20.833 * [backup-simplify]: Simplify (* 1 1) into 1 20.833 * [backup-simplify]: Simplify (+ 1 0) into 1 20.834 * [backup-simplify]: Simplify (sqrt 1) into 1 20.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.835 * [backup-simplify]: Simplify (+ 0 0) into 0 20.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.835 * [taylor]: Taking taylor expansion of 1/2 in J 20.835 * [backup-simplify]: Simplify 1/2 into 1/2 20.835 * [taylor]: Taking taylor expansion of K in J 20.835 * [backup-simplify]: Simplify K into K 20.835 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.836 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.836 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.836 * [taylor]: Taking taylor expansion of J in J 20.836 * [backup-simplify]: Simplify 0 into 0 20.836 * [backup-simplify]: Simplify 1 into 1 20.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.836 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.836 * [backup-simplify]: Simplify (- 0) into 0 20.836 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.836 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 20.837 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.837 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 20.837 * [taylor]: Taking taylor expansion of -2 in U 20.837 * [backup-simplify]: Simplify -2 into -2 20.837 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 20.837 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 20.837 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.837 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.837 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 20.837 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.837 * [taylor]: Taking taylor expansion of 1 in U 20.837 * [backup-simplify]: Simplify 1 into 1 20.837 * [taylor]: Taking taylor expansion of 1 in U 20.837 * [backup-simplify]: Simplify 1 into 1 20.837 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.837 * [taylor]: Taking taylor expansion of 1/2 in U 20.837 * [backup-simplify]: Simplify 1/2 into 1/2 20.837 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.837 * [taylor]: Taking taylor expansion of J in U 20.837 * [backup-simplify]: Simplify J into J 20.837 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.837 * [taylor]: Taking taylor expansion of U in U 20.837 * [backup-simplify]: Simplify 0 into 0 20.837 * [backup-simplify]: Simplify 1 into 1 20.837 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.837 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.837 * [taylor]: Taking taylor expansion of 1/2 in U 20.837 * [backup-simplify]: Simplify 1/2 into 1/2 20.837 * [taylor]: Taking taylor expansion of K in U 20.837 * [backup-simplify]: Simplify K into K 20.837 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.837 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.838 * [backup-simplify]: Simplify (- 0) into 0 20.838 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.838 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.839 * [backup-simplify]: Simplify (+ 0) into 0 20.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.840 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.841 * [backup-simplify]: Simplify (- 0) into 0 20.841 * [backup-simplify]: Simplify (+ 0 0) into 0 20.842 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.842 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.842 * [taylor]: Taking taylor expansion of 1/2 in U 20.842 * [backup-simplify]: Simplify 1/2 into 1/2 20.842 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.842 * [taylor]: Taking taylor expansion of J in U 20.842 * [backup-simplify]: Simplify J into J 20.842 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.842 * [taylor]: Taking taylor expansion of U in U 20.842 * [backup-simplify]: Simplify 0 into 0 20.842 * [backup-simplify]: Simplify 1 into 1 20.842 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.842 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.842 * [taylor]: Taking taylor expansion of 1/2 in U 20.842 * [backup-simplify]: Simplify 1/2 into 1/2 20.842 * [taylor]: Taking taylor expansion of K in U 20.842 * [backup-simplify]: Simplify K into K 20.842 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.842 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.842 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.842 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.843 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.843 * [backup-simplify]: Simplify (- 0) into 0 20.843 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.843 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.843 * [backup-simplify]: Simplify (+ 0) into 0 20.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.846 * [backup-simplify]: Simplify (- 0) into 0 20.846 * [backup-simplify]: Simplify (+ 0 0) into 0 20.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.847 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.847 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.847 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.847 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 20.848 * [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))) 20.848 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.850 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.850 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.851 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.851 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.852 * [backup-simplify]: Simplify (- 0) into 0 20.852 * [backup-simplify]: Simplify (+ 0 0) into 0 20.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.853 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.857 * [backup-simplify]: Simplify (- 0) into 0 20.858 * [backup-simplify]: Simplify (+ 0 0) into 0 20.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.859 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.859 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.860 * [backup-simplify]: Simplify (+ 0 0) into 0 20.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 20.860 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.860 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.860 * [taylor]: Taking taylor expansion of 1/2 in U 20.860 * [backup-simplify]: Simplify 1/2 into 1/2 20.860 * [taylor]: Taking taylor expansion of K in U 20.860 * [backup-simplify]: Simplify K into K 20.860 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.860 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.861 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.861 * [taylor]: Taking taylor expansion of J in U 20.861 * [backup-simplify]: Simplify J into J 20.861 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.861 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.861 * [backup-simplify]: Simplify (- 0) into 0 20.861 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.861 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 20.862 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.862 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 20.862 * [taylor]: Taking taylor expansion of -2 in U 20.862 * [backup-simplify]: Simplify -2 into -2 20.862 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 20.862 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 20.862 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 20.862 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 20.862 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.862 * [taylor]: Taking taylor expansion of 1 in U 20.862 * [backup-simplify]: Simplify 1 into 1 20.862 * [taylor]: Taking taylor expansion of 1 in U 20.862 * [backup-simplify]: Simplify 1 into 1 20.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 20.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.862 * [taylor]: Taking taylor expansion of 1/2 in U 20.862 * [backup-simplify]: Simplify 1/2 into 1/2 20.862 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.862 * [taylor]: Taking taylor expansion of J in U 20.862 * [backup-simplify]: Simplify J into J 20.862 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.862 * [taylor]: Taking taylor expansion of U in U 20.862 * [backup-simplify]: Simplify 0 into 0 20.862 * [backup-simplify]: Simplify 1 into 1 20.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.862 * [taylor]: Taking taylor expansion of 1/2 in U 20.862 * [backup-simplify]: Simplify 1/2 into 1/2 20.862 * [taylor]: Taking taylor expansion of K in U 20.862 * [backup-simplify]: Simplify K into K 20.862 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.863 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.863 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.863 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.863 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.863 * [backup-simplify]: Simplify (- 0) into 0 20.863 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.863 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.864 * [backup-simplify]: Simplify (+ 0) into 0 20.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.866 * [backup-simplify]: Simplify (- 0) into 0 20.866 * [backup-simplify]: Simplify (+ 0 0) into 0 20.866 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.866 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 20.866 * [taylor]: Taking taylor expansion of 1/2 in U 20.866 * [backup-simplify]: Simplify 1/2 into 1/2 20.866 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 20.866 * [taylor]: Taking taylor expansion of J in U 20.866 * [backup-simplify]: Simplify J into J 20.866 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 20.866 * [taylor]: Taking taylor expansion of U in U 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [backup-simplify]: Simplify 1 into 1 20.866 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.866 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.866 * [taylor]: Taking taylor expansion of 1/2 in U 20.866 * [backup-simplify]: Simplify 1/2 into 1/2 20.867 * [taylor]: Taking taylor expansion of K in U 20.867 * [backup-simplify]: Simplify K into K 20.867 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.867 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.867 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.867 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.867 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.867 * [backup-simplify]: Simplify (- 0) into 0 20.867 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.867 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 20.867 * [backup-simplify]: Simplify (+ 0) into 0 20.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.868 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.869 * [backup-simplify]: Simplify (- 0) into 0 20.869 * [backup-simplify]: Simplify (+ 0 0) into 0 20.869 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 20.869 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 20.869 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.869 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.870 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 20.870 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 20.870 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 20.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.871 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.872 * [backup-simplify]: Simplify (- 0) into 0 20.872 * [backup-simplify]: Simplify (+ 0 0) into 0 20.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.873 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.874 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.874 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.875 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.875 * [backup-simplify]: Simplify (- 0) into 0 20.876 * [backup-simplify]: Simplify (+ 0 0) into 0 20.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 20.876 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 20.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 20.877 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.877 * [backup-simplify]: Simplify (+ 0 0) into 0 20.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 20.877 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 20.877 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 20.877 * [taylor]: Taking taylor expansion of 1/2 in U 20.877 * [backup-simplify]: Simplify 1/2 into 1/2 20.878 * [taylor]: Taking taylor expansion of K in U 20.878 * [backup-simplify]: Simplify K into K 20.878 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.878 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.878 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.878 * [taylor]: Taking taylor expansion of J in U 20.878 * [backup-simplify]: Simplify J into J 20.878 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.878 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.878 * [backup-simplify]: Simplify (- 0) into 0 20.878 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.878 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 20.878 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.879 * [backup-simplify]: Simplify (* -2 1/2) into -1 20.879 * [taylor]: Taking taylor expansion of -1 in J 20.879 * [backup-simplify]: Simplify -1 into -1 20.879 * [backup-simplify]: Simplify (+ 0) into 0 20.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.880 * [backup-simplify]: Simplify (- 0) into 0 20.881 * [backup-simplify]: Simplify (+ 0 0) into 0 20.881 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 20.881 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 20.881 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 20.881 * [taylor]: Taking taylor expansion of 0 in J 20.881 * [backup-simplify]: Simplify 0 into 0 20.881 * [taylor]: Taking taylor expansion of -1 in K 20.881 * [backup-simplify]: Simplify -1 into -1 20.881 * [backup-simplify]: Simplify -1 into -1 20.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.883 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.883 * [backup-simplify]: Simplify (- 0) into 0 20.884 * [backup-simplify]: Simplify (+ 0 0) into 0 20.884 * [backup-simplify]: Simplify (* 1 1) into 1 20.884 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.885 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.886 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.886 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.887 * [backup-simplify]: Simplify (- 0) into 0 20.887 * [backup-simplify]: Simplify (+ 0 0) into 0 20.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.888 * [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 20.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 20.889 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.891 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.891 * [backup-simplify]: Simplify (- 0) into 0 20.891 * [backup-simplify]: Simplify (+ 0 0) into 0 20.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.892 * [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 20.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 20.893 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 20.894 * [backup-simplify]: Simplify (+ 1 0) into 1 20.894 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 20.895 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 20.895 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 20.895 * [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)))) 20.896 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 20.896 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 20.896 * [taylor]: Taking taylor expansion of 2 in J 20.896 * [backup-simplify]: Simplify 2 into 2 20.896 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 20.896 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 20.896 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 20.896 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 20.896 * [taylor]: Taking taylor expansion of 1/2 in J 20.896 * [backup-simplify]: Simplify 1/2 into 1/2 20.896 * [taylor]: Taking taylor expansion of K in J 20.896 * [backup-simplify]: Simplify K into K 20.896 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.896 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 20.896 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 20.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 20.896 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 20.896 * [backup-simplify]: Simplify (- 0) into 0 20.897 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 20.897 * [taylor]: Taking taylor expansion of (pow J 2) in J 20.897 * [taylor]: Taking taylor expansion of J in J 20.897 * [backup-simplify]: Simplify 0 into 0 20.897 * [backup-simplify]: Simplify 1 into 1 20.897 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 20.897 * [backup-simplify]: Simplify (* 1 1) into 1 20.897 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 20.897 * [backup-simplify]: Simplify (+ 0) into 0 20.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 20.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 20.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 20.900 * [backup-simplify]: Simplify (- 0) into 0 20.900 * [backup-simplify]: Simplify (+ 0 0) into 0 20.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 20.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 20.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 20.903 * [backup-simplify]: Simplify (- 0) into 0 20.903 * [taylor]: Taking taylor expansion of 0 in K 20.903 * [backup-simplify]: Simplify 0 into 0 20.903 * [backup-simplify]: Simplify 0 into 0 20.903 * [taylor]: Taking taylor expansion of 0 in K 20.903 * [backup-simplify]: Simplify 0 into 0 20.903 * [backup-simplify]: Simplify 0 into 0 20.903 * [taylor]: Taking taylor expansion of 0 in K 20.903 * [backup-simplify]: Simplify 0 into 0 20.903 * [backup-simplify]: Simplify 0 into 0 20.903 * [backup-simplify]: Simplify 0 into 0 20.904 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.905 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.912 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.913 * [backup-simplify]: Simplify (- 0) into 0 20.913 * [backup-simplify]: Simplify (+ 0 0) into 0 20.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.916 * [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 20.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.918 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.919 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.920 * [backup-simplify]: Simplify (- 0) into 0 20.921 * [backup-simplify]: Simplify (+ 0 0) into 0 20.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 20.923 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 20.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 20.926 * [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 20.927 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.929 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.930 * [backup-simplify]: Simplify (- 0) into 0 20.931 * [backup-simplify]: Simplify (+ 0 0) into 0 20.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 20.933 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 20.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 20.935 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 20.935 * [backup-simplify]: Simplify (+ 0 0) into 0 20.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 20.936 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 20.936 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 20.938 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 20.938 * [taylor]: Taking taylor expansion of 0 in J 20.938 * [backup-simplify]: Simplify 0 into 0 20.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.940 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.941 * [backup-simplify]: Simplify (- 0) into 0 20.942 * [backup-simplify]: Simplify (+ 0 0) into 0 20.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 20.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 20.946 * [backup-simplify]: Simplify (- 0) into 0 20.946 * [taylor]: Taking taylor expansion of 0 in K 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [taylor]: Taking taylor expansion of 0 in K 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 20.947 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 20.947 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 20.947 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 20.947 * [taylor]: Taking taylor expansion of 2 in K 20.947 * [backup-simplify]: Simplify 2 into 2 20.947 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 20.947 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 20.947 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.947 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.947 * [taylor]: Taking taylor expansion of -1/2 in K 20.947 * [backup-simplify]: Simplify -1/2 into -1/2 20.947 * [taylor]: Taking taylor expansion of K in K 20.947 * [backup-simplify]: Simplify 0 into 0 20.947 * [backup-simplify]: Simplify 1 into 1 20.947 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.948 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.948 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 20.948 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.948 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 20.948 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.948 * [taylor]: Taking taylor expansion of 1 in K 20.948 * [backup-simplify]: Simplify 1 into 1 20.948 * [taylor]: Taking taylor expansion of 1 in K 20.948 * [backup-simplify]: Simplify 1 into 1 20.948 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 20.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 20.948 * [taylor]: Taking taylor expansion of 1/2 in K 20.948 * [backup-simplify]: Simplify 1/2 into 1/2 20.948 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 20.948 * [taylor]: Taking taylor expansion of J in K 20.948 * [backup-simplify]: Simplify J into J 20.948 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 20.948 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.948 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.948 * [taylor]: Taking taylor expansion of -1/2 in K 20.948 * [backup-simplify]: Simplify -1/2 into -1/2 20.948 * [taylor]: Taking taylor expansion of K in K 20.948 * [backup-simplify]: Simplify 0 into 0 20.948 * [backup-simplify]: Simplify 1 into 1 20.949 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.949 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.949 * [taylor]: Taking taylor expansion of U in K 20.949 * [backup-simplify]: Simplify U into U 20.949 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.949 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 20.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 20.949 * [taylor]: Taking taylor expansion of 1/2 in K 20.949 * [backup-simplify]: Simplify 1/2 into 1/2 20.949 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 20.949 * [taylor]: Taking taylor expansion of J in K 20.949 * [backup-simplify]: Simplify J into J 20.949 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 20.949 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 20.949 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 20.949 * [taylor]: Taking taylor expansion of -1/2 in K 20.949 * [backup-simplify]: Simplify -1/2 into -1/2 20.949 * [taylor]: Taking taylor expansion of K in K 20.949 * [backup-simplify]: Simplify 0 into 0 20.949 * [backup-simplify]: Simplify 1 into 1 20.950 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 20.950 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.950 * [taylor]: Taking taylor expansion of U in K 20.950 * [backup-simplify]: Simplify U into U 20.950 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.950 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 20.951 * [backup-simplify]: Simplify (* 1 1) into 1 20.951 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 20.951 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 20.951 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 20.952 * [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))))) 20.952 * [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)))))) 20.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 20.954 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 20.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 20.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 20.955 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 20.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 20.956 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 20.956 * [backup-simplify]: Simplify (+ 0 0) into 0 20.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 20.956 * [taylor]: Taking taylor expansion of J in K 20.956 * [backup-simplify]: Simplify J into J 20.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 20.957 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 20.957 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 20.957 * [taylor]: Taking taylor expansion of 2 in J 20.958 * [backup-simplify]: Simplify 2 into 2 20.958 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 20.958 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 20.958 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.958 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.958 * [taylor]: Taking taylor expansion of -1/2 in J 20.958 * [backup-simplify]: Simplify -1/2 into -1/2 20.958 * [taylor]: Taking taylor expansion of K in J 20.958 * [backup-simplify]: Simplify K into K 20.958 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.958 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.958 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.958 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 20.958 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.958 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 20.958 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.958 * [taylor]: Taking taylor expansion of 1 in J 20.958 * [backup-simplify]: Simplify 1 into 1 20.958 * [taylor]: Taking taylor expansion of 1 in J 20.958 * [backup-simplify]: Simplify 1 into 1 20.958 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 20.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 20.958 * [taylor]: Taking taylor expansion of 1/2 in J 20.958 * [backup-simplify]: Simplify 1/2 into 1/2 20.958 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 20.958 * [taylor]: Taking taylor expansion of J in J 20.958 * [backup-simplify]: Simplify 0 into 0 20.958 * [backup-simplify]: Simplify 1 into 1 20.958 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 20.958 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.959 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.959 * [taylor]: Taking taylor expansion of -1/2 in J 20.959 * [backup-simplify]: Simplify -1/2 into -1/2 20.959 * [taylor]: Taking taylor expansion of K in J 20.959 * [backup-simplify]: Simplify K into K 20.959 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.959 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.959 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.959 * [taylor]: Taking taylor expansion of U in J 20.959 * [backup-simplify]: Simplify U into U 20.959 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.959 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.960 * [backup-simplify]: Simplify (- 0) into 0 20.960 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.960 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.960 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 20.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 20.960 * [taylor]: Taking taylor expansion of 1/2 in J 20.960 * [backup-simplify]: Simplify 1/2 into 1/2 20.960 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 20.960 * [taylor]: Taking taylor expansion of J in J 20.960 * [backup-simplify]: Simplify 0 into 0 20.960 * [backup-simplify]: Simplify 1 into 1 20.960 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 20.960 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 20.960 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 20.960 * [taylor]: Taking taylor expansion of -1/2 in J 20.960 * [backup-simplify]: Simplify -1/2 into -1/2 20.960 * [taylor]: Taking taylor expansion of K in J 20.960 * [backup-simplify]: Simplify K into K 20.960 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.960 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.960 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.960 * [taylor]: Taking taylor expansion of U in J 20.960 * [backup-simplify]: Simplify U into U 20.961 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.961 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.961 * [backup-simplify]: Simplify (- 0) into 0 20.961 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.961 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 20.961 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 20.962 * [backup-simplify]: Simplify (* 1 1) into 1 20.962 * [backup-simplify]: Simplify (+ 1 0) into 1 20.963 * [backup-simplify]: Simplify (sqrt 1) into 1 20.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.964 * [backup-simplify]: Simplify (+ 0 0) into 0 20.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.964 * [taylor]: Taking taylor expansion of J in J 20.964 * [backup-simplify]: Simplify 0 into 0 20.964 * [backup-simplify]: Simplify 1 into 1 20.965 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.965 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.965 * [backup-simplify]: Simplify (- 0) into 0 20.965 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.965 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.965 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.966 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 20.966 * [taylor]: Taking taylor expansion of 2 in U 20.966 * [backup-simplify]: Simplify 2 into 2 20.966 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 20.966 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.966 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.966 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.966 * [taylor]: Taking taylor expansion of -1/2 in U 20.966 * [backup-simplify]: Simplify -1/2 into -1/2 20.966 * [taylor]: Taking taylor expansion of K in U 20.966 * [backup-simplify]: Simplify K into K 20.966 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.966 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.966 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.966 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.966 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.966 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.966 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.966 * [taylor]: Taking taylor expansion of 1 in U 20.966 * [backup-simplify]: Simplify 1 into 1 20.966 * [taylor]: Taking taylor expansion of 1 in U 20.966 * [backup-simplify]: Simplify 1 into 1 20.966 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.966 * [taylor]: Taking taylor expansion of 1/2 in U 20.966 * [backup-simplify]: Simplify 1/2 into 1/2 20.966 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.966 * [taylor]: Taking taylor expansion of J in U 20.966 * [backup-simplify]: Simplify J into J 20.966 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.967 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.967 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.967 * [taylor]: Taking taylor expansion of -1/2 in U 20.967 * [backup-simplify]: Simplify -1/2 into -1/2 20.967 * [taylor]: Taking taylor expansion of K in U 20.967 * [backup-simplify]: Simplify K into K 20.967 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.967 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.967 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.967 * [taylor]: Taking taylor expansion of U in U 20.967 * [backup-simplify]: Simplify 0 into 0 20.967 * [backup-simplify]: Simplify 1 into 1 20.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.967 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.968 * [backup-simplify]: Simplify (- 0) into 0 20.968 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.968 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.968 * [backup-simplify]: Simplify (+ 0) into 0 20.969 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.969 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.970 * [backup-simplify]: Simplify (- 0) into 0 20.970 * [backup-simplify]: Simplify (+ 0 0) into 0 20.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.971 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.971 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.971 * [taylor]: Taking taylor expansion of 1/2 in U 20.971 * [backup-simplify]: Simplify 1/2 into 1/2 20.971 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.971 * [taylor]: Taking taylor expansion of J in U 20.971 * [backup-simplify]: Simplify J into J 20.971 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.971 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.971 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.971 * [taylor]: Taking taylor expansion of -1/2 in U 20.971 * [backup-simplify]: Simplify -1/2 into -1/2 20.971 * [taylor]: Taking taylor expansion of K in U 20.971 * [backup-simplify]: Simplify K into K 20.971 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.971 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.971 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.971 * [taylor]: Taking taylor expansion of U in U 20.971 * [backup-simplify]: Simplify 0 into 0 20.971 * [backup-simplify]: Simplify 1 into 1 20.971 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.971 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.971 * [backup-simplify]: Simplify (- 0) into 0 20.971 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.971 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.972 * [backup-simplify]: Simplify (+ 0) into 0 20.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.972 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.973 * [backup-simplify]: Simplify (- 0) into 0 20.973 * [backup-simplify]: Simplify (+ 0 0) into 0 20.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.974 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.974 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.974 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.974 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 20.974 * [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))) 20.974 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.977 * [backup-simplify]: Simplify (- 0) into 0 20.977 * [backup-simplify]: Simplify (+ 0 0) into 0 20.977 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.978 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.979 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.979 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.980 * [backup-simplify]: Simplify (- 0) into 0 20.980 * [backup-simplify]: Simplify (+ 0 0) into 0 20.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.981 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.981 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.982 * [backup-simplify]: Simplify (+ 0 0) into 0 20.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 20.982 * [taylor]: Taking taylor expansion of J in U 20.982 * [backup-simplify]: Simplify J into J 20.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.982 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.982 * [backup-simplify]: Simplify (- 0) into 0 20.982 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 20.982 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.982 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 20.982 * [taylor]: Taking taylor expansion of 2 in U 20.982 * [backup-simplify]: Simplify 2 into 2 20.982 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 20.982 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.982 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.982 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.982 * [taylor]: Taking taylor expansion of -1/2 in U 20.982 * [backup-simplify]: Simplify -1/2 into -1/2 20.982 * [taylor]: Taking taylor expansion of K in U 20.983 * [backup-simplify]: Simplify K into K 20.983 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.983 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.983 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.983 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 20.983 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 20.983 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.983 * [taylor]: Taking taylor expansion of 1 in U 20.983 * [backup-simplify]: Simplify 1 into 1 20.983 * [taylor]: Taking taylor expansion of 1 in U 20.983 * [backup-simplify]: Simplify 1 into 1 20.983 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 20.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.983 * [taylor]: Taking taylor expansion of 1/2 in U 20.983 * [backup-simplify]: Simplify 1/2 into 1/2 20.983 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.983 * [taylor]: Taking taylor expansion of J in U 20.983 * [backup-simplify]: Simplify J into J 20.983 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.983 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.983 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.983 * [taylor]: Taking taylor expansion of -1/2 in U 20.983 * [backup-simplify]: Simplify -1/2 into -1/2 20.983 * [taylor]: Taking taylor expansion of K in U 20.983 * [backup-simplify]: Simplify K into K 20.983 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.983 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.983 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.983 * [taylor]: Taking taylor expansion of U in U 20.983 * [backup-simplify]: Simplify 0 into 0 20.983 * [backup-simplify]: Simplify 1 into 1 20.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.983 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.984 * [backup-simplify]: Simplify (- 0) into 0 20.984 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.984 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.984 * [backup-simplify]: Simplify (+ 0) into 0 20.984 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.985 * [backup-simplify]: Simplify (- 0) into 0 20.986 * [backup-simplify]: Simplify (+ 0 0) into 0 20.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.986 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 20.986 * [taylor]: Taking taylor expansion of 1/2 in U 20.986 * [backup-simplify]: Simplify 1/2 into 1/2 20.986 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 20.986 * [taylor]: Taking taylor expansion of J in U 20.986 * [backup-simplify]: Simplify J into J 20.986 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 20.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 20.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 20.986 * [taylor]: Taking taylor expansion of -1/2 in U 20.986 * [backup-simplify]: Simplify -1/2 into -1/2 20.986 * [taylor]: Taking taylor expansion of K in U 20.986 * [backup-simplify]: Simplify K into K 20.986 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 20.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 20.986 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 20.986 * [taylor]: Taking taylor expansion of U in U 20.986 * [backup-simplify]: Simplify 0 into 0 20.986 * [backup-simplify]: Simplify 1 into 1 20.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.986 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.987 * [backup-simplify]: Simplify (- 0) into 0 20.987 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 20.987 * [backup-simplify]: Simplify (+ 0) into 0 20.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.988 * [backup-simplify]: Simplify (- 0) into 0 20.989 * [backup-simplify]: Simplify (+ 0 0) into 0 20.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 20.989 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 20.989 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.989 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.989 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 20.990 * [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))) 20.990 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 20.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.991 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.992 * [backup-simplify]: Simplify (- 0) into 0 20.992 * [backup-simplify]: Simplify (+ 0 0) into 0 20.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.993 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 20.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 20.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 20.995 * [backup-simplify]: Simplify (- 0) into 0 20.995 * [backup-simplify]: Simplify (+ 0 0) into 0 20.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 20.996 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 20.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 20.996 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 20.997 * [backup-simplify]: Simplify (+ 0 0) into 0 20.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 20.997 * [taylor]: Taking taylor expansion of J in U 20.997 * [backup-simplify]: Simplify J into J 20.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 20.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 20.997 * [backup-simplify]: Simplify (- 0) into 0 20.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 20.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 20.997 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 20.998 * [backup-simplify]: Simplify (* 2 1/2) into 1 20.998 * [taylor]: Taking taylor expansion of 1 in J 20.998 * [backup-simplify]: Simplify 1 into 1 20.998 * [backup-simplify]: Simplify (+ 0) into 0 20.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 20.998 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 20.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 20.999 * [backup-simplify]: Simplify (- 0) into 0 21.000 * [backup-simplify]: Simplify (+ 0 0) into 0 21.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 21.000 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 21.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 21.000 * [taylor]: Taking taylor expansion of 0 in J 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 1 in K 21.000 * [backup-simplify]: Simplify 1 into 1 21.000 * [backup-simplify]: Simplify 1 into 1 21.001 * [backup-simplify]: Simplify (* 1 1) into 1 21.001 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.003 * [backup-simplify]: Simplify (- 0) into 0 21.004 * [backup-simplify]: Simplify (+ 0 0) into 0 21.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.004 * [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 21.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 21.005 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.007 * [backup-simplify]: Simplify (- 0) into 0 21.008 * [backup-simplify]: Simplify (+ 0 0) into 0 21.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.008 * [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 21.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 21.009 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 21.010 * [backup-simplify]: Simplify (+ 1 0) into 1 21.010 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 21.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.012 * [backup-simplify]: Simplify (- 0) into 0 21.012 * [backup-simplify]: Simplify (+ 0 0) into 0 21.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 21.013 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 21.014 * [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))) 21.014 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 21.014 * [taylor]: Taking taylor expansion of 2 in J 21.014 * [backup-simplify]: Simplify 2 into 2 21.014 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 21.014 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 21.014 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.014 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.014 * [taylor]: Taking taylor expansion of -1/2 in J 21.014 * [backup-simplify]: Simplify -1/2 into -1/2 21.014 * [taylor]: Taking taylor expansion of K in J 21.014 * [backup-simplify]: Simplify K into K 21.015 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.015 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.015 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.015 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.015 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.015 * [backup-simplify]: Simplify (- 0) into 0 21.015 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.015 * [taylor]: Taking taylor expansion of (pow J 2) in J 21.015 * [taylor]: Taking taylor expansion of J in J 21.015 * [backup-simplify]: Simplify 0 into 0 21.015 * [backup-simplify]: Simplify 1 into 1 21.016 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 21.016 * [backup-simplify]: Simplify (* 1 1) into 1 21.016 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 21.017 * [backup-simplify]: Simplify (+ 0) into 0 21.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.017 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.019 * [backup-simplify]: Simplify (- 0) into 0 21.020 * [backup-simplify]: Simplify (+ 0 0) into 0 21.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 21.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 21.022 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 21.022 * [taylor]: Taking taylor expansion of 0 in K 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [taylor]: Taking taylor expansion of 0 in K 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [taylor]: Taking taylor expansion of 0 in K 21.022 * [backup-simplify]: Simplify 0 into 0 21.023 * [backup-simplify]: Simplify 0 into 0 21.023 * [backup-simplify]: Simplify 0 into 0 21.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.026 * [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 21.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.027 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.033 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 21.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 21.035 * [backup-simplify]: Simplify (- 0) into 0 21.035 * [backup-simplify]: Simplify (+ 0 0) into 0 21.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.037 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 21.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 21.041 * [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 21.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.042 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.043 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 21.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 21.045 * [backup-simplify]: Simplify (- 0) into 0 21.045 * [backup-simplify]: Simplify (+ 0 0) into 0 21.046 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.047 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 21.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 21.049 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 21.050 * [backup-simplify]: Simplify (+ 0 0) into 0 21.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 21.051 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.055 * [backup-simplify]: Simplify (- 0) into 0 21.055 * [backup-simplify]: Simplify (+ 0 0) into 0 21.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 21.056 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 21.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 21.057 * [taylor]: Taking taylor expansion of 0 in J 21.057 * [backup-simplify]: Simplify 0 into 0 21.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.061 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.061 * [backup-simplify]: Simplify (- 0) into 0 21.062 * [backup-simplify]: Simplify (+ 0 0) into 0 21.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 21.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 21.065 * [taylor]: Taking taylor expansion of 0 in K 21.065 * [backup-simplify]: Simplify 0 into 0 21.065 * [backup-simplify]: Simplify 0 into 0 21.066 * [taylor]: Taking taylor expansion of 0 in K 21.066 * [backup-simplify]: Simplify 0 into 0 21.066 * [backup-simplify]: Simplify 0 into 0 21.066 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 21.066 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 21.066 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 21.066 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 21.066 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 21.066 * [taylor]: Taking taylor expansion of -2 in K 21.066 * [backup-simplify]: Simplify -2 into -2 21.066 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 21.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.066 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.066 * [taylor]: Taking taylor expansion of 1/2 in K 21.066 * [backup-simplify]: Simplify 1/2 into 1/2 21.067 * [taylor]: Taking taylor expansion of K in K 21.067 * [backup-simplify]: Simplify 0 into 0 21.067 * [backup-simplify]: Simplify 1 into 1 21.067 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.068 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.068 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 21.068 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 21.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.068 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 21.068 * [taylor]: Taking taylor expansion of (* 1 1) in K 21.068 * [taylor]: Taking taylor expansion of 1 in K 21.068 * [backup-simplify]: Simplify 1 into 1 21.068 * [taylor]: Taking taylor expansion of 1 in K 21.068 * [backup-simplify]: Simplify 1 into 1 21.068 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 21.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 21.069 * [taylor]: Taking taylor expansion of 1/2 in K 21.069 * [backup-simplify]: Simplify 1/2 into 1/2 21.069 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 21.069 * [taylor]: Taking taylor expansion of U in K 21.069 * [backup-simplify]: Simplify U into U 21.069 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.069 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.069 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.069 * [taylor]: Taking taylor expansion of 1/2 in K 21.069 * [backup-simplify]: Simplify 1/2 into 1/2 21.069 * [taylor]: Taking taylor expansion of K in K 21.069 * [backup-simplify]: Simplify 0 into 0 21.069 * [backup-simplify]: Simplify 1 into 1 21.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.070 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.070 * [taylor]: Taking taylor expansion of J in K 21.070 * [backup-simplify]: Simplify J into J 21.070 * [backup-simplify]: Simplify (* 1 J) into J 21.070 * [backup-simplify]: Simplify (/ U J) into (/ U J) 21.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 21.070 * [taylor]: Taking taylor expansion of 1/2 in K 21.070 * [backup-simplify]: Simplify 1/2 into 1/2 21.070 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 21.070 * [taylor]: Taking taylor expansion of U in K 21.070 * [backup-simplify]: Simplify U into U 21.070 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.070 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.070 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.071 * [taylor]: Taking taylor expansion of 1/2 in K 21.071 * [backup-simplify]: Simplify 1/2 into 1/2 21.071 * [taylor]: Taking taylor expansion of K in K 21.071 * [backup-simplify]: Simplify 0 into 0 21.071 * [backup-simplify]: Simplify 1 into 1 21.071 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.072 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.072 * [taylor]: Taking taylor expansion of J in K 21.072 * [backup-simplify]: Simplify J into J 21.072 * [backup-simplify]: Simplify (* 1 J) into J 21.072 * [backup-simplify]: Simplify (/ U J) into (/ U J) 21.073 * [backup-simplify]: Simplify (* 1 1) into 1 21.073 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 21.073 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 21.073 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 21.073 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 21.074 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 21.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.075 * [backup-simplify]: Simplify (+ 0) into 0 21.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 21.075 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 21.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 21.076 * [backup-simplify]: Simplify (+ 0) into 0 21.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 21.077 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 21.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 21.078 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 21.078 * [backup-simplify]: Simplify (+ 0 0) into 0 21.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 21.078 * [taylor]: Taking taylor expansion of J in K 21.078 * [backup-simplify]: Simplify J into J 21.078 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 21.078 * [taylor]: Taking taylor expansion of -2 in J 21.078 * [backup-simplify]: Simplify -2 into -2 21.078 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 21.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.078 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.079 * [taylor]: Taking taylor expansion of 1/2 in J 21.079 * [backup-simplify]: Simplify 1/2 into 1/2 21.079 * [taylor]: Taking taylor expansion of K in J 21.079 * [backup-simplify]: Simplify K into K 21.079 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.079 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 21.079 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 21.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.079 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 21.079 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.079 * [taylor]: Taking taylor expansion of 1 in J 21.079 * [backup-simplify]: Simplify 1 into 1 21.079 * [taylor]: Taking taylor expansion of 1 in J 21.079 * [backup-simplify]: Simplify 1 into 1 21.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 21.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.079 * [taylor]: Taking taylor expansion of 1/2 in J 21.079 * [backup-simplify]: Simplify 1/2 into 1/2 21.079 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.079 * [taylor]: Taking taylor expansion of U in J 21.079 * [backup-simplify]: Simplify U into U 21.079 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.079 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.079 * [taylor]: Taking taylor expansion of 1/2 in J 21.079 * [backup-simplify]: Simplify 1/2 into 1/2 21.079 * [taylor]: Taking taylor expansion of K in J 21.079 * [backup-simplify]: Simplify K into K 21.080 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.080 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.080 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.080 * [taylor]: Taking taylor expansion of J in J 21.080 * [backup-simplify]: Simplify 0 into 0 21.080 * [backup-simplify]: Simplify 1 into 1 21.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.080 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.080 * [backup-simplify]: Simplify (- 0) into 0 21.080 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.081 * [backup-simplify]: Simplify (+ 0) into 0 21.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.083 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.084 * [backup-simplify]: Simplify (- 0) into 0 21.084 * [backup-simplify]: Simplify (+ 0 0) into 0 21.084 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.085 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.085 * [taylor]: Taking taylor expansion of 1/2 in J 21.085 * [backup-simplify]: Simplify 1/2 into 1/2 21.085 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.085 * [taylor]: Taking taylor expansion of U in J 21.085 * [backup-simplify]: Simplify U into U 21.085 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.085 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.085 * [taylor]: Taking taylor expansion of 1/2 in J 21.085 * [backup-simplify]: Simplify 1/2 into 1/2 21.085 * [taylor]: Taking taylor expansion of K in J 21.085 * [backup-simplify]: Simplify K into K 21.085 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.085 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.085 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.085 * [taylor]: Taking taylor expansion of J in J 21.085 * [backup-simplify]: Simplify 0 into 0 21.085 * [backup-simplify]: Simplify 1 into 1 21.085 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.085 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.086 * [backup-simplify]: Simplify (- 0) into 0 21.086 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.086 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.086 * [backup-simplify]: Simplify (+ 0) into 0 21.087 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.089 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.089 * [backup-simplify]: Simplify (- 0) into 0 21.089 * [backup-simplify]: Simplify (+ 0 0) into 0 21.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.090 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.090 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.090 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.090 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 21.091 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 21.091 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.093 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.095 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.095 * [backup-simplify]: Simplify (- 0) into 0 21.096 * [backup-simplify]: Simplify (+ 0 0) into 0 21.096 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.096 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.100 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.101 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.101 * [backup-simplify]: Simplify (- 0) into 0 21.102 * [backup-simplify]: Simplify (+ 0 0) into 0 21.103 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.103 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.104 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 21.104 * [backup-simplify]: Simplify (+ 0 0) into 0 21.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 21.105 * [taylor]: Taking taylor expansion of J in J 21.105 * [backup-simplify]: Simplify 0 into 0 21.105 * [backup-simplify]: Simplify 1 into 1 21.105 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 21.105 * [taylor]: Taking taylor expansion of -2 in U 21.105 * [backup-simplify]: Simplify -2 into -2 21.105 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 21.105 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.105 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.105 * [taylor]: Taking taylor expansion of 1/2 in U 21.105 * [backup-simplify]: Simplify 1/2 into 1/2 21.105 * [taylor]: Taking taylor expansion of K in U 21.105 * [backup-simplify]: Simplify K into K 21.105 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.105 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.105 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.105 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 21.105 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.105 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.105 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 21.105 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.105 * [taylor]: Taking taylor expansion of 1 in U 21.105 * [backup-simplify]: Simplify 1 into 1 21.105 * [taylor]: Taking taylor expansion of 1 in U 21.105 * [backup-simplify]: Simplify 1 into 1 21.105 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.105 * [taylor]: Taking taylor expansion of 1/2 in U 21.106 * [backup-simplify]: Simplify 1/2 into 1/2 21.106 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.106 * [taylor]: Taking taylor expansion of U in U 21.106 * [backup-simplify]: Simplify 0 into 0 21.106 * [backup-simplify]: Simplify 1 into 1 21.106 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.106 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.106 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.106 * [taylor]: Taking taylor expansion of 1/2 in U 21.106 * [backup-simplify]: Simplify 1/2 into 1/2 21.106 * [taylor]: Taking taylor expansion of K in U 21.106 * [backup-simplify]: Simplify K into K 21.106 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.106 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.106 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.106 * [taylor]: Taking taylor expansion of J in U 21.106 * [backup-simplify]: Simplify J into J 21.106 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.106 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.107 * [backup-simplify]: Simplify (- 0) into 0 21.107 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.107 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.107 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.107 * [taylor]: Taking taylor expansion of 1/2 in U 21.107 * [backup-simplify]: Simplify 1/2 into 1/2 21.107 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.107 * [taylor]: Taking taylor expansion of U in U 21.107 * [backup-simplify]: Simplify 0 into 0 21.107 * [backup-simplify]: Simplify 1 into 1 21.107 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.107 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.107 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.107 * [taylor]: Taking taylor expansion of 1/2 in U 21.107 * [backup-simplify]: Simplify 1/2 into 1/2 21.107 * [taylor]: Taking taylor expansion of K in U 21.107 * [backup-simplify]: Simplify K into K 21.107 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.108 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.108 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.108 * [taylor]: Taking taylor expansion of J in U 21.108 * [backup-simplify]: Simplify J into J 21.108 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.108 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.108 * [backup-simplify]: Simplify (- 0) into 0 21.108 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.108 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.109 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.109 * [backup-simplify]: Simplify (* 1 1) into 1 21.109 * [backup-simplify]: Simplify (+ 1 0) into 1 21.110 * [backup-simplify]: Simplify (sqrt 1) into 1 21.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.111 * [backup-simplify]: Simplify (+ 0 0) into 0 21.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.112 * [taylor]: Taking taylor expansion of J in U 21.112 * [backup-simplify]: Simplify J into J 21.112 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 21.112 * [taylor]: Taking taylor expansion of -2 in U 21.112 * [backup-simplify]: Simplify -2 into -2 21.112 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 21.112 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.112 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.112 * [taylor]: Taking taylor expansion of 1/2 in U 21.112 * [backup-simplify]: Simplify 1/2 into 1/2 21.112 * [taylor]: Taking taylor expansion of K in U 21.112 * [backup-simplify]: Simplify K into K 21.112 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.112 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.112 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.112 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 21.112 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.112 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 21.112 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.112 * [taylor]: Taking taylor expansion of 1 in U 21.112 * [backup-simplify]: Simplify 1 into 1 21.112 * [taylor]: Taking taylor expansion of 1 in U 21.112 * [backup-simplify]: Simplify 1 into 1 21.112 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 21.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.112 * [taylor]: Taking taylor expansion of 1/2 in U 21.113 * [backup-simplify]: Simplify 1/2 into 1/2 21.113 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.113 * [taylor]: Taking taylor expansion of U in U 21.113 * [backup-simplify]: Simplify 0 into 0 21.113 * [backup-simplify]: Simplify 1 into 1 21.113 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.113 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.113 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.113 * [taylor]: Taking taylor expansion of 1/2 in U 21.113 * [backup-simplify]: Simplify 1/2 into 1/2 21.113 * [taylor]: Taking taylor expansion of K in U 21.113 * [backup-simplify]: Simplify K into K 21.113 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.113 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.113 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.113 * [taylor]: Taking taylor expansion of J in U 21.113 * [backup-simplify]: Simplify J into J 21.113 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.113 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.114 * [backup-simplify]: Simplify (- 0) into 0 21.114 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.114 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.114 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.114 * [taylor]: Taking taylor expansion of 1/2 in U 21.114 * [backup-simplify]: Simplify 1/2 into 1/2 21.114 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.114 * [taylor]: Taking taylor expansion of U in U 21.114 * [backup-simplify]: Simplify 0 into 0 21.114 * [backup-simplify]: Simplify 1 into 1 21.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.114 * [taylor]: Taking taylor expansion of 1/2 in U 21.114 * [backup-simplify]: Simplify 1/2 into 1/2 21.114 * [taylor]: Taking taylor expansion of K in U 21.114 * [backup-simplify]: Simplify K into K 21.114 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.115 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.115 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.115 * [taylor]: Taking taylor expansion of J in U 21.115 * [backup-simplify]: Simplify J into J 21.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.115 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.115 * [backup-simplify]: Simplify (- 0) into 0 21.115 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.116 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.116 * [backup-simplify]: Simplify (* 1 1) into 1 21.116 * [backup-simplify]: Simplify (+ 1 0) into 1 21.117 * [backup-simplify]: Simplify (sqrt 1) into 1 21.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.118 * [backup-simplify]: Simplify (+ 0 0) into 0 21.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.119 * [taylor]: Taking taylor expansion of J in U 21.119 * [backup-simplify]: Simplify J into J 21.119 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.119 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.120 * [backup-simplify]: Simplify (- 0) into 0 21.120 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.120 * [backup-simplify]: Simplify (* 1 J) into J 21.120 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.120 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 21.120 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 21.120 * [taylor]: Taking taylor expansion of -2 in J 21.120 * [backup-simplify]: Simplify -2 into -2 21.120 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.120 * [taylor]: Taking taylor expansion of 1/2 in J 21.120 * [backup-simplify]: Simplify 1/2 into 1/2 21.120 * [taylor]: Taking taylor expansion of K in J 21.120 * [backup-simplify]: Simplify K into K 21.120 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.120 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.120 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.120 * [taylor]: Taking taylor expansion of J in J 21.120 * [backup-simplify]: Simplify 0 into 0 21.121 * [backup-simplify]: Simplify 1 into 1 21.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 21.121 * [backup-simplify]: Simplify (+ 0) into 0 21.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.123 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.123 * [backup-simplify]: Simplify (- 0) into 0 21.123 * [backup-simplify]: Simplify (+ 0 0) into 0 21.123 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 21.124 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 21.124 * [taylor]: Taking taylor expansion of 0 in J 21.124 * [backup-simplify]: Simplify 0 into 0 21.124 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.124 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.124 * [backup-simplify]: Simplify (- 0) into 0 21.124 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.124 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.124 * [backup-simplify]: Simplify (* -2 0) into 0 21.124 * [taylor]: Taking taylor expansion of 0 in K 21.124 * [backup-simplify]: Simplify 0 into 0 21.124 * [backup-simplify]: Simplify 0 into 0 21.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.125 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 21.125 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 21.125 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 21.125 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 21.126 * [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))) 21.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 21.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.129 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.129 * [backup-simplify]: Simplify (- 0) into 0 21.130 * [backup-simplify]: Simplify (+ 0 0) into 0 21.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 21.131 * [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)))) 21.131 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 21.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 21.131 * [taylor]: Taking taylor expansion of 1/4 in J 21.131 * [backup-simplify]: Simplify 1/4 into 1/4 21.131 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 21.131 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.131 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.131 * [taylor]: Taking taylor expansion of 1/2 in J 21.131 * [backup-simplify]: Simplify 1/2 into 1/2 21.131 * [taylor]: Taking taylor expansion of K in J 21.131 * [backup-simplify]: Simplify K into K 21.131 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.131 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.131 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.131 * [taylor]: Taking taylor expansion of J in J 21.131 * [backup-simplify]: Simplify 0 into 0 21.131 * [backup-simplify]: Simplify 1 into 1 21.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.131 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.131 * [backup-simplify]: Simplify (- 0) into 0 21.131 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.132 * [backup-simplify]: Simplify (+ 0) into 0 21.132 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.133 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.133 * [backup-simplify]: Simplify (- 0) into 0 21.134 * [backup-simplify]: Simplify (+ 0 0) into 0 21.134 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.134 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 21.134 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 21.134 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 21.134 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 21.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 21.134 * [taylor]: Taking taylor expansion of 1/4 in K 21.134 * [backup-simplify]: Simplify 1/4 into 1/4 21.134 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 21.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.134 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.134 * [taylor]: Taking taylor expansion of 1/2 in K 21.134 * [backup-simplify]: Simplify 1/2 into 1/2 21.134 * [taylor]: Taking taylor expansion of K in K 21.134 * [backup-simplify]: Simplify 0 into 0 21.134 * [backup-simplify]: Simplify 1 into 1 21.135 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.135 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.135 * [backup-simplify]: Simplify (/ 1 1) into 1 21.136 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 21.136 * [backup-simplify]: Simplify (- 1/4) into -1/4 21.136 * [backup-simplify]: Simplify -1/4 into -1/4 21.136 * [taylor]: Taking taylor expansion of 0 in K 21.136 * [backup-simplify]: Simplify 0 into 0 21.136 * [backup-simplify]: Simplify 0 into 0 21.136 * [backup-simplify]: Simplify (+ 0) into 0 21.137 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.137 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.138 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.138 * [backup-simplify]: Simplify (- 0) into 0 21.138 * [backup-simplify]: Simplify (+ 0 0) into 0 21.138 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.139 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 21.139 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 21.139 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 21.139 * [taylor]: Taking taylor expansion of 2 in K 21.139 * [backup-simplify]: Simplify 2 into 2 21.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.139 * [taylor]: Taking taylor expansion of 1/2 in K 21.139 * [backup-simplify]: Simplify 1/2 into 1/2 21.139 * [taylor]: Taking taylor expansion of K in K 21.139 * [backup-simplify]: Simplify 0 into 0 21.139 * [backup-simplify]: Simplify 1 into 1 21.139 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.140 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.140 * [backup-simplify]: Simplify (* 2 1) into 2 21.140 * [backup-simplify]: Simplify (- 2) into -2 21.140 * [backup-simplify]: Simplify -2 into -2 21.140 * [backup-simplify]: Simplify 0 into 0 21.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.141 * [backup-simplify]: Simplify (+ 0) into 0 21.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.143 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.143 * [backup-simplify]: Simplify (- 0) into 0 21.143 * [backup-simplify]: Simplify (+ 0 0) into 0 21.143 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 21.143 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 21.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 21.144 * [backup-simplify]: Simplify (+ 0) into 0 21.144 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.145 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.146 * [backup-simplify]: Simplify (- 0) into 0 21.146 * [backup-simplify]: Simplify (+ 0 0) into 0 21.146 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 21.146 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 21.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 21.147 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 21.147 * [backup-simplify]: Simplify (+ 0 0) into 0 21.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 21.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 21.148 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.149 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 21.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.151 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.151 * [backup-simplify]: Simplify (- 0) into 0 21.151 * [backup-simplify]: Simplify (+ 0 0) into 0 21.152 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 21.153 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 21.153 * [taylor]: Taking taylor expansion of 0 in J 21.153 * [backup-simplify]: Simplify 0 into 0 21.154 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.154 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.156 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.157 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.157 * [backup-simplify]: Simplify (- 0) into 0 21.157 * [backup-simplify]: Simplify (+ 0 0) into 0 21.158 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 21.159 * [backup-simplify]: Simplify (- 0) into 0 21.159 * [taylor]: Taking taylor expansion of 0 in K 21.159 * [backup-simplify]: Simplify 0 into 0 21.159 * [backup-simplify]: Simplify 0 into 0 21.159 * [taylor]: Taking taylor expansion of 0 in K 21.159 * [backup-simplify]: Simplify 0 into 0 21.159 * [backup-simplify]: Simplify 0 into 0 21.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.169 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.169 * [backup-simplify]: Simplify (- 0) into 0 21.169 * [backup-simplify]: Simplify (+ 0 0) into 0 21.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.171 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 21.171 * [taylor]: Taking taylor expansion of 0 in K 21.171 * [backup-simplify]: Simplify 0 into 0 21.171 * [backup-simplify]: Simplify 0 into 0 21.172 * [backup-simplify]: Simplify (+ 0) into 0 21.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 21.174 * [backup-simplify]: Simplify (- 0) into 0 21.174 * [backup-simplify]: Simplify 0 into 0 21.174 * [backup-simplify]: Simplify 0 into 0 21.174 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 21.174 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 21.174 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 21.174 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 21.174 * [taylor]: Taking taylor expansion of -2 in K 21.175 * [backup-simplify]: Simplify -2 into -2 21.175 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 21.175 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 21.175 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 21.175 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.175 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 21.175 * [taylor]: Taking taylor expansion of (* 1 1) in K 21.175 * [taylor]: Taking taylor expansion of 1 in K 21.175 * [backup-simplify]: Simplify 1 into 1 21.175 * [taylor]: Taking taylor expansion of 1 in K 21.175 * [backup-simplify]: Simplify 1 into 1 21.175 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 21.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 21.175 * [taylor]: Taking taylor expansion of 1/2 in K 21.175 * [backup-simplify]: Simplify 1/2 into 1/2 21.175 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 21.175 * [taylor]: Taking taylor expansion of J in K 21.175 * [backup-simplify]: Simplify J into J 21.175 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 21.175 * [taylor]: Taking taylor expansion of U in K 21.175 * [backup-simplify]: Simplify U into U 21.175 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.175 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.175 * [taylor]: Taking taylor expansion of 1/2 in K 21.175 * [backup-simplify]: Simplify 1/2 into 1/2 21.175 * [taylor]: Taking taylor expansion of K in K 21.175 * [backup-simplify]: Simplify 0 into 0 21.175 * [backup-simplify]: Simplify 1 into 1 21.176 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.176 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.176 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.176 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 21.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 21.176 * [taylor]: Taking taylor expansion of 1/2 in K 21.176 * [backup-simplify]: Simplify 1/2 into 1/2 21.176 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 21.176 * [taylor]: Taking taylor expansion of J in K 21.176 * [backup-simplify]: Simplify J into J 21.176 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 21.176 * [taylor]: Taking taylor expansion of U in K 21.176 * [backup-simplify]: Simplify U into U 21.176 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.176 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.177 * [taylor]: Taking taylor expansion of 1/2 in K 21.177 * [backup-simplify]: Simplify 1/2 into 1/2 21.177 * [taylor]: Taking taylor expansion of K in K 21.177 * [backup-simplify]: Simplify 0 into 0 21.177 * [backup-simplify]: Simplify 1 into 1 21.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.177 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.177 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.177 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 21.178 * [backup-simplify]: Simplify (* 1 1) into 1 21.178 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 21.178 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 21.178 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 21.179 * [backup-simplify]: Simplify (+ 1 (* 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) 21.179 * [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)) 21.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.180 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.180 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 21.181 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.181 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 21.182 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 21.183 * [backup-simplify]: Simplify (+ 0 0) into 0 21.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 21.183 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.183 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.183 * [taylor]: Taking taylor expansion of 1/2 in K 21.183 * [backup-simplify]: Simplify 1/2 into 1/2 21.183 * [taylor]: Taking taylor expansion of K in K 21.183 * [backup-simplify]: Simplify 0 into 0 21.183 * [backup-simplify]: Simplify 1 into 1 21.184 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.184 * [taylor]: Taking taylor expansion of J in K 21.184 * [backup-simplify]: Simplify J into J 21.184 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 21.185 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 21.185 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 21.185 * [taylor]: Taking taylor expansion of -2 in J 21.185 * [backup-simplify]: Simplify -2 into -2 21.185 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 21.185 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 21.185 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 21.185 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.185 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 21.185 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.185 * [taylor]: Taking taylor expansion of 1 in J 21.185 * [backup-simplify]: Simplify 1 into 1 21.185 * [taylor]: Taking taylor expansion of 1 in J 21.185 * [backup-simplify]: Simplify 1 into 1 21.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 21.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.186 * [taylor]: Taking taylor expansion of 1/2 in J 21.186 * [backup-simplify]: Simplify 1/2 into 1/2 21.186 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.186 * [taylor]: Taking taylor expansion of J in J 21.186 * [backup-simplify]: Simplify 0 into 0 21.186 * [backup-simplify]: Simplify 1 into 1 21.186 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.186 * [taylor]: Taking taylor expansion of U in J 21.186 * [backup-simplify]: Simplify U into U 21.186 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.186 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.186 * [taylor]: Taking taylor expansion of 1/2 in J 21.186 * [backup-simplify]: Simplify 1/2 into 1/2 21.186 * [taylor]: Taking taylor expansion of K in J 21.186 * [backup-simplify]: Simplify K into K 21.186 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.186 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.186 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.186 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.186 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.187 * [backup-simplify]: Simplify (- 0) into 0 21.187 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.187 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.187 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.187 * [taylor]: Taking taylor expansion of 1/2 in J 21.187 * [backup-simplify]: Simplify 1/2 into 1/2 21.187 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.187 * [taylor]: Taking taylor expansion of J in J 21.187 * [backup-simplify]: Simplify 0 into 0 21.187 * [backup-simplify]: Simplify 1 into 1 21.187 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.187 * [taylor]: Taking taylor expansion of U in J 21.187 * [backup-simplify]: Simplify U into U 21.187 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.187 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.187 * [taylor]: Taking taylor expansion of 1/2 in J 21.188 * [backup-simplify]: Simplify 1/2 into 1/2 21.188 * [taylor]: Taking taylor expansion of K in J 21.188 * [backup-simplify]: Simplify K into K 21.188 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.188 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.188 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.188 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.188 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.188 * [backup-simplify]: Simplify (- 0) into 0 21.188 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.189 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.189 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.189 * [backup-simplify]: Simplify (* 1 1) into 1 21.189 * [backup-simplify]: Simplify (+ 1 0) into 1 21.190 * [backup-simplify]: Simplify (sqrt 1) into 1 21.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.191 * [backup-simplify]: Simplify (+ 0 0) into 0 21.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.192 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.192 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.192 * [taylor]: Taking taylor expansion of 1/2 in J 21.192 * [backup-simplify]: Simplify 1/2 into 1/2 21.192 * [taylor]: Taking taylor expansion of K in J 21.192 * [backup-simplify]: Simplify K into K 21.192 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.192 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.192 * [taylor]: Taking taylor expansion of J in J 21.192 * [backup-simplify]: Simplify 0 into 0 21.192 * [backup-simplify]: Simplify 1 into 1 21.192 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.192 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.193 * [backup-simplify]: Simplify (- 0) into 0 21.193 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.193 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 21.193 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.193 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 21.193 * [taylor]: Taking taylor expansion of -2 in U 21.193 * [backup-simplify]: Simplify -2 into -2 21.193 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 21.193 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 21.193 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 21.193 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.193 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 21.193 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.193 * [taylor]: Taking taylor expansion of 1 in U 21.193 * [backup-simplify]: Simplify 1 into 1 21.193 * [taylor]: Taking taylor expansion of 1 in U 21.193 * [backup-simplify]: Simplify 1 into 1 21.193 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 21.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 21.193 * [taylor]: Taking taylor expansion of 1/2 in U 21.193 * [backup-simplify]: Simplify 1/2 into 1/2 21.194 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 21.194 * [taylor]: Taking taylor expansion of J in U 21.194 * [backup-simplify]: Simplify J into J 21.194 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.194 * [taylor]: Taking taylor expansion of U in U 21.194 * [backup-simplify]: Simplify 0 into 0 21.194 * [backup-simplify]: Simplify 1 into 1 21.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.194 * [taylor]: Taking taylor expansion of 1/2 in U 21.194 * [backup-simplify]: Simplify 1/2 into 1/2 21.194 * [taylor]: Taking taylor expansion of K in U 21.194 * [backup-simplify]: Simplify K into K 21.194 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.194 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.194 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.194 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.194 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.195 * [backup-simplify]: Simplify (- 0) into 0 21.195 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.195 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.195 * [backup-simplify]: Simplify (+ 0) into 0 21.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.197 * [backup-simplify]: Simplify (- 0) into 0 21.198 * [backup-simplify]: Simplify (+ 0 0) into 0 21.198 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.198 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 21.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 21.198 * [taylor]: Taking taylor expansion of 1/2 in U 21.199 * [backup-simplify]: Simplify 1/2 into 1/2 21.199 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 21.199 * [taylor]: Taking taylor expansion of J in U 21.199 * [backup-simplify]: Simplify J into J 21.199 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.199 * [taylor]: Taking taylor expansion of U in U 21.199 * [backup-simplify]: Simplify 0 into 0 21.199 * [backup-simplify]: Simplify 1 into 1 21.199 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.199 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.199 * [taylor]: Taking taylor expansion of 1/2 in U 21.199 * [backup-simplify]: Simplify 1/2 into 1/2 21.199 * [taylor]: Taking taylor expansion of K in U 21.199 * [backup-simplify]: Simplify K into K 21.199 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.199 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.199 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.199 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.199 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.200 * [backup-simplify]: Simplify (- 0) into 0 21.200 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.200 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.200 * [backup-simplify]: Simplify (+ 0) into 0 21.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.203 * [backup-simplify]: Simplify (- 0) into 0 21.203 * [backup-simplify]: Simplify (+ 0 0) into 0 21.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.203 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 21.204 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.204 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.204 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 21.204 * [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))) 21.204 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.205 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.206 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.207 * [backup-simplify]: Simplify (- 0) into 0 21.207 * [backup-simplify]: Simplify (+ 0 0) into 0 21.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 21.208 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 21.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.209 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.210 * [backup-simplify]: Simplify (- 0) into 0 21.210 * [backup-simplify]: Simplify (+ 0 0) into 0 21.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 21.211 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 21.212 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 21.212 * [backup-simplify]: Simplify (+ 0 0) into 0 21.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 21.212 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.212 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.212 * [taylor]: Taking taylor expansion of 1/2 in U 21.212 * [backup-simplify]: Simplify 1/2 into 1/2 21.212 * [taylor]: Taking taylor expansion of K in U 21.212 * [backup-simplify]: Simplify K into K 21.212 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.212 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.213 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.213 * [taylor]: Taking taylor expansion of J in U 21.213 * [backup-simplify]: Simplify J into J 21.213 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.213 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.213 * [backup-simplify]: Simplify (- 0) into 0 21.213 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.213 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 21.213 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 21.213 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 21.213 * [taylor]: Taking taylor expansion of -2 in U 21.213 * [backup-simplify]: Simplify -2 into -2 21.213 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 21.213 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 21.213 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 21.213 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.213 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 21.213 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.213 * [taylor]: Taking taylor expansion of 1 in U 21.213 * [backup-simplify]: Simplify 1 into 1 21.213 * [taylor]: Taking taylor expansion of 1 in U 21.213 * [backup-simplify]: Simplify 1 into 1 21.213 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 21.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 21.213 * [taylor]: Taking taylor expansion of 1/2 in U 21.214 * [backup-simplify]: Simplify 1/2 into 1/2 21.214 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 21.214 * [taylor]: Taking taylor expansion of J in U 21.214 * [backup-simplify]: Simplify J into J 21.214 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.214 * [taylor]: Taking taylor expansion of U in U 21.214 * [backup-simplify]: Simplify 0 into 0 21.214 * [backup-simplify]: Simplify 1 into 1 21.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.214 * [taylor]: Taking taylor expansion of 1/2 in U 21.214 * [backup-simplify]: Simplify 1/2 into 1/2 21.214 * [taylor]: Taking taylor expansion of K in U 21.214 * [backup-simplify]: Simplify K into K 21.214 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.214 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.214 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.214 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.214 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.214 * [backup-simplify]: Simplify (- 0) into 0 21.214 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.214 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.215 * [backup-simplify]: Simplify (+ 0) into 0 21.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.216 * [backup-simplify]: Simplify (- 0) into 0 21.216 * [backup-simplify]: Simplify (+ 0 0) into 0 21.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.216 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 21.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 21.217 * [taylor]: Taking taylor expansion of 1/2 in U 21.217 * [backup-simplify]: Simplify 1/2 into 1/2 21.217 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 21.217 * [taylor]: Taking taylor expansion of J in U 21.217 * [backup-simplify]: Simplify J into J 21.217 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.217 * [taylor]: Taking taylor expansion of U in U 21.217 * [backup-simplify]: Simplify 0 into 0 21.217 * [backup-simplify]: Simplify 1 into 1 21.217 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.217 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.217 * [taylor]: Taking taylor expansion of 1/2 in U 21.217 * [backup-simplify]: Simplify 1/2 into 1/2 21.217 * [taylor]: Taking taylor expansion of K in U 21.217 * [backup-simplify]: Simplify K into K 21.217 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.217 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.217 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.217 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.217 * [backup-simplify]: Simplify (- 0) into 0 21.217 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.217 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.218 * [backup-simplify]: Simplify (+ 0) into 0 21.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.219 * [backup-simplify]: Simplify (- 0) into 0 21.219 * [backup-simplify]: Simplify (+ 0 0) into 0 21.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.220 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 21.220 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.220 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.220 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 21.220 * [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))) 21.220 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.222 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.222 * [backup-simplify]: Simplify (- 0) into 0 21.223 * [backup-simplify]: Simplify (+ 0 0) into 0 21.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 21.223 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 21.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.226 * [backup-simplify]: Simplify (- 0) into 0 21.226 * [backup-simplify]: Simplify (+ 0 0) into 0 21.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 21.227 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 21.227 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 21.227 * [backup-simplify]: Simplify (+ 0 0) into 0 21.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 21.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.228 * [taylor]: Taking taylor expansion of 1/2 in U 21.228 * [backup-simplify]: Simplify 1/2 into 1/2 21.228 * [taylor]: Taking taylor expansion of K in U 21.228 * [backup-simplify]: Simplify K into K 21.228 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.228 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.228 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.228 * [taylor]: Taking taylor expansion of J in U 21.228 * [backup-simplify]: Simplify J into J 21.228 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.228 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.228 * [backup-simplify]: Simplify (- 0) into 0 21.228 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.228 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 21.228 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 21.229 * [backup-simplify]: Simplify (* -2 1/2) into -1 21.229 * [taylor]: Taking taylor expansion of -1 in J 21.229 * [backup-simplify]: Simplify -1 into -1 21.229 * [backup-simplify]: Simplify (+ 0) into 0 21.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.229 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.230 * [backup-simplify]: Simplify (- 0) into 0 21.231 * [backup-simplify]: Simplify (+ 0 0) into 0 21.231 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 21.231 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 21.231 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 21.231 * [taylor]: Taking taylor expansion of 0 in J 21.231 * [backup-simplify]: Simplify 0 into 0 21.231 * [taylor]: Taking taylor expansion of -1 in K 21.231 * [backup-simplify]: Simplify -1 into -1 21.231 * [backup-simplify]: Simplify -1 into -1 21.232 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.233 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.234 * [backup-simplify]: Simplify (- 0) into 0 21.234 * [backup-simplify]: Simplify (+ 0 0) into 0 21.234 * [backup-simplify]: Simplify (* 1 1) into 1 21.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.237 * [backup-simplify]: Simplify (- 0) into 0 21.237 * [backup-simplify]: Simplify (+ 0 0) into 0 21.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.238 * [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 21.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 21.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.240 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.242 * [backup-simplify]: Simplify (- 0) into 0 21.242 * [backup-simplify]: Simplify (+ 0 0) into 0 21.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.244 * [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 21.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 21.245 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 21.246 * [backup-simplify]: Simplify (+ 1 0) into 1 21.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 21.247 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 21.248 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 21.249 * [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)))) 21.249 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 21.249 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 21.249 * [taylor]: Taking taylor expansion of 2 in J 21.249 * [backup-simplify]: Simplify 2 into 2 21.249 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 21.249 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 21.249 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.249 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.249 * [taylor]: Taking taylor expansion of 1/2 in J 21.249 * [backup-simplify]: Simplify 1/2 into 1/2 21.249 * [taylor]: Taking taylor expansion of K in J 21.249 * [backup-simplify]: Simplify K into K 21.249 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.249 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.249 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.249 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.250 * [backup-simplify]: Simplify (- 0) into 0 21.250 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.250 * [taylor]: Taking taylor expansion of (pow J 2) in J 21.250 * [taylor]: Taking taylor expansion of J in J 21.250 * [backup-simplify]: Simplify 0 into 0 21.250 * [backup-simplify]: Simplify 1 into 1 21.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 21.250 * [backup-simplify]: Simplify (* 1 1) into 1 21.251 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 21.251 * [backup-simplify]: Simplify (+ 0) into 0 21.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.252 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.253 * [backup-simplify]: Simplify (- 0) into 0 21.254 * [backup-simplify]: Simplify (+ 0 0) into 0 21.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 21.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 21.256 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 21.256 * [backup-simplify]: Simplify (- 0) into 0 21.256 * [taylor]: Taking taylor expansion of 0 in K 21.256 * [backup-simplify]: Simplify 0 into 0 21.257 * [backup-simplify]: Simplify 0 into 0 21.257 * [taylor]: Taking taylor expansion of 0 in K 21.257 * [backup-simplify]: Simplify 0 into 0 21.257 * [backup-simplify]: Simplify 0 into 0 21.257 * [taylor]: Taking taylor expansion of 0 in K 21.257 * [backup-simplify]: Simplify 0 into 0 21.257 * [backup-simplify]: Simplify 0 into 0 21.257 * [backup-simplify]: Simplify 0 into 0 21.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.260 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.262 * [backup-simplify]: Simplify (- 0) into 0 21.262 * [backup-simplify]: Simplify (+ 0 0) into 0 21.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.265 * [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 21.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.268 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 21.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 21.269 * [backup-simplify]: Simplify (- 0) into 0 21.270 * [backup-simplify]: Simplify (+ 0 0) into 0 21.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 21.272 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 21.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 21.275 * [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 21.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.278 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 21.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 21.279 * [backup-simplify]: Simplify (- 0) into 0 21.280 * [backup-simplify]: Simplify (+ 0 0) into 0 21.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 21.282 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 21.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 21.284 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 21.284 * [backup-simplify]: Simplify (+ 0 0) into 0 21.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 21.285 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.285 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 21.287 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 21.287 * [taylor]: Taking taylor expansion of 0 in J 21.287 * [backup-simplify]: Simplify 0 into 0 21.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.295 * [backup-simplify]: Simplify (- 0) into 0 21.296 * [backup-simplify]: Simplify (+ 0 0) into 0 21.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 21.300 * [backup-simplify]: Simplify (- 0) into 0 21.300 * [taylor]: Taking taylor expansion of 0 in K 21.300 * [backup-simplify]: Simplify 0 into 0 21.300 * [backup-simplify]: Simplify 0 into 0 21.300 * [taylor]: Taking taylor expansion of 0 in K 21.300 * [backup-simplify]: Simplify 0 into 0 21.300 * [backup-simplify]: Simplify 0 into 0 21.301 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 21.301 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 21.301 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 21.301 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 21.301 * [taylor]: Taking taylor expansion of 2 in K 21.301 * [backup-simplify]: Simplify 2 into 2 21.301 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 21.301 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 21.301 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.301 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.301 * [taylor]: Taking taylor expansion of -1/2 in K 21.301 * [backup-simplify]: Simplify -1/2 into -1/2 21.301 * [taylor]: Taking taylor expansion of K in K 21.301 * [backup-simplify]: Simplify 0 into 0 21.301 * [backup-simplify]: Simplify 1 into 1 21.302 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.302 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.302 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 21.302 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.302 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 21.302 * [taylor]: Taking taylor expansion of (* 1 1) in K 21.302 * [taylor]: Taking taylor expansion of 1 in K 21.302 * [backup-simplify]: Simplify 1 into 1 21.302 * [taylor]: Taking taylor expansion of 1 in K 21.302 * [backup-simplify]: Simplify 1 into 1 21.302 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 21.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 21.302 * [taylor]: Taking taylor expansion of 1/2 in K 21.302 * [backup-simplify]: Simplify 1/2 into 1/2 21.302 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 21.302 * [taylor]: Taking taylor expansion of J in K 21.302 * [backup-simplify]: Simplify J into J 21.303 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 21.303 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.303 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.303 * [taylor]: Taking taylor expansion of -1/2 in K 21.303 * [backup-simplify]: Simplify -1/2 into -1/2 21.303 * [taylor]: Taking taylor expansion of K in K 21.303 * [backup-simplify]: Simplify 0 into 0 21.303 * [backup-simplify]: Simplify 1 into 1 21.303 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.303 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.303 * [taylor]: Taking taylor expansion of U in K 21.303 * [backup-simplify]: Simplify U into U 21.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.304 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 21.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 21.304 * [taylor]: Taking taylor expansion of 1/2 in K 21.304 * [backup-simplify]: Simplify 1/2 into 1/2 21.304 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 21.304 * [taylor]: Taking taylor expansion of J in K 21.304 * [backup-simplify]: Simplify J into J 21.304 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 21.304 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.304 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.304 * [taylor]: Taking taylor expansion of -1/2 in K 21.304 * [backup-simplify]: Simplify -1/2 into -1/2 21.304 * [taylor]: Taking taylor expansion of K in K 21.304 * [backup-simplify]: Simplify 0 into 0 21.304 * [backup-simplify]: Simplify 1 into 1 21.304 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.304 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.305 * [taylor]: Taking taylor expansion of U in K 21.305 * [backup-simplify]: Simplify U into U 21.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.305 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 21.305 * [backup-simplify]: Simplify (* 1 1) into 1 21.305 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 21.305 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 21.306 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 21.306 * [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))))) 21.307 * [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)))))) 21.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.308 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 21.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.309 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 21.310 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 21.310 * [backup-simplify]: Simplify (+ 0 0) into 0 21.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 21.311 * [taylor]: Taking taylor expansion of J in K 21.311 * [backup-simplify]: Simplify J into J 21.311 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 21.311 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 21.311 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 21.311 * [taylor]: Taking taylor expansion of 2 in J 21.312 * [backup-simplify]: Simplify 2 into 2 21.312 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 21.312 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 21.312 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.312 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.312 * [taylor]: Taking taylor expansion of -1/2 in J 21.312 * [backup-simplify]: Simplify -1/2 into -1/2 21.312 * [taylor]: Taking taylor expansion of K in J 21.312 * [backup-simplify]: Simplify K into K 21.312 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.312 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.312 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.312 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 21.312 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.312 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 21.312 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.312 * [taylor]: Taking taylor expansion of 1 in J 21.312 * [backup-simplify]: Simplify 1 into 1 21.312 * [taylor]: Taking taylor expansion of 1 in J 21.312 * [backup-simplify]: Simplify 1 into 1 21.312 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 21.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.312 * [taylor]: Taking taylor expansion of 1/2 in J 21.312 * [backup-simplify]: Simplify 1/2 into 1/2 21.312 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.312 * [taylor]: Taking taylor expansion of J in J 21.312 * [backup-simplify]: Simplify 0 into 0 21.312 * [backup-simplify]: Simplify 1 into 1 21.312 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 21.312 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.312 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.312 * [taylor]: Taking taylor expansion of -1/2 in J 21.312 * [backup-simplify]: Simplify -1/2 into -1/2 21.312 * [taylor]: Taking taylor expansion of K in J 21.313 * [backup-simplify]: Simplify K into K 21.313 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.313 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.313 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.313 * [taylor]: Taking taylor expansion of U in J 21.313 * [backup-simplify]: Simplify U into U 21.313 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.313 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.313 * [backup-simplify]: Simplify (- 0) into 0 21.313 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.313 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.314 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.314 * [taylor]: Taking taylor expansion of 1/2 in J 21.314 * [backup-simplify]: Simplify 1/2 into 1/2 21.314 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.314 * [taylor]: Taking taylor expansion of J in J 21.314 * [backup-simplify]: Simplify 0 into 0 21.314 * [backup-simplify]: Simplify 1 into 1 21.314 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 21.314 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.314 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.314 * [taylor]: Taking taylor expansion of -1/2 in J 21.314 * [backup-simplify]: Simplify -1/2 into -1/2 21.314 * [taylor]: Taking taylor expansion of K in J 21.314 * [backup-simplify]: Simplify K into K 21.314 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.314 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.314 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.314 * [taylor]: Taking taylor expansion of U in J 21.314 * [backup-simplify]: Simplify U into U 21.314 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.314 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.314 * [backup-simplify]: Simplify (- 0) into 0 21.314 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.314 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.314 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.315 * [backup-simplify]: Simplify (* 1 1) into 1 21.315 * [backup-simplify]: Simplify (+ 1 0) into 1 21.315 * [backup-simplify]: Simplify (sqrt 1) into 1 21.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.316 * [backup-simplify]: Simplify (+ 0 0) into 0 21.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.316 * [taylor]: Taking taylor expansion of J in J 21.316 * [backup-simplify]: Simplify 0 into 0 21.316 * [backup-simplify]: Simplify 1 into 1 21.316 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.316 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.317 * [backup-simplify]: Simplify (- 0) into 0 21.317 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.317 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.317 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.317 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 21.317 * [taylor]: Taking taylor expansion of 2 in U 21.317 * [backup-simplify]: Simplify 2 into 2 21.317 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 21.317 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 21.317 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.317 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.317 * [taylor]: Taking taylor expansion of -1/2 in U 21.317 * [backup-simplify]: Simplify -1/2 into -1/2 21.317 * [taylor]: Taking taylor expansion of K in U 21.317 * [backup-simplify]: Simplify K into K 21.317 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.317 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.317 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.317 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 21.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 21.317 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.317 * [taylor]: Taking taylor expansion of 1 in U 21.317 * [backup-simplify]: Simplify 1 into 1 21.317 * [taylor]: Taking taylor expansion of 1 in U 21.317 * [backup-simplify]: Simplify 1 into 1 21.317 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 21.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 21.317 * [taylor]: Taking taylor expansion of 1/2 in U 21.317 * [backup-simplify]: Simplify 1/2 into 1/2 21.317 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 21.317 * [taylor]: Taking taylor expansion of J in U 21.317 * [backup-simplify]: Simplify J into J 21.317 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.317 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.318 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.318 * [taylor]: Taking taylor expansion of -1/2 in U 21.318 * [backup-simplify]: Simplify -1/2 into -1/2 21.318 * [taylor]: Taking taylor expansion of K in U 21.318 * [backup-simplify]: Simplify K into K 21.318 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.318 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.318 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.318 * [taylor]: Taking taylor expansion of U in U 21.318 * [backup-simplify]: Simplify 0 into 0 21.318 * [backup-simplify]: Simplify 1 into 1 21.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.318 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.318 * [backup-simplify]: Simplify (- 0) into 0 21.318 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.318 * [backup-simplify]: Simplify (+ 0) into 0 21.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.320 * [backup-simplify]: Simplify (- 0) into 0 21.320 * [backup-simplify]: Simplify (+ 0 0) into 0 21.321 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.321 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 21.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 21.321 * [taylor]: Taking taylor expansion of 1/2 in U 21.321 * [backup-simplify]: Simplify 1/2 into 1/2 21.321 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 21.321 * [taylor]: Taking taylor expansion of J in U 21.321 * [backup-simplify]: Simplify J into J 21.321 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.321 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.321 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.321 * [taylor]: Taking taylor expansion of -1/2 in U 21.321 * [backup-simplify]: Simplify -1/2 into -1/2 21.321 * [taylor]: Taking taylor expansion of K in U 21.321 * [backup-simplify]: Simplify K into K 21.321 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.321 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.321 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.321 * [taylor]: Taking taylor expansion of U in U 21.321 * [backup-simplify]: Simplify 0 into 0 21.321 * [backup-simplify]: Simplify 1 into 1 21.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.321 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.322 * [backup-simplify]: Simplify (- 0) into 0 21.322 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.322 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.322 * [backup-simplify]: Simplify (+ 0) into 0 21.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.322 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.323 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.323 * [backup-simplify]: Simplify (- 0) into 0 21.324 * [backup-simplify]: Simplify (+ 0 0) into 0 21.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.324 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 21.324 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.324 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.324 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 21.324 * [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))) 21.325 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.327 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.327 * [backup-simplify]: Simplify (- 0) into 0 21.327 * [backup-simplify]: Simplify (+ 0 0) into 0 21.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.328 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 21.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.331 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.332 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.332 * [backup-simplify]: Simplify (- 0) into 0 21.332 * [backup-simplify]: Simplify (+ 0 0) into 0 21.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.333 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 21.334 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 21.335 * [backup-simplify]: Simplify (+ 0 0) into 0 21.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 21.335 * [taylor]: Taking taylor expansion of J in U 21.335 * [backup-simplify]: Simplify J into J 21.335 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.335 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.336 * [backup-simplify]: Simplify (- 0) into 0 21.336 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.336 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 21.336 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 21.336 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 21.336 * [taylor]: Taking taylor expansion of 2 in U 21.336 * [backup-simplify]: Simplify 2 into 2 21.336 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 21.336 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 21.336 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.336 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.336 * [taylor]: Taking taylor expansion of -1/2 in U 21.336 * [backup-simplify]: Simplify -1/2 into -1/2 21.336 * [taylor]: Taking taylor expansion of K in U 21.336 * [backup-simplify]: Simplify K into K 21.336 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.336 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.337 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.337 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 21.337 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.337 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 21.337 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.337 * [taylor]: Taking taylor expansion of 1 in U 21.337 * [backup-simplify]: Simplify 1 into 1 21.337 * [taylor]: Taking taylor expansion of 1 in U 21.337 * [backup-simplify]: Simplify 1 into 1 21.337 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 21.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 21.337 * [taylor]: Taking taylor expansion of 1/2 in U 21.337 * [backup-simplify]: Simplify 1/2 into 1/2 21.337 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 21.337 * [taylor]: Taking taylor expansion of J in U 21.337 * [backup-simplify]: Simplify J into J 21.337 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.337 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.337 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.337 * [taylor]: Taking taylor expansion of -1/2 in U 21.337 * [backup-simplify]: Simplify -1/2 into -1/2 21.337 * [taylor]: Taking taylor expansion of K in U 21.337 * [backup-simplify]: Simplify K into K 21.337 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.337 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.337 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.338 * [taylor]: Taking taylor expansion of U in U 21.338 * [backup-simplify]: Simplify 0 into 0 21.338 * [backup-simplify]: Simplify 1 into 1 21.338 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.338 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.338 * [backup-simplify]: Simplify (- 0) into 0 21.338 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.338 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.339 * [backup-simplify]: Simplify (+ 0) into 0 21.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.341 * [backup-simplify]: Simplify (- 0) into 0 21.342 * [backup-simplify]: Simplify (+ 0 0) into 0 21.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.342 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 21.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 21.342 * [taylor]: Taking taylor expansion of 1/2 in U 21.342 * [backup-simplify]: Simplify 1/2 into 1/2 21.342 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 21.342 * [taylor]: Taking taylor expansion of J in U 21.342 * [backup-simplify]: Simplify J into J 21.342 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.342 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.342 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.342 * [taylor]: Taking taylor expansion of -1/2 in U 21.342 * [backup-simplify]: Simplify -1/2 into -1/2 21.342 * [taylor]: Taking taylor expansion of K in U 21.342 * [backup-simplify]: Simplify K into K 21.342 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.343 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.343 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.343 * [taylor]: Taking taylor expansion of U in U 21.343 * [backup-simplify]: Simplify 0 into 0 21.343 * [backup-simplify]: Simplify 1 into 1 21.343 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.343 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.343 * [backup-simplify]: Simplify (- 0) into 0 21.343 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.343 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.344 * [backup-simplify]: Simplify (+ 0) into 0 21.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.346 * [backup-simplify]: Simplify (- 0) into 0 21.346 * [backup-simplify]: Simplify (+ 0 0) into 0 21.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.347 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 21.347 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.347 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.347 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 21.348 * [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))) 21.348 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.351 * [backup-simplify]: Simplify (- 0) into 0 21.352 * [backup-simplify]: Simplify (+ 0 0) into 0 21.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.353 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 21.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.357 * [backup-simplify]: Simplify (- 0) into 0 21.357 * [backup-simplify]: Simplify (+ 0 0) into 0 21.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.358 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 21.359 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 21.359 * [backup-simplify]: Simplify (+ 0 0) into 0 21.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 21.360 * [taylor]: Taking taylor expansion of J in U 21.360 * [backup-simplify]: Simplify J into J 21.360 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.360 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.360 * [backup-simplify]: Simplify (- 0) into 0 21.360 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.360 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 21.361 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 21.361 * [backup-simplify]: Simplify (* 2 1/2) into 1 21.361 * [taylor]: Taking taylor expansion of 1 in J 21.361 * [backup-simplify]: Simplify 1 into 1 21.361 * [backup-simplify]: Simplify (+ 0) into 0 21.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.364 * [backup-simplify]: Simplify (- 0) into 0 21.364 * [backup-simplify]: Simplify (+ 0 0) into 0 21.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 21.365 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 21.365 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 21.366 * [taylor]: Taking taylor expansion of 0 in J 21.366 * [backup-simplify]: Simplify 0 into 0 21.366 * [taylor]: Taking taylor expansion of 1 in K 21.366 * [backup-simplify]: Simplify 1 into 1 21.366 * [backup-simplify]: Simplify 1 into 1 21.366 * [backup-simplify]: Simplify (* 1 1) into 1 21.367 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.368 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.368 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.370 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.371 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.371 * [backup-simplify]: Simplify (- 0) into 0 21.372 * [backup-simplify]: Simplify (+ 0 0) into 0 21.372 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.373 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 21.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 21.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.378 * [backup-simplify]: Simplify (- 0) into 0 21.379 * [backup-simplify]: Simplify (+ 0 0) into 0 21.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.380 * [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 21.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 21.381 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 21.382 * [backup-simplify]: Simplify (+ 1 0) into 1 21.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 21.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.385 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.386 * [backup-simplify]: Simplify (- 0) into 0 21.387 * [backup-simplify]: Simplify (+ 0 0) into 0 21.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 21.388 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 21.389 * [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))) 21.389 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 21.389 * [taylor]: Taking taylor expansion of 2 in J 21.389 * [backup-simplify]: Simplify 2 into 2 21.389 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 21.389 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 21.389 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.389 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.389 * [taylor]: Taking taylor expansion of -1/2 in J 21.389 * [backup-simplify]: Simplify -1/2 into -1/2 21.389 * [taylor]: Taking taylor expansion of K in J 21.389 * [backup-simplify]: Simplify K into K 21.389 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.389 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.389 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.389 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.389 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.390 * [backup-simplify]: Simplify (- 0) into 0 21.390 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.390 * [taylor]: Taking taylor expansion of (pow J 2) in J 21.390 * [taylor]: Taking taylor expansion of J in J 21.390 * [backup-simplify]: Simplify 0 into 0 21.390 * [backup-simplify]: Simplify 1 into 1 21.390 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 21.391 * [backup-simplify]: Simplify (* 1 1) into 1 21.391 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 21.391 * [backup-simplify]: Simplify (+ 0) into 0 21.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.393 * [backup-simplify]: Simplify (- 0) into 0 21.394 * [backup-simplify]: Simplify (+ 0 0) into 0 21.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 21.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 21.397 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 21.397 * [taylor]: Taking taylor expansion of 0 in K 21.397 * [backup-simplify]: Simplify 0 into 0 21.397 * [backup-simplify]: Simplify 0 into 0 21.397 * [taylor]: Taking taylor expansion of 0 in K 21.397 * [backup-simplify]: Simplify 0 into 0 21.397 * [backup-simplify]: Simplify 0 into 0 21.397 * [taylor]: Taking taylor expansion of 0 in K 21.397 * [backup-simplify]: Simplify 0 into 0 21.397 * [backup-simplify]: Simplify 0 into 0 21.397 * [backup-simplify]: Simplify 0 into 0 21.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.400 * [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 21.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.401 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.402 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 21.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 21.403 * [backup-simplify]: Simplify (- 0) into 0 21.403 * [backup-simplify]: Simplify (+ 0 0) into 0 21.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.404 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 21.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 21.406 * [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 21.407 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.407 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.408 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 21.408 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 21.408 * [backup-simplify]: Simplify (- 0) into 0 21.409 * [backup-simplify]: Simplify (+ 0 0) into 0 21.409 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.410 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 21.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 21.411 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 21.412 * [backup-simplify]: Simplify (+ 0 0) into 0 21.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 21.412 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.415 * [backup-simplify]: Simplify (- 0) into 0 21.415 * [backup-simplify]: Simplify (+ 0 0) into 0 21.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 21.415 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 21.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 21.416 * [taylor]: Taking taylor expansion of 0 in J 21.416 * [backup-simplify]: Simplify 0 into 0 21.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.418 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.418 * [backup-simplify]: Simplify (- 0) into 0 21.419 * [backup-simplify]: Simplify (+ 0 0) into 0 21.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 21.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 21.425 * [taylor]: Taking taylor expansion of 0 in K 21.425 * [backup-simplify]: Simplify 0 into 0 21.425 * [backup-simplify]: Simplify 0 into 0 21.425 * [taylor]: Taking taylor expansion of 0 in K 21.425 * [backup-simplify]: Simplify 0 into 0 21.425 * [backup-simplify]: Simplify 0 into 0 21.425 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 21.425 * * * [progress]: simplifying candidates 21.425 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 21.425 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 23 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 21.426 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 21.427 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 21.428 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 21.429 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 92 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 21.430 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 21.431 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 21.432 * [simplify]: Simplifying: (expm1 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (exp (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (expm1 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (exp (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (expm1 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ 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(* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) 21.434 * * [simplify]: iteration 1: (68 enodes) 21.448 * * [simplify]: iteration 2: (169 enodes) 21.542 * * [simplify]: iteration 3: (600 enodes) 22.119 * * [simplify]: Extracting #0: cost 14 inf + 0 22.120 * * [simplify]: Extracting #1: cost 228 inf + 0 22.122 * * [simplify]: Extracting #2: cost 750 inf + 1334 22.127 * * [simplify]: Extracting #3: cost 720 inf + 10611 22.136 * * [simplify]: Extracting #4: cost 702 inf + 12491 22.149 * * [simplify]: Extracting #5: cost 660 inf + 21926 22.182 * * [simplify]: Extracting #6: cost 287 inf + 158787 22.289 * * [simplify]: Extracting #7: cost 15 inf + 278958 22.377 * * [simplify]: Extracting #8: cost 0 inf + 283286 22.470 * * [simplify]: Extracting #9: cost 0 inf + 283042 22.563 * [simplify]: Simplified to: (expm1 (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (log1p (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (log (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 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(* (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (* (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (* (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (cbrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (* (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))))) (sqrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (sqrt (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (- (* (* J 2) (* (cos (/ K 2)) (cbrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) (* (- (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* J 2))) (cos (/ K 2))) (* (cos (/ K 2)) (- (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* J 2)))) (fma J -2 (* -1/4 (/ U (/ J U)))) (- U) (- U) (fma J -2 (* -1/4 (/ U (/ J U)))) (- U) (- U) (fma J -2 (* -1/4 (/ U (/ J U)))) (- U) (- U) (fma J -2 (* -1/4 (/ U (/ J U)))) (- U) (- U) 22.597 * * * [progress]: adding candidates to table 24.594 * [progress]: [Phase 3 of 3] Extracting. 24.594 * * [regime]: Finding splitpoints for: (# # # # # # # #) 24.599 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 24.599 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # #) 24.707 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # #) 24.781 * * * * [regimes]: Trying to branch on U from (# # # # # # # #) 24.865 * * * * [regimes]: Trying to branch on K from (# # # # # # # #) 24.951 * * * * [regimes]: Trying to branch on J from (# # # # # # # #) 25.014 * * * [regime]: Found split indices: #