121.292 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.150 * * * [progress]: [2/2] Setting up program. 0.155 * [progress]: [Phase 2 of 3] Improving. 0.155 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.155 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.155 * * [simplify]: iteration 1: (17 enodes) 0.159 * * [simplify]: iteration 2: (34 enodes) 0.168 * * [simplify]: iteration 3: (83 enodes) 0.204 * * [simplify]: iteration 4: (190 enodes) 0.341 * * [simplify]: iteration 5: (623 enodes) 0.978 * * [simplify]: Extracting #0: cost 1 inf + 0 0.978 * * [simplify]: Extracting #1: cost 15 inf + 0 0.978 * * [simplify]: Extracting #2: cost 17 inf + 2 0.979 * * [simplify]: Extracting #3: cost 34 inf + 45 0.979 * * [simplify]: Extracting #4: cost 211 inf + 90 0.983 * * [simplify]: Extracting #5: cost 313 inf + 10174 1.007 * * [simplify]: Extracting #6: cost 122 inf + 80178 1.063 * * [simplify]: Extracting #7: cost 7 inf + 117498 1.118 * * [simplify]: Extracting #8: cost 0 inf + 119673 1.149 * [simplify]: Simplified to: (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) 1.157 * * [progress]: iteration 1 / 4 1.157 * * * [progress]: picking best candidate 1.160 * * * * [pick]: Picked # 1.160 * * * [progress]: localizing error 1.195 * * * [progress]: generating rewritten candidates 1.195 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.268 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.296 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.312 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.334 * * * [progress]: generating series expansions 1.334 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.334 * [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))) 1.334 * [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 1.334 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 1.334 * [taylor]: Taking taylor expansion of -2 in K 1.334 * [backup-simplify]: Simplify -2 into -2 1.334 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 1.334 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.334 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.334 * [taylor]: Taking taylor expansion of 1/2 in K 1.334 * [backup-simplify]: Simplify 1/2 into 1/2 1.334 * [taylor]: Taking taylor expansion of K in K 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.336 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 1.336 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.336 * [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 1.336 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.336 * [taylor]: Taking taylor expansion of 1 in K 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of 1 in K 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.337 * [taylor]: Taking taylor expansion of 1/2 in K 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.337 * [taylor]: Taking taylor expansion of U in K 1.337 * [backup-simplify]: Simplify U into U 1.337 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.337 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.337 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.337 * [taylor]: Taking taylor expansion of 1/2 in K 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of K in K 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.338 * [taylor]: Taking taylor expansion of J in K 1.338 * [backup-simplify]: Simplify J into J 1.338 * [backup-simplify]: Simplify (* 1 J) into J 1.338 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.338 * [taylor]: Taking taylor expansion of 1/2 in K 1.338 * [backup-simplify]: Simplify 1/2 into 1/2 1.338 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.338 * [taylor]: Taking taylor expansion of U in K 1.339 * [backup-simplify]: Simplify U into U 1.339 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.339 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.339 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.339 * [taylor]: Taking taylor expansion of 1/2 in K 1.339 * [backup-simplify]: Simplify 1/2 into 1/2 1.339 * [taylor]: Taking taylor expansion of K in K 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.340 * [taylor]: Taking taylor expansion of J in K 1.340 * [backup-simplify]: Simplify J into J 1.340 * [backup-simplify]: Simplify (* 1 J) into J 1.340 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.341 * [backup-simplify]: Simplify (* 1 1) into 1 1.341 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.341 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.341 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.341 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.341 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (+ 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.343 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.344 * [backup-simplify]: Simplify (+ 0) into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.345 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.345 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.346 * [taylor]: Taking taylor expansion of J in K 1.346 * [backup-simplify]: Simplify J into J 1.346 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 1.346 * [taylor]: Taking taylor expansion of -2 in J 1.346 * [backup-simplify]: Simplify -2 into -2 1.346 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 1.346 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.346 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.346 * [taylor]: Taking taylor expansion of 1/2 in J 1.346 * [backup-simplify]: Simplify 1/2 into 1/2 1.346 * [taylor]: Taking taylor expansion of K in J 1.346 * [backup-simplify]: Simplify K into K 1.347 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.347 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.347 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.347 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 1.347 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.347 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.347 * [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 1.347 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.347 * [taylor]: Taking taylor expansion of 1 in J 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [taylor]: Taking taylor expansion of 1 in J 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.347 * [taylor]: Taking taylor expansion of 1/2 in J 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.347 * [taylor]: Taking taylor expansion of U in J 1.347 * [backup-simplify]: Simplify U into U 1.347 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.347 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.347 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.347 * [taylor]: Taking taylor expansion of 1/2 in J 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of K in J 1.347 * [backup-simplify]: Simplify K into K 1.347 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.347 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.347 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.348 * [taylor]: Taking taylor expansion of J in J 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.348 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.348 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.349 * [backup-simplify]: Simplify (+ 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.352 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.353 * [taylor]: Taking taylor expansion of 1/2 in J 1.353 * [backup-simplify]: Simplify 1/2 into 1/2 1.353 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.353 * [taylor]: Taking taylor expansion of U in J 1.353 * [backup-simplify]: Simplify U into U 1.353 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.353 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.353 * [taylor]: Taking taylor expansion of 1/2 in J 1.353 * [backup-simplify]: Simplify 1/2 into 1/2 1.353 * [taylor]: Taking taylor expansion of K in J 1.353 * [backup-simplify]: Simplify K into K 1.353 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.353 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.353 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.353 * [taylor]: Taking taylor expansion of J in J 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.353 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.354 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.354 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.354 * [backup-simplify]: Simplify (+ 0) into 0 1.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.358 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.358 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.358 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.358 * [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))) 1.359 * [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))) 1.359 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.361 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.363 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.363 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.365 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.367 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.369 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.370 * [backup-simplify]: Simplify (- 0) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.372 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 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 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.373 * [taylor]: Taking taylor expansion of -2 in U 1.373 * [backup-simplify]: Simplify -2 into -2 1.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.373 * [taylor]: Taking taylor expansion of 1/2 in U 1.373 * [backup-simplify]: Simplify 1/2 into 1/2 1.373 * [taylor]: Taking taylor expansion of K in U 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 U 1.373 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 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)))))) 1.374 * [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 1.374 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.374 * [taylor]: Taking taylor expansion of 1 in U 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [taylor]: Taking taylor expansion of 1 in U 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.374 * [taylor]: Taking taylor expansion of 1/2 in U 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.374 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.374 * [taylor]: Taking taylor expansion of U in U 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.374 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.374 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.374 * [taylor]: Taking taylor expansion of 1/2 in U 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.374 * [taylor]: Taking taylor expansion of K in U 1.374 * [backup-simplify]: Simplify K into K 1.374 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.374 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.374 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.374 * [taylor]: Taking taylor expansion of J in U 1.374 * [backup-simplify]: Simplify J into J 1.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.375 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.375 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.375 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.375 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.375 * [taylor]: Taking taylor expansion of 1/2 in U 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.375 * [taylor]: Taking taylor expansion of U in U 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.375 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.375 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.376 * [taylor]: Taking taylor expansion of 1/2 in U 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of K in U 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 U 1.376 * [backup-simplify]: Simplify J into J 1.376 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.376 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.376 * [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)) J) into (* (cos (* 1/2 K)) J) 1.377 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (+ 1 0) into 1 1.378 * [backup-simplify]: Simplify (sqrt 1) into 1 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.380 * [taylor]: Taking taylor expansion of J in U 1.380 * [backup-simplify]: Simplify J into J 1.380 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.380 * [taylor]: Taking taylor expansion of -2 in U 1.380 * [backup-simplify]: Simplify -2 into -2 1.380 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.380 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.380 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.380 * [taylor]: Taking taylor expansion of 1/2 in U 1.380 * [backup-simplify]: Simplify 1/2 into 1/2 1.380 * [taylor]: Taking taylor expansion of K in U 1.380 * [backup-simplify]: Simplify K into K 1.380 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.380 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.380 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.380 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.380 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.380 * [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 1.381 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.381 * [taylor]: Taking taylor expansion of 1 in U 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [taylor]: Taking taylor expansion of 1 in U 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.381 * [taylor]: Taking taylor expansion of 1/2 in U 1.381 * [backup-simplify]: Simplify 1/2 into 1/2 1.381 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.381 * [taylor]: Taking taylor expansion of U in U 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.381 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.381 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.381 * [taylor]: Taking taylor expansion of 1/2 in U 1.381 * [backup-simplify]: Simplify 1/2 into 1/2 1.381 * [taylor]: Taking taylor expansion of K in U 1.381 * [backup-simplify]: Simplify K into K 1.381 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.381 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.381 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.381 * [taylor]: Taking taylor expansion of J in U 1.381 * [backup-simplify]: Simplify J into J 1.381 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.381 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.382 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.382 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.382 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.382 * [taylor]: Taking taylor expansion of 1/2 in U 1.382 * [backup-simplify]: Simplify 1/2 into 1/2 1.382 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.382 * [taylor]: Taking taylor expansion of U in U 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.382 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.383 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.383 * [taylor]: Taking taylor expansion of 1/2 in U 1.383 * [backup-simplify]: Simplify 1/2 into 1/2 1.383 * [taylor]: Taking taylor expansion of K in U 1.383 * [backup-simplify]: Simplify K into K 1.383 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.383 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.383 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.383 * [taylor]: Taking taylor expansion of J in U 1.383 * [backup-simplify]: Simplify J into J 1.383 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.383 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.384 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.384 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.384 * [backup-simplify]: Simplify (* 1 1) into 1 1.385 * [backup-simplify]: Simplify (+ 1 0) into 1 1.387 * [backup-simplify]: Simplify (sqrt 1) into 1 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.389 * [taylor]: Taking taylor expansion of J in U 1.389 * [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 1.390 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.390 * [backup-simplify]: Simplify (* 1 J) into J 1.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.391 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.391 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.391 * [taylor]: Taking taylor expansion of -2 in J 1.391 * [backup-simplify]: Simplify -2 into -2 1.391 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.391 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.391 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.391 * [taylor]: Taking taylor expansion of 1/2 in J 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of K in J 1.391 * [backup-simplify]: Simplify K into K 1.391 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.391 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.391 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.391 * [taylor]: Taking taylor expansion of J in J 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.392 * [backup-simplify]: Simplify (+ 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.395 * [backup-simplify]: Simplify (- 0) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.396 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.396 * [taylor]: Taking taylor expansion of 0 in J 1.396 * [backup-simplify]: Simplify 0 into 0 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 1.397 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.397 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.397 * [backup-simplify]: Simplify (* -2 0) into 0 1.397 * [taylor]: Taking taylor expansion of 0 in K 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.399 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.399 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.399 * [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))) 1.399 * [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)))) 1.401 * [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))) 1.402 * [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))) 1.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.406 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.406 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [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))) 1.407 * [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)))) 1.407 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 1.407 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 1.407 * [taylor]: Taking taylor expansion of 1/4 in J 1.407 * [backup-simplify]: Simplify 1/4 into 1/4 1.407 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 1.407 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.407 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.407 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.407 * [taylor]: Taking taylor expansion of 1/2 in J 1.407 * [backup-simplify]: Simplify 1/2 into 1/2 1.407 * [taylor]: Taking taylor expansion of K in J 1.407 * [backup-simplify]: Simplify K into K 1.407 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.407 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.407 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.407 * [taylor]: Taking taylor expansion of J in J 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.407 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.408 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.408 * [backup-simplify]: Simplify (+ 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.409 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.410 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 1.410 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 1.410 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 1.410 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 1.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 1.410 * [taylor]: Taking taylor expansion of 1/4 in K 1.410 * [backup-simplify]: Simplify 1/4 into 1/4 1.410 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 1.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.410 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.410 * [taylor]: Taking taylor expansion of 1/2 in K 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of K in K 1.410 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.412 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.412 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.412 * [backup-simplify]: Simplify -1/4 into -1/4 1.412 * [taylor]: Taking taylor expansion of 0 in K 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 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 1.413 * [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 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.415 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 1.415 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 1.415 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.415 * [taylor]: Taking taylor expansion of 2 in K 1.415 * [backup-simplify]: Simplify 2 into 2 1.415 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.415 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.415 * [taylor]: Taking taylor expansion of 1/2 in K 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.415 * [taylor]: Taking taylor expansion of K in K 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.416 * [backup-simplify]: Simplify (* 2 1) into 2 1.416 * [backup-simplify]: Simplify (- 2) into -2 1.416 * [backup-simplify]: Simplify -2 into -2 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (+ 0) into 0 1.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.418 * [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 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.421 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.422 * [backup-simplify]: Simplify (- 0) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 1.424 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [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 1.429 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.429 * [taylor]: Taking taylor expansion of 0 in J 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [taylor]: Taking taylor expansion of 0 in K 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [taylor]: Taking taylor expansion of 0 in K 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.434 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.435 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.435 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.437 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.437 * [taylor]: Taking taylor expansion of 0 in K 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ 0) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.439 * [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)) 1.439 * [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 1.439 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 1.439 * [taylor]: Taking taylor expansion of -2 in K 1.439 * [backup-simplify]: Simplify -2 into -2 1.439 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 1.439 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 1.439 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.439 * [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 1.439 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.439 * [taylor]: Taking taylor expansion of 1 in K 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [taylor]: Taking taylor expansion of 1 in K 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.439 * [taylor]: Taking taylor expansion of 1/2 in K 1.439 * [backup-simplify]: Simplify 1/2 into 1/2 1.439 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.439 * [taylor]: Taking taylor expansion of J in K 1.439 * [backup-simplify]: Simplify J into J 1.439 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.439 * [taylor]: Taking taylor expansion of U in K 1.439 * [backup-simplify]: Simplify U into U 1.439 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.439 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.439 * [taylor]: Taking taylor expansion of 1/2 in K 1.439 * [backup-simplify]: Simplify 1/2 into 1/2 1.439 * [taylor]: Taking taylor expansion of K in K 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.440 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.440 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.440 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.440 * [taylor]: Taking taylor expansion of 1/2 in K 1.440 * [backup-simplify]: Simplify 1/2 into 1/2 1.440 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.440 * [taylor]: Taking taylor expansion of J in K 1.440 * [backup-simplify]: Simplify J into J 1.440 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.440 * [taylor]: Taking taylor expansion of U in K 1.440 * [backup-simplify]: Simplify U into U 1.440 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.440 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.440 * [taylor]: Taking taylor expansion of 1/2 in K 1.440 * [backup-simplify]: Simplify 1/2 into 1/2 1.440 * [taylor]: Taking taylor expansion of K in K 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.440 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.440 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.440 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.441 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.441 * [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)))) 1.441 * [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) 1.441 * [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)) 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.443 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.443 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.443 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 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)) 1.444 * [taylor]: Taking taylor expansion of J in K 1.444 * [backup-simplify]: Simplify J into J 1.445 * [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))) 1.445 * [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)) 1.445 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 1.445 * [taylor]: Taking taylor expansion of -2 in J 1.445 * [backup-simplify]: Simplify -2 into -2 1.445 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 1.445 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 1.445 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.445 * [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 1.445 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.445 * [taylor]: Taking taylor expansion of 1 in J 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of 1 in J 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.445 * [taylor]: Taking taylor expansion of 1/2 in J 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.445 * [taylor]: Taking taylor expansion of J in J 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.446 * [taylor]: Taking taylor expansion of U in J 1.446 * [backup-simplify]: Simplify U into U 1.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.446 * [taylor]: Taking taylor expansion of 1/2 in J 1.446 * [backup-simplify]: Simplify 1/2 into 1/2 1.446 * [taylor]: Taking taylor expansion of K in J 1.446 * [backup-simplify]: Simplify K into K 1.446 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.446 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.446 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.446 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.446 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.447 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.447 * [taylor]: Taking taylor expansion of 1/2 in J 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.447 * [taylor]: Taking taylor expansion of J in J 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.447 * [taylor]: Taking taylor expansion of U in J 1.447 * [backup-simplify]: Simplify U into U 1.447 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.447 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.447 * [taylor]: Taking taylor expansion of 1/2 in J 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of K in J 1.447 * [backup-simplify]: Simplify K into K 1.447 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.447 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.447 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.447 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.447 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.447 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.447 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (+ 1 0) into 1 1.448 * [backup-simplify]: Simplify (sqrt 1) into 1 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.449 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.449 * [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 * [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 * [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 1.450 * [backup-simplify]: Simplify (- 0) into 0 1.450 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.450 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 1.450 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.450 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.450 * [taylor]: Taking taylor expansion of -2 in U 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 U 1.450 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.450 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 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)))))))) 1.451 * [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 1.451 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.451 * [taylor]: Taking taylor expansion of 1 in U 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [taylor]: Taking taylor expansion of 1 in U 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.451 * [taylor]: Taking taylor expansion of 1/2 in U 1.451 * [backup-simplify]: Simplify 1/2 into 1/2 1.451 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.451 * [taylor]: Taking taylor expansion of J in U 1.451 * [backup-simplify]: Simplify J into J 1.451 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.451 * [taylor]: Taking taylor expansion of U in U 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.451 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.451 * [taylor]: Taking taylor expansion of 1/2 in U 1.451 * [backup-simplify]: Simplify 1/2 into 1/2 1.451 * [taylor]: Taking taylor expansion of K in U 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 1.451 * [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 (* 0 (cos (/ 1/2 K))) into 0 1.452 * [backup-simplify]: Simplify (+ 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.453 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.454 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.454 * [taylor]: Taking taylor expansion of 1/2 in U 1.454 * [backup-simplify]: Simplify 1/2 into 1/2 1.454 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.454 * [taylor]: Taking taylor expansion of J in U 1.454 * [backup-simplify]: Simplify J into J 1.454 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.454 * [taylor]: Taking taylor expansion of U in U 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.454 * [taylor]: Taking taylor expansion of 1/2 in U 1.454 * [backup-simplify]: Simplify 1/2 into 1/2 1.454 * [taylor]: Taking taylor expansion of K in U 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 * [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 1.455 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.455 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.455 * [backup-simplify]: Simplify (+ 0) into 0 1.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.457 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [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 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.458 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.458 * [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))) 1.458 * [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))) 1.458 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.459 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.460 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.460 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.461 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.463 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.463 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.464 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.465 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.465 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.466 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.466 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.466 * [taylor]: Taking taylor expansion of 1/2 in U 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of K in U 1.466 * [backup-simplify]: Simplify K into K 1.466 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.466 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.466 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.466 * [taylor]: Taking taylor expansion of J in U 1.466 * [backup-simplify]: Simplify J into J 1.466 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.466 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.467 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.467 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.467 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.467 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.467 * [taylor]: Taking taylor expansion of -2 in U 1.467 * [backup-simplify]: Simplify -2 into -2 1.467 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.467 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.467 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.467 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.467 * [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 1.467 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.467 * [taylor]: Taking taylor expansion of 1 in U 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [taylor]: Taking taylor expansion of 1 in U 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.467 * [taylor]: Taking taylor expansion of 1/2 in U 1.467 * [backup-simplify]: Simplify 1/2 into 1/2 1.467 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.467 * [taylor]: Taking taylor expansion of J in U 1.467 * [backup-simplify]: Simplify J into J 1.467 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.467 * [taylor]: Taking taylor expansion of U in U 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.467 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.467 * [taylor]: Taking taylor expansion of 1/2 in U 1.467 * [backup-simplify]: Simplify 1/2 into 1/2 1.467 * [taylor]: Taking taylor expansion of K in U 1.468 * [backup-simplify]: Simplify K into K 1.468 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.468 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.468 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.468 * [backup-simplify]: Simplify (+ 0) into 0 1.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.470 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.470 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.471 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.471 * [taylor]: Taking taylor expansion of 1/2 in U 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.471 * [taylor]: Taking taylor expansion of J in U 1.471 * [backup-simplify]: Simplify J into J 1.471 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.471 * [taylor]: Taking taylor expansion of U in U 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.471 * [taylor]: Taking taylor expansion of 1/2 in U 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of K in U 1.471 * [backup-simplify]: Simplify K into K 1.471 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.471 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.471 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.472 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.472 * [backup-simplify]: Simplify (+ 0) into 0 1.473 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.474 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.475 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.475 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.475 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.475 * [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))) 1.475 * [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))) 1.475 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.477 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.478 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.478 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.479 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.480 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.481 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.482 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.483 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.484 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.484 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.484 * [taylor]: Taking taylor expansion of 1/2 in U 1.484 * [backup-simplify]: Simplify 1/2 into 1/2 1.484 * [taylor]: Taking taylor expansion of K in U 1.484 * [backup-simplify]: Simplify K into K 1.484 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.484 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.484 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.484 * [taylor]: Taking taylor expansion of J in U 1.484 * [backup-simplify]: Simplify J into J 1.484 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.484 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.485 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.485 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.485 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.486 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.486 * [taylor]: Taking taylor expansion of -1 in J 1.486 * [backup-simplify]: Simplify -1 into -1 1.486 * [backup-simplify]: Simplify (+ 0) into 0 1.487 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.487 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.488 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.489 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.490 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.490 * [taylor]: Taking taylor expansion of 0 in J 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [taylor]: Taking taylor expansion of -1 in K 1.490 * [backup-simplify]: Simplify -1 into -1 1.490 * [backup-simplify]: Simplify -1 into -1 1.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.497 * [backup-simplify]: Simplify (+ 0 0) into 0 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.504 * [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 1.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.506 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.507 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.510 * [backup-simplify]: Simplify (- 0) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.511 * [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 1.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.512 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 1.512 * [backup-simplify]: Simplify (+ 1 0) into 1 1.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.513 * [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) 1.513 * [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)) 1.514 * [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)))) 1.514 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.514 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.514 * [taylor]: Taking taylor expansion of 2 in J 1.514 * [backup-simplify]: Simplify 2 into 2 1.514 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.514 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.514 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.514 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.514 * [taylor]: Taking taylor expansion of 1/2 in J 1.514 * [backup-simplify]: Simplify 1/2 into 1/2 1.514 * [taylor]: Taking taylor expansion of K in J 1.514 * [backup-simplify]: Simplify K into K 1.514 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.514 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.514 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.514 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.514 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.514 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.514 * [taylor]: Taking taylor expansion of J in J 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.515 * [backup-simplify]: Simplify (+ 0) into 0 1.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.517 * [backup-simplify]: Simplify (- 0) into 0 1.517 * [backup-simplify]: Simplify (+ 0 0) into 0 1.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.518 * [backup-simplify]: Simplify (- 0) into 0 1.519 * [taylor]: Taking taylor expansion of 0 in K 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [taylor]: Taking taylor expansion of 0 in K 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [taylor]: Taking taylor expansion of 0 in K 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.524 * [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 1.524 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.527 * [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 1.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.530 * [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 1.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.531 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.533 * [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 1.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.536 * [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 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.537 * [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 1.537 * [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 1.539 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.539 * [taylor]: Taking taylor expansion of 0 in J 1.539 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.541 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.542 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.543 * [backup-simplify]: Simplify (+ 0 0) into 0 1.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.547 * [taylor]: Taking taylor expansion of 0 in K 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [taylor]: Taking taylor expansion of 0 in K 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.548 * [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)) 1.548 * [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 1.548 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 1.548 * [taylor]: Taking taylor expansion of 2 in K 1.548 * [backup-simplify]: Simplify 2 into 2 1.548 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 1.548 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.548 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.548 * [taylor]: Taking taylor expansion of -1/2 in K 1.548 * [backup-simplify]: Simplify -1/2 into -1/2 1.548 * [taylor]: Taking taylor expansion of K in K 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.549 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.549 * [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 1.549 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.549 * [taylor]: Taking taylor expansion of 1 in K 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of 1 in K 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.549 * [taylor]: Taking taylor expansion of 1/2 in K 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.549 * [taylor]: Taking taylor expansion of J in K 1.549 * [backup-simplify]: Simplify J into J 1.549 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.549 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.549 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.549 * [taylor]: Taking taylor expansion of -1/2 in K 1.549 * [backup-simplify]: Simplify -1/2 into -1/2 1.549 * [taylor]: Taking taylor expansion of K in K 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.550 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.550 * [taylor]: Taking taylor expansion of U in K 1.550 * [backup-simplify]: Simplify U into U 1.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.550 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.550 * [taylor]: Taking taylor expansion of 1/2 in K 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.550 * [taylor]: Taking taylor expansion of J in K 1.550 * [backup-simplify]: Simplify J into J 1.550 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.550 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.550 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.550 * [taylor]: Taking taylor expansion of -1/2 in K 1.550 * [backup-simplify]: Simplify -1/2 into -1/2 1.550 * [taylor]: Taking taylor expansion of K in K 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.551 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.551 * [taylor]: Taking taylor expansion of U in K 1.551 * [backup-simplify]: Simplify U into U 1.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.551 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.552 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.552 * [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)))) 1.553 * [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))))) 1.553 * [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)))))) 1.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.555 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.556 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.557 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.557 * [taylor]: Taking taylor expansion of J in K 1.558 * [backup-simplify]: Simplify J into J 1.558 * [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))))))) 1.559 * [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))))))) 1.559 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 1.559 * [taylor]: Taking taylor expansion of 2 in J 1.559 * [backup-simplify]: Simplify 2 into 2 1.559 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 1.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.559 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.559 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.559 * [taylor]: Taking taylor expansion of -1/2 in J 1.559 * [backup-simplify]: Simplify -1/2 into -1/2 1.559 * [taylor]: Taking taylor expansion of K in J 1.559 * [backup-simplify]: Simplify K into K 1.559 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.559 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.559 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.559 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.559 * [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 1.559 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.559 * [taylor]: Taking taylor expansion of 1 in J 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [taylor]: Taking taylor expansion of 1 in J 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.560 * [taylor]: Taking taylor expansion of 1/2 in J 1.560 * [backup-simplify]: Simplify 1/2 into 1/2 1.560 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.560 * [taylor]: Taking taylor expansion of J in J 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.560 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.560 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.560 * [taylor]: Taking taylor expansion of -1/2 in J 1.560 * [backup-simplify]: Simplify -1/2 into -1/2 1.560 * [taylor]: Taking taylor expansion of K in J 1.560 * [backup-simplify]: Simplify K into K 1.560 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.560 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.560 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.560 * [taylor]: Taking taylor expansion of U in J 1.560 * [backup-simplify]: Simplify U into U 1.560 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.560 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.561 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.561 * [taylor]: Taking taylor expansion of 1/2 in J 1.561 * [backup-simplify]: Simplify 1/2 into 1/2 1.561 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.561 * [taylor]: Taking taylor expansion of J in J 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.561 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.561 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.561 * [taylor]: Taking taylor expansion of -1/2 in J 1.561 * [backup-simplify]: Simplify -1/2 into -1/2 1.561 * [taylor]: Taking taylor expansion of K in J 1.561 * [backup-simplify]: Simplify K into K 1.561 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.562 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.562 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.562 * [taylor]: Taking taylor expansion of U in J 1.562 * [backup-simplify]: Simplify U into U 1.562 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.562 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.562 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.563 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (+ 1 0) into 1 1.564 * [backup-simplify]: Simplify (sqrt 1) into 1 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.566 * [taylor]: Taking taylor expansion of J in J 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.566 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.566 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.566 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.566 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.566 * [taylor]: Taking taylor expansion of 2 in U 1.566 * [backup-simplify]: Simplify 2 into 2 1.566 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.566 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.566 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.566 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.566 * [taylor]: Taking taylor expansion of -1/2 in U 1.566 * [backup-simplify]: Simplify -1/2 into -1/2 1.566 * [taylor]: Taking taylor expansion of K in U 1.566 * [backup-simplify]: Simplify K into K 1.566 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.566 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.566 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.566 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.567 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.567 * [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 1.567 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.567 * [taylor]: Taking taylor expansion of 1 in U 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [taylor]: Taking taylor expansion of 1 in U 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.567 * [taylor]: Taking taylor expansion of 1/2 in U 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.567 * [taylor]: Taking taylor expansion of J in U 1.567 * [backup-simplify]: Simplify J into J 1.567 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.567 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.567 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.567 * [taylor]: Taking taylor expansion of -1/2 in U 1.567 * [backup-simplify]: Simplify -1/2 into -1/2 1.567 * [taylor]: Taking taylor expansion of K in U 1.567 * [backup-simplify]: Simplify K into K 1.567 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.567 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.567 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.567 * [taylor]: Taking taylor expansion of U in U 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.567 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0) into 0 1.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.569 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.570 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.570 * [taylor]: Taking taylor expansion of 1/2 in U 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.570 * [taylor]: Taking taylor expansion of J in U 1.570 * [backup-simplify]: Simplify J into J 1.570 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.570 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.570 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.570 * [taylor]: Taking taylor expansion of -1/2 in U 1.570 * [backup-simplify]: Simplify -1/2 into -1/2 1.570 * [taylor]: Taking taylor expansion of K in U 1.570 * [backup-simplify]: Simplify K into K 1.570 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.570 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.570 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.570 * [taylor]: Taking taylor expansion of U in U 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.570 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.571 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.571 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.571 * [backup-simplify]: Simplify (+ 0) into 0 1.571 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.572 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.573 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.573 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.573 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.573 * [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))) 1.574 * [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))) 1.574 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.575 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.575 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.576 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.576 * [backup-simplify]: Simplify (- 0) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.577 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.578 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.579 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.580 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.581 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.582 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.582 * [taylor]: Taking taylor expansion of J in U 1.582 * [backup-simplify]: Simplify J into J 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 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.583 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.583 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.583 * [taylor]: Taking taylor expansion of 2 in U 1.583 * [backup-simplify]: Simplify 2 into 2 1.583 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.583 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (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 (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.583 * [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) 1.584 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.584 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.584 * [taylor]: Taking taylor expansion of U in U 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.584 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.584 * [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 1.585 * [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 1.586 * [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))) 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.587 * [taylor]: Taking taylor expansion of 1/2 in U 1.587 * [backup-simplify]: Simplify 1/2 into 1/2 1.587 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.587 * [taylor]: Taking taylor expansion of J in U 1.587 * [backup-simplify]: Simplify J into J 1.587 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.587 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.587 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.587 * [taylor]: Taking taylor expansion of -1/2 in U 1.587 * [backup-simplify]: Simplify -1/2 into -1/2 1.587 * [taylor]: Taking taylor expansion of K in U 1.587 * [backup-simplify]: Simplify K into K 1.587 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.587 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.587 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.587 * [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 1.588 * [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 1.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.589 * [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 1.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.590 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.590 * [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)))) 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)))) 1.591 * [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 1.592 * [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 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.594 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.599 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.600 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.601 * [taylor]: Taking taylor expansion of J in U 1.601 * [backup-simplify]: Simplify J into J 1.601 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.601 * [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)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.602 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.602 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.602 * [taylor]: Taking taylor expansion of 1 in J 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (+ 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.604 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.606 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.607 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.607 * [taylor]: Taking taylor expansion of 0 in J 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [taylor]: Taking taylor expansion of 1 in K 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.616 * [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 1.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.617 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.619 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.619 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.620 * [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 1.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.621 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 1.621 * [backup-simplify]: Simplify (+ 1 0) into 1 1.622 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.623 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.624 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.624 * [backup-simplify]: Simplify (- 0) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [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) 1.625 * [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)) 1.625 * [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))) 1.625 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.625 * [taylor]: Taking taylor expansion of 2 in J 1.625 * [backup-simplify]: Simplify 2 into 2 1.626 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.626 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.626 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.626 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.626 * [taylor]: Taking taylor expansion of -1/2 in J 1.626 * [backup-simplify]: Simplify -1/2 into -1/2 1.626 * [taylor]: Taking taylor expansion of K in J 1.626 * [backup-simplify]: Simplify K into K 1.626 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.626 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.626 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.626 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.626 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.626 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.626 * [taylor]: Taking taylor expansion of J in J 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.627 * [backup-simplify]: Simplify (* 1 1) into 1 1.627 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.627 * [backup-simplify]: Simplify (+ 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.628 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.630 * [taylor]: Taking taylor expansion of 0 in K 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in K 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in K 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.632 * [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 1.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.633 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.636 * [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 1.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.638 * [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 1.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.640 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.641 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.643 * [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 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.644 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 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)))) into 0 1.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.647 * [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 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.647 * [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 1.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.648 * [taylor]: Taking taylor expansion of 0 in J 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.651 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.655 * [taylor]: Taking taylor expansion of 0 in K 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in K 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.656 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.656 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 1.656 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 1.656 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 1.656 * [taylor]: Taking taylor expansion of 2 in K 1.656 * [backup-simplify]: Simplify 2 into 2 1.656 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.656 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.656 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.656 * [taylor]: Taking taylor expansion of 1/2 in K 1.656 * [backup-simplify]: Simplify 1/2 into 1/2 1.656 * [taylor]: Taking taylor expansion of K in K 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.657 * [taylor]: Taking taylor expansion of J in K 1.657 * [backup-simplify]: Simplify J into J 1.657 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.657 * [taylor]: Taking taylor expansion of 2 in J 1.657 * [backup-simplify]: Simplify 2 into 2 1.657 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.657 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.657 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.658 * [taylor]: Taking taylor expansion of 1/2 in J 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of K in J 1.658 * [backup-simplify]: Simplify K into K 1.658 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.658 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.658 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.658 * [taylor]: Taking taylor expansion of J in J 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.658 * [taylor]: Taking taylor expansion of 2 in J 1.658 * [backup-simplify]: Simplify 2 into 2 1.658 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.658 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.658 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.658 * [taylor]: Taking taylor expansion of 1/2 in J 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of K in J 1.658 * [backup-simplify]: Simplify K into K 1.658 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.658 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.658 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.658 * [taylor]: Taking taylor expansion of J in J 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.659 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.659 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.659 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.660 * [backup-simplify]: Simplify (* 2 0) into 0 1.660 * [taylor]: Taking taylor expansion of 0 in K 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ 0) into 0 1.660 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.662 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.663 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.663 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.664 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 1.664 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.664 * [taylor]: Taking taylor expansion of 2 in K 1.664 * [backup-simplify]: Simplify 2 into 2 1.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.664 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.664 * [taylor]: Taking taylor expansion of 1/2 in K 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [taylor]: Taking taylor expansion of K in K 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.666 * [backup-simplify]: Simplify (* 2 1) into 2 1.666 * [backup-simplify]: Simplify 2 into 2 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.673 * [taylor]: Taking taylor expansion of 0 in K 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ 0) into 0 1.674 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.676 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.679 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 1.682 * [taylor]: Taking taylor expansion of 0 in K 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 1.682 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 1.682 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 1.683 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 1.683 * [taylor]: Taking taylor expansion of 2 in K 1.683 * [backup-simplify]: Simplify 2 into 2 1.683 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.683 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.683 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.683 * [taylor]: Taking taylor expansion of 1/2 in K 1.683 * [backup-simplify]: Simplify 1/2 into 1/2 1.683 * [taylor]: Taking taylor expansion of K in K 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.683 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.683 * [taylor]: Taking taylor expansion of J in K 1.683 * [backup-simplify]: Simplify J into J 1.683 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.683 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.684 * [taylor]: Taking taylor expansion of 2 in J 1.684 * [backup-simplify]: Simplify 2 into 2 1.684 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.684 * [taylor]: Taking taylor expansion of 1/2 in J 1.684 * [backup-simplify]: Simplify 1/2 into 1/2 1.684 * [taylor]: Taking taylor expansion of K in J 1.684 * [backup-simplify]: Simplify K into K 1.684 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.684 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.684 * [taylor]: Taking taylor expansion of J in J 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.684 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.685 * [backup-simplify]: Simplify (- 0) into 0 1.685 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.685 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.685 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.685 * [taylor]: Taking taylor expansion of 2 in J 1.685 * [backup-simplify]: Simplify 2 into 2 1.685 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.685 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.685 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.685 * [taylor]: Taking taylor expansion of 1/2 in J 1.685 * [backup-simplify]: Simplify 1/2 into 1/2 1.685 * [taylor]: Taking taylor expansion of K in J 1.685 * [backup-simplify]: Simplify K into K 1.685 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.685 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.685 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.685 * [taylor]: Taking taylor expansion of J in J 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.685 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.686 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.686 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.686 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 1.686 * [taylor]: Taking taylor expansion of 2 in K 1.686 * [backup-simplify]: Simplify 2 into 2 1.686 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.686 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.686 * [taylor]: Taking taylor expansion of 1/2 in K 1.686 * [backup-simplify]: Simplify 1/2 into 1/2 1.686 * [taylor]: Taking taylor expansion of K in K 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.687 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.687 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.687 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.688 * [backup-simplify]: Simplify (+ 0) into 0 1.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.692 * [taylor]: Taking taylor expansion of 0 in K 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.694 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.694 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.696 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.696 * [backup-simplify]: Simplify (- 0) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.699 * [taylor]: Taking taylor expansion of 0 in K 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.705 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.705 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.710 * [taylor]: Taking taylor expansion of 0 in K 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 1.710 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 1.710 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 1.710 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 1.710 * [taylor]: Taking taylor expansion of -2 in K 1.710 * [backup-simplify]: Simplify -2 into -2 1.710 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.710 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.710 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.710 * [taylor]: Taking taylor expansion of -1/2 in K 1.710 * [backup-simplify]: Simplify -1/2 into -1/2 1.710 * [taylor]: Taking taylor expansion of K in K 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.711 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.711 * [taylor]: Taking taylor expansion of J in K 1.711 * [backup-simplify]: Simplify J into J 1.711 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.711 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.711 * [taylor]: Taking taylor expansion of -2 in J 1.711 * [backup-simplify]: Simplify -2 into -2 1.711 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.711 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.712 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.712 * [taylor]: Taking taylor expansion of -1/2 in J 1.712 * [backup-simplify]: Simplify -1/2 into -1/2 1.712 * [taylor]: Taking taylor expansion of K in J 1.712 * [backup-simplify]: Simplify K into K 1.712 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.712 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.712 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.712 * [taylor]: Taking taylor expansion of J in J 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.712 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.713 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.713 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.713 * [taylor]: Taking taylor expansion of -2 in J 1.713 * [backup-simplify]: Simplify -2 into -2 1.713 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.713 * [taylor]: Taking taylor expansion of -1/2 in J 1.713 * [backup-simplify]: Simplify -1/2 into -1/2 1.713 * [taylor]: Taking taylor expansion of K in J 1.713 * [backup-simplify]: Simplify K into K 1.713 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.713 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.713 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.713 * [taylor]: Taking taylor expansion of J in J 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.714 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.714 * [backup-simplify]: Simplify (- 0) into 0 1.714 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.714 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.715 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.715 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 1.715 * [taylor]: Taking taylor expansion of -2 in K 1.715 * [backup-simplify]: Simplify -2 into -2 1.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.715 * [taylor]: Taking taylor expansion of -1/2 in K 1.715 * [backup-simplify]: Simplify -1/2 into -1/2 1.715 * [taylor]: Taking taylor expansion of K in K 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.716 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.716 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.716 * [backup-simplify]: Simplify (+ 0) into 0 1.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.719 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.719 * [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 1.722 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.722 * [taylor]: Taking taylor expansion of 0 in K 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [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 1.724 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.725 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.726 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.727 * [backup-simplify]: Simplify (- 0) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in K 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.737 * [backup-simplify]: Simplify (- 0) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.745 * [taylor]: Taking taylor expansion of 0 in K 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 1.745 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.745 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.745 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 1.745 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.745 * [taylor]: Taking taylor expansion of -2 in J 1.745 * [backup-simplify]: Simplify -2 into -2 1.745 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.745 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.745 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.745 * [taylor]: Taking taylor expansion of 1/2 in J 1.745 * [backup-simplify]: Simplify 1/2 into 1/2 1.745 * [taylor]: Taking taylor expansion of K in J 1.745 * [backup-simplify]: Simplify K into K 1.745 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.746 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.746 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.746 * [taylor]: Taking taylor expansion of J in J 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.746 * [taylor]: Taking taylor expansion of -2 in K 1.746 * [backup-simplify]: Simplify -2 into -2 1.746 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.746 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.746 * [taylor]: Taking taylor expansion of 1/2 in K 1.746 * [backup-simplify]: Simplify 1/2 into 1/2 1.746 * [taylor]: Taking taylor expansion of K in K 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.747 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.747 * [taylor]: Taking taylor expansion of J in K 1.747 * [backup-simplify]: Simplify J into J 1.747 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.747 * [taylor]: Taking taylor expansion of -2 in K 1.747 * [backup-simplify]: Simplify -2 into -2 1.747 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.747 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.748 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.748 * [taylor]: Taking taylor expansion of 1/2 in K 1.748 * [backup-simplify]: Simplify 1/2 into 1/2 1.748 * [taylor]: Taking taylor expansion of K in K 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.749 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.749 * [taylor]: Taking taylor expansion of J in K 1.749 * [backup-simplify]: Simplify J into J 1.749 * [backup-simplify]: Simplify (* 1 J) into J 1.749 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.749 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.749 * [taylor]: Taking taylor expansion of -2 in J 1.749 * [backup-simplify]: Simplify -2 into -2 1.749 * [taylor]: Taking taylor expansion of J in J 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (* -2 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 0) (* 0 J)) into 0 1.751 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.751 * [taylor]: Taking taylor expansion of 0 in J 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.752 * [backup-simplify]: Simplify -2 into -2 1.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.754 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.755 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.755 * [taylor]: Taking taylor expansion of 1/4 in J 1.755 * [backup-simplify]: Simplify 1/4 into 1/4 1.755 * [taylor]: Taking taylor expansion of J in J 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.759 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.761 * [taylor]: Taking taylor expansion of 0 in J 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 1.762 * [backup-simplify]: Simplify 1/4 into 1/4 1.762 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.768 * [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 1.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.771 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 1.771 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 1.771 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 1.771 * [taylor]: Taking taylor expansion of 1/192 in J 1.771 * [backup-simplify]: Simplify 1/192 into 1/192 1.771 * [taylor]: Taking taylor expansion of J in J 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (* 1/192 0) into 0 1.772 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 1.774 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.774 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 1.774 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.774 * [taylor]: Taking taylor expansion of -2 in J 1.774 * [backup-simplify]: Simplify -2 into -2 1.774 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.774 * [taylor]: Taking taylor expansion of 1/2 in J 1.774 * [backup-simplify]: Simplify 1/2 into 1/2 1.774 * [taylor]: Taking taylor expansion of K in J 1.774 * [backup-simplify]: Simplify K into K 1.774 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.774 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.774 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.774 * [taylor]: Taking taylor expansion of J in J 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.775 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.775 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.775 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.775 * [taylor]: Taking taylor expansion of -2 in K 1.775 * [backup-simplify]: Simplify -2 into -2 1.775 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.775 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.775 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.776 * [taylor]: Taking taylor expansion of 1/2 in K 1.776 * [backup-simplify]: Simplify 1/2 into 1/2 1.776 * [taylor]: Taking taylor expansion of K in K 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.776 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.776 * [taylor]: Taking taylor expansion of J in K 1.776 * [backup-simplify]: Simplify J into J 1.776 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.776 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.776 * [taylor]: Taking taylor expansion of -2 in K 1.776 * [backup-simplify]: Simplify -2 into -2 1.776 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.776 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.777 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.777 * [taylor]: Taking taylor expansion of 1/2 in K 1.777 * [backup-simplify]: Simplify 1/2 into 1/2 1.777 * [taylor]: Taking taylor expansion of K in K 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.777 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.777 * [taylor]: Taking taylor expansion of J in K 1.777 * [backup-simplify]: Simplify J into J 1.777 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.778 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 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 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.778 * [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)) 1.779 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.779 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.780 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.780 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.781 * [taylor]: Taking taylor expansion of 0 in J 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (+ 0) into 0 1.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.782 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.783 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.784 * [backup-simplify]: Simplify (- 0) into 0 1.784 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.787 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 1.787 * [taylor]: Taking taylor expansion of 0 in J 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.789 * [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 1.790 * [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 1.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.795 * [taylor]: Taking taylor expansion of 0 in J 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.797 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.800 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.804 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.804 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.804 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.804 * [taylor]: Taking taylor expansion of 2 in J 1.804 * [backup-simplify]: Simplify 2 into 2 1.804 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.804 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.804 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.804 * [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 1.805 * [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 1.806 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.806 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.806 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.806 * [taylor]: Taking taylor expansion of 2 in K 1.806 * [backup-simplify]: Simplify 2 into 2 1.806 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.806 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.806 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.806 * [taylor]: Taking taylor expansion of -1/2 in K 1.806 * [backup-simplify]: Simplify -1/2 into -1/2 1.806 * [taylor]: Taking taylor expansion of K in K 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.806 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.806 * [taylor]: Taking taylor expansion of J in K 1.806 * [backup-simplify]: Simplify J into J 1.807 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.807 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.807 * [taylor]: Taking taylor expansion of 2 in K 1.807 * [backup-simplify]: Simplify 2 into 2 1.807 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.807 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.807 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.807 * [taylor]: Taking taylor expansion of -1/2 in K 1.807 * [backup-simplify]: Simplify -1/2 into -1/2 1.807 * [taylor]: Taking taylor expansion of K in K 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.807 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.807 * [taylor]: Taking taylor expansion of J in K 1.807 * [backup-simplify]: Simplify J into J 1.808 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.808 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.808 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.808 * [taylor]: Taking taylor expansion of 2 in J 1.808 * [backup-simplify]: Simplify 2 into 2 1.808 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.808 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.808 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.808 * [taylor]: Taking taylor expansion of -1/2 in J 1.808 * [backup-simplify]: Simplify -1/2 into -1/2 1.808 * [taylor]: Taking taylor expansion of K in J 1.808 * [backup-simplify]: Simplify K into K 1.808 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.808 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.808 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.808 * [taylor]: Taking taylor expansion of J in J 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.808 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.809 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.809 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.809 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.809 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.810 * [taylor]: Taking taylor expansion of 0 in J 1.810 * [backup-simplify]: Simplify 0 into 0 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 (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.812 * [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 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.816 * [taylor]: Taking taylor expansion of 0 in J 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.818 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.820 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.823 * [taylor]: Taking taylor expansion of 0 in J 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.833 * [backup-simplify]: Simplify (/ U (* (* J 2) (cos (/ K 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.833 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 1.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.833 * [taylor]: Taking taylor expansion of 1/2 in K 1.833 * [backup-simplify]: Simplify 1/2 into 1/2 1.833 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.833 * [taylor]: Taking taylor expansion of U in K 1.833 * [backup-simplify]: Simplify U into U 1.833 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.833 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.833 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.833 * [taylor]: Taking taylor expansion of 1/2 in K 1.833 * [backup-simplify]: Simplify 1/2 into 1/2 1.833 * [taylor]: Taking taylor expansion of K in K 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.834 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.834 * [taylor]: Taking taylor expansion of J in K 1.834 * [backup-simplify]: Simplify J into J 1.834 * [backup-simplify]: Simplify (* 1 J) into J 1.834 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.835 * [taylor]: Taking taylor expansion of 1/2 in J 1.835 * [backup-simplify]: Simplify 1/2 into 1/2 1.835 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.835 * [taylor]: Taking taylor expansion of U in J 1.835 * [backup-simplify]: Simplify U into U 1.835 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.835 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.835 * [taylor]: Taking taylor expansion of 1/2 in J 1.835 * [backup-simplify]: Simplify 1/2 into 1/2 1.835 * [taylor]: Taking taylor expansion of K in J 1.835 * [backup-simplify]: Simplify K into K 1.835 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.835 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.835 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.835 * [taylor]: Taking taylor expansion of J in J 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.835 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.836 * [backup-simplify]: Simplify (- 0) into 0 1.836 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.836 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.836 * [backup-simplify]: Simplify (+ 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.838 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.838 * [backup-simplify]: Simplify (- 0) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.839 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.839 * [taylor]: Taking taylor expansion of 1/2 in U 1.839 * [backup-simplify]: Simplify 1/2 into 1/2 1.839 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.839 * [taylor]: Taking taylor expansion of U in U 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.839 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.839 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.839 * [taylor]: Taking taylor expansion of 1/2 in U 1.839 * [backup-simplify]: Simplify 1/2 into 1/2 1.839 * [taylor]: Taking taylor expansion of K in U 1.839 * [backup-simplify]: Simplify K into K 1.839 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.839 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.839 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.839 * [taylor]: Taking taylor expansion of J in U 1.839 * [backup-simplify]: Simplify J into J 1.839 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.839 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.840 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.840 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.840 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.840 * [taylor]: Taking taylor expansion of 1/2 in U 1.840 * [backup-simplify]: Simplify 1/2 into 1/2 1.840 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.840 * [taylor]: Taking taylor expansion of U in U 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.840 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.840 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.840 * [taylor]: Taking taylor expansion of 1/2 in U 1.840 * [backup-simplify]: Simplify 1/2 into 1/2 1.840 * [taylor]: Taking taylor expansion of K in U 1.840 * [backup-simplify]: Simplify K into K 1.840 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.840 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.840 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.840 * [taylor]: Taking taylor expansion of J in U 1.840 * [backup-simplify]: Simplify J into J 1.840 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.840 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.841 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.841 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.841 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 1.841 * [taylor]: Taking taylor expansion of 1/2 in J 1.841 * [backup-simplify]: Simplify 1/2 into 1/2 1.841 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.841 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.841 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.841 * [taylor]: Taking taylor expansion of 1/2 in J 1.841 * [backup-simplify]: Simplify 1/2 into 1/2 1.841 * [taylor]: Taking taylor expansion of K in J 1.841 * [backup-simplify]: Simplify K into K 1.841 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.841 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.841 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.841 * [taylor]: Taking taylor expansion of J in J 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.841 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.842 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0) into 0 1.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.843 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.844 * [backup-simplify]: Simplify (- 0) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.844 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 1.844 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 1.844 * [taylor]: Taking taylor expansion of 1/2 in K 1.844 * [backup-simplify]: Simplify 1/2 into 1/2 1.844 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.844 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.844 * [taylor]: Taking taylor expansion of 1/2 in K 1.844 * [backup-simplify]: Simplify 1/2 into 1/2 1.844 * [taylor]: Taking taylor expansion of K in K 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.845 * [backup-simplify]: Simplify 1/2 into 1/2 1.846 * [backup-simplify]: Simplify (+ 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.847 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.848 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.848 * [taylor]: Taking taylor expansion of 0 in J 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.849 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.851 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.852 * [taylor]: Taking taylor expansion of 0 in K 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify (+ 0) into 0 1.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.855 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.856 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.856 * [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 1.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 1.857 * [taylor]: Taking taylor expansion of 0 in J 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [taylor]: Taking taylor expansion of 0 in K 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.859 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.861 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.862 * [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 1.862 * [taylor]: Taking taylor expansion of 0 in K 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 1.864 * [backup-simplify]: Simplify 1/16 into 1/16 1.865 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.869 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.870 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.872 * [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 1.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 1.873 * [taylor]: Taking taylor expansion of 0 in J 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [taylor]: Taking taylor expansion of 0 in K 1.873 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [taylor]: Taking taylor expansion of 0 in K 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.876 * [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 1.879 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.883 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.884 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.884 * [backup-simplify]: Simplify (- 0) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.886 * [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 1.886 * [taylor]: Taking taylor expansion of 0 in K 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [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))) 1.887 * [backup-simplify]: Simplify (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.887 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 1.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.887 * [taylor]: Taking taylor expansion of 1/2 in K 1.887 * [backup-simplify]: Simplify 1/2 into 1/2 1.887 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.887 * [taylor]: Taking taylor expansion of J in K 1.887 * [backup-simplify]: Simplify J into J 1.887 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.888 * [taylor]: Taking taylor expansion of U in K 1.888 * [backup-simplify]: Simplify U into U 1.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.888 * [taylor]: Taking taylor expansion of 1/2 in K 1.888 * [backup-simplify]: Simplify 1/2 into 1/2 1.888 * [taylor]: Taking taylor expansion of K in K 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.888 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.888 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.888 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.889 * [taylor]: Taking taylor expansion of 1/2 in J 1.889 * [backup-simplify]: Simplify 1/2 into 1/2 1.889 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.889 * [taylor]: Taking taylor expansion of J in J 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.889 * [taylor]: Taking taylor expansion of U in J 1.889 * [backup-simplify]: Simplify U into U 1.889 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.889 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.889 * [taylor]: Taking taylor expansion of 1/2 in J 1.889 * [backup-simplify]: Simplify 1/2 into 1/2 1.889 * [taylor]: Taking taylor expansion of K in J 1.889 * [backup-simplify]: Simplify K into K 1.889 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.889 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.889 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.889 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.890 * [backup-simplify]: Simplify (- 0) into 0 1.890 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.890 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.890 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.890 * [taylor]: Taking taylor expansion of 1/2 in U 1.890 * [backup-simplify]: Simplify 1/2 into 1/2 1.890 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.890 * [taylor]: Taking taylor expansion of J in U 1.890 * [backup-simplify]: Simplify J into J 1.890 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.890 * [taylor]: Taking taylor expansion of U in U 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.890 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.890 * [taylor]: Taking taylor expansion of 1/2 in U 1.890 * [backup-simplify]: Simplify 1/2 into 1/2 1.890 * [taylor]: Taking taylor expansion of K in U 1.890 * [backup-simplify]: Simplify K into K 1.890 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.890 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.891 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.891 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.891 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.891 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.892 * [backup-simplify]: Simplify (+ 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.895 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.895 * [taylor]: Taking taylor expansion of 1/2 in U 1.895 * [backup-simplify]: Simplify 1/2 into 1/2 1.895 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.895 * [taylor]: Taking taylor expansion of J in U 1.895 * [backup-simplify]: Simplify J into J 1.895 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.895 * [taylor]: Taking taylor expansion of U in U 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.895 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.895 * [taylor]: Taking taylor expansion of 1/2 in U 1.895 * [backup-simplify]: Simplify 1/2 into 1/2 1.895 * [taylor]: Taking taylor expansion of K in U 1.895 * [backup-simplify]: Simplify K into K 1.895 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.895 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.896 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.896 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.896 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.897 * [backup-simplify]: Simplify (+ 0) into 0 1.897 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.900 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.900 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.900 * [taylor]: Taking taylor expansion of 1/2 in J 1.900 * [backup-simplify]: Simplify 1/2 into 1/2 1.900 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.900 * [taylor]: Taking taylor expansion of J in J 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.900 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.900 * [taylor]: Taking taylor expansion of 1/2 in J 1.900 * [backup-simplify]: Simplify 1/2 into 1/2 1.900 * [taylor]: Taking taylor expansion of K in J 1.900 * [backup-simplify]: Simplify K into K 1.900 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.900 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.900 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.901 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.901 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.901 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.901 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.901 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.901 * [taylor]: Taking taylor expansion of 1/2 in K 1.901 * [backup-simplify]: Simplify 1/2 into 1/2 1.901 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.902 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.902 * [taylor]: Taking taylor expansion of 1/2 in K 1.902 * [backup-simplify]: Simplify 1/2 into 1/2 1.902 * [taylor]: Taking taylor expansion of K in K 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.902 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.902 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.907 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.908 * [taylor]: Taking taylor expansion of 0 in J 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [taylor]: Taking taylor expansion of 0 in K 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [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 1.911 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.912 * [taylor]: Taking taylor expansion of 0 in K 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.918 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.919 * [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 1.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.921 * [taylor]: Taking taylor expansion of 0 in J 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [taylor]: Taking taylor expansion of 0 in K 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [taylor]: Taking taylor expansion of 0 in K 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.925 * [backup-simplify]: Simplify (- 0) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [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 1.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 1.926 * [taylor]: Taking taylor expansion of 0 in K 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [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))) 1.927 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.927 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 1.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.927 * [taylor]: Taking taylor expansion of 1/2 in K 1.927 * [backup-simplify]: Simplify 1/2 into 1/2 1.927 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.927 * [taylor]: Taking taylor expansion of J in K 1.927 * [backup-simplify]: Simplify J into J 1.927 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.927 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.927 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.927 * [taylor]: Taking taylor expansion of -1/2 in K 1.927 * [backup-simplify]: Simplify -1/2 into -1/2 1.927 * [taylor]: Taking taylor expansion of K in K 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.928 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.928 * [taylor]: Taking taylor expansion of U in K 1.928 * [backup-simplify]: Simplify U into U 1.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.928 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.928 * [taylor]: Taking taylor expansion of 1/2 in J 1.928 * [backup-simplify]: Simplify 1/2 into 1/2 1.928 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.928 * [taylor]: Taking taylor expansion of J in J 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.928 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.928 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.929 * [taylor]: Taking taylor expansion of -1/2 in J 1.929 * [backup-simplify]: Simplify -1/2 into -1/2 1.929 * [taylor]: Taking taylor expansion of K in J 1.929 * [backup-simplify]: Simplify K into K 1.929 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.929 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.929 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.929 * [taylor]: Taking taylor expansion of U in J 1.929 * [backup-simplify]: Simplify U into U 1.929 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.929 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.929 * [backup-simplify]: Simplify (- 0) into 0 1.929 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.930 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.930 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.930 * [taylor]: Taking taylor expansion of 1/2 in U 1.930 * [backup-simplify]: Simplify 1/2 into 1/2 1.930 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.930 * [taylor]: Taking taylor expansion of J in U 1.930 * [backup-simplify]: Simplify J into J 1.930 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.930 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.930 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.930 * [taylor]: Taking taylor expansion of -1/2 in U 1.930 * [backup-simplify]: Simplify -1/2 into -1/2 1.930 * [taylor]: Taking taylor expansion of K in U 1.930 * [backup-simplify]: Simplify K into K 1.930 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.930 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.930 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.930 * [taylor]: Taking taylor expansion of U in U 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.930 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0) into 0 1.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.934 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.935 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.935 * [taylor]: Taking taylor expansion of 1/2 in U 1.935 * [backup-simplify]: Simplify 1/2 into 1/2 1.935 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.935 * [taylor]: Taking taylor expansion of J in U 1.935 * [backup-simplify]: Simplify J into J 1.935 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.935 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.935 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.935 * [taylor]: Taking taylor expansion of -1/2 in U 1.935 * [backup-simplify]: Simplify -1/2 into -1/2 1.935 * [taylor]: Taking taylor expansion of K in U 1.935 * [backup-simplify]: Simplify K into K 1.935 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.935 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.935 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.935 * [taylor]: Taking taylor expansion of U in U 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.935 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.936 * [backup-simplify]: Simplify (- 0) into 0 1.936 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.936 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.936 * [backup-simplify]: Simplify (+ 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.940 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.940 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.940 * [taylor]: Taking taylor expansion of 1/2 in J 1.940 * [backup-simplify]: Simplify 1/2 into 1/2 1.940 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.940 * [taylor]: Taking taylor expansion of J in J 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.940 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.940 * [taylor]: Taking taylor expansion of -1/2 in J 1.940 * [backup-simplify]: Simplify -1/2 into -1/2 1.940 * [taylor]: Taking taylor expansion of K in J 1.940 * [backup-simplify]: Simplify K into K 1.940 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.940 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.940 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.940 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.940 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.941 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.941 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.941 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.942 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 1.942 * [taylor]: Taking taylor expansion of 1/2 in K 1.942 * [backup-simplify]: Simplify 1/2 into 1/2 1.942 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.942 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.942 * [taylor]: Taking taylor expansion of -1/2 in K 1.942 * [backup-simplify]: Simplify -1/2 into -1/2 1.942 * [taylor]: Taking taylor expansion of K in K 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.942 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.942 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.942 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.943 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.948 * [taylor]: Taking taylor expansion of 0 in J 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [taylor]: Taking taylor expansion of 0 in K 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in K 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.959 * [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 1.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.959 * [taylor]: Taking taylor expansion of 0 in J 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [taylor]: Taking taylor expansion of 0 in K 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [taylor]: Taking taylor expansion of 0 in K 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [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 1.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 1.965 * [taylor]: Taking taylor expansion of 0 in K 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [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))) 1.965 * * * [progress]: simplifying candidates 1.965 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 1.965 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 1.966 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))))> 1.967 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 1.967 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))))> 1.968 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 1.968 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 1.969 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 1.969 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 1.970 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))))> 1.971 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 1.972 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 1.972 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 1.972 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 1.972 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 1.973 * [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))) (real->posit16 (* (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))) (real->posit16 (* (* J 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)) (real->posit16 (* (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) (real->posit16 (/ U (* (* J 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)) (- (* 1/4 (* (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))) 1.976 * * [simplify]: iteration 1: (162 enodes) 2.058 * * [simplify]: iteration 2: (408 enodes) 2.242 * * [simplify]: iteration 3: (1469 enodes) 5.591 * * [simplify]: Extracting #0: cost 67 inf + 0 5.595 * * [simplify]: Extracting #1: cost 1136 inf + 0 5.621 * * [simplify]: Extracting #2: cost 2669 inf + 1999 5.654 * * [simplify]: Extracting #3: cost 2276 inf + 46768 5.707 * * [simplify]: Extracting #4: cost 1518 inf + 191306 5.842 * * [simplify]: Extracting #5: cost 561 inf + 460249 6.078 * * [simplify]: Extracting #6: cost 83 inf + 662839 6.365 * * [simplify]: Extracting #7: cost 0 inf + 705109 6.655 * * [simplify]: Extracting #8: cost 0 inf + 704109 6.899 * [simplify]: Simplified to: (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log1p (* (* (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))))) (* (* (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))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (* (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)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 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)))) (* (cos (/ K 2)) (* J 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 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)))) (* (cos (/ K 2)) (* J 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) -2) (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (* (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)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) -2) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (real->posit16 (* (* (cos (/ K 2)) (* J -2)) (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)) (exp (* (cos (/ K 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)) (* 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 (* J (sqrt (cos (/ K 2))))) (* J 2) (* 2 (cos (/ K 2))) (real->posit16 (* (cos (/ K 2)) (* J 2))) (expm1 (* (* J (cos (/ K 2))) -2)) (log1p (* (* J (cos (/ K 2))) -2)) (* (* J (cos (/ K 2))) -2) (* (* J (cos (/ K 2))) -2) (log (* (* J (cos (/ K 2))) -2)) (log (* (* J (cos (/ K 2))) -2)) (log (* (* J (cos (/ K 2))) -2)) (exp (* (* J (cos (/ K 2))) -2)) (* J (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) -8) (cos (/ K 2))) (* J J))) (* J (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) -8) (cos (/ K 2))) (* J J))) (* (cbrt (* (* J (cos (/ K 2))) -2)) (cbrt (* (* J (cos (/ K 2))) -2))) (cbrt (* (* J (cos (/ K 2))) -2)) (* J (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) -8) (cos (/ K 2))) (* J J))) (sqrt (* (* J (cos (/ K 2))) -2)) (sqrt (* (* J (cos (/ K 2))) -2)) (* -2 (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) -2) (* (sqrt (cos (/ K 2))) (* J -2)) (* (* J (cos (/ K 2))) -2) (real->posit16 (* (* J (cos (/ K 2))) -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) (* (* J (cos (/ K 2))) -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 (* (cos (/ K 2)) J)) 2) (/ J (/ U (* 2 (cos (/ K 2))))) (/ (/ U J) 2) (/ (* (cos (/ K 2)) (* J 2)) (cbrt U)) (* (/ (* J 2) (sqrt U)) (cos (/ K 2))) (/ J (/ U (* 2 (cos (/ K 2))))) (real->posit16 (/ (/ (/ U J) 2) (cos (/ K 2)))) (+ (/ (* -1/4 (* U U)) J) (* J -2)) (- U) (- U) (* J 2) (* 2 (* J (cos (* K 1/2)))) (* 2 (* J (cos (* K 1/2)))) (* J (- (* (* 1/4 K) K) 2)) (* (cos (* K 1/2)) (* J -2)) (* (cos (* K 1/2)) (* J -2)) (fma 1/16 (/ K (/ (/ J U) K)) (* 1/2 (/ U J))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))) (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 6.911 * * * [progress]: adding candidates to table 8.334 * * [progress]: iteration 2 / 4 8.334 * * * [progress]: picking best candidate 8.383 * * * * [pick]: Picked # 8.383 * * * [progress]: localizing error 8.456 * * * [progress]: generating rewritten candidates 8.456 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 8.516 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.536 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2) 8.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 8.569 * * * [progress]: generating series expansions 8.569 * * * * [progress]: [ 1 / 4 ] generating series at (2) 8.569 * [backup-simplify]: Simplify (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 8.569 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U K J) around 0 8.569 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 8.570 * [taylor]: Taking taylor expansion of -2 in J 8.570 * [backup-simplify]: Simplify -2 into -2 8.570 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 8.570 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.570 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.570 * [taylor]: Taking taylor expansion of 1/2 in J 8.570 * [backup-simplify]: Simplify 1/2 into 1/2 8.570 * [taylor]: Taking taylor expansion of K in J 8.570 * [backup-simplify]: Simplify K into K 8.570 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.570 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.570 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.570 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 8.570 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 8.570 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.570 * [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 8.570 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.570 * [taylor]: Taking taylor expansion of 1 in J 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [taylor]: Taking taylor expansion of 1 in J 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 8.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.570 * [taylor]: Taking taylor expansion of 1/2 in J 8.570 * [backup-simplify]: Simplify 1/2 into 1/2 8.570 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.570 * [taylor]: Taking taylor expansion of U in J 8.570 * [backup-simplify]: Simplify U into U 8.570 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.570 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.570 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.570 * [taylor]: Taking taylor expansion of 1/2 in J 8.570 * [backup-simplify]: Simplify 1/2 into 1/2 8.570 * [taylor]: Taking taylor expansion of K in J 8.570 * [backup-simplify]: Simplify K into K 8.570 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.570 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.570 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.570 * [taylor]: Taking taylor expansion of J in J 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.570 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.571 * [backup-simplify]: Simplify (- 0) into 0 8.571 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.571 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.571 * [backup-simplify]: Simplify (+ 0) into 0 8.572 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.573 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.574 * [backup-simplify]: Simplify (- 0) into 0 8.574 * [backup-simplify]: Simplify (+ 0 0) into 0 8.574 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.575 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 8.575 * [taylor]: Taking taylor expansion of 1/2 in J 8.575 * [backup-simplify]: Simplify 1/2 into 1/2 8.575 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 8.575 * [taylor]: Taking taylor expansion of U in J 8.575 * [backup-simplify]: Simplify U into U 8.575 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.575 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.575 * [taylor]: Taking taylor expansion of 1/2 in J 8.575 * [backup-simplify]: Simplify 1/2 into 1/2 8.575 * [taylor]: Taking taylor expansion of K in J 8.575 * [backup-simplify]: Simplify K into K 8.575 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.575 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.575 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.575 * [taylor]: Taking taylor expansion of J in J 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.575 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.576 * [backup-simplify]: Simplify (- 0) into 0 8.576 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.576 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 8.576 * [backup-simplify]: Simplify (+ 0) into 0 8.577 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.579 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.579 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 8.580 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 8.580 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.580 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.580 * [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))) 8.581 * [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))) 8.581 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.582 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.582 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.584 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.585 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.585 * [backup-simplify]: Simplify (- 0) into 0 8.586 * [backup-simplify]: Simplify (+ 0 0) into 0 8.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.587 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.589 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.591 * [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 8.592 * [backup-simplify]: Simplify (- 0) into 0 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.594 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.594 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 8.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 8.595 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 8.595 * [backup-simplify]: Simplify (+ 0 0) into 0 8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.595 * [taylor]: Taking taylor expansion of J in J 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 8.595 * [taylor]: Taking taylor expansion of -2 in K 8.595 * [backup-simplify]: Simplify -2 into -2 8.595 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 8.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.596 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.596 * [taylor]: Taking taylor expansion of 1/2 in K 8.596 * [backup-simplify]: Simplify 1/2 into 1/2 8.596 * [taylor]: Taking taylor expansion of K in K 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.597 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.597 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 8.597 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 8.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.597 * [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 8.597 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.597 * [taylor]: Taking taylor expansion of 1 in K 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [taylor]: Taking taylor expansion of 1 in K 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 8.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.597 * [taylor]: Taking taylor expansion of 1/2 in K 8.597 * [backup-simplify]: Simplify 1/2 into 1/2 8.597 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.597 * [taylor]: Taking taylor expansion of U in K 8.597 * [backup-simplify]: Simplify U into U 8.597 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.597 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.598 * [taylor]: Taking taylor expansion of 1/2 in K 8.598 * [backup-simplify]: Simplify 1/2 into 1/2 8.598 * [taylor]: Taking taylor expansion of K in K 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.599 * [taylor]: Taking taylor expansion of J in K 8.599 * [backup-simplify]: Simplify J into J 8.599 * [backup-simplify]: Simplify (* 1 J) into J 8.599 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 8.599 * [taylor]: Taking taylor expansion of 1/2 in K 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.599 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 8.599 * [taylor]: Taking taylor expansion of U in K 8.600 * [backup-simplify]: Simplify U into U 8.600 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.600 * [taylor]: Taking taylor expansion of 1/2 in K 8.600 * [backup-simplify]: Simplify 1/2 into 1/2 8.600 * [taylor]: Taking taylor expansion of K in K 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.601 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.602 * [taylor]: Taking taylor expansion of J in K 8.602 * [backup-simplify]: Simplify J into J 8.602 * [backup-simplify]: Simplify (* 1 J) into J 8.602 * [backup-simplify]: Simplify (/ U J) into (/ U J) 8.602 * [backup-simplify]: Simplify (* 1 1) into 1 8.603 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 8.603 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 8.603 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.603 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.603 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.604 * [backup-simplify]: Simplify (+ 0) into 0 8.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.605 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 8.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 8.606 * [backup-simplify]: Simplify (+ 0) into 0 8.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.607 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 8.607 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.608 * [taylor]: Taking taylor expansion of J in K 8.608 * [backup-simplify]: Simplify J into J 8.608 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 8.608 * [taylor]: Taking taylor expansion of -2 in U 8.608 * [backup-simplify]: Simplify -2 into -2 8.608 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 8.608 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.608 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.608 * [taylor]: Taking taylor expansion of 1/2 in U 8.608 * [backup-simplify]: Simplify 1/2 into 1/2 8.608 * [taylor]: Taking taylor expansion of K in U 8.608 * [backup-simplify]: Simplify K into K 8.608 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.608 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.608 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.608 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 8.609 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.609 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.609 * [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 8.609 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.609 * [taylor]: Taking taylor expansion of 1 in U 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [taylor]: Taking taylor expansion of 1 in U 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.609 * [taylor]: Taking taylor expansion of 1/2 in U 8.609 * [backup-simplify]: Simplify 1/2 into 1/2 8.609 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.609 * [taylor]: Taking taylor expansion of U in U 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.609 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.609 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.609 * [taylor]: Taking taylor expansion of 1/2 in U 8.609 * [backup-simplify]: Simplify 1/2 into 1/2 8.609 * [taylor]: Taking taylor expansion of K in U 8.609 * [backup-simplify]: Simplify K into K 8.609 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.609 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.609 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.609 * [taylor]: Taking taylor expansion of J in U 8.609 * [backup-simplify]: Simplify J into J 8.610 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.610 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.610 * [backup-simplify]: Simplify (- 0) into 0 8.610 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.610 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.610 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.611 * [taylor]: Taking taylor expansion of 1/2 in U 8.611 * [backup-simplify]: Simplify 1/2 into 1/2 8.611 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.611 * [taylor]: Taking taylor expansion of U in U 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.611 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.611 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.611 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.611 * [taylor]: Taking taylor expansion of 1/2 in U 8.611 * [backup-simplify]: Simplify 1/2 into 1/2 8.611 * [taylor]: Taking taylor expansion of K in U 8.611 * [backup-simplify]: Simplify K into K 8.611 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.611 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.611 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.611 * [taylor]: Taking taylor expansion of J in U 8.611 * [backup-simplify]: Simplify J into J 8.611 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.611 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.612 * [backup-simplify]: Simplify (- 0) into 0 8.612 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.612 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.612 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.612 * [backup-simplify]: Simplify (* 1 1) into 1 8.613 * [backup-simplify]: Simplify (+ 1 0) into 1 8.613 * [backup-simplify]: Simplify (sqrt 1) into 1 8.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.614 * [backup-simplify]: Simplify (+ 0 0) into 0 8.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.615 * [taylor]: Taking taylor expansion of J in U 8.615 * [backup-simplify]: Simplify J into J 8.615 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 8.615 * [taylor]: Taking taylor expansion of -2 in U 8.615 * [backup-simplify]: Simplify -2 into -2 8.615 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 8.615 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.615 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.615 * [taylor]: Taking taylor expansion of 1/2 in U 8.615 * [backup-simplify]: Simplify 1/2 into 1/2 8.616 * [taylor]: Taking taylor expansion of K in U 8.616 * [backup-simplify]: Simplify K into K 8.616 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.616 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.616 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.616 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 8.616 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.616 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 8.616 * [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 8.616 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.616 * [taylor]: Taking taylor expansion of 1 in U 8.616 * [backup-simplify]: Simplify 1 into 1 8.616 * [taylor]: Taking taylor expansion of 1 in U 8.616 * [backup-simplify]: Simplify 1 into 1 8.616 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 8.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.616 * [taylor]: Taking taylor expansion of 1/2 in U 8.616 * [backup-simplify]: Simplify 1/2 into 1/2 8.616 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.616 * [taylor]: Taking taylor expansion of U in U 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 1 into 1 8.616 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.616 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.616 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.616 * [taylor]: Taking taylor expansion of 1/2 in U 8.616 * [backup-simplify]: Simplify 1/2 into 1/2 8.616 * [taylor]: Taking taylor expansion of K in U 8.616 * [backup-simplify]: Simplify K into K 8.616 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.617 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.617 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.617 * [taylor]: Taking taylor expansion of J in U 8.617 * [backup-simplify]: Simplify J into J 8.617 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.617 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.617 * [backup-simplify]: Simplify (- 0) into 0 8.617 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.618 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.618 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 8.618 * [taylor]: Taking taylor expansion of 1/2 in U 8.618 * [backup-simplify]: Simplify 1/2 into 1/2 8.618 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 8.618 * [taylor]: Taking taylor expansion of U in U 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 8.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.618 * [taylor]: Taking taylor expansion of 1/2 in U 8.618 * [backup-simplify]: Simplify 1/2 into 1/2 8.618 * [taylor]: Taking taylor expansion of K in U 8.618 * [backup-simplify]: Simplify K into K 8.618 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.618 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.618 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.618 * [taylor]: Taking taylor expansion of J in U 8.618 * [backup-simplify]: Simplify J into J 8.619 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.619 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.619 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.619 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.619 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 8.620 * [backup-simplify]: Simplify (* 1 1) into 1 8.620 * [backup-simplify]: Simplify (+ 1 0) into 1 8.621 * [backup-simplify]: Simplify (sqrt 1) into 1 8.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.625 * [backup-simplify]: Simplify (+ 0 0) into 0 8.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.626 * [taylor]: Taking taylor expansion of J in U 8.626 * [backup-simplify]: Simplify J into J 8.626 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.626 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.627 * [backup-simplify]: Simplify (- 0) into 0 8.627 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.627 * [backup-simplify]: Simplify (* 1 J) into J 8.627 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 8.627 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 8.627 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 8.627 * [taylor]: Taking taylor expansion of -2 in K 8.627 * [backup-simplify]: Simplify -2 into -2 8.627 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.627 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.627 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.627 * [taylor]: Taking taylor expansion of 1/2 in K 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.627 * [taylor]: Taking taylor expansion of K in K 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.629 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.629 * [taylor]: Taking taylor expansion of J in K 8.629 * [backup-simplify]: Simplify J into J 8.629 * [backup-simplify]: Simplify (* 1 J) into J 8.629 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 8.629 * [taylor]: Taking taylor expansion of (* -2 J) in J 8.629 * [taylor]: Taking taylor expansion of -2 in J 8.629 * [backup-simplify]: Simplify -2 into -2 8.629 * [taylor]: Taking taylor expansion of J in J 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.630 * [backup-simplify]: Simplify (+ 0) into 0 8.630 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.631 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.632 * [backup-simplify]: Simplify (- 0) into 0 8.632 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.632 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 8.632 * [taylor]: Taking taylor expansion of 0 in K 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [taylor]: Taking taylor expansion of 0 in J 8.632 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (+ 0) into 0 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.633 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 8.633 * [taylor]: Taking taylor expansion of 0 in J 8.633 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (* -2 0) into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.634 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.634 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 8.635 * [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))) 8.635 * [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)))) 8.636 * [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))) 8.636 * [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))) 8.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.637 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.638 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.639 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.639 * [backup-simplify]: Simplify (- 0) into 0 8.639 * [backup-simplify]: Simplify (+ 0 0) into 0 8.640 * [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))) 8.640 * [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)))) 8.640 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 8.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 8.640 * [taylor]: Taking taylor expansion of 1/4 in K 8.640 * [backup-simplify]: Simplify 1/4 into 1/4 8.640 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 8.640 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.640 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.640 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.640 * [taylor]: Taking taylor expansion of 1/2 in K 8.640 * [backup-simplify]: Simplify 1/2 into 1/2 8.640 * [taylor]: Taking taylor expansion of K in K 8.640 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify 1 into 1 8.640 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.641 * [taylor]: Taking taylor expansion of J in K 8.641 * [backup-simplify]: Simplify J into J 8.641 * [backup-simplify]: Simplify (* 1 J) into J 8.641 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 8.641 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 8.641 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 8.641 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 8.641 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 8.641 * [taylor]: Taking taylor expansion of 1/4 in J 8.641 * [backup-simplify]: Simplify 1/4 into 1/4 8.641 * [taylor]: Taking taylor expansion of (/ 1 J) in J 8.641 * [taylor]: Taking taylor expansion of J in J 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (/ 1 1) into 1 8.642 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.642 * [backup-simplify]: Simplify (- 1/4) into -1/4 8.642 * [backup-simplify]: Simplify -1/4 into -1/4 8.642 * [taylor]: Taking taylor expansion of 0 in J 8.642 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 8.644 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 8.644 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 8.644 * [taylor]: Taking taylor expansion of 1/4 in J 8.644 * [backup-simplify]: Simplify 1/4 into 1/4 8.644 * [taylor]: Taking taylor expansion of J in J 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify 1 into 1 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 8.644 * [backup-simplify]: Simplify -2 into -2 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ 0) into 0 8.646 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.647 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.647 * [backup-simplify]: Simplify (- 0) into 0 8.647 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.648 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.648 * [backup-simplify]: Simplify (+ 0) into 0 8.649 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.650 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.650 * [backup-simplify]: Simplify (- 0) into 0 8.650 * [backup-simplify]: Simplify (+ 0 0) into 0 8.650 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 8.650 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 8.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 8.651 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 8.651 * [backup-simplify]: Simplify (+ 0 0) into 0 8.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 8.653 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.653 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 8.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.655 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.656 * [backup-simplify]: Simplify (- 0) into 0 8.656 * [backup-simplify]: Simplify (+ 0 0) into 0 8.656 * [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 8.657 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 8.657 * [taylor]: Taking taylor expansion of 0 in K 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [taylor]: Taking taylor expansion of 0 in J 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify (+ 0) into 0 8.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 8.658 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 8.659 * [backup-simplify]: Simplify (- 0) into 0 8.659 * [taylor]: Taking taylor expansion of 0 in J 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [taylor]: Taking taylor expansion of 0 in J 8.659 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.662 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 8.664 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 8.664 * [taylor]: Taking taylor expansion of 0 in J 8.664 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.666 * [backup-simplify]: Simplify (- 0) into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 8.667 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 8.668 * [backup-simplify]: Simplify (* (hypot 1 (* 1/2 (/ (/ 1 U) (* (cos (* 1/2 (/ 1 K))) (/ 1 J))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 8.669 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U K J) around 0 8.669 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 8.669 * [taylor]: Taking taylor expansion of -2 in J 8.669 * [backup-simplify]: Simplify -2 into -2 8.669 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 8.669 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 8.669 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.669 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.669 * [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 8.669 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.669 * [taylor]: Taking taylor expansion of 1 in J 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [taylor]: Taking taylor expansion of 1 in J 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 8.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.669 * [taylor]: Taking taylor expansion of 1/2 in J 8.669 * [backup-simplify]: Simplify 1/2 into 1/2 8.669 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.669 * [taylor]: Taking taylor expansion of J in J 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.669 * [taylor]: Taking taylor expansion of U in J 8.669 * [backup-simplify]: Simplify U into U 8.669 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.669 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.669 * [taylor]: Taking taylor expansion of 1/2 in J 8.669 * [backup-simplify]: Simplify 1/2 into 1/2 8.669 * [taylor]: Taking taylor expansion of K in J 8.669 * [backup-simplify]: Simplify K into K 8.669 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.669 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.670 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.670 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.670 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.670 * [backup-simplify]: Simplify (- 0) into 0 8.670 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.670 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.671 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 8.671 * [taylor]: Taking taylor expansion of 1/2 in J 8.671 * [backup-simplify]: Simplify 1/2 into 1/2 8.671 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 8.671 * [taylor]: Taking taylor expansion of J in J 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 8.671 * [taylor]: Taking taylor expansion of U in J 8.671 * [backup-simplify]: Simplify U into U 8.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.671 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.671 * [taylor]: Taking taylor expansion of 1/2 in J 8.671 * [backup-simplify]: Simplify 1/2 into 1/2 8.671 * [taylor]: Taking taylor expansion of K in J 8.671 * [backup-simplify]: Simplify K into K 8.671 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.671 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.671 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.671 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.671 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.672 * [backup-simplify]: Simplify (- 0) into 0 8.672 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.672 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.672 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 8.672 * [backup-simplify]: Simplify (* 1 1) into 1 8.673 * [backup-simplify]: Simplify (+ 1 0) into 1 8.673 * [backup-simplify]: Simplify (sqrt 1) into 1 8.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.674 * [backup-simplify]: Simplify (+ 0 0) into 0 8.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.675 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.675 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.675 * [taylor]: Taking taylor expansion of 1/2 in J 8.675 * [backup-simplify]: Simplify 1/2 into 1/2 8.675 * [taylor]: Taking taylor expansion of K in J 8.675 * [backup-simplify]: Simplify K into K 8.675 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.675 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.675 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.675 * [taylor]: Taking taylor expansion of J in J 8.675 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.676 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.676 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.676 * [backup-simplify]: Simplify (- 0) into 0 8.676 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.676 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 8.676 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.676 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 8.676 * [taylor]: Taking taylor expansion of -2 in K 8.676 * [backup-simplify]: Simplify -2 into -2 8.676 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 8.676 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 8.677 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.677 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.677 * [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 8.677 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.677 * [taylor]: Taking taylor expansion of 1 in K 8.677 * [backup-simplify]: Simplify 1 into 1 8.677 * [taylor]: Taking taylor expansion of 1 in K 8.677 * [backup-simplify]: Simplify 1 into 1 8.677 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 8.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.677 * [taylor]: Taking taylor expansion of 1/2 in K 8.677 * [backup-simplify]: Simplify 1/2 into 1/2 8.677 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.677 * [taylor]: Taking taylor expansion of J in K 8.677 * [backup-simplify]: Simplify J into J 8.677 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.677 * [taylor]: Taking taylor expansion of U in K 8.677 * [backup-simplify]: Simplify U into U 8.677 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.677 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.677 * [taylor]: Taking taylor expansion of 1/2 in K 8.677 * [backup-simplify]: Simplify 1/2 into 1/2 8.677 * [taylor]: Taking taylor expansion of K in K 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify 1 into 1 8.678 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.678 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.678 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.678 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 8.678 * [taylor]: Taking taylor expansion of 1/2 in K 8.678 * [backup-simplify]: Simplify 1/2 into 1/2 8.678 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 8.678 * [taylor]: Taking taylor expansion of J in K 8.678 * [backup-simplify]: Simplify J into J 8.678 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 8.678 * [taylor]: Taking taylor expansion of U in K 8.678 * [backup-simplify]: Simplify U into U 8.678 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.678 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.678 * [taylor]: Taking taylor expansion of 1/2 in K 8.678 * [backup-simplify]: Simplify 1/2 into 1/2 8.678 * [taylor]: Taking taylor expansion of K in K 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.679 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 8.679 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 8.680 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.680 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 8.680 * [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)))) 8.681 * [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) 8.681 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.682 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.683 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.683 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 8.684 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 8.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 8.685 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 8.685 * [backup-simplify]: Simplify (+ 0 0) into 0 8.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.685 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.685 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.686 * [taylor]: Taking taylor expansion of 1/2 in K 8.686 * [backup-simplify]: Simplify 1/2 into 1/2 8.686 * [taylor]: Taking taylor expansion of K in K 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.686 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.686 * [taylor]: Taking taylor expansion of J in K 8.686 * [backup-simplify]: Simplify J into J 8.687 * [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))) 8.687 * [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)) 8.687 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 8.687 * [taylor]: Taking taylor expansion of -2 in U 8.687 * [backup-simplify]: Simplify -2 into -2 8.687 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 8.687 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.687 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.687 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.687 * [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 8.687 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.688 * [taylor]: Taking taylor expansion of 1 in U 8.688 * [backup-simplify]: Simplify 1 into 1 8.688 * [taylor]: Taking taylor expansion of 1 in U 8.688 * [backup-simplify]: Simplify 1 into 1 8.688 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.688 * [taylor]: Taking taylor expansion of 1/2 in U 8.688 * [backup-simplify]: Simplify 1/2 into 1/2 8.688 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.688 * [taylor]: Taking taylor expansion of J in U 8.688 * [backup-simplify]: Simplify J into J 8.688 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.688 * [taylor]: Taking taylor expansion of U in U 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 1 into 1 8.688 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.688 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.688 * [taylor]: Taking taylor expansion of 1/2 in U 8.688 * [backup-simplify]: Simplify 1/2 into 1/2 8.688 * [taylor]: Taking taylor expansion of K in U 8.688 * [backup-simplify]: Simplify K into K 8.688 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.688 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.688 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.688 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.688 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.689 * [backup-simplify]: Simplify (- 0) into 0 8.689 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.689 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.689 * [backup-simplify]: Simplify (+ 0) into 0 8.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.692 * [backup-simplify]: Simplify (- 0) into 0 8.692 * [backup-simplify]: Simplify (+ 0 0) into 0 8.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.693 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.693 * [taylor]: Taking taylor expansion of 1/2 in U 8.693 * [backup-simplify]: Simplify 1/2 into 1/2 8.693 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.693 * [taylor]: Taking taylor expansion of J in U 8.693 * [backup-simplify]: Simplify J into J 8.693 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.693 * [taylor]: Taking taylor expansion of U in U 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.693 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.693 * [taylor]: Taking taylor expansion of 1/2 in U 8.693 * [backup-simplify]: Simplify 1/2 into 1/2 8.693 * [taylor]: Taking taylor expansion of K in U 8.693 * [backup-simplify]: Simplify K into K 8.693 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.693 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.693 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.693 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.694 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.694 * [backup-simplify]: Simplify (- 0) into 0 8.694 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.694 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.694 * [backup-simplify]: Simplify (+ 0) into 0 8.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.695 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.696 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.697 * [backup-simplify]: Simplify (- 0) into 0 8.697 * [backup-simplify]: Simplify (+ 0 0) into 0 8.697 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.698 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.698 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.698 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.698 * [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))) 8.698 * [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))) 8.699 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.702 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.702 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.703 * [backup-simplify]: Simplify (- 0) into 0 8.703 * [backup-simplify]: Simplify (+ 0 0) into 0 8.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.704 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.707 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.708 * [backup-simplify]: Simplify (- 0) into 0 8.709 * [backup-simplify]: Simplify (+ 0 0) into 0 8.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.710 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.711 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.711 * [backup-simplify]: Simplify (+ 0 0) into 0 8.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.711 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.711 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.711 * [taylor]: Taking taylor expansion of 1/2 in U 8.711 * [backup-simplify]: Simplify 1/2 into 1/2 8.711 * [taylor]: Taking taylor expansion of K in U 8.711 * [backup-simplify]: Simplify K into K 8.712 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.712 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.712 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.712 * [taylor]: Taking taylor expansion of J in U 8.712 * [backup-simplify]: Simplify J into J 8.712 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.712 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.712 * [backup-simplify]: Simplify (- 0) into 0 8.713 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.713 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.713 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.713 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 8.713 * [taylor]: Taking taylor expansion of -2 in U 8.713 * [backup-simplify]: Simplify -2 into -2 8.713 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 8.713 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 8.713 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 8.713 * [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 8.713 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.713 * [taylor]: Taking taylor expansion of 1 in U 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [taylor]: Taking taylor expansion of 1 in U 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 8.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.713 * [taylor]: Taking taylor expansion of 1/2 in U 8.713 * [backup-simplify]: Simplify 1/2 into 1/2 8.713 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.713 * [taylor]: Taking taylor expansion of J in U 8.713 * [backup-simplify]: Simplify J into J 8.713 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.713 * [taylor]: Taking taylor expansion of U in U 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 1 into 1 8.714 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.714 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.714 * [taylor]: Taking taylor expansion of 1/2 in U 8.714 * [backup-simplify]: Simplify 1/2 into 1/2 8.714 * [taylor]: Taking taylor expansion of K in U 8.714 * [backup-simplify]: Simplify K into K 8.714 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.714 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.714 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.714 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.714 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.714 * [backup-simplify]: Simplify (- 0) into 0 8.714 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.714 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.714 * [backup-simplify]: Simplify (+ 0) into 0 8.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.716 * [backup-simplify]: Simplify (- 0) into 0 8.716 * [backup-simplify]: Simplify (+ 0 0) into 0 8.716 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.717 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.717 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 8.717 * [taylor]: Taking taylor expansion of 1/2 in U 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 8.717 * [taylor]: Taking taylor expansion of J in U 8.717 * [backup-simplify]: Simplify J into J 8.717 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 8.717 * [taylor]: Taking taylor expansion of U in U 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.717 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.717 * [taylor]: Taking taylor expansion of 1/2 in U 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of K in U 8.717 * [backup-simplify]: Simplify K into K 8.717 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.717 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.717 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.717 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.717 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.717 * [backup-simplify]: Simplify (- 0) into 0 8.717 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.717 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 8.718 * [backup-simplify]: Simplify (+ 0) into 0 8.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.719 * [backup-simplify]: Simplify (- 0) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.720 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 8.720 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.720 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.720 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.720 * [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))) 8.720 * [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))) 8.720 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.722 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.723 * [backup-simplify]: Simplify (- 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.724 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.725 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.725 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.725 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.726 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.726 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.726 * [backup-simplify]: Simplify (- 0) into 0 8.727 * [backup-simplify]: Simplify (+ 0 0) into 0 8.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 8.727 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.728 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.728 * [taylor]: Taking taylor expansion of 1/2 in U 8.728 * [backup-simplify]: Simplify 1/2 into 1/2 8.728 * [taylor]: Taking taylor expansion of K in U 8.728 * [backup-simplify]: Simplify K into K 8.728 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.729 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.729 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.729 * [taylor]: Taking taylor expansion of J in U 8.729 * [backup-simplify]: Simplify J into J 8.729 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.729 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.729 * [backup-simplify]: Simplify (- 0) into 0 8.729 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.729 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 8.729 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.730 * [backup-simplify]: Simplify (* -2 1/2) into -1 8.730 * [taylor]: Taking taylor expansion of -1 in K 8.730 * [backup-simplify]: Simplify -1 into -1 8.730 * [taylor]: Taking taylor expansion of -1 in J 8.730 * [backup-simplify]: Simplify -1 into -1 8.730 * [backup-simplify]: Simplify (+ 0) into 0 8.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.731 * [backup-simplify]: Simplify (- 0) into 0 8.732 * [backup-simplify]: Simplify (+ 0 0) into 0 8.732 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.732 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 8.732 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 8.732 * [taylor]: Taking taylor expansion of 0 in K 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [taylor]: Taking taylor expansion of 0 in J 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [taylor]: Taking taylor expansion of 0 in J 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify -1 into -1 8.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.733 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.735 * [backup-simplify]: Simplify (- 0) into 0 8.735 * [backup-simplify]: Simplify (+ 0 0) into 0 8.735 * [backup-simplify]: Simplify (* 1 1) into 1 8.736 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.736 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.738 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.739 * [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 8.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.743 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.744 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.746 * [backup-simplify]: Simplify (- 0) into 0 8.747 * [backup-simplify]: Simplify (+ 0 0) into 0 8.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.748 * [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 8.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.749 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 8.750 * [backup-simplify]: Simplify (+ 1 0) into 1 8.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.751 * [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) 8.752 * [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)) 8.753 * [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)))) 8.753 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 8.753 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 8.753 * [taylor]: Taking taylor expansion of 2 in K 8.753 * [backup-simplify]: Simplify 2 into 2 8.753 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 8.753 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.753 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.753 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.753 * [taylor]: Taking taylor expansion of 1/2 in K 8.753 * [backup-simplify]: Simplify 1/2 into 1/2 8.753 * [taylor]: Taking taylor expansion of K in K 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.753 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.753 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.753 * [taylor]: Taking taylor expansion of J in K 8.753 * [backup-simplify]: Simplify J into J 8.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.754 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.754 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 8.754 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 8.754 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 8.754 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 8.754 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 8.754 * [taylor]: Taking taylor expansion of 2 in J 8.754 * [backup-simplify]: Simplify 2 into 2 8.754 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 8.754 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.754 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.754 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.754 * [taylor]: Taking taylor expansion of 1/2 in J 8.755 * [backup-simplify]: Simplify 1/2 into 1/2 8.755 * [taylor]: Taking taylor expansion of K in J 8.755 * [backup-simplify]: Simplify K into K 8.755 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.755 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.755 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.755 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.755 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.755 * [backup-simplify]: Simplify (- 0) into 0 8.755 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.755 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.755 * [taylor]: Taking taylor expansion of J in J 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.756 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.756 * [backup-simplify]: Simplify (* 1 1) into 1 8.756 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 8.756 * [backup-simplify]: Simplify (+ 0) into 0 8.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.757 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.758 * [backup-simplify]: Simplify (- 0) into 0 8.758 * [backup-simplify]: Simplify (+ 0 0) into 0 8.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.760 * [backup-simplify]: Simplify (- 0) into 0 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [taylor]: Taking taylor expansion of 0 in J 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [taylor]: Taking taylor expansion of 0 in J 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.762 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.762 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.763 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.763 * [backup-simplify]: Simplify (- 0) into 0 8.763 * [backup-simplify]: Simplify (+ 0 0) into 0 8.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.765 * [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 8.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.766 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.767 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.767 * [backup-simplify]: Simplify (- 0) into 0 8.768 * [backup-simplify]: Simplify (+ 0 0) into 0 8.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 8.769 * [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 8.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 8.771 * [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 8.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.772 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.773 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.773 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 8.775 * [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 8.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 8.777 * [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 8.777 * [backup-simplify]: Simplify (+ 0 0) into 0 8.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.778 * [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 8.778 * [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 8.779 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 8.779 * [taylor]: Taking taylor expansion of 0 in K 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in J 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.779 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.779 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.780 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 8.780 * [backup-simplify]: Simplify (- 0) into 0 8.780 * [taylor]: Taking taylor expansion of 0 in J 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [taylor]: Taking taylor expansion of 0 in J 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [taylor]: Taking taylor expansion of 0 in J 8.780 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.781 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.782 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.782 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.782 * [backup-simplify]: Simplify (- 0) into 0 8.782 * [backup-simplify]: Simplify (+ 0 0) into 0 8.783 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.785 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.785 * [backup-simplify]: Simplify (- 0) into 0 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 8.785 * [backup-simplify]: Simplify (* (hypot 1 (* 1/2 (/ (/ 1 (- U)) (* (cos (* 1/2 (/ 1 (- K)))) (/ 1 (- J)))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 8.786 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U K J) around 0 8.786 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 8.786 * [taylor]: Taking taylor expansion of 2 in J 8.786 * [backup-simplify]: Simplify 2 into 2 8.786 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 8.786 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 8.786 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.786 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.786 * [taylor]: Taking taylor expansion of -1/2 in J 8.786 * [backup-simplify]: Simplify -1/2 into -1/2 8.786 * [taylor]: Taking taylor expansion of K in J 8.786 * [backup-simplify]: Simplify K into K 8.786 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.786 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.786 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.786 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.786 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.786 * [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 8.786 * [taylor]: Taking taylor expansion of (* 1 1) in J 8.786 * [taylor]: Taking taylor expansion of 1 in J 8.786 * [backup-simplify]: Simplify 1 into 1 8.786 * [taylor]: Taking taylor expansion of 1 in J 8.786 * [backup-simplify]: Simplify 1 into 1 8.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 8.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.786 * [taylor]: Taking taylor expansion of 1/2 in J 8.786 * [backup-simplify]: Simplify 1/2 into 1/2 8.786 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.786 * [taylor]: Taking taylor expansion of J in J 8.786 * [backup-simplify]: Simplify 0 into 0 8.786 * [backup-simplify]: Simplify 1 into 1 8.787 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.787 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.787 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.787 * [taylor]: Taking taylor expansion of -1/2 in J 8.787 * [backup-simplify]: Simplify -1/2 into -1/2 8.787 * [taylor]: Taking taylor expansion of K in J 8.787 * [backup-simplify]: Simplify K into K 8.787 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.787 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.787 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.787 * [taylor]: Taking taylor expansion of U in J 8.787 * [backup-simplify]: Simplify U into U 8.787 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.787 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.788 * [backup-simplify]: Simplify (- 0) into 0 8.788 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.788 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.788 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 8.788 * [taylor]: Taking taylor expansion of 1/2 in J 8.788 * [backup-simplify]: Simplify 1/2 into 1/2 8.788 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 8.788 * [taylor]: Taking taylor expansion of J in J 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 1 into 1 8.788 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 8.788 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.788 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.788 * [taylor]: Taking taylor expansion of -1/2 in J 8.788 * [backup-simplify]: Simplify -1/2 into -1/2 8.788 * [taylor]: Taking taylor expansion of K in J 8.788 * [backup-simplify]: Simplify K into K 8.788 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.788 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.788 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.788 * [taylor]: Taking taylor expansion of U in J 8.788 * [backup-simplify]: Simplify U into U 8.788 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.789 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.789 * [backup-simplify]: Simplify (- 0) into 0 8.789 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.789 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.789 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 8.790 * [backup-simplify]: Simplify (* 1 1) into 1 8.790 * [backup-simplify]: Simplify (+ 1 0) into 1 8.791 * [backup-simplify]: Simplify (sqrt 1) into 1 8.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.793 * [taylor]: Taking taylor expansion of J in J 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 1 into 1 8.793 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.793 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.793 * [backup-simplify]: Simplify (- 0) into 0 8.793 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.793 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.794 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.794 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 8.794 * [taylor]: Taking taylor expansion of 2 in K 8.794 * [backup-simplify]: Simplify 2 into 2 8.794 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 8.794 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 8.794 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.794 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.794 * [taylor]: Taking taylor expansion of -1/2 in K 8.794 * [backup-simplify]: Simplify -1/2 into -1/2 8.794 * [taylor]: Taking taylor expansion of K in K 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.794 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.794 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.795 * [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 8.795 * [taylor]: Taking taylor expansion of (* 1 1) in K 8.795 * [taylor]: Taking taylor expansion of 1 in K 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of 1 in K 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 8.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.795 * [taylor]: Taking taylor expansion of 1/2 in K 8.795 * [backup-simplify]: Simplify 1/2 into 1/2 8.795 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.795 * [taylor]: Taking taylor expansion of J in K 8.795 * [backup-simplify]: Simplify J into J 8.795 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.795 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.795 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.795 * [taylor]: Taking taylor expansion of -1/2 in K 8.795 * [backup-simplify]: Simplify -1/2 into -1/2 8.795 * [taylor]: Taking taylor expansion of K in K 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.796 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.796 * [taylor]: Taking taylor expansion of U in K 8.796 * [backup-simplify]: Simplify U into U 8.796 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.796 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 8.796 * [taylor]: Taking taylor expansion of 1/2 in K 8.796 * [backup-simplify]: Simplify 1/2 into 1/2 8.796 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 8.796 * [taylor]: Taking taylor expansion of J in K 8.796 * [backup-simplify]: Simplify J into J 8.796 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 8.796 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.796 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.796 * [taylor]: Taking taylor expansion of -1/2 in K 8.796 * [backup-simplify]: Simplify -1/2 into -1/2 8.796 * [taylor]: Taking taylor expansion of K in K 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.797 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.797 * [taylor]: Taking taylor expansion of U in K 8.797 * [backup-simplify]: Simplify U into U 8.797 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 8.797 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 8.797 * [backup-simplify]: Simplify (* 1 1) into 1 8.798 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.798 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 8.798 * [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)))) 8.798 * [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))))) 8.799 * [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)))))) 8.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.800 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.800 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 8.801 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 8.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 8.802 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 8.802 * [backup-simplify]: Simplify (+ 0 0) into 0 8.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.803 * [taylor]: Taking taylor expansion of J in K 8.803 * [backup-simplify]: Simplify J into J 8.803 * [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))))))) 8.804 * [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))))))) 8.804 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 8.804 * [taylor]: Taking taylor expansion of 2 in U 8.804 * [backup-simplify]: Simplify 2 into 2 8.804 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 8.804 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.804 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.804 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.804 * [taylor]: Taking taylor expansion of -1/2 in U 8.804 * [backup-simplify]: Simplify -1/2 into -1/2 8.804 * [taylor]: Taking taylor expansion of K in U 8.804 * [backup-simplify]: Simplify K into K 8.804 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.804 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.804 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.804 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.805 * [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 8.805 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.805 * [taylor]: Taking taylor expansion of 1 in U 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [taylor]: Taking taylor expansion of 1 in U 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.805 * [taylor]: Taking taylor expansion of 1/2 in U 8.805 * [backup-simplify]: Simplify 1/2 into 1/2 8.805 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.805 * [taylor]: Taking taylor expansion of J in U 8.805 * [backup-simplify]: Simplify J into J 8.805 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.805 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.805 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.805 * [taylor]: Taking taylor expansion of -1/2 in U 8.805 * [backup-simplify]: Simplify -1/2 into -1/2 8.805 * [taylor]: Taking taylor expansion of K in U 8.805 * [backup-simplify]: Simplify K into K 8.805 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.805 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.805 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.805 * [taylor]: Taking taylor expansion of U in U 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.805 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.806 * [backup-simplify]: Simplify (- 0) into 0 8.806 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.806 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.807 * [backup-simplify]: Simplify (+ 0) into 0 8.807 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.807 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.809 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.809 * [backup-simplify]: Simplify (- 0) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.810 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.810 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.810 * [taylor]: Taking taylor expansion of 1/2 in U 8.810 * [backup-simplify]: Simplify 1/2 into 1/2 8.810 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.810 * [taylor]: Taking taylor expansion of J in U 8.810 * [backup-simplify]: Simplify J into J 8.810 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.810 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.810 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.810 * [taylor]: Taking taylor expansion of -1/2 in U 8.810 * [backup-simplify]: Simplify -1/2 into -1/2 8.810 * [taylor]: Taking taylor expansion of K in U 8.810 * [backup-simplify]: Simplify K into K 8.811 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.811 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.811 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.811 * [taylor]: Taking taylor expansion of U in U 8.811 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify 1 into 1 8.811 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.811 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.811 * [backup-simplify]: Simplify (- 0) into 0 8.811 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.812 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.812 * [backup-simplify]: Simplify (+ 0) into 0 8.813 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.813 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.815 * [backup-simplify]: Simplify (- 0) into 0 8.815 * [backup-simplify]: Simplify (+ 0 0) into 0 8.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.816 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.816 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.816 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.816 * [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))) 8.817 * [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))) 8.817 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.818 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.820 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.821 * [backup-simplify]: Simplify (- 0) into 0 8.821 * [backup-simplify]: Simplify (+ 0 0) into 0 8.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.823 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.825 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.827 * [backup-simplify]: Simplify (- 0) into 0 8.827 * [backup-simplify]: Simplify (+ 0 0) into 0 8.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.828 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.829 * [backup-simplify]: Simplify (+ 0 0) into 0 8.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.830 * [taylor]: Taking taylor expansion of J in U 8.830 * [backup-simplify]: Simplify J into J 8.830 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.830 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.830 * [backup-simplify]: Simplify (- 0) into 0 8.830 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.831 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.831 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.831 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 8.831 * [taylor]: Taking taylor expansion of 2 in U 8.831 * [backup-simplify]: Simplify 2 into 2 8.831 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 8.831 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 8.831 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.831 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.831 * [taylor]: Taking taylor expansion of -1/2 in U 8.831 * [backup-simplify]: Simplify -1/2 into -1/2 8.831 * [taylor]: Taking taylor expansion of K in U 8.831 * [backup-simplify]: Simplify K into K 8.831 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.831 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.831 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.831 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 8.831 * [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 8.831 * [taylor]: Taking taylor expansion of (* 1 1) in U 8.831 * [taylor]: Taking taylor expansion of 1 in U 8.831 * [backup-simplify]: Simplify 1 into 1 8.831 * [taylor]: Taking taylor expansion of 1 in U 8.831 * [backup-simplify]: Simplify 1 into 1 8.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 8.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.831 * [taylor]: Taking taylor expansion of 1/2 in U 8.831 * [backup-simplify]: Simplify 1/2 into 1/2 8.831 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.832 * [taylor]: Taking taylor expansion of J in U 8.832 * [backup-simplify]: Simplify J into J 8.832 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.832 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.832 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.832 * [taylor]: Taking taylor expansion of -1/2 in U 8.832 * [backup-simplify]: Simplify -1/2 into -1/2 8.832 * [taylor]: Taking taylor expansion of K in U 8.832 * [backup-simplify]: Simplify K into K 8.832 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.832 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.832 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.832 * [taylor]: Taking taylor expansion of U in U 8.832 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify 1 into 1 8.832 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.832 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.833 * [backup-simplify]: Simplify (- 0) into 0 8.833 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.833 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.833 * [backup-simplify]: Simplify (+ 0) into 0 8.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.835 * [backup-simplify]: Simplify (- 0) into 0 8.836 * [backup-simplify]: Simplify (+ 0 0) into 0 8.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.836 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 8.836 * [taylor]: Taking taylor expansion of 1/2 in U 8.836 * [backup-simplify]: Simplify 1/2 into 1/2 8.836 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 8.836 * [taylor]: Taking taylor expansion of J in U 8.836 * [backup-simplify]: Simplify J into J 8.836 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 8.836 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.837 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.837 * [taylor]: Taking taylor expansion of -1/2 in U 8.837 * [backup-simplify]: Simplify -1/2 into -1/2 8.837 * [taylor]: Taking taylor expansion of K in U 8.837 * [backup-simplify]: Simplify K into K 8.837 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.837 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.837 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.837 * [taylor]: Taking taylor expansion of U in U 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.837 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.837 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.837 * [backup-simplify]: Simplify (- 0) into 0 8.838 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.838 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 8.838 * [backup-simplify]: Simplify (+ 0) into 0 8.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.839 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.840 * [backup-simplify]: Simplify (- 0) into 0 8.841 * [backup-simplify]: Simplify (+ 0 0) into 0 8.841 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 8.841 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.841 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.841 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.842 * [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))) 8.842 * [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))) 8.842 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.843 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.846 * [backup-simplify]: Simplify (- 0) into 0 8.846 * [backup-simplify]: Simplify (+ 0 0) into 0 8.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.847 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.851 * [backup-simplify]: Simplify (- 0) into 0 8.852 * [backup-simplify]: Simplify (+ 0 0) into 0 8.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 8.853 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.853 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.854 * [backup-simplify]: Simplify (+ 0 0) into 0 8.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.854 * [taylor]: Taking taylor expansion of J in U 8.854 * [backup-simplify]: Simplify J into J 8.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.855 * [backup-simplify]: Simplify (- 0) into 0 8.855 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.855 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 8.855 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 8.855 * [backup-simplify]: Simplify (* 2 1/2) into 1 8.855 * [taylor]: Taking taylor expansion of 1 in K 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [taylor]: Taking taylor expansion of 1 in J 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (+ 0) into 0 8.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.858 * [backup-simplify]: Simplify (- 0) into 0 8.859 * [backup-simplify]: Simplify (+ 0 0) into 0 8.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.859 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 8.860 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 8.860 * [taylor]: Taking taylor expansion of 0 in K 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [taylor]: Taking taylor expansion of 0 in J 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [taylor]: Taking taylor expansion of 0 in J 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.860 * [backup-simplify]: Simplify (* 1 1) into 1 8.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.865 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.865 * [backup-simplify]: Simplify (- 0) into 0 8.866 * [backup-simplify]: Simplify (+ 0 0) into 0 8.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.867 * [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 8.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.869 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.870 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.876 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.877 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.877 * [backup-simplify]: Simplify (- 0) into 0 8.878 * [backup-simplify]: Simplify (+ 0 0) into 0 8.879 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.879 * [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 8.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.880 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 8.881 * [backup-simplify]: Simplify (+ 1 0) into 1 8.882 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.884 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.885 * [backup-simplify]: Simplify (- 0) into 0 8.886 * [backup-simplify]: Simplify (+ 0 0) into 0 8.886 * [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) 8.887 * [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)) 8.888 * [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))) 8.888 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 8.888 * [taylor]: Taking taylor expansion of 2 in K 8.888 * [backup-simplify]: Simplify 2 into 2 8.888 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 8.888 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.888 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.888 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.888 * [taylor]: Taking taylor expansion of -1/2 in K 8.888 * [backup-simplify]: Simplify -1/2 into -1/2 8.888 * [taylor]: Taking taylor expansion of K in K 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.888 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.889 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.889 * [taylor]: Taking taylor expansion of J in K 8.889 * [backup-simplify]: Simplify J into J 8.889 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.889 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.889 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 8.889 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 8.889 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 8.889 * [taylor]: Taking taylor expansion of 2 in J 8.889 * [backup-simplify]: Simplify 2 into 2 8.889 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 8.889 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.889 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.889 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.889 * [taylor]: Taking taylor expansion of -1/2 in J 8.889 * [backup-simplify]: Simplify -1/2 into -1/2 8.889 * [taylor]: Taking taylor expansion of K in J 8.889 * [backup-simplify]: Simplify K into K 8.889 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.890 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.890 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.890 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.890 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.890 * [backup-simplify]: Simplify (- 0) into 0 8.890 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.890 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.890 * [taylor]: Taking taylor expansion of J in J 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.891 * [backup-simplify]: Simplify (* 1 1) into 1 8.891 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.891 * [backup-simplify]: Simplify (+ 0) into 0 8.892 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.894 * [backup-simplify]: Simplify (- 0) into 0 8.894 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 8.896 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [taylor]: Taking taylor expansion of 0 in J 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [taylor]: Taking taylor expansion of 0 in J 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.900 * [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 8.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.901 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.903 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.905 * [backup-simplify]: Simplify (- 0) into 0 8.905 * [backup-simplify]: Simplify (+ 0 0) into 0 8.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.906 * [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 8.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 8.910 * [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 8.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.912 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.913 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.914 * [backup-simplify]: Simplify (- 0) into 0 8.915 * [backup-simplify]: Simplify (+ 0 0) into 0 8.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.916 * [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 8.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 8.918 * [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 8.919 * [backup-simplify]: Simplify (+ 0 0) into 0 8.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.920 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.923 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.924 * [backup-simplify]: Simplify (- 0) into 0 8.924 * [backup-simplify]: Simplify (+ 0 0) into 0 8.925 * [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 8.925 * [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 8.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 8.926 * [taylor]: Taking taylor expansion of 0 in K 8.926 * [backup-simplify]: Simplify 0 into 0 8.927 * [taylor]: Taking taylor expansion of 0 in J 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.927 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.927 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.928 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 8.928 * [taylor]: Taking taylor expansion of 0 in J 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [taylor]: Taking taylor expansion of 0 in J 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [taylor]: Taking taylor expansion of 0 in J 8.928 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.931 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.932 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.932 * [backup-simplify]: Simplify (- 0) into 0 8.932 * [backup-simplify]: Simplify (+ 0 0) into 0 8.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 8.936 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.937 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 8.937 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 8.937 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 8.937 * [taylor]: Taking taylor expansion of -2 in J 8.937 * [backup-simplify]: Simplify -2 into -2 8.937 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 8.937 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.937 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.937 * [taylor]: Taking taylor expansion of 1/2 in J 8.937 * [backup-simplify]: Simplify 1/2 into 1/2 8.937 * [taylor]: Taking taylor expansion of K in J 8.937 * [backup-simplify]: Simplify K into K 8.937 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.937 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.937 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.937 * [taylor]: Taking taylor expansion of J in J 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 1 into 1 8.937 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 8.937 * [taylor]: Taking taylor expansion of -2 in K 8.937 * [backup-simplify]: Simplify -2 into -2 8.937 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.937 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.937 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.937 * [taylor]: Taking taylor expansion of 1/2 in K 8.937 * [backup-simplify]: Simplify 1/2 into 1/2 8.937 * [taylor]: Taking taylor expansion of K in K 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 1 into 1 8.938 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.939 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.939 * [taylor]: Taking taylor expansion of J in K 8.939 * [backup-simplify]: Simplify J into J 8.939 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 8.939 * [taylor]: Taking taylor expansion of -2 in K 8.939 * [backup-simplify]: Simplify -2 into -2 8.939 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 8.939 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.939 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.939 * [taylor]: Taking taylor expansion of 1/2 in K 8.939 * [backup-simplify]: Simplify 1/2 into 1/2 8.939 * [taylor]: Taking taylor expansion of K in K 8.939 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify 1 into 1 8.940 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.940 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.940 * [taylor]: Taking taylor expansion of J in K 8.940 * [backup-simplify]: Simplify J into J 8.940 * [backup-simplify]: Simplify (* 1 J) into J 8.940 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 8.941 * [taylor]: Taking taylor expansion of (* -2 J) in J 8.941 * [taylor]: Taking taylor expansion of -2 in J 8.941 * [backup-simplify]: Simplify -2 into -2 8.941 * [taylor]: Taking taylor expansion of J in J 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify 1 into 1 8.941 * [backup-simplify]: Simplify (* -2 0) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify (+ 0) into 0 8.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 8.942 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 8.942 * [taylor]: Taking taylor expansion of 0 in J 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 8.943 * [backup-simplify]: Simplify -2 into -2 8.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 8.946 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 8.946 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 8.946 * [taylor]: Taking taylor expansion of 1/4 in J 8.946 * [backup-simplify]: Simplify 1/4 into 1/4 8.946 * [taylor]: Taking taylor expansion of J in J 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 8.947 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.950 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 8.952 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 8.952 * [taylor]: Taking taylor expansion of 0 in J 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 8.953 * [backup-simplify]: Simplify 1/4 into 1/4 8.953 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.954 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.958 * [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 8.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 8.961 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 8.961 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 8.961 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 8.961 * [taylor]: Taking taylor expansion of 1/192 in J 8.961 * [backup-simplify]: Simplify 1/192 into 1/192 8.961 * [taylor]: Taking taylor expansion of J in J 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.962 * [backup-simplify]: Simplify (* 1/192 0) into 0 8.962 * [backup-simplify]: Simplify (- 0) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 8.964 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 8.964 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 8.964 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 8.964 * [taylor]: Taking taylor expansion of -2 in J 8.964 * [backup-simplify]: Simplify -2 into -2 8.964 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.964 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.964 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.964 * [taylor]: Taking taylor expansion of 1/2 in J 8.964 * [backup-simplify]: Simplify 1/2 into 1/2 8.964 * [taylor]: Taking taylor expansion of K in J 8.964 * [backup-simplify]: Simplify K into K 8.964 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.964 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.964 * [taylor]: Taking taylor expansion of J in J 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.964 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.965 * [backup-simplify]: Simplify (- 0) into 0 8.965 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.965 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.965 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 8.965 * [taylor]: Taking taylor expansion of -2 in K 8.965 * [backup-simplify]: Simplify -2 into -2 8.965 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 8.965 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.965 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.965 * [taylor]: Taking taylor expansion of 1/2 in K 8.965 * [backup-simplify]: Simplify 1/2 into 1/2 8.965 * [taylor]: Taking taylor expansion of K in K 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 1 into 1 8.966 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.966 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.966 * [taylor]: Taking taylor expansion of J in K 8.966 * [backup-simplify]: Simplify J into J 8.966 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 8.966 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 8.966 * [taylor]: Taking taylor expansion of -2 in K 8.966 * [backup-simplify]: Simplify -2 into -2 8.966 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 8.966 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.966 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.966 * [taylor]: Taking taylor expansion of 1/2 in K 8.966 * [backup-simplify]: Simplify 1/2 into 1/2 8.966 * [taylor]: Taking taylor expansion of K in K 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 1 into 1 8.967 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.967 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.967 * [taylor]: Taking taylor expansion of J in K 8.967 * [backup-simplify]: Simplify J into J 8.967 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 8.967 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 8.967 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 8.967 * [taylor]: Taking taylor expansion of -2 in J 8.967 * [backup-simplify]: Simplify -2 into -2 8.967 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.967 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.967 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.967 * [taylor]: Taking taylor expansion of 1/2 in J 8.967 * [backup-simplify]: Simplify 1/2 into 1/2 8.967 * [taylor]: Taking taylor expansion of K in J 8.967 * [backup-simplify]: Simplify K into K 8.967 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.967 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.968 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.968 * [taylor]: Taking taylor expansion of J in J 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.968 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.968 * [backup-simplify]: Simplify (- 0) into 0 8.968 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.968 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.969 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 8.969 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 8.969 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 8.969 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 8.969 * [taylor]: Taking taylor expansion of 0 in J 8.969 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify (+ 0) into 0 8.970 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.970 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.972 * [backup-simplify]: Simplify (- 0) into 0 8.972 * [backup-simplify]: Simplify (+ 0 0) into 0 8.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.974 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 8.974 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 8.974 * [taylor]: Taking taylor expansion of 0 in J 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.977 * [backup-simplify]: Simplify (- 0) into 0 8.977 * [backup-simplify]: Simplify (+ 0 0) into 0 8.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 8.979 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 8.979 * [taylor]: Taking taylor expansion of 0 in J 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.981 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.982 * [backup-simplify]: Simplify (- 0) into 0 8.982 * [backup-simplify]: Simplify (+ 0 0) into 0 8.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.984 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 8.985 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 8.985 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 8.985 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 8.985 * [taylor]: Taking taylor expansion of 2 in J 8.985 * [backup-simplify]: Simplify 2 into 2 8.985 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.985 * [taylor]: Taking taylor expansion of -1/2 in J 8.985 * [backup-simplify]: Simplify -1/2 into -1/2 8.985 * [taylor]: Taking taylor expansion of K in J 8.985 * [backup-simplify]: Simplify K into K 8.985 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.985 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.985 * [taylor]: Taking taylor expansion of J in J 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.985 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.985 * [backup-simplify]: Simplify (- 0) into 0 8.985 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.985 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.985 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 8.985 * [taylor]: Taking taylor expansion of 2 in K 8.986 * [backup-simplify]: Simplify 2 into 2 8.986 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 8.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.986 * [taylor]: Taking taylor expansion of -1/2 in K 8.986 * [backup-simplify]: Simplify -1/2 into -1/2 8.986 * [taylor]: Taking taylor expansion of K in K 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.986 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.986 * [taylor]: Taking taylor expansion of J in K 8.986 * [backup-simplify]: Simplify J into J 8.986 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 8.986 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 8.986 * [taylor]: Taking taylor expansion of 2 in K 8.986 * [backup-simplify]: Simplify 2 into 2 8.986 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 8.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.986 * [taylor]: Taking taylor expansion of -1/2 in K 8.986 * [backup-simplify]: Simplify -1/2 into -1/2 8.986 * [taylor]: Taking taylor expansion of K in K 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.986 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.987 * [taylor]: Taking taylor expansion of J in K 8.987 * [backup-simplify]: Simplify J into J 8.987 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 8.987 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 8.987 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 8.987 * [taylor]: Taking taylor expansion of 2 in J 8.987 * [backup-simplify]: Simplify 2 into 2 8.987 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.987 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.987 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.987 * [taylor]: Taking taylor expansion of -1/2 in J 8.987 * [backup-simplify]: Simplify -1/2 into -1/2 8.987 * [taylor]: Taking taylor expansion of K in J 8.987 * [backup-simplify]: Simplify K into K 8.987 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.987 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.987 * [taylor]: Taking taylor expansion of J in J 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 1 into 1 8.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.987 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.987 * [backup-simplify]: Simplify (- 0) into 0 8.987 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.988 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.988 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 8.988 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 8.988 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 8.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 8.988 * [taylor]: Taking taylor expansion of 0 in J 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (+ 0) into 0 8.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.990 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.990 * [backup-simplify]: Simplify (- 0) into 0 8.990 * [backup-simplify]: Simplify (+ 0 0) into 0 8.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 8.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 8.992 * [taylor]: Taking taylor expansion of 0 in J 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.994 * [backup-simplify]: Simplify (- 0) into 0 8.995 * [backup-simplify]: Simplify (+ 0 0) into 0 8.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.996 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 8.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 8.997 * [taylor]: Taking taylor expansion of 0 in J 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.998 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.000 * [backup-simplify]: Simplify (- 0) into 0 9.000 * [backup-simplify]: Simplify (+ 0 0) into 0 9.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 9.002 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2) 9.002 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.002 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 9.002 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.002 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.002 * [taylor]: Taking taylor expansion of 1/2 in J 9.002 * [backup-simplify]: Simplify 1/2 into 1/2 9.002 * [taylor]: Taking taylor expansion of K in J 9.002 * [backup-simplify]: Simplify K into K 9.002 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.002 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.003 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.003 * [taylor]: Taking taylor expansion of J in J 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.003 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.003 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.003 * [taylor]: Taking taylor expansion of 1/2 in K 9.003 * [backup-simplify]: Simplify 1/2 into 1/2 9.003 * [taylor]: Taking taylor expansion of K in K 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.007 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.007 * [taylor]: Taking taylor expansion of J in K 9.007 * [backup-simplify]: Simplify J into J 9.007 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.007 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.007 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.007 * [taylor]: Taking taylor expansion of 1/2 in K 9.007 * [backup-simplify]: Simplify 1/2 into 1/2 9.007 * [taylor]: Taking taylor expansion of K in K 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify 1 into 1 9.008 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.009 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.009 * [taylor]: Taking taylor expansion of J in K 9.009 * [backup-simplify]: Simplify J into J 9.009 * [backup-simplify]: Simplify (* 1 J) into J 9.009 * [taylor]: Taking taylor expansion of J in J 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify (+ 0) into 0 9.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.010 * [taylor]: Taking taylor expansion of 0 in J 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 9.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 9.012 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 9.012 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 9.012 * [taylor]: Taking taylor expansion of 1/8 in J 9.012 * [backup-simplify]: Simplify 1/8 into 1/8 9.012 * [taylor]: Taking taylor expansion of J in J 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [backup-simplify]: Simplify (* 1/8 0) into 0 9.013 * [backup-simplify]: Simplify (- 0) into 0 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.015 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 9.016 * [taylor]: Taking taylor expansion of 0 in J 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 9.017 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.017 * [backup-simplify]: Simplify -1/8 into -1/8 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.021 * [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 9.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 9.023 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 9.023 * [taylor]: Taking taylor expansion of 1/384 in J 9.023 * [backup-simplify]: Simplify 1/384 into 1/384 9.023 * [taylor]: Taking taylor expansion of J in J 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 1 into 1 9.024 * [backup-simplify]: Simplify (* 1/384 0) into 0 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 9.025 * [backup-simplify]: Simplify (- 0) into 0 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 9.026 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 K))) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 9.026 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 9.026 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.026 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.026 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.026 * [taylor]: Taking taylor expansion of 1/2 in J 9.026 * [backup-simplify]: Simplify 1/2 into 1/2 9.026 * [taylor]: Taking taylor expansion of K in J 9.026 * [backup-simplify]: Simplify K into K 9.026 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.026 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.026 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.026 * [taylor]: Taking taylor expansion of J in J 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.026 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.027 * [backup-simplify]: Simplify (- 0) into 0 9.027 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.027 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.027 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 9.027 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.027 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.027 * [taylor]: Taking taylor expansion of 1/2 in K 9.027 * [backup-simplify]: Simplify 1/2 into 1/2 9.027 * [taylor]: Taking taylor expansion of K in K 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.028 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.028 * [taylor]: Taking taylor expansion of J in K 9.028 * [backup-simplify]: Simplify J into J 9.028 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 9.028 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 9.028 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.028 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.028 * [taylor]: Taking taylor expansion of 1/2 in K 9.028 * [backup-simplify]: Simplify 1/2 into 1/2 9.028 * [taylor]: Taking taylor expansion of K in K 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.029 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.029 * [taylor]: Taking taylor expansion of J in K 9.029 * [backup-simplify]: Simplify J into J 9.029 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 9.029 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.029 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.029 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.029 * [taylor]: Taking taylor expansion of 1/2 in J 9.029 * [backup-simplify]: Simplify 1/2 into 1/2 9.029 * [taylor]: Taking taylor expansion of K in J 9.029 * [backup-simplify]: Simplify K into K 9.029 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.029 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.029 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.029 * [taylor]: Taking taylor expansion of J in J 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 1 into 1 9.029 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.030 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.030 * [backup-simplify]: Simplify (- 0) into 0 9.030 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.030 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.030 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.030 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 9.030 * [taylor]: Taking taylor expansion of 0 in J 9.030 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify (+ 0) into 0 9.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.033 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.033 * [backup-simplify]: Simplify (- 0) into 0 9.033 * [backup-simplify]: Simplify (+ 0 0) into 0 9.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 9.035 * [taylor]: Taking taylor expansion of 0 in J 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.038 * [backup-simplify]: Simplify (- 0) into 0 9.038 * [backup-simplify]: Simplify (+ 0 0) into 0 9.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 9.040 * [taylor]: Taking taylor expansion of 0 in J 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.045 * [backup-simplify]: Simplify (- 0) into 0 9.046 * [backup-simplify]: Simplify (+ 0 0) into 0 9.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 9.048 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 (- K)))) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 9.048 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 9.048 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 9.048 * [taylor]: Taking taylor expansion of -1 in J 9.048 * [backup-simplify]: Simplify -1 into -1 9.048 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.048 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.048 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.048 * [taylor]: Taking taylor expansion of -1/2 in J 9.049 * [backup-simplify]: Simplify -1/2 into -1/2 9.049 * [taylor]: Taking taylor expansion of K in J 9.049 * [backup-simplify]: Simplify K into K 9.049 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.049 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.049 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.049 * [taylor]: Taking taylor expansion of J in J 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.049 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.050 * [backup-simplify]: Simplify (- 0) into 0 9.050 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.050 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.050 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 9.050 * [taylor]: Taking taylor expansion of -1 in K 9.050 * [backup-simplify]: Simplify -1 into -1 9.050 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 9.050 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.050 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.050 * [taylor]: Taking taylor expansion of -1/2 in K 9.050 * [backup-simplify]: Simplify -1/2 into -1/2 9.050 * [taylor]: Taking taylor expansion of K in K 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.051 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.051 * [taylor]: Taking taylor expansion of J in K 9.051 * [backup-simplify]: Simplify J into J 9.051 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 9.051 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 9.051 * [taylor]: Taking taylor expansion of -1 in K 9.051 * [backup-simplify]: Simplify -1 into -1 9.051 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 9.051 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.051 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.051 * [taylor]: Taking taylor expansion of -1/2 in K 9.051 * [backup-simplify]: Simplify -1/2 into -1/2 9.051 * [taylor]: Taking taylor expansion of K in K 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.052 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.052 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.052 * [taylor]: Taking taylor expansion of J in K 9.052 * [backup-simplify]: Simplify J into J 9.052 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 9.052 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 9.052 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 9.052 * [taylor]: Taking taylor expansion of -1 in J 9.052 * [backup-simplify]: Simplify -1 into -1 9.052 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.052 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.052 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.052 * [taylor]: Taking taylor expansion of -1/2 in J 9.052 * [backup-simplify]: Simplify -1/2 into -1/2 9.052 * [taylor]: Taking taylor expansion of K in J 9.052 * [backup-simplify]: Simplify K into K 9.052 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.052 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.053 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.053 * [taylor]: Taking taylor expansion of J in J 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.053 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.053 * [backup-simplify]: Simplify (- 0) into 0 9.053 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.053 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.053 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 9.053 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 9.054 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 9.054 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 9.054 * [taylor]: Taking taylor expansion of 0 in J 9.054 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify (+ 0) into 0 9.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.055 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.057 * [backup-simplify]: Simplify (- 0) into 0 9.057 * [backup-simplify]: Simplify (+ 0 0) into 0 9.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 9.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 9.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 9.060 * [taylor]: Taking taylor expansion of 0 in J 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.062 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.062 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.063 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.063 * [backup-simplify]: Simplify (- 0) into 0 9.064 * [backup-simplify]: Simplify (+ 0 0) into 0 9.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 9.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 9.067 * [taylor]: Taking taylor expansion of 0 in J 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.072 * [backup-simplify]: Simplify (- 0) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 9.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 9.076 * [backup-simplify]: Simplify (/ U (* (cos (* 1/2 K)) J)) into (/ U (* (cos (* 1/2 K)) J)) 9.076 * [approximate]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in (U K J) around 0 9.076 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 9.076 * [taylor]: Taking taylor expansion of U in J 9.076 * [backup-simplify]: Simplify U into U 9.076 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.076 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.076 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.076 * [taylor]: Taking taylor expansion of 1/2 in J 9.076 * [backup-simplify]: Simplify 1/2 into 1/2 9.076 * [taylor]: Taking taylor expansion of K in J 9.076 * [backup-simplify]: Simplify K into K 9.076 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.076 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.076 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.076 * [taylor]: Taking taylor expansion of J in J 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.076 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.077 * [backup-simplify]: Simplify (- 0) into 0 9.077 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.077 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.077 * [backup-simplify]: Simplify (+ 0) into 0 9.078 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.079 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.080 * [backup-simplify]: Simplify (- 0) into 0 9.080 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.081 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 9.081 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 9.081 * [taylor]: Taking taylor expansion of U in K 9.081 * [backup-simplify]: Simplify U into U 9.081 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.081 * [taylor]: Taking taylor expansion of 1/2 in K 9.081 * [backup-simplify]: Simplify 1/2 into 1/2 9.081 * [taylor]: Taking taylor expansion of K in K 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 1 into 1 9.081 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.082 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.082 * [taylor]: Taking taylor expansion of J in K 9.082 * [backup-simplify]: Simplify J into J 9.082 * [backup-simplify]: Simplify (* 1 J) into J 9.082 * [backup-simplify]: Simplify (/ U J) into (/ U J) 9.082 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.082 * [taylor]: Taking taylor expansion of U in U 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 1 into 1 9.083 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.083 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.083 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.083 * [taylor]: Taking taylor expansion of 1/2 in U 9.083 * [backup-simplify]: Simplify 1/2 into 1/2 9.083 * [taylor]: Taking taylor expansion of K in U 9.083 * [backup-simplify]: Simplify K into K 9.083 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.083 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.083 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.083 * [taylor]: Taking taylor expansion of J in U 9.083 * [backup-simplify]: Simplify J into J 9.083 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.083 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.083 * [backup-simplify]: Simplify (- 0) into 0 9.084 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.084 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.084 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.084 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.084 * [taylor]: Taking taylor expansion of U in U 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.084 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.084 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.084 * [taylor]: Taking taylor expansion of 1/2 in U 9.084 * [backup-simplify]: Simplify 1/2 into 1/2 9.084 * [taylor]: Taking taylor expansion of K in U 9.084 * [backup-simplify]: Simplify K into K 9.084 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.084 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.084 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.084 * [taylor]: Taking taylor expansion of J in U 9.084 * [backup-simplify]: Simplify J into J 9.084 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.084 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.085 * [backup-simplify]: Simplify (- 0) into 0 9.085 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.085 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.085 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.085 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 9.085 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.085 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.085 * [taylor]: Taking taylor expansion of 1/2 in K 9.085 * [backup-simplify]: Simplify 1/2 into 1/2 9.085 * [taylor]: Taking taylor expansion of K in K 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.086 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.086 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.086 * [taylor]: Taking taylor expansion of J in K 9.086 * [backup-simplify]: Simplify J into J 9.087 * [backup-simplify]: Simplify (* 1 J) into J 9.087 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 9.087 * [taylor]: Taking taylor expansion of (/ 1 J) in J 9.087 * [taylor]: Taking taylor expansion of J in J 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 1 into 1 9.087 * [backup-simplify]: Simplify (/ 1 1) into 1 9.087 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify (+ 0) into 0 9.088 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.090 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.090 * [backup-simplify]: Simplify (- 0) into 0 9.091 * [backup-simplify]: Simplify (+ 0 0) into 0 9.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 9.091 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 9.091 * [taylor]: Taking taylor expansion of 0 in K 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [taylor]: Taking taylor expansion of 0 in J 9.091 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify (+ 0) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 9.093 * [taylor]: Taking taylor expansion of 0 in J 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.095 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.097 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.098 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.098 * [backup-simplify]: Simplify (- 0) into 0 9.098 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 9.099 * [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 9.099 * [taylor]: Taking taylor expansion of 0 in K 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [taylor]: Taking taylor expansion of 0 in J 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [taylor]: Taking taylor expansion of 0 in J 9.100 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 9.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/8 (/ 1 J)) 9.102 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 J)) in J 9.102 * [taylor]: Taking taylor expansion of 1/8 in J 9.102 * [backup-simplify]: Simplify 1/8 into 1/8 9.102 * [taylor]: Taking taylor expansion of (/ 1 J) in J 9.102 * [taylor]: Taking taylor expansion of J in J 9.102 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify 1 into 1 9.103 * [backup-simplify]: Simplify (/ 1 1) into 1 9.103 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.103 * [backup-simplify]: Simplify 1/8 into 1/8 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.106 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 9.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.110 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.110 * [backup-simplify]: Simplify (- 0) into 0 9.111 * [backup-simplify]: Simplify (+ 0 0) into 0 9.112 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.112 * [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 9.112 * [taylor]: Taking taylor expansion of 0 in K 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [taylor]: Taking taylor expansion of 0 in J 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [taylor]: Taking taylor expansion of 0 in J 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [taylor]: Taking taylor expansion of 0 in J 9.113 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 9.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/8 (/ 1 J)) (/ 0 J)))) into 0 9.117 * [taylor]: Taking taylor expansion of 0 in J 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify (+ (* 1/8 (* (/ 1 J) (* (pow K 2) U))) (* 1 (* (/ 1 J) (* 1 U)))) into (+ (* 1/8 (/ (* (pow K 2) U) J)) (/ U J)) 9.119 * [backup-simplify]: Simplify (/ (/ 1 U) (* (cos (* 1/2 (/ 1 K))) (/ 1 J))) into (/ J (* U (cos (/ 1/2 K)))) 9.119 * [approximate]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in (U K J) around 0 9.119 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 9.119 * [taylor]: Taking taylor expansion of J in J 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 9.120 * [taylor]: Taking taylor expansion of U in J 9.120 * [backup-simplify]: Simplify U into U 9.120 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.120 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.120 * [taylor]: Taking taylor expansion of 1/2 in J 9.120 * [backup-simplify]: Simplify 1/2 into 1/2 9.120 * [taylor]: Taking taylor expansion of K in J 9.120 * [backup-simplify]: Simplify K into K 9.120 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.120 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.120 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.120 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.120 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.121 * [backup-simplify]: Simplify (- 0) into 0 9.121 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.121 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.121 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 9.121 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 9.121 * [taylor]: Taking taylor expansion of J in K 9.121 * [backup-simplify]: Simplify J into J 9.121 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 9.121 * [taylor]: Taking taylor expansion of U in K 9.121 * [backup-simplify]: Simplify U into U 9.121 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.121 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.121 * [taylor]: Taking taylor expansion of 1/2 in K 9.121 * [backup-simplify]: Simplify 1/2 into 1/2 9.121 * [taylor]: Taking taylor expansion of K in K 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.122 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.122 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.122 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 9.122 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.122 * [taylor]: Taking taylor expansion of J in U 9.122 * [backup-simplify]: Simplify J into J 9.122 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.122 * [taylor]: Taking taylor expansion of U in U 9.122 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify 1 into 1 9.122 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.122 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.122 * [taylor]: Taking taylor expansion of 1/2 in U 9.122 * [backup-simplify]: Simplify 1/2 into 1/2 9.122 * [taylor]: Taking taylor expansion of K in U 9.122 * [backup-simplify]: Simplify K into K 9.123 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.123 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.123 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.123 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.123 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.123 * [backup-simplify]: Simplify (- 0) into 0 9.123 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.124 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.124 * [backup-simplify]: Simplify (+ 0) into 0 9.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.126 * [backup-simplify]: Simplify (- 0) into 0 9.126 * [backup-simplify]: Simplify (+ 0 0) into 0 9.127 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.127 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.127 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.127 * [taylor]: Taking taylor expansion of J in U 9.127 * [backup-simplify]: Simplify J into J 9.127 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.127 * [taylor]: Taking taylor expansion of U in U 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.127 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.127 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.127 * [taylor]: Taking taylor expansion of 1/2 in U 9.127 * [backup-simplify]: Simplify 1/2 into 1/2 9.127 * [taylor]: Taking taylor expansion of K in U 9.127 * [backup-simplify]: Simplify K into K 9.127 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.127 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.127 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.127 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.127 * [backup-simplify]: Simplify (- 0) into 0 9.127 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.127 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.128 * [backup-simplify]: Simplify (+ 0) into 0 9.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.129 * [backup-simplify]: Simplify (- 0) into 0 9.130 * [backup-simplify]: Simplify (+ 0 0) into 0 9.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.130 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.130 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 9.130 * [taylor]: Taking taylor expansion of J in K 9.130 * [backup-simplify]: Simplify J into J 9.130 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.130 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.130 * [taylor]: Taking taylor expansion of 1/2 in K 9.130 * [backup-simplify]: Simplify 1/2 into 1/2 9.130 * [taylor]: Taking taylor expansion of K in K 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.130 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.131 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.131 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 9.131 * [taylor]: Taking taylor expansion of J in J 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 1 into 1 9.131 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.131 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.131 * [taylor]: Taking taylor expansion of 1/2 in J 9.131 * [backup-simplify]: Simplify 1/2 into 1/2 9.131 * [taylor]: Taking taylor expansion of K in J 9.131 * [backup-simplify]: Simplify K into K 9.131 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.131 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.131 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.131 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.131 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.131 * [backup-simplify]: Simplify (- 0) into 0 9.131 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.131 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.131 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.132 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.134 * [backup-simplify]: Simplify (- 0) into 0 9.134 * [backup-simplify]: Simplify (+ 0 0) into 0 9.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.134 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.135 * [taylor]: Taking taylor expansion of 0 in K 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [taylor]: Taking taylor expansion of 0 in J 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.135 * [taylor]: Taking taylor expansion of 0 in J 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (+ 0) into 0 9.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.136 * [backup-simplify]: Simplify (- 0) into 0 9.137 * [backup-simplify]: Simplify (+ 0 0) into 0 9.137 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.138 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.140 * [backup-simplify]: Simplify (- 0) into 0 9.140 * [backup-simplify]: Simplify (+ 0 0) into 0 9.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.141 * [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 9.141 * [taylor]: Taking taylor expansion of 0 in K 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [taylor]: Taking taylor expansion of 0 in J 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [taylor]: Taking taylor expansion of 0 in J 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [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 9.141 * [taylor]: Taking taylor expansion of 0 in J 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify (* (/ 1 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (/ U (* (cos (* 1/2 K)) J)) 9.142 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (cos (* 1/2 (/ 1 (- K)))) (/ 1 (- J)))) into (/ J (* (cos (/ -1/2 K)) U)) 9.142 * [approximate]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in (U K J) around 0 9.142 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 9.142 * [taylor]: Taking taylor expansion of J in J 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 9.142 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.142 * [taylor]: Taking taylor expansion of -1/2 in J 9.142 * [backup-simplify]: Simplify -1/2 into -1/2 9.142 * [taylor]: Taking taylor expansion of K in J 9.142 * [backup-simplify]: Simplify K into K 9.142 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.142 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.142 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.142 * [taylor]: Taking taylor expansion of U in J 9.142 * [backup-simplify]: Simplify U into U 9.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.142 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.142 * [backup-simplify]: Simplify (- 0) into 0 9.143 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 9.143 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 9.143 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 9.143 * [taylor]: Taking taylor expansion of J in K 9.143 * [backup-simplify]: Simplify J into J 9.143 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 9.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.143 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.143 * [taylor]: Taking taylor expansion of -1/2 in K 9.143 * [backup-simplify]: Simplify -1/2 into -1/2 9.143 * [taylor]: Taking taylor expansion of K in K 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.143 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.143 * [taylor]: Taking taylor expansion of U in K 9.143 * [backup-simplify]: Simplify U into U 9.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 9.143 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 9.143 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 9.143 * [taylor]: Taking taylor expansion of J in U 9.143 * [backup-simplify]: Simplify J into J 9.143 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 9.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.143 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.143 * [taylor]: Taking taylor expansion of -1/2 in U 9.143 * [backup-simplify]: Simplify -1/2 into -1/2 9.143 * [taylor]: Taking taylor expansion of K in U 9.144 * [backup-simplify]: Simplify K into K 9.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.144 * [taylor]: Taking taylor expansion of U in U 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.147 * [backup-simplify]: Simplify (- 0) into 0 9.148 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.148 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 9.148 * [backup-simplify]: Simplify (+ 0) into 0 9.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.149 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.149 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.150 * [backup-simplify]: Simplify (- 0) into 0 9.150 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 9.150 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 9.150 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 9.150 * [taylor]: Taking taylor expansion of J in U 9.150 * [backup-simplify]: Simplify J into J 9.150 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 9.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.150 * [taylor]: Taking taylor expansion of -1/2 in U 9.150 * [backup-simplify]: Simplify -1/2 into -1/2 9.150 * [taylor]: Taking taylor expansion of K in U 9.150 * [backup-simplify]: Simplify K into K 9.151 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.151 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.151 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.151 * [taylor]: Taking taylor expansion of U in U 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.151 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.151 * [backup-simplify]: Simplify (- 0) into 0 9.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 9.151 * [backup-simplify]: Simplify (+ 0) into 0 9.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.153 * [backup-simplify]: Simplify (- 0) into 0 9.153 * [backup-simplify]: Simplify (+ 0 0) into 0 9.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 9.153 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 9.154 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 9.154 * [taylor]: Taking taylor expansion of J in K 9.154 * [backup-simplify]: Simplify J into J 9.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.154 * [taylor]: Taking taylor expansion of -1/2 in K 9.154 * [backup-simplify]: Simplify -1/2 into -1/2 9.154 * [taylor]: Taking taylor expansion of K in K 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 1 into 1 9.154 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.154 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.154 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 9.154 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 9.154 * [taylor]: Taking taylor expansion of J in J 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 1 into 1 9.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.154 * [taylor]: Taking taylor expansion of -1/2 in J 9.154 * [backup-simplify]: Simplify -1/2 into -1/2 9.154 * [taylor]: Taking taylor expansion of K in J 9.154 * [backup-simplify]: Simplify K into K 9.154 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.154 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.154 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.154 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.155 * [backup-simplify]: Simplify (- 0) into 0 9.155 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.155 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.155 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.156 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.157 * [backup-simplify]: Simplify (- 0) into 0 9.157 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.158 * [taylor]: Taking taylor expansion of 0 in K 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [taylor]: Taking taylor expansion of 0 in J 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.158 * [taylor]: Taking taylor expansion of 0 in J 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify (+ 0) into 0 9.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.160 * [backup-simplify]: Simplify (- 0) into 0 9.160 * [backup-simplify]: Simplify (+ 0 0) into 0 9.160 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.160 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.164 * [backup-simplify]: Simplify (- 0) into 0 9.165 * [backup-simplify]: Simplify (+ 0 0) into 0 9.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.166 * [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 9.166 * [taylor]: Taking taylor expansion of 0 in K 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [taylor]: Taking taylor expansion of 0 in J 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [taylor]: Taking taylor expansion of 0 in J 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [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 9.166 * [taylor]: Taking taylor expansion of 0 in J 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify (* (/ 1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (/ U (* (cos (* 1/2 K)) J)) 9.167 * * * [progress]: simplifying candidates 9.167 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 9.167 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 23 / 102 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))))))> 9.168 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 9.168 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 27 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 9.169 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 44 / 102 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 9.170 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 9.170 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 65 / 102 ] simplifiying candidate #real (real->posit16 (* (cos (* 1/2 K)) J)))))) (* (cos (/ K 2)) (* -2 J))))> 9.171 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 71 / 102 ] simplifiying candidate # 9.171 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 9.172 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 90 / 102 ] simplifiying candidate #real (real->posit16 (/ U (* (cos (* 1/2 K)) J)))))) (* (cos (/ K 2)) (* -2 J))))> 9.173 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 9.173 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 9.174 * [simplify]: Simplifying: (expm1 (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))) (+ (log (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (exp (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (cos (/ K 2))) (* (cbrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J))) (real->posit16 (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))) (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)) (real->posit16 (* (cos (/ K 2)) (* -2 J))) (expm1 (* (cos (* 1/2 K)) J)) (log1p (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J) (+ (log (cos (* 1/2 K))) (log J)) (log (* (cos (* 1/2 K)) J)) (exp (* (cos (* 1/2 K)) J)) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)) (* (cbrt (* (cos (* 1/2 K)) J)) (cbrt (* (cos (* 1/2 K)) J))) (cbrt (* (cos (* 1/2 K)) J)) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)) (sqrt (* (cos (* 1/2 K)) J)) (sqrt (* (cos (* 1/2 K)) J)) (* (sqrt (cos (* 1/2 K))) (sqrt J)) (* (sqrt (cos (* 1/2 K))) (sqrt J)) (* (cos (* 1/2 K)) (* (cbrt J) (cbrt J))) (* (cos (* 1/2 K)) (sqrt J)) (* (cos (* 1/2 K)) 1) (* (cbrt (cos (* 1/2 K))) J) (* (sqrt (cos (* 1/2 K))) J) (* (cos (* 1/2 K)) J) (real->posit16 (* (cos (* 1/2 K)) J)) (expm1 (/ U (* (cos (* 1/2 K)) J))) (log1p (/ U (* (cos (* 1/2 K)) J))) (- (log U) (+ (log (cos (* 1/2 K))) (log J))) (- (log U) (log (* (cos (* 1/2 K)) J))) (log (/ U (* (cos (* 1/2 K)) J))) (exp (/ U (* (cos (* 1/2 K)) J))) (/ (* (* U U) U) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J))) (/ (* (* U U) U) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J))) (* (cbrt (/ U (* (cos (* 1/2 K)) J))) (cbrt (/ U (* (cos (* 1/2 K)) J)))) (cbrt (/ U (* (cos (* 1/2 K)) J))) (* (* (/ U (* (cos (* 1/2 K)) J)) (/ U (* (cos (* 1/2 K)) J))) (/ U (* (cos (* 1/2 K)) J))) (sqrt (/ U (* (cos (* 1/2 K)) J))) (sqrt (/ U (* (cos (* 1/2 K)) J))) (- U) (- (* (cos (* 1/2 K)) J)) (/ (* (cbrt U) (cbrt U)) (cos (* 1/2 K))) (/ (cbrt U) J) (/ (sqrt U) (cos (* 1/2 K))) (/ (sqrt U) J) (/ 1 (cos (* 1/2 K))) (/ U J) (/ 1 (* (cos (* 1/2 K)) J)) (/ (* (cos (* 1/2 K)) J) U) (/ U (cos (* 1/2 K))) (/ (* (cos (* 1/2 K)) J) (cbrt U)) (/ (* (cos (* 1/2 K)) J) (sqrt U)) (/ (* (cos (* 1/2 K)) J) U) (real->posit16 (/ U (* (cos (* 1/2 K)) J))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- (* 1/4 (* (pow K 2) J)) (* 2 J)) (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) (- J (* 1/8 (* (pow K 2) J))) (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J) (+ (* 1/8 (/ (* (pow K 2) U) J)) (/ U J)) (/ U (* (cos (* 1/2 K)) J)) (/ U (* (cos (* 1/2 K)) J)) 9.176 * * [simplify]: iteration 1: (155 enodes) 9.207 * * [simplify]: iteration 2: (356 enodes) 9.384 * * [simplify]: iteration 3: (1199 enodes) 11.119 * * [simplify]: Extracting #0: cost 70 inf + 0 11.121 * * [simplify]: Extracting #1: cost 718 inf + 0 11.127 * * [simplify]: Extracting #2: cost 1617 inf + 4329 11.140 * * [simplify]: Extracting #3: cost 1467 inf + 24335 11.155 * * [simplify]: Extracting #4: cost 1192 inf + 72762 11.224 * * [simplify]: Extracting #5: cost 476 inf + 268957 11.332 * * [simplify]: Extracting #6: cost 71 inf + 456802 11.455 * * [simplify]: Extracting #7: cost 0 inf + 496661 11.646 * * [simplify]: Extracting #8: cost 0 inf + 495860 11.793 * [simplify]: Simplified to: (expm1 (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (log1p (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (log (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (log (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (log (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (log (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (exp (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (* J (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))))) (* J (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))))) (* J (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))))) (* (cbrt (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (* J (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))))) (sqrt (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (sqrt (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (* (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))) (cos (/ K 2))) (* (* -2 J) (* (cbrt (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J))))) (real->posit16 (* J (* (* -2 (cos (/ K 2))) (hypot 1 (* (/ 1/2 (cos (* K 1/2))) (/ U J)))))) (expm1 (* (* -2 J) (cos (/ K 2)))) (log1p (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))) (log (* (* -2 J) (cos (/ K 2)))) (log (* (* -2 J) (cos (/ K 2)))) (log (* (* -2 J) (cos (/ K 2)))) (exp (* (* -2 J) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)))) (* (* (* -2 J) (cos (/ K 2))) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2)))) (* -2 (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* -2 J)) (* (* -2 J) (sqrt (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))) (real->posit16 (* (* -2 J) (cos (/ K 2)))) (expm1 (* (cos (* K 1/2)) J)) (log1p (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J) (log (* (cos (* K 1/2)) J)) (log (* (cos (* K 1/2)) J)) (exp (* (cos (* K 1/2)) J)) (* (* (cos (* K 1/2)) J) (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J))) (* (cbrt (* (cos (* K 1/2)) J)) (cbrt (* (cos (* K 1/2)) J))) (cbrt (* (cos (* K 1/2)) J)) (* (* (cos (* K 1/2)) J) (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J))) (sqrt (* (cos (* K 1/2)) J)) (sqrt (* (cos (* K 1/2)) J)) (* (sqrt (cos (* K 1/2))) (sqrt J)) (* (sqrt (cos (* K 1/2))) (sqrt J)) (* (* (cbrt J) (cbrt J)) (cos (* K 1/2))) (* (sqrt J) (cos (* K 1/2))) (cos (* K 1/2)) (* (cbrt (cos (* K 1/2))) J) (* (sqrt (cos (* K 1/2))) J) (* (cos (* K 1/2)) J) (real->posit16 (* (cos (* K 1/2)) J)) (expm1 (/ U (* (cos (* K 1/2)) J))) (log1p (/ U (* (cos (* K 1/2)) J))) (log (/ U (* (cos (* K 1/2)) J))) (log (/ U (* (cos (* K 1/2)) J))) (log (/ U (* (cos (* K 1/2)) J))) (exp (/ U (* (cos (* K 1/2)) J))) (* (* (/ U (* (cos (* K 1/2)) J)) (/ U (* (cos (* K 1/2)) J))) (/ U (* (cos (* K 1/2)) J))) (* (* (/ U (* (cos (* K 1/2)) J)) (/ U (* (cos (* K 1/2)) J))) (/ U (* (cos (* K 1/2)) J))) (* (cbrt (/ U (* (cos (* K 1/2)) J))) (cbrt (/ U (* (cos (* K 1/2)) J)))) (cbrt (/ U (* (cos (* K 1/2)) J))) (* (* (/ U (* (cos (* K 1/2)) J)) (/ U (* (cos (* K 1/2)) J))) (/ U (* (cos (* K 1/2)) J))) (sqrt (/ U (* (cos (* K 1/2)) J))) (sqrt (/ U (* (cos (* K 1/2)) J))) (- U) (* (- J) (cos (* K 1/2))) (* (cbrt U) (/ (cbrt U) (cos (* K 1/2)))) (/ (cbrt U) J) (/ (sqrt U) (cos (* K 1/2))) (/ (sqrt U) J) (/ 1 (cos (* K 1/2))) (/ U J) (/ (/ 1 J) (cos (* K 1/2))) (* J (/ (cos (* K 1/2)) U)) (/ U (cos (* K 1/2))) (/ (* (cos (* K 1/2)) J) (cbrt U)) (/ (cos (* K 1/2)) (/ (sqrt U) J)) (* J (/ (cos (* K 1/2)) U)) (real->posit16 (/ U (* (cos (* K 1/2)) J))) (fma -1/4 (/ U (/ J U)) (* -2 J)) (- U) (- U) (* (fma 1/4 (* K K) -2) J) (* (* -2 (cos (* K 1/2))) J) (* (* -2 (cos (* K 1/2))) J) (fma -1/8 (* K (* K J)) J) (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J) (fma 1/8 (* U (/ K (/ J K))) (/ U J)) (/ U (* (cos (* K 1/2)) J)) (/ U (* (cos (* K 1/2)) J)) 11.800 * * * [progress]: adding candidates to table 13.418 * * [progress]: iteration 3 / 4 13.418 * * * [progress]: picking best candidate 13.450 * * * * [pick]: Picked # 13.450 * * * [progress]: localizing error 13.496 * * * [progress]: generating rewritten candidates 13.496 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 13.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 13.585 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 13.616 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 13.633 * * * [progress]: generating series expansions 13.633 * * * * [progress]: [ 1 / 4 ] generating series at (2) 13.634 * [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))) 13.634 * [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 13.634 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 13.634 * [taylor]: Taking taylor expansion of -2 in K 13.634 * [backup-simplify]: Simplify -2 into -2 13.634 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 13.634 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.634 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.634 * [taylor]: Taking taylor expansion of 1/2 in K 13.634 * [backup-simplify]: Simplify 1/2 into 1/2 13.634 * [taylor]: Taking taylor expansion of K in K 13.634 * [backup-simplify]: Simplify 0 into 0 13.634 * [backup-simplify]: Simplify 1 into 1 13.635 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.636 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.636 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 13.636 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 13.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 13.636 * [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 13.636 * [taylor]: Taking taylor expansion of (* 1 1) in K 13.636 * [taylor]: Taking taylor expansion of 1 in K 13.636 * [backup-simplify]: Simplify 1 into 1 13.636 * [taylor]: Taking taylor expansion of 1 in K 13.636 * [backup-simplify]: Simplify 1 into 1 13.636 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 13.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 13.636 * [taylor]: Taking taylor expansion of 1/2 in K 13.636 * [backup-simplify]: Simplify 1/2 into 1/2 13.636 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 13.636 * [taylor]: Taking taylor expansion of U in K 13.636 * [backup-simplify]: Simplify U into U 13.636 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 13.636 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.636 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.636 * [taylor]: Taking taylor expansion of 1/2 in K 13.636 * [backup-simplify]: Simplify 1/2 into 1/2 13.636 * [taylor]: Taking taylor expansion of K in K 13.636 * [backup-simplify]: Simplify 0 into 0 13.636 * [backup-simplify]: Simplify 1 into 1 13.637 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.638 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.638 * [taylor]: Taking taylor expansion of J in K 13.638 * [backup-simplify]: Simplify J into J 13.638 * [backup-simplify]: Simplify (* 1 J) into J 13.638 * [backup-simplify]: Simplify (/ U J) into (/ U J) 13.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 13.638 * [taylor]: Taking taylor expansion of 1/2 in K 13.638 * [backup-simplify]: Simplify 1/2 into 1/2 13.638 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 13.638 * [taylor]: Taking taylor expansion of U in K 13.638 * [backup-simplify]: Simplify U into U 13.638 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 13.638 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.638 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.638 * [taylor]: Taking taylor expansion of 1/2 in K 13.638 * [backup-simplify]: Simplify 1/2 into 1/2 13.638 * [taylor]: Taking taylor expansion of K in K 13.638 * [backup-simplify]: Simplify 0 into 0 13.638 * [backup-simplify]: Simplify 1 into 1 13.639 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.639 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.639 * [taylor]: Taking taylor expansion of J in K 13.639 * [backup-simplify]: Simplify J into J 13.639 * [backup-simplify]: Simplify (* 1 J) into J 13.640 * [backup-simplify]: Simplify (/ U J) into (/ U J) 13.640 * [backup-simplify]: Simplify (* 1 1) into 1 13.640 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 13.640 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 13.640 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 13.640 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 13.641 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 13.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.642 * [backup-simplify]: Simplify (+ 0) into 0 13.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 13.642 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 13.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 13.643 * [backup-simplify]: Simplify (+ 0) into 0 13.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 13.644 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 13.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 13.645 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 13.645 * [backup-simplify]: Simplify (+ 0 0) into 0 13.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 13.645 * [taylor]: Taking taylor expansion of J in K 13.645 * [backup-simplify]: Simplify J into J 13.645 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 13.645 * [taylor]: Taking taylor expansion of -2 in J 13.645 * [backup-simplify]: Simplify -2 into -2 13.646 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 13.646 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.646 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.646 * [taylor]: Taking taylor expansion of 1/2 in J 13.646 * [backup-simplify]: Simplify 1/2 into 1/2 13.646 * [taylor]: Taking taylor expansion of K in J 13.646 * [backup-simplify]: Simplify K into K 13.646 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.646 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.646 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.646 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 13.646 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 13.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 13.646 * [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 13.646 * [taylor]: Taking taylor expansion of (* 1 1) in J 13.646 * [taylor]: Taking taylor expansion of 1 in J 13.646 * [backup-simplify]: Simplify 1 into 1 13.646 * [taylor]: Taking taylor expansion of 1 in J 13.646 * [backup-simplify]: Simplify 1 into 1 13.646 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 13.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 13.646 * [taylor]: Taking taylor expansion of 1/2 in J 13.646 * [backup-simplify]: Simplify 1/2 into 1/2 13.646 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 13.646 * [taylor]: Taking taylor expansion of U in J 13.646 * [backup-simplify]: Simplify U into U 13.646 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 13.646 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.646 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.646 * [taylor]: Taking taylor expansion of 1/2 in J 13.646 * [backup-simplify]: Simplify 1/2 into 1/2 13.646 * [taylor]: Taking taylor expansion of K in J 13.647 * [backup-simplify]: Simplify K into K 13.647 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.647 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.647 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.647 * [taylor]: Taking taylor expansion of J in J 13.647 * [backup-simplify]: Simplify 0 into 0 13.647 * [backup-simplify]: Simplify 1 into 1 13.647 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.647 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.647 * [backup-simplify]: Simplify (- 0) into 0 13.648 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.648 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 13.648 * [backup-simplify]: Simplify (+ 0) into 0 13.649 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.651 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.651 * [backup-simplify]: Simplify (- 0) into 0 13.652 * [backup-simplify]: Simplify (+ 0 0) into 0 13.652 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 13.652 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 13.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 13.652 * [taylor]: Taking taylor expansion of 1/2 in J 13.652 * [backup-simplify]: Simplify 1/2 into 1/2 13.652 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 13.652 * [taylor]: Taking taylor expansion of U in J 13.652 * [backup-simplify]: Simplify U into U 13.652 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 13.652 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.652 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.652 * [taylor]: Taking taylor expansion of 1/2 in J 13.652 * [backup-simplify]: Simplify 1/2 into 1/2 13.652 * [taylor]: Taking taylor expansion of K in J 13.653 * [backup-simplify]: Simplify K into K 13.653 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.653 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.653 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.653 * [taylor]: Taking taylor expansion of J in J 13.653 * [backup-simplify]: Simplify 0 into 0 13.653 * [backup-simplify]: Simplify 1 into 1 13.653 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.653 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.653 * [backup-simplify]: Simplify (- 0) into 0 13.653 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.653 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 13.654 * [backup-simplify]: Simplify (+ 0) into 0 13.654 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.656 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.656 * [backup-simplify]: Simplify (- 0) into 0 13.657 * [backup-simplify]: Simplify (+ 0 0) into 0 13.657 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 13.657 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 13.657 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.658 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.658 * [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))) 13.658 * [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))) 13.658 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.660 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.662 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.663 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.663 * [backup-simplify]: Simplify (- 0) into 0 13.663 * [backup-simplify]: Simplify (+ 0 0) into 0 13.664 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.664 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 13.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 13.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.666 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.668 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.669 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.669 * [backup-simplify]: Simplify (- 0) into 0 13.669 * [backup-simplify]: Simplify (+ 0 0) into 0 13.670 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.670 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 13.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 13.671 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 13.671 * [backup-simplify]: Simplify (+ 0 0) into 0 13.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 13.672 * [taylor]: Taking taylor expansion of J in J 13.672 * [backup-simplify]: Simplify 0 into 0 13.672 * [backup-simplify]: Simplify 1 into 1 13.672 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 13.672 * [taylor]: Taking taylor expansion of -2 in U 13.672 * [backup-simplify]: Simplify -2 into -2 13.672 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 13.672 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.672 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.672 * [taylor]: Taking taylor expansion of 1/2 in U 13.672 * [backup-simplify]: Simplify 1/2 into 1/2 13.672 * [taylor]: Taking taylor expansion of K in U 13.672 * [backup-simplify]: Simplify K into K 13.672 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.672 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.672 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.672 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 13.672 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 13.672 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 13.673 * [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 13.673 * [taylor]: Taking taylor expansion of (* 1 1) in U 13.673 * [taylor]: Taking taylor expansion of 1 in U 13.673 * [backup-simplify]: Simplify 1 into 1 13.673 * [taylor]: Taking taylor expansion of 1 in U 13.673 * [backup-simplify]: Simplify 1 into 1 13.673 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 13.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 13.673 * [taylor]: Taking taylor expansion of 1/2 in U 13.673 * [backup-simplify]: Simplify 1/2 into 1/2 13.673 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 13.673 * [taylor]: Taking taylor expansion of U in U 13.673 * [backup-simplify]: Simplify 0 into 0 13.673 * [backup-simplify]: Simplify 1 into 1 13.673 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 13.673 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.673 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.673 * [taylor]: Taking taylor expansion of 1/2 in U 13.673 * [backup-simplify]: Simplify 1/2 into 1/2 13.673 * [taylor]: Taking taylor expansion of K in U 13.673 * [backup-simplify]: Simplify K into K 13.673 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.673 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.674 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.674 * [taylor]: Taking taylor expansion of J in U 13.674 * [backup-simplify]: Simplify J into J 13.674 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.674 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.674 * [backup-simplify]: Simplify (- 0) into 0 13.674 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 13.675 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 13.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 13.675 * [taylor]: Taking taylor expansion of 1/2 in U 13.675 * [backup-simplify]: Simplify 1/2 into 1/2 13.675 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 13.675 * [taylor]: Taking taylor expansion of U in U 13.675 * [backup-simplify]: Simplify 0 into 0 13.675 * [backup-simplify]: Simplify 1 into 1 13.675 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 13.675 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.675 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.675 * [taylor]: Taking taylor expansion of 1/2 in U 13.675 * [backup-simplify]: Simplify 1/2 into 1/2 13.675 * [taylor]: Taking taylor expansion of K in U 13.675 * [backup-simplify]: Simplify K into K 13.675 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.675 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.675 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.675 * [taylor]: Taking taylor expansion of J in U 13.675 * [backup-simplify]: Simplify J into J 13.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.675 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.676 * [backup-simplify]: Simplify (- 0) into 0 13.676 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.676 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 13.676 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 13.677 * [backup-simplify]: Simplify (* 1 1) into 1 13.677 * [backup-simplify]: Simplify (+ 1 0) into 1 13.677 * [backup-simplify]: Simplify (sqrt 1) into 1 13.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.678 * [backup-simplify]: Simplify (+ 0 0) into 0 13.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.679 * [taylor]: Taking taylor expansion of J in U 13.679 * [backup-simplify]: Simplify J into J 13.679 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 13.679 * [taylor]: Taking taylor expansion of -2 in U 13.679 * [backup-simplify]: Simplify -2 into -2 13.679 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 13.679 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.679 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.679 * [taylor]: Taking taylor expansion of 1/2 in U 13.679 * [backup-simplify]: Simplify 1/2 into 1/2 13.679 * [taylor]: Taking taylor expansion of K in U 13.679 * [backup-simplify]: Simplify K into K 13.680 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.680 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.680 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.680 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 13.680 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 13.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 13.680 * [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 13.680 * [taylor]: Taking taylor expansion of (* 1 1) in U 13.680 * [taylor]: Taking taylor expansion of 1 in U 13.680 * [backup-simplify]: Simplify 1 into 1 13.680 * [taylor]: Taking taylor expansion of 1 in U 13.680 * [backup-simplify]: Simplify 1 into 1 13.680 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 13.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 13.680 * [taylor]: Taking taylor expansion of 1/2 in U 13.680 * [backup-simplify]: Simplify 1/2 into 1/2 13.680 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 13.680 * [taylor]: Taking taylor expansion of U in U 13.680 * [backup-simplify]: Simplify 0 into 0 13.680 * [backup-simplify]: Simplify 1 into 1 13.680 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 13.680 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.680 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.680 * [taylor]: Taking taylor expansion of 1/2 in U 13.680 * [backup-simplify]: Simplify 1/2 into 1/2 13.680 * [taylor]: Taking taylor expansion of K in U 13.680 * [backup-simplify]: Simplify K into K 13.680 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.680 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.681 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.681 * [taylor]: Taking taylor expansion of J in U 13.681 * [backup-simplify]: Simplify J into J 13.681 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.681 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.681 * [backup-simplify]: Simplify (- 0) into 0 13.681 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.681 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 13.681 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 13.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 13.682 * [taylor]: Taking taylor expansion of 1/2 in U 13.682 * [backup-simplify]: Simplify 1/2 into 1/2 13.682 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 13.682 * [taylor]: Taking taylor expansion of U in U 13.682 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify 1 into 1 13.682 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 13.682 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.682 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.682 * [taylor]: Taking taylor expansion of 1/2 in U 13.682 * [backup-simplify]: Simplify 1/2 into 1/2 13.682 * [taylor]: Taking taylor expansion of K in U 13.682 * [backup-simplify]: Simplify K into K 13.682 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.682 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.682 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.682 * [taylor]: Taking taylor expansion of J in U 13.682 * [backup-simplify]: Simplify J into J 13.682 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.682 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.683 * [backup-simplify]: Simplify (- 0) into 0 13.683 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.683 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 13.683 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 13.683 * [backup-simplify]: Simplify (* 1 1) into 1 13.684 * [backup-simplify]: Simplify (+ 1 0) into 1 13.684 * [backup-simplify]: Simplify (sqrt 1) into 1 13.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.685 * [backup-simplify]: Simplify (+ 0 0) into 0 13.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.686 * [taylor]: Taking taylor expansion of J in U 13.686 * [backup-simplify]: Simplify J into J 13.686 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.686 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.687 * [backup-simplify]: Simplify (- 0) into 0 13.687 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.687 * [backup-simplify]: Simplify (* 1 J) into J 13.687 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 13.687 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 13.687 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 13.687 * [taylor]: Taking taylor expansion of -2 in J 13.687 * [backup-simplify]: Simplify -2 into -2 13.687 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 13.687 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.687 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.687 * [taylor]: Taking taylor expansion of 1/2 in J 13.687 * [backup-simplify]: Simplify 1/2 into 1/2 13.687 * [taylor]: Taking taylor expansion of K in J 13.687 * [backup-simplify]: Simplify K into K 13.687 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.687 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.687 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.687 * [taylor]: Taking taylor expansion of J in J 13.688 * [backup-simplify]: Simplify 0 into 0 13.688 * [backup-simplify]: Simplify 1 into 1 13.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 13.688 * [backup-simplify]: Simplify (+ 0) into 0 13.689 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.691 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.691 * [backup-simplify]: Simplify (- 0) into 0 13.691 * [backup-simplify]: Simplify (+ 0 0) into 0 13.692 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 13.692 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 13.692 * [taylor]: Taking taylor expansion of 0 in J 13.692 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.692 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.693 * [backup-simplify]: Simplify (- 0) into 0 13.693 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.693 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 13.693 * [backup-simplify]: Simplify (* -2 0) into 0 13.693 * [taylor]: Taking taylor expansion of 0 in K 13.693 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.695 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 13.695 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 13.695 * [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))) 13.695 * [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)))) 13.701 * [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))) 13.702 * [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))) 13.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.704 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.706 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.706 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.707 * [backup-simplify]: Simplify (- 0) into 0 13.707 * [backup-simplify]: Simplify (+ 0 0) into 0 13.708 * [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))) 13.708 * [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)))) 13.708 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 13.708 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 13.709 * [taylor]: Taking taylor expansion of 1/4 in J 13.709 * [backup-simplify]: Simplify 1/4 into 1/4 13.709 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 13.709 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 13.709 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.709 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.709 * [taylor]: Taking taylor expansion of 1/2 in J 13.709 * [backup-simplify]: Simplify 1/2 into 1/2 13.709 * [taylor]: Taking taylor expansion of K in J 13.709 * [backup-simplify]: Simplify K into K 13.709 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.709 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.709 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.709 * [taylor]: Taking taylor expansion of J in J 13.709 * [backup-simplify]: Simplify 0 into 0 13.709 * [backup-simplify]: Simplify 1 into 1 13.709 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.709 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.710 * [backup-simplify]: Simplify (- 0) into 0 13.710 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.710 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 13.710 * [backup-simplify]: Simplify (+ 0) into 0 13.711 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.712 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.713 * [backup-simplify]: Simplify (- 0) into 0 13.713 * [backup-simplify]: Simplify (+ 0 0) into 0 13.714 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 13.714 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 13.714 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 13.714 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 13.714 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 13.714 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 13.714 * [taylor]: Taking taylor expansion of 1/4 in K 13.714 * [backup-simplify]: Simplify 1/4 into 1/4 13.714 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 13.714 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.714 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.714 * [taylor]: Taking taylor expansion of 1/2 in K 13.714 * [backup-simplify]: Simplify 1/2 into 1/2 13.714 * [taylor]: Taking taylor expansion of K in K 13.715 * [backup-simplify]: Simplify 0 into 0 13.715 * [backup-simplify]: Simplify 1 into 1 13.715 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.716 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.716 * [backup-simplify]: Simplify (/ 1 1) into 1 13.717 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.717 * [backup-simplify]: Simplify (- 1/4) into -1/4 13.717 * [backup-simplify]: Simplify -1/4 into -1/4 13.717 * [taylor]: Taking taylor expansion of 0 in K 13.717 * [backup-simplify]: Simplify 0 into 0 13.717 * [backup-simplify]: Simplify 0 into 0 13.717 * [backup-simplify]: Simplify (+ 0) into 0 13.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.720 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.720 * [backup-simplify]: Simplify (- 0) into 0 13.720 * [backup-simplify]: Simplify (+ 0 0) into 0 13.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 13.721 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 13.721 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 13.721 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 13.721 * [taylor]: Taking taylor expansion of 2 in K 13.722 * [backup-simplify]: Simplify 2 into 2 13.722 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.722 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.722 * [taylor]: Taking taylor expansion of 1/2 in K 13.722 * [backup-simplify]: Simplify 1/2 into 1/2 13.722 * [taylor]: Taking taylor expansion of K in K 13.722 * [backup-simplify]: Simplify 0 into 0 13.722 * [backup-simplify]: Simplify 1 into 1 13.722 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.723 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.723 * [backup-simplify]: Simplify (* 2 1) into 2 13.724 * [backup-simplify]: Simplify (- 2) into -2 13.724 * [backup-simplify]: Simplify -2 into -2 13.724 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.725 * [backup-simplify]: Simplify (+ 0) into 0 13.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.728 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.728 * [backup-simplify]: Simplify (- 0) into 0 13.728 * [backup-simplify]: Simplify (+ 0 0) into 0 13.729 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 13.729 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 13.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 13.730 * [backup-simplify]: Simplify (+ 0) into 0 13.731 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.732 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.733 * [backup-simplify]: Simplify (- 0) into 0 13.733 * [backup-simplify]: Simplify (+ 0 0) into 0 13.733 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 13.734 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 13.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 13.734 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 13.735 * [backup-simplify]: Simplify (+ 0 0) into 0 13.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 13.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 13.738 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.738 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 13.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.742 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.742 * [backup-simplify]: Simplify (- 0) into 0 13.743 * [backup-simplify]: Simplify (+ 0 0) into 0 13.743 * [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 13.745 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 13.745 * [taylor]: Taking taylor expansion of 0 in J 13.745 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.748 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.749 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.749 * [backup-simplify]: Simplify (- 0) into 0 13.749 * [backup-simplify]: Simplify (+ 0 0) into 0 13.750 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 13.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 13.751 * [backup-simplify]: Simplify (- 0) into 0 13.751 * [taylor]: Taking taylor expansion of 0 in K 13.751 * [backup-simplify]: Simplify 0 into 0 13.751 * [backup-simplify]: Simplify 0 into 0 13.752 * [taylor]: Taking taylor expansion of 0 in K 13.752 * [backup-simplify]: Simplify 0 into 0 13.752 * [backup-simplify]: Simplify 0 into 0 13.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.753 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.755 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.755 * [backup-simplify]: Simplify (- 0) into 0 13.755 * [backup-simplify]: Simplify (+ 0 0) into 0 13.756 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 13.756 * [taylor]: Taking taylor expansion of 0 in K 13.756 * [backup-simplify]: Simplify 0 into 0 13.756 * [backup-simplify]: Simplify 0 into 0 13.757 * [backup-simplify]: Simplify (+ 0) into 0 13.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.758 * [backup-simplify]: Simplify (- 0) into 0 13.758 * [backup-simplify]: Simplify 0 into 0 13.758 * [backup-simplify]: Simplify 0 into 0 13.758 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 13.758 * [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)) 13.758 * [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 13.758 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 13.758 * [taylor]: Taking taylor expansion of -2 in K 13.758 * [backup-simplify]: Simplify -2 into -2 13.758 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 13.758 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 13.758 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 13.758 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 13.758 * [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 13.758 * [taylor]: Taking taylor expansion of (* 1 1) in K 13.758 * [taylor]: Taking taylor expansion of 1 in K 13.758 * [backup-simplify]: Simplify 1 into 1 13.758 * [taylor]: Taking taylor expansion of 1 in K 13.758 * [backup-simplify]: Simplify 1 into 1 13.758 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 13.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 13.758 * [taylor]: Taking taylor expansion of 1/2 in K 13.758 * [backup-simplify]: Simplify 1/2 into 1/2 13.759 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 13.759 * [taylor]: Taking taylor expansion of J in K 13.759 * [backup-simplify]: Simplify J into J 13.759 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 13.759 * [taylor]: Taking taylor expansion of U in K 13.759 * [backup-simplify]: Simplify U into U 13.759 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.759 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.759 * [taylor]: Taking taylor expansion of 1/2 in K 13.759 * [backup-simplify]: Simplify 1/2 into 1/2 13.759 * [taylor]: Taking taylor expansion of K in K 13.759 * [backup-simplify]: Simplify 0 into 0 13.759 * [backup-simplify]: Simplify 1 into 1 13.759 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.759 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.759 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 13.759 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 13.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 13.759 * [taylor]: Taking taylor expansion of 1/2 in K 13.759 * [backup-simplify]: Simplify 1/2 into 1/2 13.759 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 13.759 * [taylor]: Taking taylor expansion of J in K 13.759 * [backup-simplify]: Simplify J into J 13.759 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 13.759 * [taylor]: Taking taylor expansion of U in K 13.759 * [backup-simplify]: Simplify U into U 13.759 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.759 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.759 * [taylor]: Taking taylor expansion of 1/2 in K 13.759 * [backup-simplify]: Simplify 1/2 into 1/2 13.759 * [taylor]: Taking taylor expansion of K in K 13.759 * [backup-simplify]: Simplify 0 into 0 13.759 * [backup-simplify]: Simplify 1 into 1 13.760 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.760 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.760 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 13.760 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 13.760 * [backup-simplify]: Simplify (* 1 1) into 1 13.760 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 13.760 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 13.761 * [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)))) 13.761 * [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) 13.761 * [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)) 13.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.762 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 13.762 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 13.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 13.762 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 13.762 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 13.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 13.763 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 13.764 * [backup-simplify]: Simplify (+ 0 0) into 0 13.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 13.764 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.764 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.764 * [taylor]: Taking taylor expansion of 1/2 in K 13.764 * [backup-simplify]: Simplify 1/2 into 1/2 13.764 * [taylor]: Taking taylor expansion of K in K 13.764 * [backup-simplify]: Simplify 0 into 0 13.764 * [backup-simplify]: Simplify 1 into 1 13.764 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.764 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.764 * [taylor]: Taking taylor expansion of J in K 13.764 * [backup-simplify]: Simplify J into J 13.765 * [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))) 13.765 * [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)) 13.765 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 13.765 * [taylor]: Taking taylor expansion of -2 in J 13.765 * [backup-simplify]: Simplify -2 into -2 13.765 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 13.765 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 13.765 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 13.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 13.765 * [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 13.765 * [taylor]: Taking taylor expansion of (* 1 1) in J 13.765 * [taylor]: Taking taylor expansion of 1 in J 13.765 * [backup-simplify]: Simplify 1 into 1 13.765 * [taylor]: Taking taylor expansion of 1 in J 13.765 * [backup-simplify]: Simplify 1 into 1 13.765 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 13.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 13.765 * [taylor]: Taking taylor expansion of 1/2 in J 13.765 * [backup-simplify]: Simplify 1/2 into 1/2 13.765 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 13.765 * [taylor]: Taking taylor expansion of J in J 13.765 * [backup-simplify]: Simplify 0 into 0 13.765 * [backup-simplify]: Simplify 1 into 1 13.765 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 13.765 * [taylor]: Taking taylor expansion of U in J 13.765 * [backup-simplify]: Simplify U into U 13.765 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.765 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.765 * [taylor]: Taking taylor expansion of 1/2 in J 13.765 * [backup-simplify]: Simplify 1/2 into 1/2 13.765 * [taylor]: Taking taylor expansion of K in J 13.765 * [backup-simplify]: Simplify K into K 13.765 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.765 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.766 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.766 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.766 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.766 * [backup-simplify]: Simplify (- 0) into 0 13.766 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.766 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 13.766 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 13.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 13.766 * [taylor]: Taking taylor expansion of 1/2 in J 13.766 * [backup-simplify]: Simplify 1/2 into 1/2 13.766 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 13.766 * [taylor]: Taking taylor expansion of J in J 13.766 * [backup-simplify]: Simplify 0 into 0 13.766 * [backup-simplify]: Simplify 1 into 1 13.766 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 13.766 * [taylor]: Taking taylor expansion of U in J 13.766 * [backup-simplify]: Simplify U into U 13.766 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.766 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.766 * [taylor]: Taking taylor expansion of 1/2 in J 13.766 * [backup-simplify]: Simplify 1/2 into 1/2 13.766 * [taylor]: Taking taylor expansion of K in J 13.766 * [backup-simplify]: Simplify K into K 13.766 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.766 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.767 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.767 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.767 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.767 * [backup-simplify]: Simplify (- 0) into 0 13.767 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.767 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 13.767 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 13.767 * [backup-simplify]: Simplify (* 1 1) into 1 13.768 * [backup-simplify]: Simplify (+ 1 0) into 1 13.768 * [backup-simplify]: Simplify (sqrt 1) into 1 13.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.768 * [backup-simplify]: Simplify (+ 0 0) into 0 13.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.769 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.769 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.769 * [taylor]: Taking taylor expansion of 1/2 in J 13.769 * [backup-simplify]: Simplify 1/2 into 1/2 13.769 * [taylor]: Taking taylor expansion of K in J 13.769 * [backup-simplify]: Simplify K into K 13.769 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.769 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.769 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.769 * [taylor]: Taking taylor expansion of J in J 13.769 * [backup-simplify]: Simplify 0 into 0 13.769 * [backup-simplify]: Simplify 1 into 1 13.769 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.769 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.770 * [backup-simplify]: Simplify (- 0) into 0 13.770 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.770 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 13.770 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.770 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 13.770 * [taylor]: Taking taylor expansion of -2 in U 13.770 * [backup-simplify]: Simplify -2 into -2 13.770 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 13.770 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 13.770 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 13.770 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 13.770 * [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 13.770 * [taylor]: Taking taylor expansion of (* 1 1) in U 13.770 * [taylor]: Taking taylor expansion of 1 in U 13.770 * [backup-simplify]: Simplify 1 into 1 13.770 * [taylor]: Taking taylor expansion of 1 in U 13.770 * [backup-simplify]: Simplify 1 into 1 13.770 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 13.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 13.770 * [taylor]: Taking taylor expansion of 1/2 in U 13.770 * [backup-simplify]: Simplify 1/2 into 1/2 13.770 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 13.770 * [taylor]: Taking taylor expansion of J in U 13.770 * [backup-simplify]: Simplify J into J 13.770 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 13.770 * [taylor]: Taking taylor expansion of U in U 13.770 * [backup-simplify]: Simplify 0 into 0 13.770 * [backup-simplify]: Simplify 1 into 1 13.770 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.770 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.770 * [taylor]: Taking taylor expansion of 1/2 in U 13.770 * [backup-simplify]: Simplify 1/2 into 1/2 13.770 * [taylor]: Taking taylor expansion of K in U 13.770 * [backup-simplify]: Simplify K into K 13.770 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.770 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.770 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.770 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.770 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.771 * [backup-simplify]: Simplify (- 0) into 0 13.771 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.771 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 13.771 * [backup-simplify]: Simplify (+ 0) into 0 13.771 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.771 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.772 * [backup-simplify]: Simplify (- 0) into 0 13.773 * [backup-simplify]: Simplify (+ 0 0) into 0 13.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 13.773 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 13.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 13.773 * [taylor]: Taking taylor expansion of 1/2 in U 13.773 * [backup-simplify]: Simplify 1/2 into 1/2 13.773 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 13.773 * [taylor]: Taking taylor expansion of J in U 13.773 * [backup-simplify]: Simplify J into J 13.773 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 13.773 * [taylor]: Taking taylor expansion of U in U 13.773 * [backup-simplify]: Simplify 0 into 0 13.773 * [backup-simplify]: Simplify 1 into 1 13.773 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.773 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.773 * [taylor]: Taking taylor expansion of 1/2 in U 13.773 * [backup-simplify]: Simplify 1/2 into 1/2 13.773 * [taylor]: Taking taylor expansion of K in U 13.773 * [backup-simplify]: Simplify K into K 13.773 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.773 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.773 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.774 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.774 * [backup-simplify]: Simplify (- 0) into 0 13.774 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.774 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 13.774 * [backup-simplify]: Simplify (+ 0) into 0 13.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.775 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.775 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.776 * [backup-simplify]: Simplify (- 0) into 0 13.776 * [backup-simplify]: Simplify (+ 0 0) into 0 13.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 13.776 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 13.776 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.776 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.776 * [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))) 13.777 * [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))) 13.777 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.778 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.779 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.780 * [backup-simplify]: Simplify (- 0) into 0 13.780 * [backup-simplify]: Simplify (+ 0 0) into 0 13.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 13.781 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 13.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.784 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.784 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.785 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.785 * [backup-simplify]: Simplify (- 0) into 0 13.786 * [backup-simplify]: Simplify (+ 0 0) into 0 13.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 13.787 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 13.788 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.788 * [backup-simplify]: Simplify (+ 0 0) into 0 13.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.788 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.789 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.789 * [taylor]: Taking taylor expansion of 1/2 in U 13.789 * [backup-simplify]: Simplify 1/2 into 1/2 13.789 * [taylor]: Taking taylor expansion of K in U 13.789 * [backup-simplify]: Simplify K into K 13.789 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.789 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.789 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.789 * [taylor]: Taking taylor expansion of J in U 13.789 * [backup-simplify]: Simplify J into J 13.789 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.789 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.789 * [backup-simplify]: Simplify (- 0) into 0 13.790 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.790 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 13.790 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 13.790 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 13.790 * [taylor]: Taking taylor expansion of -2 in U 13.790 * [backup-simplify]: Simplify -2 into -2 13.790 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 13.790 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 13.790 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 13.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 13.790 * [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 13.790 * [taylor]: Taking taylor expansion of (* 1 1) in U 13.790 * [taylor]: Taking taylor expansion of 1 in U 13.790 * [backup-simplify]: Simplify 1 into 1 13.790 * [taylor]: Taking taylor expansion of 1 in U 13.790 * [backup-simplify]: Simplify 1 into 1 13.790 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 13.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 13.790 * [taylor]: Taking taylor expansion of 1/2 in U 13.790 * [backup-simplify]: Simplify 1/2 into 1/2 13.790 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 13.790 * [taylor]: Taking taylor expansion of J in U 13.790 * [backup-simplify]: Simplify J into J 13.790 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 13.790 * [taylor]: Taking taylor expansion of U in U 13.790 * [backup-simplify]: Simplify 0 into 0 13.791 * [backup-simplify]: Simplify 1 into 1 13.791 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.791 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.791 * [taylor]: Taking taylor expansion of 1/2 in U 13.791 * [backup-simplify]: Simplify 1/2 into 1/2 13.791 * [taylor]: Taking taylor expansion of K in U 13.791 * [backup-simplify]: Simplify K into K 13.791 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.791 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.791 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.791 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.791 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.791 * [backup-simplify]: Simplify (- 0) into 0 13.792 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.792 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 13.792 * [backup-simplify]: Simplify (+ 0) into 0 13.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.793 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.794 * [backup-simplify]: Simplify (- 0) into 0 13.794 * [backup-simplify]: Simplify (+ 0 0) into 0 13.795 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 13.795 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 13.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 13.795 * [taylor]: Taking taylor expansion of 1/2 in U 13.795 * [backup-simplify]: Simplify 1/2 into 1/2 13.795 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 13.795 * [taylor]: Taking taylor expansion of J in U 13.795 * [backup-simplify]: Simplify J into J 13.795 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 13.795 * [taylor]: Taking taylor expansion of U in U 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify 1 into 1 13.795 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.795 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.795 * [taylor]: Taking taylor expansion of 1/2 in U 13.795 * [backup-simplify]: Simplify 1/2 into 1/2 13.795 * [taylor]: Taking taylor expansion of K in U 13.795 * [backup-simplify]: Simplify K into K 13.795 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.795 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.795 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.795 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.795 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.795 * [backup-simplify]: Simplify (- 0) into 0 13.795 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.795 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 13.796 * [backup-simplify]: Simplify (+ 0) into 0 13.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.796 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.797 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.797 * [backup-simplify]: Simplify (- 0) into 0 13.797 * [backup-simplify]: Simplify (+ 0 0) into 0 13.798 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 13.798 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 13.798 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.798 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.798 * [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))) 13.798 * [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))) 13.798 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.799 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.799 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.800 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.800 * [backup-simplify]: Simplify (- 0) into 0 13.801 * [backup-simplify]: Simplify (+ 0 0) into 0 13.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 13.801 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 13.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.803 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.803 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.803 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.804 * [backup-simplify]: Simplify (- 0) into 0 13.804 * [backup-simplify]: Simplify (+ 0 0) into 0 13.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 13.805 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 13.806 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.806 * [backup-simplify]: Simplify (+ 0 0) into 0 13.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.806 * [taylor]: Taking taylor expansion of 1/2 in U 13.806 * [backup-simplify]: Simplify 1/2 into 1/2 13.806 * [taylor]: Taking taylor expansion of K in U 13.806 * [backup-simplify]: Simplify K into K 13.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.806 * [taylor]: Taking taylor expansion of J in U 13.806 * [backup-simplify]: Simplify J into J 13.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.807 * [backup-simplify]: Simplify (- 0) into 0 13.807 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.807 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 13.807 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 13.807 * [backup-simplify]: Simplify (* -2 1/2) into -1 13.807 * [taylor]: Taking taylor expansion of -1 in J 13.807 * [backup-simplify]: Simplify -1 into -1 13.808 * [backup-simplify]: Simplify (+ 0) into 0 13.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.809 * [backup-simplify]: Simplify (- 0) into 0 13.809 * [backup-simplify]: Simplify (+ 0 0) into 0 13.809 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.809 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 13.810 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 13.810 * [taylor]: Taking taylor expansion of 0 in J 13.810 * [backup-simplify]: Simplify 0 into 0 13.810 * [taylor]: Taking taylor expansion of -1 in K 13.810 * [backup-simplify]: Simplify -1 into -1 13.810 * [backup-simplify]: Simplify -1 into -1 13.810 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.812 * [backup-simplify]: Simplify (- 0) into 0 13.812 * [backup-simplify]: Simplify (+ 0 0) into 0 13.813 * [backup-simplify]: Simplify (* 1 1) into 1 13.814 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.816 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.816 * [backup-simplify]: Simplify (- 0) into 0 13.816 * [backup-simplify]: Simplify (+ 0 0) into 0 13.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 13.817 * [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 13.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 13.822 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.824 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.827 * [backup-simplify]: Simplify (- 0) into 0 13.827 * [backup-simplify]: Simplify (+ 0 0) into 0 13.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 13.829 * [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 13.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 13.831 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 13.831 * [backup-simplify]: Simplify (+ 1 0) into 1 13.832 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 13.833 * [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) 13.833 * [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)) 13.834 * [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)))) 13.834 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 13.834 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 13.834 * [taylor]: Taking taylor expansion of 2 in J 13.834 * [backup-simplify]: Simplify 2 into 2 13.834 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 13.835 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.835 * [taylor]: Taking taylor expansion of 1/2 in J 13.835 * [backup-simplify]: Simplify 1/2 into 1/2 13.835 * [taylor]: Taking taylor expansion of K in J 13.835 * [backup-simplify]: Simplify K into K 13.835 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.835 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.835 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.835 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.835 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.835 * [backup-simplify]: Simplify (- 0) into 0 13.836 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.836 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.836 * [taylor]: Taking taylor expansion of J in J 13.836 * [backup-simplify]: Simplify 0 into 0 13.836 * [backup-simplify]: Simplify 1 into 1 13.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.836 * [backup-simplify]: Simplify (* 1 1) into 1 13.836 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 13.837 * [backup-simplify]: Simplify (+ 0) into 0 13.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.837 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.839 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.839 * [backup-simplify]: Simplify (- 0) into 0 13.840 * [backup-simplify]: Simplify (+ 0 0) into 0 13.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 13.842 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.842 * [backup-simplify]: Simplify (- 0) into 0 13.842 * [taylor]: Taking taylor expansion of 0 in K 13.842 * [backup-simplify]: Simplify 0 into 0 13.842 * [backup-simplify]: Simplify 0 into 0 13.843 * [taylor]: Taking taylor expansion of 0 in K 13.843 * [backup-simplify]: Simplify 0 into 0 13.843 * [backup-simplify]: Simplify 0 into 0 13.843 * [taylor]: Taking taylor expansion of 0 in K 13.843 * [backup-simplify]: Simplify 0 into 0 13.843 * [backup-simplify]: Simplify 0 into 0 13.843 * [backup-simplify]: Simplify 0 into 0 13.844 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.845 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.845 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.848 * [backup-simplify]: Simplify (- 0) into 0 13.848 * [backup-simplify]: Simplify (+ 0 0) into 0 13.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.851 * [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 13.852 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.853 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.854 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.855 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.856 * [backup-simplify]: Simplify (- 0) into 0 13.856 * [backup-simplify]: Simplify (+ 0 0) into 0 13.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 13.858 * [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 13.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 13.862 * [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 13.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.866 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.868 * [backup-simplify]: Simplify (- 0) into 0 13.868 * [backup-simplify]: Simplify (+ 0 0) into 0 13.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 13.870 * [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 13.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 13.872 * [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 13.873 * [backup-simplify]: Simplify (+ 0 0) into 0 13.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.874 * [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 13.874 * [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 13.876 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 13.876 * [taylor]: Taking taylor expansion of 0 in J 13.876 * [backup-simplify]: Simplify 0 into 0 13.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.878 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.880 * [backup-simplify]: Simplify (- 0) into 0 13.880 * [backup-simplify]: Simplify (+ 0 0) into 0 13.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.884 * [backup-simplify]: Simplify (- 0) into 0 13.884 * [taylor]: Taking taylor expansion of 0 in K 13.885 * [backup-simplify]: Simplify 0 into 0 13.885 * [backup-simplify]: Simplify 0 into 0 13.885 * [taylor]: Taking taylor expansion of 0 in K 13.885 * [backup-simplify]: Simplify 0 into 0 13.885 * [backup-simplify]: Simplify 0 into 0 13.885 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 13.885 * [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)) 13.885 * [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 13.885 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 13.885 * [taylor]: Taking taylor expansion of 2 in K 13.885 * [backup-simplify]: Simplify 2 into 2 13.886 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 13.886 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 13.886 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.886 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.886 * [taylor]: Taking taylor expansion of -1/2 in K 13.886 * [backup-simplify]: Simplify -1/2 into -1/2 13.886 * [taylor]: Taking taylor expansion of K in K 13.886 * [backup-simplify]: Simplify 0 into 0 13.886 * [backup-simplify]: Simplify 1 into 1 13.886 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.886 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.886 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 13.886 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 13.886 * [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 13.886 * [taylor]: Taking taylor expansion of (* 1 1) in K 13.887 * [taylor]: Taking taylor expansion of 1 in K 13.887 * [backup-simplify]: Simplify 1 into 1 13.887 * [taylor]: Taking taylor expansion of 1 in K 13.887 * [backup-simplify]: Simplify 1 into 1 13.887 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 13.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 13.887 * [taylor]: Taking taylor expansion of 1/2 in K 13.887 * [backup-simplify]: Simplify 1/2 into 1/2 13.887 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 13.887 * [taylor]: Taking taylor expansion of J in K 13.887 * [backup-simplify]: Simplify J into J 13.887 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 13.887 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.887 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.887 * [taylor]: Taking taylor expansion of -1/2 in K 13.887 * [backup-simplify]: Simplify -1/2 into -1/2 13.887 * [taylor]: Taking taylor expansion of K in K 13.887 * [backup-simplify]: Simplify 0 into 0 13.887 * [backup-simplify]: Simplify 1 into 1 13.887 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.888 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.888 * [taylor]: Taking taylor expansion of U in K 13.888 * [backup-simplify]: Simplify U into U 13.888 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 13.888 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 13.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 13.888 * [taylor]: Taking taylor expansion of 1/2 in K 13.888 * [backup-simplify]: Simplify 1/2 into 1/2 13.888 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 13.888 * [taylor]: Taking taylor expansion of J in K 13.888 * [backup-simplify]: Simplify J into J 13.888 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 13.888 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.888 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.888 * [taylor]: Taking taylor expansion of -1/2 in K 13.888 * [backup-simplify]: Simplify -1/2 into -1/2 13.888 * [taylor]: Taking taylor expansion of K in K 13.888 * [backup-simplify]: Simplify 0 into 0 13.888 * [backup-simplify]: Simplify 1 into 1 13.889 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.889 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.889 * [taylor]: Taking taylor expansion of U in K 13.889 * [backup-simplify]: Simplify U into U 13.889 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 13.889 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 13.889 * [backup-simplify]: Simplify (* 1 1) into 1 13.890 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 13.890 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 13.890 * [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)))) 13.891 * [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))))) 13.891 * [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)))))) 13.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.892 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 13.892 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 13.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 13.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 13.894 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 13.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 13.895 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 13.895 * [backup-simplify]: Simplify (+ 0 0) into 0 13.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 13.896 * [taylor]: Taking taylor expansion of J in K 13.896 * [backup-simplify]: Simplify J into J 13.896 * [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))))))) 13.897 * [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))))))) 13.897 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 13.897 * [taylor]: Taking taylor expansion of 2 in J 13.897 * [backup-simplify]: Simplify 2 into 2 13.897 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 13.897 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 13.897 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.897 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.897 * [taylor]: Taking taylor expansion of -1/2 in J 13.897 * [backup-simplify]: Simplify -1/2 into -1/2 13.897 * [taylor]: Taking taylor expansion of K in J 13.897 * [backup-simplify]: Simplify K into K 13.897 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.897 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.897 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.897 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 13.897 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 13.897 * [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 13.897 * [taylor]: Taking taylor expansion of (* 1 1) in J 13.897 * [taylor]: Taking taylor expansion of 1 in J 13.897 * [backup-simplify]: Simplify 1 into 1 13.897 * [taylor]: Taking taylor expansion of 1 in J 13.897 * [backup-simplify]: Simplify 1 into 1 13.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 13.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 13.898 * [taylor]: Taking taylor expansion of 1/2 in J 13.898 * [backup-simplify]: Simplify 1/2 into 1/2 13.898 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 13.898 * [taylor]: Taking taylor expansion of J in J 13.898 * [backup-simplify]: Simplify 0 into 0 13.898 * [backup-simplify]: Simplify 1 into 1 13.898 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 13.898 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.898 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.898 * [taylor]: Taking taylor expansion of -1/2 in J 13.898 * [backup-simplify]: Simplify -1/2 into -1/2 13.898 * [taylor]: Taking taylor expansion of K in J 13.898 * [backup-simplify]: Simplify K into K 13.898 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.898 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.898 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.898 * [taylor]: Taking taylor expansion of U in J 13.898 * [backup-simplify]: Simplify U into U 13.898 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.898 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.899 * [backup-simplify]: Simplify (- 0) into 0 13.899 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.899 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 13.899 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 13.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 13.899 * [taylor]: Taking taylor expansion of 1/2 in J 13.899 * [backup-simplify]: Simplify 1/2 into 1/2 13.899 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 13.899 * [taylor]: Taking taylor expansion of J in J 13.899 * [backup-simplify]: Simplify 0 into 0 13.899 * [backup-simplify]: Simplify 1 into 1 13.899 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 13.899 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.899 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.900 * [taylor]: Taking taylor expansion of -1/2 in J 13.900 * [backup-simplify]: Simplify -1/2 into -1/2 13.900 * [taylor]: Taking taylor expansion of K in J 13.900 * [backup-simplify]: Simplify K into K 13.900 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.900 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.900 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.900 * [taylor]: Taking taylor expansion of U in J 13.900 * [backup-simplify]: Simplify U into U 13.900 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.900 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.901 * [backup-simplify]: Simplify (- 0) into 0 13.901 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 13.901 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 13.901 * [backup-simplify]: Simplify (* 1 1) into 1 13.902 * [backup-simplify]: Simplify (+ 1 0) into 1 13.902 * [backup-simplify]: Simplify (sqrt 1) into 1 13.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.903 * [backup-simplify]: Simplify (+ 0 0) into 0 13.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.904 * [taylor]: Taking taylor expansion of J in J 13.904 * [backup-simplify]: Simplify 0 into 0 13.904 * [backup-simplify]: Simplify 1 into 1 13.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.904 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.905 * [backup-simplify]: Simplify (- 0) into 0 13.905 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.905 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.905 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 13.905 * [taylor]: Taking taylor expansion of 2 in U 13.905 * [backup-simplify]: Simplify 2 into 2 13.905 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 13.905 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 13.905 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.905 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.905 * [taylor]: Taking taylor expansion of -1/2 in U 13.905 * [backup-simplify]: Simplify -1/2 into -1/2 13.905 * [taylor]: Taking taylor expansion of K in U 13.905 * [backup-simplify]: Simplify K into K 13.906 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.906 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.906 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 13.906 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 13.906 * [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 13.906 * [taylor]: Taking taylor expansion of (* 1 1) in U 13.906 * [taylor]: Taking taylor expansion of 1 in U 13.906 * [backup-simplify]: Simplify 1 into 1 13.906 * [taylor]: Taking taylor expansion of 1 in U 13.906 * [backup-simplify]: Simplify 1 into 1 13.906 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 13.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 13.906 * [taylor]: Taking taylor expansion of 1/2 in U 13.906 * [backup-simplify]: Simplify 1/2 into 1/2 13.906 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 13.906 * [taylor]: Taking taylor expansion of J in U 13.906 * [backup-simplify]: Simplify J into J 13.906 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 13.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.906 * [taylor]: Taking taylor expansion of -1/2 in U 13.906 * [backup-simplify]: Simplify -1/2 into -1/2 13.906 * [taylor]: Taking taylor expansion of K in U 13.906 * [backup-simplify]: Simplify K into K 13.906 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.907 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.907 * [taylor]: Taking taylor expansion of U in U 13.907 * [backup-simplify]: Simplify 0 into 0 13.907 * [backup-simplify]: Simplify 1 into 1 13.907 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.907 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.907 * [backup-simplify]: Simplify (- 0) into 0 13.907 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 13.908 * [backup-simplify]: Simplify (+ 0) into 0 13.908 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.909 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.910 * [backup-simplify]: Simplify (- 0) into 0 13.911 * [backup-simplify]: Simplify (+ 0 0) into 0 13.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 13.911 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 13.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 13.912 * [taylor]: Taking taylor expansion of 1/2 in U 13.912 * [backup-simplify]: Simplify 1/2 into 1/2 13.912 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 13.912 * [taylor]: Taking taylor expansion of J in U 13.912 * [backup-simplify]: Simplify J into J 13.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 13.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.912 * [taylor]: Taking taylor expansion of -1/2 in U 13.912 * [backup-simplify]: Simplify -1/2 into -1/2 13.912 * [taylor]: Taking taylor expansion of K in U 13.912 * [backup-simplify]: Simplify K into K 13.912 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.912 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.912 * [taylor]: Taking taylor expansion of U in U 13.912 * [backup-simplify]: Simplify 0 into 0 13.912 * [backup-simplify]: Simplify 1 into 1 13.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.912 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.913 * [backup-simplify]: Simplify (- 0) into 0 13.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 13.913 * [backup-simplify]: Simplify (+ 0) into 0 13.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.916 * [backup-simplify]: Simplify (- 0) into 0 13.916 * [backup-simplify]: Simplify (+ 0 0) into 0 13.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 13.917 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 13.917 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.917 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.917 * [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))) 13.918 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.918 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.920 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.921 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.921 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.922 * [backup-simplify]: Simplify (- 0) into 0 13.922 * [backup-simplify]: Simplify (+ 0 0) into 0 13.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.923 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 13.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.924 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.924 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.925 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.925 * [backup-simplify]: Simplify (- 0) into 0 13.926 * [backup-simplify]: Simplify (+ 0 0) into 0 13.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 13.927 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.927 * [backup-simplify]: Simplify (+ 0 0) into 0 13.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.927 * [taylor]: Taking taylor expansion of J in U 13.927 * [backup-simplify]: Simplify J into J 13.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.927 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.928 * [backup-simplify]: Simplify (- 0) into 0 13.928 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 13.928 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 13.928 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 13.928 * [taylor]: Taking taylor expansion of 2 in U 13.928 * [backup-simplify]: Simplify 2 into 2 13.928 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 13.928 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 13.928 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.928 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.928 * [taylor]: Taking taylor expansion of -1/2 in U 13.928 * [backup-simplify]: Simplify -1/2 into -1/2 13.928 * [taylor]: Taking taylor expansion of K in U 13.928 * [backup-simplify]: Simplify K into K 13.928 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.928 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.928 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.928 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 13.928 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 13.928 * [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 13.928 * [taylor]: Taking taylor expansion of (* 1 1) in U 13.928 * [taylor]: Taking taylor expansion of 1 in U 13.928 * [backup-simplify]: Simplify 1 into 1 13.928 * [taylor]: Taking taylor expansion of 1 in U 13.928 * [backup-simplify]: Simplify 1 into 1 13.928 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 13.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 13.928 * [taylor]: Taking taylor expansion of 1/2 in U 13.928 * [backup-simplify]: Simplify 1/2 into 1/2 13.928 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 13.928 * [taylor]: Taking taylor expansion of J in U 13.928 * [backup-simplify]: Simplify J into J 13.928 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 13.928 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.928 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.928 * [taylor]: Taking taylor expansion of -1/2 in U 13.928 * [backup-simplify]: Simplify -1/2 into -1/2 13.928 * [taylor]: Taking taylor expansion of K in U 13.928 * [backup-simplify]: Simplify K into K 13.928 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.929 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.929 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.929 * [taylor]: Taking taylor expansion of U in U 13.929 * [backup-simplify]: Simplify 0 into 0 13.929 * [backup-simplify]: Simplify 1 into 1 13.929 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.929 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.929 * [backup-simplify]: Simplify (- 0) into 0 13.929 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.929 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 13.929 * [backup-simplify]: Simplify (+ 0) into 0 13.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.931 * [backup-simplify]: Simplify (- 0) into 0 13.931 * [backup-simplify]: Simplify (+ 0 0) into 0 13.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 13.932 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 13.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 13.932 * [taylor]: Taking taylor expansion of 1/2 in U 13.932 * [backup-simplify]: Simplify 1/2 into 1/2 13.932 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 13.932 * [taylor]: Taking taylor expansion of J in U 13.932 * [backup-simplify]: Simplify J into J 13.932 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 13.932 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.932 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.932 * [taylor]: Taking taylor expansion of -1/2 in U 13.932 * [backup-simplify]: Simplify -1/2 into -1/2 13.932 * [taylor]: Taking taylor expansion of K in U 13.932 * [backup-simplify]: Simplify K into K 13.932 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.932 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.932 * [taylor]: Taking taylor expansion of U in U 13.932 * [backup-simplify]: Simplify 0 into 0 13.932 * [backup-simplify]: Simplify 1 into 1 13.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.932 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.932 * [backup-simplify]: Simplify (- 0) into 0 13.932 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 13.933 * [backup-simplify]: Simplify (+ 0) into 0 13.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.933 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.934 * [backup-simplify]: Simplify (- 0) into 0 13.935 * [backup-simplify]: Simplify (+ 0 0) into 0 13.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 13.935 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 13.935 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.935 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.935 * [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))) 13.936 * [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))) 13.936 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.938 * [backup-simplify]: Simplify (- 0) into 0 13.938 * [backup-simplify]: Simplify (+ 0 0) into 0 13.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.939 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 13.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.941 * [backup-simplify]: Simplify (- 0) into 0 13.941 * [backup-simplify]: Simplify (+ 0 0) into 0 13.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.942 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 13.943 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.943 * [backup-simplify]: Simplify (+ 0 0) into 0 13.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.943 * [taylor]: Taking taylor expansion of J in U 13.943 * [backup-simplify]: Simplify J into J 13.943 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.943 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.943 * [backup-simplify]: Simplify (- 0) into 0 13.943 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.944 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 13.944 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 13.944 * [backup-simplify]: Simplify (* 2 1/2) into 1 13.944 * [taylor]: Taking taylor expansion of 1 in J 13.944 * [backup-simplify]: Simplify 1 into 1 13.944 * [backup-simplify]: Simplify (+ 0) into 0 13.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.945 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.946 * [backup-simplify]: Simplify (- 0) into 0 13.946 * [backup-simplify]: Simplify (+ 0 0) into 0 13.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.946 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 13.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 13.947 * [taylor]: Taking taylor expansion of 0 in J 13.947 * [backup-simplify]: Simplify 0 into 0 13.947 * [taylor]: Taking taylor expansion of 1 in K 13.947 * [backup-simplify]: Simplify 1 into 1 13.947 * [backup-simplify]: Simplify 1 into 1 13.947 * [backup-simplify]: Simplify (* 1 1) into 1 13.948 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.948 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.950 * [backup-simplify]: Simplify (- 0) into 0 13.951 * [backup-simplify]: Simplify (+ 0 0) into 0 13.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.952 * [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 13.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 13.954 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.955 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.958 * [backup-simplify]: Simplify (- 0) into 0 13.958 * [backup-simplify]: Simplify (+ 0 0) into 0 13.964 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.965 * [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 13.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 13.967 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 13.967 * [backup-simplify]: Simplify (+ 1 0) into 1 13.968 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 13.969 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.970 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.971 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.972 * [backup-simplify]: Simplify (- 0) into 0 13.972 * [backup-simplify]: Simplify (+ 0 0) into 0 13.973 * [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) 13.974 * [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)) 13.975 * [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))) 13.975 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 13.975 * [taylor]: Taking taylor expansion of 2 in J 13.975 * [backup-simplify]: Simplify 2 into 2 13.975 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 13.975 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.975 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.975 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.975 * [taylor]: Taking taylor expansion of -1/2 in J 13.975 * [backup-simplify]: Simplify -1/2 into -1/2 13.975 * [taylor]: Taking taylor expansion of K in J 13.975 * [backup-simplify]: Simplify K into K 13.975 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.975 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.975 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.975 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.976 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.976 * [backup-simplify]: Simplify (- 0) into 0 13.976 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.976 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.976 * [taylor]: Taking taylor expansion of J in J 13.976 * [backup-simplify]: Simplify 0 into 0 13.976 * [backup-simplify]: Simplify 1 into 1 13.976 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.977 * [backup-simplify]: Simplify (* 1 1) into 1 13.977 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.977 * [backup-simplify]: Simplify (+ 0) into 0 13.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.978 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.980 * [backup-simplify]: Simplify (- 0) into 0 13.980 * [backup-simplify]: Simplify (+ 0 0) into 0 13.980 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 13.982 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 13.982 * [taylor]: Taking taylor expansion of 0 in K 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [taylor]: Taking taylor expansion of 0 in K 13.983 * [backup-simplify]: Simplify 0 into 0 13.983 * [backup-simplify]: Simplify 0 into 0 13.983 * [taylor]: Taking taylor expansion of 0 in K 13.983 * [backup-simplify]: Simplify 0 into 0 13.983 * [backup-simplify]: Simplify 0 into 0 13.983 * [backup-simplify]: Simplify 0 into 0 13.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.986 * [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 13.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.989 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.990 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.990 * [backup-simplify]: Simplify (- 0) into 0 13.990 * [backup-simplify]: Simplify (+ 0 0) into 0 13.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.992 * [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 13.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 13.995 * [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 13.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.999 * [backup-simplify]: Simplify (- 0) into 0 14.000 * [backup-simplify]: Simplify (+ 0 0) into 0 14.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.001 * [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 14.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 14.004 * [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 14.004 * [backup-simplify]: Simplify (+ 0 0) into 0 14.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 14.005 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.007 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.009 * [backup-simplify]: Simplify (- 0) into 0 14.010 * [backup-simplify]: Simplify (+ 0 0) into 0 14.011 * [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 14.011 * [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 14.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 14.012 * [taylor]: Taking taylor expansion of 0 in J 14.012 * [backup-simplify]: Simplify 0 into 0 14.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.015 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.016 * [backup-simplify]: Simplify (- 0) into 0 14.017 * [backup-simplify]: Simplify (+ 0 0) into 0 14.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 14.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 14.021 * [taylor]: Taking taylor expansion of 0 in K 14.021 * [backup-simplify]: Simplify 0 into 0 14.021 * [backup-simplify]: Simplify 0 into 0 14.021 * [taylor]: Taking taylor expansion of 0 in K 14.021 * [backup-simplify]: Simplify 0 into 0 14.021 * [backup-simplify]: Simplify 0 into 0 14.021 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 14.021 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 14.021 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 14.021 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 14.021 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 14.021 * [taylor]: Taking taylor expansion of 2 in K 14.021 * [backup-simplify]: Simplify 2 into 2 14.021 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.021 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.021 * [taylor]: Taking taylor expansion of 1/2 in K 14.022 * [backup-simplify]: Simplify 1/2 into 1/2 14.022 * [taylor]: Taking taylor expansion of K in K 14.022 * [backup-simplify]: Simplify 0 into 0 14.022 * [backup-simplify]: Simplify 1 into 1 14.022 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.023 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.023 * [taylor]: Taking taylor expansion of J in K 14.023 * [backup-simplify]: Simplify J into J 14.023 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 14.023 * [taylor]: Taking taylor expansion of 2 in J 14.023 * [backup-simplify]: Simplify 2 into 2 14.023 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.023 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.023 * [taylor]: Taking taylor expansion of 1/2 in J 14.023 * [backup-simplify]: Simplify 1/2 into 1/2 14.023 * [taylor]: Taking taylor expansion of K in J 14.023 * [backup-simplify]: Simplify K into K 14.023 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.023 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.023 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.023 * [taylor]: Taking taylor expansion of J in J 14.023 * [backup-simplify]: Simplify 0 into 0 14.023 * [backup-simplify]: Simplify 1 into 1 14.024 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 14.024 * [taylor]: Taking taylor expansion of 2 in J 14.024 * [backup-simplify]: Simplify 2 into 2 14.024 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.024 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.024 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.024 * [taylor]: Taking taylor expansion of 1/2 in J 14.024 * [backup-simplify]: Simplify 1/2 into 1/2 14.024 * [taylor]: Taking taylor expansion of K in J 14.024 * [backup-simplify]: Simplify K into K 14.024 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.024 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.024 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.024 * [taylor]: Taking taylor expansion of J in J 14.024 * [backup-simplify]: Simplify 0 into 0 14.024 * [backup-simplify]: Simplify 1 into 1 14.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.024 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.025 * [backup-simplify]: Simplify (- 0) into 0 14.025 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.026 * [backup-simplify]: Simplify (* 2 0) into 0 14.026 * [taylor]: Taking taylor expansion of 0 in K 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [backup-simplify]: Simplify (+ 0) into 0 14.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.029 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.029 * [backup-simplify]: Simplify (- 0) into 0 14.030 * [backup-simplify]: Simplify (+ 0 0) into 0 14.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.031 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 14.031 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 14.031 * [taylor]: Taking taylor expansion of 2 in K 14.031 * [backup-simplify]: Simplify 2 into 2 14.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.031 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.031 * [taylor]: Taking taylor expansion of 1/2 in K 14.031 * [backup-simplify]: Simplify 1/2 into 1/2 14.031 * [taylor]: Taking taylor expansion of K in K 14.031 * [backup-simplify]: Simplify 0 into 0 14.031 * [backup-simplify]: Simplify 1 into 1 14.032 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.033 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.033 * [backup-simplify]: Simplify (* 2 1) into 2 14.033 * [backup-simplify]: Simplify 2 into 2 14.034 * [backup-simplify]: Simplify 0 into 0 14.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.038 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.038 * [backup-simplify]: Simplify (- 0) into 0 14.039 * [backup-simplify]: Simplify (+ 0 0) into 0 14.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 14.041 * [taylor]: Taking taylor expansion of 0 in K 14.041 * [backup-simplify]: Simplify 0 into 0 14.041 * [backup-simplify]: Simplify 0 into 0 14.041 * [backup-simplify]: Simplify (+ 0) into 0 14.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.042 * [backup-simplify]: Simplify 0 into 0 14.042 * [backup-simplify]: Simplify 0 into 0 14.042 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.043 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.045 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.045 * [backup-simplify]: Simplify (- 0) into 0 14.045 * [backup-simplify]: Simplify (+ 0 0) into 0 14.046 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 14.047 * [taylor]: Taking taylor expansion of 0 in K 14.047 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 14.047 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 14.047 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 14.047 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 14.047 * [taylor]: Taking taylor expansion of 2 in K 14.047 * [backup-simplify]: Simplify 2 into 2 14.047 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 14.047 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.047 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.047 * [taylor]: Taking taylor expansion of 1/2 in K 14.047 * [backup-simplify]: Simplify 1/2 into 1/2 14.047 * [taylor]: Taking taylor expansion of K in K 14.047 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify 1 into 1 14.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.047 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.047 * [taylor]: Taking taylor expansion of J in K 14.047 * [backup-simplify]: Simplify J into J 14.048 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 14.048 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 14.048 * [taylor]: Taking taylor expansion of 2 in J 14.048 * [backup-simplify]: Simplify 2 into 2 14.048 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 14.048 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.048 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.048 * [taylor]: Taking taylor expansion of 1/2 in J 14.048 * [backup-simplify]: Simplify 1/2 into 1/2 14.048 * [taylor]: Taking taylor expansion of K in J 14.048 * [backup-simplify]: Simplify K into K 14.048 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.048 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.048 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.048 * [taylor]: Taking taylor expansion of J in J 14.048 * [backup-simplify]: Simplify 0 into 0 14.048 * [backup-simplify]: Simplify 1 into 1 14.048 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.048 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.048 * [backup-simplify]: Simplify (- 0) into 0 14.048 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.048 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.048 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 14.048 * [taylor]: Taking taylor expansion of 2 in J 14.048 * [backup-simplify]: Simplify 2 into 2 14.048 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 14.048 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.048 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.048 * [taylor]: Taking taylor expansion of 1/2 in J 14.048 * [backup-simplify]: Simplify 1/2 into 1/2 14.049 * [taylor]: Taking taylor expansion of K in J 14.049 * [backup-simplify]: Simplify K into K 14.049 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.049 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.049 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.049 * [taylor]: Taking taylor expansion of J in J 14.049 * [backup-simplify]: Simplify 0 into 0 14.049 * [backup-simplify]: Simplify 1 into 1 14.049 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.049 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.049 * [backup-simplify]: Simplify (- 0) into 0 14.049 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.049 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.049 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 14.049 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 14.049 * [taylor]: Taking taylor expansion of 2 in K 14.049 * [backup-simplify]: Simplify 2 into 2 14.049 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.049 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.049 * [taylor]: Taking taylor expansion of 1/2 in K 14.049 * [backup-simplify]: Simplify 1/2 into 1/2 14.049 * [taylor]: Taking taylor expansion of K in K 14.049 * [backup-simplify]: Simplify 0 into 0 14.049 * [backup-simplify]: Simplify 1 into 1 14.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.050 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.050 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 14.050 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 14.050 * [backup-simplify]: Simplify (+ 0) into 0 14.050 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.051 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.051 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.052 * [backup-simplify]: Simplify (- 0) into 0 14.052 * [backup-simplify]: Simplify (+ 0 0) into 0 14.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 14.053 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 14.053 * [taylor]: Taking taylor expansion of 0 in K 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.053 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.055 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.055 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.055 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.056 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.056 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.056 * [backup-simplify]: Simplify (- 0) into 0 14.057 * [backup-simplify]: Simplify (+ 0 0) into 0 14.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.058 * [taylor]: Taking taylor expansion of 0 in K 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify 0 into 0 14.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 14.059 * [backup-simplify]: Simplify 0 into 0 14.059 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.060 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.060 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.062 * [backup-simplify]: Simplify (- 0) into 0 14.062 * [backup-simplify]: Simplify (+ 0 0) into 0 14.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.064 * [taylor]: Taking taylor expansion of 0 in K 14.064 * [backup-simplify]: Simplify 0 into 0 14.064 * [backup-simplify]: Simplify 0 into 0 14.064 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 14.064 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 14.064 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 14.064 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 14.064 * [taylor]: Taking taylor expansion of -2 in K 14.064 * [backup-simplify]: Simplify -2 into -2 14.064 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 14.064 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.064 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.064 * [taylor]: Taking taylor expansion of -1/2 in K 14.064 * [backup-simplify]: Simplify -1/2 into -1/2 14.064 * [taylor]: Taking taylor expansion of K in K 14.064 * [backup-simplify]: Simplify 0 into 0 14.064 * [backup-simplify]: Simplify 1 into 1 14.065 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.065 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.065 * [taylor]: Taking taylor expansion of J in K 14.065 * [backup-simplify]: Simplify J into J 14.065 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 14.065 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 14.065 * [taylor]: Taking taylor expansion of -2 in J 14.065 * [backup-simplify]: Simplify -2 into -2 14.065 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 14.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.065 * [taylor]: Taking taylor expansion of -1/2 in J 14.065 * [backup-simplify]: Simplify -1/2 into -1/2 14.065 * [taylor]: Taking taylor expansion of K in J 14.065 * [backup-simplify]: Simplify K into K 14.065 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.065 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.065 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.065 * [taylor]: Taking taylor expansion of J in J 14.065 * [backup-simplify]: Simplify 0 into 0 14.065 * [backup-simplify]: Simplify 1 into 1 14.065 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.065 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.066 * [backup-simplify]: Simplify (- 0) into 0 14.066 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.066 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.066 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 14.066 * [taylor]: Taking taylor expansion of -2 in J 14.066 * [backup-simplify]: Simplify -2 into -2 14.066 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 14.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.066 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.066 * [taylor]: Taking taylor expansion of -1/2 in J 14.066 * [backup-simplify]: Simplify -1/2 into -1/2 14.066 * [taylor]: Taking taylor expansion of K in J 14.066 * [backup-simplify]: Simplify K into K 14.066 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.066 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.066 * [taylor]: Taking taylor expansion of J in J 14.066 * [backup-simplify]: Simplify 0 into 0 14.066 * [backup-simplify]: Simplify 1 into 1 14.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.066 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.066 * [backup-simplify]: Simplify (- 0) into 0 14.066 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.067 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.067 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 14.067 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 14.067 * [taylor]: Taking taylor expansion of -2 in K 14.067 * [backup-simplify]: Simplify -2 into -2 14.067 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.067 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.067 * [taylor]: Taking taylor expansion of -1/2 in K 14.067 * [backup-simplify]: Simplify -1/2 into -1/2 14.067 * [taylor]: Taking taylor expansion of K in K 14.067 * [backup-simplify]: Simplify 0 into 0 14.067 * [backup-simplify]: Simplify 1 into 1 14.067 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.067 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.067 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 14.067 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 14.068 * [backup-simplify]: Simplify (+ 0) into 0 14.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.069 * [backup-simplify]: Simplify (- 0) into 0 14.069 * [backup-simplify]: Simplify (+ 0 0) into 0 14.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 14.071 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 14.071 * [taylor]: Taking taylor expansion of 0 in K 14.071 * [backup-simplify]: Simplify 0 into 0 14.071 * [backup-simplify]: Simplify 0 into 0 14.071 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 14.071 * [backup-simplify]: Simplify 0 into 0 14.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.073 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.076 * [backup-simplify]: Simplify (- 0) into 0 14.076 * [backup-simplify]: Simplify (+ 0 0) into 0 14.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.079 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 14.079 * [taylor]: Taking taylor expansion of 0 in K 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify 0 into 0 14.080 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 14.080 * [backup-simplify]: Simplify 0 into 0 14.081 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.082 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.085 * [backup-simplify]: Simplify (- 0) into 0 14.085 * [backup-simplify]: Simplify (+ 0 0) into 0 14.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.089 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 14.089 * [taylor]: Taking taylor expansion of 0 in K 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify 0 into 0 14.089 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 14.089 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 14.089 * [backup-simplify]: Simplify (/ U (* (* J 2) (cos (/ K 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 14.089 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 14.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.089 * [taylor]: Taking taylor expansion of 1/2 in K 14.089 * [backup-simplify]: Simplify 1/2 into 1/2 14.089 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.089 * [taylor]: Taking taylor expansion of U in K 14.090 * [backup-simplify]: Simplify U into U 14.090 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.090 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.090 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.090 * [taylor]: Taking taylor expansion of 1/2 in K 14.090 * [backup-simplify]: Simplify 1/2 into 1/2 14.090 * [taylor]: Taking taylor expansion of K in K 14.090 * [backup-simplify]: Simplify 0 into 0 14.090 * [backup-simplify]: Simplify 1 into 1 14.090 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.091 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.091 * [taylor]: Taking taylor expansion of J in K 14.091 * [backup-simplify]: Simplify J into J 14.091 * [backup-simplify]: Simplify (* 1 J) into J 14.091 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 14.091 * [taylor]: Taking taylor expansion of 1/2 in J 14.091 * [backup-simplify]: Simplify 1/2 into 1/2 14.091 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 14.091 * [taylor]: Taking taylor expansion of U in J 14.091 * [backup-simplify]: Simplify U into U 14.091 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.091 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.091 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.091 * [taylor]: Taking taylor expansion of 1/2 in J 14.091 * [backup-simplify]: Simplify 1/2 into 1/2 14.091 * [taylor]: Taking taylor expansion of K in J 14.091 * [backup-simplify]: Simplify K into K 14.091 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.092 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.092 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.092 * [taylor]: Taking taylor expansion of J in J 14.092 * [backup-simplify]: Simplify 0 into 0 14.092 * [backup-simplify]: Simplify 1 into 1 14.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.092 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.092 * [backup-simplify]: Simplify (- 0) into 0 14.092 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.093 * [backup-simplify]: Simplify (+ 0) into 0 14.093 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.095 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.096 * [backup-simplify]: Simplify (- 0) into 0 14.096 * [backup-simplify]: Simplify (+ 0 0) into 0 14.096 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.097 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 14.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.097 * [taylor]: Taking taylor expansion of 1/2 in U 14.097 * [backup-simplify]: Simplify 1/2 into 1/2 14.097 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.097 * [taylor]: Taking taylor expansion of U in U 14.097 * [backup-simplify]: Simplify 0 into 0 14.097 * [backup-simplify]: Simplify 1 into 1 14.097 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.097 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.097 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.097 * [taylor]: Taking taylor expansion of 1/2 in U 14.097 * [backup-simplify]: Simplify 1/2 into 1/2 14.097 * [taylor]: Taking taylor expansion of K in U 14.097 * [backup-simplify]: Simplify K into K 14.097 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.097 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.097 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.097 * [taylor]: Taking taylor expansion of J in U 14.097 * [backup-simplify]: Simplify J into J 14.097 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.097 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.098 * [backup-simplify]: Simplify (- 0) into 0 14.098 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.098 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.098 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.098 * [taylor]: Taking taylor expansion of 1/2 in U 14.098 * [backup-simplify]: Simplify 1/2 into 1/2 14.098 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.098 * [taylor]: Taking taylor expansion of U in U 14.098 * [backup-simplify]: Simplify 0 into 0 14.098 * [backup-simplify]: Simplify 1 into 1 14.098 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.098 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.098 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.098 * [taylor]: Taking taylor expansion of 1/2 in U 14.098 * [backup-simplify]: Simplify 1/2 into 1/2 14.098 * [taylor]: Taking taylor expansion of K in U 14.098 * [backup-simplify]: Simplify K into K 14.098 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.098 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.099 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.099 * [taylor]: Taking taylor expansion of J in U 14.099 * [backup-simplify]: Simplify J into J 14.099 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.099 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.099 * [backup-simplify]: Simplify (- 0) into 0 14.099 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.099 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.099 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.100 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 14.100 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 14.100 * [taylor]: Taking taylor expansion of 1/2 in J 14.100 * [backup-simplify]: Simplify 1/2 into 1/2 14.100 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.100 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.100 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.100 * [taylor]: Taking taylor expansion of 1/2 in J 14.100 * [backup-simplify]: Simplify 1/2 into 1/2 14.100 * [taylor]: Taking taylor expansion of K in J 14.100 * [backup-simplify]: Simplify K into K 14.100 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.100 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.100 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.100 * [taylor]: Taking taylor expansion of J in J 14.100 * [backup-simplify]: Simplify 0 into 0 14.100 * [backup-simplify]: Simplify 1 into 1 14.100 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.100 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.106 * [backup-simplify]: Simplify (- 0) into 0 14.106 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.106 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.107 * [backup-simplify]: Simplify (+ 0) into 0 14.108 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.110 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.111 * [backup-simplify]: Simplify (- 0) into 0 14.111 * [backup-simplify]: Simplify (+ 0 0) into 0 14.112 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.112 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 14.112 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 14.112 * [taylor]: Taking taylor expansion of 1/2 in K 14.112 * [backup-simplify]: Simplify 1/2 into 1/2 14.112 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.112 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.112 * [taylor]: Taking taylor expansion of 1/2 in K 14.112 * [backup-simplify]: Simplify 1/2 into 1/2 14.112 * [taylor]: Taking taylor expansion of K in K 14.112 * [backup-simplify]: Simplify 0 into 0 14.112 * [backup-simplify]: Simplify 1 into 1 14.113 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.113 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.114 * [backup-simplify]: Simplify 1/2 into 1/2 14.114 * [backup-simplify]: Simplify (+ 0) into 0 14.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.117 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.117 * [backup-simplify]: Simplify (- 0) into 0 14.118 * [backup-simplify]: Simplify (+ 0 0) into 0 14.118 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 14.118 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 14.119 * [taylor]: Taking taylor expansion of 0 in J 14.119 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.122 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.123 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.123 * [backup-simplify]: Simplify (- 0) into 0 14.123 * [backup-simplify]: Simplify (+ 0 0) into 0 14.124 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.124 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.125 * [taylor]: Taking taylor expansion of 0 in K 14.125 * [backup-simplify]: Simplify 0 into 0 14.125 * [backup-simplify]: Simplify 0 into 0 14.125 * [backup-simplify]: Simplify (+ 0) into 0 14.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.126 * [backup-simplify]: Simplify 0 into 0 14.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.130 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.130 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.130 * [backup-simplify]: Simplify (- 0) into 0 14.130 * [backup-simplify]: Simplify (+ 0 0) into 0 14.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 14.131 * [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 14.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 14.132 * [taylor]: Taking taylor expansion of 0 in J 14.132 * [backup-simplify]: Simplify 0 into 0 14.132 * [taylor]: Taking taylor expansion of 0 in K 14.132 * [backup-simplify]: Simplify 0 into 0 14.132 * [backup-simplify]: Simplify 0 into 0 14.132 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.135 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.135 * [backup-simplify]: Simplify (- 0) into 0 14.136 * [backup-simplify]: Simplify (+ 0 0) into 0 14.136 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.136 * [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 14.136 * [taylor]: Taking taylor expansion of 0 in K 14.136 * [backup-simplify]: Simplify 0 into 0 14.136 * [backup-simplify]: Simplify 0 into 0 14.136 * [backup-simplify]: Simplify 0 into 0 14.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 14.138 * [backup-simplify]: Simplify 1/16 into 1/16 14.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.139 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.141 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.141 * [backup-simplify]: Simplify (- 0) into 0 14.141 * [backup-simplify]: Simplify (+ 0 0) into 0 14.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 14.142 * [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 14.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 14.143 * [taylor]: Taking taylor expansion of 0 in J 14.143 * [backup-simplify]: Simplify 0 into 0 14.143 * [taylor]: Taking taylor expansion of 0 in K 14.143 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify 0 into 0 14.143 * [taylor]: Taking taylor expansion of 0 in K 14.143 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify 0 into 0 14.145 * [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 14.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 14.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 14.148 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 14.148 * [backup-simplify]: Simplify (- 0) into 0 14.148 * [backup-simplify]: Simplify (+ 0 0) into 0 14.149 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.149 * [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 14.149 * [taylor]: Taking taylor expansion of 0 in K 14.149 * [backup-simplify]: Simplify 0 into 0 14.149 * [backup-simplify]: Simplify 0 into 0 14.149 * [backup-simplify]: Simplify 0 into 0 14.149 * [backup-simplify]: Simplify 0 into 0 14.149 * [backup-simplify]: Simplify 0 into 0 14.149 * [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))) 14.149 * [backup-simplify]: Simplify (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.149 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 14.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.150 * [taylor]: Taking taylor expansion of 1/2 in K 14.150 * [backup-simplify]: Simplify 1/2 into 1/2 14.150 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.150 * [taylor]: Taking taylor expansion of J in K 14.150 * [backup-simplify]: Simplify J into J 14.150 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.150 * [taylor]: Taking taylor expansion of U in K 14.150 * [backup-simplify]: Simplify U into U 14.150 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.150 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.150 * [taylor]: Taking taylor expansion of 1/2 in K 14.150 * [backup-simplify]: Simplify 1/2 into 1/2 14.150 * [taylor]: Taking taylor expansion of K in K 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.150 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.150 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 14.150 * [taylor]: Taking taylor expansion of 1/2 in J 14.150 * [backup-simplify]: Simplify 1/2 into 1/2 14.150 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 14.150 * [taylor]: Taking taylor expansion of J in J 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.150 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 14.150 * [taylor]: Taking taylor expansion of U in J 14.150 * [backup-simplify]: Simplify U into U 14.150 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.150 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.150 * [taylor]: Taking taylor expansion of 1/2 in J 14.150 * [backup-simplify]: Simplify 1/2 into 1/2 14.150 * [taylor]: Taking taylor expansion of K in J 14.150 * [backup-simplify]: Simplify K into K 14.150 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.151 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.151 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.151 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.151 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.151 * [backup-simplify]: Simplify (- 0) into 0 14.151 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.151 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.151 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 14.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.151 * [taylor]: Taking taylor expansion of 1/2 in U 14.151 * [backup-simplify]: Simplify 1/2 into 1/2 14.151 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.151 * [taylor]: Taking taylor expansion of J in U 14.151 * [backup-simplify]: Simplify J into J 14.151 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.151 * [taylor]: Taking taylor expansion of U in U 14.151 * [backup-simplify]: Simplify 0 into 0 14.151 * [backup-simplify]: Simplify 1 into 1 14.151 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.151 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.151 * [taylor]: Taking taylor expansion of 1/2 in U 14.151 * [backup-simplify]: Simplify 1/2 into 1/2 14.151 * [taylor]: Taking taylor expansion of K in U 14.151 * [backup-simplify]: Simplify K into K 14.151 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.151 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.152 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.152 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.152 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.152 * [backup-simplify]: Simplify (- 0) into 0 14.152 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.152 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.152 * [backup-simplify]: Simplify (+ 0) into 0 14.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.153 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.154 * [backup-simplify]: Simplify (- 0) into 0 14.154 * [backup-simplify]: Simplify (+ 0 0) into 0 14.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.154 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.154 * [taylor]: Taking taylor expansion of 1/2 in U 14.154 * [backup-simplify]: Simplify 1/2 into 1/2 14.154 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.154 * [taylor]: Taking taylor expansion of J in U 14.154 * [backup-simplify]: Simplify J into J 14.154 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.154 * [taylor]: Taking taylor expansion of U in U 14.154 * [backup-simplify]: Simplify 0 into 0 14.154 * [backup-simplify]: Simplify 1 into 1 14.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.154 * [taylor]: Taking taylor expansion of 1/2 in U 14.154 * [backup-simplify]: Simplify 1/2 into 1/2 14.155 * [taylor]: Taking taylor expansion of K in U 14.155 * [backup-simplify]: Simplify K into K 14.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.155 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.155 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.155 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.155 * [backup-simplify]: Simplify (- 0) into 0 14.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.155 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.155 * [backup-simplify]: Simplify (+ 0) into 0 14.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.157 * [backup-simplify]: Simplify (- 0) into 0 14.157 * [backup-simplify]: Simplify (+ 0 0) into 0 14.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.157 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.158 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 14.158 * [taylor]: Taking taylor expansion of 1/2 in J 14.158 * [backup-simplify]: Simplify 1/2 into 1/2 14.158 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 14.158 * [taylor]: Taking taylor expansion of J in J 14.158 * [backup-simplify]: Simplify 0 into 0 14.158 * [backup-simplify]: Simplify 1 into 1 14.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.158 * [taylor]: Taking taylor expansion of 1/2 in J 14.158 * [backup-simplify]: Simplify 1/2 into 1/2 14.158 * [taylor]: Taking taylor expansion of K in J 14.158 * [backup-simplify]: Simplify K into K 14.158 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.158 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.158 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.158 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.158 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.158 * [backup-simplify]: Simplify (- 0) into 0 14.158 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.158 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 14.158 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 14.158 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 14.158 * [taylor]: Taking taylor expansion of 1/2 in K 14.158 * [backup-simplify]: Simplify 1/2 into 1/2 14.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.159 * [taylor]: Taking taylor expansion of 1/2 in K 14.159 * [backup-simplify]: Simplify 1/2 into 1/2 14.159 * [taylor]: Taking taylor expansion of K in K 14.159 * [backup-simplify]: Simplify 0 into 0 14.159 * [backup-simplify]: Simplify 1 into 1 14.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.159 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 14.159 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 14.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.160 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.161 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.161 * [backup-simplify]: Simplify (- 0) into 0 14.161 * [backup-simplify]: Simplify (+ 0 0) into 0 14.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.162 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.163 * [taylor]: Taking taylor expansion of 0 in J 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [taylor]: Taking taylor expansion of 0 in K 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [backup-simplify]: Simplify (+ 0) into 0 14.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.164 * [backup-simplify]: Simplify (- 0) into 0 14.165 * [backup-simplify]: Simplify (+ 0 0) into 0 14.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 14.165 * [taylor]: Taking taylor expansion of 0 in K 14.165 * [backup-simplify]: Simplify 0 into 0 14.165 * [backup-simplify]: Simplify 0 into 0 14.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.165 * [backup-simplify]: Simplify 0 into 0 14.166 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.168 * [backup-simplify]: Simplify (- 0) into 0 14.168 * [backup-simplify]: Simplify (+ 0 0) into 0 14.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.169 * [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 14.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 14.170 * [taylor]: Taking taylor expansion of 0 in J 14.170 * [backup-simplify]: Simplify 0 into 0 14.170 * [taylor]: Taking taylor expansion of 0 in K 14.170 * [backup-simplify]: Simplify 0 into 0 14.170 * [backup-simplify]: Simplify 0 into 0 14.170 * [taylor]: Taking taylor expansion of 0 in K 14.170 * [backup-simplify]: Simplify 0 into 0 14.170 * [backup-simplify]: Simplify 0 into 0 14.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.172 * [backup-simplify]: Simplify (- 0) into 0 14.172 * [backup-simplify]: Simplify (+ 0 0) into 0 14.173 * [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 14.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 14.173 * [taylor]: Taking taylor expansion of 0 in K 14.173 * [backup-simplify]: Simplify 0 into 0 14.173 * [backup-simplify]: Simplify 0 into 0 14.173 * [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))) 14.174 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.174 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 14.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.174 * [taylor]: Taking taylor expansion of 1/2 in K 14.174 * [backup-simplify]: Simplify 1/2 into 1/2 14.174 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.174 * [taylor]: Taking taylor expansion of J in K 14.174 * [backup-simplify]: Simplify J into J 14.174 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.174 * [taylor]: Taking taylor expansion of -1/2 in K 14.174 * [backup-simplify]: Simplify -1/2 into -1/2 14.174 * [taylor]: Taking taylor expansion of K in K 14.174 * [backup-simplify]: Simplify 0 into 0 14.174 * [backup-simplify]: Simplify 1 into 1 14.174 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.175 * [taylor]: Taking taylor expansion of U in K 14.175 * [backup-simplify]: Simplify U into U 14.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.175 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 14.175 * [taylor]: Taking taylor expansion of 1/2 in J 14.175 * [backup-simplify]: Simplify 1/2 into 1/2 14.175 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 14.175 * [taylor]: Taking taylor expansion of J in J 14.175 * [backup-simplify]: Simplify 0 into 0 14.175 * [backup-simplify]: Simplify 1 into 1 14.175 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 14.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.175 * [taylor]: Taking taylor expansion of -1/2 in J 14.175 * [backup-simplify]: Simplify -1/2 into -1/2 14.175 * [taylor]: Taking taylor expansion of K in J 14.175 * [backup-simplify]: Simplify K into K 14.175 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.175 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.175 * [taylor]: Taking taylor expansion of U in J 14.175 * [backup-simplify]: Simplify U into U 14.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.175 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.176 * [backup-simplify]: Simplify (- 0) into 0 14.176 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.176 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 14.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.176 * [taylor]: Taking taylor expansion of 1/2 in U 14.176 * [backup-simplify]: Simplify 1/2 into 1/2 14.176 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.176 * [taylor]: Taking taylor expansion of J in U 14.176 * [backup-simplify]: Simplify J into J 14.176 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.176 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.176 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.176 * [taylor]: Taking taylor expansion of -1/2 in U 14.176 * [backup-simplify]: Simplify -1/2 into -1/2 14.176 * [taylor]: Taking taylor expansion of K in U 14.177 * [backup-simplify]: Simplify K into K 14.177 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.177 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.177 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.177 * [taylor]: Taking taylor expansion of U in U 14.177 * [backup-simplify]: Simplify 0 into 0 14.177 * [backup-simplify]: Simplify 1 into 1 14.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.177 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.177 * [backup-simplify]: Simplify (- 0) into 0 14.178 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.178 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.178 * [backup-simplify]: Simplify (+ 0) into 0 14.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.180 * [backup-simplify]: Simplify (- 0) into 0 14.181 * [backup-simplify]: Simplify (+ 0 0) into 0 14.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.181 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.181 * [taylor]: Taking taylor expansion of 1/2 in U 14.181 * [backup-simplify]: Simplify 1/2 into 1/2 14.181 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.181 * [taylor]: Taking taylor expansion of J in U 14.181 * [backup-simplify]: Simplify J into J 14.181 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.182 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.182 * [taylor]: Taking taylor expansion of -1/2 in U 14.182 * [backup-simplify]: Simplify -1/2 into -1/2 14.182 * [taylor]: Taking taylor expansion of K in U 14.182 * [backup-simplify]: Simplify K into K 14.182 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.182 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.182 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.182 * [taylor]: Taking taylor expansion of U in U 14.182 * [backup-simplify]: Simplify 0 into 0 14.182 * [backup-simplify]: Simplify 1 into 1 14.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.182 * [backup-simplify]: Simplify (- 0) into 0 14.183 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.183 * [backup-simplify]: Simplify (+ 0) into 0 14.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.185 * [backup-simplify]: Simplify (- 0) into 0 14.186 * [backup-simplify]: Simplify (+ 0 0) into 0 14.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.186 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.187 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 14.187 * [taylor]: Taking taylor expansion of 1/2 in J 14.187 * [backup-simplify]: Simplify 1/2 into 1/2 14.187 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 14.187 * [taylor]: Taking taylor expansion of J in J 14.187 * [backup-simplify]: Simplify 0 into 0 14.187 * [backup-simplify]: Simplify 1 into 1 14.187 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.187 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.187 * [taylor]: Taking taylor expansion of -1/2 in J 14.187 * [backup-simplify]: Simplify -1/2 into -1/2 14.187 * [taylor]: Taking taylor expansion of K in J 14.187 * [backup-simplify]: Simplify K into K 14.187 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.187 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.188 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.188 * [backup-simplify]: Simplify (- 0) into 0 14.188 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.188 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 14.188 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 14.188 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 14.188 * [taylor]: Taking taylor expansion of 1/2 in K 14.188 * [backup-simplify]: Simplify 1/2 into 1/2 14.188 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.188 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.188 * [taylor]: Taking taylor expansion of -1/2 in K 14.188 * [backup-simplify]: Simplify -1/2 into -1/2 14.188 * [taylor]: Taking taylor expansion of K in K 14.188 * [backup-simplify]: Simplify 0 into 0 14.188 * [backup-simplify]: Simplify 1 into 1 14.189 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.189 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.189 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 14.189 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 14.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.193 * [backup-simplify]: Simplify (- 0) into 0 14.193 * [backup-simplify]: Simplify (+ 0 0) into 0 14.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.194 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.195 * [taylor]: Taking taylor expansion of 0 in J 14.195 * [backup-simplify]: Simplify 0 into 0 14.195 * [taylor]: Taking taylor expansion of 0 in K 14.195 * [backup-simplify]: Simplify 0 into 0 14.195 * [backup-simplify]: Simplify 0 into 0 14.195 * [backup-simplify]: Simplify (+ 0) into 0 14.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.197 * [backup-simplify]: Simplify (- 0) into 0 14.198 * [backup-simplify]: Simplify (+ 0 0) into 0 14.198 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 14.199 * [taylor]: Taking taylor expansion of 0 in K 14.199 * [backup-simplify]: Simplify 0 into 0 14.199 * [backup-simplify]: Simplify 0 into 0 14.199 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.199 * [backup-simplify]: Simplify 0 into 0 14.200 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.204 * [backup-simplify]: Simplify (- 0) into 0 14.204 * [backup-simplify]: Simplify (+ 0 0) into 0 14.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.205 * [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 14.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 14.206 * [taylor]: Taking taylor expansion of 0 in J 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [taylor]: Taking taylor expansion of 0 in K 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [taylor]: Taking taylor expansion of 0 in K 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify 0 into 0 14.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.208 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.209 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.210 * [backup-simplify]: Simplify (- 0) into 0 14.210 * [backup-simplify]: Simplify (+ 0 0) into 0 14.211 * [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 14.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 14.212 * [taylor]: Taking taylor expansion of 0 in K 14.212 * [backup-simplify]: Simplify 0 into 0 14.212 * [backup-simplify]: Simplify 0 into 0 14.212 * [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))) 14.212 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 14.213 * [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))))) 14.213 * [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 14.213 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 14.213 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.213 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.213 * [taylor]: Taking taylor expansion of 1/2 in K 14.213 * [backup-simplify]: Simplify 1/2 into 1/2 14.213 * [taylor]: Taking taylor expansion of K in K 14.213 * [backup-simplify]: Simplify 0 into 0 14.213 * [backup-simplify]: Simplify 1 into 1 14.213 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.214 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.214 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 14.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.214 * [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 14.214 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.214 * [taylor]: Taking taylor expansion of 1 in K 14.214 * [backup-simplify]: Simplify 1 into 1 14.214 * [taylor]: Taking taylor expansion of 1 in K 14.214 * [backup-simplify]: Simplify 1 into 1 14.214 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 14.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.214 * [taylor]: Taking taylor expansion of 1/2 in K 14.214 * [backup-simplify]: Simplify 1/2 into 1/2 14.214 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.215 * [taylor]: Taking taylor expansion of U in K 14.215 * [backup-simplify]: Simplify U into U 14.215 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.215 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.215 * [taylor]: Taking taylor expansion of 1/2 in K 14.215 * [backup-simplify]: Simplify 1/2 into 1/2 14.215 * [taylor]: Taking taylor expansion of K in K 14.215 * [backup-simplify]: Simplify 0 into 0 14.215 * [backup-simplify]: Simplify 1 into 1 14.215 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.216 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.216 * [taylor]: Taking taylor expansion of J in K 14.216 * [backup-simplify]: Simplify J into J 14.216 * [backup-simplify]: Simplify (* 1 J) into J 14.216 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 14.216 * [taylor]: Taking taylor expansion of 1/2 in K 14.216 * [backup-simplify]: Simplify 1/2 into 1/2 14.216 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 14.216 * [taylor]: Taking taylor expansion of U in K 14.216 * [backup-simplify]: Simplify U into U 14.216 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 14.216 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.216 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.216 * [taylor]: Taking taylor expansion of 1/2 in K 14.216 * [backup-simplify]: Simplify 1/2 into 1/2 14.216 * [taylor]: Taking taylor expansion of K in K 14.216 * [backup-simplify]: Simplify 0 into 0 14.216 * [backup-simplify]: Simplify 1 into 1 14.217 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.218 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.218 * [taylor]: Taking taylor expansion of J in K 14.218 * [backup-simplify]: Simplify J into J 14.218 * [backup-simplify]: Simplify (* 1 J) into J 14.218 * [backup-simplify]: Simplify (/ U J) into (/ U J) 14.218 * [backup-simplify]: Simplify (* 1 1) into 1 14.218 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 14.218 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 14.218 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 14.219 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 14.219 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 14.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.220 * [backup-simplify]: Simplify (+ 0) into 0 14.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 14.221 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 14.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 14.222 * [backup-simplify]: Simplify (+ 0) into 0 14.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 14.222 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 14.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 14.223 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 14.223 * [backup-simplify]: Simplify (+ 0 0) into 0 14.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 14.224 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 14.224 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.224 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.224 * [taylor]: Taking taylor expansion of 1/2 in J 14.224 * [backup-simplify]: Simplify 1/2 into 1/2 14.224 * [taylor]: Taking taylor expansion of K in J 14.224 * [backup-simplify]: Simplify K into K 14.224 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.224 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.224 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.224 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 14.224 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.224 * [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 14.224 * [taylor]: Taking taylor expansion of (* 1 1) in J 14.224 * [taylor]: Taking taylor expansion of 1 in J 14.224 * [backup-simplify]: Simplify 1 into 1 14.224 * [taylor]: Taking taylor expansion of 1 in J 14.224 * [backup-simplify]: Simplify 1 into 1 14.224 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 14.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 14.224 * [taylor]: Taking taylor expansion of 1/2 in J 14.224 * [backup-simplify]: Simplify 1/2 into 1/2 14.224 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 14.224 * [taylor]: Taking taylor expansion of U in J 14.224 * [backup-simplify]: Simplify U into U 14.224 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.224 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.224 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.224 * [taylor]: Taking taylor expansion of 1/2 in J 14.224 * [backup-simplify]: Simplify 1/2 into 1/2 14.224 * [taylor]: Taking taylor expansion of K in J 14.224 * [backup-simplify]: Simplify K into K 14.225 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.225 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.225 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.225 * [taylor]: Taking taylor expansion of J in J 14.225 * [backup-simplify]: Simplify 0 into 0 14.225 * [backup-simplify]: Simplify 1 into 1 14.225 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.225 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.225 * [backup-simplify]: Simplify (- 0) into 0 14.225 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.225 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.226 * [backup-simplify]: Simplify (+ 0) into 0 14.231 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.234 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.234 * [backup-simplify]: Simplify (- 0) into 0 14.234 * [backup-simplify]: Simplify (+ 0 0) into 0 14.235 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.235 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 14.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 14.235 * [taylor]: Taking taylor expansion of 1/2 in J 14.235 * [backup-simplify]: Simplify 1/2 into 1/2 14.235 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 14.235 * [taylor]: Taking taylor expansion of U in J 14.235 * [backup-simplify]: Simplify U into U 14.235 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 14.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.235 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.235 * [taylor]: Taking taylor expansion of 1/2 in J 14.235 * [backup-simplify]: Simplify 1/2 into 1/2 14.235 * [taylor]: Taking taylor expansion of K in J 14.235 * [backup-simplify]: Simplify K into K 14.235 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.235 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.235 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.235 * [taylor]: Taking taylor expansion of J in J 14.235 * [backup-simplify]: Simplify 0 into 0 14.235 * [backup-simplify]: Simplify 1 into 1 14.236 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.236 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.236 * [backup-simplify]: Simplify (- 0) into 0 14.236 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.237 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 14.237 * [backup-simplify]: Simplify (+ 0) into 0 14.237 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.239 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.240 * [backup-simplify]: Simplify (- 0) into 0 14.240 * [backup-simplify]: Simplify (+ 0 0) into 0 14.240 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 14.240 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 14.241 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.241 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.241 * [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))) 14.241 * [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))) 14.241 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 14.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.243 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.245 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.246 * [backup-simplify]: Simplify (- 0) into 0 14.246 * [backup-simplify]: Simplify (+ 0 0) into 0 14.247 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.247 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 14.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.251 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.252 * [backup-simplify]: Simplify (- 0) into 0 14.252 * [backup-simplify]: Simplify (+ 0 0) into 0 14.253 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.253 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 14.254 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 14.254 * [backup-simplify]: Simplify (+ 0 0) into 0 14.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 14.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 14.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.255 * [taylor]: Taking taylor expansion of 1/2 in U 14.255 * [backup-simplify]: Simplify 1/2 into 1/2 14.255 * [taylor]: Taking taylor expansion of K in U 14.255 * [backup-simplify]: Simplify K into K 14.255 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.255 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.255 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.255 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 14.255 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.255 * [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 14.255 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.255 * [taylor]: Taking taylor expansion of 1 in U 14.255 * [backup-simplify]: Simplify 1 into 1 14.255 * [taylor]: Taking taylor expansion of 1 in U 14.255 * [backup-simplify]: Simplify 1 into 1 14.255 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 14.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.255 * [taylor]: Taking taylor expansion of 1/2 in U 14.255 * [backup-simplify]: Simplify 1/2 into 1/2 14.255 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.255 * [taylor]: Taking taylor expansion of U in U 14.255 * [backup-simplify]: Simplify 0 into 0 14.255 * [backup-simplify]: Simplify 1 into 1 14.255 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.255 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.255 * [taylor]: Taking taylor expansion of 1/2 in U 14.255 * [backup-simplify]: Simplify 1/2 into 1/2 14.255 * [taylor]: Taking taylor expansion of K in U 14.255 * [backup-simplify]: Simplify K into K 14.255 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.256 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.256 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.256 * [taylor]: Taking taylor expansion of J in U 14.256 * [backup-simplify]: Simplify J into J 14.256 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.256 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.256 * [backup-simplify]: Simplify (- 0) into 0 14.256 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.256 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.257 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.257 * [taylor]: Taking taylor expansion of 1/2 in U 14.257 * [backup-simplify]: Simplify 1/2 into 1/2 14.257 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.257 * [taylor]: Taking taylor expansion of U in U 14.257 * [backup-simplify]: Simplify 0 into 0 14.257 * [backup-simplify]: Simplify 1 into 1 14.257 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.257 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.257 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.257 * [taylor]: Taking taylor expansion of 1/2 in U 14.257 * [backup-simplify]: Simplify 1/2 into 1/2 14.257 * [taylor]: Taking taylor expansion of K in U 14.257 * [backup-simplify]: Simplify K into K 14.257 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.257 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.257 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.257 * [taylor]: Taking taylor expansion of J in U 14.257 * [backup-simplify]: Simplify J into J 14.257 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.257 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.258 * [backup-simplify]: Simplify (- 0) into 0 14.258 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.258 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.258 * [backup-simplify]: Simplify (* 1 1) into 1 14.259 * [backup-simplify]: Simplify (+ 1 0) into 1 14.259 * [backup-simplify]: Simplify (sqrt 1) into 1 14.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.260 * [backup-simplify]: Simplify (+ 0 0) into 0 14.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.261 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 14.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.261 * [taylor]: Taking taylor expansion of 1/2 in U 14.261 * [backup-simplify]: Simplify 1/2 into 1/2 14.261 * [taylor]: Taking taylor expansion of K in U 14.261 * [backup-simplify]: Simplify K into K 14.261 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.261 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.261 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.261 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 14.261 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 14.261 * [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 14.261 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.261 * [taylor]: Taking taylor expansion of 1 in U 14.261 * [backup-simplify]: Simplify 1 into 1 14.261 * [taylor]: Taking taylor expansion of 1 in U 14.261 * [backup-simplify]: Simplify 1 into 1 14.261 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 14.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.262 * [taylor]: Taking taylor expansion of 1/2 in U 14.262 * [backup-simplify]: Simplify 1/2 into 1/2 14.262 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.262 * [taylor]: Taking taylor expansion of U in U 14.262 * [backup-simplify]: Simplify 0 into 0 14.262 * [backup-simplify]: Simplify 1 into 1 14.262 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.262 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.262 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.262 * [taylor]: Taking taylor expansion of 1/2 in U 14.262 * [backup-simplify]: Simplify 1/2 into 1/2 14.262 * [taylor]: Taking taylor expansion of K in U 14.262 * [backup-simplify]: Simplify K into K 14.262 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.262 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.262 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.262 * [taylor]: Taking taylor expansion of J in U 14.262 * [backup-simplify]: Simplify J into J 14.262 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.262 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.263 * [backup-simplify]: Simplify (- 0) into 0 14.263 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.263 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.263 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 14.263 * [taylor]: Taking taylor expansion of 1/2 in U 14.263 * [backup-simplify]: Simplify 1/2 into 1/2 14.263 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 14.263 * [taylor]: Taking taylor expansion of U in U 14.263 * [backup-simplify]: Simplify 0 into 0 14.263 * [backup-simplify]: Simplify 1 into 1 14.263 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 14.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 14.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 14.263 * [taylor]: Taking taylor expansion of 1/2 in U 14.263 * [backup-simplify]: Simplify 1/2 into 1/2 14.263 * [taylor]: Taking taylor expansion of K in U 14.263 * [backup-simplify]: Simplify K into K 14.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.263 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.263 * [taylor]: Taking taylor expansion of J in U 14.263 * [backup-simplify]: Simplify J into J 14.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.264 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.264 * [backup-simplify]: Simplify (- 0) into 0 14.264 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 14.264 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 14.265 * [backup-simplify]: Simplify (* 1 1) into 1 14.265 * [backup-simplify]: Simplify (+ 1 0) into 1 14.266 * [backup-simplify]: Simplify (sqrt 1) into 1 14.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.267 * [backup-simplify]: Simplify (+ 0 0) into 0 14.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.268 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.268 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.268 * [backup-simplify]: Simplify (- 0) into 0 14.268 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.269 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.269 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.269 * [taylor]: Taking taylor expansion of 1/2 in J 14.269 * [backup-simplify]: Simplify 1/2 into 1/2 14.269 * [taylor]: Taking taylor expansion of K in J 14.269 * [backup-simplify]: Simplify K into K 14.269 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.269 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.269 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.269 * [backup-simplify]: Simplify (+ 0) into 0 14.270 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.272 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.272 * [backup-simplify]: Simplify (- 0) into 0 14.273 * [backup-simplify]: Simplify (+ 0 0) into 0 14.273 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.273 * [taylor]: Taking taylor expansion of 0 in J 14.273 * [backup-simplify]: Simplify 0 into 0 14.273 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.273 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.274 * [backup-simplify]: Simplify (- 0) into 0 14.274 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.274 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.274 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.274 * [taylor]: Taking taylor expansion of 1/2 in K 14.274 * [backup-simplify]: Simplify 1/2 into 1/2 14.274 * [taylor]: Taking taylor expansion of K in K 14.274 * [backup-simplify]: Simplify 0 into 0 14.274 * [backup-simplify]: Simplify 1 into 1 14.274 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.275 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.275 * [backup-simplify]: Simplify 1 into 1 14.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.275 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 14.275 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 14.276 * [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))) 14.276 * [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)))) 14.277 * [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))) 14.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.278 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.279 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.279 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.280 * [backup-simplify]: Simplify (- 0) into 0 14.280 * [backup-simplify]: Simplify (+ 0 0) into 0 14.281 * [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)))) 14.281 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 14.281 * [taylor]: Taking taylor expansion of 1/8 in J 14.281 * [backup-simplify]: Simplify 1/8 into 1/8 14.281 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 14.281 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 14.281 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 14.281 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 14.281 * [taylor]: Taking taylor expansion of 1/2 in J 14.281 * [backup-simplify]: Simplify 1/2 into 1/2 14.281 * [taylor]: Taking taylor expansion of K in J 14.281 * [backup-simplify]: Simplify K into K 14.281 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 14.281 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 14.281 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 14.281 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.281 * [taylor]: Taking taylor expansion of J in J 14.281 * [backup-simplify]: Simplify 0 into 0 14.281 * [backup-simplify]: Simplify 1 into 1 14.281 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.281 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 14.281 * [backup-simplify]: Simplify (- 0) into 0 14.281 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 14.282 * [backup-simplify]: Simplify (* 1 1) into 1 14.282 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 14.282 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 14.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.283 * [backup-simplify]: Simplify (+ 0) into 0 14.283 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.284 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.284 * [backup-simplify]: Simplify (- 0) into 0 14.285 * [backup-simplify]: Simplify (+ 0 0) into 0 14.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 14.285 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 14.285 * [taylor]: Taking taylor expansion of 0 in K 14.286 * [backup-simplify]: Simplify 0 into 0 14.286 * [backup-simplify]: Simplify 0 into 0 14.286 * [taylor]: Taking taylor expansion of 0 in K 14.286 * [backup-simplify]: Simplify 0 into 0 14.286 * [backup-simplify]: Simplify 0 into 0 14.286 * [backup-simplify]: Simplify (+ 0) into 0 14.287 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.288 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.288 * [backup-simplify]: Simplify (- 0) into 0 14.289 * [backup-simplify]: Simplify (+ 0 0) into 0 14.289 * [taylor]: Taking taylor expansion of 0 in K 14.289 * [backup-simplify]: Simplify 0 into 0 14.289 * [backup-simplify]: Simplify 0 into 0 14.289 * [backup-simplify]: Simplify (+ 0) into 0 14.289 * [backup-simplify]: Simplify 0 into 0 14.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.290 * [backup-simplify]: Simplify (+ 0) into 0 14.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.291 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.292 * [backup-simplify]: Simplify (- 0) into 0 14.292 * [backup-simplify]: Simplify (+ 0 0) into 0 14.292 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 14.292 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 14.293 * [backup-simplify]: Simplify (+ 0) into 0 14.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 14.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 14.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.294 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 14.295 * [backup-simplify]: Simplify (- 0) into 0 14.295 * [backup-simplify]: Simplify (+ 0 0) into 0 14.295 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 14.295 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 14.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 14.296 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 14.296 * [backup-simplify]: Simplify (+ 0 0) into 0 14.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 14.297 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 14.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.300 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.300 * [backup-simplify]: Simplify (- 0) into 0 14.301 * [backup-simplify]: Simplify (+ 0 0) into 0 14.301 * [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 14.301 * [taylor]: Taking taylor expansion of 0 in J 14.301 * [backup-simplify]: Simplify 0 into 0 14.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.303 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 14.304 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.304 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.305 * [backup-simplify]: Simplify (- 0) into 0 14.305 * [backup-simplify]: Simplify (+ 0 0) into 0 14.305 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 14.306 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 14.306 * [taylor]: Taking taylor expansion of 0 in K 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [taylor]: Taking taylor expansion of 0 in K 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 1 into 1 14.307 * [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))) 14.307 * [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 14.307 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 14.307 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 14.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.307 * [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 14.307 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.307 * [taylor]: Taking taylor expansion of 1 in K 14.307 * [backup-simplify]: Simplify 1 into 1 14.307 * [taylor]: Taking taylor expansion of 1 in K 14.307 * [backup-simplify]: Simplify 1 into 1 14.307 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 14.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.307 * [taylor]: Taking taylor expansion of 1/2 in K 14.307 * [backup-simplify]: Simplify 1/2 into 1/2 14.307 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.307 * [taylor]: Taking taylor expansion of J in K 14.307 * [backup-simplify]: Simplify J into J 14.307 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.307 * [taylor]: Taking taylor expansion of U in K 14.307 * [backup-simplify]: Simplify U into U 14.307 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.307 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.307 * [taylor]: Taking taylor expansion of 1/2 in K 14.307 * [backup-simplify]: Simplify 1/2 into 1/2 14.307 * [taylor]: Taking taylor expansion of K in K 14.307 * [backup-simplify]: Simplify 0 into 0 14.307 * [backup-simplify]: Simplify 1 into 1 14.307 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.307 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.307 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.308 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 14.308 * [taylor]: Taking taylor expansion of 1/2 in K 14.308 * [backup-simplify]: Simplify 1/2 into 1/2 14.308 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 14.308 * [taylor]: Taking taylor expansion of J in K 14.308 * [backup-simplify]: Simplify J into J 14.308 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 14.308 * [taylor]: Taking taylor expansion of U in K 14.308 * [backup-simplify]: Simplify U into U 14.308 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.308 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.308 * [taylor]: Taking taylor expansion of 1/2 in K 14.308 * [backup-simplify]: Simplify 1/2 into 1/2 14.308 * [taylor]: Taking taylor expansion of K in K 14.308 * [backup-simplify]: Simplify 0 into 0 14.308 * [backup-simplify]: Simplify 1 into 1 14.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.308 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.308 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.308 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 14.308 * [backup-simplify]: Simplify (* 1 1) into 1 14.309 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.309 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 14.309 * [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)))) 14.309 * [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) 14.309 * [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)) 14.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.310 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 14.310 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 14.310 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 14.311 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 14.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 14.311 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 14.311 * [backup-simplify]: Simplify (+ 0 0) into 0 14.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 14.312 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.312 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.312 * [taylor]: Taking taylor expansion of 1/2 in K 14.312 * [backup-simplify]: Simplify 1/2 into 1/2 14.312 * [taylor]: Taking taylor expansion of K in K 14.312 * [backup-simplify]: Simplify 0 into 0 14.312 * [backup-simplify]: Simplify 1 into 1 14.312 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.312 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.312 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 14.312 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 14.312 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.312 * [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 14.312 * [taylor]: Taking taylor expansion of (* 1 1) in J 14.312 * [taylor]: Taking taylor expansion of 1 in J 14.312 * [backup-simplify]: Simplify 1 into 1 14.312 * [taylor]: Taking taylor expansion of 1 in J 14.312 * [backup-simplify]: Simplify 1 into 1 14.312 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 14.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 14.312 * [taylor]: Taking taylor expansion of 1/2 in J 14.312 * [backup-simplify]: Simplify 1/2 into 1/2 14.312 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 14.312 * [taylor]: Taking taylor expansion of J in J 14.312 * [backup-simplify]: Simplify 0 into 0 14.312 * [backup-simplify]: Simplify 1 into 1 14.312 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 14.312 * [taylor]: Taking taylor expansion of U in J 14.312 * [backup-simplify]: Simplify U into U 14.312 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.313 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.313 * [taylor]: Taking taylor expansion of 1/2 in J 14.313 * [backup-simplify]: Simplify 1/2 into 1/2 14.313 * [taylor]: Taking taylor expansion of K in J 14.313 * [backup-simplify]: Simplify K into K 14.313 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.313 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.313 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.313 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.313 * [backup-simplify]: Simplify (- 0) into 0 14.313 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.313 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.313 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 14.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 14.313 * [taylor]: Taking taylor expansion of 1/2 in J 14.313 * [backup-simplify]: Simplify 1/2 into 1/2 14.313 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 14.313 * [taylor]: Taking taylor expansion of J in J 14.313 * [backup-simplify]: Simplify 0 into 0 14.313 * [backup-simplify]: Simplify 1 into 1 14.313 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 14.313 * [taylor]: Taking taylor expansion of U in J 14.313 * [backup-simplify]: Simplify U into U 14.313 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.313 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.313 * [taylor]: Taking taylor expansion of 1/2 in J 14.313 * [backup-simplify]: Simplify 1/2 into 1/2 14.313 * [taylor]: Taking taylor expansion of K in J 14.314 * [backup-simplify]: Simplify K into K 14.314 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.314 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.314 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.314 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.314 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.314 * [backup-simplify]: Simplify (- 0) into 0 14.314 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.314 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 14.314 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 14.314 * [backup-simplify]: Simplify (* 1 1) into 1 14.315 * [backup-simplify]: Simplify (+ 1 0) into 1 14.315 * [backup-simplify]: Simplify (sqrt 1) into 1 14.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.316 * [backup-simplify]: Simplify (+ 0 0) into 0 14.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.316 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.316 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.316 * [taylor]: Taking taylor expansion of 1/2 in J 14.316 * [backup-simplify]: Simplify 1/2 into 1/2 14.316 * [taylor]: Taking taylor expansion of K in J 14.316 * [backup-simplify]: Simplify K into K 14.316 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.316 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.316 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.316 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 14.316 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 14.316 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.316 * [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 14.316 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.316 * [taylor]: Taking taylor expansion of 1 in U 14.316 * [backup-simplify]: Simplify 1 into 1 14.316 * [taylor]: Taking taylor expansion of 1 in U 14.316 * [backup-simplify]: Simplify 1 into 1 14.316 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 14.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.317 * [taylor]: Taking taylor expansion of 1/2 in U 14.317 * [backup-simplify]: Simplify 1/2 into 1/2 14.317 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.317 * [taylor]: Taking taylor expansion of J in U 14.317 * [backup-simplify]: Simplify J into J 14.317 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.317 * [taylor]: Taking taylor expansion of U in U 14.317 * [backup-simplify]: Simplify 0 into 0 14.317 * [backup-simplify]: Simplify 1 into 1 14.317 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.317 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.317 * [taylor]: Taking taylor expansion of 1/2 in U 14.317 * [backup-simplify]: Simplify 1/2 into 1/2 14.317 * [taylor]: Taking taylor expansion of K in U 14.317 * [backup-simplify]: Simplify K into K 14.317 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.317 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.317 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.317 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.317 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.317 * [backup-simplify]: Simplify (- 0) into 0 14.317 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.317 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.318 * [backup-simplify]: Simplify (+ 0) into 0 14.318 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.318 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.319 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.319 * [backup-simplify]: Simplify (- 0) into 0 14.319 * [backup-simplify]: Simplify (+ 0 0) into 0 14.320 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.320 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.320 * [taylor]: Taking taylor expansion of 1/2 in U 14.320 * [backup-simplify]: Simplify 1/2 into 1/2 14.320 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.320 * [taylor]: Taking taylor expansion of J in U 14.320 * [backup-simplify]: Simplify J into J 14.320 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.320 * [taylor]: Taking taylor expansion of U in U 14.320 * [backup-simplify]: Simplify 0 into 0 14.320 * [backup-simplify]: Simplify 1 into 1 14.320 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.320 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.320 * [taylor]: Taking taylor expansion of 1/2 in U 14.320 * [backup-simplify]: Simplify 1/2 into 1/2 14.320 * [taylor]: Taking taylor expansion of K in U 14.320 * [backup-simplify]: Simplify K into K 14.320 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.320 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.320 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.320 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.320 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.320 * [backup-simplify]: Simplify (- 0) into 0 14.320 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.320 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.321 * [backup-simplify]: Simplify (+ 0) into 0 14.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.323 * [backup-simplify]: Simplify (- 0) into 0 14.323 * [backup-simplify]: Simplify (+ 0 0) into 0 14.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.324 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.324 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.324 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.324 * [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))) 14.324 * [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))) 14.325 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.327 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.328 * [backup-simplify]: Simplify (- 0) into 0 14.329 * [backup-simplify]: Simplify (+ 0 0) into 0 14.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.330 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.331 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.332 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.332 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.333 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.334 * [backup-simplify]: Simplify (- 0) into 0 14.334 * [backup-simplify]: Simplify (+ 0 0) into 0 14.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.335 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.336 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 14.337 * [backup-simplify]: Simplify (+ 0 0) into 0 14.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 14.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.337 * [taylor]: Taking taylor expansion of 1/2 in U 14.337 * [backup-simplify]: Simplify 1/2 into 1/2 14.337 * [taylor]: Taking taylor expansion of K in U 14.337 * [backup-simplify]: Simplify K into K 14.337 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.337 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.337 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.337 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 14.337 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 14.337 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 14.338 * [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 14.338 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.338 * [taylor]: Taking taylor expansion of 1 in U 14.338 * [backup-simplify]: Simplify 1 into 1 14.338 * [taylor]: Taking taylor expansion of 1 in U 14.338 * [backup-simplify]: Simplify 1 into 1 14.338 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 14.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.338 * [taylor]: Taking taylor expansion of 1/2 in U 14.338 * [backup-simplify]: Simplify 1/2 into 1/2 14.338 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.338 * [taylor]: Taking taylor expansion of J in U 14.338 * [backup-simplify]: Simplify J into J 14.338 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.338 * [taylor]: Taking taylor expansion of U in U 14.338 * [backup-simplify]: Simplify 0 into 0 14.338 * [backup-simplify]: Simplify 1 into 1 14.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.338 * [taylor]: Taking taylor expansion of 1/2 in U 14.338 * [backup-simplify]: Simplify 1/2 into 1/2 14.338 * [taylor]: Taking taylor expansion of K in U 14.338 * [backup-simplify]: Simplify K into K 14.338 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.338 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.338 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.338 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.338 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.339 * [backup-simplify]: Simplify (- 0) into 0 14.339 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.339 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.339 * [backup-simplify]: Simplify (+ 0) into 0 14.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.342 * [backup-simplify]: Simplify (- 0) into 0 14.342 * [backup-simplify]: Simplify (+ 0 0) into 0 14.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.343 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 14.343 * [taylor]: Taking taylor expansion of 1/2 in U 14.343 * [backup-simplify]: Simplify 1/2 into 1/2 14.343 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 14.343 * [taylor]: Taking taylor expansion of J in U 14.343 * [backup-simplify]: Simplify J into J 14.343 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 14.343 * [taylor]: Taking taylor expansion of U in U 14.343 * [backup-simplify]: Simplify 0 into 0 14.343 * [backup-simplify]: Simplify 1 into 1 14.343 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.343 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.343 * [taylor]: Taking taylor expansion of 1/2 in U 14.343 * [backup-simplify]: Simplify 1/2 into 1/2 14.343 * [taylor]: Taking taylor expansion of K in U 14.343 * [backup-simplify]: Simplify K into K 14.343 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.343 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.343 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.344 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.344 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.344 * [backup-simplify]: Simplify (- 0) into 0 14.344 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.344 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 14.345 * [backup-simplify]: Simplify (+ 0) into 0 14.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.347 * [backup-simplify]: Simplify (- 0) into 0 14.348 * [backup-simplify]: Simplify (+ 0 0) into 0 14.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 14.348 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 14.348 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.348 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.349 * [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))) 14.349 * [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))) 14.349 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 14.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.351 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.353 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.353 * [backup-simplify]: Simplify (- 0) into 0 14.353 * [backup-simplify]: Simplify (+ 0 0) into 0 14.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.354 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.363 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.364 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.364 * [backup-simplify]: Simplify (- 0) into 0 14.364 * [backup-simplify]: Simplify (+ 0 0) into 0 14.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 14.366 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 14.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 14.366 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 14.367 * [backup-simplify]: Simplify (+ 0 0) into 0 14.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 14.367 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 14.368 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 14.368 * [taylor]: Taking taylor expansion of 1/2 in U 14.368 * [backup-simplify]: Simplify 1/2 into 1/2 14.368 * [taylor]: Taking taylor expansion of K in U 14.368 * [backup-simplify]: Simplify K into K 14.368 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.368 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.368 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.368 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.368 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.369 * [backup-simplify]: Simplify (- 0) into 0 14.369 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.369 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 14.369 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 14.369 * [taylor]: Taking taylor expansion of 1/2 in J 14.369 * [backup-simplify]: Simplify 1/2 into 1/2 14.369 * [taylor]: Taking taylor expansion of J in J 14.369 * [backup-simplify]: Simplify 0 into 0 14.369 * [backup-simplify]: Simplify 1 into 1 14.369 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.369 * [taylor]: Taking taylor expansion of 0 in K 14.370 * [backup-simplify]: Simplify 0 into 0 14.370 * [backup-simplify]: Simplify 0 into 0 14.370 * [backup-simplify]: Simplify (+ 0) into 0 14.371 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.372 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.372 * [backup-simplify]: Simplify (- 0) into 0 14.373 * [backup-simplify]: Simplify (+ 0 0) into 0 14.373 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 14.373 * [taylor]: Taking taylor expansion of 0 in J 14.373 * [backup-simplify]: Simplify 0 into 0 14.373 * [taylor]: Taking taylor expansion of 0 in K 14.373 * [backup-simplify]: Simplify 0 into 0 14.373 * [backup-simplify]: Simplify 0 into 0 14.374 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.374 * [taylor]: Taking taylor expansion of 1/2 in K 14.374 * [backup-simplify]: Simplify 1/2 into 1/2 14.374 * [backup-simplify]: Simplify 1/2 into 1/2 14.374 * [backup-simplify]: Simplify 0 into 0 14.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.377 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.377 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.378 * [backup-simplify]: Simplify (- 0) into 0 14.378 * [backup-simplify]: Simplify (+ 0 0) into 0 14.378 * [backup-simplify]: Simplify (* 1 1) into 1 14.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.383 * [backup-simplify]: Simplify (- 0) into 0 14.383 * [backup-simplify]: Simplify (+ 0 0) into 0 14.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.384 * [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 14.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 14.385 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.385 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.387 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.387 * [backup-simplify]: Simplify (- 0) into 0 14.387 * [backup-simplify]: Simplify (+ 0 0) into 0 14.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 14.388 * [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 14.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 14.389 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 14.390 * [backup-simplify]: Simplify (+ 1 0) into 1 14.390 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 14.391 * [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) 14.391 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 14.391 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 14.391 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 14.391 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 14.391 * [taylor]: Taking taylor expansion of 1/2 in J 14.391 * [backup-simplify]: Simplify 1/2 into 1/2 14.391 * [taylor]: Taking taylor expansion of K in J 14.391 * [backup-simplify]: Simplify K into K 14.391 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 14.391 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.391 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 14.391 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 14.391 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 14.391 * [backup-simplify]: Simplify (- 0) into 0 14.391 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 14.391 * [taylor]: Taking taylor expansion of J in J 14.391 * [backup-simplify]: Simplify 0 into 0 14.391 * [backup-simplify]: Simplify 1 into 1 14.391 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 14.392 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 14.392 * [backup-simplify]: Simplify (+ 0) into 0 14.392 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 14.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 14.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.393 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 14.393 * [backup-simplify]: Simplify (- 0) into 0 14.393 * [backup-simplify]: Simplify (+ 0 0) into 0 14.394 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 14.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 14.394 * [taylor]: Taking taylor expansion of 0 in K 14.394 * [backup-simplify]: Simplify 0 into 0 14.394 * [backup-simplify]: Simplify 0 into 0 14.394 * [taylor]: Taking taylor expansion of 0 in K 14.394 * [backup-simplify]: Simplify 0 into 0 14.394 * [backup-simplify]: Simplify 0 into 0 14.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.395 * [taylor]: Taking taylor expansion of 0 in K 14.395 * [backup-simplify]: Simplify 0 into 0 14.395 * [backup-simplify]: Simplify 0 into 0 14.395 * [backup-simplify]: Simplify 0 into 0 14.395 * [backup-simplify]: Simplify 0 into 0 14.395 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U J)) 14.395 * [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))))) 14.395 * [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 14.395 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 14.395 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.395 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.395 * [taylor]: Taking taylor expansion of -1/2 in K 14.395 * [backup-simplify]: Simplify -1/2 into -1/2 14.395 * [taylor]: Taking taylor expansion of K in K 14.396 * [backup-simplify]: Simplify 0 into 0 14.396 * [backup-simplify]: Simplify 1 into 1 14.396 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.396 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.396 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 14.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.396 * [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 14.396 * [taylor]: Taking taylor expansion of (* 1 1) in K 14.396 * [taylor]: Taking taylor expansion of 1 in K 14.396 * [backup-simplify]: Simplify 1 into 1 14.396 * [taylor]: Taking taylor expansion of 1 in K 14.396 * [backup-simplify]: Simplify 1 into 1 14.396 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 14.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.396 * [taylor]: Taking taylor expansion of 1/2 in K 14.396 * [backup-simplify]: Simplify 1/2 into 1/2 14.396 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.396 * [taylor]: Taking taylor expansion of J in K 14.396 * [backup-simplify]: Simplify J into J 14.396 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.396 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.396 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.396 * [taylor]: Taking taylor expansion of -1/2 in K 14.396 * [backup-simplify]: Simplify -1/2 into -1/2 14.396 * [taylor]: Taking taylor expansion of K in K 14.396 * [backup-simplify]: Simplify 0 into 0 14.396 * [backup-simplify]: Simplify 1 into 1 14.397 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.397 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.397 * [taylor]: Taking taylor expansion of U in K 14.397 * [backup-simplify]: Simplify U into U 14.397 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.397 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 14.397 * [taylor]: Taking taylor expansion of 1/2 in K 14.397 * [backup-simplify]: Simplify 1/2 into 1/2 14.397 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 14.397 * [taylor]: Taking taylor expansion of J in K 14.397 * [backup-simplify]: Simplify J into J 14.397 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 14.397 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.397 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.397 * [taylor]: Taking taylor expansion of -1/2 in K 14.397 * [backup-simplify]: Simplify -1/2 into -1/2 14.397 * [taylor]: Taking taylor expansion of K in K 14.397 * [backup-simplify]: Simplify 0 into 0 14.397 * [backup-simplify]: Simplify 1 into 1 14.397 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.397 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.397 * [taylor]: Taking taylor expansion of U in K 14.397 * [backup-simplify]: Simplify U into U 14.398 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.398 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 14.398 * [backup-simplify]: Simplify (* 1 1) into 1 14.398 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.398 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 14.398 * [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)))) 14.399 * [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))))) 14.399 * [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)))))) 14.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.399 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 14.399 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 14.400 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 14.400 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 14.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 14.401 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 14.401 * [backup-simplify]: Simplify (+ 0 0) into 0 14.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 14.401 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 14.401 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.401 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.401 * [taylor]: Taking taylor expansion of -1/2 in J 14.401 * [backup-simplify]: Simplify -1/2 into -1/2 14.401 * [taylor]: Taking taylor expansion of K in J 14.401 * [backup-simplify]: Simplify K into K 14.401 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.401 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.401 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.401 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 14.402 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.402 * [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 14.402 * [taylor]: Taking taylor expansion of (* 1 1) in J 14.402 * [taylor]: Taking taylor expansion of 1 in J 14.402 * [backup-simplify]: Simplify 1 into 1 14.402 * [taylor]: Taking taylor expansion of 1 in J 14.402 * [backup-simplify]: Simplify 1 into 1 14.402 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 14.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 14.402 * [taylor]: Taking taylor expansion of 1/2 in J 14.402 * [backup-simplify]: Simplify 1/2 into 1/2 14.402 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 14.402 * [taylor]: Taking taylor expansion of J in J 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify 1 into 1 14.402 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 14.402 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.402 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.402 * [taylor]: Taking taylor expansion of -1/2 in J 14.402 * [backup-simplify]: Simplify -1/2 into -1/2 14.402 * [taylor]: Taking taylor expansion of K in J 14.402 * [backup-simplify]: Simplify K into K 14.402 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.402 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.402 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.402 * [taylor]: Taking taylor expansion of U in J 14.402 * [backup-simplify]: Simplify U into U 14.402 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.402 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.402 * [backup-simplify]: Simplify (- 0) into 0 14.402 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.402 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.403 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 14.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 14.403 * [taylor]: Taking taylor expansion of 1/2 in J 14.403 * [backup-simplify]: Simplify 1/2 into 1/2 14.403 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 14.403 * [taylor]: Taking taylor expansion of J in J 14.403 * [backup-simplify]: Simplify 0 into 0 14.403 * [backup-simplify]: Simplify 1 into 1 14.403 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 14.403 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.403 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.403 * [taylor]: Taking taylor expansion of -1/2 in J 14.403 * [backup-simplify]: Simplify -1/2 into -1/2 14.403 * [taylor]: Taking taylor expansion of K in J 14.403 * [backup-simplify]: Simplify K into K 14.403 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.403 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.403 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.403 * [taylor]: Taking taylor expansion of U in J 14.403 * [backup-simplify]: Simplify U into U 14.403 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.403 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.403 * [backup-simplify]: Simplify (- 0) into 0 14.403 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.403 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 14.403 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 14.404 * [backup-simplify]: Simplify (* 1 1) into 1 14.404 * [backup-simplify]: Simplify (+ 1 0) into 1 14.404 * [backup-simplify]: Simplify (sqrt 1) into 1 14.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.405 * [backup-simplify]: Simplify (+ 0 0) into 0 14.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.405 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 14.405 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.405 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.405 * [taylor]: Taking taylor expansion of -1/2 in U 14.405 * [backup-simplify]: Simplify -1/2 into -1/2 14.405 * [taylor]: Taking taylor expansion of K in U 14.405 * [backup-simplify]: Simplify K into K 14.406 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.406 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.406 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 14.406 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.406 * [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 14.406 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.406 * [taylor]: Taking taylor expansion of 1 in U 14.406 * [backup-simplify]: Simplify 1 into 1 14.406 * [taylor]: Taking taylor expansion of 1 in U 14.406 * [backup-simplify]: Simplify 1 into 1 14.406 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 14.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.406 * [taylor]: Taking taylor expansion of 1/2 in U 14.406 * [backup-simplify]: Simplify 1/2 into 1/2 14.406 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.406 * [taylor]: Taking taylor expansion of J in U 14.406 * [backup-simplify]: Simplify J into J 14.406 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.406 * [taylor]: Taking taylor expansion of -1/2 in U 14.406 * [backup-simplify]: Simplify -1/2 into -1/2 14.406 * [taylor]: Taking taylor expansion of K in U 14.406 * [backup-simplify]: Simplify K into K 14.406 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.406 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.406 * [taylor]: Taking taylor expansion of U in U 14.406 * [backup-simplify]: Simplify 0 into 0 14.406 * [backup-simplify]: Simplify 1 into 1 14.406 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.406 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.406 * [backup-simplify]: Simplify (- 0) into 0 14.407 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.407 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.407 * [backup-simplify]: Simplify (+ 0) into 0 14.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.409 * [backup-simplify]: Simplify (- 0) into 0 14.409 * [backup-simplify]: Simplify (+ 0 0) into 0 14.409 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.409 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.409 * [taylor]: Taking taylor expansion of 1/2 in U 14.409 * [backup-simplify]: Simplify 1/2 into 1/2 14.409 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.409 * [taylor]: Taking taylor expansion of J in U 14.409 * [backup-simplify]: Simplify J into J 14.409 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.410 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.410 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.410 * [taylor]: Taking taylor expansion of -1/2 in U 14.410 * [backup-simplify]: Simplify -1/2 into -1/2 14.410 * [taylor]: Taking taylor expansion of K in U 14.410 * [backup-simplify]: Simplify K into K 14.410 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.410 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.410 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.410 * [taylor]: Taking taylor expansion of U in U 14.410 * [backup-simplify]: Simplify 0 into 0 14.410 * [backup-simplify]: Simplify 1 into 1 14.410 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.410 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.410 * [backup-simplify]: Simplify (- 0) into 0 14.410 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.410 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.410 * [backup-simplify]: Simplify (+ 0) into 0 14.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.411 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.412 * [backup-simplify]: Simplify (- 0) into 0 14.412 * [backup-simplify]: Simplify (+ 0 0) into 0 14.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.412 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.413 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.413 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.413 * [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))) 14.413 * [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))) 14.413 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.415 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.417 * [backup-simplify]: Simplify (- 0) into 0 14.417 * [backup-simplify]: Simplify (+ 0 0) into 0 14.418 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.418 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.423 * [backup-simplify]: Simplify (- 0) into 0 14.424 * [backup-simplify]: Simplify (+ 0 0) into 0 14.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.425 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.426 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 14.426 * [backup-simplify]: Simplify (+ 0 0) into 0 14.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 14.426 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 14.426 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.426 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.427 * [taylor]: Taking taylor expansion of -1/2 in U 14.427 * [backup-simplify]: Simplify -1/2 into -1/2 14.427 * [taylor]: Taking taylor expansion of K in U 14.427 * [backup-simplify]: Simplify K into K 14.427 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.427 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.427 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.427 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 14.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 14.427 * [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 14.427 * [taylor]: Taking taylor expansion of (* 1 1) in U 14.427 * [taylor]: Taking taylor expansion of 1 in U 14.427 * [backup-simplify]: Simplify 1 into 1 14.427 * [taylor]: Taking taylor expansion of 1 in U 14.427 * [backup-simplify]: Simplify 1 into 1 14.427 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 14.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.427 * [taylor]: Taking taylor expansion of 1/2 in U 14.427 * [backup-simplify]: Simplify 1/2 into 1/2 14.427 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.427 * [taylor]: Taking taylor expansion of J in U 14.427 * [backup-simplify]: Simplify J into J 14.427 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.427 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.427 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.427 * [taylor]: Taking taylor expansion of -1/2 in U 14.427 * [backup-simplify]: Simplify -1/2 into -1/2 14.428 * [taylor]: Taking taylor expansion of K in U 14.428 * [backup-simplify]: Simplify K into K 14.428 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.428 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.428 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.428 * [taylor]: Taking taylor expansion of U in U 14.428 * [backup-simplify]: Simplify 0 into 0 14.428 * [backup-simplify]: Simplify 1 into 1 14.428 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.428 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.428 * [backup-simplify]: Simplify (- 0) into 0 14.429 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.429 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.429 * [backup-simplify]: Simplify (+ 0) into 0 14.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.430 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.431 * [backup-simplify]: Simplify (- 0) into 0 14.431 * [backup-simplify]: Simplify (+ 0 0) into 0 14.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.431 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 14.431 * [taylor]: Taking taylor expansion of 1/2 in U 14.431 * [backup-simplify]: Simplify 1/2 into 1/2 14.431 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 14.431 * [taylor]: Taking taylor expansion of J in U 14.431 * [backup-simplify]: Simplify J into J 14.431 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 14.431 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.431 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.431 * [taylor]: Taking taylor expansion of -1/2 in U 14.431 * [backup-simplify]: Simplify -1/2 into -1/2 14.431 * [taylor]: Taking taylor expansion of K in U 14.431 * [backup-simplify]: Simplify K into K 14.431 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.432 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.432 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.432 * [taylor]: Taking taylor expansion of U in U 14.432 * [backup-simplify]: Simplify 0 into 0 14.432 * [backup-simplify]: Simplify 1 into 1 14.432 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.432 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.432 * [backup-simplify]: Simplify (- 0) into 0 14.432 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.432 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 14.432 * [backup-simplify]: Simplify (+ 0) into 0 14.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.434 * [backup-simplify]: Simplify (- 0) into 0 14.434 * [backup-simplify]: Simplify (+ 0 0) into 0 14.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 14.434 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 14.434 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.435 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.435 * [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))) 14.435 * [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))) 14.435 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 14.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.436 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.436 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.437 * [backup-simplify]: Simplify (- 0) into 0 14.437 * [backup-simplify]: Simplify (+ 0 0) into 0 14.438 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.438 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.439 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.441 * [backup-simplify]: Simplify (- 0) into 0 14.441 * [backup-simplify]: Simplify (+ 0 0) into 0 14.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 14.441 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 14.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 14.442 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 14.442 * [backup-simplify]: Simplify (+ 0 0) into 0 14.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 14.443 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.443 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.443 * [backup-simplify]: Simplify (- 0) into 0 14.443 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.443 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 14.443 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 14.443 * [taylor]: Taking taylor expansion of 1/2 in J 14.443 * [backup-simplify]: Simplify 1/2 into 1/2 14.443 * [taylor]: Taking taylor expansion of J in J 14.443 * [backup-simplify]: Simplify 0 into 0 14.443 * [backup-simplify]: Simplify 1 into 1 14.443 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.443 * [taylor]: Taking taylor expansion of 0 in K 14.443 * [backup-simplify]: Simplify 0 into 0 14.443 * [backup-simplify]: Simplify 0 into 0 14.444 * [backup-simplify]: Simplify (+ 0) into 0 14.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.445 * [backup-simplify]: Simplify (- 0) into 0 14.445 * [backup-simplify]: Simplify (+ 0 0) into 0 14.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 14.446 * [taylor]: Taking taylor expansion of 0 in J 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [taylor]: Taking taylor expansion of 0 in K 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.446 * [taylor]: Taking taylor expansion of 1/2 in K 14.446 * [backup-simplify]: Simplify 1/2 into 1/2 14.446 * [backup-simplify]: Simplify 1/2 into 1/2 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify (* 1 1) into 1 14.447 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.448 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.448 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.449 * [backup-simplify]: Simplify (- 0) into 0 14.449 * [backup-simplify]: Simplify (+ 0 0) into 0 14.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.450 * [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 14.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 14.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.453 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.454 * [backup-simplify]: Simplify (- 0) into 0 14.454 * [backup-simplify]: Simplify (+ 0 0) into 0 14.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.455 * [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 14.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 14.456 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 14.456 * [backup-simplify]: Simplify (+ 1 0) into 1 14.457 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 14.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.458 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.459 * [backup-simplify]: Simplify (- 0) into 0 14.459 * [backup-simplify]: Simplify (+ 0 0) into 0 14.459 * [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) 14.460 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 14.460 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 14.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.460 * [taylor]: Taking taylor expansion of -1/2 in J 14.460 * [backup-simplify]: Simplify -1/2 into -1/2 14.460 * [taylor]: Taking taylor expansion of K in J 14.460 * [backup-simplify]: Simplify K into K 14.460 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.460 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.460 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.460 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.460 * [backup-simplify]: Simplify (- 0) into 0 14.460 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.460 * [taylor]: Taking taylor expansion of J in J 14.460 * [backup-simplify]: Simplify 0 into 0 14.460 * [backup-simplify]: Simplify 1 into 1 14.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 14.460 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 14.461 * [backup-simplify]: Simplify (+ 0) into 0 14.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.462 * [backup-simplify]: Simplify (- 0) into 0 14.462 * [backup-simplify]: Simplify (+ 0 0) into 0 14.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 14.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 14.463 * [taylor]: Taking taylor expansion of 0 in K 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [taylor]: Taking taylor expansion of 0 in K 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.464 * [taylor]: Taking taylor expansion of 0 in K 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U J)) 14.464 * * * [progress]: simplifying candidates 14.464 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 14.464 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 24 / 105 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)))))> 14.465 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 14.465 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 45 / 105 ] simplifiying candidate #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J)))> 14.466 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 14.466 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 72 / 105 ] simplifiying candidate #real (real->posit16 (/ U (* (* J 2) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J)))> 14.467 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 14.467 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (cos (/ K 2))))) (* -2 J)))> 14.468 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 14.468 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 14.469 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 14.469 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 14.473 * [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)) (real->posit16 (* (* (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))) (real->posit16 (* (* J 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) (real->posit16 (/ U (* (* J 2) (cos (/ K 2))))) (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))) (real->posit16 (* (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)) 14.477 * * [simplify]: iteration 1: (160 enodes) 14.527 * * [simplify]: iteration 2: (401 enodes) 14.681 * * [simplify]: iteration 3: (1448 enodes) 18.052 * * [simplify]: Extracting #0: cost 69 inf + 0 18.054 * * [simplify]: Extracting #1: cost 1011 inf + 1 18.070 * * [simplify]: Extracting #2: cost 2415 inf + 1681 18.098 * * [simplify]: Extracting #3: cost 2066 inf + 42217 18.149 * * [simplify]: Extracting #4: cost 1646 inf + 114639 18.273 * * [simplify]: Extracting #5: cost 700 inf + 395467 18.507 * * [simplify]: Extracting #6: cost 97 inf + 620130 18.786 * * [simplify]: Extracting #7: cost 0 inf + 658875 19.034 * * [simplify]: Extracting #8: cost 0 inf + 658436 19.275 * [simplify]: Simplified to: (expm1 (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (log1p (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (exp (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J)) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* J -2)) (* (* (* (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J)) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* J -2)) (* (* (* (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J)) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* J -2)) (* (* (* (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J)) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* J -2)) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J)) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* 2 J))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* J -2)) (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* -2 (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (* -2 (* (cos (/ K 2)) J)) (real->posit16 (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (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)) (exp (* (cos (/ K 2)) J))) (* (cos (/ K 2)) (* (* 2 J) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* (* 2 J) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (* (cbrt (* (* (cos (/ K 2)) J) 2)) (cbrt (* (* (cos (/ K 2)) J) 2))) (cbrt (* (* (cos (/ K 2)) J) 2)) (* (cos (/ K 2)) (* (* 2 J) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (sqrt (* (* (cos (/ K 2)) J) 2)) (sqrt (* (* (cos (/ K 2)) J) 2)) (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 2 (* J (sqrt (cos (/ K 2))))) (* 2 J) (* 2 (cos (/ K 2))) (real->posit16 (* (* (cos (/ K 2)) J) 2)) (expm1 (/ (/ U (cos (/ K 2))) (* 2 J))) (log1p (/ (/ U (cos (/ K 2))) (* 2 J))) (log (/ (/ U (cos (/ K 2))) (* 2 J))) (log (/ (/ U (cos (/ K 2))) (* 2 J))) (log (/ (/ U (cos (/ K 2))) (* 2 J))) (log (/ (/ U (cos (/ K 2))) (* 2 J))) (exp (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cbrt (/ (/ U (cos (/ K 2))) (* 2 J))) (cbrt (/ (/ U (cos (/ K 2))) (* 2 J)))) (cbrt (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (/ (/ U (cos (/ K 2))) (* 2 J))) (sqrt (/ (/ U (cos (/ K 2))) (* 2 J))) (- U) (* -2 (* (cos (/ K 2)) J)) (/ (cbrt U) (/ J (/ (cbrt U) 2))) (/ (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))) (/ (* 2 J) (/ U (cos (/ K 2)))) (/ (/ U J) 2) (/ (* 2 J) (/ (cbrt U) (cos (/ K 2)))) (* (/ J (/ (sqrt U) 2)) (cos (/ K 2))) (/ (* 2 J) (/ U (cos (/ K 2)))) (real->posit16 (/ (/ U (cos (/ K 2))) (* 2 J))) (expm1 (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (log1p (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (log (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (log (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (exp (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))))) (* (cbrt (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (cbrt (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))))) (sqrt (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (sqrt (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (sqrt (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (* (cbrt (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J)))) (cos (/ K 2))) (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2))) (real->posit16 (* (hypot 1 (/ (/ U (cos (/ K 2))) (* 2 J))) (cos (/ K 2)))) (+ (* (/ U (/ J U)) -1/4) (* J -2)) (- U) (- U) (* 2 J) (* 2 (* J (cos (* 1/2 K)))) (* 2 (* J (cos (* 1/2 K)))) (fma 1/2 (/ U J) (/ (* 1/16 (* K K)) (/ J U))) (/ (* (/ U J) 1/2) (cos (* 1/2 K))) (/ (* (/ U J) 1/2) (cos (* 1/2 K))) 1 (* (/ U J) 1/2) (* (/ U J) 1/2) 19.287 * * * [progress]: adding candidates to table 20.710 * * [progress]: iteration 4 / 4 20.710 * * * [progress]: picking best candidate 20.754 * * * * [pick]: Picked # 20.754 * * * [progress]: localizing error 20.814 * * * [progress]: generating rewritten candidates 20.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 20.886 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 20.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 20.937 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 20.973 * * * [progress]: generating series expansions 20.973 * * * * [progress]: [ 1 / 4 ] generating series at (2) 20.973 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 20.973 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (J K U) around 0 20.973 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 20.973 * [taylor]: Taking taylor expansion of -2 in U 20.973 * [backup-simplify]: Simplify -2 into -2 20.973 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 20.973 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.973 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.973 * [taylor]: Taking taylor expansion of 1/2 in U 20.974 * [backup-simplify]: Simplify 1/2 into 1/2 20.974 * [taylor]: Taking taylor expansion of K in U 20.974 * [backup-simplify]: Simplify K into K 20.974 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.974 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.974 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.974 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 20.974 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.974 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 20.974 * [taylor]: Taking taylor expansion of (* 1 1) in U 20.974 * [taylor]: Taking taylor expansion of 1 in U 20.974 * [backup-simplify]: Simplify 1 into 1 20.974 * [taylor]: Taking taylor expansion of 1 in U 20.974 * [backup-simplify]: Simplify 1 into 1 20.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 20.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.974 * [taylor]: Taking taylor expansion of 1/2 in U 20.974 * [backup-simplify]: Simplify 1/2 into 1/2 20.974 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.974 * [taylor]: Taking taylor expansion of U in U 20.974 * [backup-simplify]: Simplify 0 into 0 20.974 * [backup-simplify]: Simplify 1 into 1 20.974 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.974 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.974 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.974 * [taylor]: Taking taylor expansion of 1/2 in U 20.974 * [backup-simplify]: Simplify 1/2 into 1/2 20.974 * [taylor]: Taking taylor expansion of K in U 20.975 * [backup-simplify]: Simplify K into K 20.975 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.975 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.975 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.975 * [taylor]: Taking taylor expansion of J in U 20.975 * [backup-simplify]: Simplify J into J 20.975 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.975 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.976 * [backup-simplify]: Simplify (- 0) into 0 20.976 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.976 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.976 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 20.976 * [taylor]: Taking taylor expansion of 1/2 in U 20.976 * [backup-simplify]: Simplify 1/2 into 1/2 20.976 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 20.976 * [taylor]: Taking taylor expansion of U in U 20.976 * [backup-simplify]: Simplify 0 into 0 20.976 * [backup-simplify]: Simplify 1 into 1 20.976 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 20.976 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 20.976 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 20.976 * [taylor]: Taking taylor expansion of 1/2 in U 20.976 * [backup-simplify]: Simplify 1/2 into 1/2 20.976 * [taylor]: Taking taylor expansion of K in U 20.976 * [backup-simplify]: Simplify K into K 20.977 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.977 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.977 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.977 * [taylor]: Taking taylor expansion of J in U 20.977 * [backup-simplify]: Simplify J into J 20.977 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.977 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.977 * [backup-simplify]: Simplify (- 0) into 0 20.977 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 20.978 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 20.978 * [backup-simplify]: Simplify (* 1 1) into 1 20.979 * [backup-simplify]: Simplify (+ 1 0) into 1 20.979 * [backup-simplify]: Simplify (sqrt 1) into 1 20.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.980 * [backup-simplify]: Simplify (+ 0 0) into 0 20.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.981 * [taylor]: Taking taylor expansion of J in U 20.981 * [backup-simplify]: Simplify J into J 20.981 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 20.981 * [taylor]: Taking taylor expansion of -2 in K 20.981 * [backup-simplify]: Simplify -2 into -2 20.981 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 20.981 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.981 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.981 * [taylor]: Taking taylor expansion of 1/2 in K 20.981 * [backup-simplify]: Simplify 1/2 into 1/2 20.981 * [taylor]: Taking taylor expansion of K in K 20.981 * [backup-simplify]: Simplify 0 into 0 20.981 * [backup-simplify]: Simplify 1 into 1 20.982 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.982 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.983 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 20.983 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.983 * [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 20.983 * [taylor]: Taking taylor expansion of (* 1 1) in K 20.983 * [taylor]: Taking taylor expansion of 1 in K 20.983 * [backup-simplify]: Simplify 1 into 1 20.983 * [taylor]: Taking taylor expansion of 1 in K 20.983 * [backup-simplify]: Simplify 1 into 1 20.983 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 20.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.983 * [taylor]: Taking taylor expansion of 1/2 in K 20.983 * [backup-simplify]: Simplify 1/2 into 1/2 20.983 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.983 * [taylor]: Taking taylor expansion of U in K 20.983 * [backup-simplify]: Simplify U into U 20.983 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.983 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.983 * [taylor]: Taking taylor expansion of 1/2 in K 20.983 * [backup-simplify]: Simplify 1/2 into 1/2 20.983 * [taylor]: Taking taylor expansion of K in K 20.983 * [backup-simplify]: Simplify 0 into 0 20.983 * [backup-simplify]: Simplify 1 into 1 20.984 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.984 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.984 * [taylor]: Taking taylor expansion of J in K 20.984 * [backup-simplify]: Simplify J into J 20.985 * [backup-simplify]: Simplify (* 1 J) into J 20.985 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 20.985 * [taylor]: Taking taylor expansion of 1/2 in K 20.985 * [backup-simplify]: Simplify 1/2 into 1/2 20.985 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 20.985 * [taylor]: Taking taylor expansion of U in K 20.985 * [backup-simplify]: Simplify U into U 20.985 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 20.985 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 20.985 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.985 * [taylor]: Taking taylor expansion of 1/2 in K 20.985 * [backup-simplify]: Simplify 1/2 into 1/2 20.985 * [taylor]: Taking taylor expansion of K in K 20.985 * [backup-simplify]: Simplify 0 into 0 20.985 * [backup-simplify]: Simplify 1 into 1 20.985 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.986 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.986 * [taylor]: Taking taylor expansion of J in K 20.986 * [backup-simplify]: Simplify J into J 20.986 * [backup-simplify]: Simplify (* 1 J) into J 20.986 * [backup-simplify]: Simplify (/ U J) into (/ U J) 20.987 * [backup-simplify]: Simplify (* 1 1) into 1 20.987 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.987 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 20.987 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 20.987 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 20.988 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 20.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.989 * [backup-simplify]: Simplify (+ 0) into 0 20.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.989 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.990 * [backup-simplify]: Simplify (+ 0) into 0 20.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 20.991 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 20.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 20.992 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 20.993 * [backup-simplify]: Simplify (+ 0 0) into 0 20.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 20.993 * [taylor]: Taking taylor expansion of J in K 20.993 * [backup-simplify]: Simplify J into J 20.993 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 20.993 * [taylor]: Taking taylor expansion of -2 in J 20.993 * [backup-simplify]: Simplify -2 into -2 20.993 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 20.993 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.993 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.993 * [taylor]: Taking taylor expansion of 1/2 in J 20.993 * [backup-simplify]: Simplify 1/2 into 1/2 20.993 * [taylor]: Taking taylor expansion of K in J 20.993 * [backup-simplify]: Simplify K into K 20.993 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.993 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.993 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.993 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 20.993 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 20.994 * [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 20.994 * [taylor]: Taking taylor expansion of (* 1 1) in J 20.994 * [taylor]: Taking taylor expansion of 1 in J 20.994 * [backup-simplify]: Simplify 1 into 1 20.994 * [taylor]: Taking taylor expansion of 1 in J 20.994 * [backup-simplify]: Simplify 1 into 1 20.994 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 20.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.994 * [taylor]: Taking taylor expansion of 1/2 in J 20.994 * [backup-simplify]: Simplify 1/2 into 1/2 20.994 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.994 * [taylor]: Taking taylor expansion of U in J 20.994 * [backup-simplify]: Simplify U into U 20.994 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.994 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.994 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.994 * [taylor]: Taking taylor expansion of 1/2 in J 20.994 * [backup-simplify]: Simplify 1/2 into 1/2 20.994 * [taylor]: Taking taylor expansion of K in J 20.994 * [backup-simplify]: Simplify K into K 20.994 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.994 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.994 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.994 * [taylor]: Taking taylor expansion of J in J 20.994 * [backup-simplify]: Simplify 0 into 0 20.994 * [backup-simplify]: Simplify 1 into 1 20.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.995 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 20.995 * [backup-simplify]: Simplify (- 0) into 0 20.995 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 20.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 20.996 * [backup-simplify]: Simplify (+ 0) into 0 20.996 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 20.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 20.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.998 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 20.998 * [backup-simplify]: Simplify (- 0) into 0 20.998 * [backup-simplify]: Simplify (+ 0 0) into 0 20.999 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 20.999 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 20.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 20.999 * [taylor]: Taking taylor expansion of 1/2 in J 20.999 * [backup-simplify]: Simplify 1/2 into 1/2 20.999 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 20.999 * [taylor]: Taking taylor expansion of U in J 20.999 * [backup-simplify]: Simplify U into U 20.999 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 20.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 20.999 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 20.999 * [taylor]: Taking taylor expansion of 1/2 in J 20.999 * [backup-simplify]: Simplify 1/2 into 1/2 20.999 * [taylor]: Taking taylor expansion of K in J 20.999 * [backup-simplify]: Simplify K into K 20.999 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 20.999 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 20.999 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 20.999 * [taylor]: Taking taylor expansion of J in J 20.999 * [backup-simplify]: Simplify 0 into 0 20.999 * [backup-simplify]: Simplify 1 into 1 20.999 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 20.999 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.000 * [backup-simplify]: Simplify (- 0) into 0 21.000 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.000 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.000 * [backup-simplify]: Simplify (+ 0) into 0 21.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.001 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.002 * [backup-simplify]: Simplify (- 0) into 0 21.002 * [backup-simplify]: Simplify (+ 0 0) into 0 21.002 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.002 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.002 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.003 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.003 * [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))) 21.003 * [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))) 21.003 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.004 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.005 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.006 * [backup-simplify]: Simplify (- 0) into 0 21.006 * [backup-simplify]: Simplify (+ 0 0) into 0 21.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.007 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.008 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.009 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.009 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.010 * [backup-simplify]: Simplify (- 0) into 0 21.010 * [backup-simplify]: Simplify (+ 0 0) into 0 21.010 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.010 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.011 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 21.011 * [backup-simplify]: Simplify (+ 0 0) into 0 21.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 21.012 * [taylor]: Taking taylor expansion of J in J 21.012 * [backup-simplify]: Simplify 0 into 0 21.012 * [backup-simplify]: Simplify 1 into 1 21.012 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 21.012 * [taylor]: Taking taylor expansion of -2 in J 21.012 * [backup-simplify]: Simplify -2 into -2 21.012 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 21.012 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.012 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.012 * [taylor]: Taking taylor expansion of 1/2 in J 21.012 * [backup-simplify]: Simplify 1/2 into 1/2 21.012 * [taylor]: Taking taylor expansion of K in J 21.012 * [backup-simplify]: Simplify K into K 21.012 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.012 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.012 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.012 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 21.012 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 21.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 21.012 * [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 21.012 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.012 * [taylor]: Taking taylor expansion of 1 in J 21.012 * [backup-simplify]: Simplify 1 into 1 21.012 * [taylor]: Taking taylor expansion of 1 in J 21.012 * [backup-simplify]: Simplify 1 into 1 21.012 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 21.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.012 * [taylor]: Taking taylor expansion of 1/2 in J 21.013 * [backup-simplify]: Simplify 1/2 into 1/2 21.013 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.013 * [taylor]: Taking taylor expansion of U in J 21.013 * [backup-simplify]: Simplify U into U 21.013 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.013 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.013 * [taylor]: Taking taylor expansion of 1/2 in J 21.013 * [backup-simplify]: Simplify 1/2 into 1/2 21.013 * [taylor]: Taking taylor expansion of K in J 21.013 * [backup-simplify]: Simplify K into K 21.013 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.013 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.013 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.013 * [taylor]: Taking taylor expansion of J in J 21.013 * [backup-simplify]: Simplify 0 into 0 21.013 * [backup-simplify]: Simplify 1 into 1 21.013 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.013 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.013 * [backup-simplify]: Simplify (- 0) into 0 21.013 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.013 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.014 * [backup-simplify]: Simplify (+ 0) into 0 21.014 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.015 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.015 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.016 * [backup-simplify]: Simplify (- 0) into 0 21.016 * [backup-simplify]: Simplify (+ 0 0) into 0 21.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.016 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.016 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.016 * [taylor]: Taking taylor expansion of 1/2 in J 21.016 * [backup-simplify]: Simplify 1/2 into 1/2 21.016 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.016 * [taylor]: Taking taylor expansion of U in J 21.017 * [backup-simplify]: Simplify U into U 21.017 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.017 * [taylor]: Taking taylor expansion of 1/2 in J 21.017 * [backup-simplify]: Simplify 1/2 into 1/2 21.017 * [taylor]: Taking taylor expansion of K in J 21.017 * [backup-simplify]: Simplify K into K 21.017 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.017 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.017 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.017 * [taylor]: Taking taylor expansion of J in J 21.017 * [backup-simplify]: Simplify 0 into 0 21.017 * [backup-simplify]: Simplify 1 into 1 21.017 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.017 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.017 * [backup-simplify]: Simplify (- 0) into 0 21.017 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.017 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.017 * [backup-simplify]: Simplify (+ 0) into 0 21.018 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.019 * [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 21.019 * [backup-simplify]: Simplify (+ 0 0) into 0 21.020 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.020 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.020 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.020 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.020 * [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))) 21.020 * [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))) 21.020 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.023 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.023 * [backup-simplify]: Simplify (- 0) into 0 21.023 * [backup-simplify]: Simplify (+ 0 0) into 0 21.024 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.024 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.025 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.027 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.027 * [backup-simplify]: Simplify (- 0) into 0 21.027 * [backup-simplify]: Simplify (+ 0 0) into 0 21.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.028 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.028 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 21.029 * [backup-simplify]: Simplify (+ 0 0) into 0 21.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 21.029 * [taylor]: Taking taylor expansion of J in J 21.029 * [backup-simplify]: Simplify 0 into 0 21.029 * [backup-simplify]: Simplify 1 into 1 21.029 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.029 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.029 * [backup-simplify]: Simplify (- 0) into 0 21.029 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.030 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) into 0 21.030 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.030 * [backup-simplify]: Simplify (* -2 0) into 0 21.030 * [taylor]: Taking taylor expansion of 0 in K 21.030 * [backup-simplify]: Simplify 0 into 0 21.030 * [taylor]: Taking taylor expansion of 0 in U 21.030 * [backup-simplify]: Simplify 0 into 0 21.030 * [backup-simplify]: Simplify 0 into 0 21.030 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 1) (* 0 0)) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.031 * [backup-simplify]: Simplify (+ 0) into 0 21.031 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.032 * [backup-simplify]: Simplify (- 0) into 0 21.032 * [backup-simplify]: Simplify (+ 0 0) into 0 21.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0)) into (* 1/2 U) 21.033 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 21.033 * [taylor]: Taking taylor expansion of (- U) in K 21.033 * [taylor]: Taking taylor expansion of U in K 21.033 * [backup-simplify]: Simplify U into U 21.033 * [backup-simplify]: Simplify (- U) into (- U) 21.033 * [taylor]: Taking taylor expansion of (- U) in U 21.033 * [taylor]: Taking taylor expansion of U in U 21.033 * [backup-simplify]: Simplify 0 into 0 21.033 * [backup-simplify]: Simplify 1 into 1 21.034 * [backup-simplify]: Simplify (- 0) into 0 21.034 * [backup-simplify]: Simplify 0 into 0 21.034 * [taylor]: Taking taylor expansion of 0 in U 21.034 * [backup-simplify]: Simplify 0 into 0 21.034 * [backup-simplify]: Simplify 0 into 0 21.034 * [backup-simplify]: Simplify 0 into 0 21.034 * [backup-simplify]: Simplify (* 1 1) into 1 21.034 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 21.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.037 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.037 * [backup-simplify]: Simplify (- 0) into 0 21.038 * [backup-simplify]: Simplify (+ 0 0) into 0 21.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.038 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 21.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ U (cos (* 1/2 K)))))) into 0 21.039 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 21.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.043 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.043 * [backup-simplify]: Simplify (- 0) into 0 21.043 * [backup-simplify]: Simplify (+ 0 0) into 0 21.044 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.045 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 21.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ U (cos (* 1/2 K)))))) into 0 21.046 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 21.047 * [backup-simplify]: Simplify (+ 1 0) into 1 21.047 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 21.048 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 1) (* (/ (cos (* 1/2 K)) U) 0))) into 0 21.049 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.051 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.052 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.052 * [backup-simplify]: Simplify (- 0) into 0 21.053 * [backup-simplify]: Simplify (+ 0 0) into 0 21.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0))) into 0 21.054 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 21.054 * [taylor]: Taking taylor expansion of 0 in K 21.054 * [backup-simplify]: Simplify 0 into 0 21.054 * [taylor]: Taking taylor expansion of 0 in U 21.054 * [backup-simplify]: Simplify 0 into 0 21.054 * [backup-simplify]: Simplify 0 into 0 21.055 * [backup-simplify]: Simplify (- 0) into 0 21.055 * [taylor]: Taking taylor expansion of 0 in U 21.055 * [backup-simplify]: Simplify 0 into 0 21.055 * [backup-simplify]: Simplify 0 into 0 21.055 * [backup-simplify]: Simplify 0 into 0 21.055 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 (/ (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) (/ 1 U)))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 21.056 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (J K U) around 0 21.056 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 21.056 * [taylor]: Taking taylor expansion of -2 in U 21.056 * [backup-simplify]: Simplify -2 into -2 21.056 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 21.056 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 21.056 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 21.056 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.056 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 21.056 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.056 * [taylor]: Taking taylor expansion of 1 in U 21.056 * [backup-simplify]: Simplify 1 into 1 21.056 * [taylor]: Taking taylor expansion of 1 in U 21.056 * [backup-simplify]: Simplify 1 into 1 21.056 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 21.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 21.056 * [taylor]: Taking taylor expansion of 1/2 in U 21.056 * [backup-simplify]: Simplify 1/2 into 1/2 21.056 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 21.056 * [taylor]: Taking taylor expansion of J in U 21.056 * [backup-simplify]: Simplify J into J 21.056 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.056 * [taylor]: Taking taylor expansion of U in U 21.056 * [backup-simplify]: Simplify 0 into 0 21.056 * [backup-simplify]: Simplify 1 into 1 21.056 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.056 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.056 * [taylor]: Taking taylor expansion of 1/2 in U 21.056 * [backup-simplify]: Simplify 1/2 into 1/2 21.056 * [taylor]: Taking taylor expansion of K in U 21.057 * [backup-simplify]: Simplify K into K 21.057 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.057 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.057 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.057 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.057 * [backup-simplify]: Simplify (- 0) into 0 21.057 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.058 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.058 * [backup-simplify]: Simplify (+ 0) into 0 21.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.060 * [backup-simplify]: Simplify (- 0) into 0 21.061 * [backup-simplify]: Simplify (+ 0 0) into 0 21.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.061 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 21.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 21.061 * [taylor]: Taking taylor expansion of 1/2 in U 21.061 * [backup-simplify]: Simplify 1/2 into 1/2 21.061 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 21.061 * [taylor]: Taking taylor expansion of J in U 21.061 * [backup-simplify]: Simplify J into J 21.061 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.061 * [taylor]: Taking taylor expansion of U in U 21.061 * [backup-simplify]: Simplify 0 into 0 21.061 * [backup-simplify]: Simplify 1 into 1 21.061 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.061 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.061 * [taylor]: Taking taylor expansion of 1/2 in U 21.062 * [backup-simplify]: Simplify 1/2 into 1/2 21.062 * [taylor]: Taking taylor expansion of K in U 21.062 * [backup-simplify]: Simplify K into K 21.062 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.062 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.062 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.062 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.062 * [backup-simplify]: Simplify (- 0) into 0 21.062 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.062 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.063 * [backup-simplify]: Simplify (+ 0) into 0 21.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.065 * [backup-simplify]: Simplify (- 0) into 0 21.065 * [backup-simplify]: Simplify (+ 0 0) into 0 21.066 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.066 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 21.066 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.066 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.066 * [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))) 21.066 * [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))) 21.066 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 21.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.069 * [backup-simplify]: Simplify (- 0) into 0 21.069 * [backup-simplify]: Simplify (+ 0 0) into 0 21.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 21.069 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 21.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.071 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.072 * [backup-simplify]: Simplify (- 0) into 0 21.072 * [backup-simplify]: Simplify (+ 0 0) into 0 21.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 21.073 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 21.073 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 21.074 * [backup-simplify]: Simplify (+ 0 0) into 0 21.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 21.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.074 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.074 * [taylor]: Taking taylor expansion of 1/2 in U 21.074 * [backup-simplify]: Simplify 1/2 into 1/2 21.074 * [taylor]: Taking taylor expansion of K in U 21.074 * [backup-simplify]: Simplify K into K 21.074 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.074 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.074 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.074 * [taylor]: Taking taylor expansion of J in U 21.074 * [backup-simplify]: Simplify J into J 21.074 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.074 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.075 * [backup-simplify]: Simplify (- 0) into 0 21.075 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.075 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 21.075 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 21.075 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 21.075 * [taylor]: Taking taylor expansion of -2 in K 21.075 * [backup-simplify]: Simplify -2 into -2 21.075 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 21.075 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 21.075 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 21.075 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.075 * [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 21.075 * [taylor]: Taking taylor expansion of (* 1 1) in K 21.075 * [taylor]: Taking taylor expansion of 1 in K 21.075 * [backup-simplify]: Simplify 1 into 1 21.075 * [taylor]: Taking taylor expansion of 1 in K 21.075 * [backup-simplify]: Simplify 1 into 1 21.075 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 21.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 21.075 * [taylor]: Taking taylor expansion of 1/2 in K 21.075 * [backup-simplify]: Simplify 1/2 into 1/2 21.075 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 21.075 * [taylor]: Taking taylor expansion of J in K 21.075 * [backup-simplify]: Simplify J into J 21.075 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 21.076 * [taylor]: Taking taylor expansion of U in K 21.076 * [backup-simplify]: Simplify U into U 21.076 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.076 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.076 * [taylor]: Taking taylor expansion of 1/2 in K 21.076 * [backup-simplify]: Simplify 1/2 into 1/2 21.076 * [taylor]: Taking taylor expansion of K in K 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 1 into 1 21.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.076 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.076 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.076 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 21.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 21.076 * [taylor]: Taking taylor expansion of 1/2 in K 21.076 * [backup-simplify]: Simplify 1/2 into 1/2 21.076 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 21.076 * [taylor]: Taking taylor expansion of J in K 21.076 * [backup-simplify]: Simplify J into J 21.076 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 21.076 * [taylor]: Taking taylor expansion of U in K 21.076 * [backup-simplify]: Simplify U into U 21.076 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.076 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.076 * [taylor]: Taking taylor expansion of 1/2 in K 21.076 * [backup-simplify]: Simplify 1/2 into 1/2 21.076 * [taylor]: Taking taylor expansion of K in K 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 1 into 1 21.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.077 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.077 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.077 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 21.077 * [backup-simplify]: Simplify (* 1 1) into 1 21.077 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 21.077 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 21.077 * [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)))) 21.078 * [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) 21.078 * [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)) 21.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.078 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.079 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 21.079 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.079 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 21.084 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 21.085 * [backup-simplify]: Simplify (+ 0 0) into 0 21.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 21.085 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.085 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.085 * [taylor]: Taking taylor expansion of 1/2 in K 21.085 * [backup-simplify]: Simplify 1/2 into 1/2 21.085 * [taylor]: Taking taylor expansion of K in K 21.085 * [backup-simplify]: Simplify 0 into 0 21.085 * [backup-simplify]: Simplify 1 into 1 21.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.085 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.085 * [taylor]: Taking taylor expansion of J in K 21.085 * [backup-simplify]: Simplify J into J 21.086 * [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))) 21.086 * [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)) 21.086 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 21.086 * [taylor]: Taking taylor expansion of -2 in J 21.086 * [backup-simplify]: Simplify -2 into -2 21.086 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 21.086 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 21.086 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 21.086 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.086 * [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 21.086 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.086 * [taylor]: Taking taylor expansion of 1 in J 21.086 * [backup-simplify]: Simplify 1 into 1 21.086 * [taylor]: Taking taylor expansion of 1 in J 21.086 * [backup-simplify]: Simplify 1 into 1 21.086 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 21.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.086 * [taylor]: Taking taylor expansion of 1/2 in J 21.086 * [backup-simplify]: Simplify 1/2 into 1/2 21.086 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.086 * [taylor]: Taking taylor expansion of J in J 21.086 * [backup-simplify]: Simplify 0 into 0 21.086 * [backup-simplify]: Simplify 1 into 1 21.086 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.087 * [taylor]: Taking taylor expansion of U in J 21.087 * [backup-simplify]: Simplify U into U 21.087 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.087 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.087 * [taylor]: Taking taylor expansion of 1/2 in J 21.087 * [backup-simplify]: Simplify 1/2 into 1/2 21.087 * [taylor]: Taking taylor expansion of K in J 21.087 * [backup-simplify]: Simplify K into K 21.087 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.087 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.087 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.087 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.087 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.087 * [backup-simplify]: Simplify (- 0) into 0 21.087 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.087 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.087 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.087 * [taylor]: Taking taylor expansion of 1/2 in J 21.087 * [backup-simplify]: Simplify 1/2 into 1/2 21.087 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.087 * [taylor]: Taking taylor expansion of J in J 21.087 * [backup-simplify]: Simplify 0 into 0 21.087 * [backup-simplify]: Simplify 1 into 1 21.087 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.087 * [taylor]: Taking taylor expansion of U in J 21.087 * [backup-simplify]: Simplify U into U 21.087 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.088 * [taylor]: Taking taylor expansion of 1/2 in J 21.088 * [backup-simplify]: Simplify 1/2 into 1/2 21.088 * [taylor]: Taking taylor expansion of K in J 21.088 * [backup-simplify]: Simplify K into K 21.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.088 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.088 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.088 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.088 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.088 * [backup-simplify]: Simplify (- 0) into 0 21.088 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.088 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.088 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.089 * [backup-simplify]: Simplify (* 1 1) into 1 21.089 * [backup-simplify]: Simplify (+ 1 0) into 1 21.089 * [backup-simplify]: Simplify (sqrt 1) into 1 21.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.090 * [backup-simplify]: Simplify (+ 0 0) into 0 21.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.090 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.090 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.090 * [taylor]: Taking taylor expansion of 1/2 in J 21.090 * [backup-simplify]: Simplify 1/2 into 1/2 21.090 * [taylor]: Taking taylor expansion of K in J 21.090 * [backup-simplify]: Simplify K into K 21.090 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.090 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.090 * [taylor]: Taking taylor expansion of J in J 21.091 * [backup-simplify]: Simplify 0 into 0 21.091 * [backup-simplify]: Simplify 1 into 1 21.091 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.091 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.091 * [backup-simplify]: Simplify (- 0) into 0 21.091 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.091 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 21.091 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.091 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 21.091 * [taylor]: Taking taylor expansion of -2 in J 21.091 * [backup-simplify]: Simplify -2 into -2 21.091 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 21.091 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 21.091 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 21.091 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 21.091 * [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 21.091 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.091 * [taylor]: Taking taylor expansion of 1 in J 21.091 * [backup-simplify]: Simplify 1 into 1 21.091 * [taylor]: Taking taylor expansion of 1 in J 21.091 * [backup-simplify]: Simplify 1 into 1 21.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 21.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.091 * [taylor]: Taking taylor expansion of 1/2 in J 21.091 * [backup-simplify]: Simplify 1/2 into 1/2 21.091 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.091 * [taylor]: Taking taylor expansion of J in J 21.091 * [backup-simplify]: Simplify 0 into 0 21.091 * [backup-simplify]: Simplify 1 into 1 21.091 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.091 * [taylor]: Taking taylor expansion of U in J 21.091 * [backup-simplify]: Simplify U into U 21.091 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.091 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.091 * [taylor]: Taking taylor expansion of 1/2 in J 21.092 * [backup-simplify]: Simplify 1/2 into 1/2 21.092 * [taylor]: Taking taylor expansion of K in J 21.092 * [backup-simplify]: Simplify K into K 21.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.092 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.092 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.092 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.092 * [backup-simplify]: Simplify (- 0) into 0 21.092 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.092 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.092 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.092 * [taylor]: Taking taylor expansion of 1/2 in J 21.092 * [backup-simplify]: Simplify 1/2 into 1/2 21.092 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.092 * [taylor]: Taking taylor expansion of J in J 21.092 * [backup-simplify]: Simplify 0 into 0 21.092 * [backup-simplify]: Simplify 1 into 1 21.092 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.092 * [taylor]: Taking taylor expansion of U in J 21.092 * [backup-simplify]: Simplify U into U 21.092 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.092 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.092 * [taylor]: Taking taylor expansion of 1/2 in J 21.092 * [backup-simplify]: Simplify 1/2 into 1/2 21.092 * [taylor]: Taking taylor expansion of K in J 21.092 * [backup-simplify]: Simplify K into K 21.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.093 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.093 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.093 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.093 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.093 * [backup-simplify]: Simplify (- 0) into 0 21.093 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.093 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.093 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.093 * [backup-simplify]: Simplify (* 1 1) into 1 21.094 * [backup-simplify]: Simplify (+ 1 0) into 1 21.094 * [backup-simplify]: Simplify (sqrt 1) into 1 21.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.095 * [backup-simplify]: Simplify (+ 0 0) into 0 21.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.095 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.095 * [taylor]: Taking taylor expansion of 1/2 in J 21.095 * [backup-simplify]: Simplify 1/2 into 1/2 21.095 * [taylor]: Taking taylor expansion of K in J 21.095 * [backup-simplify]: Simplify K into K 21.095 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.095 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.095 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.095 * [taylor]: Taking taylor expansion of J in J 21.095 * [backup-simplify]: Simplify 0 into 0 21.095 * [backup-simplify]: Simplify 1 into 1 21.095 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.095 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.096 * [backup-simplify]: Simplify (- 0) into 0 21.096 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.096 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 21.096 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.096 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 21.096 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 21.096 * [taylor]: Taking taylor expansion of -2 in K 21.096 * [backup-simplify]: Simplify -2 into -2 21.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.096 * [taylor]: Taking taylor expansion of 1/2 in K 21.096 * [backup-simplify]: Simplify 1/2 into 1/2 21.096 * [taylor]: Taking taylor expansion of K in K 21.096 * [backup-simplify]: Simplify 0 into 0 21.096 * [backup-simplify]: Simplify 1 into 1 21.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.096 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 21.096 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 21.096 * [taylor]: Taking taylor expansion of -2 in U 21.097 * [backup-simplify]: Simplify -2 into -2 21.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.097 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.097 * [taylor]: Taking taylor expansion of 1/2 in U 21.097 * [backup-simplify]: Simplify 1/2 into 1/2 21.097 * [taylor]: Taking taylor expansion of K in U 21.097 * [backup-simplify]: Simplify K into K 21.097 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.097 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.097 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.097 * [backup-simplify]: Simplify (+ 0) into 0 21.097 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.097 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.099 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.099 * [backup-simplify]: Simplify (- 0) into 0 21.100 * [backup-simplify]: Simplify (+ 0 0) into 0 21.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 21.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 21.102 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 21.102 * [taylor]: Taking taylor expansion of 0 in K 21.102 * [backup-simplify]: Simplify 0 into 0 21.102 * [taylor]: Taking taylor expansion of 0 in U 21.102 * [backup-simplify]: Simplify 0 into 0 21.102 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 21.102 * [taylor]: Taking taylor expansion of 0 in U 21.102 * [backup-simplify]: Simplify 0 into 0 21.102 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.103 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.103 * [backup-simplify]: Simplify (- 0) into 0 21.103 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.103 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 21.103 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 21.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.105 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.106 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.107 * [backup-simplify]: Simplify (- 0) into 0 21.107 * [backup-simplify]: Simplify (+ 0 0) into 0 21.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.109 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 21.109 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 21.109 * [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))) 21.109 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 21.111 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 21.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 21.113 * [backup-simplify]: Simplify (- (/ (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 21.114 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 21.114 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 21.114 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 21.114 * [taylor]: Taking taylor expansion of 1/4 in K 21.114 * [backup-simplify]: Simplify 1/4 into 1/4 21.114 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 21.114 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 21.114 * [taylor]: Taking taylor expansion of (pow U 2) in K 21.114 * [taylor]: Taking taylor expansion of U in K 21.114 * [backup-simplify]: Simplify U into U 21.114 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.114 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.114 * [taylor]: Taking taylor expansion of 1/2 in K 21.114 * [backup-simplify]: Simplify 1/2 into 1/2 21.114 * [taylor]: Taking taylor expansion of K in K 21.114 * [backup-simplify]: Simplify 0 into 0 21.114 * [backup-simplify]: Simplify 1 into 1 21.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.115 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.115 * [backup-simplify]: Simplify (* U U) into (pow U 2) 21.115 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 21.115 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 21.116 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 21.116 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 21.116 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 21.116 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 21.116 * [taylor]: Taking taylor expansion of 1/4 in U 21.116 * [backup-simplify]: Simplify 1/4 into 1/4 21.116 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 21.116 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 21.116 * [taylor]: Taking taylor expansion of (pow U 2) in U 21.116 * [taylor]: Taking taylor expansion of U in U 21.116 * [backup-simplify]: Simplify 0 into 0 21.116 * [backup-simplify]: Simplify 1 into 1 21.116 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.116 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.116 * [taylor]: Taking taylor expansion of 1/2 in U 21.116 * [backup-simplify]: Simplify 1/2 into 1/2 21.116 * [taylor]: Taking taylor expansion of K in U 21.116 * [backup-simplify]: Simplify K into K 21.116 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.116 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.117 * [backup-simplify]: Simplify (* 1 1) into 1 21.117 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.117 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.117 * [backup-simplify]: Simplify (- 0) into 0 21.118 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.118 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 21.118 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 21.118 * [backup-simplify]: Simplify (+ 0) into 0 21.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.121 * [backup-simplify]: Simplify (- 0) into 0 21.121 * [backup-simplify]: Simplify (+ 0 0) into 0 21.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 21.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 21.123 * [backup-simplify]: Simplify (- 0) into 0 21.123 * [backup-simplify]: Simplify 0 into 0 21.123 * [taylor]: Taking taylor expansion of 0 in U 21.123 * [backup-simplify]: Simplify 0 into 0 21.124 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.124 * [taylor]: Taking taylor expansion of 0 in U 21.124 * [backup-simplify]: Simplify 0 into 0 21.124 * [backup-simplify]: Simplify 0 into 0 21.124 * [backup-simplify]: Simplify 0 into 0 21.125 * [backup-simplify]: Simplify (+ 0) into 0 21.125 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.126 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.127 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.128 * [backup-simplify]: Simplify (- 0) into 0 21.128 * [backup-simplify]: Simplify (+ 0 0) into 0 21.129 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 21.129 * [backup-simplify]: Simplify 0 into 0 21.130 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.131 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.131 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.134 * [backup-simplify]: Simplify (- 0) into 0 21.134 * [backup-simplify]: Simplify (+ 0 0) into 0 21.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.136 * [backup-simplify]: Simplify (+ 0) into 0 21.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 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 21.139 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.139 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* U (cos (/ 1/2 K)))))) into 0 21.140 * [backup-simplify]: Simplify (+ 0) into 0 21.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.142 * [backup-simplify]: Simplify (- 0) into 0 21.143 * [backup-simplify]: Simplify (+ 0 0) into 0 21.143 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.143 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* U (cos (/ 1/2 K)))))) into 0 21.144 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0 21.145 * [backup-simplify]: Simplify (+ 0 0) into 0 21.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 21.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) (/ 0 1)))) into 0 21.150 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.150 * [taylor]: Taking taylor expansion of 0 in K 21.150 * [backup-simplify]: Simplify 0 into 0 21.150 * [taylor]: Taking taylor expansion of 0 in U 21.150 * [backup-simplify]: Simplify 0 into 0 21.150 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 21.151 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 21.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 21.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 21.152 * [backup-simplify]: Simplify (- 0) into 0 21.152 * [taylor]: Taking taylor expansion of 0 in U 21.152 * [backup-simplify]: Simplify 0 into 0 21.152 * [taylor]: Taking taylor expansion of 0 in U 21.152 * [backup-simplify]: Simplify 0 into 0 21.153 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.153 * [taylor]: Taking taylor expansion of 0 in U 21.153 * [backup-simplify]: Simplify 0 into 0 21.154 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 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 21.158 * [backup-simplify]: Simplify (+ 0 0) into 0 21.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 21.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 21.161 * [backup-simplify]: Simplify (- 0) into 0 21.161 * [backup-simplify]: Simplify 0 into 0 21.161 * [backup-simplify]: Simplify 0 into 0 21.162 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 21.162 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 (/ (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 21.162 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (J K U) around 0 21.162 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 21.162 * [taylor]: Taking taylor expansion of 2 in U 21.162 * [backup-simplify]: Simplify 2 into 2 21.162 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 21.163 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 21.163 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.163 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.163 * [taylor]: Taking taylor expansion of -1/2 in U 21.163 * [backup-simplify]: Simplify -1/2 into -1/2 21.163 * [taylor]: Taking taylor expansion of K in U 21.163 * [backup-simplify]: Simplify K into K 21.163 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.163 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.163 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.163 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 21.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.163 * [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 21.163 * [taylor]: Taking taylor expansion of (* 1 1) in U 21.163 * [taylor]: Taking taylor expansion of 1 in U 21.163 * [backup-simplify]: Simplify 1 into 1 21.163 * [taylor]: Taking taylor expansion of 1 in U 21.163 * [backup-simplify]: Simplify 1 into 1 21.163 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 21.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 21.163 * [taylor]: Taking taylor expansion of 1/2 in U 21.163 * [backup-simplify]: Simplify 1/2 into 1/2 21.163 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 21.163 * [taylor]: Taking taylor expansion of J in U 21.163 * [backup-simplify]: Simplify J into J 21.163 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.163 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.163 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.164 * [taylor]: Taking taylor expansion of -1/2 in U 21.164 * [backup-simplify]: Simplify -1/2 into -1/2 21.164 * [taylor]: Taking taylor expansion of K in U 21.164 * [backup-simplify]: Simplify K into K 21.164 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.164 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.164 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.164 * [taylor]: Taking taylor expansion of U in U 21.164 * [backup-simplify]: Simplify 0 into 0 21.164 * [backup-simplify]: Simplify 1 into 1 21.164 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.164 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.165 * [backup-simplify]: Simplify (- 0) into 0 21.165 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.165 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.165 * [backup-simplify]: Simplify (+ 0) into 0 21.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.168 * [backup-simplify]: Simplify (- 0) into 0 21.168 * [backup-simplify]: Simplify (+ 0 0) into 0 21.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.169 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 21.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 21.169 * [taylor]: Taking taylor expansion of 1/2 in U 21.169 * [backup-simplify]: Simplify 1/2 into 1/2 21.169 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 21.169 * [taylor]: Taking taylor expansion of J in U 21.169 * [backup-simplify]: Simplify J into J 21.169 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.169 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.169 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.169 * [taylor]: Taking taylor expansion of -1/2 in U 21.169 * [backup-simplify]: Simplify -1/2 into -1/2 21.169 * [taylor]: Taking taylor expansion of K in U 21.169 * [backup-simplify]: Simplify K into K 21.169 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.169 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.169 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.169 * [taylor]: Taking taylor expansion of U in U 21.169 * [backup-simplify]: Simplify 0 into 0 21.169 * [backup-simplify]: Simplify 1 into 1 21.169 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.170 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.170 * [backup-simplify]: Simplify (- 0) into 0 21.170 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.170 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.171 * [backup-simplify]: Simplify (+ 0) into 0 21.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.173 * [backup-simplify]: Simplify (- 0) into 0 21.174 * [backup-simplify]: Simplify (+ 0 0) into 0 21.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.174 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 21.174 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.174 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.175 * [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))) 21.175 * [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))) 21.175 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 21.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.178 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.179 * [backup-simplify]: Simplify (- 0) into 0 21.180 * [backup-simplify]: Simplify (+ 0 0) into 0 21.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.181 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 21.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.185 * [backup-simplify]: Simplify (- 0) into 0 21.186 * [backup-simplify]: Simplify (+ 0 0) into 0 21.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.187 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 21.188 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 21.188 * [backup-simplify]: Simplify (+ 0 0) into 0 21.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 21.189 * [taylor]: Taking taylor expansion of J in U 21.189 * [backup-simplify]: Simplify J into J 21.189 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.189 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.189 * [backup-simplify]: Simplify (- 0) into 0 21.189 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.190 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 21.190 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 21.190 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 21.190 * [taylor]: Taking taylor expansion of 2 in K 21.190 * [backup-simplify]: Simplify 2 into 2 21.190 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 21.190 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 21.190 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.190 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.190 * [taylor]: Taking taylor expansion of -1/2 in K 21.190 * [backup-simplify]: Simplify -1/2 into -1/2 21.190 * [taylor]: Taking taylor expansion of K in K 21.190 * [backup-simplify]: Simplify 0 into 0 21.190 * [backup-simplify]: Simplify 1 into 1 21.191 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.191 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.191 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 21.191 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.191 * [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 21.191 * [taylor]: Taking taylor expansion of (* 1 1) in K 21.191 * [taylor]: Taking taylor expansion of 1 in K 21.191 * [backup-simplify]: Simplify 1 into 1 21.191 * [taylor]: Taking taylor expansion of 1 in K 21.191 * [backup-simplify]: Simplify 1 into 1 21.191 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 21.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 21.191 * [taylor]: Taking taylor expansion of 1/2 in K 21.191 * [backup-simplify]: Simplify 1/2 into 1/2 21.191 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 21.191 * [taylor]: Taking taylor expansion of J in K 21.191 * [backup-simplify]: Simplify J into J 21.191 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 21.191 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.191 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.191 * [taylor]: Taking taylor expansion of -1/2 in K 21.191 * [backup-simplify]: Simplify -1/2 into -1/2 21.191 * [taylor]: Taking taylor expansion of K in K 21.191 * [backup-simplify]: Simplify 0 into 0 21.191 * [backup-simplify]: Simplify 1 into 1 21.192 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.192 * [taylor]: Taking taylor expansion of U in K 21.192 * [backup-simplify]: Simplify U into U 21.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.192 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 21.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 21.192 * [taylor]: Taking taylor expansion of 1/2 in K 21.192 * [backup-simplify]: Simplify 1/2 into 1/2 21.192 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 21.192 * [taylor]: Taking taylor expansion of J in K 21.192 * [backup-simplify]: Simplify J into J 21.192 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 21.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.193 * [taylor]: Taking taylor expansion of -1/2 in K 21.193 * [backup-simplify]: Simplify -1/2 into -1/2 21.193 * [taylor]: Taking taylor expansion of K in K 21.193 * [backup-simplify]: Simplify 0 into 0 21.193 * [backup-simplify]: Simplify 1 into 1 21.193 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.193 * [taylor]: Taking taylor expansion of U in K 21.193 * [backup-simplify]: Simplify U into U 21.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.193 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 21.194 * [backup-simplify]: Simplify (* 1 1) into 1 21.194 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 21.194 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 21.194 * [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)))) 21.194 * [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))))) 21.195 * [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)))))) 21.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.195 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 21.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.196 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 21.196 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 21.197 * [backup-simplify]: Simplify (+ 0 0) into 0 21.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 21.197 * [taylor]: Taking taylor expansion of J in K 21.197 * [backup-simplify]: Simplify J into J 21.197 * [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))))))) 21.198 * [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))))))) 21.198 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 21.198 * [taylor]: Taking taylor expansion of 2 in J 21.198 * [backup-simplify]: Simplify 2 into 2 21.198 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 21.198 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 21.198 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.198 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.198 * [taylor]: Taking taylor expansion of -1/2 in J 21.198 * [backup-simplify]: Simplify -1/2 into -1/2 21.198 * [taylor]: Taking taylor expansion of K in J 21.198 * [backup-simplify]: Simplify K into K 21.198 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.198 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.198 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.198 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 21.198 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.198 * [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 21.198 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.198 * [taylor]: Taking taylor expansion of 1 in J 21.198 * [backup-simplify]: Simplify 1 into 1 21.198 * [taylor]: Taking taylor expansion of 1 in J 21.198 * [backup-simplify]: Simplify 1 into 1 21.198 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 21.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.198 * [taylor]: Taking taylor expansion of 1/2 in J 21.198 * [backup-simplify]: Simplify 1/2 into 1/2 21.198 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.198 * [taylor]: Taking taylor expansion of J in J 21.198 * [backup-simplify]: Simplify 0 into 0 21.198 * [backup-simplify]: Simplify 1 into 1 21.198 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 21.198 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.198 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.198 * [taylor]: Taking taylor expansion of -1/2 in J 21.198 * [backup-simplify]: Simplify -1/2 into -1/2 21.198 * [taylor]: Taking taylor expansion of K in J 21.198 * [backup-simplify]: Simplify K into K 21.198 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.198 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.198 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.198 * [taylor]: Taking taylor expansion of U in J 21.198 * [backup-simplify]: Simplify U into U 21.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.198 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.199 * [backup-simplify]: Simplify (- 0) into 0 21.199 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.199 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.199 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.199 * [taylor]: Taking taylor expansion of 1/2 in J 21.199 * [backup-simplify]: Simplify 1/2 into 1/2 21.199 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.199 * [taylor]: Taking taylor expansion of J in J 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)) U) in J 21.199 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.199 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.199 * [taylor]: Taking taylor expansion of -1/2 in J 21.199 * [backup-simplify]: Simplify -1/2 into -1/2 21.199 * [taylor]: Taking taylor expansion of K in J 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 * [taylor]: Taking taylor expansion of U in J 21.199 * [backup-simplify]: Simplify U into U 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 (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.200 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.200 * [backup-simplify]: Simplify (* 1 1) into 1 21.200 * [backup-simplify]: Simplify (+ 1 0) into 1 21.201 * [backup-simplify]: Simplify (sqrt 1) into 1 21.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.201 * [backup-simplify]: Simplify (+ 0 0) into 0 21.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.202 * [taylor]: Taking taylor expansion of J in J 21.202 * [backup-simplify]: Simplify 0 into 0 21.202 * [backup-simplify]: Simplify 1 into 1 21.202 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.202 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.202 * [backup-simplify]: Simplify (- 0) into 0 21.202 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.202 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.202 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.202 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 21.202 * [taylor]: Taking taylor expansion of 2 in J 21.202 * [backup-simplify]: Simplify 2 into 2 21.202 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 21.202 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 21.202 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.203 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.203 * [taylor]: Taking taylor expansion of -1/2 in J 21.203 * [backup-simplify]: Simplify -1/2 into -1/2 21.203 * [taylor]: Taking taylor expansion of K in J 21.203 * [backup-simplify]: Simplify K into K 21.203 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.203 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.203 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.203 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 21.203 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 21.203 * [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 21.203 * [taylor]: Taking taylor expansion of (* 1 1) in J 21.203 * [taylor]: Taking taylor expansion of 1 in J 21.203 * [backup-simplify]: Simplify 1 into 1 21.203 * [taylor]: Taking taylor expansion of 1 in J 21.203 * [backup-simplify]: Simplify 1 into 1 21.203 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 21.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.203 * [taylor]: Taking taylor expansion of 1/2 in J 21.203 * [backup-simplify]: Simplify 1/2 into 1/2 21.203 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.203 * [taylor]: Taking taylor expansion of J in J 21.203 * [backup-simplify]: Simplify 0 into 0 21.203 * [backup-simplify]: Simplify 1 into 1 21.203 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 21.203 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.203 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.203 * [taylor]: Taking taylor expansion of -1/2 in J 21.203 * [backup-simplify]: Simplify -1/2 into -1/2 21.203 * [taylor]: Taking taylor expansion of K in J 21.203 * [backup-simplify]: Simplify K into K 21.203 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.203 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.203 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.203 * [taylor]: Taking taylor expansion of U in J 21.203 * [backup-simplify]: Simplify U into U 21.203 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.203 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.204 * [backup-simplify]: Simplify (- 0) into 0 21.204 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.204 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.204 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.204 * [taylor]: Taking taylor expansion of 1/2 in J 21.204 * [backup-simplify]: Simplify 1/2 into 1/2 21.204 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.204 * [taylor]: Taking taylor expansion of J in J 21.204 * [backup-simplify]: Simplify 0 into 0 21.204 * [backup-simplify]: Simplify 1 into 1 21.204 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 21.204 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.204 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.204 * [taylor]: Taking taylor expansion of -1/2 in J 21.204 * [backup-simplify]: Simplify -1/2 into -1/2 21.204 * [taylor]: Taking taylor expansion of K in J 21.204 * [backup-simplify]: Simplify K into K 21.204 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.204 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.204 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.204 * [taylor]: Taking taylor expansion of U in J 21.204 * [backup-simplify]: Simplify U into U 21.204 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.204 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.204 * [backup-simplify]: Simplify (- 0) into 0 21.205 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.205 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.205 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.205 * [backup-simplify]: Simplify (* 1 1) into 1 21.205 * [backup-simplify]: Simplify (+ 1 0) into 1 21.205 * [backup-simplify]: Simplify (sqrt 1) into 1 21.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.206 * [backup-simplify]: Simplify (+ 0 0) into 0 21.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.207 * [taylor]: Taking taylor expansion of J in J 21.207 * [backup-simplify]: Simplify 0 into 0 21.207 * [backup-simplify]: Simplify 1 into 1 21.207 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.207 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.207 * [backup-simplify]: Simplify (- 0) into 0 21.207 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.207 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.207 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.207 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 21.207 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 21.207 * [taylor]: Taking taylor expansion of 2 in K 21.207 * [backup-simplify]: Simplify 2 into 2 21.207 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.207 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.207 * [taylor]: Taking taylor expansion of -1/2 in K 21.207 * [backup-simplify]: Simplify -1/2 into -1/2 21.207 * [taylor]: Taking taylor expansion of K in K 21.207 * [backup-simplify]: Simplify 0 into 0 21.207 * [backup-simplify]: Simplify 1 into 1 21.208 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.208 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.208 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 21.208 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 21.208 * [taylor]: Taking taylor expansion of 2 in U 21.208 * [backup-simplify]: Simplify 2 into 2 21.208 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.208 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.208 * [taylor]: Taking taylor expansion of -1/2 in U 21.208 * [backup-simplify]: Simplify -1/2 into -1/2 21.208 * [taylor]: Taking taylor expansion of K in U 21.208 * [backup-simplify]: Simplify K into K 21.208 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.208 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.208 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.208 * [backup-simplify]: Simplify (+ 0) into 0 21.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.210 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.210 * [backup-simplify]: Simplify (- 0) into 0 21.210 * [backup-simplify]: Simplify (+ 0 0) into 0 21.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 21.211 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 21.211 * [taylor]: Taking taylor expansion of 0 in K 21.211 * [backup-simplify]: Simplify 0 into 0 21.211 * [taylor]: Taking taylor expansion of 0 in U 21.211 * [backup-simplify]: Simplify 0 into 0 21.212 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 21.212 * [taylor]: Taking taylor expansion of 0 in U 21.212 * [backup-simplify]: Simplify 0 into 0 21.212 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.212 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.212 * [backup-simplify]: Simplify (- 0) into 0 21.212 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.212 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 21.212 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 21.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.213 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 21.213 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 21.213 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 21.213 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 21.214 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 21.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.217 * [backup-simplify]: Simplify (- 0) into 0 21.217 * [backup-simplify]: Simplify (+ 0 0) into 0 21.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 21.222 * [backup-simplify]: Simplify (- (/ (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 21.223 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 21.223 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 21.223 * [taylor]: Taking taylor expansion of 1/4 in K 21.223 * [backup-simplify]: Simplify 1/4 into 1/4 21.223 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 21.223 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 21.223 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.223 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.223 * [taylor]: Taking taylor expansion of -1/2 in K 21.223 * [backup-simplify]: Simplify -1/2 into -1/2 21.223 * [taylor]: Taking taylor expansion of K in K 21.223 * [backup-simplify]: Simplify 0 into 0 21.223 * [backup-simplify]: Simplify 1 into 1 21.224 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.224 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.224 * [taylor]: Taking taylor expansion of (pow U 2) in K 21.224 * [taylor]: Taking taylor expansion of U in K 21.224 * [backup-simplify]: Simplify U into U 21.224 * [backup-simplify]: Simplify (* U U) into (pow U 2) 21.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 21.224 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 21.224 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 21.224 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 21.224 * [taylor]: Taking taylor expansion of 1/4 in U 21.224 * [backup-simplify]: Simplify 1/4 into 1/4 21.224 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 21.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.224 * [taylor]: Taking taylor expansion of -1/2 in U 21.224 * [backup-simplify]: Simplify -1/2 into -1/2 21.225 * [taylor]: Taking taylor expansion of K in U 21.225 * [backup-simplify]: Simplify K into K 21.225 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.225 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.225 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.225 * [taylor]: Taking taylor expansion of (pow U 2) in U 21.225 * [taylor]: Taking taylor expansion of U in U 21.225 * [backup-simplify]: Simplify 0 into 0 21.225 * [backup-simplify]: Simplify 1 into 1 21.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.225 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.225 * [backup-simplify]: Simplify (- 0) into 0 21.225 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.226 * [backup-simplify]: Simplify (* 1 1) into 1 21.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.226 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 21.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.227 * [backup-simplify]: Simplify (+ 0) into 0 21.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.228 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.229 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.229 * [backup-simplify]: Simplify (- 0) into 0 21.229 * [backup-simplify]: Simplify (+ 0 0) into 0 21.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.230 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.230 * [backup-simplify]: Simplify 0 into 0 21.230 * [taylor]: Taking taylor expansion of 0 in U 21.230 * [backup-simplify]: Simplify 0 into 0 21.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 21.231 * [taylor]: Taking taylor expansion of 0 in U 21.231 * [backup-simplify]: Simplify 0 into 0 21.231 * [backup-simplify]: Simplify 0 into 0 21.231 * [backup-simplify]: Simplify 0 into 0 21.232 * [backup-simplify]: Simplify (+ 0) into 0 21.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 21.235 * [backup-simplify]: Simplify 0 into 0 21.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.236 * [backup-simplify]: Simplify (+ 0) into 0 21.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.237 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.239 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.239 * [backup-simplify]: Simplify (- 0) into 0 21.239 * [backup-simplify]: Simplify (+ 0 0) into 0 21.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.240 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) U)))) into 0 21.241 * [backup-simplify]: Simplify (+ 0) into 0 21.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.243 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.244 * [backup-simplify]: Simplify (- 0) into 0 21.244 * [backup-simplify]: Simplify (+ 0 0) into 0 21.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.245 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) U)))) into 0 21.245 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0 21.246 * [backup-simplify]: Simplify (+ 0 0) into 0 21.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 21.247 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.248 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.249 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.249 * [backup-simplify]: Simplify (- 0) into 0 21.249 * [backup-simplify]: Simplify (+ 0 0) into 0 21.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 21.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) (/ 0 1)))) into 0 21.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 21.252 * [taylor]: Taking taylor expansion of 0 in K 21.252 * [backup-simplify]: Simplify 0 into 0 21.252 * [taylor]: Taking taylor expansion of 0 in U 21.252 * [backup-simplify]: Simplify 0 into 0 21.252 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 21.252 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 21.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 21.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 21.253 * [taylor]: Taking taylor expansion of 0 in U 21.253 * [backup-simplify]: Simplify 0 into 0 21.253 * [taylor]: Taking taylor expansion of 0 in U 21.253 * [backup-simplify]: Simplify 0 into 0 21.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 21.253 * [taylor]: Taking taylor expansion of 0 in U 21.254 * [backup-simplify]: Simplify 0 into 0 21.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.255 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.256 * [backup-simplify]: Simplify (- 0) into 0 21.256 * [backup-simplify]: Simplify (+ 0 0) into 0 21.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.257 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 21.257 * [backup-simplify]: Simplify 0 into 0 21.257 * [backup-simplify]: Simplify 0 into 0 21.257 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 21.257 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 21.258 * [backup-simplify]: Simplify (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 21.258 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (J K U) around 0 21.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 21.258 * [taylor]: Taking taylor expansion of 1/2 in U 21.258 * [backup-simplify]: Simplify 1/2 into 1/2 21.258 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 21.258 * [taylor]: Taking taylor expansion of U in U 21.258 * [backup-simplify]: Simplify 0 into 0 21.258 * [backup-simplify]: Simplify 1 into 1 21.258 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 21.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 21.258 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 21.258 * [taylor]: Taking taylor expansion of 1/2 in U 21.258 * [backup-simplify]: Simplify 1/2 into 1/2 21.258 * [taylor]: Taking taylor expansion of K in U 21.258 * [backup-simplify]: Simplify K into K 21.258 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.258 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.258 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.258 * [taylor]: Taking taylor expansion of J in U 21.258 * [backup-simplify]: Simplify J into J 21.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.258 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.258 * [backup-simplify]: Simplify (- 0) into 0 21.258 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 21.258 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 21.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 21.259 * [taylor]: Taking taylor expansion of 1/2 in K 21.259 * [backup-simplify]: Simplify 1/2 into 1/2 21.259 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 21.259 * [taylor]: Taking taylor expansion of U in K 21.259 * [backup-simplify]: Simplify U into U 21.259 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.259 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.259 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.259 * [taylor]: Taking taylor expansion of 1/2 in K 21.259 * [backup-simplify]: Simplify 1/2 into 1/2 21.259 * [taylor]: Taking taylor expansion of K in K 21.259 * [backup-simplify]: Simplify 0 into 0 21.259 * [backup-simplify]: Simplify 1 into 1 21.259 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.259 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.259 * [taylor]: Taking taylor expansion of J in K 21.259 * [backup-simplify]: Simplify J into J 21.260 * [backup-simplify]: Simplify (* 1 J) into J 21.260 * [backup-simplify]: Simplify (/ U J) into (/ U J) 21.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.260 * [taylor]: Taking taylor expansion of 1/2 in J 21.260 * [backup-simplify]: Simplify 1/2 into 1/2 21.260 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.260 * [taylor]: Taking taylor expansion of U in J 21.260 * [backup-simplify]: Simplify U into U 21.260 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.260 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.260 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.260 * [taylor]: Taking taylor expansion of 1/2 in J 21.260 * [backup-simplify]: Simplify 1/2 into 1/2 21.260 * [taylor]: Taking taylor expansion of K in J 21.260 * [backup-simplify]: Simplify K into K 21.260 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.260 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.260 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.260 * [taylor]: Taking taylor expansion of J in J 21.260 * [backup-simplify]: Simplify 0 into 0 21.260 * [backup-simplify]: Simplify 1 into 1 21.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.260 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.260 * [backup-simplify]: Simplify (- 0) into 0 21.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.261 * [backup-simplify]: Simplify (+ 0) into 0 21.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.262 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.263 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 21.263 * [taylor]: Taking taylor expansion of 1/2 in J 21.263 * [backup-simplify]: Simplify 1/2 into 1/2 21.263 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 21.263 * [taylor]: Taking taylor expansion of U in J 21.263 * [backup-simplify]: Simplify U into U 21.263 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.263 * [taylor]: Taking taylor expansion of 1/2 in J 21.263 * [backup-simplify]: Simplify 1/2 into 1/2 21.263 * [taylor]: Taking taylor expansion of K in J 21.263 * [backup-simplify]: Simplify K into K 21.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.263 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.263 * [taylor]: Taking taylor expansion of J in J 21.263 * [backup-simplify]: Simplify 0 into 0 21.263 * [backup-simplify]: Simplify 1 into 1 21.263 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.263 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.264 * [backup-simplify]: Simplify (- 0) into 0 21.264 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.264 * [backup-simplify]: Simplify (+ 0) into 0 21.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.265 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.266 * [backup-simplify]: Simplify (- 0) into 0 21.266 * [backup-simplify]: Simplify (+ 0 0) into 0 21.266 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.266 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 21.266 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 21.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (cos (* 1/2 K)))) in K 21.266 * [taylor]: Taking taylor expansion of 1/2 in K 21.266 * [backup-simplify]: Simplify 1/2 into 1/2 21.266 * [taylor]: Taking taylor expansion of (/ U (cos (* 1/2 K))) in K 21.266 * [taylor]: Taking taylor expansion of U in K 21.266 * [backup-simplify]: Simplify U into U 21.266 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.266 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.266 * [taylor]: Taking taylor expansion of 1/2 in K 21.266 * [backup-simplify]: Simplify 1/2 into 1/2 21.266 * [taylor]: Taking taylor expansion of K in K 21.266 * [backup-simplify]: Simplify 0 into 0 21.266 * [backup-simplify]: Simplify 1 into 1 21.267 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.267 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.267 * [backup-simplify]: Simplify (/ U 1) into U 21.267 * [backup-simplify]: Simplify (* 1/2 U) into (* 1/2 U) 21.267 * [taylor]: Taking taylor expansion of (* 1/2 U) in U 21.267 * [taylor]: Taking taylor expansion of 1/2 in U 21.267 * [backup-simplify]: Simplify 1/2 into 1/2 21.267 * [taylor]: Taking taylor expansion of U in U 21.267 * [backup-simplify]: Simplify 0 into 0 21.267 * [backup-simplify]: Simplify 1 into 1 21.268 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.268 * [backup-simplify]: Simplify 1/2 into 1/2 21.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.269 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.270 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.270 * [backup-simplify]: Simplify (- 0) into 0 21.271 * [backup-simplify]: Simplify (+ 0 0) into 0 21.271 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.271 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 21.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 21.272 * [taylor]: Taking taylor expansion of 0 in K 21.272 * [backup-simplify]: Simplify 0 into 0 21.272 * [taylor]: Taking taylor expansion of 0 in U 21.272 * [backup-simplify]: Simplify 0 into 0 21.272 * [backup-simplify]: Simplify 0 into 0 21.272 * [backup-simplify]: Simplify (+ 0) into 0 21.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* U (/ 0 1)))) into 0 21.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 U)) into 0 21.273 * [taylor]: Taking taylor expansion of 0 in U 21.273 * [backup-simplify]: Simplify 0 into 0 21.273 * [backup-simplify]: Simplify 0 into 0 21.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 21.274 * [backup-simplify]: Simplify 0 into 0 21.275 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 21.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.278 * [backup-simplify]: Simplify (- 0) into 0 21.279 * [backup-simplify]: Simplify (+ 0 0) into 0 21.279 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.279 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 21.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ U (cos (* 1/2 K)))))) into 0 21.280 * [taylor]: Taking taylor expansion of 0 in K 21.280 * [backup-simplify]: Simplify 0 into 0 21.280 * [taylor]: Taking taylor expansion of 0 in U 21.280 * [backup-simplify]: Simplify 0 into 0 21.280 * [backup-simplify]: Simplify 0 into 0 21.280 * [taylor]: Taking taylor expansion of 0 in U 21.280 * [backup-simplify]: Simplify 0 into 0 21.280 * [backup-simplify]: Simplify 0 into 0 21.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 21.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* U (/ -1/8 1)) (* 0 (/ 0 1)))) into (* 1/8 U) 21.282 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/8 U)) (+ (* 0 0) (* 0 U))) into (* 1/16 U) 21.282 * [taylor]: Taking taylor expansion of (* 1/16 U) in U 21.282 * [taylor]: Taking taylor expansion of 1/16 in U 21.282 * [backup-simplify]: Simplify 1/16 into 1/16 21.282 * [taylor]: Taking taylor expansion of U in U 21.282 * [backup-simplify]: Simplify 0 into 0 21.282 * [backup-simplify]: Simplify 1 into 1 21.282 * [backup-simplify]: Simplify (+ (* 1/16 1) (* 0 0)) into 1/16 21.283 * [backup-simplify]: Simplify 1/16 into 1/16 21.283 * [backup-simplify]: Simplify 0 into 0 21.283 * [backup-simplify]: Simplify 0 into 0 21.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.283 * [backup-simplify]: Simplify 0 into 0 21.285 * [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 21.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 21.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 21.288 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 21.288 * [backup-simplify]: Simplify (- 0) into 0 21.288 * [backup-simplify]: Simplify (+ 0 0) into 0 21.289 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.289 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 21.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ U (cos (* 1/2 K))))))) into 0 21.290 * [taylor]: Taking taylor expansion of 0 in K 21.290 * [backup-simplify]: Simplify 0 into 0 21.290 * [taylor]: Taking taylor expansion of 0 in U 21.290 * [backup-simplify]: Simplify 0 into 0 21.290 * [backup-simplify]: Simplify 0 into 0 21.290 * [taylor]: Taking taylor expansion of 0 in U 21.290 * [backup-simplify]: Simplify 0 into 0 21.290 * [backup-simplify]: Simplify 0 into 0 21.290 * [taylor]: Taking taylor expansion of 0 in U 21.290 * [backup-simplify]: Simplify 0 into 0 21.290 * [backup-simplify]: Simplify 0 into 0 21.290 * [backup-simplify]: Simplify (+ (* 1/16 (* U (* (pow K 2) (/ 1 J)))) (* 1/2 (* U (* 1 (/ 1 J))))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 21.290 * [backup-simplify]: Simplify (/ 1 (/ (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) (/ 1 U))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 21.290 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (J K U) around 0 21.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 21.291 * [taylor]: Taking taylor expansion of 1/2 in U 21.291 * [backup-simplify]: Simplify 1/2 into 1/2 21.291 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 21.291 * [taylor]: Taking taylor expansion of J in U 21.291 * [backup-simplify]: Simplify J into J 21.291 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.291 * [taylor]: Taking taylor expansion of U in U 21.291 * [backup-simplify]: Simplify 0 into 0 21.291 * [backup-simplify]: Simplify 1 into 1 21.291 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.291 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.291 * [taylor]: Taking taylor expansion of 1/2 in U 21.291 * [backup-simplify]: Simplify 1/2 into 1/2 21.291 * [taylor]: Taking taylor expansion of K in U 21.291 * [backup-simplify]: Simplify K into K 21.291 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.291 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.291 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.291 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.291 * [backup-simplify]: Simplify (- 0) into 0 21.291 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.291 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.292 * [backup-simplify]: Simplify (+ 0) into 0 21.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.293 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.293 * [backup-simplify]: Simplify (- 0) into 0 21.293 * [backup-simplify]: Simplify (+ 0 0) into 0 21.294 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.294 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 21.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 21.294 * [taylor]: Taking taylor expansion of 1/2 in K 21.294 * [backup-simplify]: Simplify 1/2 into 1/2 21.294 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 21.294 * [taylor]: Taking taylor expansion of J in K 21.294 * [backup-simplify]: Simplify J into J 21.294 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 21.294 * [taylor]: Taking taylor expansion of U in K 21.294 * [backup-simplify]: Simplify U into U 21.294 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.294 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.294 * [taylor]: Taking taylor expansion of 1/2 in K 21.294 * [backup-simplify]: Simplify 1/2 into 1/2 21.294 * [taylor]: Taking taylor expansion of K in K 21.294 * [backup-simplify]: Simplify 0 into 0 21.294 * [backup-simplify]: Simplify 1 into 1 21.294 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.294 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.294 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.294 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 21.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.294 * [taylor]: Taking taylor expansion of 1/2 in J 21.294 * [backup-simplify]: Simplify 1/2 into 1/2 21.294 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.294 * [taylor]: Taking taylor expansion of J in J 21.294 * [backup-simplify]: Simplify 0 into 0 21.294 * [backup-simplify]: Simplify 1 into 1 21.294 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.294 * [taylor]: Taking taylor expansion of U in J 21.295 * [backup-simplify]: Simplify U into U 21.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.295 * [taylor]: Taking taylor expansion of 1/2 in J 21.295 * [backup-simplify]: Simplify 1/2 into 1/2 21.295 * [taylor]: Taking taylor expansion of K in J 21.295 * [backup-simplify]: Simplify K into K 21.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.295 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.295 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.295 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.295 * [backup-simplify]: Simplify (- 0) into 0 21.295 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.295 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.295 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 21.295 * [taylor]: Taking taylor expansion of 1/2 in J 21.295 * [backup-simplify]: Simplify 1/2 into 1/2 21.295 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 21.295 * [taylor]: Taking taylor expansion of J in J 21.295 * [backup-simplify]: Simplify 0 into 0 21.295 * [backup-simplify]: Simplify 1 into 1 21.295 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 21.295 * [taylor]: Taking taylor expansion of U in J 21.295 * [backup-simplify]: Simplify U into U 21.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.295 * [taylor]: Taking taylor expansion of 1/2 in J 21.295 * [backup-simplify]: Simplify 1/2 into 1/2 21.295 * [taylor]: Taking taylor expansion of K in J 21.295 * [backup-simplify]: Simplify K into K 21.296 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.296 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.296 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.296 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.296 * [backup-simplify]: Simplify (- 0) into 0 21.296 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.296 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.296 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 21.296 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 21.296 * [taylor]: Taking taylor expansion of (/ 1/2 (* U (cos (/ 1/2 K)))) in K 21.296 * [taylor]: Taking taylor expansion of 1/2 in K 21.296 * [backup-simplify]: Simplify 1/2 into 1/2 21.296 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 21.296 * [taylor]: Taking taylor expansion of U in K 21.296 * [backup-simplify]: Simplify U into U 21.296 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.296 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.296 * [taylor]: Taking taylor expansion of 1/2 in K 21.296 * [backup-simplify]: Simplify 1/2 into 1/2 21.296 * [taylor]: Taking taylor expansion of K in K 21.296 * [backup-simplify]: Simplify 0 into 0 21.296 * [backup-simplify]: Simplify 1 into 1 21.297 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.297 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.297 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 21.297 * [backup-simplify]: Simplify (/ 1/2 (* U (cos (/ 1/2 K)))) into (/ 1/2 (* U (cos (/ 1/2 K)))) 21.297 * [taylor]: Taking taylor expansion of (/ 1/2 (* U (cos (/ 1/2 K)))) in U 21.297 * [taylor]: Taking taylor expansion of 1/2 in U 21.297 * [backup-simplify]: Simplify 1/2 into 1/2 21.297 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 21.297 * [taylor]: Taking taylor expansion of U in U 21.297 * [backup-simplify]: Simplify 0 into 0 21.297 * [backup-simplify]: Simplify 1 into 1 21.297 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 21.297 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 21.297 * [taylor]: Taking taylor expansion of 1/2 in U 21.297 * [backup-simplify]: Simplify 1/2 into 1/2 21.297 * [taylor]: Taking taylor expansion of K in U 21.297 * [backup-simplify]: Simplify K into K 21.297 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.297 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.297 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.298 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.298 * [backup-simplify]: Simplify (- 0) into 0 21.298 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.298 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 21.298 * [backup-simplify]: Simplify (+ 0) into 0 21.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.300 * [backup-simplify]: Simplify (- 0) into 0 21.300 * [backup-simplify]: Simplify (+ 0 0) into 0 21.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 21.300 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 21.300 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 21.301 * [backup-simplify]: Simplify (+ 0) into 0 21.301 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.302 * [backup-simplify]: Simplify (- 0) into 0 21.303 * [backup-simplify]: Simplify (+ 0 0) into 0 21.303 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.303 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* U (cos (/ 1/2 K)))))) into 0 21.304 * [taylor]: Taking taylor expansion of 0 in K 21.304 * [backup-simplify]: Simplify 0 into 0 21.304 * [taylor]: Taking taylor expansion of 0 in U 21.304 * [backup-simplify]: Simplify 0 into 0 21.304 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 21.304 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.304 * [taylor]: Taking taylor expansion of 0 in U 21.304 * [backup-simplify]: Simplify 0 into 0 21.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.308 * [backup-simplify]: Simplify (- 0) into 0 21.308 * [backup-simplify]: Simplify (+ 0 0) into 0 21.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 21.309 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 21.309 * [backup-simplify]: Simplify 0 into 0 21.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.313 * [backup-simplify]: Simplify (- 0) into 0 21.313 * [backup-simplify]: Simplify (+ 0 0) into 0 21.314 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.314 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* U (cos (/ 1/2 K))))))) into 0 21.315 * [taylor]: Taking taylor expansion of 0 in K 21.315 * [backup-simplify]: Simplify 0 into 0 21.316 * [taylor]: Taking taylor expansion of 0 in U 21.316 * [backup-simplify]: Simplify 0 into 0 21.316 * [taylor]: Taking taylor expansion of 0 in U 21.316 * [backup-simplify]: Simplify 0 into 0 21.316 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.317 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.317 * [taylor]: Taking taylor expansion of 0 in U 21.317 * [backup-simplify]: Simplify 0 into 0 21.317 * [backup-simplify]: Simplify 0 into 0 21.317 * [backup-simplify]: Simplify 0 into 0 21.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.319 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.322 * [backup-simplify]: Simplify (- 0) into 0 21.322 * [backup-simplify]: Simplify (+ 0 0) into 0 21.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.324 * [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 21.324 * [backup-simplify]: Simplify 0 into 0 21.325 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.327 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.329 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.329 * [backup-simplify]: Simplify (- 0) into 0 21.330 * [backup-simplify]: Simplify (+ 0 0) into 0 21.331 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.331 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* U (cos (/ 1/2 K)))))))) into 0 21.333 * [taylor]: Taking taylor expansion of 0 in K 21.333 * [backup-simplify]: Simplify 0 into 0 21.333 * [taylor]: Taking taylor expansion of 0 in U 21.333 * [backup-simplify]: Simplify 0 into 0 21.333 * [taylor]: Taking taylor expansion of 0 in U 21.333 * [backup-simplify]: Simplify 0 into 0 21.333 * [taylor]: Taking taylor expansion of 0 in U 21.333 * [backup-simplify]: Simplify 0 into 0 21.334 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.334 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (cos (/ 1/2 K))))))) into 0 21.335 * [taylor]: Taking taylor expansion of 0 in U 21.335 * [backup-simplify]: Simplify 0 into 0 21.335 * [backup-simplify]: Simplify 0 into 0 21.335 * [backup-simplify]: Simplify 0 into 0 21.335 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 U)) (* 1 (/ 1 J)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 21.335 * [backup-simplify]: Simplify (/ 1 (/ (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 21.335 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (J K U) around 0 21.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 21.335 * [taylor]: Taking taylor expansion of 1/2 in U 21.335 * [backup-simplify]: Simplify 1/2 into 1/2 21.335 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 21.335 * [taylor]: Taking taylor expansion of J in U 21.335 * [backup-simplify]: Simplify J into J 21.335 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.335 * [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)) 21.336 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.336 * [taylor]: Taking taylor expansion of U in U 21.336 * [backup-simplify]: Simplify 0 into 0 21.336 * [backup-simplify]: Simplify 1 into 1 21.336 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.336 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.341 * [backup-simplify]: Simplify (- 0) into 0 21.341 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.342 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.342 * [backup-simplify]: Simplify (+ 0) into 0 21.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.345 * [backup-simplify]: Simplify (- 0) into 0 21.345 * [backup-simplify]: Simplify (+ 0 0) into 0 21.346 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.346 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 21.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 21.346 * [taylor]: Taking taylor expansion of 1/2 in K 21.346 * [backup-simplify]: Simplify 1/2 into 1/2 21.346 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 21.346 * [taylor]: Taking taylor expansion of J in K 21.346 * [backup-simplify]: Simplify J into J 21.346 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 21.346 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.346 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.346 * [taylor]: Taking taylor expansion of -1/2 in K 21.346 * [backup-simplify]: Simplify -1/2 into -1/2 21.346 * [taylor]: Taking taylor expansion of K in K 21.346 * [backup-simplify]: Simplify 0 into 0 21.346 * [backup-simplify]: Simplify 1 into 1 21.347 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.347 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.347 * [taylor]: Taking taylor expansion of U in K 21.347 * [backup-simplify]: Simplify U into U 21.347 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.348 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 21.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.348 * [taylor]: Taking taylor expansion of 1/2 in J 21.348 * [backup-simplify]: Simplify 1/2 into 1/2 21.348 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.348 * [taylor]: Taking taylor expansion of J in J 21.348 * [backup-simplify]: Simplify 0 into 0 21.348 * [backup-simplify]: Simplify 1 into 1 21.348 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 21.348 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.348 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.348 * [taylor]: Taking taylor expansion of -1/2 in J 21.348 * [backup-simplify]: Simplify -1/2 into -1/2 21.348 * [taylor]: Taking taylor expansion of K in J 21.348 * [backup-simplify]: Simplify K into K 21.348 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.348 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.348 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.348 * [taylor]: Taking taylor expansion of U in J 21.348 * [backup-simplify]: Simplify U into U 21.348 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.348 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.349 * [backup-simplify]: Simplify (- 0) into 0 21.349 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.349 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.349 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 21.349 * [taylor]: Taking taylor expansion of 1/2 in J 21.349 * [backup-simplify]: Simplify 1/2 into 1/2 21.349 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 21.349 * [taylor]: Taking taylor expansion of J in J 21.349 * [backup-simplify]: Simplify 0 into 0 21.349 * [backup-simplify]: Simplify 1 into 1 21.349 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 21.349 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.350 * [taylor]: Taking taylor expansion of -1/2 in J 21.350 * [backup-simplify]: Simplify -1/2 into -1/2 21.350 * [taylor]: Taking taylor expansion of K in J 21.350 * [backup-simplify]: Simplify K into K 21.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.350 * [taylor]: Taking taylor expansion of U in J 21.350 * [backup-simplify]: Simplify U into U 21.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.350 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.351 * [backup-simplify]: Simplify (- 0) into 0 21.351 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.351 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 21.351 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 21.351 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in K 21.351 * [taylor]: Taking taylor expansion of 1/2 in K 21.351 * [backup-simplify]: Simplify 1/2 into 1/2 21.351 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 21.351 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.351 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.351 * [taylor]: Taking taylor expansion of -1/2 in K 21.351 * [backup-simplify]: Simplify -1/2 into -1/2 21.351 * [taylor]: Taking taylor expansion of K in K 21.351 * [backup-simplify]: Simplify 0 into 0 21.351 * [backup-simplify]: Simplify 1 into 1 21.352 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.352 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.352 * [taylor]: Taking taylor expansion of U in K 21.352 * [backup-simplify]: Simplify U into U 21.352 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 21.352 * [backup-simplify]: Simplify (/ 1/2 (* (cos (/ -1/2 K)) U)) into (/ 1/2 (* (cos (/ -1/2 K)) U)) 21.352 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in U 21.352 * [taylor]: Taking taylor expansion of 1/2 in U 21.352 * [backup-simplify]: Simplify 1/2 into 1/2 21.352 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 21.353 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 21.353 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 21.353 * [taylor]: Taking taylor expansion of -1/2 in U 21.353 * [backup-simplify]: Simplify -1/2 into -1/2 21.353 * [taylor]: Taking taylor expansion of K in U 21.353 * [backup-simplify]: Simplify K into K 21.353 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.353 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.353 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.353 * [taylor]: Taking taylor expansion of U in U 21.353 * [backup-simplify]: Simplify 0 into 0 21.353 * [backup-simplify]: Simplify 1 into 1 21.353 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.353 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.354 * [backup-simplify]: Simplify (- 0) into 0 21.354 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.354 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 21.354 * [backup-simplify]: Simplify (+ 0) into 0 21.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.357 * [backup-simplify]: Simplify (- 0) into 0 21.358 * [backup-simplify]: Simplify (+ 0 0) into 0 21.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 21.358 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 21.358 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 21.359 * [backup-simplify]: Simplify (+ 0) into 0 21.359 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.360 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.361 * [backup-simplify]: Simplify (- 0) into 0 21.362 * [backup-simplify]: Simplify (+ 0 0) into 0 21.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.362 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) U)))) into 0 21.363 * [taylor]: Taking taylor expansion of 0 in K 21.363 * [backup-simplify]: Simplify 0 into 0 21.363 * [taylor]: Taking taylor expansion of 0 in U 21.363 * [backup-simplify]: Simplify 0 into 0 21.363 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 21.364 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.364 * [taylor]: Taking taylor expansion of 0 in U 21.364 * [backup-simplify]: Simplify 0 into 0 21.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.367 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.367 * [backup-simplify]: Simplify (- 0) into 0 21.368 * [backup-simplify]: Simplify (+ 0 0) into 0 21.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.369 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 21.369 * [backup-simplify]: Simplify 0 into 0 21.370 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.372 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.373 * [backup-simplify]: Simplify (- 0) into 0 21.373 * [backup-simplify]: Simplify (+ 0 0) into 0 21.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 21.374 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) U))))) into 0 21.375 * [taylor]: Taking taylor expansion of 0 in K 21.375 * [backup-simplify]: Simplify 0 into 0 21.375 * [taylor]: Taking taylor expansion of 0 in U 21.375 * [backup-simplify]: Simplify 0 into 0 21.375 * [taylor]: Taking taylor expansion of 0 in U 21.375 * [backup-simplify]: Simplify 0 into 0 21.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 21.376 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.376 * [taylor]: Taking taylor expansion of 0 in U 21.376 * [backup-simplify]: Simplify 0 into 0 21.377 * [backup-simplify]: Simplify 0 into 0 21.377 * [backup-simplify]: Simplify 0 into 0 21.378 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.379 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.382 * [backup-simplify]: Simplify (- 0) into 0 21.382 * [backup-simplify]: Simplify (+ 0 0) into 0 21.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.383 * [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 21.383 * [backup-simplify]: Simplify 0 into 0 21.384 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.388 * [backup-simplify]: Simplify (- 0) into 0 21.389 * [backup-simplify]: Simplify (+ 0 0) into 0 21.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 21.390 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) U)))))) into 0 21.391 * [taylor]: Taking taylor expansion of 0 in K 21.391 * [backup-simplify]: Simplify 0 into 0 21.391 * [taylor]: Taking taylor expansion of 0 in U 21.391 * [backup-simplify]: Simplify 0 into 0 21.391 * [taylor]: Taking taylor expansion of 0 in U 21.391 * [backup-simplify]: Simplify 0 into 0 21.391 * [taylor]: Taking taylor expansion of 0 in U 21.391 * [backup-simplify]: Simplify 0 into 0 21.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 21.392 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 21.392 * [taylor]: Taking taylor expansion of 0 in U 21.392 * [backup-simplify]: Simplify 0 into 0 21.392 * [backup-simplify]: Simplify 0 into 0 21.392 * [backup-simplify]: Simplify 0 into 0 21.392 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- U))) (* 1 (/ 1 (- J))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 21.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 21.392 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 21.392 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 21.392 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 21.392 * [taylor]: Taking taylor expansion of 2 in K 21.392 * [backup-simplify]: Simplify 2 into 2 21.392 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.392 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.392 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.392 * [taylor]: Taking taylor expansion of 1/2 in K 21.392 * [backup-simplify]: Simplify 1/2 into 1/2 21.392 * [taylor]: Taking taylor expansion of K in K 21.393 * [backup-simplify]: Simplify 0 into 0 21.393 * [backup-simplify]: Simplify 1 into 1 21.393 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.393 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.393 * [taylor]: Taking taylor expansion of J in K 21.393 * [backup-simplify]: Simplify J into J 21.393 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 21.393 * [taylor]: Taking taylor expansion of 2 in J 21.393 * [backup-simplify]: Simplify 2 into 2 21.394 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.394 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.394 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.394 * [taylor]: Taking taylor expansion of 1/2 in J 21.394 * [backup-simplify]: Simplify 1/2 into 1/2 21.394 * [taylor]: Taking taylor expansion of K in J 21.394 * [backup-simplify]: Simplify K into K 21.394 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.394 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.394 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.394 * [taylor]: Taking taylor expansion of J in J 21.394 * [backup-simplify]: Simplify 0 into 0 21.394 * [backup-simplify]: Simplify 1 into 1 21.394 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 21.394 * [taylor]: Taking taylor expansion of 2 in J 21.394 * [backup-simplify]: Simplify 2 into 2 21.394 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.394 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.394 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.394 * [taylor]: Taking taylor expansion of 1/2 in J 21.394 * [backup-simplify]: Simplify 1/2 into 1/2 21.394 * [taylor]: Taking taylor expansion of K in J 21.394 * [backup-simplify]: Simplify K into K 21.394 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.394 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.394 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.394 * [taylor]: Taking taylor expansion of J in J 21.394 * [backup-simplify]: Simplify 0 into 0 21.394 * [backup-simplify]: Simplify 1 into 1 21.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 21.394 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 21.394 * [backup-simplify]: Simplify (- 0) into 0 21.395 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 21.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 21.395 * [backup-simplify]: Simplify (* 2 0) into 0 21.395 * [taylor]: Taking taylor expansion of 0 in K 21.395 * [backup-simplify]: Simplify 0 into 0 21.395 * [backup-simplify]: Simplify 0 into 0 21.395 * [backup-simplify]: Simplify (+ 0) into 0 21.396 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 21.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 21.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.397 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 21.397 * [backup-simplify]: Simplify (- 0) into 0 21.397 * [backup-simplify]: Simplify (+ 0 0) into 0 21.398 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 21.398 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 21.398 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 21.398 * [taylor]: Taking taylor expansion of 2 in K 21.398 * [backup-simplify]: Simplify 2 into 2 21.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.398 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.398 * [taylor]: Taking taylor expansion of 1/2 in K 21.398 * [backup-simplify]: Simplify 1/2 into 1/2 21.398 * [taylor]: Taking taylor expansion of K in K 21.398 * [backup-simplify]: Simplify 0 into 0 21.398 * [backup-simplify]: Simplify 1 into 1 21.398 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.399 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.399 * [backup-simplify]: Simplify (* 2 1) into 2 21.399 * [backup-simplify]: Simplify 2 into 2 21.399 * [backup-simplify]: Simplify 0 into 0 21.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.400 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 21.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.401 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.402 * [backup-simplify]: Simplify (- 0) into 0 21.402 * [backup-simplify]: Simplify (+ 0 0) into 0 21.402 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 21.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 21.403 * [taylor]: Taking taylor expansion of 0 in K 21.403 * [backup-simplify]: Simplify 0 into 0 21.403 * [backup-simplify]: Simplify 0 into 0 21.403 * [backup-simplify]: Simplify (+ 0) into 0 21.404 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 21.404 * [backup-simplify]: Simplify 0 into 0 21.404 * [backup-simplify]: Simplify 0 into 0 21.404 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 21.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.407 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.407 * [backup-simplify]: Simplify (- 0) into 0 21.407 * [backup-simplify]: Simplify (+ 0 0) into 0 21.408 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 21.409 * [taylor]: Taking taylor expansion of 0 in K 21.409 * [backup-simplify]: Simplify 0 into 0 21.409 * [backup-simplify]: Simplify 0 into 0 21.409 * [backup-simplify]: Simplify 0 into 0 21.409 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 21.409 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 21.409 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 21.409 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 21.409 * [taylor]: Taking taylor expansion of 2 in K 21.409 * [backup-simplify]: Simplify 2 into 2 21.409 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 21.409 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.409 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.409 * [taylor]: Taking taylor expansion of 1/2 in K 21.409 * [backup-simplify]: Simplify 1/2 into 1/2 21.409 * [taylor]: Taking taylor expansion of K in K 21.409 * [backup-simplify]: Simplify 0 into 0 21.409 * [backup-simplify]: Simplify 1 into 1 21.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.409 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.410 * [taylor]: Taking taylor expansion of J in K 21.410 * [backup-simplify]: Simplify J into J 21.410 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 21.410 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 21.410 * [taylor]: Taking taylor expansion of 2 in J 21.410 * [backup-simplify]: Simplify 2 into 2 21.410 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 21.410 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.410 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.410 * [taylor]: Taking taylor expansion of 1/2 in J 21.410 * [backup-simplify]: Simplify 1/2 into 1/2 21.410 * [taylor]: Taking taylor expansion of K in J 21.410 * [backup-simplify]: Simplify K into K 21.410 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.410 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.410 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.410 * [taylor]: Taking taylor expansion of J in J 21.410 * [backup-simplify]: Simplify 0 into 0 21.410 * [backup-simplify]: Simplify 1 into 1 21.410 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.410 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.410 * [backup-simplify]: Simplify (- 0) into 0 21.410 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.410 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.410 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 21.410 * [taylor]: Taking taylor expansion of 2 in J 21.410 * [backup-simplify]: Simplify 2 into 2 21.410 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 21.410 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.410 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.410 * [taylor]: Taking taylor expansion of 1/2 in J 21.411 * [backup-simplify]: Simplify 1/2 into 1/2 21.411 * [taylor]: Taking taylor expansion of K in J 21.411 * [backup-simplify]: Simplify K into K 21.411 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.411 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.411 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.411 * [taylor]: Taking taylor expansion of J in J 21.411 * [backup-simplify]: Simplify 0 into 0 21.411 * [backup-simplify]: Simplify 1 into 1 21.411 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.411 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.411 * [backup-simplify]: Simplify (- 0) into 0 21.411 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.411 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.411 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 21.411 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 21.411 * [taylor]: Taking taylor expansion of 2 in K 21.411 * [backup-simplify]: Simplify 2 into 2 21.411 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.411 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.411 * [taylor]: Taking taylor expansion of 1/2 in K 21.411 * [backup-simplify]: Simplify 1/2 into 1/2 21.411 * [taylor]: Taking taylor expansion of K in K 21.411 * [backup-simplify]: Simplify 0 into 0 21.411 * [backup-simplify]: Simplify 1 into 1 21.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.412 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.412 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 21.412 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 21.412 * [backup-simplify]: Simplify (+ 0) into 0 21.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.414 * [backup-simplify]: Simplify (- 0) into 0 21.414 * [backup-simplify]: Simplify (+ 0 0) into 0 21.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 21.415 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 21.415 * [taylor]: Taking taylor expansion of 0 in K 21.415 * [backup-simplify]: Simplify 0 into 0 21.415 * [backup-simplify]: Simplify 0 into 0 21.415 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 21.415 * [backup-simplify]: Simplify 0 into 0 21.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.417 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.417 * [backup-simplify]: Simplify (- 0) into 0 21.418 * [backup-simplify]: Simplify (+ 0 0) into 0 21.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.420 * [taylor]: Taking taylor expansion of 0 in K 21.420 * [backup-simplify]: Simplify 0 into 0 21.420 * [backup-simplify]: Simplify 0 into 0 21.420 * [backup-simplify]: Simplify 0 into 0 21.421 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.421 * [backup-simplify]: Simplify 0 into 0 21.422 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.423 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.426 * [backup-simplify]: Simplify (- 0) into 0 21.426 * [backup-simplify]: Simplify (+ 0 0) into 0 21.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.429 * [taylor]: Taking taylor expansion of 0 in K 21.429 * [backup-simplify]: Simplify 0 into 0 21.429 * [backup-simplify]: Simplify 0 into 0 21.429 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 21.430 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 21.430 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 21.430 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 21.430 * [taylor]: Taking taylor expansion of -2 in K 21.430 * [backup-simplify]: Simplify -2 into -2 21.430 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 21.430 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.430 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.430 * [taylor]: Taking taylor expansion of -1/2 in K 21.430 * [backup-simplify]: Simplify -1/2 into -1/2 21.430 * [taylor]: Taking taylor expansion of K in K 21.430 * [backup-simplify]: Simplify 0 into 0 21.430 * [backup-simplify]: Simplify 1 into 1 21.430 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.430 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.430 * [taylor]: Taking taylor expansion of J in K 21.430 * [backup-simplify]: Simplify J into J 21.430 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 21.430 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 21.430 * [taylor]: Taking taylor expansion of -2 in J 21.430 * [backup-simplify]: Simplify -2 into -2 21.430 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 21.430 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.430 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.430 * [taylor]: Taking taylor expansion of -1/2 in J 21.430 * [backup-simplify]: Simplify -1/2 into -1/2 21.430 * [taylor]: Taking taylor expansion of K in J 21.430 * [backup-simplify]: Simplify K into K 21.430 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.430 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.430 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.431 * [taylor]: Taking taylor expansion of J in J 21.431 * [backup-simplify]: Simplify 0 into 0 21.431 * [backup-simplify]: Simplify 1 into 1 21.431 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.431 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.431 * [backup-simplify]: Simplify (- 0) into 0 21.431 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.431 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.431 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 21.431 * [taylor]: Taking taylor expansion of -2 in J 21.431 * [backup-simplify]: Simplify -2 into -2 21.431 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 21.431 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.431 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.431 * [taylor]: Taking taylor expansion of -1/2 in J 21.431 * [backup-simplify]: Simplify -1/2 into -1/2 21.431 * [taylor]: Taking taylor expansion of K in J 21.431 * [backup-simplify]: Simplify K into K 21.431 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.431 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.431 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.431 * [taylor]: Taking taylor expansion of J in J 21.431 * [backup-simplify]: Simplify 0 into 0 21.431 * [backup-simplify]: Simplify 1 into 1 21.431 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.431 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.432 * [backup-simplify]: Simplify (- 0) into 0 21.432 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.432 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.432 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 21.432 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 21.432 * [taylor]: Taking taylor expansion of -2 in K 21.432 * [backup-simplify]: Simplify -2 into -2 21.432 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.432 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.432 * [taylor]: Taking taylor expansion of -1/2 in K 21.432 * [backup-simplify]: Simplify -1/2 into -1/2 21.432 * [taylor]: Taking taylor expansion of K in K 21.432 * [backup-simplify]: Simplify 0 into 0 21.432 * [backup-simplify]: Simplify 1 into 1 21.432 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.433 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.433 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 21.433 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 21.433 * [backup-simplify]: Simplify (+ 0) into 0 21.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.434 * [backup-simplify]: Simplify (- 0) into 0 21.435 * [backup-simplify]: Simplify (+ 0 0) into 0 21.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 21.436 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 21.436 * [taylor]: Taking taylor expansion of 0 in K 21.436 * [backup-simplify]: Simplify 0 into 0 21.436 * [backup-simplify]: Simplify 0 into 0 21.436 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 21.436 * [backup-simplify]: Simplify 0 into 0 21.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.437 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.438 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.439 * [backup-simplify]: Simplify (- 0) into 0 21.439 * [backup-simplify]: Simplify (+ 0 0) into 0 21.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.440 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 21.440 * [taylor]: Taking taylor expansion of 0 in K 21.440 * [backup-simplify]: Simplify 0 into 0 21.440 * [backup-simplify]: Simplify 0 into 0 21.440 * [backup-simplify]: Simplify 0 into 0 21.441 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 21.441 * [backup-simplify]: Simplify 0 into 0 21.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.442 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.444 * [backup-simplify]: Simplify (- 0) into 0 21.444 * [backup-simplify]: Simplify (+ 0 0) into 0 21.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.447 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 21.447 * [taylor]: Taking taylor expansion of 0 in K 21.447 * [backup-simplify]: Simplify 0 into 0 21.447 * [backup-simplify]: Simplify 0 into 0 21.447 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 21.447 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 21.447 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 21.447 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 21.447 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 21.447 * [taylor]: Taking taylor expansion of -2 in J 21.447 * [backup-simplify]: Simplify -2 into -2 21.447 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 21.447 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 21.447 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 21.447 * [taylor]: Taking taylor expansion of 1/2 in J 21.447 * [backup-simplify]: Simplify 1/2 into 1/2 21.447 * [taylor]: Taking taylor expansion of K in J 21.447 * [backup-simplify]: Simplify K into K 21.447 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 21.447 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 21.447 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 21.447 * [taylor]: Taking taylor expansion of J in J 21.447 * [backup-simplify]: Simplify 0 into 0 21.447 * [backup-simplify]: Simplify 1 into 1 21.447 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 21.447 * [taylor]: Taking taylor expansion of -2 in K 21.447 * [backup-simplify]: Simplify -2 into -2 21.447 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.447 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.447 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.447 * [taylor]: Taking taylor expansion of 1/2 in K 21.447 * [backup-simplify]: Simplify 1/2 into 1/2 21.447 * [taylor]: Taking taylor expansion of K in K 21.447 * [backup-simplify]: Simplify 0 into 0 21.447 * [backup-simplify]: Simplify 1 into 1 21.448 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.448 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.448 * [taylor]: Taking taylor expansion of J in K 21.448 * [backup-simplify]: Simplify J into J 21.448 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 21.448 * [taylor]: Taking taylor expansion of -2 in K 21.448 * [backup-simplify]: Simplify -2 into -2 21.448 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 21.448 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 21.448 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 21.449 * [taylor]: Taking taylor expansion of 1/2 in K 21.449 * [backup-simplify]: Simplify 1/2 into 1/2 21.449 * [taylor]: Taking taylor expansion of K in K 21.449 * [backup-simplify]: Simplify 0 into 0 21.449 * [backup-simplify]: Simplify 1 into 1 21.449 * [backup-simplify]: Simplify (* 1/2 0) into 0 21.449 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 21.449 * [taylor]: Taking taylor expansion of J in K 21.449 * [backup-simplify]: Simplify J into J 21.449 * [backup-simplify]: Simplify (* 1 J) into J 21.449 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 21.450 * [taylor]: Taking taylor expansion of (* -2 J) in J 21.450 * [taylor]: Taking taylor expansion of -2 in J 21.450 * [backup-simplify]: Simplify -2 into -2 21.450 * [taylor]: Taking taylor expansion of J in J 21.450 * [backup-simplify]: Simplify 0 into 0 21.450 * [backup-simplify]: Simplify 1 into 1 21.450 * [backup-simplify]: Simplify (* -2 0) into 0 21.450 * [backup-simplify]: Simplify 0 into 0 21.450 * [backup-simplify]: Simplify (+ 0) into 0 21.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 21.451 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 21.451 * [taylor]: Taking taylor expansion of 0 in J 21.451 * [backup-simplify]: Simplify 0 into 0 21.451 * [backup-simplify]: Simplify 0 into 0 21.451 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 21.451 * [backup-simplify]: Simplify -2 into -2 21.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 21.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 21.453 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 21.453 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 21.453 * [taylor]: Taking taylor expansion of 1/4 in J 21.453 * [backup-simplify]: Simplify 1/4 into 1/4 21.453 * [taylor]: Taking taylor expansion of J in J 21.453 * [backup-simplify]: Simplify 0 into 0 21.453 * [backup-simplify]: Simplify 1 into 1 21.453 * [backup-simplify]: Simplify (* 1/4 0) into 0 21.453 * [backup-simplify]: Simplify 0 into 0 21.453 * [backup-simplify]: Simplify 0 into 0 21.454 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 21.454 * [backup-simplify]: Simplify 0 into 0 21.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 21.456 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 21.457 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 21.457 * [taylor]: Taking taylor expansion of 0 in J 21.457 * [backup-simplify]: Simplify 0 into 0 21.457 * [backup-simplify]: Simplify 0 into 0 21.458 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 21.458 * [backup-simplify]: Simplify 1/4 into 1/4 21.458 * [backup-simplify]: Simplify 0 into 0 21.459 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.459 * [backup-simplify]: Simplify 0 into 0 21.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.465 * [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 21.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 21.467 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 21.467 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 21.467 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 21.467 * [taylor]: Taking taylor expansion of 1/192 in J 21.467 * [backup-simplify]: Simplify 1/192 into 1/192 21.467 * [taylor]: Taking taylor expansion of J in J 21.467 * [backup-simplify]: Simplify 0 into 0 21.467 * [backup-simplify]: Simplify 1 into 1 21.467 * [backup-simplify]: Simplify (* 1/192 0) into 0 21.468 * [backup-simplify]: Simplify (- 0) into 0 21.468 * [backup-simplify]: Simplify 0 into 0 21.468 * [backup-simplify]: Simplify 0 into 0 21.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 21.468 * [backup-simplify]: Simplify 0 into 0 21.468 * [backup-simplify]: Simplify 0 into 0 21.469 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 21.469 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 21.469 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 21.469 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 21.469 * [taylor]: Taking taylor expansion of -2 in J 21.469 * [backup-simplify]: Simplify -2 into -2 21.469 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 21.469 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.469 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.469 * [taylor]: Taking taylor expansion of 1/2 in J 21.469 * [backup-simplify]: Simplify 1/2 into 1/2 21.469 * [taylor]: Taking taylor expansion of K in J 21.469 * [backup-simplify]: Simplify K into K 21.469 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.469 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.469 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.469 * [taylor]: Taking taylor expansion of J in J 21.469 * [backup-simplify]: Simplify 0 into 0 21.469 * [backup-simplify]: Simplify 1 into 1 21.469 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.469 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.469 * [backup-simplify]: Simplify (- 0) into 0 21.469 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.470 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.470 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 21.470 * [taylor]: Taking taylor expansion of -2 in K 21.470 * [backup-simplify]: Simplify -2 into -2 21.470 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 21.470 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.470 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.470 * [taylor]: Taking taylor expansion of 1/2 in K 21.470 * [backup-simplify]: Simplify 1/2 into 1/2 21.470 * [taylor]: Taking taylor expansion of K in K 21.470 * [backup-simplify]: Simplify 0 into 0 21.470 * [backup-simplify]: Simplify 1 into 1 21.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.470 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.470 * [taylor]: Taking taylor expansion of J in K 21.470 * [backup-simplify]: Simplify J into J 21.470 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 21.470 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 21.470 * [taylor]: Taking taylor expansion of -2 in K 21.470 * [backup-simplify]: Simplify -2 into -2 21.470 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 21.470 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 21.470 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 21.470 * [taylor]: Taking taylor expansion of 1/2 in K 21.470 * [backup-simplify]: Simplify 1/2 into 1/2 21.470 * [taylor]: Taking taylor expansion of K in K 21.470 * [backup-simplify]: Simplify 0 into 0 21.470 * [backup-simplify]: Simplify 1 into 1 21.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.471 * [taylor]: Taking taylor expansion of J in K 21.471 * [backup-simplify]: Simplify J into J 21.471 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 21.471 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 21.471 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 21.471 * [taylor]: Taking taylor expansion of -2 in J 21.471 * [backup-simplify]: Simplify -2 into -2 21.471 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 21.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 21.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 21.471 * [taylor]: Taking taylor expansion of 1/2 in J 21.471 * [backup-simplify]: Simplify 1/2 into 1/2 21.471 * [taylor]: Taking taylor expansion of K in J 21.471 * [backup-simplify]: Simplify K into K 21.471 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 21.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 21.471 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 21.471 * [taylor]: Taking taylor expansion of J in J 21.471 * [backup-simplify]: Simplify 0 into 0 21.471 * [backup-simplify]: Simplify 1 into 1 21.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.471 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 21.472 * [backup-simplify]: Simplify (- 0) into 0 21.472 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 21.472 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 21.472 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 21.472 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 21.472 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 21.472 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 21.472 * [taylor]: Taking taylor expansion of 0 in J 21.472 * [backup-simplify]: Simplify 0 into 0 21.473 * [backup-simplify]: Simplify (+ 0) into 0 21.473 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 21.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 21.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.474 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 21.474 * [backup-simplify]: Simplify (- 0) into 0 21.475 * [backup-simplify]: Simplify (+ 0 0) into 0 21.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 21.476 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 21.476 * [backup-simplify]: Simplify 0 into 0 21.476 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 21.477 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 21.477 * [taylor]: Taking taylor expansion of 0 in J 21.477 * [backup-simplify]: Simplify 0 into 0 21.477 * [backup-simplify]: Simplify 0 into 0 21.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.479 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.480 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.480 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.481 * [backup-simplify]: Simplify (- 0) into 0 21.481 * [backup-simplify]: Simplify (+ 0 0) into 0 21.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.483 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 21.483 * [backup-simplify]: Simplify 0 into 0 21.483 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 21.484 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 21.484 * [taylor]: Taking taylor expansion of 0 in J 21.484 * [backup-simplify]: Simplify 0 into 0 21.484 * [backup-simplify]: Simplify 0 into 0 21.484 * [backup-simplify]: Simplify 0 into 0 21.484 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.485 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.485 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.486 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.487 * [backup-simplify]: Simplify (- 0) into 0 21.487 * [backup-simplify]: Simplify (+ 0 0) into 0 21.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.489 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 21.489 * [backup-simplify]: Simplify 0 into 0 21.489 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 21.489 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 21.489 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 21.489 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 21.489 * [taylor]: Taking taylor expansion of 2 in J 21.489 * [backup-simplify]: Simplify 2 into 2 21.489 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 21.489 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.489 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.489 * [taylor]: Taking taylor expansion of -1/2 in J 21.489 * [backup-simplify]: Simplify -1/2 into -1/2 21.489 * [taylor]: Taking taylor expansion of K in J 21.489 * [backup-simplify]: Simplify K into K 21.489 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.489 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.489 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.489 * [taylor]: Taking taylor expansion of J in J 21.489 * [backup-simplify]: Simplify 0 into 0 21.489 * [backup-simplify]: Simplify 1 into 1 21.489 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.490 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.490 * [backup-simplify]: Simplify (- 0) into 0 21.490 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.490 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.490 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 21.490 * [taylor]: Taking taylor expansion of 2 in K 21.490 * [backup-simplify]: Simplify 2 into 2 21.490 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 21.490 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.490 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.490 * [taylor]: Taking taylor expansion of -1/2 in K 21.490 * [backup-simplify]: Simplify -1/2 into -1/2 21.490 * [taylor]: Taking taylor expansion of K in K 21.490 * [backup-simplify]: Simplify 0 into 0 21.490 * [backup-simplify]: Simplify 1 into 1 21.490 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.490 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.490 * [taylor]: Taking taylor expansion of J in K 21.490 * [backup-simplify]: Simplify J into J 21.490 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 21.490 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 21.490 * [taylor]: Taking taylor expansion of 2 in K 21.491 * [backup-simplify]: Simplify 2 into 2 21.491 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 21.491 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 21.491 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 21.491 * [taylor]: Taking taylor expansion of -1/2 in K 21.491 * [backup-simplify]: Simplify -1/2 into -1/2 21.491 * [taylor]: Taking taylor expansion of K in K 21.491 * [backup-simplify]: Simplify 0 into 0 21.491 * [backup-simplify]: Simplify 1 into 1 21.491 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 21.491 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.491 * [taylor]: Taking taylor expansion of J in K 21.491 * [backup-simplify]: Simplify J into J 21.491 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 21.491 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 21.491 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 21.491 * [taylor]: Taking taylor expansion of 2 in J 21.491 * [backup-simplify]: Simplify 2 into 2 21.491 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 21.491 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 21.491 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 21.491 * [taylor]: Taking taylor expansion of -1/2 in J 21.491 * [backup-simplify]: Simplify -1/2 into -1/2 21.491 * [taylor]: Taking taylor expansion of K in J 21.491 * [backup-simplify]: Simplify K into K 21.491 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 21.491 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 21.491 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 21.491 * [taylor]: Taking taylor expansion of J in J 21.491 * [backup-simplify]: Simplify 0 into 0 21.491 * [backup-simplify]: Simplify 1 into 1 21.492 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.492 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 21.492 * [backup-simplify]: Simplify (- 0) into 0 21.492 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 21.492 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 21.492 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 21.492 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 21.492 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 21.493 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 21.493 * [taylor]: Taking taylor expansion of 0 in J 21.493 * [backup-simplify]: Simplify 0 into 0 21.493 * [backup-simplify]: Simplify (+ 0) into 0 21.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 21.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 21.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 21.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 21.495 * [backup-simplify]: Simplify (- 0) into 0 21.495 * [backup-simplify]: Simplify (+ 0 0) into 0 21.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 21.496 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 21.496 * [backup-simplify]: Simplify 0 into 0 21.496 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 21.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 21.497 * [taylor]: Taking taylor expansion of 0 in J 21.497 * [backup-simplify]: Simplify 0 into 0 21.497 * [backup-simplify]: Simplify 0 into 0 21.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 21.498 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 21.498 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.499 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 21.499 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 21.499 * [backup-simplify]: Simplify (- 0) into 0 21.500 * [backup-simplify]: Simplify (+ 0 0) into 0 21.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 21.501 * [backup-simplify]: Simplify 0 into 0 21.501 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 21.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 21.503 * [taylor]: Taking taylor expansion of 0 in J 21.503 * [backup-simplify]: Simplify 0 into 0 21.503 * [backup-simplify]: Simplify 0 into 0 21.503 * [backup-simplify]: Simplify 0 into 0 21.504 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 21.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.507 * [backup-simplify]: Simplify (- 0) into 0 21.508 * [backup-simplify]: Simplify (+ 0 0) into 0 21.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 21.511 * [backup-simplify]: Simplify 0 into 0 21.511 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 21.511 * * * [progress]: simplifying candidates 21.511 * * * * [progress]: [ 1 / 141 ] simplifiying candidate # 21.511 * * * * [progress]: [ 2 / 141 ] simplifiying candidate # 21.511 * * * * [progress]: [ 3 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 4 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 5 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 6 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 7 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 8 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 9 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 10 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 11 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 12 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 13 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 14 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 15 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 16 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 17 / 141 ] simplifiying candidate # 21.512 * * * * [progress]: [ 18 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 19 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 20 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 21 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 22 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 23 / 141 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))))))> 21.513 * * * * [progress]: [ 24 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 25 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 26 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 27 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 28 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 29 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 30 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 31 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 32 / 141 ] simplifiying candidate # 21.513 * * * * [progress]: [ 33 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 34 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 35 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 36 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 37 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 38 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 39 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 40 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 41 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 42 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 43 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 44 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 45 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 46 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 47 / 141 ] simplifiying candidate # 21.514 * * * * [progress]: [ 48 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 49 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 50 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 51 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 52 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 53 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 54 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 55 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 56 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 57 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 58 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 59 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 60 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 61 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 62 / 141 ] simplifiying candidate # 21.515 * * * * [progress]: [ 63 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 64 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 65 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 66 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 67 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 68 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 69 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 70 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 71 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 72 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 73 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 74 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 75 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 76 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 77 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 78 / 141 ] simplifiying candidate # 21.516 * * * * [progress]: [ 79 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 80 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 81 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 82 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 83 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 84 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 85 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 86 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 87 / 141 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))))) (* (cos (/ K 2)) (* -2 J))))> 21.517 * * * * [progress]: [ 88 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 89 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 90 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 91 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 92 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 93 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 94 / 141 ] simplifiying candidate # 21.517 * * * * [progress]: [ 95 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 96 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 97 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 98 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 99 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 100 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 101 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 102 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 103 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 104 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 105 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 106 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 107 / 141 ] simplifiying candidate #real (real->posit16 (* (* J 2) (cos (/ K 2))))) U))) (* (cos (/ K 2)) (* -2 J))))> 21.518 * * * * [progress]: [ 108 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 109 / 141 ] simplifiying candidate # 21.518 * * * * [progress]: [ 110 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 111 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 112 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 113 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 114 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 115 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 116 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 117 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 118 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 119 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 120 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 121 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 122 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 123 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 124 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 125 / 141 ] simplifiying candidate # 21.519 * * * * [progress]: [ 126 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 127 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 128 / 141 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 21.520 * * * * [progress]: [ 129 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 130 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 131 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 132 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 133 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 134 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 135 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 136 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 137 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 138 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 139 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 140 / 141 ] simplifiying candidate # 21.520 * * * * [progress]: [ 141 / 141 ] simplifiying candidate # 21.523 * [simplify]: Simplifying: (expm1 (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))) (+ (log (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (exp (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J))) (real->posit16 (* (hypot 1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (cos (/ K 2)) (* -2 J)))) (expm1 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (log1p (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (- 1) (- (- (+ (+ (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))) (- (log (/ (* (* J 2) (cos (/ K 2))) U))) (- 0 (- (+ (+ (log J) (log 2)) (log (cos (/ K 2)))) (log U))) (- 0 (- (+ (log (* J 2)) (log (cos (/ K 2)))) (log U))) (- 0 (- (log (* (* J 2) (cos (/ K 2)))) (log U))) (- 0 (log (/ (* (* J 2) (cos (/ K 2))) U))) (- (log 1) (- (+ (+ (log J) (log 2)) (log (cos (/ K 2)))) (log U))) (- (log 1) (- (+ (log (* J 2)) (log (cos (/ K 2)))) (log U))) (- (log 1) (- (log (* (* J 2) (cos (/ K 2)))) (log U))) (- (log 1) (log (/ (* (* J 2) (cos (/ K 2))) U))) (log (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (exp (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (/ (* (* 1 1) 1) (/ (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* U U) U))) (/ (* (* 1 1) 1) (/ (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* U U) U))) (/ (* (* 1 1) 1) (/ (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (* (* U U) U))) (/ (* (* 1 1) 1) (* (* (/ (* (* J 2) (cos (/ K 2))) U) (/ (* (* J 2) (cos (/ K 2))) U)) (/ (* (* J 2) (cos (/ K 2))) U))) (* (cbrt (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (cbrt (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)))) (cbrt (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (* (* (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)) (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (sqrt (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (sqrt (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (- 1) (- (/ (* (* J 2) (cos (/ K 2))) U)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* (* J 2) (cos (/ K 2))) U)) (cbrt (/ (* (* J 2) (cos (/ K 2))) U)))) (/ (cbrt 1) (cbrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ (cbrt 1) (sqrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ (* (cbrt 1) (cbrt 1)) (/ (* J 2) (* (cbrt U) (cbrt U)))) (/ (cbrt 1) (/ (cos (/ K 2)) (cbrt U))) (/ (* (cbrt 1) (cbrt 1)) (/ (* J 2) (sqrt U))) (/ (cbrt 1) (/ (cos (/ K 2)) (sqrt U))) (/ (* (cbrt 1) (cbrt 1)) (/ (* J 2) 1)) (/ (cbrt 1) (/ (cos (/ K 2)) U)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (* (* J 2) (cos (/ K 2))) U)) (/ (* (cbrt 1) (cbrt 1)) (* (* J 2) (cos (/ K 2)))) (/ (cbrt 1) (/ 1 U)) (/ (sqrt 1) (* (cbrt (/ (* (* J 2) (cos (/ K 2))) U)) (cbrt (/ (* (* J 2) (cos (/ K 2))) U)))) (/ (sqrt 1) (cbrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ (sqrt 1) (sqrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ (sqrt 1) (sqrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ (sqrt 1) (/ (* J 2) (* (cbrt U) (cbrt U)))) (/ (sqrt 1) (/ (cos (/ K 2)) (cbrt U))) (/ (sqrt 1) (/ (* J 2) (sqrt U))) (/ (sqrt 1) (/ (cos (/ K 2)) (sqrt U))) (/ (sqrt 1) (/ (* J 2) 1)) (/ (sqrt 1) (/ (cos (/ K 2)) U)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (* (* J 2) (cos (/ K 2))) U)) (/ (sqrt 1) (* (* J 2) (cos (/ K 2)))) (/ (sqrt 1) (/ 1 U)) (/ 1 (* (cbrt (/ (* (* J 2) (cos (/ K 2))) U)) (cbrt (/ (* (* J 2) (cos (/ K 2))) U)))) (/ 1 (cbrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ 1 (sqrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ 1 (sqrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ 1 (/ (* J 2) (* (cbrt U) (cbrt U)))) (/ 1 (/ (cos (/ K 2)) (cbrt U))) (/ 1 (/ (* J 2) (sqrt U))) (/ 1 (/ (cos (/ K 2)) (sqrt U))) (/ 1 (/ (* J 2) 1)) (/ 1 (/ (cos (/ K 2)) U)) (/ 1 1) (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)) (/ 1 (* (* J 2) (cos (/ K 2)))) (/ 1 (/ 1 U)) (/ 1 (/ (* (* J 2) (cos (/ K 2))) U)) (/ (/ (* (* J 2) (cos (/ K 2))) U) 1) (/ 1 (* (cbrt (/ (* (* J 2) (cos (/ K 2))) U)) (cbrt (/ (* (* J 2) (cos (/ K 2))) U)))) (/ 1 (sqrt (/ (* (* J 2) (cos (/ K 2))) U))) (/ 1 (/ (* J 2) (* (cbrt U) (cbrt U)))) (/ 1 (/ (* J 2) (sqrt U))) (/ 1 (/ (* J 2) 1)) (/ 1 1) (/ 1 (* (* J 2) (cos (/ K 2)))) (/ (/ (* (* J 2) (cos (/ K 2))) U) (cbrt 1)) (/ (/ (* (* J 2) (cos (/ K 2))) U) (sqrt 1)) (/ (/ (* (* J 2) (cos (/ K 2))) U) 1) (/ 1 (* (* J 2) (cos (/ K 2)))) (real->posit16 (/ 1 (/ (* (* J 2) (cos (/ K 2))) U))) (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))) (real->posit16 (* (* J 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)) (real->posit16 (* (cos (/ K 2)) (* -2 J))) 0 (* -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))) (* 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)) 21.528 * * [simplify]: iteration 1: (223 enodes) 21.670 * * [simplify]: iteration 2: (560 enodes) 22.066 * * [simplify]: iteration 3: (1988 enodes) 36.108 * * [simplify]: Extracting #0: cost 72 inf + 0 36.112 * * [simplify]: Extracting #1: cost 1008 inf + 4 36.125 * * [simplify]: Extracting #2: cost 3134 inf + 3119 36.152 * * [simplify]: Extracting #3: cost 3500 inf + 41440 36.193 * * [simplify]: Extracting #4: cost 2738 inf + 156945 36.335 * * [simplify]: Extracting #5: cost 1124 inf + 584920 36.630 * * [simplify]: Extracting #6: cost 96 inf + 953105 36.920 * * [simplify]: Extracting #7: cost 0 inf + 999358 37.245 * [simplify]: Simplified to: (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* J -2)) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* J -2)) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* J -2)) (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* J -2)) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* J -2))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* J -2))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (real->posit16 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (expm1 (/ U (* J (* (cos (/ K 2)) 2)))) (log1p (/ U (* J (* (cos (/ K 2)) 2)))) -1 (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (log (/ U (* J (* (cos (/ K 2)) 2)))) (exp (/ U (* J (* (cos (/ K 2)) 2)))) (* (/ U (* J (* (cos (/ K 2)) 2))) (* (/ U (* J (* (cos (/ K 2)) 2))) (/ U (* J (* (cos (/ K 2)) 2))))) (* (/ U (* J (* (cos (/ K 2)) 2))) (* (/ U (* J (* (cos (/ K 2)) 2))) (/ U (* J (* (cos (/ K 2)) 2))))) (* (/ U (* J (* (cos (/ K 2)) 2))) (* (/ U (* J (* (cos (/ K 2)) 2))) (/ U (* J (* (cos (/ K 2)) 2))))) (* (/ U (* J (* (cos (/ K 2)) 2))) (* (/ U (* J (* (cos (/ K 2)) 2))) (/ U (* J (* (cos (/ K 2)) 2))))) (* (cbrt (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (/ U (* J (* (cos (/ K 2)) 2)))) (* (/ U (* J (* (cos (/ K 2)) 2))) (* (/ U (* J (* (cos (/ K 2)) 2))) (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (/ U (* J (* (cos (/ K 2)) 2)))) -1 (/ (* J -2) (/ U (cos (/ K 2)))) (* (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J))))) (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (sqrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (sqrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (* (* (cbrt U) (cbrt U)) (/ 1/2 J)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1/2 J) (/ U (cos (/ K 2))) 1 (/ U (* J (* (cos (/ K 2)) 2))) (/ (/ 1/2 J) (cos (/ K 2))) U (* (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J))))) (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (sqrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (sqrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (* (* (cbrt U) (cbrt U)) (/ 1/2 J)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1/2 J) (/ U (cos (/ K 2))) 1 (/ U (* J (* (cos (/ K 2)) 2))) (/ (/ 1/2 J) (cos (/ K 2))) U (* (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J))))) (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (sqrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (sqrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (* (* (cbrt U) (cbrt U)) (/ 1/2 J)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1/2 J) (/ U (cos (/ K 2))) 1 (/ U (* J (* (cos (/ K 2)) 2))) (/ (/ 1/2 J) (cos (/ K 2))) U (/ U (* J (* (cos (/ K 2)) 2))) (/ 2 (/ (/ U (cos (/ K 2))) J)) (* (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (/ 1 (cbrt (/ 2 (/ (/ U (cos (/ K 2))) J))))) (/ 1 (sqrt (/ 2 (/ (/ U (cos (/ K 2))) J)))) (* (* (cbrt U) (cbrt U)) (/ 1/2 J)) (/ (sqrt U) (* J 2)) (/ 1/2 J) 1 (/ (/ 1/2 J) (cos (/ K 2))) (/ 2 (/ (/ U (cos (/ K 2))) J)) (/ 2 (/ (/ U (cos (/ K 2))) J)) (/ 2 (/ (/ U (cos (/ K 2))) J)) (/ (/ 1/2 J) (cos (/ K 2))) (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))) (expm1 (* J (* (cos (/ K 2)) 2))) (log1p (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)) (log (* J (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (exp (* J (* (cos (/ K 2)) 2))) (* (* J (* (cos (/ K 2)) 2)) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (* (* J (* (cos (/ K 2)) 2)) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (* (cbrt (* J (* (cos (/ K 2)) 2))) (cbrt (* J (* (cos (/ K 2)) 2)))) (cbrt (* J (* (cos (/ K 2)) 2))) (* (* J (* (cos (/ K 2)) 2)) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (sqrt (* J (* (cos (/ K 2)) 2))) (sqrt (* J (* (cos (/ K 2)) 2))) (* (* (cbrt (cos (/ K 2))) (* J 2)) (cbrt (cos (/ K 2)))) (* (* J 2) (sqrt (cos (/ K 2)))) (* J 2) (* (cos (/ K 2)) 2) (real->posit16 (* J (* (cos (/ K 2)) 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)) (* (cos (/ K 2)) (* J -2)))) (* J -2)) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* J -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)) (* (cos (/ K 2)) (* J -2)))) (* J -2)) (sqrt (* (cos (/ K 2)) (* J -2))) (sqrt (* (cos (/ K 2)) (* J -2))) (* -2 (cos (/ K 2))) (* (* (cbrt (cos (/ K 2))) J) -2) (* -2 (* (sqrt (cos (/ K 2))) J)) (* (cos (/ K 2)) (* J -2)) (real->posit16 (* (cos (/ K 2)) (* J -2))) 0 (* (* (cos (* K 1/2)) -2) J) (* (* (cos (* K 1/2)) -2) J) (fma (/ K (/ (/ J U) K)) 1/16 (/ 1/2 (/ J U))) (/ (/ 1/2 (/ J U)) (cos (* K 1/2))) (/ (/ 1/2 (/ J U)) (cos (* K 1/2))) (* J 2) (* (* J 2) (cos (* K 1/2))) (* (* J 2) (cos (* K 1/2))) (* J (- (* K (* K 1/4)) 2)) (* (* (cos (* K 1/2)) -2) J) (* (* (cos (* K 1/2)) -2) J) 37.256 * * * [progress]: adding candidates to table 39.115 * [progress]: [Phase 3 of 3] Extracting. 39.115 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 39.117 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 39.118 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # #) 39.193 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # #) 39.266 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # #) 39.359 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # #) 39.457 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # #) 39.554 * * * [regime]: Found split indices: #