0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.175 * * * [progress]: [2/2] Setting up program. 0.181 * [progress]: [Phase 2 of 3] Improving. 0.181 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.181 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.181 * * [simplify]: iters left: 6 (17 enodes) 0.186 * * [simplify]: iters left: 5 (70 enodes) 0.211 * * [simplify]: iters left: 4 (130 enodes) 0.261 * * [simplify]: iters left: 3 (284 enodes) 0.382 * * [simplify]: Extracting #0: cost 1 inf + 0 0.383 * * [simplify]: Extracting #1: cost 16 inf + 0 0.383 * * [simplify]: Extracting #2: cost 30 inf + 2 0.383 * * [simplify]: Extracting #3: cost 47 inf + 87 0.384 * * [simplify]: Extracting #4: cost 107 inf + 1133 0.389 * * [simplify]: Extracting #5: cost 153 inf + 13749 0.411 * * [simplify]: Extracting #6: cost 4 inf + 49904 0.432 * * [simplify]: Extracting #7: cost 0 inf + 50870 0.454 * * [simplify]: Extracting #8: cost 0 inf + 50790 0.475 * [simplify]: Simplified to (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 0.475 * [simplify]: Simplified (2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 0.491 * * [progress]: iteration 1 / 4 0.492 * * * [progress]: picking best candidate 0.498 * * * * [pick]: Picked # 0.498 * * * [progress]: localizing error 0.541 * * * [progress]: generating rewritten candidates 0.541 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.586 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.616 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.636 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.650 * * * [progress]: generating series expansions 0.650 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.651 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 0.651 * [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 0.651 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 0.651 * [taylor]: Taking taylor expansion of -2 in K 0.651 * [backup-simplify]: Simplify -2 into -2 0.651 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 0.651 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.651 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.651 * [taylor]: Taking taylor expansion of 1/2 in K 0.651 * [backup-simplify]: Simplify 1/2 into 1/2 0.651 * [taylor]: Taking taylor expansion of K in K 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.653 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 0.653 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 0.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.653 * [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 0.653 * [taylor]: Taking taylor expansion of (* 1 1) in K 0.653 * [taylor]: Taking taylor expansion of 1 in K 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [taylor]: Taking taylor expansion of 1 in K 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 0.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 0.653 * [taylor]: Taking taylor expansion of 1/2 in K 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 0.653 * [taylor]: Taking taylor expansion of U in K 0.653 * [backup-simplify]: Simplify U into U 0.653 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 0.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.653 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.653 * [taylor]: Taking taylor expansion of 1/2 in K 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of K in K 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.655 * [taylor]: Taking taylor expansion of J in K 0.655 * [backup-simplify]: Simplify J into J 0.655 * [backup-simplify]: Simplify (* 1 J) into J 0.655 * [backup-simplify]: Simplify (/ U J) into (/ U J) 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 0.655 * [taylor]: Taking taylor expansion of 1/2 in K 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 0.655 * [taylor]: Taking taylor expansion of U in K 0.655 * [backup-simplify]: Simplify U into U 0.655 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 0.655 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.655 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.655 * [taylor]: Taking taylor expansion of 1/2 in K 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of K in K 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.657 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.657 * [taylor]: Taking taylor expansion of J in K 0.657 * [backup-simplify]: Simplify J into J 0.657 * [backup-simplify]: Simplify (* 1 J) into J 0.657 * [backup-simplify]: Simplify (/ U J) into (/ U J) 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 0.657 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 0.658 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 0.658 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 0.658 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.659 * [backup-simplify]: Simplify (+ 0) into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 0.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 0.661 * [backup-simplify]: Simplify (+ 0) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 0.661 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 0.662 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 0.663 * [taylor]: Taking taylor expansion of J in K 0.663 * [backup-simplify]: Simplify J into J 0.663 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 0.663 * [taylor]: Taking taylor expansion of -2 in J 0.663 * [backup-simplify]: Simplify -2 into -2 0.663 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 0.663 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.663 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.664 * [taylor]: Taking taylor expansion of 1/2 in J 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.664 * [taylor]: Taking taylor expansion of K in J 0.664 * [backup-simplify]: Simplify K into K 0.664 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.664 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.664 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.664 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 0.664 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 0.664 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.664 * [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 0.664 * [taylor]: Taking taylor expansion of (* 1 1) in J 0.664 * [taylor]: Taking taylor expansion of 1 in J 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of 1 in J 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 0.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 0.664 * [taylor]: Taking taylor expansion of 1/2 in J 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.664 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 0.664 * [taylor]: Taking taylor expansion of U in J 0.664 * [backup-simplify]: Simplify U into U 0.664 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.664 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.664 * [taylor]: Taking taylor expansion of 1/2 in J 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.664 * [taylor]: Taking taylor expansion of K in J 0.664 * [backup-simplify]: Simplify K into K 0.665 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.665 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.665 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.665 * [taylor]: Taking taylor expansion of J in J 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.665 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.665 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0) into 0 0.666 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.668 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.670 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 0.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 0.670 * [taylor]: Taking taylor expansion of 1/2 in J 0.670 * [backup-simplify]: Simplify 1/2 into 1/2 0.670 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 0.670 * [taylor]: Taking taylor expansion of U in J 0.670 * [backup-simplify]: Simplify U into U 0.670 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.670 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.670 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.670 * [taylor]: Taking taylor expansion of 1/2 in J 0.670 * [backup-simplify]: Simplify 1/2 into 1/2 0.670 * [taylor]: Taking taylor expansion of K in J 0.670 * [backup-simplify]: Simplify K into K 0.670 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.670 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.670 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.670 * [taylor]: Taking taylor expansion of J in J 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.670 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.671 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.671 * [backup-simplify]: Simplify (+ 0) into 0 0.672 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.674 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.675 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 0.675 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 0.675 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 0.675 * [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))) 0.676 * [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))) 0.676 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 0.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.679 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.680 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 0.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.683 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.685 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.686 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 0.686 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 0.687 * [taylor]: Taking taylor expansion of J in J 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 0.687 * [taylor]: Taking taylor expansion of -2 in U 0.687 * [backup-simplify]: Simplify -2 into -2 0.687 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 0.687 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.687 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.687 * [taylor]: Taking taylor expansion of 1/2 in U 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of K in U 0.687 * [backup-simplify]: Simplify K into K 0.687 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.687 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.687 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.687 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 0.687 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.687 * [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 0.687 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.687 * [taylor]: Taking taylor expansion of 1 in U 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of 1 in U 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.687 * [taylor]: Taking taylor expansion of 1/2 in U 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.687 * [taylor]: Taking taylor expansion of U in U 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.687 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.687 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.687 * [taylor]: Taking taylor expansion of 1/2 in U 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of K in U 0.687 * [backup-simplify]: Simplify K into K 0.687 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.688 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.688 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.688 * [taylor]: Taking taylor expansion of J in U 0.688 * [backup-simplify]: Simplify J into J 0.688 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.688 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.688 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.688 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.688 * [taylor]: Taking taylor expansion of 1/2 in U 0.688 * [backup-simplify]: Simplify 1/2 into 1/2 0.688 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.688 * [taylor]: Taking taylor expansion of U in U 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.688 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.688 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.688 * [taylor]: Taking taylor expansion of 1/2 in U 0.688 * [backup-simplify]: Simplify 1/2 into 1/2 0.688 * [taylor]: Taking taylor expansion of K in U 0.688 * [backup-simplify]: Simplify K into K 0.688 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.688 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.688 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.688 * [taylor]: Taking taylor expansion of J in U 0.689 * [backup-simplify]: Simplify J into J 0.689 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.689 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.689 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.689 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.689 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.689 * [backup-simplify]: Simplify (* 1 1) into 1 0.690 * [backup-simplify]: Simplify (+ 1 0) into 1 0.690 * [backup-simplify]: Simplify (sqrt 1) into 1 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.691 * [taylor]: Taking taylor expansion of J in U 0.691 * [backup-simplify]: Simplify J into J 0.691 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 0.691 * [taylor]: Taking taylor expansion of -2 in U 0.691 * [backup-simplify]: Simplify -2 into -2 0.691 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 0.691 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.691 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.691 * [taylor]: Taking taylor expansion of 1/2 in U 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of K in U 0.691 * [backup-simplify]: Simplify K into K 0.691 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.691 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.691 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.691 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 0.691 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 0.691 * [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 0.691 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.691 * [taylor]: Taking taylor expansion of 1 in U 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of 1 in U 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 0.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.691 * [taylor]: Taking taylor expansion of 1/2 in U 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.691 * [taylor]: Taking taylor expansion of U in U 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.692 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.692 * [taylor]: Taking taylor expansion of 1/2 in U 0.692 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [taylor]: Taking taylor expansion of K in U 0.692 * [backup-simplify]: Simplify K into K 0.692 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.692 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.692 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.692 * [taylor]: Taking taylor expansion of J in U 0.692 * [backup-simplify]: Simplify J into J 0.692 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.692 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.692 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.692 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 0.692 * [taylor]: Taking taylor expansion of 1/2 in U 0.692 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 0.692 * [taylor]: Taking taylor expansion of U in U 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 0.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 0.692 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 0.692 * [taylor]: Taking taylor expansion of 1/2 in U 0.692 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [taylor]: Taking taylor expansion of K in U 0.692 * [backup-simplify]: Simplify K into K 0.693 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.693 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.693 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.693 * [taylor]: Taking taylor expansion of J in U 0.693 * [backup-simplify]: Simplify J into J 0.693 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.693 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.693 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.693 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 0.693 * [backup-simplify]: Simplify (* 1 1) into 1 0.694 * [backup-simplify]: Simplify (+ 1 0) into 1 0.694 * [backup-simplify]: Simplify (sqrt 1) into 1 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.695 * [taylor]: Taking taylor expansion of J in U 0.695 * [backup-simplify]: Simplify J into J 0.695 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.695 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.696 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.696 * [backup-simplify]: Simplify (* 1 J) into J 0.696 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 0.696 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 0.696 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 0.696 * [taylor]: Taking taylor expansion of -2 in J 0.696 * [backup-simplify]: Simplify -2 into -2 0.696 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.696 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.696 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.696 * [taylor]: Taking taylor expansion of 1/2 in J 0.696 * [backup-simplify]: Simplify 1/2 into 1/2 0.696 * [taylor]: Taking taylor expansion of K in J 0.696 * [backup-simplify]: Simplify K into K 0.696 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.696 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.696 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.696 * [taylor]: Taking taylor expansion of J in J 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 0.697 * [backup-simplify]: Simplify (+ 0) into 0 0.697 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.698 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 0.699 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 0.699 * [taylor]: Taking taylor expansion of 0 in J 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.699 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.700 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.700 * [backup-simplify]: Simplify (* -2 0) into 0 0.700 * [taylor]: Taking taylor expansion of 0 in K 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.701 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 0.701 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 0.701 * [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))) 0.701 * [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)))) 0.702 * [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))) 0.703 * [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))) 0.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.703 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.704 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.705 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [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))) 0.706 * [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)))) 0.706 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 0.706 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 0.706 * [taylor]: Taking taylor expansion of 1/4 in J 0.706 * [backup-simplify]: Simplify 1/4 into 1/4 0.706 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 0.706 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.706 * [taylor]: Taking taylor expansion of 1/2 in J 0.706 * [backup-simplify]: Simplify 1/2 into 1/2 0.706 * [taylor]: Taking taylor expansion of K in J 0.706 * [backup-simplify]: Simplify K into K 0.706 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.706 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.706 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.706 * [taylor]: Taking taylor expansion of J in J 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.707 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.707 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.707 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.707 * [backup-simplify]: Simplify (+ 0) into 0 0.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.709 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.709 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 0.709 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 0.710 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 0.710 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 0.710 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 0.710 * [taylor]: Taking taylor expansion of 1/4 in K 0.710 * [backup-simplify]: Simplify 1/4 into 1/4 0.710 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 0.710 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.710 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.710 * [taylor]: Taking taylor expansion of 1/2 in K 0.710 * [backup-simplify]: Simplify 1/2 into 1/2 0.710 * [taylor]: Taking taylor expansion of K in K 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.711 * [backup-simplify]: Simplify (- 1/4) into -1/4 0.711 * [backup-simplify]: Simplify -1/4 into -1/4 0.711 * [taylor]: Taking taylor expansion of 0 in K 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (+ 0) into 0 0.712 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.713 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.714 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 0.714 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 0.714 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 0.714 * [taylor]: Taking taylor expansion of 2 in K 0.714 * [backup-simplify]: Simplify 2 into 2 0.714 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.714 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.714 * [taylor]: Taking taylor expansion of 1/2 in K 0.714 * [backup-simplify]: Simplify 1/2 into 1/2 0.714 * [taylor]: Taking taylor expansion of K in K 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.715 * [backup-simplify]: Simplify (* 2 1) into 2 0.715 * [backup-simplify]: Simplify (- 2) into -2 0.715 * [backup-simplify]: Simplify -2 into -2 0.715 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ 0) into 0 0.717 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.718 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 0.719 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 0.721 * [backup-simplify]: Simplify (+ 0) into 0 0.722 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.723 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 0.724 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.727 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.729 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [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 0.730 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 0.730 * [taylor]: Taking taylor expansion of 0 in J 0.730 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.732 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.734 * [taylor]: Taking taylor expansion of 0 in K 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [taylor]: Taking taylor expansion of 0 in K 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.736 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.738 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.738 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.740 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 0.740 * [taylor]: Taking taylor expansion of 0 in K 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ 0) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 0.742 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 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)) 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 0.742 * [taylor]: Taking taylor expansion of -2 in K 0.742 * [backup-simplify]: Simplify -2 into -2 0.742 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 0.742 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 0.742 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of (* 1 1) in K 0.742 * [taylor]: Taking taylor expansion of 1 in K 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [taylor]: Taking taylor expansion of 1 in K 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 0.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 0.742 * [taylor]: Taking taylor expansion of 1/2 in K 0.742 * [backup-simplify]: Simplify 1/2 into 1/2 0.742 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 0.742 * [taylor]: Taking taylor expansion of J in K 0.742 * [backup-simplify]: Simplify J into J 0.742 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 0.742 * [taylor]: Taking taylor expansion of U in K 0.742 * [backup-simplify]: Simplify U into U 0.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 0.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 0.742 * [taylor]: Taking taylor expansion of 1/2 in K 0.742 * [backup-simplify]: Simplify 1/2 into 1/2 0.742 * [taylor]: Taking taylor expansion of K in K 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.743 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.743 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 0.743 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 0.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 0.743 * [taylor]: Taking taylor expansion of 1/2 in K 0.743 * [backup-simplify]: Simplify 1/2 into 1/2 0.743 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 0.743 * [taylor]: Taking taylor expansion of J in K 0.743 * [backup-simplify]: Simplify J into J 0.743 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 0.743 * [taylor]: Taking taylor expansion of U in K 0.743 * [backup-simplify]: Simplify U into U 0.743 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 0.743 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 0.743 * [taylor]: Taking taylor expansion of 1/2 in K 0.743 * [backup-simplify]: Simplify 1/2 into 1/2 0.743 * [taylor]: Taking taylor expansion of K in K 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.743 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.743 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 0.743 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.744 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0.744 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0.744 * [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)))) 0.744 * [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) 0.744 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 0.747 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 0.747 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 0.747 * [taylor]: Taking taylor expansion of 1/2 in K 0.747 * [backup-simplify]: Simplify 1/2 into 1/2 0.747 * [taylor]: Taking taylor expansion of K in K 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.747 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.747 * [taylor]: Taking taylor expansion of J in K 0.747 * [backup-simplify]: Simplify J into J 0.748 * [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))) 0.748 * [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)) 0.748 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 0.748 * [taylor]: Taking taylor expansion of -2 in J 0.748 * [backup-simplify]: Simplify -2 into -2 0.748 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 0.748 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 0.748 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 0.748 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 0.748 * [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 0.748 * [taylor]: Taking taylor expansion of (* 1 1) in J 0.748 * [taylor]: Taking taylor expansion of 1 in J 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of 1 in J 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 0.748 * [taylor]: Taking taylor expansion of 1/2 in J 0.748 * [backup-simplify]: Simplify 1/2 into 1/2 0.748 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 0.748 * [taylor]: Taking taylor expansion of J in J 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 0.748 * [taylor]: Taking taylor expansion of U in J 0.748 * [backup-simplify]: Simplify U into U 0.748 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 0.748 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 0.748 * [taylor]: Taking taylor expansion of 1/2 in J 0.748 * [backup-simplify]: Simplify 1/2 into 1/2 0.748 * [taylor]: Taking taylor expansion of K in J 0.748 * [backup-simplify]: Simplify K into K 0.748 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.748 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.748 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.749 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.749 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.749 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.749 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 0.749 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 0.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 0.749 * [taylor]: Taking taylor expansion of 1/2 in J 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 0.749 * [taylor]: Taking taylor expansion of J in J 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 0.749 * [taylor]: Taking taylor expansion of U in J 0.749 * [backup-simplify]: Simplify U into U 0.749 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 0.749 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 0.749 * [taylor]: Taking taylor expansion of 1/2 in J 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of K in J 0.749 * [backup-simplify]: Simplify K into K 0.749 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.749 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.749 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.749 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.749 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.750 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 0.750 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.750 * [backup-simplify]: Simplify (+ 1 0) into 1 0.751 * [backup-simplify]: Simplify (sqrt 1) into 1 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.752 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 0.752 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 0.752 * [taylor]: Taking taylor expansion of 1/2 in J 0.752 * [backup-simplify]: Simplify 1/2 into 1/2 0.752 * [taylor]: Taking taylor expansion of K in J 0.752 * [backup-simplify]: Simplify K into K 0.752 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.752 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.752 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.752 * [taylor]: Taking taylor expansion of J in J 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.752 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.752 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.753 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 0.753 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.753 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 0.753 * [taylor]: Taking taylor expansion of -2 in U 0.753 * [backup-simplify]: Simplify -2 into -2 0.753 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 0.753 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 0.753 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 0.753 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 0.753 * [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 0.753 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.753 * [taylor]: Taking taylor expansion of 1 in U 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of 1 in U 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 0.753 * [taylor]: Taking taylor expansion of 1/2 in U 0.753 * [backup-simplify]: Simplify 1/2 into 1/2 0.753 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 0.753 * [taylor]: Taking taylor expansion of J in U 0.753 * [backup-simplify]: Simplify J into J 0.753 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 0.753 * [taylor]: Taking taylor expansion of U in U 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 0.753 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 0.753 * [taylor]: Taking taylor expansion of 1/2 in U 0.753 * [backup-simplify]: Simplify 1/2 into 1/2 0.753 * [taylor]: Taking taylor expansion of K in U 0.753 * [backup-simplify]: Simplify K into K 0.753 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.753 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.753 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.753 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.754 * [backup-simplify]: Simplify (- 0) into 0 0.754 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.754 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 0.754 * [backup-simplify]: Simplify (+ 0) into 0 0.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 0.754 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 0.756 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 0.756 * [taylor]: Taking taylor expansion of 1/2 in U 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 0.756 * [taylor]: Taking taylor expansion of J in U 0.756 * [backup-simplify]: Simplify J into J 0.756 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 0.756 * [taylor]: Taking taylor expansion of U in U 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 0.756 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 0.756 * [taylor]: Taking taylor expansion of 1/2 in U 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of K in U 0.756 * [backup-simplify]: Simplify K into K 0.756 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.756 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.756 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.756 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.757 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.757 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.757 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 0.757 * [backup-simplify]: Simplify (+ 0) into 0 0.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 0.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 0.759 * [backup-simplify]: Simplify (- 0) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 0.759 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 0.759 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 0.759 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 0.759 * [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))) 0.760 * [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))) 0.760 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 0.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.762 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 0.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 0.767 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 0.768 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 0.768 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 0.768 * [taylor]: Taking taylor expansion of 1/2 in U 0.768 * [backup-simplify]: Simplify 1/2 into 1/2 0.768 * [taylor]: Taking taylor expansion of K in U 0.768 * [backup-simplify]: Simplify K into K 0.768 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.768 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.768 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.768 * [taylor]: Taking taylor expansion of J in U 0.768 * [backup-simplify]: Simplify J into J 0.768 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.768 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.769 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 0.769 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 0.769 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 0.769 * [taylor]: Taking taylor expansion of -2 in U 0.769 * [backup-simplify]: Simplify -2 into -2 0.769 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 0.769 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 0.769 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 0.769 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 0.769 * [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 0.769 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.769 * [taylor]: Taking taylor expansion of 1 in U 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of 1 in U 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 0.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 0.770 * [taylor]: Taking taylor expansion of 1/2 in U 0.770 * [backup-simplify]: Simplify 1/2 into 1/2 0.770 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 0.770 * [taylor]: Taking taylor expansion of J in U 0.770 * [backup-simplify]: Simplify J into J 0.770 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 0.770 * [taylor]: Taking taylor expansion of U in U 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 0.770 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 0.770 * [taylor]: Taking taylor expansion of 1/2 in U 0.770 * [backup-simplify]: Simplify 1/2 into 1/2 0.770 * [taylor]: Taking taylor expansion of K in U 0.770 * [backup-simplify]: Simplify K into K 0.770 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.770 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.770 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.770 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.770 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.771 * [backup-simplify]: Simplify (- 0) into 0 0.771 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.771 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 0.771 * [backup-simplify]: Simplify (+ 0) into 0 0.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 0.774 * [backup-simplify]: Simplify (- 0) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 0.775 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 0.775 * [taylor]: Taking taylor expansion of 1/2 in U 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 0.775 * [taylor]: Taking taylor expansion of J in U 0.775 * [backup-simplify]: Simplify J into J 0.775 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 0.775 * [taylor]: Taking taylor expansion of U in U 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 0.775 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 0.775 * [taylor]: Taking taylor expansion of 1/2 in U 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of K in U 0.775 * [backup-simplify]: Simplify K into K 0.775 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.776 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.776 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.776 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.776 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.776 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 0.777 * [backup-simplify]: Simplify (+ 0) into 0 0.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 0.780 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 0.780 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 0.780 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 0.780 * [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))) 0.781 * [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))) 0.781 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 0.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.783 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 0.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 0.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.786 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.786 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.787 * [backup-simplify]: Simplify (- 0) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 0.788 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 0.789 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 0.789 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 0.789 * [taylor]: Taking taylor expansion of 1/2 in U 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of K in U 0.789 * [backup-simplify]: Simplify K into K 0.789 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.789 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.789 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.789 * [taylor]: Taking taylor expansion of J in U 0.789 * [backup-simplify]: Simplify J into J 0.789 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.789 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.790 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 0.790 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 0.790 * [backup-simplify]: Simplify (* -2 1/2) into -1 0.790 * [taylor]: Taking taylor expansion of -1 in J 0.790 * [backup-simplify]: Simplify -1 into -1 0.790 * [backup-simplify]: Simplify (+ 0) into 0 0.791 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 0.791 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 0.792 * [backup-simplify]: Simplify (- 0) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 0.792 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 0.793 * [taylor]: Taking taylor expansion of 0 in J 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [taylor]: Taking taylor expansion of -1 in K 0.793 * [backup-simplify]: Simplify -1 into -1 0.793 * [backup-simplify]: Simplify -1 into -1 0.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.797 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 0.800 * [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 0.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 0.801 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 0.806 * [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 0.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 0.807 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 0.808 * [backup-simplify]: Simplify (+ 1 0) into 1 0.809 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 0.809 * [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) 0.810 * [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)) 0.810 * [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)))) 0.811 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 0.811 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 0.811 * [taylor]: Taking taylor expansion of 2 in J 0.811 * [backup-simplify]: Simplify 2 into 2 0.811 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 0.811 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 0.811 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 0.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 0.811 * [taylor]: Taking taylor expansion of 1/2 in J 0.811 * [backup-simplify]: Simplify 1/2 into 1/2 0.811 * [taylor]: Taking taylor expansion of K in J 0.811 * [backup-simplify]: Simplify K into K 0.811 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.811 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.811 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.811 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.812 * [backup-simplify]: Simplify (- 0) into 0 0.812 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.812 * [taylor]: Taking taylor expansion of (pow J 2) in J 0.812 * [taylor]: Taking taylor expansion of J in J 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 0.813 * [backup-simplify]: Simplify (+ 0) into 0 0.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 0.819 * [backup-simplify]: Simplify (- 0) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in K 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [taylor]: Taking taylor expansion of 0 in K 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [taylor]: Taking taylor expansion of 0 in K 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.824 * [backup-simplify]: Simplify (- 0) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.827 * [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 0.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.831 * [backup-simplify]: Simplify (- 0) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 0.833 * [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 0.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 0.835 * [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 0.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.836 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 0.838 * [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 0.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 0.840 * [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 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 0.841 * [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 0.841 * [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 0.842 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 0.842 * [taylor]: Taking taylor expansion of 0 in J 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [taylor]: Taking taylor expansion of 0 in K 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in K 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 0.847 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 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)) 0.847 * [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 0.847 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 0.847 * [taylor]: Taking taylor expansion of 2 in K 0.847 * [backup-simplify]: Simplify 2 into 2 0.847 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 0.847 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 0.847 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 0.847 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 0.847 * [taylor]: Taking taylor expansion of -1/2 in K 0.847 * [backup-simplify]: Simplify -1/2 into -1/2 0.847 * [taylor]: Taking taylor expansion of K in K 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.847 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.848 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 0.848 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 0.848 * [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 0.848 * [taylor]: Taking taylor expansion of (* 1 1) in K 0.848 * [taylor]: Taking taylor expansion of 1 in K 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of 1 in K 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 0.848 * [taylor]: Taking taylor expansion of 1/2 in K 0.848 * [backup-simplify]: Simplify 1/2 into 1/2 0.848 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 0.848 * [taylor]: Taking taylor expansion of J in K 0.848 * [backup-simplify]: Simplify J into J 0.848 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 0.848 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 0.848 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 0.848 * [taylor]: Taking taylor expansion of -1/2 in K 0.848 * [backup-simplify]: Simplify -1/2 into -1/2 0.848 * [taylor]: Taking taylor expansion of K in K 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.848 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.848 * [taylor]: Taking taylor expansion of U in K 0.848 * [backup-simplify]: Simplify U into U 0.848 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 0.848 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 0.848 * [taylor]: Taking taylor expansion of 1/2 in K 0.848 * [backup-simplify]: Simplify 1/2 into 1/2 0.848 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 0.848 * [taylor]: Taking taylor expansion of J in K 0.849 * [backup-simplify]: Simplify J into J 0.849 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 0.849 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 0.849 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 0.849 * [taylor]: Taking taylor expansion of -1/2 in K 0.849 * [backup-simplify]: Simplify -1/2 into -1/2 0.849 * [taylor]: Taking taylor expansion of K in K 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.849 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.849 * [taylor]: Taking taylor expansion of U in K 0.849 * [backup-simplify]: Simplify U into U 0.849 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 0.849 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0.850 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0.850 * [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)))) 0.850 * [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))))) 0.850 * [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)))))) 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 0.851 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 0.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 0.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 0.851 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 0.853 * [taylor]: Taking taylor expansion of J in K 0.853 * [backup-simplify]: Simplify J into J 0.853 * [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))))))) 0.853 * [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))))))) 0.853 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 0.853 * [taylor]: Taking taylor expansion of 2 in J 0.853 * [backup-simplify]: Simplify 2 into 2 0.853 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 0.853 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 0.853 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 0.853 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 0.853 * [taylor]: Taking taylor expansion of -1/2 in J 0.853 * [backup-simplify]: Simplify -1/2 into -1/2 0.853 * [taylor]: Taking taylor expansion of K in J 0.853 * [backup-simplify]: Simplify K into K 0.853 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.853 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.853 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.853 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 0.853 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 0.853 * [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 0.853 * [taylor]: Taking taylor expansion of (* 1 1) in J 0.854 * [taylor]: Taking taylor expansion of 1 in J 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [taylor]: Taking taylor expansion of 1 in J 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 0.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 0.854 * [taylor]: Taking taylor expansion of 1/2 in J 0.854 * [backup-simplify]: Simplify 1/2 into 1/2 0.854 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 0.854 * [taylor]: Taking taylor expansion of J in J 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 0.854 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 0.854 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 0.854 * [taylor]: Taking taylor expansion of -1/2 in J 0.854 * [backup-simplify]: Simplify -1/2 into -1/2 0.854 * [taylor]: Taking taylor expansion of K in J 0.854 * [backup-simplify]: Simplify K into K 0.854 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.854 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.854 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.854 * [taylor]: Taking taylor expansion of U in J 0.854 * [backup-simplify]: Simplify U into U 0.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.854 * [backup-simplify]: Simplify (- 0) into 0 0.855 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.855 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 0.855 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 0.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 0.855 * [taylor]: Taking taylor expansion of 1/2 in J 0.855 * [backup-simplify]: Simplify 1/2 into 1/2 0.855 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 0.855 * [taylor]: Taking taylor expansion of J in J 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 0.855 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 0.855 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 0.855 * [taylor]: Taking taylor expansion of -1/2 in J 0.855 * [backup-simplify]: Simplify -1/2 into -1/2 0.855 * [taylor]: Taking taylor expansion of K in J 0.855 * [backup-simplify]: Simplify K into K 0.855 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.855 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.855 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.855 * [taylor]: Taking taylor expansion of U in J 0.855 * [backup-simplify]: Simplify U into U 0.855 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.856 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.856 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 0.856 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 0.857 * [backup-simplify]: Simplify (* 1 1) into 1 0.857 * [backup-simplify]: Simplify (+ 1 0) into 1 0.858 * [backup-simplify]: Simplify (sqrt 1) into 1 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.859 * [taylor]: Taking taylor expansion of J in J 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.860 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.860 * [backup-simplify]: Simplify (- 0) into 0 0.860 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.860 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.860 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.860 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 0.860 * [taylor]: Taking taylor expansion of 2 in U 0.860 * [backup-simplify]: Simplify 2 into 2 0.860 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 0.860 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 0.860 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 0.861 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 0.861 * [taylor]: Taking taylor expansion of -1/2 in U 0.861 * [backup-simplify]: Simplify -1/2 into -1/2 0.861 * [taylor]: Taking taylor expansion of K in U 0.861 * [backup-simplify]: Simplify K into K 0.861 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.861 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.861 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.861 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 0.861 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 0.861 * [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 0.861 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.861 * [taylor]: Taking taylor expansion of 1 in U 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [taylor]: Taking taylor expansion of 1 in U 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 0.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 0.861 * [taylor]: Taking taylor expansion of 1/2 in U 0.861 * [backup-simplify]: Simplify 1/2 into 1/2 0.861 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 0.861 * [taylor]: Taking taylor expansion of J in U 0.861 * [backup-simplify]: Simplify J into J 0.861 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 0.861 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 0.861 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 0.861 * [taylor]: Taking taylor expansion of -1/2 in U 0.861 * [backup-simplify]: Simplify -1/2 into -1/2 0.861 * [taylor]: Taking taylor expansion of K in U 0.861 * [backup-simplify]: Simplify K into K 0.861 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.862 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.862 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.862 * [taylor]: Taking taylor expansion of U in U 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.862 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.862 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 0.863 * [backup-simplify]: Simplify (+ 0) into 0 0.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.865 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 0.865 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 0.866 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 0.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 0.866 * [taylor]: Taking taylor expansion of 1/2 in U 0.866 * [backup-simplify]: Simplify 1/2 into 1/2 0.866 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 0.866 * [taylor]: Taking taylor expansion of J in U 0.866 * [backup-simplify]: Simplify J into J 0.866 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 0.866 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 0.866 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 0.866 * [taylor]: Taking taylor expansion of -1/2 in U 0.866 * [backup-simplify]: Simplify -1/2 into -1/2 0.866 * [taylor]: Taking taylor expansion of K in U 0.866 * [backup-simplify]: Simplify K into K 0.867 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.867 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.867 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.867 * [taylor]: Taking taylor expansion of U in U 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.867 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.867 * [backup-simplify]: Simplify (- 0) into 0 0.867 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.867 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 0.868 * [backup-simplify]: Simplify (+ 0) into 0 0.868 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.870 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 0.870 * [backup-simplify]: Simplify (- 0) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 0.871 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 0.871 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 0.871 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 0.872 * [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))) 0.872 * [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))) 0.872 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 0.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.874 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.875 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.876 * [backup-simplify]: Simplify (- 0) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 0.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.879 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.880 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.881 * [backup-simplify]: Simplify (- 0) into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.882 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 0.883 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 0.884 * [taylor]: Taking taylor expansion of J in U 0.884 * [backup-simplify]: Simplify J into J 0.884 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.884 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.884 * [backup-simplify]: Simplify (- 0) into 0 0.885 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.885 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 0.885 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 0.885 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 0.885 * [taylor]: Taking taylor expansion of 2 in U 0.885 * [backup-simplify]: Simplify 2 into 2 0.885 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 0.885 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 0.885 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 0.885 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 0.885 * [taylor]: Taking taylor expansion of -1/2 in U 0.885 * [backup-simplify]: Simplify -1/2 into -1/2 0.885 * [taylor]: Taking taylor expansion of K in U 0.885 * [backup-simplify]: Simplify K into K 0.885 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.885 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.885 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.885 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 0.885 * [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 0.885 * [taylor]: Taking taylor expansion of (* 1 1) in U 0.886 * [taylor]: Taking taylor expansion of 1 in U 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of 1 in U 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 0.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 0.886 * [taylor]: Taking taylor expansion of 1/2 in U 0.886 * [backup-simplify]: Simplify 1/2 into 1/2 0.886 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 0.886 * [taylor]: Taking taylor expansion of J in U 0.886 * [backup-simplify]: Simplify J into J 0.886 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 0.886 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 0.886 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 0.886 * [taylor]: Taking taylor expansion of -1/2 in U 0.886 * [backup-simplify]: Simplify -1/2 into -1/2 0.886 * [taylor]: Taking taylor expansion of K in U 0.886 * [backup-simplify]: Simplify K into K 0.886 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.886 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.886 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.886 * [taylor]: Taking taylor expansion of U in U 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.886 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.887 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 0.887 * [backup-simplify]: Simplify (+ 0) into 0 0.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 0.889 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 0.890 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 0.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 0.890 * [taylor]: Taking taylor expansion of 1/2 in U 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 0.891 * [taylor]: Taking taylor expansion of J in U 0.891 * [backup-simplify]: Simplify J into J 0.891 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 0.891 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 0.891 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 0.891 * [taylor]: Taking taylor expansion of -1/2 in U 0.891 * [backup-simplify]: Simplify -1/2 into -1/2 0.891 * [taylor]: Taking taylor expansion of K in U 0.891 * [backup-simplify]: Simplify K into K 0.891 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.891 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.891 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.891 * [taylor]: Taking taylor expansion of U in U 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.891 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.892 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.892 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 0.892 * [backup-simplify]: Simplify (+ 0) into 0 0.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 0.893 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 0.896 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 0.896 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 0.896 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 0.896 * [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))) 0.896 * [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))) 0.897 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 0.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.900 * [backup-simplify]: Simplify (- 0) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 0.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.904 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.905 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 0.908 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 0.908 * [taylor]: Taking taylor expansion of J in U 0.908 * [backup-simplify]: Simplify J into J 0.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.909 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.909 * [backup-simplify]: Simplify (- 0) into 0 0.909 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.909 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 0.909 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 0.910 * [backup-simplify]: Simplify (* 2 1/2) into 1 0.910 * [taylor]: Taking taylor expansion of 1 in J 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (+ 0) into 0 0.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 0.914 * [taylor]: Taking taylor expansion of 0 in J 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [taylor]: Taking taylor expansion of 1 in K 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.921 * [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 0.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.926 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.928 * [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 0.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 0.929 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 0.930 * [backup-simplify]: Simplify (+ 1 0) into 1 0.931 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 0.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [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) 0.935 * [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)) 0.936 * [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))) 0.936 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 0.936 * [taylor]: Taking taylor expansion of 2 in J 0.936 * [backup-simplify]: Simplify 2 into 2 0.936 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 0.936 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 0.936 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 0.936 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 0.936 * [taylor]: Taking taylor expansion of -1/2 in J 0.936 * [backup-simplify]: Simplify -1/2 into -1/2 0.936 * [taylor]: Taking taylor expansion of K in J 0.936 * [backup-simplify]: Simplify K into K 0.936 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.936 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.936 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.936 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.936 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.936 * [backup-simplify]: Simplify (- 0) into 0 0.936 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.936 * [taylor]: Taking taylor expansion of (pow J 2) in J 0.936 * [taylor]: Taking taylor expansion of J in J 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 0.937 * [backup-simplify]: Simplify (+ 0) into 0 0.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 0.938 * [backup-simplify]: Simplify (- 0) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 0.940 * [taylor]: Taking taylor expansion of 0 in K 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in K 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in K 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.942 * [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 0.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.944 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.945 * [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 0.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 0.949 * [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 0.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.951 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 0.953 * [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 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 0.954 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.956 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [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 0.957 * [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 0.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in J 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.959 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 0.963 * [taylor]: Taking taylor expansion of 0 in K 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [taylor]: Taking taylor expansion of 0 in K 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 0.963 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.963 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 0.963 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 0.963 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 0.963 * [taylor]: Taking taylor expansion of 2 in K 0.963 * [backup-simplify]: Simplify 2 into 2 0.963 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 0.963 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.963 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.963 * [taylor]: Taking taylor expansion of 1/2 in K 0.963 * [backup-simplify]: Simplify 1/2 into 1/2 0.963 * [taylor]: Taking taylor expansion of K in K 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.964 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.964 * [taylor]: Taking taylor expansion of J in K 0.964 * [backup-simplify]: Simplify J into J 0.964 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 0.964 * [taylor]: Taking taylor expansion of 2 in J 0.964 * [backup-simplify]: Simplify 2 into 2 0.964 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.964 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.964 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.964 * [taylor]: Taking taylor expansion of 1/2 in J 0.964 * [backup-simplify]: Simplify 1/2 into 1/2 0.964 * [taylor]: Taking taylor expansion of K in J 0.964 * [backup-simplify]: Simplify K into K 0.964 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.964 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.964 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.964 * [taylor]: Taking taylor expansion of J in J 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 0.964 * [taylor]: Taking taylor expansion of 2 in J 0.964 * [backup-simplify]: Simplify 2 into 2 0.964 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 0.964 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 0.964 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 0.964 * [taylor]: Taking taylor expansion of 1/2 in J 0.965 * [backup-simplify]: Simplify 1/2 into 1/2 0.965 * [taylor]: Taking taylor expansion of K in J 0.965 * [backup-simplify]: Simplify K into K 0.965 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 0.965 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 0.965 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 0.965 * [taylor]: Taking taylor expansion of J in J 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 0.965 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 0.965 * [backup-simplify]: Simplify (- 0) into 0 0.965 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 0.965 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 0.965 * [backup-simplify]: Simplify (* 2 0) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in K 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ 0) into 0 0.966 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.967 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 0.967 * [backup-simplify]: Simplify (- 0) into 0 0.968 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 0.968 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 0.968 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 0.968 * [taylor]: Taking taylor expansion of 2 in K 0.968 * [backup-simplify]: Simplify 2 into 2 0.968 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 0.968 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 0.968 * [taylor]: Taking taylor expansion of 1/2 in K 0.968 * [backup-simplify]: Simplify 1/2 into 1/2 0.968 * [taylor]: Taking taylor expansion of K in K 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.969 * [backup-simplify]: Simplify (* 2 1) into 2 0.969 * [backup-simplify]: Simplify 2 into 2 0.969 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.972 * [backup-simplify]: Simplify (- 0) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 0.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 0.973 * [taylor]: Taking taylor expansion of 0 in K 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ 0) into 0 0.974 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 0.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.979 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 0.981 * [taylor]: Taking taylor expansion of 0 in K 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 0.982 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 0.982 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 0.982 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 0.982 * [taylor]: Taking taylor expansion of 2 in K 0.982 * [backup-simplify]: Simplify 2 into 2 0.982 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 0.982 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 0.982 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 0.982 * [taylor]: Taking taylor expansion of 1/2 in K 0.982 * [backup-simplify]: Simplify 1/2 into 1/2 0.982 * [taylor]: Taking taylor expansion of K in K 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.982 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.982 * [taylor]: Taking taylor expansion of J in K 0.982 * [backup-simplify]: Simplify J into J 0.982 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 0.983 * [taylor]: Taking taylor expansion of 2 in J 0.983 * [backup-simplify]: Simplify 2 into 2 0.983 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 0.983 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 0.983 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 0.983 * [taylor]: Taking taylor expansion of 1/2 in J 0.983 * [backup-simplify]: Simplify 1/2 into 1/2 0.983 * [taylor]: Taking taylor expansion of K in J 0.983 * [backup-simplify]: Simplify K into K 0.983 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.983 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.983 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.983 * [taylor]: Taking taylor expansion of J in J 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.983 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.983 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.983 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 0.983 * [taylor]: Taking taylor expansion of 2 in J 0.983 * [backup-simplify]: Simplify 2 into 2 0.983 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 0.983 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 0.983 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 0.983 * [taylor]: Taking taylor expansion of 1/2 in J 0.983 * [backup-simplify]: Simplify 1/2 into 1/2 0.983 * [taylor]: Taking taylor expansion of K in J 0.983 * [backup-simplify]: Simplify K into K 0.983 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 0.984 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.984 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 0.984 * [taylor]: Taking taylor expansion of J in J 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.984 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.984 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 0.984 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 0.984 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 0.984 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 0.984 * [taylor]: Taking taylor expansion of 2 in K 0.984 * [backup-simplify]: Simplify 2 into 2 0.984 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 0.984 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 0.984 * [taylor]: Taking taylor expansion of 1/2 in K 0.984 * [backup-simplify]: Simplify 1/2 into 1/2 0.984 * [taylor]: Taking taylor expansion of K in K 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 0.985 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 0.985 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 0.985 * [backup-simplify]: Simplify (+ 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 0.987 * [backup-simplify]: Simplify (- 0) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 0.988 * [taylor]: Taking taylor expansion of 0 in K 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 0.992 * [taylor]: Taking taylor expansion of 0 in K 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in K 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 0.998 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 0.998 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 0.998 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 0.998 * [taylor]: Taking taylor expansion of -2 in K 0.998 * [backup-simplify]: Simplify -2 into -2 0.998 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 0.998 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 0.998 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 0.998 * [taylor]: Taking taylor expansion of -1/2 in K 0.998 * [backup-simplify]: Simplify -1/2 into -1/2 0.998 * [taylor]: Taking taylor expansion of K in K 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.998 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.998 * [taylor]: Taking taylor expansion of J in K 0.998 * [backup-simplify]: Simplify J into J 0.998 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 0.998 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 0.998 * [taylor]: Taking taylor expansion of -2 in J 0.998 * [backup-simplify]: Simplify -2 into -2 0.998 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 0.998 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 0.998 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 0.998 * [taylor]: Taking taylor expansion of -1/2 in J 0.998 * [backup-simplify]: Simplify -1/2 into -1/2 0.999 * [taylor]: Taking taylor expansion of K in J 0.999 * [backup-simplify]: Simplify K into K 0.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.999 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.999 * [taylor]: Taking taylor expansion of J in J 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.999 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 0.999 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 0.999 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 0.999 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 0.999 * [taylor]: Taking taylor expansion of -2 in J 0.999 * [backup-simplify]: Simplify -2 into -2 0.999 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 0.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 0.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 0.999 * [taylor]: Taking taylor expansion of -1/2 in J 0.999 * [backup-simplify]: Simplify -1/2 into -1/2 0.999 * [taylor]: Taking taylor expansion of K in J 0.999 * [backup-simplify]: Simplify K into K 0.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 0.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 0.999 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 0.999 * [taylor]: Taking taylor expansion of J in J 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.000 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.000 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.000 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 1.000 * [taylor]: Taking taylor expansion of -2 in K 1.000 * [backup-simplify]: Simplify -2 into -2 1.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.000 * [taylor]: Taking taylor expansion of -1/2 in K 1.000 * [backup-simplify]: Simplify -1/2 into -1/2 1.000 * [taylor]: Taking taylor expansion of K in K 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.001 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.001 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.001 * [backup-simplify]: Simplify (+ 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.002 * [backup-simplify]: Simplify (- 0) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.003 * [taylor]: Taking taylor expansion of 0 in K 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.007 * [taylor]: Taking taylor expansion of 0 in K 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.011 * [backup-simplify]: Simplify (- 0) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.013 * [taylor]: Taking taylor expansion of 0 in K 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 1.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.013 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.013 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 1.013 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.013 * [taylor]: Taking taylor expansion of -2 in J 1.013 * [backup-simplify]: Simplify -2 into -2 1.013 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.013 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.013 * [taylor]: Taking taylor expansion of 1/2 in J 1.013 * [backup-simplify]: Simplify 1/2 into 1/2 1.013 * [taylor]: Taking taylor expansion of K in J 1.013 * [backup-simplify]: Simplify K into K 1.013 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.013 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.013 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.013 * [taylor]: Taking taylor expansion of J in J 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.014 * [taylor]: Taking taylor expansion of -2 in K 1.014 * [backup-simplify]: Simplify -2 into -2 1.014 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.014 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.014 * [taylor]: Taking taylor expansion of 1/2 in K 1.014 * [backup-simplify]: Simplify 1/2 into 1/2 1.014 * [taylor]: Taking taylor expansion of K in K 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.015 * [taylor]: Taking taylor expansion of J in K 1.015 * [backup-simplify]: Simplify J into J 1.015 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.015 * [taylor]: Taking taylor expansion of -2 in K 1.015 * [backup-simplify]: Simplify -2 into -2 1.015 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.015 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.015 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.015 * [taylor]: Taking taylor expansion of 1/2 in K 1.015 * [backup-simplify]: Simplify 1/2 into 1/2 1.015 * [taylor]: Taking taylor expansion of K in K 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.016 * [taylor]: Taking taylor expansion of J in K 1.016 * [backup-simplify]: Simplify J into J 1.016 * [backup-simplify]: Simplify (* 1 J) into J 1.016 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.016 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.016 * [taylor]: Taking taylor expansion of -2 in J 1.016 * [backup-simplify]: Simplify -2 into -2 1.016 * [taylor]: Taking taylor expansion of J in J 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* -2 0) into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ 0) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.018 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.018 * [taylor]: Taking taylor expansion of 0 in J 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.019 * [backup-simplify]: Simplify -2 into -2 1.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.022 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.022 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.022 * [taylor]: Taking taylor expansion of 1/4 in J 1.022 * [backup-simplify]: Simplify 1/4 into 1/4 1.022 * [taylor]: Taking taylor expansion of J in J 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.026 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.028 * [taylor]: Taking taylor expansion of 0 in J 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 1.029 * [backup-simplify]: Simplify 1/4 into 1/4 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.034 * [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 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.036 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 1.037 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 1.037 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 1.037 * [taylor]: Taking taylor expansion of 1/192 in J 1.037 * [backup-simplify]: Simplify 1/192 into 1/192 1.037 * [taylor]: Taking taylor expansion of J in J 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (* 1/192 0) into 0 1.037 * [backup-simplify]: Simplify (- 0) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 1.039 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.039 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 1.039 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.039 * [taylor]: Taking taylor expansion of -2 in J 1.039 * [backup-simplify]: Simplify -2 into -2 1.039 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.039 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.039 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.039 * [taylor]: Taking taylor expansion of 1/2 in J 1.039 * [backup-simplify]: Simplify 1/2 into 1/2 1.039 * [taylor]: Taking taylor expansion of K in J 1.039 * [backup-simplify]: Simplify K into K 1.039 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.039 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.039 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.039 * [taylor]: Taking taylor expansion of J in J 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.039 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.039 * [backup-simplify]: Simplify (- 0) into 0 1.040 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.040 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.040 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.040 * [taylor]: Taking taylor expansion of -2 in K 1.040 * [backup-simplify]: Simplify -2 into -2 1.040 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.040 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.040 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.040 * [taylor]: Taking taylor expansion of 1/2 in K 1.040 * [backup-simplify]: Simplify 1/2 into 1/2 1.040 * [taylor]: Taking taylor expansion of K in K 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.040 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.040 * [taylor]: Taking taylor expansion of J in K 1.040 * [backup-simplify]: Simplify J into J 1.040 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.040 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.040 * [taylor]: Taking taylor expansion of -2 in K 1.040 * [backup-simplify]: Simplify -2 into -2 1.040 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.040 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.040 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.040 * [taylor]: Taking taylor expansion of 1/2 in K 1.040 * [backup-simplify]: Simplify 1/2 into 1/2 1.040 * [taylor]: Taking taylor expansion of K in K 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.041 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.041 * [taylor]: Taking taylor expansion of J in K 1.041 * [backup-simplify]: Simplify J into J 1.041 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.041 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.041 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.041 * [taylor]: Taking taylor expansion of -2 in J 1.041 * [backup-simplify]: Simplify -2 into -2 1.041 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.041 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.041 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.041 * [taylor]: Taking taylor expansion of 1/2 in J 1.041 * [backup-simplify]: Simplify 1/2 into 1/2 1.041 * [taylor]: Taking taylor expansion of K in J 1.041 * [backup-simplify]: Simplify K into K 1.041 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.041 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.041 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.041 * [taylor]: Taking taylor expansion of J in J 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.041 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.042 * [backup-simplify]: Simplify (- 0) into 0 1.042 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.042 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.042 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.042 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.042 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.042 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.042 * [taylor]: Taking taylor expansion of 0 in J 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ 0) into 0 1.043 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.044 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.044 * [backup-simplify]: Simplify (- 0) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in J 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.049 * [backup-simplify]: Simplify (- 0) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.052 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.052 * [taylor]: Taking taylor expansion of 0 in J 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.055 * [backup-simplify]: Simplify (- 0) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.057 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.057 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.057 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.057 * [taylor]: Taking taylor expansion of 2 in J 1.057 * [backup-simplify]: Simplify 2 into 2 1.057 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.057 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.057 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.057 * [taylor]: Taking taylor expansion of -1/2 in J 1.057 * [backup-simplify]: Simplify -1/2 into -1/2 1.057 * [taylor]: Taking taylor expansion of K in J 1.057 * [backup-simplify]: Simplify K into K 1.057 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.058 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.058 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.058 * [taylor]: Taking taylor expansion of J in J 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.058 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.058 * [backup-simplify]: Simplify (- 0) into 0 1.058 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.058 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.058 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.058 * [taylor]: Taking taylor expansion of 2 in K 1.058 * [backup-simplify]: Simplify 2 into 2 1.058 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.058 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.058 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.058 * [taylor]: Taking taylor expansion of -1/2 in K 1.058 * [backup-simplify]: Simplify -1/2 into -1/2 1.058 * [taylor]: Taking taylor expansion of K in K 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.059 * [taylor]: Taking taylor expansion of J in K 1.059 * [backup-simplify]: Simplify J into J 1.059 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.059 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.059 * [taylor]: Taking taylor expansion of 2 in K 1.059 * [backup-simplify]: Simplify 2 into 2 1.059 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.059 * [taylor]: Taking taylor expansion of -1/2 in K 1.059 * [backup-simplify]: Simplify -1/2 into -1/2 1.059 * [taylor]: Taking taylor expansion of K in K 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.059 * [taylor]: Taking taylor expansion of J in K 1.059 * [backup-simplify]: Simplify J into J 1.059 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.059 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.059 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.059 * [taylor]: Taking taylor expansion of 2 in J 1.059 * [backup-simplify]: Simplify 2 into 2 1.059 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.059 * [taylor]: Taking taylor expansion of -1/2 in J 1.059 * [backup-simplify]: Simplify -1/2 into -1/2 1.059 * [taylor]: Taking taylor expansion of K in J 1.060 * [backup-simplify]: Simplify K into K 1.060 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.060 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.060 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.060 * [taylor]: Taking taylor expansion of J in J 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.060 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.060 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.060 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.060 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.060 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.060 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.061 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.061 * [taylor]: Taking taylor expansion of 0 in J 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ 0) into 0 1.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.061 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.063 * [backup-simplify]: Simplify (- 0) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.064 * [taylor]: Taking taylor expansion of 0 in J 1.064 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.065 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.066 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.066 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.067 * [backup-simplify]: Simplify (- 0) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.069 * [taylor]: Taking taylor expansion of 0 in J 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.074 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.074 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.074 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 1.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.074 * [taylor]: Taking taylor expansion of 1/2 in K 1.074 * [backup-simplify]: Simplify 1/2 into 1/2 1.074 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.074 * [taylor]: Taking taylor expansion of U in K 1.075 * [backup-simplify]: Simplify U into U 1.075 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.075 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.075 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.075 * [taylor]: Taking taylor expansion of 1/2 in K 1.075 * [backup-simplify]: Simplify 1/2 into 1/2 1.075 * [taylor]: Taking taylor expansion of K in K 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.075 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.075 * [taylor]: Taking taylor expansion of J in K 1.075 * [backup-simplify]: Simplify J into J 1.075 * [backup-simplify]: Simplify (* 1 J) into J 1.075 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.075 * [taylor]: Taking taylor expansion of 1/2 in J 1.075 * [backup-simplify]: Simplify 1/2 into 1/2 1.076 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.076 * [taylor]: Taking taylor expansion of U in J 1.076 * [backup-simplify]: Simplify U into U 1.076 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.076 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.076 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.076 * [taylor]: Taking taylor expansion of 1/2 in J 1.076 * [backup-simplify]: Simplify 1/2 into 1/2 1.076 * [taylor]: Taking taylor expansion of K in J 1.076 * [backup-simplify]: Simplify K into K 1.076 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.076 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.076 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.076 * [taylor]: Taking taylor expansion of J in J 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.076 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.076 * [backup-simplify]: Simplify (- 0) into 0 1.076 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.076 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.076 * [backup-simplify]: Simplify (+ 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.078 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.078 * [backup-simplify]: Simplify (- 0) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.079 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.079 * [taylor]: Taking taylor expansion of 1/2 in U 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.079 * [taylor]: Taking taylor expansion of U in U 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.079 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.079 * [taylor]: Taking taylor expansion of 1/2 in U 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [taylor]: Taking taylor expansion of K in U 1.079 * [backup-simplify]: Simplify K into K 1.079 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.079 * [taylor]: Taking taylor expansion of J in U 1.079 * [backup-simplify]: Simplify J into J 1.079 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.079 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.079 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.080 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.080 * [taylor]: Taking taylor expansion of 1/2 in U 1.080 * [backup-simplify]: Simplify 1/2 into 1/2 1.080 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.080 * [taylor]: Taking taylor expansion of U in U 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.080 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.080 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.080 * [taylor]: Taking taylor expansion of 1/2 in U 1.080 * [backup-simplify]: Simplify 1/2 into 1/2 1.080 * [taylor]: Taking taylor expansion of K in U 1.080 * [backup-simplify]: Simplify K into K 1.080 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.080 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.080 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.080 * [taylor]: Taking taylor expansion of J in U 1.080 * [backup-simplify]: Simplify J into J 1.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.080 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.081 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.081 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.081 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 1.081 * [taylor]: Taking taylor expansion of 1/2 in J 1.081 * [backup-simplify]: Simplify 1/2 into 1/2 1.081 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.081 * [taylor]: Taking taylor expansion of 1/2 in J 1.081 * [backup-simplify]: Simplify 1/2 into 1/2 1.081 * [taylor]: Taking taylor expansion of K in J 1.081 * [backup-simplify]: Simplify K into K 1.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.081 * [taylor]: Taking taylor expansion of J in J 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.081 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.081 * [backup-simplify]: Simplify (- 0) into 0 1.081 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0) into 0 1.082 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.084 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.084 * [backup-simplify]: Simplify (- 0) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.085 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 1.085 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 1.085 * [taylor]: Taking taylor expansion of 1/2 in K 1.085 * [backup-simplify]: Simplify 1/2 into 1/2 1.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.085 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.085 * [taylor]: Taking taylor expansion of 1/2 in K 1.085 * [backup-simplify]: Simplify 1/2 into 1/2 1.085 * [taylor]: Taking taylor expansion of K in K 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.087 * [backup-simplify]: Simplify 1/2 into 1/2 1.087 * [backup-simplify]: Simplify (+ 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.090 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.091 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.091 * [taylor]: Taking taylor expansion of 0 in J 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.095 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.097 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.097 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.097 * [taylor]: Taking taylor expansion of 0 in K 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (+ 0) into 0 1.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.102 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.104 * [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 1.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 1.105 * [taylor]: Taking taylor expansion of 0 in J 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [taylor]: Taking taylor expansion of 0 in K 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.110 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.112 * [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 1.112 * [taylor]: Taking taylor expansion of 0 in K 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 1.115 * [backup-simplify]: Simplify 1/16 into 1/16 1.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.119 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.119 * [backup-simplify]: Simplify (- 0) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.120 * [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 1.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 1.121 * [taylor]: Taking taylor expansion of 0 in J 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in K 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [taylor]: Taking taylor expansion of 0 in K 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.123 * [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 1.123 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.125 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.126 * [backup-simplify]: Simplify (- 0) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.127 * [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 1.127 * [taylor]: Taking taylor expansion of 0 in K 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [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))) 1.127 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.127 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 1.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.127 * [taylor]: Taking taylor expansion of 1/2 in K 1.127 * [backup-simplify]: Simplify 1/2 into 1/2 1.127 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.127 * [taylor]: Taking taylor expansion of J in K 1.127 * [backup-simplify]: Simplify J into J 1.127 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.127 * [taylor]: Taking taylor expansion of U in K 1.127 * [backup-simplify]: Simplify U into U 1.127 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.127 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.127 * [taylor]: Taking taylor expansion of 1/2 in K 1.127 * [backup-simplify]: Simplify 1/2 into 1/2 1.127 * [taylor]: Taking taylor expansion of K in K 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.128 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.128 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.128 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.128 * [taylor]: Taking taylor expansion of 1/2 in J 1.128 * [backup-simplify]: Simplify 1/2 into 1/2 1.128 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.128 * [taylor]: Taking taylor expansion of J in J 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.128 * [taylor]: Taking taylor expansion of U in J 1.128 * [backup-simplify]: Simplify U into U 1.128 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.128 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.128 * [taylor]: Taking taylor expansion of 1/2 in J 1.128 * [backup-simplify]: Simplify 1/2 into 1/2 1.128 * [taylor]: Taking taylor expansion of K in J 1.128 * [backup-simplify]: Simplify K into K 1.128 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.128 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.128 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.128 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.128 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.129 * [backup-simplify]: Simplify (- 0) into 0 1.129 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.129 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.129 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.129 * [taylor]: Taking taylor expansion of 1/2 in U 1.129 * [backup-simplify]: Simplify 1/2 into 1/2 1.129 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.129 * [taylor]: Taking taylor expansion of J in U 1.129 * [backup-simplify]: Simplify J into J 1.129 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.129 * [taylor]: Taking taylor expansion of U in U 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.129 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.129 * [taylor]: Taking taylor expansion of 1/2 in U 1.129 * [backup-simplify]: Simplify 1/2 into 1/2 1.129 * [taylor]: Taking taylor expansion of K in U 1.129 * [backup-simplify]: Simplify K into K 1.129 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.129 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.129 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.129 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.129 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.129 * [backup-simplify]: Simplify (- 0) into 0 1.130 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.130 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.130 * [backup-simplify]: Simplify (+ 0) into 0 1.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.130 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.131 * [backup-simplify]: Simplify (- 0) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.132 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.132 * [taylor]: Taking taylor expansion of 1/2 in U 1.132 * [backup-simplify]: Simplify 1/2 into 1/2 1.132 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.132 * [taylor]: Taking taylor expansion of J in U 1.132 * [backup-simplify]: Simplify J into J 1.132 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.132 * [taylor]: Taking taylor expansion of U in U 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.132 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.132 * [taylor]: Taking taylor expansion of 1/2 in U 1.132 * [backup-simplify]: Simplify 1/2 into 1/2 1.132 * [taylor]: Taking taylor expansion of K in U 1.132 * [backup-simplify]: Simplify K into K 1.132 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.132 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.132 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.132 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.132 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.133 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.133 * [backup-simplify]: Simplify (+ 0) into 0 1.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.135 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.135 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.135 * [taylor]: Taking taylor expansion of 1/2 in J 1.135 * [backup-simplify]: Simplify 1/2 into 1/2 1.135 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.135 * [taylor]: Taking taylor expansion of J in J 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.135 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.135 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.135 * [taylor]: Taking taylor expansion of 1/2 in J 1.135 * [backup-simplify]: Simplify 1/2 into 1/2 1.135 * [taylor]: Taking taylor expansion of K in J 1.135 * [backup-simplify]: Simplify K into K 1.135 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.135 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.135 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.135 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.135 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.136 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.136 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.136 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.136 * [taylor]: Taking taylor expansion of 1/2 in K 1.136 * [backup-simplify]: Simplify 1/2 into 1/2 1.136 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.136 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.136 * [taylor]: Taking taylor expansion of 1/2 in K 1.136 * [backup-simplify]: Simplify 1/2 into 1/2 1.136 * [taylor]: Taking taylor expansion of K in K 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.136 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.136 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.136 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.138 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.139 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.140 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.140 * [taylor]: Taking taylor expansion of 0 in J 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [taylor]: Taking taylor expansion of 0 in K 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (+ 0) into 0 1.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.142 * [backup-simplify]: Simplify (- 0) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.143 * [taylor]: Taking taylor expansion of 0 in K 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.145 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.147 * [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 1.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.147 * [taylor]: Taking taylor expansion of 0 in J 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [taylor]: Taking taylor expansion of 0 in K 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [taylor]: Taking taylor expansion of 0 in K 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.149 * [backup-simplify]: Simplify (- 0) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [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 1.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 1.150 * [taylor]: Taking taylor expansion of 0 in K 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.151 * [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))) 1.151 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.151 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.151 * [taylor]: Taking taylor expansion of 1/2 in K 1.151 * [backup-simplify]: Simplify 1/2 into 1/2 1.151 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.151 * [taylor]: Taking taylor expansion of J in K 1.151 * [backup-simplify]: Simplify J into J 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.151 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.151 * [taylor]: Taking taylor expansion of -1/2 in K 1.151 * [backup-simplify]: Simplify -1/2 into -1/2 1.151 * [taylor]: Taking taylor expansion of K in K 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.153 * [taylor]: Taking taylor expansion of U in K 1.153 * [backup-simplify]: Simplify U into U 1.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.153 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.153 * [taylor]: Taking taylor expansion of 1/2 in J 1.153 * [backup-simplify]: Simplify 1/2 into 1/2 1.153 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.153 * [taylor]: Taking taylor expansion of J in J 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.153 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.153 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.153 * [taylor]: Taking taylor expansion of -1/2 in J 1.153 * [backup-simplify]: Simplify -1/2 into -1/2 1.153 * [taylor]: Taking taylor expansion of K in J 1.153 * [backup-simplify]: Simplify K into K 1.153 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.153 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.153 * [taylor]: Taking taylor expansion of U in J 1.153 * [backup-simplify]: Simplify U into U 1.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.153 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.154 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.154 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.154 * [taylor]: Taking taylor expansion of 1/2 in U 1.154 * [backup-simplify]: Simplify 1/2 into 1/2 1.154 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.154 * [taylor]: Taking taylor expansion of J in U 1.154 * [backup-simplify]: Simplify J into J 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.154 * [taylor]: Taking taylor expansion of -1/2 in U 1.154 * [backup-simplify]: Simplify -1/2 into -1/2 1.154 * [taylor]: Taking taylor expansion of K in U 1.155 * [backup-simplify]: Simplify K into K 1.155 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.155 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.155 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.155 * [taylor]: Taking taylor expansion of U in U 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.155 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.155 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0) into 0 1.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.157 * [backup-simplify]: Simplify (- 0) into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.158 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.158 * [taylor]: Taking taylor expansion of 1/2 in U 1.158 * [backup-simplify]: Simplify 1/2 into 1/2 1.158 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.158 * [taylor]: Taking taylor expansion of J in U 1.158 * [backup-simplify]: Simplify J into J 1.158 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.158 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.158 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.158 * [taylor]: Taking taylor expansion of -1/2 in U 1.158 * [backup-simplify]: Simplify -1/2 into -1/2 1.158 * [taylor]: Taking taylor expansion of K in U 1.158 * [backup-simplify]: Simplify K into K 1.158 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.158 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.158 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.158 * [taylor]: Taking taylor expansion of U in U 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.158 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.158 * [backup-simplify]: Simplify (- 0) into 0 1.158 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.159 * [backup-simplify]: Simplify (+ 0) into 0 1.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.161 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.161 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.161 * [taylor]: Taking taylor expansion of 1/2 in J 1.161 * [backup-simplify]: Simplify 1/2 into 1/2 1.161 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.161 * [taylor]: Taking taylor expansion of J in J 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify 1 into 1 1.161 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.161 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.161 * [taylor]: Taking taylor expansion of -1/2 in J 1.161 * [backup-simplify]: Simplify -1/2 into -1/2 1.161 * [taylor]: Taking taylor expansion of K in J 1.161 * [backup-simplify]: Simplify K into K 1.161 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.161 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.161 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.161 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.161 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.161 * [backup-simplify]: Simplify (- 0) into 0 1.161 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.162 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.162 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.162 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 1.162 * [taylor]: Taking taylor expansion of 1/2 in K 1.162 * [backup-simplify]: Simplify 1/2 into 1/2 1.162 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.162 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.162 * [taylor]: Taking taylor expansion of -1/2 in K 1.162 * [backup-simplify]: Simplify -1/2 into -1/2 1.162 * [taylor]: Taking taylor expansion of K in K 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.162 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.162 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.162 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.165 * [taylor]: Taking taylor expansion of 0 in J 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [taylor]: Taking taylor expansion of 0 in K 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (+ 0) into 0 1.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.168 * [taylor]: Taking taylor expansion of 0 in K 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.171 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.173 * [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 1.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.174 * [taylor]: Taking taylor expansion of 0 in J 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in K 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [taylor]: Taking taylor expansion of 0 in K 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.177 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.177 * [backup-simplify]: Simplify (- 0) into 0 1.177 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [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 1.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 1.179 * [taylor]: Taking taylor expansion of 0 in K 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [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))) 1.179 * * * [progress]: simplifying candidates 1.179 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 1.179 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 1.179 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 1.180 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.180 * * [simplify]: iters left: 6 (15 enodes) 1.188 * * [simplify]: iters left: 5 (60 enodes) 1.207 * * [simplify]: iters left: 4 (102 enodes) 1.238 * * [simplify]: iters left: 3 (148 enodes) 1.283 * * [simplify]: iters left: 2 (169 enodes) 1.306 * * [simplify]: Extracting #0: cost 1 inf + 0 1.306 * * [simplify]: Extracting #1: cost 16 inf + 0 1.306 * * [simplify]: Extracting #2: cost 29 inf + 2 1.306 * * [simplify]: Extracting #3: cost 37 inf + 87 1.307 * * [simplify]: Extracting #4: cost 41 inf + 174 1.307 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.308 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.310 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.313 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.313 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.313 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 1.313 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.313 * * [simplify]: iters left: 6 (15 enodes) 1.317 * * [simplify]: iters left: 5 (60 enodes) 1.331 * * [simplify]: iters left: 4 (102 enodes) 1.349 * * [simplify]: iters left: 3 (148 enodes) 1.379 * * [simplify]: iters left: 2 (169 enodes) 1.400 * * [simplify]: Extracting #0: cost 1 inf + 0 1.400 * * [simplify]: Extracting #1: cost 16 inf + 0 1.400 * * [simplify]: Extracting #2: cost 29 inf + 2 1.400 * * [simplify]: Extracting #3: cost 37 inf + 87 1.400 * * [simplify]: Extracting #4: cost 41 inf + 174 1.401 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.402 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.404 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.406 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.406 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.406 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 1.407 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))) 1.407 * * [simplify]: iters left: 6 (15 enodes) 1.411 * * [simplify]: iters left: 5 (60 enodes) 1.421 * * [simplify]: iters left: 4 (102 enodes) 1.436 * * [simplify]: iters left: 3 (148 enodes) 1.462 * * [simplify]: iters left: 2 (169 enodes) 1.481 * * [simplify]: Extracting #0: cost 1 inf + 0 1.482 * * [simplify]: Extracting #1: cost 16 inf + 0 1.482 * * [simplify]: Extracting #2: cost 29 inf + 2 1.482 * * [simplify]: Extracting #3: cost 37 inf + 87 1.482 * * [simplify]: Extracting #4: cost 41 inf + 174 1.482 * * [simplify]: Extracting #5: cost 30 inf + 1953 1.484 * * [simplify]: Extracting #6: cost 8 inf + 6795 1.486 * * [simplify]: Extracting #7: cost 0 inf + 9302 1.488 * [simplify]: Simplified to (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1.488 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (cos (/ K 2)) (* (* -2 J) (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) 1)) 1.488 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 1.488 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 1.488 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) 1.488 * * [simplify]: iters left: 6 (19 enodes) 1.496 * * [simplify]: iters left: 5 (72 enodes) 1.519 * * [simplify]: iters left: 4 (116 enodes) 1.552 * * [simplify]: iters left: 3 (168 enodes) 1.576 * * [simplify]: iters left: 2 (189 enodes) 1.596 * * [simplify]: Extracting #0: cost 1 inf + 0 1.596 * * [simplify]: Extracting #1: cost 16 inf + 0 1.597 * * [simplify]: Extracting #2: cost 34 inf + 0 1.597 * * [simplify]: Extracting #3: cost 35 inf + 144 1.597 * * [simplify]: Extracting #4: cost 42 inf + 469 1.597 * * [simplify]: Extracting #5: cost 41 inf + 1491 1.598 * * [simplify]: Extracting #6: cost 20 inf + 7688 1.601 * * [simplify]: Extracting #7: cost 2 inf + 13584 1.603 * * [simplify]: Extracting #8: cost 0 inf + 14836 1.606 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log -2) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log J)))) 1.606 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log -2) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log J)))))) 1.606 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 1.607 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) 1.607 * * [simplify]: iters left: 6 (18 enodes) 1.612 * * [simplify]: iters left: 5 (70 enodes) 1.630 * * [simplify]: iters left: 4 (109 enodes) 1.660 * * [simplify]: iters left: 3 (158 enodes) 1.683 * * [simplify]: iters left: 2 (193 enodes) 1.726 * * [simplify]: iters left: 1 (197 enodes) 1.775 * * [simplify]: Extracting #0: cost 1 inf + 0 1.775 * * [simplify]: Extracting #1: cost 16 inf + 0 1.775 * * [simplify]: Extracting #2: cost 35 inf + 0 1.776 * * [simplify]: Extracting #3: cost 37 inf + 144 1.776 * * [simplify]: Extracting #4: cost 42 inf + 483 1.777 * * [simplify]: Extracting #5: cost 41 inf + 1435 1.779 * * [simplify]: Extracting #6: cost 18 inf + 8686 1.785 * * [simplify]: Extracting #7: cost 1 inf + 14077 1.788 * * [simplify]: Extracting #8: cost 0 inf + 14360 1.791 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))) 1.791 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))))) 1.791 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 1.791 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (* (cos (/ K 2)) (* -2 J)))) 1.792 * * [simplify]: iters left: 6 (17 enodes) 1.796 * * [simplify]: iters left: 5 (67 enodes) 1.808 * * [simplify]: iters left: 4 (108 enodes) 1.831 * * [simplify]: iters left: 3 (157 enodes) 1.866 * * [simplify]: iters left: 2 (203 enodes) 1.909 * * [simplify]: iters left: 1 (216 enodes) 1.954 * * [simplify]: Extracting #0: cost 1 inf + 0 1.954 * * [simplify]: Extracting #1: cost 16 inf + 0 1.955 * * [simplify]: Extracting #2: cost 38 inf + 0 1.955 * * [simplify]: Extracting #3: cost 43 inf + 115 1.955 * * [simplify]: Extracting #4: cost 47 inf + 595 1.956 * * [simplify]: Extracting #5: cost 38 inf + 3082 1.959 * * [simplify]: Extracting #6: cost 11 inf + 10399 1.966 * * [simplify]: Extracting #7: cost 0 inf + 14094 1.971 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J))))) (log (* (* J -2) (cos (/ K 2))))) 1.971 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J))))) (log (* (* J -2) (cos (/ K 2))))))) 1.971 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 1.971 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 1.972 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) 1.972 * * [simplify]: iters left: 6 (23 enodes) 1.984 * * [simplify]: iters left: 5 (97 enodes) 2.016 * * [simplify]: iters left: 4 (236 enodes) 2.104 * * [simplify]: Extracting #0: cost 1 inf + 0 2.104 * * [simplify]: Extracting #1: cost 58 inf + 0 2.104 * * [simplify]: Extracting #2: cost 248 inf + 87 2.105 * * [simplify]: Extracting #3: cost 265 inf + 1241 2.108 * * [simplify]: Extracting #4: cost 217 inf + 10239 2.119 * * [simplify]: Extracting #5: cost 95 inf + 48734 2.147 * * [simplify]: Extracting #6: cost 7 inf + 90261 2.176 * * [simplify]: Extracting #7: cost 0 inf + 94024 2.217 * [simplify]: Simplified to (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) -8)) (* J (* J J))) 2.218 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) -8)) (* J (* J J))))) 2.218 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 2.218 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) 2.218 * * [simplify]: iters left: 6 (21 enodes) 2.231 * * [simplify]: iters left: 5 (95 enodes) 2.266 * * [simplify]: iters left: 4 (234 enodes) 2.402 * * [simplify]: Extracting #0: cost 1 inf + 0 2.402 * * [simplify]: Extracting #1: cost 56 inf + 0 2.404 * * [simplify]: Extracting #2: cost 215 inf + 291 2.406 * * [simplify]: Extracting #3: cost 229 inf + 1857 2.409 * * [simplify]: Extracting #4: cost 225 inf + 2479 2.417 * * [simplify]: Extracting #5: cost 163 inf + 19978 2.443 * * [simplify]: Extracting #6: cost 24 inf + 75307 2.469 * * [simplify]: Extracting #7: cost 0 inf + 85249 2.496 * * [simplify]: Extracting #8: cost 0 inf + 85049 2.525 * [simplify]: Simplified to (* (* (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))))) 2.525 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (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))))))) 2.525 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 2.526 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) 2.526 * * [simplify]: iters left: 6 (19 enodes) 2.537 * * [simplify]: iters left: 5 (85 enodes) 2.557 * * [simplify]: iters left: 4 (233 enodes) 2.689 * * [simplify]: Extracting #0: cost 1 inf + 0 2.689 * * [simplify]: Extracting #1: cost 51 inf + 0 2.690 * * [simplify]: Extracting #2: cost 249 inf + 167 2.692 * * [simplify]: Extracting #3: cost 263 inf + 1322 2.698 * * [simplify]: Extracting #4: cost 215 inf + 16178 2.721 * * [simplify]: Extracting #5: cost 46 inf + 78072 2.751 * * [simplify]: Extracting #6: cost 0 inf + 97925 2.800 * * [simplify]: Extracting #7: cost 0 inf + 97365 2.824 * * [simplify]: Extracting #8: cost 0 inf + 97285 2.864 * [simplify]: Simplified to (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J))) 2.864 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J) (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* -2 (cos (/ K 2)))) J))))) 2.864 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 2.864 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 2.864 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 2.864 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 2.864 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 2.864 * [simplify]: Simplifying (* -2 J) 2.864 * * [simplify]: iters left: 2 (3 enodes) 2.866 * * [simplify]: iters left: 1 (10 enodes) 2.868 * * [simplify]: Extracting #0: cost 1 inf + 0 2.868 * * [simplify]: Extracting #1: cost 4 inf + 0 2.868 * * [simplify]: Extracting #2: cost 2 inf + 2 2.868 * * [simplify]: Extracting #3: cost 0 inf + 86 2.868 * [simplify]: Simplified to (* -2 J) 2.868 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 2.868 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 2.868 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 2.868 * * [simplify]: iters left: 6 (13 enodes) 2.872 * * [simplify]: iters left: 5 (47 enodes) 2.880 * * [simplify]: iters left: 4 (67 enodes) 2.895 * * [simplify]: iters left: 3 (84 enodes) 2.910 * * [simplify]: iters left: 2 (89 enodes) 2.921 * * [simplify]: Extracting #0: cost 1 inf + 0 2.921 * * [simplify]: Extracting #1: cost 3 inf + 0 2.921 * * [simplify]: Extracting #2: cost 5 inf + 0 2.921 * * [simplify]: Extracting #3: cost 8 inf + 0 2.921 * * [simplify]: Extracting #4: cost 18 inf + 1 2.921 * * [simplify]: Extracting #5: cost 27 inf + 4 2.921 * * [simplify]: Extracting #6: cost 27 inf + 338 2.922 * * [simplify]: Extracting #7: cost 23 inf + 465 2.922 * * [simplify]: Extracting #8: cost 12 inf + 2056 2.923 * * [simplify]: Extracting #9: cost 1 inf + 4835 2.924 * * [simplify]: Extracting #10: cost 0 inf + 5195 2.925 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 2.925 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 2.925 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 2.925 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 2.925 * * [simplify]: iters left: 6 (12 enodes) 2.929 * * [simplify]: iters left: 5 (44 enodes) 2.942 * * [simplify]: iters left: 4 (64 enodes) 2.961 * * [simplify]: iters left: 3 (81 enodes) 2.977 * * [simplify]: iters left: 2 (86 enodes) 2.988 * * [simplify]: Extracting #0: cost 1 inf + 0 2.988 * * [simplify]: Extracting #1: cost 3 inf + 0 2.988 * * [simplify]: Extracting #2: cost 6 inf + 0 2.988 * * [simplify]: Extracting #3: cost 16 inf + 1 2.988 * * [simplify]: Extracting #4: cost 25 inf + 4 2.988 * * [simplify]: Extracting #5: cost 26 inf + 255 2.988 * * [simplify]: Extracting #6: cost 21 inf + 465 2.989 * * [simplify]: Extracting #7: cost 7 inf + 2565 2.989 * * [simplify]: Extracting #8: cost 1 inf + 4035 2.990 * * [simplify]: Extracting #9: cost 0 inf + 4315 2.991 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 2.991 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 2.991 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 2.991 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J))))))> 2.991 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 2.991 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 2.991 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 2.991 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 2.992 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 2.992 * * [simplify]: iters left: 6 (7 enodes) 2.994 * * [simplify]: iters left: 5 (25 enodes) 3.000 * * [simplify]: iters left: 4 (33 enodes) 3.010 * * [simplify]: iters left: 3 (39 enodes) 3.020 * * [simplify]: Extracting #0: cost 1 inf + 0 3.020 * * [simplify]: Extracting #1: cost 8 inf + 0 3.020 * * [simplify]: Extracting #2: cost 11 inf + 2 3.020 * * [simplify]: Extracting #3: cost 12 inf + 44 3.020 * * [simplify]: Extracting #4: cost 8 inf + 171 3.020 * * [simplify]: Extracting #5: cost 3 inf + 843 3.021 * * [simplify]: Extracting #6: cost 0 inf + 1311 3.022 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 3.022 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (cos (/ K 2)) (* -2 J)))) 3.022 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 3.022 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 3.022 * * [simplify]: iters left: 6 (7 enodes) 3.026 * * [simplify]: iters left: 5 (25 enodes) 3.034 * * [simplify]: iters left: 4 (33 enodes) 3.044 * * [simplify]: iters left: 3 (39 enodes) 3.054 * * [simplify]: Extracting #0: cost 1 inf + 0 3.054 * * [simplify]: Extracting #1: cost 8 inf + 0 3.054 * * [simplify]: Extracting #2: cost 11 inf + 2 3.054 * * [simplify]: Extracting #3: cost 12 inf + 44 3.054 * * [simplify]: Extracting #4: cost 8 inf + 171 3.054 * * [simplify]: Extracting #5: cost 3 inf + 843 3.055 * * [simplify]: Extracting #6: cost 0 inf + 1311 3.055 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 3.055 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (* (cos (/ K 2)) (* -2 J)))) 3.056 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 3.056 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 3.056 * [simplify]: Simplifying (+ (log J) (+ (log (cos (/ K 2))) (log 2))) 3.056 * * [simplify]: iters left: 6 (10 enodes) 3.061 * * [simplify]: iters left: 5 (34 enodes) 3.073 * * [simplify]: iters left: 4 (42 enodes) 3.085 * * [simplify]: iters left: 3 (47 enodes) 3.097 * * [simplify]: Extracting #0: cost 1 inf + 0 3.097 * * [simplify]: Extracting #1: cost 8 inf + 0 3.097 * * [simplify]: Extracting #2: cost 17 inf + 0 3.098 * * [simplify]: Extracting #3: cost 15 inf + 144 3.098 * * [simplify]: Extracting #4: cost 16 inf + 215 3.098 * * [simplify]: Extracting #5: cost 9 inf + 837 3.099 * * [simplify]: Extracting #6: cost 1 inf + 2916 3.100 * * [simplify]: Extracting #7: cost 0 inf + 3199 3.100 * [simplify]: Simplified to (+ (log 2) (+ (log J) (log (cos (/ K 2))))) 3.100 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log 2) (+ (log J) (log (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J)))) 3.101 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 3.101 * [simplify]: Simplifying (+ (log J) (log (* (cos (/ K 2)) 2))) 3.101 * * [simplify]: iters left: 6 (9 enodes) 3.106 * * [simplify]: iters left: 5 (32 enodes) 3.115 * * [simplify]: iters left: 4 (41 enodes) 3.128 * * [simplify]: iters left: 3 (50 enodes) 3.136 * * [simplify]: Extracting #0: cost 1 inf + 0 3.136 * * [simplify]: Extracting #1: cost 8 inf + 0 3.136 * * [simplify]: Extracting #2: cost 18 inf + 0 3.136 * * [simplify]: Extracting #3: cost 19 inf + 2 3.136 * * [simplify]: Extracting #4: cost 16 inf + 579 3.136 * * [simplify]: Extracting #5: cost 11 inf + 837 3.137 * * [simplify]: Extracting #6: cost 4 inf + 1991 3.138 * * [simplify]: Extracting #7: cost 0 inf + 3203 3.139 * [simplify]: Simplified to (+ (log (* 2 (cos (/ K 2)))) (log J)) 3.139 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (exp (+ (log (* 2 (cos (/ K 2)))) (log J))))) (* (cos (/ K 2)) (* -2 J)))) 3.139 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 3.139 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 3.139 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 3.139 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 3.140 * * [simplify]: iters left: 6 (13 enodes) 3.145 * * [simplify]: iters left: 5 (53 enodes) 3.168 * * [simplify]: iters left: 4 (132 enodes) 3.203 * * [simplify]: iters left: 3 (429 enodes) 3.855 * * [simplify]: Extracting #0: cost 1 inf + 0 3.856 * * [simplify]: Extracting #1: cost 91 inf + 0 3.857 * * [simplify]: Extracting #2: cost 246 inf + 87 3.860 * * [simplify]: Extracting #3: cost 220 inf + 2827 3.869 * * [simplify]: Extracting #4: cost 139 inf + 22133 3.893 * * [simplify]: Extracting #5: cost 13 inf + 55236 3.920 * * [simplify]: Extracting #6: cost 0 inf + 57862 3.946 * * [simplify]: Extracting #7: cost 0 inf + 57822 3.977 * [simplify]: Simplified to (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))) 3.977 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 3.977 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 3.977 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 3.977 * * [simplify]: iters left: 6 (11 enodes) 3.984 * * [simplify]: iters left: 5 (51 enodes) 4.004 * * [simplify]: iters left: 4 (123 enodes) 4.059 * * [simplify]: iters left: 3 (378 enodes) 4.361 * * [simplify]: Extracting #0: cost 1 inf + 0 4.361 * * [simplify]: Extracting #1: cost 70 inf + 0 4.362 * * [simplify]: Extracting #2: cost 183 inf + 248 4.364 * * [simplify]: Extracting #3: cost 165 inf + 2757 4.368 * * [simplify]: Extracting #4: cost 101 inf + 18508 4.384 * * [simplify]: Extracting #5: cost 7 inf + 44227 4.409 * * [simplify]: Extracting #6: cost 0 inf + 45950 4.433 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) 4.433 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (cbrt (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J))))) (* (cos (/ K 2)) (* -2 J)))) 4.433 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 4.434 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 4.434 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 4.434 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 4.434 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 4.434 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 4.434 * [simplify]: Simplifying (* (cbrt J) (cbrt J)) 4.434 * * [simplify]: iters left: 3 (3 enodes) 4.435 * * [simplify]: iters left: 2 (9 enodes) 4.436 * * [simplify]: Extracting #0: cost 1 inf + 0 4.436 * * [simplify]: Extracting #1: cost 3 inf + 0 4.436 * * [simplify]: Extracting #2: cost 5 inf + 0 4.436 * * [simplify]: Extracting #3: cost 4 inf + 1 4.436 * * [simplify]: Extracting #4: cost 0 inf + 405 4.436 * [simplify]: Simplified to (* (cbrt J) (cbrt J)) 4.436 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 4.437 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 4.437 * [simplify]: Simplifying (sqrt J) 4.437 * * [simplify]: iters left: 1 (2 enodes) 4.437 * * [simplify]: Extracting #0: cost 1 inf + 0 4.437 * * [simplify]: Extracting #1: cost 3 inf + 0 4.437 * * [simplify]: Extracting #2: cost 2 inf + 1 4.437 * * [simplify]: Extracting #3: cost 0 inf + 83 4.437 * [simplify]: Simplified to (sqrt J) 4.437 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* (sqrt J) (* (sqrt J) (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 4.437 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 4.438 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> 4.438 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 4.438 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 4.438 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 4.438 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 4.438 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 4.438 * * [simplify]: iters left: 5 (8 enodes) 4.441 * * [simplify]: iters left: 4 (28 enodes) 4.446 * * [simplify]: iters left: 3 (36 enodes) 4.451 * * [simplify]: iters left: 2 (42 enodes) 4.457 * * [simplify]: Extracting #0: cost 1 inf + 0 4.457 * * [simplify]: Extracting #1: cost 8 inf + 0 4.457 * * [simplify]: Extracting #2: cost 10 inf + 44 4.457 * * [simplify]: Extracting #3: cost 12 inf + 86 4.458 * * [simplify]: Extracting #4: cost 10 inf + 88 4.458 * * [simplify]: Extracting #5: cost 5 inf + 601 4.458 * * [simplify]: Extracting #6: cost 1 inf + 1173 4.458 * * [simplify]: Extracting #7: cost 0 inf + 1316 4.458 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 4.459 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 1))) 4.459 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 4.459 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 4.459 * * [simplify]: iters left: 5 (8 enodes) 4.461 * * [simplify]: iters left: 4 (28 enodes) 4.466 * * [simplify]: iters left: 3 (36 enodes) 4.473 * * [simplify]: iters left: 2 (42 enodes) 4.484 * * [simplify]: Extracting #0: cost 1 inf + 0 4.484 * * [simplify]: Extracting #1: cost 8 inf + 0 4.484 * * [simplify]: Extracting #2: cost 10 inf + 44 4.484 * * [simplify]: Extracting #3: cost 12 inf + 86 4.484 * * [simplify]: Extracting #4: cost 10 inf + 88 4.485 * * [simplify]: Extracting #5: cost 5 inf + 601 4.485 * * [simplify]: Extracting #6: cost 1 inf + 1173 4.486 * * [simplify]: Extracting #7: cost 0 inf + 1316 4.486 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 4.486 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 1))) 4.486 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 4.486 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 4.487 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (+ (log -2) (log J))) 4.487 * * [simplify]: iters left: 6 (11 enodes) 4.493 * * [simplify]: iters left: 5 (37 enodes) 4.504 * * [simplify]: iters left: 4 (45 enodes) 4.511 * * [simplify]: iters left: 3 (51 enodes) 4.518 * * [simplify]: Extracting #0: cost 1 inf + 0 4.518 * * [simplify]: Extracting #1: cost 8 inf + 0 4.518 * * [simplify]: Extracting #2: cost 17 inf + 0 4.518 * * [simplify]: Extracting #3: cost 17 inf + 2 4.519 * * [simplify]: Extracting #4: cost 15 inf + 468 4.519 * * [simplify]: Extracting #5: cost 12 inf + 652 4.519 * * [simplify]: Extracting #6: cost 9 inf + 838 4.519 * * [simplify]: Extracting #7: cost 3 inf + 2466 4.520 * * [simplify]: Extracting #8: cost 0 inf + 3204 4.520 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log J) (log -2))) 4.520 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (cos (/ K 2))) (+ (log J) (log -2)))))) 4.520 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 4.520 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log (* -2 J))) 4.520 * * [simplify]: iters left: 6 (10 enodes) 4.523 * * [simplify]: iters left: 5 (35 enodes) 4.529 * * [simplify]: iters left: 4 (44 enodes) 4.542 * * [simplify]: iters left: 3 (52 enodes) 4.557 * * [simplify]: Extracting #0: cost 1 inf + 0 4.557 * * [simplify]: Extracting #1: cost 8 inf + 0 4.557 * * [simplify]: Extracting #2: cost 18 inf + 0 4.557 * * [simplify]: Extracting #3: cost 16 inf + 186 4.557 * * [simplify]: Extracting #4: cost 14 inf + 594 4.557 * * [simplify]: Extracting #5: cost 12 inf + 596 4.558 * * [simplify]: Extracting #6: cost 5 inf + 1663 4.559 * * [simplify]: Extracting #7: cost 0 inf + 3008 4.560 * [simplify]: Simplified to (+ (log (* -2 J)) (log (cos (/ K 2)))) 4.560 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (exp (+ (log (* -2 J)) (log (cos (/ K 2))))))) 4.560 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 4.560 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 4.560 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 4.560 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))) 4.561 * * [simplify]: iters left: 6 (14 enodes) 4.570 * * [simplify]: iters left: 5 (57 enodes) 4.591 * * [simplify]: iters left: 4 (130 enodes) 4.628 * * [simplify]: iters left: 3 (367 enodes) 4.834 * * [simplify]: Extracting #0: cost 1 inf + 0 4.834 * * [simplify]: Extracting #1: cost 64 inf + 0 4.835 * * [simplify]: Extracting #2: cost 177 inf + 46 4.836 * * [simplify]: Extracting #3: cost 156 inf + 1970 4.840 * * [simplify]: Extracting #4: cost 75 inf + 21401 4.849 * * [simplify]: Extracting #5: cost 1 inf + 43378 4.859 * * [simplify]: Extracting #6: cost 0 inf + 42761 4.869 * * [simplify]: Extracting #7: cost 0 inf + 42681 4.878 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J)) 4.878 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J))))) 4.878 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 4.879 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 4.879 * * [simplify]: iters left: 6 (12 enodes) 4.882 * * [simplify]: iters left: 5 (54 enodes) 4.893 * * [simplify]: iters left: 4 (126 enodes) 4.958 * * [simplify]: iters left: 3 (382 enodes) 5.300 * * [simplify]: Extracting #0: cost 1 inf + 0 5.301 * * [simplify]: Extracting #1: cost 72 inf + 0 5.302 * * [simplify]: Extracting #2: cost 196 inf + 169 5.305 * * [simplify]: Extracting #3: cost 187 inf + 1572 5.315 * * [simplify]: Extracting #4: cost 102 inf + 22796 5.340 * * [simplify]: Extracting #5: cost 1 inf + 50706 5.366 * * [simplify]: Extracting #6: cost 0 inf + 50169 5.392 * * [simplify]: Extracting #7: cost 0 inf + 50089 5.419 * [simplify]: Simplified to (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J))) 5.419 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cbrt (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J)))))) 5.419 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 5.419 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 5.419 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 5.419 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 5.419 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 5.419 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 5.420 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 5.420 * * [simplify]: iters left: 6 (6 enodes) 5.421 * * [simplify]: iters left: 5 (18 enodes) 5.424 * * [simplify]: Extracting #0: cost 1 inf + 0 5.424 * * [simplify]: Extracting #1: cost 3 inf + 0 5.424 * * [simplify]: Extracting #2: cost 5 inf + 0 5.424 * * [simplify]: Extracting #3: cost 7 inf + 0 5.424 * * [simplify]: Extracting #4: cost 10 inf + 0 5.424 * * [simplify]: Extracting #5: cost 8 inf + 2 5.424 * * [simplify]: Extracting #6: cost 0 inf + 1098 5.425 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 5.425 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))) 5.425 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 5.425 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 5.425 * * [simplify]: iters left: 4 (5 enodes) 5.426 * * [simplify]: iters left: 3 (15 enodes) 5.428 * * [simplify]: Extracting #0: cost 1 inf + 0 5.428 * * [simplify]: Extracting #1: cost 3 inf + 0 5.429 * * [simplify]: Extracting #2: cost 5 inf + 0 5.429 * * [simplify]: Extracting #3: cost 8 inf + 0 5.429 * * [simplify]: Extracting #4: cost 6 inf + 2 5.429 * * [simplify]: Extracting #5: cost 0 inf + 574 5.429 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 5.429 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) 5.429 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 5.429 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 5.429 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 5.429 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 5.429 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 5.429 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 5.429 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 5.429 * [simplify]: Simplifying (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 5.429 * * [simplify]: iters left: 6 (13 enodes) 5.433 * * [simplify]: iters left: 5 (47 enodes) 5.440 * * [simplify]: iters left: 4 (77 enodes) 5.456 * * [simplify]: iters left: 3 (142 enodes) 5.504 * * [simplify]: iters left: 2 (244 enodes) 5.576 * * [simplify]: iters left: 1 (389 enodes) 5.719 * * [simplify]: Extracting #0: cost 1 inf + 0 5.719 * * [simplify]: Extracting #1: cost 43 inf + 0 5.720 * * [simplify]: Extracting #2: cost 85 inf + 0 5.720 * * [simplify]: Extracting #3: cost 78 inf + 509 5.721 * * [simplify]: Extracting #4: cost 62 inf + 3772 5.722 * * [simplify]: Extracting #5: cost 40 inf + 8371 5.725 * * [simplify]: Extracting #6: cost 9 inf + 19264 5.729 * * [simplify]: Extracting #7: cost 0 inf + 22854 5.734 * [simplify]: Simplified to (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 5.734 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))))) (* (cos (/ K 2)) (* -2 J)))) 5.734 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 5.734 * [simplify]: Simplifying (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 5.735 * * [simplify]: iters left: 6 (12 enodes) 5.741 * * [simplify]: iters left: 5 (45 enodes) 5.759 * * [simplify]: iters left: 4 (69 enodes) 5.780 * * [simplify]: iters left: 3 (118 enodes) 5.800 * * [simplify]: iters left: 2 (207 enodes) 5.889 * * [simplify]: iters left: 1 (350 enodes) 6.007 * * [simplify]: Extracting #0: cost 1 inf + 0 6.007 * * [simplify]: Extracting #1: cost 41 inf + 0 6.007 * * [simplify]: Extracting #2: cost 80 inf + 0 6.008 * * [simplify]: Extracting #3: cost 70 inf + 1095 6.008 * * [simplify]: Extracting #4: cost 52 inf + 5095 6.010 * * [simplify]: Extracting #5: cost 38 inf + 7394 6.012 * * [simplify]: Extracting #6: cost 16 inf + 14208 6.016 * * [simplify]: Extracting #7: cost 0 inf + 19711 6.019 * [simplify]: Simplified to (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 6.020 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 6.020 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 6.020 * [simplify]: Simplifying (- (log U) (log (* J (* (cos (/ K 2)) 2)))) 6.020 * * [simplify]: iters left: 6 (11 enodes) 6.026 * * [simplify]: iters left: 5 (42 enodes) 6.039 * * [simplify]: iters left: 4 (69 enodes) 6.056 * * [simplify]: iters left: 3 (114 enodes) 6.073 * * [simplify]: iters left: 2 (185 enodes) 6.108 * * [simplify]: iters left: 1 (294 enodes) 6.178 * * [simplify]: Extracting #0: cost 1 inf + 0 6.178 * * [simplify]: Extracting #1: cost 54 inf + 0 6.179 * * [simplify]: Extracting #2: cost 108 inf + 0 6.179 * * [simplify]: Extracting #3: cost 107 inf + 327 6.181 * * [simplify]: Extracting #4: cost 86 inf + 3544 6.183 * * [simplify]: Extracting #5: cost 62 inf + 8359 6.189 * * [simplify]: Extracting #6: cost 21 inf + 20747 6.199 * * [simplify]: Extracting #7: cost 0 inf + 27400 6.209 * * [simplify]: Extracting #8: cost 0 inf + 27050 6.219 * [simplify]: Simplified to (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 6.219 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (exp (- (log U) (log (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 6.219 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 6.219 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 6.219 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 6.220 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) 6.220 * * [simplify]: iters left: 6 (17 enodes) 6.226 * * [simplify]: iters left: 5 (74 enodes) 6.241 * * [simplify]: iters left: 4 (218 enodes) 6.361 * * [simplify]: Extracting #0: cost 1 inf + 0 6.361 * * [simplify]: Extracting #1: cost 173 inf + 0 6.364 * * [simplify]: Extracting #2: cost 367 inf + 2039 6.370 * * [simplify]: Extracting #3: cost 314 inf + 9518 6.387 * * [simplify]: Extracting #4: cost 137 inf + 52354 6.427 * * [simplify]: Extracting #5: cost 2 inf + 91480 6.455 * * [simplify]: Extracting #6: cost 0 inf + 91928 6.493 * [simplify]: Simplified to (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 6.493 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 6.493 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 6.493 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) 6.493 * * [simplify]: iters left: 6 (15 enodes) 6.498 * * [simplify]: iters left: 5 (71 enodes) 6.513 * * [simplify]: iters left: 4 (218 enodes) 6.660 * * [simplify]: Extracting #0: cost 1 inf + 0 6.661 * * [simplify]: Extracting #1: cost 159 inf + 0 6.664 * * [simplify]: Extracting #2: cost 369 inf + 1023 6.669 * * [simplify]: Extracting #3: cost 331 inf + 6901 6.679 * * [simplify]: Extracting #4: cost 161 inf + 51690 6.701 * * [simplify]: Extracting #5: cost 6 inf + 97480 6.726 * * [simplify]: Extracting #6: cost 0 inf + 98543 6.760 * [simplify]: Simplified to (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))) 6.760 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 6.760 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 6.760 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) 6.760 * * [simplify]: iters left: 6 (13 enodes) 6.764 * * [simplify]: iters left: 5 (61 enodes) 6.778 * * [simplify]: iters left: 4 (231 enodes) 6.977 * * [simplify]: Extracting #0: cost 1 inf + 0 6.977 * * [simplify]: Extracting #1: cost 188 inf + 0 6.979 * * [simplify]: Extracting #2: cost 413 inf + 741 6.981 * * [simplify]: Extracting #3: cost 387 inf + 5457 6.997 * * [simplify]: Extracting #4: cost 186 inf + 57444 7.054 * * [simplify]: Extracting #5: cost 3 inf + 111030 7.099 * * [simplify]: Extracting #6: cost 0 inf + 111016 7.127 * [simplify]: Simplified to (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 7.128 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (cbrt (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))) 7.128 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 7.128 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 7.128 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 7.128 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 7.128 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 7.129 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) J) 7.129 * * [simplify]: iters left: 5 (5 enodes) 7.131 * * [simplify]: iters left: 4 (17 enodes) 7.136 * * [simplify]: iters left: 3 (21 enodes) 7.143 * * [simplify]: iters left: 2 (24 enodes) 7.150 * * [simplify]: Extracting #0: cost 1 inf + 0 7.150 * * [simplify]: Extracting #1: cost 7 inf + 0 7.150 * * [simplify]: Extracting #2: cost 11 inf + 1 7.150 * * [simplify]: Extracting #3: cost 10 inf + 2 7.150 * * [simplify]: Extracting #4: cost 0 inf + 1218 7.150 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) J) 7.151 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 7.151 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) 2)) 7.151 * * [simplify]: iters left: 6 (8 enodes) 7.155 * * [simplify]: iters left: 5 (27 enodes) 7.163 * * [simplify]: iters left: 4 (31 enodes) 7.172 * * [simplify]: iters left: 3 (33 enodes) 7.181 * * [simplify]: Extracting #0: cost 1 inf + 0 7.181 * * [simplify]: Extracting #1: cost 8 inf + 0 7.181 * * [simplify]: Extracting #2: cost 14 inf + 1 7.181 * * [simplify]: Extracting #3: cost 15 inf + 2 7.182 * * [simplify]: Extracting #4: cost 10 inf + 270 7.182 * * [simplify]: Extracting #5: cost 1 inf + 1690 7.183 * * [simplify]: Extracting #6: cost 0 inf + 1953 7.183 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) 2) 7.183 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (/ (cbrt U) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (* -2 J)))) 7.183 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 7.184 * [simplify]: Simplifying (/ (sqrt U) J) 7.184 * * [simplify]: iters left: 3 (4 enodes) 7.185 * * [simplify]: iters left: 2 (12 enodes) 7.189 * * [simplify]: Extracting #0: cost 1 inf + 0 7.189 * * [simplify]: Extracting #1: cost 4 inf + 0 7.189 * * [simplify]: Extracting #2: cost 5 inf + 1 7.189 * * [simplify]: Extracting #3: cost 4 inf + 2 7.189 * * [simplify]: Extracting #4: cost 0 inf + 248 7.190 * [simplify]: Simplified to (/ (sqrt U) J) 7.190 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 7.190 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) 2)) 7.190 * * [simplify]: iters left: 6 (8 enodes) 7.194 * * [simplify]: iters left: 5 (27 enodes) 7.203 * * [simplify]: iters left: 4 (31 enodes) 7.212 * * [simplify]: iters left: 3 (33 enodes) 7.218 * * [simplify]: Extracting #0: cost 1 inf + 0 7.218 * * [simplify]: Extracting #1: cost 8 inf + 0 7.218 * * [simplify]: Extracting #2: cost 14 inf + 1 7.218 * * [simplify]: Extracting #3: cost 15 inf + 2 7.218 * * [simplify]: Extracting #4: cost 10 inf + 230 7.218 * * [simplify]: Extracting #5: cost 1 inf + 1410 7.218 * * [simplify]: Extracting #6: cost 0 inf + 1633 7.219 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) 2) 7.219 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ (sqrt U) J) (/ (/ (sqrt U) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (* -2 J)))) 7.219 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 7.219 * [simplify]: Simplifying (/ 1 J) 7.219 * * [simplify]: iters left: 2 (3 enodes) 7.220 * * [simplify]: iters left: 1 (11 enodes) 7.222 * * [simplify]: Extracting #0: cost 1 inf + 0 7.222 * * [simplify]: Extracting #1: cost 4 inf + 0 7.222 * * [simplify]: Extracting #2: cost 2 inf + 2 7.222 * * [simplify]: Extracting #3: cost 0 inf + 86 7.222 * [simplify]: Simplified to (/ 1 J) 7.222 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ U (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* -2 J)))) 7.222 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) 2)) 7.222 * * [simplify]: iters left: 6 (7 enodes) 7.224 * * [simplify]: iters left: 5 (24 enodes) 7.228 * * [simplify]: iters left: 4 (28 enodes) 7.232 * * [simplify]: iters left: 3 (30 enodes) 7.236 * * [simplify]: Extracting #0: cost 1 inf + 0 7.236 * * [simplify]: Extracting #1: cost 8 inf + 0 7.236 * * [simplify]: Extracting #2: cost 11 inf + 2 7.236 * * [simplify]: Extracting #3: cost 11 inf + 86 7.236 * * [simplify]: Extracting #4: cost 8 inf + 171 7.236 * * [simplify]: Extracting #5: cost 2 inf + 986 7.237 * * [simplify]: Extracting #6: cost 0 inf + 1311 7.237 * [simplify]: Simplified to (/ (/ U 2) (cos (/ K 2))) 7.237 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (* (/ 1 J) (/ (/ U 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) 7.237 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 7.237 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 7.237 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 7.237 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 7.237 * [simplify]: Simplifying (* (cos (/ K 2)) 2) 7.237 * * [simplify]: iters left: 5 (5 enodes) 7.240 * * [simplify]: iters left: 4 (16 enodes) 7.245 * * [simplify]: Extracting #0: cost 1 inf + 0 7.245 * * [simplify]: Extracting #1: cost 4 inf + 0 7.245 * * [simplify]: Extracting #2: cost 5 inf + 1 7.245 * * [simplify]: Extracting #3: cost 7 inf + 1 7.245 * * [simplify]: Extracting #4: cost 6 inf + 2 7.245 * * [simplify]: Extracting #5: cost 0 inf + 574 7.245 * [simplify]: Simplified to (* (cos (/ K 2)) 2) 7.245 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J)))) 7.246 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 7.246 * [simplify]: Simplifying (* (cbrt U) (cbrt U)) 7.246 * * [simplify]: iters left: 3 (3 enodes) 7.247 * * [simplify]: iters left: 2 (9 enodes) 7.250 * * [simplify]: Extracting #0: cost 1 inf + 0 7.250 * * [simplify]: Extracting #1: cost 3 inf + 0 7.250 * * [simplify]: Extracting #2: cost 5 inf + 0 7.250 * * [simplify]: Extracting #3: cost 4 inf + 1 7.250 * * [simplify]: Extracting #4: cost 0 inf + 405 7.250 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 7.251 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)))) (* (cos (/ K 2)) (* -2 J)))) 7.251 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 7.251 * [simplify]: Simplifying (sqrt U) 7.251 * * [simplify]: iters left: 1 (2 enodes) 7.252 * * [simplify]: Extracting #0: cost 1 inf + 0 7.252 * * [simplify]: Extracting #1: cost 3 inf + 0 7.252 * * [simplify]: Extracting #2: cost 2 inf + 1 7.252 * * [simplify]: Extracting #3: cost 0 inf + 83 7.252 * [simplify]: Simplified to (sqrt U) 7.252 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (hypot 1 (/ (sqrt U) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)))) (* (cos (/ K 2)) (* -2 J)))) 7.252 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 7.252 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> 7.252 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 7.253 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 7.253 * * [simplify]: iters left: 6 (10 enodes) 7.259 * * [simplify]: iters left: 5 (44 enodes) 7.271 * * [simplify]: iters left: 4 (83 enodes) 7.286 * * [simplify]: iters left: 3 (132 enodes) 7.310 * * [simplify]: iters left: 2 (186 enodes) 7.342 * * [simplify]: iters left: 1 (263 enodes) 7.399 * * [simplify]: Extracting #0: cost 1 inf + 0 7.399 * * [simplify]: Extracting #1: cost 23 inf + 0 7.400 * * [simplify]: Extracting #2: cost 44 inf + 89 7.402 * * [simplify]: Extracting #3: cost 21 inf + 2920 7.405 * * [simplify]: Extracting #4: cost 0 inf + 4598 7.408 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 7.408 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 7.408 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 7.408 * [simplify]: Simplifying (* -1 U) 7.409 * * [simplify]: iters left: 2 (3 enodes) 7.411 * * [simplify]: iters left: 1 (11 enodes) 7.414 * * [simplify]: Extracting #0: cost 1 inf + 0 7.414 * * [simplify]: Extracting #1: cost 4 inf + 0 7.414 * * [simplify]: Extracting #2: cost 0 inf + 84 7.414 * [simplify]: Simplified to (- U) 7.414 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 7.414 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 7.415 * [simplify]: Simplifying (* -1 U) 7.415 * * [simplify]: iters left: 2 (3 enodes) 7.417 * * [simplify]: iters left: 1 (11 enodes) 7.420 * * [simplify]: Extracting #0: cost 1 inf + 0 7.420 * * [simplify]: Extracting #1: cost 4 inf + 0 7.420 * * [simplify]: Extracting #2: cost 0 inf + 84 7.421 * [simplify]: Simplified to (- U) 7.421 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 7.421 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 7.421 * [simplify]: Simplifying (* 2 J) 7.421 * * [simplify]: iters left: 2 (3 enodes) 7.423 * * [simplify]: iters left: 1 (10 enodes) 7.426 * * [simplify]: Extracting #0: cost 1 inf + 0 7.426 * * [simplify]: Extracting #1: cost 4 inf + 0 7.426 * * [simplify]: Extracting #2: cost 2 inf + 2 7.426 * * [simplify]: Extracting #3: cost 0 inf + 86 7.426 * [simplify]: Simplified to (* 2 J) 7.426 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* 2 J))) (* (cos (/ K 2)) (* -2 J)))) 7.427 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 7.427 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 7.427 * * [simplify]: iters left: 6 (8 enodes) 7.431 * * [simplify]: iters left: 5 (29 enodes) 7.440 * * [simplify]: iters left: 4 (37 enodes) 7.453 * * [simplify]: iters left: 3 (42 enodes) 7.464 * * [simplify]: Extracting #0: cost 1 inf + 0 7.464 * * [simplify]: Extracting #1: cost 8 inf + 0 7.464 * * [simplify]: Extracting #2: cost 11 inf + 2 7.464 * * [simplify]: Extracting #3: cost 13 inf + 44 7.464 * * [simplify]: Extracting #4: cost 9 inf + 130 7.465 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.465 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.466 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 7.466 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (cos (/ K 2)) (* -2 J)))) 7.466 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 7.467 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 7.467 * * [simplify]: iters left: 6 (8 enodes) 7.471 * * [simplify]: iters left: 5 (29 enodes) 7.480 * * [simplify]: iters left: 4 (37 enodes) 7.492 * * [simplify]: iters left: 3 (42 enodes) 7.503 * * [simplify]: Extracting #0: cost 1 inf + 0 7.503 * * [simplify]: Extracting #1: cost 8 inf + 0 7.503 * * [simplify]: Extracting #2: cost 11 inf + 2 7.503 * * [simplify]: Extracting #3: cost 13 inf + 44 7.503 * * [simplify]: Extracting #4: cost 9 inf + 130 7.503 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.504 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.504 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 7.505 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (* (cos (/ K 2)) (* -2 J)))) 7.505 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 7.505 * [simplify]: Simplifying (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 7.505 * * [simplify]: iters left: 6 (9 enodes) 7.511 * * [simplify]: iters left: 5 (40 enodes) 7.524 * * [simplify]: iters left: 4 (72 enodes) 7.548 * * [simplify]: iters left: 3 (117 enodes) 7.567 * * [simplify]: iters left: 2 (134 enodes) 7.593 * * [simplify]: iters left: 1 (136 enodes) 7.618 * * [simplify]: Extracting #0: cost 1 inf + 0 7.618 * * [simplify]: Extracting #1: cost 19 inf + 0 7.619 * * [simplify]: Extracting #2: cost 20 inf + 295 7.619 * * [simplify]: Extracting #3: cost 1 inf + 1761 7.620 * * [simplify]: Extracting #4: cost 0 inf + 1803 7.620 * [simplify]: Simplified to (* J (fma 1/4 (* K K) -2)) 7.620 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* J (fma 1/4 (* K K) -2)))) 7.621 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 7.621 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 7.621 * * [simplify]: iters left: 6 (8 enodes) 7.623 * * [simplify]: iters left: 5 (29 enodes) 7.628 * * [simplify]: iters left: 4 (37 enodes) 7.633 * * [simplify]: iters left: 3 (42 enodes) 7.639 * * [simplify]: Extracting #0: cost 1 inf + 0 7.639 * * [simplify]: Extracting #1: cost 8 inf + 0 7.639 * * [simplify]: Extracting #2: cost 11 inf + 2 7.639 * * [simplify]: Extracting #3: cost 13 inf + 44 7.639 * * [simplify]: Extracting #4: cost 9 inf + 130 7.639 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.640 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.640 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 7.640 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 7.640 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 7.640 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 7.640 * * [simplify]: iters left: 6 (8 enodes) 7.643 * * [simplify]: iters left: 5 (29 enodes) 7.647 * * [simplify]: iters left: 4 (37 enodes) 7.652 * * [simplify]: iters left: 3 (42 enodes) 7.658 * * [simplify]: Extracting #0: cost 1 inf + 0 7.658 * * [simplify]: Extracting #1: cost 8 inf + 0 7.658 * * [simplify]: Extracting #2: cost 11 inf + 2 7.658 * * [simplify]: Extracting #3: cost 13 inf + 44 7.658 * * [simplify]: Extracting #4: cost 9 inf + 130 7.658 * * [simplify]: Extracting #5: cost 1 inf + 1132 7.659 * * [simplify]: Extracting #6: cost 0 inf + 1316 7.659 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 7.659 * [simplify]: Simplified (2 2) to (λ (J K U) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (* (cos (* K 1/2)) -2) J))) 7.659 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 7.659 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 7.659 * * [simplify]: iters left: 6 (13 enodes) 7.664 * * [simplify]: iters left: 5 (55 enodes) 7.682 * * [simplify]: iters left: 4 (92 enodes) 7.700 * * [simplify]: iters left: 3 (155 enodes) 7.725 * * [simplify]: iters left: 2 (238 enodes) 7.780 * * [simplify]: iters left: 1 (367 enodes) 7.925 * * [simplify]: Extracting #0: cost 1 inf + 0 7.925 * * [simplify]: Extracting #1: cost 33 inf + 0 7.926 * * [simplify]: Extracting #2: cost 65 inf + 129 7.927 * * [simplify]: Extracting #3: cost 50 inf + 2235 7.931 * * [simplify]: Extracting #4: cost 4 inf + 6690 7.936 * * [simplify]: Extracting #5: cost 0 inf + 7294 7.942 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 7.942 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (* (cos (/ K 2)) (* -2 J)))) 7.942 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 7.943 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.943 * * [simplify]: iters left: 6 (9 enodes) 7.948 * * [simplify]: iters left: 5 (34 enodes) 7.958 * * [simplify]: iters left: 4 (56 enodes) 7.973 * * [simplify]: iters left: 3 (90 enodes) 7.986 * * [simplify]: iters left: 2 (114 enodes) 8.003 * * [simplify]: iters left: 1 (131 enodes) 8.042 * * [simplify]: Extracting #0: cost 1 inf + 0 8.042 * * [simplify]: Extracting #1: cost 22 inf + 0 8.042 * * [simplify]: Extracting #2: cost 37 inf + 3 8.043 * * [simplify]: Extracting #3: cost 31 inf + 380 8.044 * * [simplify]: Extracting #4: cost 17 inf + 1834 8.045 * * [simplify]: Extracting #5: cost 3 inf + 4117 8.048 * * [simplify]: Extracting #6: cost 0 inf + 4586 8.050 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 8.050 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 8.050 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 8.050 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.050 * * [simplify]: iters left: 6 (9 enodes) 8.055 * * [simplify]: iters left: 5 (34 enodes) 8.065 * * [simplify]: iters left: 4 (56 enodes) 8.082 * * [simplify]: iters left: 3 (90 enodes) 8.109 * * [simplify]: iters left: 2 (114 enodes) 8.140 * * [simplify]: iters left: 1 (131 enodes) 8.179 * * [simplify]: Extracting #0: cost 1 inf + 0 8.179 * * [simplify]: Extracting #1: cost 22 inf + 0 8.179 * * [simplify]: Extracting #2: cost 37 inf + 3 8.180 * * [simplify]: Extracting #3: cost 31 inf + 380 8.180 * * [simplify]: Extracting #4: cost 17 inf + 1834 8.181 * * [simplify]: Extracting #5: cost 3 inf + 4117 8.182 * * [simplify]: Extracting #6: cost 0 inf + 4586 8.183 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 8.183 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (* (cos (/ K 2)) (* -2 J)))) 8.183 * * * [progress]: adding candidates to table 9.559 * * [progress]: iteration 2 / 4 9.559 * * * [progress]: picking best candidate 9.605 * * * * [pick]: Picked # 9.606 * * * [progress]: localizing error 9.647 * * * [progress]: generating rewritten candidates 9.647 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.674 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 9.710 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 9.738 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.755 * * * [progress]: generating series expansions 9.756 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.756 * [backup-simplify]: Simplify (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 9.756 * [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 9.756 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 9.756 * [taylor]: Taking taylor expansion of -2 in K 9.756 * [backup-simplify]: Simplify -2 into -2 9.756 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 9.756 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.756 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.756 * [taylor]: Taking taylor expansion of 1/2 in K 9.756 * [backup-simplify]: Simplify 1/2 into 1/2 9.756 * [taylor]: Taking taylor expansion of K in K 9.756 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify 1 into 1 9.757 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.758 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.759 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 9.759 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 9.759 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.759 * [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 9.759 * [taylor]: Taking taylor expansion of (* 1 1) in K 9.759 * [taylor]: Taking taylor expansion of 1 in K 9.759 * [backup-simplify]: Simplify 1 into 1 9.759 * [taylor]: Taking taylor expansion of 1 in K 9.759 * [backup-simplify]: Simplify 1 into 1 9.759 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 9.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 9.759 * [taylor]: Taking taylor expansion of 1/2 in K 9.759 * [backup-simplify]: Simplify 1/2 into 1/2 9.759 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 9.759 * [taylor]: Taking taylor expansion of U in K 9.759 * [backup-simplify]: Simplify U into U 9.759 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.759 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.759 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.759 * [taylor]: Taking taylor expansion of 1/2 in K 9.759 * [backup-simplify]: Simplify 1/2 into 1/2 9.759 * [taylor]: Taking taylor expansion of K in K 9.759 * [backup-simplify]: Simplify 0 into 0 9.759 * [backup-simplify]: Simplify 1 into 1 9.760 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.761 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.761 * [taylor]: Taking taylor expansion of J in K 9.761 * [backup-simplify]: Simplify J into J 9.761 * [backup-simplify]: Simplify (* 1 J) into J 9.761 * [backup-simplify]: Simplify (/ U J) into (/ U J) 9.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 9.761 * [taylor]: Taking taylor expansion of 1/2 in K 9.761 * [backup-simplify]: Simplify 1/2 into 1/2 9.761 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 9.761 * [taylor]: Taking taylor expansion of U in K 9.761 * [backup-simplify]: Simplify U into U 9.761 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 9.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.761 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.761 * [taylor]: Taking taylor expansion of 1/2 in K 9.761 * [backup-simplify]: Simplify 1/2 into 1/2 9.761 * [taylor]: Taking taylor expansion of K in K 9.761 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify 1 into 1 9.762 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.762 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.762 * [taylor]: Taking taylor expansion of J in K 9.763 * [backup-simplify]: Simplify J into J 9.763 * [backup-simplify]: Simplify (* 1 J) into J 9.763 * [backup-simplify]: Simplify (/ U J) into (/ U J) 9.763 * [backup-simplify]: Simplify (* 1 1) into 1 9.763 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 9.763 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 9.763 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.764 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.764 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.765 * [backup-simplify]: Simplify (+ 0) into 0 9.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.766 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 9.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 9.767 * [backup-simplify]: Simplify (+ 0) into 0 9.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.767 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 9.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 9.768 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 9.768 * [backup-simplify]: Simplify (+ 0 0) into 0 9.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 9.769 * [taylor]: Taking taylor expansion of J in K 9.769 * [backup-simplify]: Simplify J into J 9.769 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 9.769 * [taylor]: Taking taylor expansion of -2 in J 9.769 * [backup-simplify]: Simplify -2 into -2 9.769 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 9.769 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.769 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.769 * [taylor]: Taking taylor expansion of 1/2 in J 9.769 * [backup-simplify]: Simplify 1/2 into 1/2 9.769 * [taylor]: Taking taylor expansion of K in J 9.769 * [backup-simplify]: Simplify K into K 9.769 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.769 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.769 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.769 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 9.769 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 9.769 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.769 * [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 9.769 * [taylor]: Taking taylor expansion of (* 1 1) in J 9.769 * [taylor]: Taking taylor expansion of 1 in J 9.769 * [backup-simplify]: Simplify 1 into 1 9.769 * [taylor]: Taking taylor expansion of 1 in J 9.769 * [backup-simplify]: Simplify 1 into 1 9.769 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 9.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 9.770 * [taylor]: Taking taylor expansion of 1/2 in J 9.770 * [backup-simplify]: Simplify 1/2 into 1/2 9.770 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 9.770 * [taylor]: Taking taylor expansion of U in J 9.770 * [backup-simplify]: Simplify U into U 9.770 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.770 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.770 * [taylor]: Taking taylor expansion of 1/2 in J 9.770 * [backup-simplify]: Simplify 1/2 into 1/2 9.770 * [taylor]: Taking taylor expansion of K in J 9.770 * [backup-simplify]: Simplify K into K 9.770 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.770 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.770 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.770 * [taylor]: Taking taylor expansion of J in J 9.770 * [backup-simplify]: Simplify 0 into 0 9.770 * [backup-simplify]: Simplify 1 into 1 9.770 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.770 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.771 * [backup-simplify]: Simplify (- 0) into 0 9.771 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.771 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.771 * [backup-simplify]: Simplify (+ 0) into 0 9.772 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.774 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.774 * [backup-simplify]: Simplify (- 0) into 0 9.774 * [backup-simplify]: Simplify (+ 0 0) into 0 9.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.775 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 9.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 9.775 * [taylor]: Taking taylor expansion of 1/2 in J 9.775 * [backup-simplify]: Simplify 1/2 into 1/2 9.775 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 9.775 * [taylor]: Taking taylor expansion of U in J 9.775 * [backup-simplify]: Simplify U into U 9.775 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.775 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.775 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.775 * [taylor]: Taking taylor expansion of 1/2 in J 9.775 * [backup-simplify]: Simplify 1/2 into 1/2 9.775 * [taylor]: Taking taylor expansion of K in J 9.775 * [backup-simplify]: Simplify K into K 9.775 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.775 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.775 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.776 * [taylor]: Taking taylor expansion of J in J 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify 1 into 1 9.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.776 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.776 * [backup-simplify]: Simplify (- 0) into 0 9.776 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.777 * [backup-simplify]: Simplify (+ 0) into 0 9.777 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.779 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.779 * [backup-simplify]: Simplify (- 0) into 0 9.780 * [backup-simplify]: Simplify (+ 0 0) into 0 9.780 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.780 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 9.780 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.781 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.781 * [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))) 9.781 * [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))) 9.781 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.783 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.785 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.786 * [backup-simplify]: Simplify (- 0) into 0 9.786 * [backup-simplify]: Simplify (+ 0 0) into 0 9.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.787 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 9.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 9.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.789 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.789 * [backup-simplify]: Simplify (- 0) into 0 9.790 * [backup-simplify]: Simplify (+ 0 0) into 0 9.790 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.790 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 9.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 9.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 9.791 * [taylor]: Taking taylor expansion of J in J 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify 1 into 1 9.791 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 9.791 * [taylor]: Taking taylor expansion of -2 in U 9.791 * [backup-simplify]: Simplify -2 into -2 9.791 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 9.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.791 * [taylor]: Taking taylor expansion of 1/2 in U 9.791 * [backup-simplify]: Simplify 1/2 into 1/2 9.791 * [taylor]: Taking taylor expansion of K in U 9.791 * [backup-simplify]: Simplify K into K 9.791 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.791 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.791 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.791 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 9.791 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.792 * [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 9.792 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.792 * [taylor]: Taking taylor expansion of 1 in U 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of 1 in U 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.792 * [taylor]: Taking taylor expansion of 1/2 in U 9.792 * [backup-simplify]: Simplify 1/2 into 1/2 9.792 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.792 * [taylor]: Taking taylor expansion of U in U 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.792 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.792 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.792 * [taylor]: Taking taylor expansion of 1/2 in U 9.792 * [backup-simplify]: Simplify 1/2 into 1/2 9.792 * [taylor]: Taking taylor expansion of K in U 9.792 * [backup-simplify]: Simplify K into K 9.792 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.792 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.792 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.792 * [taylor]: Taking taylor expansion of J in U 9.792 * [backup-simplify]: Simplify J into J 9.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.792 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.792 * [backup-simplify]: Simplify (- 0) into 0 9.792 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.793 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.793 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.793 * [taylor]: Taking taylor expansion of 1/2 in U 9.793 * [backup-simplify]: Simplify 1/2 into 1/2 9.793 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.793 * [taylor]: Taking taylor expansion of U in U 9.793 * [backup-simplify]: Simplify 0 into 0 9.793 * [backup-simplify]: Simplify 1 into 1 9.793 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.793 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.793 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.793 * [taylor]: Taking taylor expansion of 1/2 in U 9.793 * [backup-simplify]: Simplify 1/2 into 1/2 9.793 * [taylor]: Taking taylor expansion of K in U 9.793 * [backup-simplify]: Simplify K into K 9.793 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.793 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.793 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.793 * [taylor]: Taking taylor expansion of J in U 9.793 * [backup-simplify]: Simplify J into J 9.793 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.793 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.793 * [backup-simplify]: Simplify (- 0) into 0 9.793 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.793 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.794 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.794 * [backup-simplify]: Simplify (* 1 1) into 1 9.794 * [backup-simplify]: Simplify (+ 1 0) into 1 9.794 * [backup-simplify]: Simplify (sqrt 1) into 1 9.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.795 * [backup-simplify]: Simplify (+ 0 0) into 0 9.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.795 * [taylor]: Taking taylor expansion of J in U 9.795 * [backup-simplify]: Simplify J into J 9.795 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 9.796 * [taylor]: Taking taylor expansion of -2 in U 9.796 * [backup-simplify]: Simplify -2 into -2 9.796 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 9.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.796 * [taylor]: Taking taylor expansion of 1/2 in U 9.796 * [backup-simplify]: Simplify 1/2 into 1/2 9.796 * [taylor]: Taking taylor expansion of K in U 9.796 * [backup-simplify]: Simplify K into K 9.796 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.796 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.796 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.796 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 9.796 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 9.796 * [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 9.796 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.796 * [taylor]: Taking taylor expansion of 1 in U 9.796 * [backup-simplify]: Simplify 1 into 1 9.796 * [taylor]: Taking taylor expansion of 1 in U 9.796 * [backup-simplify]: Simplify 1 into 1 9.796 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 9.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.796 * [taylor]: Taking taylor expansion of 1/2 in U 9.796 * [backup-simplify]: Simplify 1/2 into 1/2 9.796 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.796 * [taylor]: Taking taylor expansion of U in U 9.796 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify 1 into 1 9.796 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.796 * [taylor]: Taking taylor expansion of 1/2 in U 9.796 * [backup-simplify]: Simplify 1/2 into 1/2 9.796 * [taylor]: Taking taylor expansion of K in U 9.796 * [backup-simplify]: Simplify K into K 9.796 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.796 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.796 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.796 * [taylor]: Taking taylor expansion of J in U 9.796 * [backup-simplify]: Simplify J into J 9.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.796 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.797 * [backup-simplify]: Simplify (- 0) into 0 9.797 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.797 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 9.797 * [taylor]: Taking taylor expansion of 1/2 in U 9.797 * [backup-simplify]: Simplify 1/2 into 1/2 9.797 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 9.797 * [taylor]: Taking taylor expansion of U in U 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 9.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.797 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.797 * [taylor]: Taking taylor expansion of 1/2 in U 9.797 * [backup-simplify]: Simplify 1/2 into 1/2 9.797 * [taylor]: Taking taylor expansion of K in U 9.797 * [backup-simplify]: Simplify K into K 9.797 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.797 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.797 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.797 * [taylor]: Taking taylor expansion of J in U 9.797 * [backup-simplify]: Simplify J into J 9.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.797 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.798 * [backup-simplify]: Simplify (- 0) into 0 9.798 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.798 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.798 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 9.798 * [backup-simplify]: Simplify (* 1 1) into 1 9.798 * [backup-simplify]: Simplify (+ 1 0) into 1 9.799 * [backup-simplify]: Simplify (sqrt 1) into 1 9.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.799 * [backup-simplify]: Simplify (+ 0 0) into 0 9.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.800 * [taylor]: Taking taylor expansion of J in U 9.800 * [backup-simplify]: Simplify J into J 9.800 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.800 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.800 * [backup-simplify]: Simplify (- 0) into 0 9.800 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.800 * [backup-simplify]: Simplify (* 1 J) into J 9.800 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 9.800 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 9.800 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 9.800 * [taylor]: Taking taylor expansion of -2 in J 9.800 * [backup-simplify]: Simplify -2 into -2 9.800 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.800 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.800 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.800 * [taylor]: Taking taylor expansion of 1/2 in J 9.800 * [backup-simplify]: Simplify 1/2 into 1/2 9.800 * [taylor]: Taking taylor expansion of K in J 9.800 * [backup-simplify]: Simplify K into K 9.800 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.800 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.801 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.801 * [taylor]: Taking taylor expansion of J in J 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 9.801 * [backup-simplify]: Simplify (+ 0) into 0 9.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.803 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.803 * [backup-simplify]: Simplify (- 0) into 0 9.803 * [backup-simplify]: Simplify (+ 0 0) into 0 9.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 9.804 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 9.804 * [taylor]: Taking taylor expansion of 0 in J 9.804 * [backup-simplify]: Simplify 0 into 0 9.804 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.804 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.804 * [backup-simplify]: Simplify (- 0) into 0 9.804 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.804 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.805 * [backup-simplify]: Simplify (* -2 0) into 0 9.805 * [taylor]: Taking taylor expansion of 0 in K 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.805 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 9.806 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 9.806 * [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))) 9.806 * [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)))) 9.807 * [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))) 9.807 * [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))) 9.808 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.810 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.810 * [backup-simplify]: Simplify (- 0) into 0 9.810 * [backup-simplify]: Simplify (+ 0 0) into 0 9.811 * [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))) 9.811 * [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)))) 9.811 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 9.811 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 9.811 * [taylor]: Taking taylor expansion of 1/4 in J 9.811 * [backup-simplify]: Simplify 1/4 into 1/4 9.811 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 9.811 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 9.811 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.811 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.811 * [taylor]: Taking taylor expansion of 1/2 in J 9.811 * [backup-simplify]: Simplify 1/2 into 1/2 9.811 * [taylor]: Taking taylor expansion of K in J 9.811 * [backup-simplify]: Simplify K into K 9.811 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.811 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.811 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.811 * [taylor]: Taking taylor expansion of J in J 9.811 * [backup-simplify]: Simplify 0 into 0 9.811 * [backup-simplify]: Simplify 1 into 1 9.811 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.811 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.812 * [backup-simplify]: Simplify (- 0) into 0 9.812 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.812 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 9.812 * [backup-simplify]: Simplify (+ 0) into 0 9.812 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.813 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.814 * [backup-simplify]: Simplify (- 0) into 0 9.814 * [backup-simplify]: Simplify (+ 0 0) into 0 9.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.814 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 9.814 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 9.815 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 9.815 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 9.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 9.815 * [taylor]: Taking taylor expansion of 1/4 in K 9.815 * [backup-simplify]: Simplify 1/4 into 1/4 9.815 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 9.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.815 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.815 * [taylor]: Taking taylor expansion of 1/2 in K 9.815 * [backup-simplify]: Simplify 1/2 into 1/2 9.815 * [taylor]: Taking taylor expansion of K in K 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.816 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.816 * [backup-simplify]: Simplify (/ 1 1) into 1 9.817 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.817 * [backup-simplify]: Simplify (- 1/4) into -1/4 9.817 * [backup-simplify]: Simplify -1/4 into -1/4 9.817 * [taylor]: Taking taylor expansion of 0 in K 9.817 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify (+ 0) into 0 9.818 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.824 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.825 * [backup-simplify]: Simplify (- 0) into 0 9.826 * [backup-simplify]: Simplify (+ 0 0) into 0 9.826 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 9.827 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 9.827 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 9.827 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 9.827 * [taylor]: Taking taylor expansion of 2 in K 9.827 * [backup-simplify]: Simplify 2 into 2 9.827 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.827 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.827 * [taylor]: Taking taylor expansion of 1/2 in K 9.827 * [backup-simplify]: Simplify 1/2 into 1/2 9.827 * [taylor]: Taking taylor expansion of K in K 9.827 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify 1 into 1 9.827 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.828 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.829 * [backup-simplify]: Simplify (* 2 1) into 2 9.829 * [backup-simplify]: Simplify (- 2) into -2 9.829 * [backup-simplify]: Simplify -2 into -2 9.829 * [backup-simplify]: Simplify 0 into 0 9.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.831 * [backup-simplify]: Simplify (+ 0) into 0 9.831 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.833 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.833 * [backup-simplify]: Simplify (- 0) into 0 9.833 * [backup-simplify]: Simplify (+ 0 0) into 0 9.834 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 9.834 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 9.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 9.835 * [backup-simplify]: Simplify (+ 0) into 0 9.835 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.837 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.837 * [backup-simplify]: Simplify (- 0) into 0 9.838 * [backup-simplify]: Simplify (+ 0 0) into 0 9.838 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 9.838 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 9.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 9.839 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 9.840 * [backup-simplify]: Simplify (+ 0 0) into 0 9.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 9.842 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.843 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 9.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.847 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.848 * [backup-simplify]: Simplify (- 0) into 0 9.848 * [backup-simplify]: Simplify (+ 0 0) into 0 9.849 * [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 9.850 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 9.850 * [taylor]: Taking taylor expansion of 0 in J 9.850 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.854 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.854 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.855 * [backup-simplify]: Simplify (- 0) into 0 9.855 * [backup-simplify]: Simplify (+ 0 0) into 0 9.856 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 9.856 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 9.857 * [backup-simplify]: Simplify (- 0) into 0 9.857 * [taylor]: Taking taylor expansion of 0 in K 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [taylor]: Taking taylor expansion of 0 in K 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 0 into 0 9.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.859 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.861 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.861 * [backup-simplify]: Simplify (- 0) into 0 9.861 * [backup-simplify]: Simplify (+ 0 0) into 0 9.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 9.863 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 9.863 * [taylor]: Taking taylor expansion of 0 in K 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify (+ 0) into 0 9.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.864 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.864 * [backup-simplify]: Simplify (- 0) into 0 9.864 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 9.865 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 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)) 9.865 * [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 9.865 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 9.865 * [taylor]: Taking taylor expansion of -2 in K 9.865 * [backup-simplify]: Simplify -2 into -2 9.865 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 9.865 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 9.865 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 9.865 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.865 * [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 9.865 * [taylor]: Taking taylor expansion of (* 1 1) in K 9.865 * [taylor]: Taking taylor expansion of 1 in K 9.865 * [backup-simplify]: Simplify 1 into 1 9.865 * [taylor]: Taking taylor expansion of 1 in K 9.865 * [backup-simplify]: Simplify 1 into 1 9.865 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 9.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 9.865 * [taylor]: Taking taylor expansion of 1/2 in K 9.865 * [backup-simplify]: Simplify 1/2 into 1/2 9.865 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 9.865 * [taylor]: Taking taylor expansion of J in K 9.865 * [backup-simplify]: Simplify J into J 9.865 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 9.865 * [taylor]: Taking taylor expansion of U in K 9.865 * [backup-simplify]: Simplify U into U 9.865 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.865 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.865 * [taylor]: Taking taylor expansion of 1/2 in K 9.865 * [backup-simplify]: Simplify 1/2 into 1/2 9.865 * [taylor]: Taking taylor expansion of K in K 9.865 * [backup-simplify]: Simplify 0 into 0 9.865 * [backup-simplify]: Simplify 1 into 1 9.865 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.866 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.866 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.866 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 9.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 9.866 * [taylor]: Taking taylor expansion of 1/2 in K 9.866 * [backup-simplify]: Simplify 1/2 into 1/2 9.866 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 9.866 * [taylor]: Taking taylor expansion of J in K 9.866 * [backup-simplify]: Simplify J into J 9.866 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 9.866 * [taylor]: Taking taylor expansion of U in K 9.866 * [backup-simplify]: Simplify U into U 9.866 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.866 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.866 * [taylor]: Taking taylor expansion of 1/2 in K 9.866 * [backup-simplify]: Simplify 1/2 into 1/2 9.866 * [taylor]: Taking taylor expansion of K in K 9.866 * [backup-simplify]: Simplify 0 into 0 9.866 * [backup-simplify]: Simplify 1 into 1 9.866 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.866 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.866 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.866 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 9.867 * [backup-simplify]: Simplify (* 1 1) into 1 9.867 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 9.867 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 9.867 * [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)))) 9.867 * [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) 9.867 * [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)) 9.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.868 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 9.868 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 9.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 9.869 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 9.869 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 9.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 9.869 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 9.869 * [backup-simplify]: Simplify (+ 0 0) into 0 9.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.870 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.870 * [taylor]: Taking taylor expansion of 1/2 in K 9.870 * [backup-simplify]: Simplify 1/2 into 1/2 9.870 * [taylor]: Taking taylor expansion of K in K 9.870 * [backup-simplify]: Simplify 0 into 0 9.870 * [backup-simplify]: Simplify 1 into 1 9.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.870 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.870 * [taylor]: Taking taylor expansion of J in K 9.870 * [backup-simplify]: Simplify J into J 9.870 * [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))) 9.871 * [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)) 9.871 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 9.871 * [taylor]: Taking taylor expansion of -2 in J 9.871 * [backup-simplify]: Simplify -2 into -2 9.871 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 9.871 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 9.871 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 9.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.871 * [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 9.871 * [taylor]: Taking taylor expansion of (* 1 1) in J 9.871 * [taylor]: Taking taylor expansion of 1 in J 9.871 * [backup-simplify]: Simplify 1 into 1 9.871 * [taylor]: Taking taylor expansion of 1 in J 9.871 * [backup-simplify]: Simplify 1 into 1 9.871 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 9.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 9.871 * [taylor]: Taking taylor expansion of 1/2 in J 9.871 * [backup-simplify]: Simplify 1/2 into 1/2 9.871 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 9.871 * [taylor]: Taking taylor expansion of J in J 9.871 * [backup-simplify]: Simplify 0 into 0 9.871 * [backup-simplify]: Simplify 1 into 1 9.871 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 9.871 * [taylor]: Taking taylor expansion of U in J 9.871 * [backup-simplify]: Simplify U into U 9.871 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.871 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.871 * [taylor]: Taking taylor expansion of 1/2 in J 9.871 * [backup-simplify]: Simplify 1/2 into 1/2 9.871 * [taylor]: Taking taylor expansion of K in J 9.871 * [backup-simplify]: Simplify K into K 9.871 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.871 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.871 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.871 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.872 * [backup-simplify]: Simplify (- 0) into 0 9.872 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.872 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.872 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 9.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 9.872 * [taylor]: Taking taylor expansion of 1/2 in J 9.872 * [backup-simplify]: Simplify 1/2 into 1/2 9.872 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 9.872 * [taylor]: Taking taylor expansion of J in J 9.872 * [backup-simplify]: Simplify 0 into 0 9.872 * [backup-simplify]: Simplify 1 into 1 9.872 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 9.872 * [taylor]: Taking taylor expansion of U in J 9.872 * [backup-simplify]: Simplify U into U 9.872 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.872 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.872 * [taylor]: Taking taylor expansion of 1/2 in J 9.872 * [backup-simplify]: Simplify 1/2 into 1/2 9.872 * [taylor]: Taking taylor expansion of K in J 9.872 * [backup-simplify]: Simplify K into K 9.872 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.872 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.872 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.872 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.872 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.873 * [backup-simplify]: Simplify (- 0) into 0 9.873 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.873 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 9.873 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 9.873 * [backup-simplify]: Simplify (* 1 1) into 1 9.873 * [backup-simplify]: Simplify (+ 1 0) into 1 9.874 * [backup-simplify]: Simplify (sqrt 1) into 1 9.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.874 * [backup-simplify]: Simplify (+ 0 0) into 0 9.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.875 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.875 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.875 * [taylor]: Taking taylor expansion of 1/2 in J 9.875 * [backup-simplify]: Simplify 1/2 into 1/2 9.875 * [taylor]: Taking taylor expansion of K in J 9.875 * [backup-simplify]: Simplify K into K 9.875 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.875 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.875 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.875 * [taylor]: Taking taylor expansion of J in J 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify 1 into 1 9.875 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.875 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.875 * [backup-simplify]: Simplify (- 0) into 0 9.875 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.875 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 9.875 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.875 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 9.875 * [taylor]: Taking taylor expansion of -2 in U 9.875 * [backup-simplify]: Simplify -2 into -2 9.875 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 9.875 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 9.875 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.876 * [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 9.876 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.876 * [taylor]: Taking taylor expansion of 1 in U 9.876 * [backup-simplify]: Simplify 1 into 1 9.876 * [taylor]: Taking taylor expansion of 1 in U 9.876 * [backup-simplify]: Simplify 1 into 1 9.876 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.876 * [taylor]: Taking taylor expansion of 1/2 in U 9.876 * [backup-simplify]: Simplify 1/2 into 1/2 9.876 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.876 * [taylor]: Taking taylor expansion of J in U 9.876 * [backup-simplify]: Simplify J into J 9.876 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.876 * [taylor]: Taking taylor expansion of U in U 9.876 * [backup-simplify]: Simplify 0 into 0 9.876 * [backup-simplify]: Simplify 1 into 1 9.876 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.876 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.876 * [taylor]: Taking taylor expansion of 1/2 in U 9.876 * [backup-simplify]: Simplify 1/2 into 1/2 9.876 * [taylor]: Taking taylor expansion of K in U 9.876 * [backup-simplify]: Simplify K into K 9.876 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.876 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.876 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.876 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.876 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.876 * [backup-simplify]: Simplify (- 0) into 0 9.876 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.876 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.877 * [backup-simplify]: Simplify (+ 0) into 0 9.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.877 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.878 * [backup-simplify]: Simplify (- 0) into 0 9.878 * [backup-simplify]: Simplify (+ 0 0) into 0 9.879 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.879 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.879 * [taylor]: Taking taylor expansion of 1/2 in U 9.879 * [backup-simplify]: Simplify 1/2 into 1/2 9.879 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.879 * [taylor]: Taking taylor expansion of J in U 9.879 * [backup-simplify]: Simplify J into J 9.879 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.879 * [taylor]: Taking taylor expansion of U in U 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.879 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.879 * [taylor]: Taking taylor expansion of 1/2 in U 9.879 * [backup-simplify]: Simplify 1/2 into 1/2 9.879 * [taylor]: Taking taylor expansion of K in U 9.879 * [backup-simplify]: Simplify K into K 9.879 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.879 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.879 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.879 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.879 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.879 * [backup-simplify]: Simplify (- 0) into 0 9.879 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.879 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.880 * [backup-simplify]: Simplify (+ 0) into 0 9.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.881 * [backup-simplify]: Simplify (- 0) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.882 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.882 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.882 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.882 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.882 * [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))) 9.882 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.882 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.883 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.884 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.884 * [backup-simplify]: Simplify (- 0) into 0 9.885 * [backup-simplify]: Simplify (+ 0 0) into 0 9.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.885 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.886 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.887 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.887 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.888 * [backup-simplify]: Simplify (- 0) into 0 9.888 * [backup-simplify]: Simplify (+ 0 0) into 0 9.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.889 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.889 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.889 * [backup-simplify]: Simplify (+ 0 0) into 0 9.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.890 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.890 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.890 * [taylor]: Taking taylor expansion of 1/2 in U 9.890 * [backup-simplify]: Simplify 1/2 into 1/2 9.890 * [taylor]: Taking taylor expansion of K in U 9.890 * [backup-simplify]: Simplify K into K 9.890 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.890 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.890 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.890 * [taylor]: Taking taylor expansion of J in U 9.890 * [backup-simplify]: Simplify J into J 9.890 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.890 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.890 * [backup-simplify]: Simplify (- 0) into 0 9.890 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.890 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 9.890 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 9.890 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 9.891 * [taylor]: Taking taylor expansion of -2 in U 9.891 * [backup-simplify]: Simplify -2 into -2 9.891 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 9.891 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 9.891 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 9.891 * [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 9.891 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.891 * [taylor]: Taking taylor expansion of 1 in U 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of 1 in U 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 9.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.891 * [taylor]: Taking taylor expansion of 1/2 in U 9.891 * [backup-simplify]: Simplify 1/2 into 1/2 9.891 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.891 * [taylor]: Taking taylor expansion of J in U 9.891 * [backup-simplify]: Simplify J into J 9.891 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.891 * [taylor]: Taking taylor expansion of U in U 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.891 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.891 * [taylor]: Taking taylor expansion of 1/2 in U 9.891 * [backup-simplify]: Simplify 1/2 into 1/2 9.891 * [taylor]: Taking taylor expansion of K in U 9.891 * [backup-simplify]: Simplify K into K 9.891 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.891 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.891 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.892 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.892 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.892 * [backup-simplify]: Simplify (- 0) into 0 9.892 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.892 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.893 * [backup-simplify]: Simplify (+ 0) into 0 9.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.893 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.895 * [backup-simplify]: Simplify (- 0) into 0 9.895 * [backup-simplify]: Simplify (+ 0 0) into 0 9.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.896 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 9.896 * [taylor]: Taking taylor expansion of 1/2 in U 9.896 * [backup-simplify]: Simplify 1/2 into 1/2 9.896 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 9.896 * [taylor]: Taking taylor expansion of J in U 9.896 * [backup-simplify]: Simplify J into J 9.896 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 9.896 * [taylor]: Taking taylor expansion of U in U 9.896 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify 1 into 1 9.896 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.896 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.896 * [taylor]: Taking taylor expansion of 1/2 in U 9.896 * [backup-simplify]: Simplify 1/2 into 1/2 9.896 * [taylor]: Taking taylor expansion of K in U 9.896 * [backup-simplify]: Simplify K into K 9.896 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.896 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.896 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.897 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.897 * [backup-simplify]: Simplify (- 0) into 0 9.897 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.897 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 9.898 * [backup-simplify]: Simplify (+ 0) into 0 9.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.900 * [backup-simplify]: Simplify (- 0) into 0 9.900 * [backup-simplify]: Simplify (+ 0 0) into 0 9.901 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 9.901 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 9.901 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.901 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.901 * [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))) 9.901 * [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))) 9.902 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.905 * [backup-simplify]: Simplify (- 0) into 0 9.906 * [backup-simplify]: Simplify (+ 0 0) into 0 9.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.907 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.909 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.910 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.911 * [backup-simplify]: Simplify (- 0) into 0 9.911 * [backup-simplify]: Simplify (+ 0 0) into 0 9.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 9.912 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 9.913 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.914 * [backup-simplify]: Simplify (+ 0 0) into 0 9.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.914 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.914 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.914 * [taylor]: Taking taylor expansion of 1/2 in U 9.914 * [backup-simplify]: Simplify 1/2 into 1/2 9.914 * [taylor]: Taking taylor expansion of K in U 9.914 * [backup-simplify]: Simplify K into K 9.914 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.914 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.914 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.915 * [taylor]: Taking taylor expansion of J in U 9.915 * [backup-simplify]: Simplify J into J 9.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.915 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.915 * [backup-simplify]: Simplify (- 0) into 0 9.915 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.915 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 9.915 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 9.916 * [backup-simplify]: Simplify (* -2 1/2) into -1 9.916 * [taylor]: Taking taylor expansion of -1 in J 9.916 * [backup-simplify]: Simplify -1 into -1 9.916 * [backup-simplify]: Simplify (+ 0) into 0 9.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.918 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.919 * [backup-simplify]: Simplify (- 0) into 0 9.919 * [backup-simplify]: Simplify (+ 0 0) into 0 9.919 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.919 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 9.920 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 9.920 * [taylor]: Taking taylor expansion of 0 in J 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [taylor]: Taking taylor expansion of -1 in K 9.921 * [backup-simplify]: Simplify -1 into -1 9.921 * [backup-simplify]: Simplify -1 into -1 9.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.922 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.924 * [backup-simplify]: Simplify (- 0) into 0 9.924 * [backup-simplify]: Simplify (+ 0 0) into 0 9.925 * [backup-simplify]: Simplify (* 1 1) into 1 9.926 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.929 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.929 * [backup-simplify]: Simplify (- 0) into 0 9.930 * [backup-simplify]: Simplify (+ 0 0) into 0 9.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.931 * [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 9.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 9.933 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.937 * [backup-simplify]: Simplify (- 0) into 0 9.937 * [backup-simplify]: Simplify (+ 0 0) into 0 9.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.938 * [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 9.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 9.940 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 9.940 * [backup-simplify]: Simplify (+ 1 0) into 1 9.941 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.942 * [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) 9.942 * [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)) 9.943 * [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)))) 9.943 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 9.943 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 9.943 * [taylor]: Taking taylor expansion of 2 in J 9.943 * [backup-simplify]: Simplify 2 into 2 9.943 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 9.943 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.943 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.943 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.943 * [taylor]: Taking taylor expansion of 1/2 in J 9.943 * [backup-simplify]: Simplify 1/2 into 1/2 9.943 * [taylor]: Taking taylor expansion of K in J 9.943 * [backup-simplify]: Simplify K into K 9.944 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.944 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.944 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.944 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.944 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.944 * [backup-simplify]: Simplify (- 0) into 0 9.944 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.944 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.944 * [taylor]: Taking taylor expansion of J in J 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 1 into 1 9.945 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.945 * [backup-simplify]: Simplify (* 1 1) into 1 9.945 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 9.945 * [backup-simplify]: Simplify (+ 0) into 0 9.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.948 * [backup-simplify]: Simplify (- 0) into 0 9.948 * [backup-simplify]: Simplify (+ 0 0) into 0 9.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 9.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.951 * [backup-simplify]: Simplify (- 0) into 0 9.951 * [taylor]: Taking taylor expansion of 0 in K 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [taylor]: Taking taylor expansion of 0 in K 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [taylor]: Taking taylor expansion of 0 in K 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [backup-simplify]: Simplify 0 into 0 9.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.958 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.961 * [backup-simplify]: Simplify (- 0) into 0 9.961 * [backup-simplify]: Simplify (+ 0 0) into 0 9.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.965 * [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 9.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.967 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.968 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 9.969 * [backup-simplify]: Simplify (- 0) into 0 9.969 * [backup-simplify]: Simplify (+ 0 0) into 0 9.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 9.971 * [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 9.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 9.973 * [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 9.973 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.974 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 9.975 * [backup-simplify]: Simplify (- 0) into 0 9.975 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 9.976 * [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 9.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 9.978 * [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 9.978 * [backup-simplify]: Simplify (+ 0 0) into 0 9.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.979 * [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 9.979 * [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 9.980 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 9.980 * [taylor]: Taking taylor expansion of 0 in J 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.981 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.982 * [backup-simplify]: Simplify (- 0) into 0 9.982 * [backup-simplify]: Simplify (+ 0 0) into 0 9.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.985 * [backup-simplify]: Simplify (- 0) into 0 9.985 * [taylor]: Taking taylor expansion of 0 in K 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [taylor]: Taking taylor expansion of 0 in K 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 9.985 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 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)) 9.985 * [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 9.985 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 9.985 * [taylor]: Taking taylor expansion of 2 in K 9.985 * [backup-simplify]: Simplify 2 into 2 9.985 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 9.985 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 9.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.985 * [taylor]: Taking taylor expansion of -1/2 in K 9.985 * [backup-simplify]: Simplify -1/2 into -1/2 9.985 * [taylor]: Taking taylor expansion of K in K 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify 1 into 1 9.985 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.986 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 9.986 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 9.986 * [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 9.986 * [taylor]: Taking taylor expansion of (* 1 1) in K 9.986 * [taylor]: Taking taylor expansion of 1 in K 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [taylor]: Taking taylor expansion of 1 in K 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 9.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 9.986 * [taylor]: Taking taylor expansion of 1/2 in K 9.986 * [backup-simplify]: Simplify 1/2 into 1/2 9.986 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 9.986 * [taylor]: Taking taylor expansion of J in K 9.986 * [backup-simplify]: Simplify J into J 9.986 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 9.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.986 * [taylor]: Taking taylor expansion of -1/2 in K 9.986 * [backup-simplify]: Simplify -1/2 into -1/2 9.986 * [taylor]: Taking taylor expansion of K in K 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.986 * [taylor]: Taking taylor expansion of U in K 9.986 * [backup-simplify]: Simplify U into U 9.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 9.986 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 9.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 9.987 * [taylor]: Taking taylor expansion of 1/2 in K 9.987 * [backup-simplify]: Simplify 1/2 into 1/2 9.987 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 9.987 * [taylor]: Taking taylor expansion of J in K 9.987 * [backup-simplify]: Simplify J into J 9.987 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 9.987 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.987 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.987 * [taylor]: Taking taylor expansion of -1/2 in K 9.987 * [backup-simplify]: Simplify -1/2 into -1/2 9.987 * [taylor]: Taking taylor expansion of K in K 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 1 into 1 9.987 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.987 * [taylor]: Taking taylor expansion of U in K 9.987 * [backup-simplify]: Simplify U into U 9.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 9.987 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 9.987 * [backup-simplify]: Simplify (* 1 1) into 1 9.988 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 9.988 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 9.988 * [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)))) 9.988 * [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))))) 9.988 * [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)))))) 9.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 9.989 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 9.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 9.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 9.990 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 9.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 9.990 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 9.990 * [backup-simplify]: Simplify (+ 0 0) into 0 9.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 9.991 * [taylor]: Taking taylor expansion of J in K 9.991 * [backup-simplify]: Simplify J into J 9.991 * [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))))))) 9.991 * [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))))))) 9.991 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 9.991 * [taylor]: Taking taylor expansion of 2 in J 9.991 * [backup-simplify]: Simplify 2 into 2 9.991 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 9.991 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 9.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.991 * [taylor]: Taking taylor expansion of -1/2 in J 9.991 * [backup-simplify]: Simplify -1/2 into -1/2 9.991 * [taylor]: Taking taylor expansion of K in J 9.991 * [backup-simplify]: Simplify K into K 9.991 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.992 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 9.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 9.992 * [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 9.992 * [taylor]: Taking taylor expansion of (* 1 1) in J 9.992 * [taylor]: Taking taylor expansion of 1 in J 9.992 * [backup-simplify]: Simplify 1 into 1 9.992 * [taylor]: Taking taylor expansion of 1 in J 9.992 * [backup-simplify]: Simplify 1 into 1 9.992 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 9.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 9.992 * [taylor]: Taking taylor expansion of 1/2 in J 9.992 * [backup-simplify]: Simplify 1/2 into 1/2 9.992 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 9.992 * [taylor]: Taking taylor expansion of J in J 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 1 into 1 9.992 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 9.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.992 * [taylor]: Taking taylor expansion of -1/2 in J 9.992 * [backup-simplify]: Simplify -1/2 into -1/2 9.992 * [taylor]: Taking taylor expansion of K in J 9.992 * [backup-simplify]: Simplify K into K 9.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.992 * [taylor]: Taking taylor expansion of U in J 9.992 * [backup-simplify]: Simplify U into U 9.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.992 * [backup-simplify]: Simplify (- 0) into 0 9.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 9.993 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 9.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 9.993 * [taylor]: Taking taylor expansion of 1/2 in J 9.993 * [backup-simplify]: Simplify 1/2 into 1/2 9.993 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 9.993 * [taylor]: Taking taylor expansion of J in J 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify 1 into 1 9.993 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 9.993 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.993 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.993 * [taylor]: Taking taylor expansion of -1/2 in J 9.993 * [backup-simplify]: Simplify -1/2 into -1/2 9.993 * [taylor]: Taking taylor expansion of K in J 9.993 * [backup-simplify]: Simplify K into K 9.993 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.993 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.993 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.993 * [taylor]: Taking taylor expansion of U in J 9.993 * [backup-simplify]: Simplify U into U 9.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.993 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.993 * [backup-simplify]: Simplify (- 0) into 0 9.993 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 9.994 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 9.994 * [backup-simplify]: Simplify (* 1 1) into 1 9.994 * [backup-simplify]: Simplify (+ 1 0) into 1 9.994 * [backup-simplify]: Simplify (sqrt 1) into 1 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.995 * [backup-simplify]: Simplify (+ 0 0) into 0 9.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.995 * [taylor]: Taking taylor expansion of J in J 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 1 into 1 9.995 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.996 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.996 * [backup-simplify]: Simplify (- 0) into 0 9.996 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.996 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.996 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 9.996 * [taylor]: Taking taylor expansion of 2 in U 9.996 * [backup-simplify]: Simplify 2 into 2 9.996 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 9.996 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 9.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.996 * [taylor]: Taking taylor expansion of -1/2 in U 9.996 * [backup-simplify]: Simplify -1/2 into -1/2 9.996 * [taylor]: Taking taylor expansion of K in U 9.996 * [backup-simplify]: Simplify K into K 9.996 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.996 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.996 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.996 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 9.996 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 9.996 * [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 9.996 * [taylor]: Taking taylor expansion of (* 1 1) in U 9.996 * [taylor]: Taking taylor expansion of 1 in U 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [taylor]: Taking taylor expansion of 1 in U 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 9.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 9.996 * [taylor]: Taking taylor expansion of 1/2 in U 9.996 * [backup-simplify]: Simplify 1/2 into 1/2 9.996 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 9.996 * [taylor]: Taking taylor expansion of J in U 9.996 * [backup-simplify]: Simplify J into J 9.997 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 9.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.997 * [taylor]: Taking taylor expansion of -1/2 in U 9.997 * [backup-simplify]: Simplify -1/2 into -1/2 9.997 * [taylor]: Taking taylor expansion of K in U 9.997 * [backup-simplify]: Simplify K into K 9.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.997 * [taylor]: Taking taylor expansion of U in U 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.997 * [backup-simplify]: Simplify (- 0) into 0 9.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 9.997 * [backup-simplify]: Simplify (+ 0) into 0 9.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.998 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.999 * [backup-simplify]: Simplify (- 0) into 0 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 9.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 9.999 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 9.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 9.999 * [taylor]: Taking taylor expansion of 1/2 in U 9.999 * [backup-simplify]: Simplify 1/2 into 1/2 10.000 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.000 * [taylor]: Taking taylor expansion of J in U 10.000 * [backup-simplify]: Simplify J into J 10.000 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.000 * [taylor]: Taking taylor expansion of -1/2 in U 10.000 * [backup-simplify]: Simplify -1/2 into -1/2 10.000 * [taylor]: Taking taylor expansion of K in U 10.000 * [backup-simplify]: Simplify K into K 10.000 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.000 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.000 * [taylor]: Taking taylor expansion of U in U 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 1 into 1 10.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.000 * [backup-simplify]: Simplify (- 0) into 0 10.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.001 * [backup-simplify]: Simplify (+ 0) into 0 10.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.002 * [backup-simplify]: Simplify (- 0) into 0 10.002 * [backup-simplify]: Simplify (+ 0 0) into 0 10.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.003 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.003 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.003 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.003 * [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))) 10.004 * [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))) 10.004 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.007 * [backup-simplify]: Simplify (- 0) into 0 10.008 * [backup-simplify]: Simplify (+ 0 0) into 0 10.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.013 * [backup-simplify]: Simplify (- 0) into 0 10.013 * [backup-simplify]: Simplify (+ 0 0) into 0 10.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.014 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.015 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.015 * [backup-simplify]: Simplify (+ 0 0) into 0 10.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.015 * [taylor]: Taking taylor expansion of J in U 10.015 * [backup-simplify]: Simplify J into J 10.015 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.016 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.016 * [backup-simplify]: Simplify (- 0) into 0 10.016 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.016 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.016 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.016 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 10.016 * [taylor]: Taking taylor expansion of 2 in U 10.016 * [backup-simplify]: Simplify 2 into 2 10.016 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 10.016 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.016 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.017 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.017 * [taylor]: Taking taylor expansion of -1/2 in U 10.017 * [backup-simplify]: Simplify -1/2 into -1/2 10.017 * [taylor]: Taking taylor expansion of K in U 10.017 * [backup-simplify]: Simplify K into K 10.017 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.017 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.017 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.017 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.017 * [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 10.017 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.017 * [taylor]: Taking taylor expansion of 1 in U 10.017 * [backup-simplify]: Simplify 1 into 1 10.017 * [taylor]: Taking taylor expansion of 1 in U 10.017 * [backup-simplify]: Simplify 1 into 1 10.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.017 * [taylor]: Taking taylor expansion of 1/2 in U 10.017 * [backup-simplify]: Simplify 1/2 into 1/2 10.017 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.017 * [taylor]: Taking taylor expansion of J in U 10.017 * [backup-simplify]: Simplify J into J 10.017 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.017 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.017 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.017 * [taylor]: Taking taylor expansion of -1/2 in U 10.017 * [backup-simplify]: Simplify -1/2 into -1/2 10.018 * [taylor]: Taking taylor expansion of K in U 10.018 * [backup-simplify]: Simplify K into K 10.018 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.018 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.018 * [taylor]: Taking taylor expansion of U in U 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 1 into 1 10.018 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.018 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.019 * [backup-simplify]: Simplify (- 0) into 0 10.019 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.019 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.019 * [backup-simplify]: Simplify (+ 0) into 0 10.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.021 * [backup-simplify]: Simplify (- 0) into 0 10.022 * [backup-simplify]: Simplify (+ 0 0) into 0 10.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.022 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.022 * [taylor]: Taking taylor expansion of 1/2 in U 10.022 * [backup-simplify]: Simplify 1/2 into 1/2 10.022 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.023 * [taylor]: Taking taylor expansion of J in U 10.023 * [backup-simplify]: Simplify J into J 10.023 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.023 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.023 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.023 * [taylor]: Taking taylor expansion of -1/2 in U 10.023 * [backup-simplify]: Simplify -1/2 into -1/2 10.023 * [taylor]: Taking taylor expansion of K in U 10.023 * [backup-simplify]: Simplify K into K 10.023 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.023 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.023 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.023 * [taylor]: Taking taylor expansion of U in U 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.023 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.024 * [backup-simplify]: Simplify (- 0) into 0 10.024 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.024 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.024 * [backup-simplify]: Simplify (+ 0) into 0 10.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.027 * [backup-simplify]: Simplify (- 0) into 0 10.027 * [backup-simplify]: Simplify (+ 0 0) into 0 10.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.027 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.028 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.028 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.028 * [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))) 10.028 * [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))) 10.028 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.030 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.032 * [backup-simplify]: Simplify (- 0) into 0 10.032 * [backup-simplify]: Simplify (+ 0 0) into 0 10.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.033 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.037 * [backup-simplify]: Simplify (- 0) into 0 10.038 * [backup-simplify]: Simplify (+ 0 0) into 0 10.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.039 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.040 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.040 * [backup-simplify]: Simplify (+ 0 0) into 0 10.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.040 * [taylor]: Taking taylor expansion of J in U 10.040 * [backup-simplify]: Simplify J into J 10.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.040 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.041 * [backup-simplify]: Simplify (- 0) into 0 10.041 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.041 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.041 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.042 * [backup-simplify]: Simplify (* 2 1/2) into 1 10.042 * [taylor]: Taking taylor expansion of 1 in J 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (+ 0) into 0 10.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.044 * [backup-simplify]: Simplify (- 0) into 0 10.045 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.045 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 10.046 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 10.046 * [taylor]: Taking taylor expansion of 0 in J 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [taylor]: Taking taylor expansion of 1 in K 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify (* 1 1) into 1 10.047 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.048 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.048 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.050 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.051 * [backup-simplify]: Simplify (- 0) into 0 10.051 * [backup-simplify]: Simplify (+ 0 0) into 0 10.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.053 * [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 10.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.058 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.058 * [backup-simplify]: Simplify (- 0) into 0 10.058 * [backup-simplify]: Simplify (+ 0 0) into 0 10.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.059 * [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 10.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.061 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 10.061 * [backup-simplify]: Simplify (+ 1 0) into 1 10.062 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.065 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.066 * [backup-simplify]: Simplify (- 0) into 0 10.066 * [backup-simplify]: Simplify (+ 0 0) into 0 10.067 * [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) 10.067 * [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)) 10.068 * [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))) 10.068 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 10.068 * [taylor]: Taking taylor expansion of 2 in J 10.068 * [backup-simplify]: Simplify 2 into 2 10.068 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 10.068 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.068 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.068 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.068 * [taylor]: Taking taylor expansion of -1/2 in J 10.068 * [backup-simplify]: Simplify -1/2 into -1/2 10.068 * [taylor]: Taking taylor expansion of K in J 10.068 * [backup-simplify]: Simplify K into K 10.068 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.068 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.068 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.069 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.069 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.069 * [backup-simplify]: Simplify (- 0) into 0 10.069 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.069 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.069 * [taylor]: Taking taylor expansion of J in J 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.069 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.070 * [backup-simplify]: Simplify (* 1 1) into 1 10.070 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.070 * [backup-simplify]: Simplify (+ 0) into 0 10.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.072 * [backup-simplify]: Simplify (- 0) into 0 10.073 * [backup-simplify]: Simplify (+ 0 0) into 0 10.073 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 10.075 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 10.075 * [taylor]: Taking taylor expansion of 0 in K 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [taylor]: Taking taylor expansion of 0 in K 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [taylor]: Taking taylor expansion of 0 in K 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.079 * [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 10.084 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.086 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.088 * [backup-simplify]: Simplify (- 0) into 0 10.088 * [backup-simplify]: Simplify (+ 0 0) into 0 10.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.089 * [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 10.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.093 * [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 10.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.095 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.096 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.098 * [backup-simplify]: Simplify (- 0) into 0 10.098 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.100 * [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 10.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.102 * [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 10.102 * [backup-simplify]: Simplify (+ 0 0) into 0 10.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.104 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.107 * [backup-simplify]: Simplify (- 0) into 0 10.108 * [backup-simplify]: Simplify (+ 0 0) into 0 10.108 * [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 10.109 * [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 10.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 10.110 * [taylor]: Taking taylor expansion of 0 in J 10.110 * [backup-simplify]: Simplify 0 into 0 10.111 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.113 * [backup-simplify]: Simplify (- 0) into 0 10.114 * [backup-simplify]: Simplify (+ 0 0) into 0 10.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 10.117 * [taylor]: Taking taylor expansion of 0 in K 10.117 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [taylor]: Taking taylor expansion of 0 in K 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 10.118 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 10.118 * [backup-simplify]: Simplify (* J (* (cos (/ K 2)) 2)) into (* 2 (* (cos (* 1/2 K)) J)) 10.118 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 10.118 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 10.118 * [taylor]: Taking taylor expansion of 2 in K 10.118 * [backup-simplify]: Simplify 2 into 2 10.118 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.118 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.118 * [taylor]: Taking taylor expansion of 1/2 in K 10.118 * [backup-simplify]: Simplify 1/2 into 1/2 10.118 * [taylor]: Taking taylor expansion of K in K 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 1 into 1 10.119 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.119 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.119 * [taylor]: Taking taylor expansion of J in K 10.119 * [backup-simplify]: Simplify J into J 10.119 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.120 * [taylor]: Taking taylor expansion of 2 in J 10.120 * [backup-simplify]: Simplify 2 into 2 10.120 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.120 * [taylor]: Taking taylor expansion of 1/2 in J 10.120 * [backup-simplify]: Simplify 1/2 into 1/2 10.120 * [taylor]: Taking taylor expansion of K in J 10.120 * [backup-simplify]: Simplify K into K 10.120 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.120 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.120 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.120 * [taylor]: Taking taylor expansion of J in J 10.120 * [backup-simplify]: Simplify 0 into 0 10.120 * [backup-simplify]: Simplify 1 into 1 10.120 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.120 * [taylor]: Taking taylor expansion of 2 in J 10.120 * [backup-simplify]: Simplify 2 into 2 10.120 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.120 * [taylor]: Taking taylor expansion of 1/2 in J 10.120 * [backup-simplify]: Simplify 1/2 into 1/2 10.120 * [taylor]: Taking taylor expansion of K in J 10.120 * [backup-simplify]: Simplify K into K 10.120 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.120 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.120 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.121 * [taylor]: Taking taylor expansion of J in J 10.121 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify 1 into 1 10.121 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.121 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.121 * [backup-simplify]: Simplify (- 0) into 0 10.121 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.121 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.122 * [backup-simplify]: Simplify (* 2 0) into 0 10.122 * [taylor]: Taking taylor expansion of 0 in K 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify (+ 0) into 0 10.123 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.125 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.125 * [backup-simplify]: Simplify (- 0) into 0 10.126 * [backup-simplify]: Simplify (+ 0 0) into 0 10.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.126 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 10.126 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 10.126 * [taylor]: Taking taylor expansion of 2 in K 10.126 * [backup-simplify]: Simplify 2 into 2 10.127 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.127 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.127 * [taylor]: Taking taylor expansion of 1/2 in K 10.127 * [backup-simplify]: Simplify 1/2 into 1/2 10.127 * [taylor]: Taking taylor expansion of K in K 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 1 into 1 10.127 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.128 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.128 * [backup-simplify]: Simplify (* 2 1) into 2 10.128 * [backup-simplify]: Simplify 2 into 2 10.128 * [backup-simplify]: Simplify 0 into 0 10.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.132 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.132 * [backup-simplify]: Simplify (- 0) into 0 10.133 * [backup-simplify]: Simplify (+ 0 0) into 0 10.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 10.134 * [taylor]: Taking taylor expansion of 0 in K 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify (+ 0) into 0 10.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.137 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.140 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.141 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.141 * [backup-simplify]: Simplify (- 0) into 0 10.141 * [backup-simplify]: Simplify (+ 0 0) into 0 10.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 10.144 * [taylor]: Taking taylor expansion of 0 in K 10.144 * [backup-simplify]: Simplify 0 into 0 10.144 * [backup-simplify]: Simplify 0 into 0 10.144 * [backup-simplify]: Simplify 0 into 0 10.144 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 10.144 * [backup-simplify]: Simplify (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)) into (* 2 (/ (cos (/ 1/2 K)) J)) 10.144 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 10.144 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 10.144 * [taylor]: Taking taylor expansion of 2 in K 10.144 * [backup-simplify]: Simplify 2 into 2 10.144 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.144 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.144 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.144 * [taylor]: Taking taylor expansion of 1/2 in K 10.144 * [backup-simplify]: Simplify 1/2 into 1/2 10.144 * [taylor]: Taking taylor expansion of K in K 10.144 * [backup-simplify]: Simplify 0 into 0 10.144 * [backup-simplify]: Simplify 1 into 1 10.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.145 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.145 * [taylor]: Taking taylor expansion of J in K 10.145 * [backup-simplify]: Simplify J into J 10.145 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.145 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.145 * [taylor]: Taking taylor expansion of 2 in J 10.145 * [backup-simplify]: Simplify 2 into 2 10.145 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.145 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.145 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.145 * [taylor]: Taking taylor expansion of 1/2 in J 10.145 * [backup-simplify]: Simplify 1/2 into 1/2 10.145 * [taylor]: Taking taylor expansion of K in J 10.145 * [backup-simplify]: Simplify K into K 10.145 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.145 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.145 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.146 * [taylor]: Taking taylor expansion of J in J 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 1 into 1 10.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.146 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.146 * [backup-simplify]: Simplify (- 0) into 0 10.146 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.146 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.146 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.146 * [taylor]: Taking taylor expansion of 2 in J 10.146 * [backup-simplify]: Simplify 2 into 2 10.146 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.147 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.147 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.147 * [taylor]: Taking taylor expansion of 1/2 in J 10.147 * [backup-simplify]: Simplify 1/2 into 1/2 10.147 * [taylor]: Taking taylor expansion of K in J 10.147 * [backup-simplify]: Simplify K into K 10.147 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.147 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.147 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.147 * [taylor]: Taking taylor expansion of J in J 10.147 * [backup-simplify]: Simplify 0 into 0 10.147 * [backup-simplify]: Simplify 1 into 1 10.147 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.147 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.147 * [backup-simplify]: Simplify (- 0) into 0 10.148 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.148 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.148 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.148 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 10.148 * [taylor]: Taking taylor expansion of 2 in K 10.148 * [backup-simplify]: Simplify 2 into 2 10.148 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.148 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.148 * [taylor]: Taking taylor expansion of 1/2 in K 10.148 * [backup-simplify]: Simplify 1/2 into 1/2 10.148 * [taylor]: Taking taylor expansion of K in K 10.148 * [backup-simplify]: Simplify 0 into 0 10.148 * [backup-simplify]: Simplify 1 into 1 10.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.149 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.149 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.149 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.149 * [backup-simplify]: Simplify (+ 0) into 0 10.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.151 * [backup-simplify]: Simplify (- 0) into 0 10.152 * [backup-simplify]: Simplify (+ 0 0) into 0 10.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 10.153 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.153 * [taylor]: Taking taylor expansion of 0 in K 10.153 * [backup-simplify]: Simplify 0 into 0 10.153 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.154 * [backup-simplify]: Simplify 0 into 0 10.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.156 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.157 * [backup-simplify]: Simplify (- 0) into 0 10.158 * [backup-simplify]: Simplify (+ 0 0) into 0 10.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.160 * [taylor]: Taking taylor expansion of 0 in K 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.161 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.166 * [backup-simplify]: Simplify (- 0) into 0 10.166 * [backup-simplify]: Simplify (+ 0 0) into 0 10.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.169 * [taylor]: Taking taylor expansion of 0 in K 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 10.170 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* -2 (/ (cos (/ -1/2 K)) J)) 10.170 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 10.170 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 10.170 * [taylor]: Taking taylor expansion of -2 in K 10.170 * [backup-simplify]: Simplify -2 into -2 10.170 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 10.170 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.170 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.170 * [taylor]: Taking taylor expansion of -1/2 in K 10.170 * [backup-simplify]: Simplify -1/2 into -1/2 10.170 * [taylor]: Taking taylor expansion of K in K 10.170 * [backup-simplify]: Simplify 0 into 0 10.170 * [backup-simplify]: Simplify 1 into 1 10.170 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.171 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.171 * [taylor]: Taking taylor expansion of J in K 10.171 * [backup-simplify]: Simplify J into J 10.171 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 10.171 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.171 * [taylor]: Taking taylor expansion of -2 in J 10.171 * [backup-simplify]: Simplify -2 into -2 10.171 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.171 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.171 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.171 * [taylor]: Taking taylor expansion of -1/2 in J 10.171 * [backup-simplify]: Simplify -1/2 into -1/2 10.171 * [taylor]: Taking taylor expansion of K in J 10.171 * [backup-simplify]: Simplify K into K 10.171 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.171 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.171 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.171 * [taylor]: Taking taylor expansion of J in J 10.171 * [backup-simplify]: Simplify 0 into 0 10.171 * [backup-simplify]: Simplify 1 into 1 10.171 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.172 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.172 * [backup-simplify]: Simplify (- 0) into 0 10.172 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.172 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.172 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.172 * [taylor]: Taking taylor expansion of -2 in J 10.172 * [backup-simplify]: Simplify -2 into -2 10.172 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.172 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.172 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.172 * [taylor]: Taking taylor expansion of -1/2 in J 10.172 * [backup-simplify]: Simplify -1/2 into -1/2 10.172 * [taylor]: Taking taylor expansion of K in J 10.172 * [backup-simplify]: Simplify K into K 10.172 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.173 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.173 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.173 * [taylor]: Taking taylor expansion of J in J 10.173 * [backup-simplify]: Simplify 0 into 0 10.173 * [backup-simplify]: Simplify 1 into 1 10.173 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.173 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.173 * [backup-simplify]: Simplify (- 0) into 0 10.174 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.174 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.174 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.174 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 10.174 * [taylor]: Taking taylor expansion of -2 in K 10.174 * [backup-simplify]: Simplify -2 into -2 10.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.174 * [taylor]: Taking taylor expansion of -1/2 in K 10.174 * [backup-simplify]: Simplify -1/2 into -1/2 10.174 * [taylor]: Taking taylor expansion of K in K 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify 1 into 1 10.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.175 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.175 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.175 * [backup-simplify]: Simplify (+ 0) into 0 10.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.177 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.177 * [backup-simplify]: Simplify (- 0) into 0 10.178 * [backup-simplify]: Simplify (+ 0 0) into 0 10.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.179 * [taylor]: Taking taylor expansion of 0 in K 10.179 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.183 * [backup-simplify]: Simplify (- 0) into 0 10.184 * [backup-simplify]: Simplify (+ 0 0) into 0 10.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.186 * [taylor]: Taking taylor expansion of 0 in K 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.187 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.192 * [backup-simplify]: Simplify (- 0) into 0 10.192 * [backup-simplify]: Simplify (+ 0 0) into 0 10.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.195 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 10.195 * [taylor]: Taking taylor expansion of 0 in K 10.195 * [backup-simplify]: Simplify 0 into 0 10.195 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 10.196 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 10.196 * [backup-simplify]: Simplify (/ U (* J (* (cos (/ K 2)) 2))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.196 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 10.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.196 * [taylor]: Taking taylor expansion of 1/2 in K 10.196 * [backup-simplify]: Simplify 1/2 into 1/2 10.196 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.196 * [taylor]: Taking taylor expansion of U in K 10.196 * [backup-simplify]: Simplify U into U 10.196 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.196 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.196 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.196 * [taylor]: Taking taylor expansion of 1/2 in K 10.196 * [backup-simplify]: Simplify 1/2 into 1/2 10.196 * [taylor]: Taking taylor expansion of K in K 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 1 into 1 10.197 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.197 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.197 * [taylor]: Taking taylor expansion of J in K 10.197 * [backup-simplify]: Simplify J into J 10.198 * [backup-simplify]: Simplify (* 1 J) into J 10.198 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.198 * [taylor]: Taking taylor expansion of 1/2 in J 10.198 * [backup-simplify]: Simplify 1/2 into 1/2 10.198 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.198 * [taylor]: Taking taylor expansion of U in J 10.198 * [backup-simplify]: Simplify U into U 10.198 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.198 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.198 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.198 * [taylor]: Taking taylor expansion of 1/2 in J 10.198 * [backup-simplify]: Simplify 1/2 into 1/2 10.198 * [taylor]: Taking taylor expansion of K in J 10.198 * [backup-simplify]: Simplify K into K 10.198 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.198 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.198 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.198 * [taylor]: Taking taylor expansion of J in J 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 1 into 1 10.198 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.198 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.199 * [backup-simplify]: Simplify (- 0) into 0 10.199 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.199 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.199 * [backup-simplify]: Simplify (+ 0) into 0 10.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.201 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.202 * [backup-simplify]: Simplify (- 0) into 0 10.202 * [backup-simplify]: Simplify (+ 0 0) into 0 10.202 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.203 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.203 * [taylor]: Taking taylor expansion of 1/2 in U 10.203 * [backup-simplify]: Simplify 1/2 into 1/2 10.203 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.203 * [taylor]: Taking taylor expansion of U in U 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 1 into 1 10.203 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.203 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.203 * [taylor]: Taking taylor expansion of 1/2 in U 10.203 * [backup-simplify]: Simplify 1/2 into 1/2 10.203 * [taylor]: Taking taylor expansion of K in U 10.203 * [backup-simplify]: Simplify K into K 10.203 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.203 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.203 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.203 * [taylor]: Taking taylor expansion of J in U 10.203 * [backup-simplify]: Simplify J into J 10.203 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.203 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.204 * [backup-simplify]: Simplify (- 0) into 0 10.204 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.204 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.204 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.204 * [taylor]: Taking taylor expansion of 1/2 in U 10.204 * [backup-simplify]: Simplify 1/2 into 1/2 10.204 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.204 * [taylor]: Taking taylor expansion of U in U 10.204 * [backup-simplify]: Simplify 0 into 0 10.204 * [backup-simplify]: Simplify 1 into 1 10.204 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.204 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.204 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.204 * [taylor]: Taking taylor expansion of 1/2 in U 10.204 * [backup-simplify]: Simplify 1/2 into 1/2 10.204 * [taylor]: Taking taylor expansion of K in U 10.204 * [backup-simplify]: Simplify K into K 10.204 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.205 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.205 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.205 * [taylor]: Taking taylor expansion of J in U 10.205 * [backup-simplify]: Simplify J into J 10.205 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.205 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.205 * [backup-simplify]: Simplify (- 0) into 0 10.205 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.205 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.205 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.206 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.206 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 10.206 * [taylor]: Taking taylor expansion of 1/2 in J 10.206 * [backup-simplify]: Simplify 1/2 into 1/2 10.206 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.206 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.206 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.206 * [taylor]: Taking taylor expansion of 1/2 in J 10.206 * [backup-simplify]: Simplify 1/2 into 1/2 10.206 * [taylor]: Taking taylor expansion of K in J 10.206 * [backup-simplify]: Simplify K into K 10.206 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.206 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.206 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.206 * [taylor]: Taking taylor expansion of J in J 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.206 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.207 * [backup-simplify]: Simplify (- 0) into 0 10.207 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.207 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.207 * [backup-simplify]: Simplify (+ 0) into 0 10.208 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.209 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.210 * [backup-simplify]: Simplify (- 0) into 0 10.210 * [backup-simplify]: Simplify (+ 0 0) into 0 10.211 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.211 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 10.211 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 10.211 * [taylor]: Taking taylor expansion of 1/2 in K 10.211 * [backup-simplify]: Simplify 1/2 into 1/2 10.211 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.211 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.211 * [taylor]: Taking taylor expansion of 1/2 in K 10.211 * [backup-simplify]: Simplify 1/2 into 1/2 10.211 * [taylor]: Taking taylor expansion of K in K 10.211 * [backup-simplify]: Simplify 0 into 0 10.211 * [backup-simplify]: Simplify 1 into 1 10.211 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.212 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.213 * [backup-simplify]: Simplify 1/2 into 1/2 10.213 * [backup-simplify]: Simplify (+ 0) into 0 10.213 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.215 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.215 * [backup-simplify]: Simplify (- 0) into 0 10.216 * [backup-simplify]: Simplify (+ 0 0) into 0 10.216 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.216 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.217 * [taylor]: Taking taylor expansion of 0 in J 10.217 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.218 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.220 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.221 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.221 * [backup-simplify]: Simplify (- 0) into 0 10.221 * [backup-simplify]: Simplify (+ 0 0) into 0 10.222 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.222 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.222 * [taylor]: Taking taylor expansion of 0 in K 10.222 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify (+ 0) into 0 10.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.225 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.227 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.231 * [backup-simplify]: Simplify (- 0) into 0 10.231 * [backup-simplify]: Simplify (+ 0 0) into 0 10.231 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 10.232 * [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 10.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 10.232 * [taylor]: Taking taylor expansion of 0 in J 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [taylor]: Taking taylor expansion of 0 in K 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.233 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.235 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.235 * [backup-simplify]: Simplify (- 0) into 0 10.236 * [backup-simplify]: Simplify (+ 0 0) into 0 10.236 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.236 * [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 10.236 * [taylor]: Taking taylor expansion of 0 in K 10.236 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 10.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 10.238 * [backup-simplify]: Simplify 1/16 into 1/16 10.238 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.239 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.241 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.241 * [backup-simplify]: Simplify (- 0) into 0 10.241 * [backup-simplify]: Simplify (+ 0 0) into 0 10.242 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 10.242 * [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 10.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 10.243 * [taylor]: Taking taylor expansion of 0 in J 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [taylor]: Taking taylor expansion of 0 in K 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [taylor]: Taking taylor expansion of 0 in K 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.245 * [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 10.245 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 10.247 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.248 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.248 * [backup-simplify]: Simplify (- 0) into 0 10.248 * [backup-simplify]: Simplify (+ 0 0) into 0 10.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.249 * [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 10.249 * [taylor]: Taking taylor expansion of 0 in K 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [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))) 10.250 * [backup-simplify]: Simplify (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.250 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 10.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.250 * [taylor]: Taking taylor expansion of 1/2 in K 10.250 * [backup-simplify]: Simplify 1/2 into 1/2 10.250 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.250 * [taylor]: Taking taylor expansion of J in K 10.250 * [backup-simplify]: Simplify J into J 10.250 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.250 * [taylor]: Taking taylor expansion of U in K 10.250 * [backup-simplify]: Simplify U into U 10.250 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.250 * [taylor]: Taking taylor expansion of 1/2 in K 10.250 * [backup-simplify]: Simplify 1/2 into 1/2 10.250 * [taylor]: Taking taylor expansion of K in K 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 1 into 1 10.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.250 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.250 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.250 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.250 * [taylor]: Taking taylor expansion of 1/2 in J 10.250 * [backup-simplify]: Simplify 1/2 into 1/2 10.250 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.250 * [taylor]: Taking taylor expansion of J in J 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 1 into 1 10.250 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.250 * [taylor]: Taking taylor expansion of U in J 10.250 * [backup-simplify]: Simplify U into U 10.250 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.250 * [taylor]: Taking taylor expansion of 1/2 in J 10.250 * [backup-simplify]: Simplify 1/2 into 1/2 10.250 * [taylor]: Taking taylor expansion of K in J 10.251 * [backup-simplify]: Simplify K into K 10.251 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.251 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.251 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.251 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.251 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.251 * [backup-simplify]: Simplify (- 0) into 0 10.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.251 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.251 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.251 * [taylor]: Taking taylor expansion of 1/2 in U 10.251 * [backup-simplify]: Simplify 1/2 into 1/2 10.251 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.251 * [taylor]: Taking taylor expansion of J in U 10.251 * [backup-simplify]: Simplify J into J 10.251 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.251 * [taylor]: Taking taylor expansion of U in U 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.251 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.251 * [taylor]: Taking taylor expansion of 1/2 in U 10.251 * [backup-simplify]: Simplify 1/2 into 1/2 10.251 * [taylor]: Taking taylor expansion of K in U 10.251 * [backup-simplify]: Simplify K into K 10.251 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.251 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.252 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.252 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.252 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.252 * [backup-simplify]: Simplify (- 0) into 0 10.252 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.252 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.252 * [backup-simplify]: Simplify (+ 0) into 0 10.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.253 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.254 * [backup-simplify]: Simplify (- 0) into 0 10.254 * [backup-simplify]: Simplify (+ 0 0) into 0 10.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.254 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.254 * [taylor]: Taking taylor expansion of 1/2 in U 10.254 * [backup-simplify]: Simplify 1/2 into 1/2 10.254 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.254 * [taylor]: Taking taylor expansion of J in U 10.254 * [backup-simplify]: Simplify J into J 10.254 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.254 * [taylor]: Taking taylor expansion of U in U 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.254 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.254 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.254 * [taylor]: Taking taylor expansion of 1/2 in U 10.254 * [backup-simplify]: Simplify 1/2 into 1/2 10.254 * [taylor]: Taking taylor expansion of K in U 10.254 * [backup-simplify]: Simplify K into K 10.254 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.254 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.255 * [backup-simplify]: Simplify (- 0) into 0 10.255 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.255 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.255 * [backup-simplify]: Simplify (+ 0) into 0 10.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.256 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.257 * [backup-simplify]: Simplify (- 0) into 0 10.257 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.257 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.257 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.257 * [taylor]: Taking taylor expansion of 1/2 in J 10.257 * [backup-simplify]: Simplify 1/2 into 1/2 10.257 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.257 * [taylor]: Taking taylor expansion of J in J 10.257 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify 1 into 1 10.257 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.257 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.257 * [taylor]: Taking taylor expansion of 1/2 in J 10.257 * [backup-simplify]: Simplify 1/2 into 1/2 10.257 * [taylor]: Taking taylor expansion of K in J 10.257 * [backup-simplify]: Simplify K into K 10.257 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.258 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.258 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.258 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.258 * [backup-simplify]: Simplify (- 0) into 0 10.258 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.258 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.258 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.258 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 10.258 * [taylor]: Taking taylor expansion of 1/2 in K 10.258 * [backup-simplify]: Simplify 1/2 into 1/2 10.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.258 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.258 * [taylor]: Taking taylor expansion of 1/2 in K 10.258 * [backup-simplify]: Simplify 1/2 into 1/2 10.258 * [taylor]: Taking taylor expansion of K in K 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 1 into 1 10.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.259 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.259 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.259 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.260 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.260 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.261 * [backup-simplify]: Simplify (- 0) into 0 10.261 * [backup-simplify]: Simplify (+ 0 0) into 0 10.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.262 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.262 * [taylor]: Taking taylor expansion of 0 in J 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [taylor]: Taking taylor expansion of 0 in K 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify (+ 0) into 0 10.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.263 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.265 * [backup-simplify]: Simplify (- 0) into 0 10.265 * [backup-simplify]: Simplify (+ 0 0) into 0 10.265 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 10.266 * [taylor]: Taking taylor expansion of 0 in K 10.266 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.266 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.268 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.271 * [backup-simplify]: Simplify (- 0) into 0 10.271 * [backup-simplify]: Simplify (+ 0 0) into 0 10.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.273 * [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 10.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.274 * [taylor]: Taking taylor expansion of 0 in J 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [taylor]: Taking taylor expansion of 0 in K 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [taylor]: Taking taylor expansion of 0 in K 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.275 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.276 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.277 * [backup-simplify]: Simplify (- 0) into 0 10.278 * [backup-simplify]: Simplify (+ 0 0) into 0 10.278 * [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 10.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 10.279 * [taylor]: Taking taylor expansion of 0 in K 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [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))) 10.279 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.279 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 10.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.279 * [taylor]: Taking taylor expansion of 1/2 in K 10.279 * [backup-simplify]: Simplify 1/2 into 1/2 10.279 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.279 * [taylor]: Taking taylor expansion of J in K 10.280 * [backup-simplify]: Simplify J into J 10.280 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.280 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.280 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.280 * [taylor]: Taking taylor expansion of -1/2 in K 10.280 * [backup-simplify]: Simplify -1/2 into -1/2 10.280 * [taylor]: Taking taylor expansion of K in K 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.280 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.280 * [taylor]: Taking taylor expansion of U in K 10.280 * [backup-simplify]: Simplify U into U 10.280 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.281 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.281 * [taylor]: Taking taylor expansion of 1/2 in J 10.281 * [backup-simplify]: Simplify 1/2 into 1/2 10.281 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.281 * [taylor]: Taking taylor expansion of J in J 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 1 into 1 10.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.281 * [taylor]: Taking taylor expansion of -1/2 in J 10.281 * [backup-simplify]: Simplify -1/2 into -1/2 10.281 * [taylor]: Taking taylor expansion of K in J 10.281 * [backup-simplify]: Simplify K into K 10.281 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.281 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.281 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.281 * [taylor]: Taking taylor expansion of U in J 10.281 * [backup-simplify]: Simplify U into U 10.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.281 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.282 * [backup-simplify]: Simplify (- 0) into 0 10.282 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.282 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.282 * [taylor]: Taking taylor expansion of 1/2 in U 10.282 * [backup-simplify]: Simplify 1/2 into 1/2 10.282 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.282 * [taylor]: Taking taylor expansion of J in U 10.282 * [backup-simplify]: Simplify J into J 10.282 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.282 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.282 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.282 * [taylor]: Taking taylor expansion of -1/2 in U 10.282 * [backup-simplify]: Simplify -1/2 into -1/2 10.282 * [taylor]: Taking taylor expansion of K in U 10.282 * [backup-simplify]: Simplify K into K 10.282 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.283 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.283 * [taylor]: Taking taylor expansion of U in U 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 1 into 1 10.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.283 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.283 * [backup-simplify]: Simplify (- 0) into 0 10.283 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.284 * [backup-simplify]: Simplify (+ 0) into 0 10.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.286 * [backup-simplify]: Simplify (- 0) into 0 10.286 * [backup-simplify]: Simplify (+ 0 0) into 0 10.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.287 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.287 * [taylor]: Taking taylor expansion of 1/2 in U 10.287 * [backup-simplify]: Simplify 1/2 into 1/2 10.287 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.287 * [taylor]: Taking taylor expansion of J in U 10.287 * [backup-simplify]: Simplify J into J 10.287 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.287 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.287 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.287 * [taylor]: Taking taylor expansion of -1/2 in U 10.287 * [backup-simplify]: Simplify -1/2 into -1/2 10.287 * [taylor]: Taking taylor expansion of K in U 10.287 * [backup-simplify]: Simplify K into K 10.287 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.287 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.287 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.287 * [taylor]: Taking taylor expansion of U in U 10.287 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify 1 into 1 10.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.288 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.288 * [backup-simplify]: Simplify (- 0) into 0 10.288 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.289 * [backup-simplify]: Simplify (+ 0) into 0 10.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.291 * [backup-simplify]: Simplify (- 0) into 0 10.291 * [backup-simplify]: Simplify (+ 0 0) into 0 10.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.292 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.292 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 10.292 * [taylor]: Taking taylor expansion of 1/2 in J 10.292 * [backup-simplify]: Simplify 1/2 into 1/2 10.292 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.292 * [taylor]: Taking taylor expansion of J in J 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 1 into 1 10.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.292 * [taylor]: Taking taylor expansion of -1/2 in J 10.292 * [backup-simplify]: Simplify -1/2 into -1/2 10.292 * [taylor]: Taking taylor expansion of K in J 10.292 * [backup-simplify]: Simplify K into K 10.292 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.292 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.292 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.292 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.293 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.293 * [backup-simplify]: Simplify (- 0) into 0 10.293 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.293 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 10.293 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 10.293 * [taylor]: Taking taylor expansion of 1/2 in K 10.293 * [backup-simplify]: Simplify 1/2 into 1/2 10.293 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.293 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.293 * [taylor]: Taking taylor expansion of -1/2 in K 10.293 * [backup-simplify]: Simplify -1/2 into -1/2 10.293 * [taylor]: Taking taylor expansion of K in K 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 1 into 1 10.294 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.294 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.294 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.294 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.296 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.298 * [backup-simplify]: Simplify (- 0) into 0 10.298 * [backup-simplify]: Simplify (+ 0 0) into 0 10.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.299 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.300 * [taylor]: Taking taylor expansion of 0 in J 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [taylor]: Taking taylor expansion of 0 in K 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify (+ 0) into 0 10.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.303 * [backup-simplify]: Simplify (- 0) into 0 10.303 * [backup-simplify]: Simplify (+ 0 0) into 0 10.303 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 10.304 * [taylor]: Taking taylor expansion of 0 in K 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.304 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.309 * [backup-simplify]: Simplify (- 0) into 0 10.309 * [backup-simplify]: Simplify (+ 0 0) into 0 10.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.310 * [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 10.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.311 * [taylor]: Taking taylor expansion of 0 in J 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [taylor]: Taking taylor expansion of 0 in K 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [taylor]: Taking taylor expansion of 0 in K 10.312 * [backup-simplify]: Simplify 0 into 0 10.312 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.315 * [backup-simplify]: Simplify (- 0) into 0 10.316 * [backup-simplify]: Simplify (+ 0 0) into 0 10.316 * [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 10.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 10.317 * [taylor]: Taking taylor expansion of 0 in K 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [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))) 10.317 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.317 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) into (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 10.317 * [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 10.317 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 10.318 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.318 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.318 * [taylor]: Taking taylor expansion of 1/2 in K 10.318 * [backup-simplify]: Simplify 1/2 into 1/2 10.318 * [taylor]: Taking taylor expansion of K in K 10.318 * [backup-simplify]: Simplify 0 into 0 10.318 * [backup-simplify]: Simplify 1 into 1 10.318 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.319 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.319 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.319 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.319 * [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 10.319 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.319 * [taylor]: Taking taylor expansion of 1 in K 10.319 * [backup-simplify]: Simplify 1 into 1 10.319 * [taylor]: Taking taylor expansion of 1 in K 10.319 * [backup-simplify]: Simplify 1 into 1 10.319 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.319 * [taylor]: Taking taylor expansion of 1/2 in K 10.319 * [backup-simplify]: Simplify 1/2 into 1/2 10.319 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.319 * [taylor]: Taking taylor expansion of U in K 10.319 * [backup-simplify]: Simplify U into U 10.319 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.319 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.320 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.320 * [taylor]: Taking taylor expansion of 1/2 in K 10.320 * [backup-simplify]: Simplify 1/2 into 1/2 10.320 * [taylor]: Taking taylor expansion of K in K 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 1 into 1 10.320 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.321 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.321 * [taylor]: Taking taylor expansion of J in K 10.321 * [backup-simplify]: Simplify J into J 10.321 * [backup-simplify]: Simplify (* 1 J) into J 10.321 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.321 * [taylor]: Taking taylor expansion of 1/2 in K 10.321 * [backup-simplify]: Simplify 1/2 into 1/2 10.321 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.321 * [taylor]: Taking taylor expansion of U in K 10.321 * [backup-simplify]: Simplify U into U 10.321 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.321 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.321 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.321 * [taylor]: Taking taylor expansion of 1/2 in K 10.321 * [backup-simplify]: Simplify 1/2 into 1/2 10.321 * [taylor]: Taking taylor expansion of K in K 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify 1 into 1 10.322 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.322 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.322 * [taylor]: Taking taylor expansion of J in K 10.323 * [backup-simplify]: Simplify J into J 10.323 * [backup-simplify]: Simplify (* 1 J) into J 10.323 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.323 * [backup-simplify]: Simplify (* 1 1) into 1 10.323 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.323 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.323 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.324 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.324 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.325 * [backup-simplify]: Simplify (+ 0) into 0 10.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.326 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.326 * [backup-simplify]: Simplify (+ 0) into 0 10.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.327 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.328 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 10.328 * [backup-simplify]: Simplify (+ 0 0) into 0 10.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 10.329 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 10.329 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.329 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.329 * [taylor]: Taking taylor expansion of 1/2 in J 10.329 * [backup-simplify]: Simplify 1/2 into 1/2 10.329 * [taylor]: Taking taylor expansion of K in J 10.329 * [backup-simplify]: Simplify K into K 10.329 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.329 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.329 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.329 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.329 * [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 10.329 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.329 * [taylor]: Taking taylor expansion of 1 in J 10.329 * [backup-simplify]: Simplify 1 into 1 10.329 * [taylor]: Taking taylor expansion of 1 in J 10.329 * [backup-simplify]: Simplify 1 into 1 10.329 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.329 * [taylor]: Taking taylor expansion of 1/2 in J 10.329 * [backup-simplify]: Simplify 1/2 into 1/2 10.329 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.329 * [taylor]: Taking taylor expansion of U in J 10.329 * [backup-simplify]: Simplify U into U 10.329 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.329 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.329 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.329 * [taylor]: Taking taylor expansion of 1/2 in J 10.329 * [backup-simplify]: Simplify 1/2 into 1/2 10.329 * [taylor]: Taking taylor expansion of K in J 10.330 * [backup-simplify]: Simplify K into K 10.330 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.330 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.330 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.330 * [taylor]: Taking taylor expansion of J in J 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.330 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.330 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.330 * [backup-simplify]: Simplify (- 0) into 0 10.330 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.331 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.331 * [backup-simplify]: Simplify (+ 0) into 0 10.331 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.333 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.333 * [backup-simplify]: Simplify (- 0) into 0 10.334 * [backup-simplify]: Simplify (+ 0 0) into 0 10.334 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.334 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.334 * [taylor]: Taking taylor expansion of 1/2 in J 10.334 * [backup-simplify]: Simplify 1/2 into 1/2 10.334 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.334 * [taylor]: Taking taylor expansion of U in J 10.334 * [backup-simplify]: Simplify U into U 10.334 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.334 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.335 * [taylor]: Taking taylor expansion of 1/2 in J 10.335 * [backup-simplify]: Simplify 1/2 into 1/2 10.335 * [taylor]: Taking taylor expansion of K in J 10.335 * [backup-simplify]: Simplify K into K 10.335 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.335 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.335 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.335 * [taylor]: Taking taylor expansion of J in J 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 1 into 1 10.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.335 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.335 * [backup-simplify]: Simplify (- 0) into 0 10.335 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.336 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.336 * [backup-simplify]: Simplify (+ 0) into 0 10.336 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.338 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.338 * [backup-simplify]: Simplify (- 0) into 0 10.339 * [backup-simplify]: Simplify (+ 0 0) into 0 10.339 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.339 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.339 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.340 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.340 * [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))) 10.340 * [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))) 10.340 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.342 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.344 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.345 * [backup-simplify]: Simplify (- 0) into 0 10.345 * [backup-simplify]: Simplify (+ 0 0) into 0 10.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.346 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.348 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.350 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.350 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.351 * [backup-simplify]: Simplify (- 0) into 0 10.351 * [backup-simplify]: Simplify (+ 0 0) into 0 10.351 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.351 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.352 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 10.352 * [backup-simplify]: Simplify (+ 0 0) into 0 10.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 10.352 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.352 * [taylor]: Taking taylor expansion of 1/2 in U 10.352 * [backup-simplify]: Simplify 1/2 into 1/2 10.352 * [taylor]: Taking taylor expansion of K in U 10.352 * [backup-simplify]: Simplify K into K 10.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.352 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.352 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.353 * [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 10.353 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.353 * [taylor]: Taking taylor expansion of 1 in U 10.353 * [backup-simplify]: Simplify 1 into 1 10.353 * [taylor]: Taking taylor expansion of 1 in U 10.353 * [backup-simplify]: Simplify 1 into 1 10.353 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.353 * [taylor]: Taking taylor expansion of 1/2 in U 10.353 * [backup-simplify]: Simplify 1/2 into 1/2 10.353 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.353 * [taylor]: Taking taylor expansion of U in U 10.353 * [backup-simplify]: Simplify 0 into 0 10.353 * [backup-simplify]: Simplify 1 into 1 10.353 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.353 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.353 * [taylor]: Taking taylor expansion of 1/2 in U 10.353 * [backup-simplify]: Simplify 1/2 into 1/2 10.353 * [taylor]: Taking taylor expansion of K in U 10.353 * [backup-simplify]: Simplify K into K 10.353 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.353 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.353 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.353 * [taylor]: Taking taylor expansion of J in U 10.353 * [backup-simplify]: Simplify J into J 10.353 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.353 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.358 * [backup-simplify]: Simplify (- 0) into 0 10.358 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.358 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.358 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.359 * [taylor]: Taking taylor expansion of 1/2 in U 10.359 * [backup-simplify]: Simplify 1/2 into 1/2 10.359 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.359 * [taylor]: Taking taylor expansion of U in U 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify 1 into 1 10.359 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.359 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.359 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.359 * [taylor]: Taking taylor expansion of 1/2 in U 10.359 * [backup-simplify]: Simplify 1/2 into 1/2 10.359 * [taylor]: Taking taylor expansion of K in U 10.359 * [backup-simplify]: Simplify K into K 10.359 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.359 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.359 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.359 * [taylor]: Taking taylor expansion of J in U 10.359 * [backup-simplify]: Simplify J into J 10.359 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.359 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.360 * [backup-simplify]: Simplify (- 0) into 0 10.360 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.360 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.360 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.361 * [backup-simplify]: Simplify (* 1 1) into 1 10.361 * [backup-simplify]: Simplify (+ 1 0) into 1 10.362 * [backup-simplify]: Simplify (sqrt 1) into 1 10.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.363 * [backup-simplify]: Simplify (+ 0 0) into 0 10.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.363 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.363 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.363 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.364 * [taylor]: Taking taylor expansion of 1/2 in U 10.364 * [backup-simplify]: Simplify 1/2 into 1/2 10.364 * [taylor]: Taking taylor expansion of K in U 10.364 * [backup-simplify]: Simplify K into K 10.364 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.364 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.364 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.364 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.364 * [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 10.364 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.364 * [taylor]: Taking taylor expansion of 1 in U 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [taylor]: Taking taylor expansion of 1 in U 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.364 * [taylor]: Taking taylor expansion of 1/2 in U 10.364 * [backup-simplify]: Simplify 1/2 into 1/2 10.364 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.364 * [taylor]: Taking taylor expansion of U in U 10.364 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.364 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.364 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.364 * [taylor]: Taking taylor expansion of 1/2 in U 10.364 * [backup-simplify]: Simplify 1/2 into 1/2 10.365 * [taylor]: Taking taylor expansion of K in U 10.365 * [backup-simplify]: Simplify K into K 10.365 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.365 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.365 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.365 * [taylor]: Taking taylor expansion of J in U 10.365 * [backup-simplify]: Simplify J into J 10.365 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.365 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.365 * [backup-simplify]: Simplify (- 0) into 0 10.365 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.366 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.366 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.366 * [taylor]: Taking taylor expansion of 1/2 in U 10.366 * [backup-simplify]: Simplify 1/2 into 1/2 10.366 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.366 * [taylor]: Taking taylor expansion of U in U 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 1 into 1 10.366 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.366 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.366 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.366 * [taylor]: Taking taylor expansion of 1/2 in U 10.366 * [backup-simplify]: Simplify 1/2 into 1/2 10.366 * [taylor]: Taking taylor expansion of K in U 10.366 * [backup-simplify]: Simplify K into K 10.366 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.366 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.366 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.366 * [taylor]: Taking taylor expansion of J in U 10.366 * [backup-simplify]: Simplify J into J 10.366 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.366 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.367 * [backup-simplify]: Simplify (- 0) into 0 10.367 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.367 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.367 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.368 * [backup-simplify]: Simplify (* 1 1) into 1 10.368 * [backup-simplify]: Simplify (+ 1 0) into 1 10.368 * [backup-simplify]: Simplify (sqrt 1) into 1 10.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.369 * [backup-simplify]: Simplify (+ 0 0) into 0 10.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.370 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.371 * [backup-simplify]: Simplify (- 0) into 0 10.371 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.371 * [taylor]: Taking taylor expansion of 1/2 in J 10.371 * [backup-simplify]: Simplify 1/2 into 1/2 10.371 * [taylor]: Taking taylor expansion of K in J 10.371 * [backup-simplify]: Simplify K into K 10.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.372 * [backup-simplify]: Simplify (+ 0) into 0 10.373 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.374 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.375 * [backup-simplify]: Simplify (- 0) into 0 10.375 * [backup-simplify]: Simplify (+ 0 0) into 0 10.376 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.376 * [taylor]: Taking taylor expansion of 0 in J 10.376 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.376 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.376 * [backup-simplify]: Simplify (- 0) into 0 10.376 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.376 * [taylor]: Taking taylor expansion of 1/2 in K 10.376 * [backup-simplify]: Simplify 1/2 into 1/2 10.376 * [taylor]: Taking taylor expansion of K in K 10.377 * [backup-simplify]: Simplify 0 into 0 10.377 * [backup-simplify]: Simplify 1 into 1 10.377 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.378 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.378 * [backup-simplify]: Simplify 1 into 1 10.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.379 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.379 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.379 * [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))) 10.379 * [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)))) 10.381 * [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))) 10.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.382 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.383 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.384 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.384 * [backup-simplify]: Simplify (- 0) into 0 10.384 * [backup-simplify]: Simplify (+ 0 0) into 0 10.385 * [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)))) 10.385 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 10.385 * [taylor]: Taking taylor expansion of 1/8 in J 10.385 * [backup-simplify]: Simplify 1/8 into 1/8 10.385 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 10.385 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 10.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.385 * [taylor]: Taking taylor expansion of 1/2 in J 10.385 * [backup-simplify]: Simplify 1/2 into 1/2 10.385 * [taylor]: Taking taylor expansion of K in J 10.385 * [backup-simplify]: Simplify K into K 10.385 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.385 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.385 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.385 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.385 * [taylor]: Taking taylor expansion of J in J 10.385 * [backup-simplify]: Simplify 0 into 0 10.385 * [backup-simplify]: Simplify 1 into 1 10.385 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.385 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.386 * [backup-simplify]: Simplify (- 0) into 0 10.386 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.386 * [backup-simplify]: Simplify (* 1 1) into 1 10.386 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.386 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 10.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.387 * [backup-simplify]: Simplify (+ 0) into 0 10.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.388 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.388 * [backup-simplify]: Simplify (- 0) into 0 10.388 * [backup-simplify]: Simplify (+ 0 0) into 0 10.389 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.389 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 10.389 * [taylor]: Taking taylor expansion of 0 in K 10.389 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify 0 into 0 10.389 * [taylor]: Taking taylor expansion of 0 in K 10.389 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify (+ 0) into 0 10.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.391 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.391 * [backup-simplify]: Simplify (- 0) into 0 10.391 * [backup-simplify]: Simplify (+ 0 0) into 0 10.391 * [taylor]: Taking taylor expansion of 0 in K 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify (+ 0) into 0 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.392 * [backup-simplify]: Simplify (+ 0) into 0 10.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.394 * [backup-simplify]: Simplify (- 0) into 0 10.394 * [backup-simplify]: Simplify (+ 0 0) into 0 10.394 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.395 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.395 * [backup-simplify]: Simplify (+ 0) into 0 10.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.396 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.397 * [backup-simplify]: Simplify (- 0) into 0 10.397 * [backup-simplify]: Simplify (+ 0 0) into 0 10.397 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.397 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.398 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 10.398 * [backup-simplify]: Simplify (+ 0 0) into 0 10.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 10.399 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.399 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.401 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.401 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.401 * [backup-simplify]: Simplify (- 0) into 0 10.402 * [backup-simplify]: Simplify (+ 0 0) into 0 10.402 * [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 10.402 * [taylor]: Taking taylor expansion of 0 in J 10.402 * [backup-simplify]: Simplify 0 into 0 10.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.404 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.405 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.405 * [backup-simplify]: Simplify (- 0) into 0 10.406 * [backup-simplify]: Simplify (+ 0 0) into 0 10.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.407 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 10.407 * [taylor]: Taking taylor expansion of 0 in K 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [taylor]: Taking taylor expansion of 0 in K 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify 1 into 1 10.408 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2)))) (cos (/ (/ 1 K) 2))) into (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) 10.408 * [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 10.408 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 10.408 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.408 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.408 * [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 10.408 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.408 * [taylor]: Taking taylor expansion of 1 in K 10.408 * [backup-simplify]: Simplify 1 into 1 10.408 * [taylor]: Taking taylor expansion of 1 in K 10.408 * [backup-simplify]: Simplify 1 into 1 10.408 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.408 * [taylor]: Taking taylor expansion of 1/2 in K 10.408 * [backup-simplify]: Simplify 1/2 into 1/2 10.408 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.408 * [taylor]: Taking taylor expansion of J in K 10.408 * [backup-simplify]: Simplify J into J 10.408 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.408 * [taylor]: Taking taylor expansion of U in K 10.408 * [backup-simplify]: Simplify U into U 10.408 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.408 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.408 * [taylor]: Taking taylor expansion of 1/2 in K 10.408 * [backup-simplify]: Simplify 1/2 into 1/2 10.408 * [taylor]: Taking taylor expansion of K in K 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [backup-simplify]: Simplify 1 into 1 10.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.409 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.409 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.409 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.409 * [taylor]: Taking taylor expansion of 1/2 in K 10.409 * [backup-simplify]: Simplify 1/2 into 1/2 10.409 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.409 * [taylor]: Taking taylor expansion of J in K 10.409 * [backup-simplify]: Simplify J into J 10.409 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.409 * [taylor]: Taking taylor expansion of U in K 10.409 * [backup-simplify]: Simplify U into U 10.409 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.409 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.410 * [taylor]: Taking taylor expansion of 1/2 in K 10.410 * [backup-simplify]: Simplify 1/2 into 1/2 10.410 * [taylor]: Taking taylor expansion of K in K 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify 1 into 1 10.410 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.410 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.410 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.410 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.411 * [backup-simplify]: Simplify (* 1 1) into 1 10.411 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.411 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.411 * [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)))) 10.412 * [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) 10.412 * [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)) 10.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.413 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.413 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.414 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.414 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.415 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 10.416 * [backup-simplify]: Simplify (+ 0 0) into 0 10.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 10.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.416 * [taylor]: Taking taylor expansion of 1/2 in K 10.417 * [backup-simplify]: Simplify 1/2 into 1/2 10.417 * [taylor]: Taking taylor expansion of K in K 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.417 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.417 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 10.417 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.417 * [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 10.417 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.417 * [taylor]: Taking taylor expansion of 1 in J 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [taylor]: Taking taylor expansion of 1 in J 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.417 * [taylor]: Taking taylor expansion of 1/2 in J 10.418 * [backup-simplify]: Simplify 1/2 into 1/2 10.418 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.418 * [taylor]: Taking taylor expansion of J in J 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 1 into 1 10.418 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.418 * [taylor]: Taking taylor expansion of U in J 10.418 * [backup-simplify]: Simplify U into U 10.418 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.418 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.418 * [taylor]: Taking taylor expansion of 1/2 in J 10.418 * [backup-simplify]: Simplify 1/2 into 1/2 10.418 * [taylor]: Taking taylor expansion of K in J 10.418 * [backup-simplify]: Simplify K into K 10.418 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.418 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.418 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.418 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.418 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.419 * [backup-simplify]: Simplify (- 0) into 0 10.419 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.419 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.419 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.419 * [taylor]: Taking taylor expansion of 1/2 in J 10.419 * [backup-simplify]: Simplify 1/2 into 1/2 10.419 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.419 * [taylor]: Taking taylor expansion of J in J 10.419 * [backup-simplify]: Simplify 0 into 0 10.419 * [backup-simplify]: Simplify 1 into 1 10.419 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.419 * [taylor]: Taking taylor expansion of U in J 10.419 * [backup-simplify]: Simplify U into U 10.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.419 * [taylor]: Taking taylor expansion of 1/2 in J 10.419 * [backup-simplify]: Simplify 1/2 into 1/2 10.419 * [taylor]: Taking taylor expansion of K in J 10.419 * [backup-simplify]: Simplify K into K 10.419 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.419 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.420 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.420 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.420 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.420 * [backup-simplify]: Simplify (- 0) into 0 10.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.420 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.420 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.421 * [backup-simplify]: Simplify (* 1 1) into 1 10.421 * [backup-simplify]: Simplify (+ 1 0) into 1 10.422 * [backup-simplify]: Simplify (sqrt 1) into 1 10.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.423 * [backup-simplify]: Simplify (+ 0 0) into 0 10.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.423 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.423 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.423 * [taylor]: Taking taylor expansion of 1/2 in J 10.423 * [backup-simplify]: Simplify 1/2 into 1/2 10.423 * [taylor]: Taking taylor expansion of K in J 10.423 * [backup-simplify]: Simplify K into K 10.423 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.424 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.424 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.424 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.424 * [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 10.424 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.424 * [taylor]: Taking taylor expansion of 1 in U 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [taylor]: Taking taylor expansion of 1 in U 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.424 * [taylor]: Taking taylor expansion of 1/2 in U 10.424 * [backup-simplify]: Simplify 1/2 into 1/2 10.424 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.424 * [taylor]: Taking taylor expansion of J in U 10.424 * [backup-simplify]: Simplify J into J 10.424 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.424 * [taylor]: Taking taylor expansion of U in U 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.424 * [taylor]: Taking taylor expansion of 1/2 in U 10.424 * [backup-simplify]: Simplify 1/2 into 1/2 10.424 * [taylor]: Taking taylor expansion of K in U 10.424 * [backup-simplify]: Simplify K into K 10.424 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.425 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.425 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.425 * [backup-simplify]: Simplify (- 0) into 0 10.425 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.425 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.426 * [backup-simplify]: Simplify (+ 0) into 0 10.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.428 * [backup-simplify]: Simplify (- 0) into 0 10.428 * [backup-simplify]: Simplify (+ 0 0) into 0 10.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.429 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.429 * [taylor]: Taking taylor expansion of 1/2 in U 10.429 * [backup-simplify]: Simplify 1/2 into 1/2 10.429 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.429 * [taylor]: Taking taylor expansion of J in U 10.429 * [backup-simplify]: Simplify J into J 10.429 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.429 * [taylor]: Taking taylor expansion of U in U 10.429 * [backup-simplify]: Simplify 0 into 0 10.429 * [backup-simplify]: Simplify 1 into 1 10.429 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.429 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.429 * [taylor]: Taking taylor expansion of 1/2 in U 10.429 * [backup-simplify]: Simplify 1/2 into 1/2 10.429 * [taylor]: Taking taylor expansion of K in U 10.429 * [backup-simplify]: Simplify K into K 10.429 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.429 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.430 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.430 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.430 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.430 * [backup-simplify]: Simplify (- 0) into 0 10.430 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.430 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.431 * [backup-simplify]: Simplify (+ 0) into 0 10.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.431 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.432 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.433 * [backup-simplify]: Simplify (- 0) into 0 10.433 * [backup-simplify]: Simplify (+ 0 0) into 0 10.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.434 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.434 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.434 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.434 * [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))) 10.435 * [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))) 10.435 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.438 * [backup-simplify]: Simplify (- 0) into 0 10.439 * [backup-simplify]: Simplify (+ 0 0) into 0 10.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.440 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.442 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.443 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.444 * [backup-simplify]: Simplify (- 0) into 0 10.444 * [backup-simplify]: Simplify (+ 0 0) into 0 10.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.445 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.446 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.447 * [backup-simplify]: Simplify (+ 0 0) into 0 10.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.447 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.447 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.447 * [taylor]: Taking taylor expansion of 1/2 in U 10.447 * [backup-simplify]: Simplify 1/2 into 1/2 10.447 * [taylor]: Taking taylor expansion of K in U 10.447 * [backup-simplify]: Simplify K into K 10.447 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.447 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.447 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.447 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.447 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.447 * [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 10.447 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.447 * [taylor]: Taking taylor expansion of 1 in U 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [taylor]: Taking taylor expansion of 1 in U 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.448 * [taylor]: Taking taylor expansion of 1/2 in U 10.448 * [backup-simplify]: Simplify 1/2 into 1/2 10.448 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.448 * [taylor]: Taking taylor expansion of J in U 10.448 * [backup-simplify]: Simplify J into J 10.448 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.448 * [taylor]: Taking taylor expansion of U in U 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify 1 into 1 10.448 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.448 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.448 * [taylor]: Taking taylor expansion of 1/2 in U 10.448 * [backup-simplify]: Simplify 1/2 into 1/2 10.448 * [taylor]: Taking taylor expansion of K in U 10.448 * [backup-simplify]: Simplify K into K 10.448 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.448 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.448 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.448 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.449 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.449 * [backup-simplify]: Simplify (- 0) into 0 10.449 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.449 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.450 * [backup-simplify]: Simplify (+ 0) into 0 10.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.452 * [backup-simplify]: Simplify (- 0) into 0 10.452 * [backup-simplify]: Simplify (+ 0 0) into 0 10.453 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.453 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.453 * [taylor]: Taking taylor expansion of 1/2 in U 10.453 * [backup-simplify]: Simplify 1/2 into 1/2 10.453 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.453 * [taylor]: Taking taylor expansion of J in U 10.453 * [backup-simplify]: Simplify J into J 10.453 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.453 * [taylor]: Taking taylor expansion of U in U 10.453 * [backup-simplify]: Simplify 0 into 0 10.453 * [backup-simplify]: Simplify 1 into 1 10.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.453 * [taylor]: Taking taylor expansion of 1/2 in U 10.453 * [backup-simplify]: Simplify 1/2 into 1/2 10.453 * [taylor]: Taking taylor expansion of K in U 10.453 * [backup-simplify]: Simplify K into K 10.453 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.454 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.454 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.454 * [backup-simplify]: Simplify (- 0) into 0 10.454 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.454 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.455 * [backup-simplify]: Simplify (+ 0) into 0 10.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.457 * [backup-simplify]: Simplify (- 0) into 0 10.457 * [backup-simplify]: Simplify (+ 0 0) into 0 10.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.458 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.458 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.458 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.458 * [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))) 10.459 * [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))) 10.459 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.460 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.461 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.462 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.462 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.462 * [backup-simplify]: Simplify (- 0) into 0 10.463 * [backup-simplify]: Simplify (+ 0 0) into 0 10.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.464 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.466 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.467 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.468 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.468 * [backup-simplify]: Simplify (- 0) into 0 10.468 * [backup-simplify]: Simplify (+ 0 0) into 0 10.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.469 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.470 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.471 * [backup-simplify]: Simplify (+ 0 0) into 0 10.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.471 * [taylor]: Taking taylor expansion of 1/2 in U 10.471 * [backup-simplify]: Simplify 1/2 into 1/2 10.471 * [taylor]: Taking taylor expansion of K in U 10.471 * [backup-simplify]: Simplify K into K 10.471 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.471 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.471 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.472 * [backup-simplify]: Simplify (- 0) into 0 10.472 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.472 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 10.472 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 10.472 * [taylor]: Taking taylor expansion of 1/2 in J 10.472 * [backup-simplify]: Simplify 1/2 into 1/2 10.472 * [taylor]: Taking taylor expansion of J in J 10.472 * [backup-simplify]: Simplify 0 into 0 10.472 * [backup-simplify]: Simplify 1 into 1 10.473 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.473 * [taylor]: Taking taylor expansion of 0 in K 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify (+ 0) into 0 10.474 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.475 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.476 * [backup-simplify]: Simplify (- 0) into 0 10.476 * [backup-simplify]: Simplify (+ 0 0) into 0 10.476 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.476 * [taylor]: Taking taylor expansion of 0 in J 10.476 * [backup-simplify]: Simplify 0 into 0 10.476 * [taylor]: Taking taylor expansion of 0 in K 10.476 * [backup-simplify]: Simplify 0 into 0 10.476 * [backup-simplify]: Simplify 0 into 0 10.477 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.477 * [taylor]: Taking taylor expansion of 1/2 in K 10.477 * [backup-simplify]: Simplify 1/2 into 1/2 10.477 * [backup-simplify]: Simplify 1/2 into 1/2 10.477 * [backup-simplify]: Simplify 0 into 0 10.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.479 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.480 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.480 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.480 * [backup-simplify]: Simplify (- 0) into 0 10.481 * [backup-simplify]: Simplify (+ 0 0) into 0 10.481 * [backup-simplify]: Simplify (* 1 1) into 1 10.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.486 * [backup-simplify]: Simplify (- 0) into 0 10.486 * [backup-simplify]: Simplify (+ 0 0) into 0 10.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.488 * [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 10.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.494 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.498 * [backup-simplify]: Simplify (- 0) into 0 10.498 * [backup-simplify]: Simplify (+ 0 0) into 0 10.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.500 * [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 10.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.501 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 10.502 * [backup-simplify]: Simplify (+ 1 0) into 1 10.503 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 10.503 * [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) 10.503 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 10.503 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.503 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.503 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.504 * [taylor]: Taking taylor expansion of 1/2 in J 10.504 * [backup-simplify]: Simplify 1/2 into 1/2 10.504 * [taylor]: Taking taylor expansion of K in J 10.504 * [backup-simplify]: Simplify K into K 10.504 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.504 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.504 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.504 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.504 * [backup-simplify]: Simplify (- 0) into 0 10.504 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.504 * [taylor]: Taking taylor expansion of J in J 10.504 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify 1 into 1 10.505 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.505 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 10.505 * [backup-simplify]: Simplify (+ 0) into 0 10.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.507 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.507 * [backup-simplify]: Simplify (- 0) into 0 10.508 * [backup-simplify]: Simplify (+ 0 0) into 0 10.508 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 10.509 * [taylor]: Taking taylor expansion of 0 in K 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [taylor]: Taking taylor expansion of 0 in K 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.510 * [taylor]: Taking taylor expansion of 0 in K 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U J)) 10.511 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2)))) (cos (/ (/ 1 (- K)) 2))) into (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 10.511 * [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 10.511 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.511 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.511 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.511 * [taylor]: Taking taylor expansion of -1/2 in K 10.511 * [backup-simplify]: Simplify -1/2 into -1/2 10.511 * [taylor]: Taking taylor expansion of K in K 10.511 * [backup-simplify]: Simplify 0 into 0 10.511 * [backup-simplify]: Simplify 1 into 1 10.511 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.512 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.512 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.512 * [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 10.512 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.512 * [taylor]: Taking taylor expansion of 1 in K 10.512 * [backup-simplify]: Simplify 1 into 1 10.512 * [taylor]: Taking taylor expansion of 1 in K 10.512 * [backup-simplify]: Simplify 1 into 1 10.512 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.512 * [taylor]: Taking taylor expansion of 1/2 in K 10.512 * [backup-simplify]: Simplify 1/2 into 1/2 10.512 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.512 * [taylor]: Taking taylor expansion of J in K 10.512 * [backup-simplify]: Simplify J into J 10.512 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.512 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.512 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.512 * [taylor]: Taking taylor expansion of -1/2 in K 10.512 * [backup-simplify]: Simplify -1/2 into -1/2 10.512 * [taylor]: Taking taylor expansion of K in K 10.512 * [backup-simplify]: Simplify 0 into 0 10.512 * [backup-simplify]: Simplify 1 into 1 10.513 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.513 * [taylor]: Taking taylor expansion of U in K 10.513 * [backup-simplify]: Simplify U into U 10.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.513 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.513 * [taylor]: Taking taylor expansion of 1/2 in K 10.513 * [backup-simplify]: Simplify 1/2 into 1/2 10.513 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.513 * [taylor]: Taking taylor expansion of J in K 10.513 * [backup-simplify]: Simplify J into J 10.513 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.513 * [taylor]: Taking taylor expansion of -1/2 in K 10.513 * [backup-simplify]: Simplify -1/2 into -1/2 10.513 * [taylor]: Taking taylor expansion of K in K 10.513 * [backup-simplify]: Simplify 0 into 0 10.513 * [backup-simplify]: Simplify 1 into 1 10.514 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.514 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.514 * [taylor]: Taking taylor expansion of U in K 10.514 * [backup-simplify]: Simplify U into U 10.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.514 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.515 * [backup-simplify]: Simplify (* 1 1) into 1 10.515 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.515 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.515 * [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)))) 10.515 * [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))))) 10.516 * [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)))))) 10.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.517 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.518 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.519 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 10.520 * [backup-simplify]: Simplify (+ 0 0) into 0 10.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 10.520 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.520 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.520 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.520 * [taylor]: Taking taylor expansion of -1/2 in J 10.520 * [backup-simplify]: Simplify -1/2 into -1/2 10.520 * [taylor]: Taking taylor expansion of K in J 10.520 * [backup-simplify]: Simplify K into K 10.520 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.520 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.520 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.520 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.520 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.521 * [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 10.521 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.521 * [taylor]: Taking taylor expansion of 1 in J 10.521 * [backup-simplify]: Simplify 1 into 1 10.521 * [taylor]: Taking taylor expansion of 1 in J 10.521 * [backup-simplify]: Simplify 1 into 1 10.521 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.521 * [taylor]: Taking taylor expansion of 1/2 in J 10.521 * [backup-simplify]: Simplify 1/2 into 1/2 10.521 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.521 * [taylor]: Taking taylor expansion of J in J 10.521 * [backup-simplify]: Simplify 0 into 0 10.521 * [backup-simplify]: Simplify 1 into 1 10.521 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.521 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.521 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.521 * [taylor]: Taking taylor expansion of -1/2 in J 10.521 * [backup-simplify]: Simplify -1/2 into -1/2 10.521 * [taylor]: Taking taylor expansion of K in J 10.521 * [backup-simplify]: Simplify K into K 10.521 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.521 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.521 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.521 * [taylor]: Taking taylor expansion of U in J 10.521 * [backup-simplify]: Simplify U into U 10.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.521 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.522 * [backup-simplify]: Simplify (- 0) into 0 10.522 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.522 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.522 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.522 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.522 * [taylor]: Taking taylor expansion of 1/2 in J 10.522 * [backup-simplify]: Simplify 1/2 into 1/2 10.522 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.522 * [taylor]: Taking taylor expansion of J in J 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify 1 into 1 10.522 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.522 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.522 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.522 * [taylor]: Taking taylor expansion of -1/2 in J 10.522 * [backup-simplify]: Simplify -1/2 into -1/2 10.523 * [taylor]: Taking taylor expansion of K in J 10.523 * [backup-simplify]: Simplify K into K 10.523 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.523 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.523 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.523 * [taylor]: Taking taylor expansion of U in J 10.523 * [backup-simplify]: Simplify U into U 10.523 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.523 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.523 * [backup-simplify]: Simplify (- 0) into 0 10.523 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.524 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.524 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.524 * [backup-simplify]: Simplify (* 1 1) into 1 10.524 * [backup-simplify]: Simplify (+ 1 0) into 1 10.525 * [backup-simplify]: Simplify (sqrt 1) into 1 10.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.526 * [backup-simplify]: Simplify (+ 0 0) into 0 10.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.526 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.527 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.527 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.527 * [taylor]: Taking taylor expansion of -1/2 in U 10.527 * [backup-simplify]: Simplify -1/2 into -1/2 10.527 * [taylor]: Taking taylor expansion of K in U 10.527 * [backup-simplify]: Simplify K into K 10.527 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.527 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.527 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.527 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.527 * [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 10.527 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.527 * [taylor]: Taking taylor expansion of 1 in U 10.527 * [backup-simplify]: Simplify 1 into 1 10.527 * [taylor]: Taking taylor expansion of 1 in U 10.527 * [backup-simplify]: Simplify 1 into 1 10.527 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.527 * [taylor]: Taking taylor expansion of 1/2 in U 10.527 * [backup-simplify]: Simplify 1/2 into 1/2 10.527 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.527 * [taylor]: Taking taylor expansion of J in U 10.527 * [backup-simplify]: Simplify J into J 10.527 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.527 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.527 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.527 * [taylor]: Taking taylor expansion of -1/2 in U 10.527 * [backup-simplify]: Simplify -1/2 into -1/2 10.527 * [taylor]: Taking taylor expansion of K in U 10.528 * [backup-simplify]: Simplify K into K 10.528 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.528 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.528 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.528 * [taylor]: Taking taylor expansion of U in U 10.528 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify 1 into 1 10.528 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.528 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.528 * [backup-simplify]: Simplify (- 0) into 0 10.528 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.529 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.529 * [backup-simplify]: Simplify (+ 0) into 0 10.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.531 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.531 * [backup-simplify]: Simplify (- 0) into 0 10.531 * [backup-simplify]: Simplify (+ 0 0) into 0 10.532 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.532 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.532 * [taylor]: Taking taylor expansion of 1/2 in U 10.532 * [backup-simplify]: Simplify 1/2 into 1/2 10.532 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.532 * [taylor]: Taking taylor expansion of J in U 10.532 * [backup-simplify]: Simplify J into J 10.532 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.532 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.532 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.532 * [taylor]: Taking taylor expansion of -1/2 in U 10.532 * [backup-simplify]: Simplify -1/2 into -1/2 10.532 * [taylor]: Taking taylor expansion of K in U 10.532 * [backup-simplify]: Simplify K into K 10.532 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.533 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.533 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.533 * [taylor]: Taking taylor expansion of U in U 10.533 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify 1 into 1 10.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.533 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.533 * [backup-simplify]: Simplify (- 0) into 0 10.533 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.534 * [backup-simplify]: Simplify (+ 0) into 0 10.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.534 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.536 * [backup-simplify]: Simplify (- 0) into 0 10.536 * [backup-simplify]: Simplify (+ 0 0) into 0 10.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.537 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.537 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.537 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.537 * [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))) 10.538 * [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))) 10.538 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.540 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.541 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.541 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.541 * [backup-simplify]: Simplify (- 0) into 0 10.542 * [backup-simplify]: Simplify (+ 0 0) into 0 10.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.543 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.547 * [backup-simplify]: Simplify (- 0) into 0 10.547 * [backup-simplify]: Simplify (+ 0 0) into 0 10.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.548 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.548 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.548 * [backup-simplify]: Simplify (+ 0 0) into 0 10.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.548 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.549 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.549 * [taylor]: Taking taylor expansion of -1/2 in U 10.549 * [backup-simplify]: Simplify -1/2 into -1/2 10.549 * [taylor]: Taking taylor expansion of K in U 10.549 * [backup-simplify]: Simplify K into K 10.549 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.549 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.549 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.549 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.549 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.549 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.549 * [taylor]: Taking taylor expansion of 1 in U 10.549 * [backup-simplify]: Simplify 1 into 1 10.549 * [taylor]: Taking taylor expansion of 1 in U 10.549 * [backup-simplify]: Simplify 1 into 1 10.549 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.549 * [taylor]: Taking taylor expansion of 1/2 in U 10.549 * [backup-simplify]: Simplify 1/2 into 1/2 10.549 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.549 * [taylor]: Taking taylor expansion of J in U 10.549 * [backup-simplify]: Simplify J into J 10.549 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.549 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.549 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.549 * [taylor]: Taking taylor expansion of -1/2 in U 10.549 * [backup-simplify]: Simplify -1/2 into -1/2 10.549 * [taylor]: Taking taylor expansion of K in U 10.549 * [backup-simplify]: Simplify K into K 10.549 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.549 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.549 * [taylor]: Taking taylor expansion of U in U 10.549 * [backup-simplify]: Simplify 0 into 0 10.549 * [backup-simplify]: Simplify 1 into 1 10.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.549 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.550 * [backup-simplify]: Simplify (- 0) into 0 10.550 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.550 * [backup-simplify]: Simplify (+ 0) into 0 10.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.552 * [backup-simplify]: Simplify (- 0) into 0 10.552 * [backup-simplify]: Simplify (+ 0 0) into 0 10.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.552 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.552 * [taylor]: Taking taylor expansion of 1/2 in U 10.552 * [backup-simplify]: Simplify 1/2 into 1/2 10.552 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.552 * [taylor]: Taking taylor expansion of J in U 10.552 * [backup-simplify]: Simplify J into J 10.552 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.552 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.552 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.552 * [taylor]: Taking taylor expansion of -1/2 in U 10.552 * [backup-simplify]: Simplify -1/2 into -1/2 10.552 * [taylor]: Taking taylor expansion of K in U 10.553 * [backup-simplify]: Simplify K into K 10.553 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.553 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.553 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.553 * [taylor]: Taking taylor expansion of U in U 10.553 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify 1 into 1 10.553 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.553 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.553 * [backup-simplify]: Simplify (- 0) into 0 10.553 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.553 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.553 * [backup-simplify]: Simplify (+ 0) into 0 10.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.555 * [backup-simplify]: Simplify (- 0) into 0 10.555 * [backup-simplify]: Simplify (+ 0 0) into 0 10.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.555 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.555 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.555 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.556 * [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))) 10.556 * [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))) 10.556 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.557 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.557 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.558 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.558 * [backup-simplify]: Simplify (- 0) into 0 10.558 * [backup-simplify]: Simplify (+ 0 0) into 0 10.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.559 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.560 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.560 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.561 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.561 * [backup-simplify]: Simplify (- 0) into 0 10.561 * [backup-simplify]: Simplify (+ 0 0) into 0 10.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.562 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.563 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.563 * [backup-simplify]: Simplify (+ 0 0) into 0 10.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.563 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.563 * [backup-simplify]: Simplify (- 0) into 0 10.563 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.564 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.564 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 10.564 * [taylor]: Taking taylor expansion of 1/2 in J 10.564 * [backup-simplify]: Simplify 1/2 into 1/2 10.564 * [taylor]: Taking taylor expansion of J in J 10.564 * [backup-simplify]: Simplify 0 into 0 10.564 * [backup-simplify]: Simplify 1 into 1 10.564 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.564 * [taylor]: Taking taylor expansion of 0 in K 10.564 * [backup-simplify]: Simplify 0 into 0 10.564 * [backup-simplify]: Simplify 0 into 0 10.564 * [backup-simplify]: Simplify (+ 0) into 0 10.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.566 * [backup-simplify]: Simplify (- 0) into 0 10.566 * [backup-simplify]: Simplify (+ 0 0) into 0 10.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.566 * [taylor]: Taking taylor expansion of 0 in J 10.566 * [backup-simplify]: Simplify 0 into 0 10.566 * [taylor]: Taking taylor expansion of 0 in K 10.566 * [backup-simplify]: Simplify 0 into 0 10.566 * [backup-simplify]: Simplify 0 into 0 10.566 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.567 * [taylor]: Taking taylor expansion of 1/2 in K 10.567 * [backup-simplify]: Simplify 1/2 into 1/2 10.567 * [backup-simplify]: Simplify 1/2 into 1/2 10.567 * [backup-simplify]: Simplify 0 into 0 10.567 * [backup-simplify]: Simplify (* 1 1) into 1 10.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.569 * [backup-simplify]: Simplify (- 0) into 0 10.570 * [backup-simplify]: Simplify (+ 0 0) into 0 10.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.570 * [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 10.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.574 * [backup-simplify]: Simplify (- 0) into 0 10.574 * [backup-simplify]: Simplify (+ 0 0) into 0 10.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.575 * [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 10.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.575 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 10.576 * [backup-simplify]: Simplify (+ 1 0) into 1 10.576 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.578 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.579 * [backup-simplify]: Simplify (- 0) into 0 10.579 * [backup-simplify]: Simplify (+ 0 0) into 0 10.579 * [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) 10.579 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 10.579 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.579 * [taylor]: Taking taylor expansion of -1/2 in J 10.579 * [backup-simplify]: Simplify -1/2 into -1/2 10.579 * [taylor]: Taking taylor expansion of K in J 10.579 * [backup-simplify]: Simplify K into K 10.580 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.580 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.580 * [backup-simplify]: Simplify (- 0) into 0 10.580 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.580 * [taylor]: Taking taylor expansion of J in J 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.580 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.581 * [backup-simplify]: Simplify (+ 0) into 0 10.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.581 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.582 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.582 * [backup-simplify]: Simplify (- 0) into 0 10.582 * [backup-simplify]: Simplify (+ 0 0) into 0 10.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 10.583 * [taylor]: Taking taylor expansion of 0 in K 10.583 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [taylor]: Taking taylor expansion of 0 in K 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U J)) 10.585 * * * [progress]: simplifying candidates 10.585 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 10.585 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 10.585 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 10.586 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.586 * * [simplify]: iters left: 6 (15 enodes) 10.594 * * [simplify]: iters left: 5 (60 enodes) 10.613 * * [simplify]: iters left: 4 (102 enodes) 10.650 * * [simplify]: iters left: 3 (152 enodes) 10.670 * * [simplify]: iters left: 2 (171 enodes) 10.699 * * [simplify]: Extracting #0: cost 1 inf + 0 10.699 * * [simplify]: Extracting #1: cost 16 inf + 0 10.700 * * [simplify]: Extracting #2: cost 28 inf + 44 10.700 * * [simplify]: Extracting #3: cost 37 inf + 87 10.700 * * [simplify]: Extracting #4: cost 41 inf + 174 10.701 * * [simplify]: Extracting #5: cost 31 inf + 1829 10.704 * * [simplify]: Extracting #6: cost 5 inf + 7755 10.708 * * [simplify]: Extracting #7: cost 0 inf + 9302 10.713 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 10.713 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 10.713 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 10.714 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.714 * * [simplify]: iters left: 6 (15 enodes) 10.722 * * [simplify]: iters left: 5 (60 enodes) 10.734 * * [simplify]: iters left: 4 (102 enodes) 10.750 * * [simplify]: iters left: 3 (152 enodes) 10.774 * * [simplify]: iters left: 2 (171 enodes) 10.817 * * [simplify]: Extracting #0: cost 1 inf + 0 10.817 * * [simplify]: Extracting #1: cost 16 inf + 0 10.817 * * [simplify]: Extracting #2: cost 28 inf + 44 10.817 * * [simplify]: Extracting #3: cost 37 inf + 87 10.818 * * [simplify]: Extracting #4: cost 41 inf + 174 10.819 * * [simplify]: Extracting #5: cost 31 inf + 1829 10.822 * * [simplify]: Extracting #6: cost 5 inf + 7755 10.826 * * [simplify]: Extracting #7: cost 0 inf + 9302 10.830 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 10.831 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 10.831 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 10.831 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.831 * * [simplify]: iters left: 6 (15 enodes) 10.842 * * [simplify]: iters left: 5 (60 enodes) 10.862 * * [simplify]: iters left: 4 (102 enodes) 10.885 * * [simplify]: iters left: 3 (152 enodes) 10.910 * * [simplify]: iters left: 2 (171 enodes) 10.938 * * [simplify]: Extracting #0: cost 1 inf + 0 10.938 * * [simplify]: Extracting #1: cost 16 inf + 0 10.938 * * [simplify]: Extracting #2: cost 28 inf + 44 10.938 * * [simplify]: Extracting #3: cost 37 inf + 87 10.938 * * [simplify]: Extracting #4: cost 41 inf + 174 10.939 * * [simplify]: Extracting #5: cost 31 inf + 1829 10.940 * * [simplify]: Extracting #6: cost 5 inf + 7755 10.943 * * [simplify]: Extracting #7: cost 0 inf + 9302 10.945 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 10.945 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 10.945 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 10.945 * [simplify]: Simplifying (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)) 10.945 * * [simplify]: iters left: 6 (15 enodes) 10.953 * * [simplify]: iters left: 5 (60 enodes) 10.973 * * [simplify]: iters left: 4 (102 enodes) 11.005 * * [simplify]: iters left: 3 (152 enodes) 11.047 * * [simplify]: iters left: 2 (171 enodes) 11.092 * * [simplify]: Extracting #0: cost 1 inf + 0 11.092 * * [simplify]: Extracting #1: cost 16 inf + 0 11.092 * * [simplify]: Extracting #2: cost 28 inf + 44 11.092 * * [simplify]: Extracting #3: cost 37 inf + 87 11.092 * * [simplify]: Extracting #4: cost 41 inf + 174 11.093 * * [simplify]: Extracting #5: cost 31 inf + 1829 11.097 * * [simplify]: Extracting #6: cost 5 inf + 7755 11.101 * * [simplify]: Extracting #7: cost 0 inf + 9302 11.105 * [simplify]: Simplified to (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 11.106 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)) (cos (/ K 2))) (* J -2)) 1)) 11.106 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 11.106 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 11.106 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (cos (/ K 2)))) (+ (log -2) (log J))) 11.106 * * [simplify]: iters left: 6 (19 enodes) 11.116 * * [simplify]: iters left: 5 (72 enodes) 11.139 * * [simplify]: iters left: 4 (115 enodes) 11.174 * * [simplify]: iters left: 3 (168 enodes) 11.202 * * [simplify]: iters left: 2 (188 enodes) 11.233 * * [simplify]: Extracting #0: cost 1 inf + 0 11.233 * * [simplify]: Extracting #1: cost 16 inf + 0 11.234 * * [simplify]: Extracting #2: cost 34 inf + 0 11.234 * * [simplify]: Extracting #3: cost 34 inf + 215 11.234 * * [simplify]: Extracting #4: cost 41 inf + 651 11.234 * * [simplify]: Extracting #5: cost 41 inf + 1491 11.236 * * [simplify]: Extracting #6: cost 15 inf + 10214 11.238 * * [simplify]: Extracting #7: cost 2 inf + 13584 11.241 * * [simplify]: Extracting #8: cost 0 inf + 14836 11.244 * [simplify]: Simplified to (+ (+ (+ (log -2) (log J)) (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (cos (/ K 2)))) 11.244 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (cos (/ K 2)))))) 11.244 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 11.244 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (cos (/ K 2)))) (log (* -2 J))) 11.245 * * [simplify]: iters left: 6 (18 enodes) 11.250 * * [simplify]: iters left: 5 (70 enodes) 11.262 * * [simplify]: iters left: 4 (109 enodes) 11.293 * * [simplify]: iters left: 3 (161 enodes) 11.322 * * [simplify]: iters left: 2 (192 enodes) 11.350 * * [simplify]: Extracting #0: cost 1 inf + 0 11.350 * * [simplify]: Extracting #1: cost 16 inf + 0 11.350 * * [simplify]: Extracting #2: cost 35 inf + 0 11.350 * * [simplify]: Extracting #3: cost 33 inf + 440 11.350 * * [simplify]: Extracting #4: cost 41 inf + 595 11.350 * * [simplify]: Extracting #5: cost 41 inf + 1435 11.352 * * [simplify]: Extracting #6: cost 16 inf + 9281 11.355 * * [simplify]: Extracting #7: cost 0 inf + 14360 11.357 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))) 11.358 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (log (* J -2)))))) 11.358 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 11.358 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (+ (log -2) (log J))) 11.358 * * [simplify]: iters left: 6 (18 enodes) 11.363 * * [simplify]: iters left: 5 (70 enodes) 11.381 * * [simplify]: iters left: 4 (109 enodes) 11.418 * * [simplify]: iters left: 3 (161 enodes) 11.442 * * [simplify]: iters left: 2 (193 enodes) 11.471 * * [simplify]: Extracting #0: cost 1 inf + 0 11.471 * * [simplify]: Extracting #1: cost 16 inf + 0 11.471 * * [simplify]: Extracting #2: cost 35 inf + 0 11.471 * * [simplify]: Extracting #3: cost 38 inf + 73 11.471 * * [simplify]: Extracting #4: cost 44 inf + 469 11.472 * * [simplify]: Extracting #5: cost 43 inf + 1491 11.473 * * [simplify]: Extracting #6: cost 13 inf + 11392 11.476 * * [simplify]: Extracting #7: cost 0 inf + 14916 11.479 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) 11.479 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log J)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))))) 11.479 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 11.480 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (log (* -2 J))) 11.480 * * [simplify]: iters left: 6 (17 enodes) 11.485 * * [simplify]: iters left: 5 (68 enodes) 11.498 * * [simplify]: iters left: 4 (106 enodes) 11.521 * * [simplify]: iters left: 3 (153 enodes) 11.558 * * [simplify]: iters left: 2 (186 enodes) 11.580 * * [simplify]: iters left: 1 (191 enodes) 11.627 * * [simplify]: Extracting #0: cost 1 inf + 0 11.627 * * [simplify]: Extracting #1: cost 16 inf + 0 11.627 * * [simplify]: Extracting #2: cost 36 inf + 0 11.628 * * [simplify]: Extracting #3: cost 40 inf + 73 11.628 * * [simplify]: Extracting #4: cost 46 inf + 370 11.629 * * [simplify]: Extracting #5: cost 45 inf + 1291 11.631 * * [simplify]: Extracting #6: cost 19 inf + 8305 11.636 * * [simplify]: Extracting #7: cost 2 inf + 13478 11.642 * * [simplify]: Extracting #8: cost 0 inf + 14440 11.645 * [simplify]: Simplified to (+ (log (* J -2)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))) 11.645 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* J -2)) (log (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (cos (/ K 2))))))) 11.645 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 11.645 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 11.645 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 11.645 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 11.645 * * [simplify]: iters left: 6 (23 enodes) 11.652 * * [simplify]: iters left: 5 (97 enodes) 11.671 * * [simplify]: iters left: 4 (231 enodes) 11.754 * * [simplify]: Extracting #0: cost 1 inf + 0 11.754 * * [simplify]: Extracting #1: cost 59 inf + 0 11.755 * * [simplify]: Extracting #2: cost 268 inf + 208 11.756 * * [simplify]: Extracting #3: cost 268 inf + 1688 11.758 * * [simplify]: Extracting #4: cost 231 inf + 9014 11.767 * * [simplify]: Extracting #5: cost 120 inf + 43018 11.793 * * [simplify]: Extracting #6: cost 6 inf + 97334 11.835 * * [simplify]: Extracting #7: cost 0 inf + 97819 11.870 * * [simplify]: Extracting #8: cost 0 inf + 97739 11.903 * [simplify]: Simplified to (* (* (* (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))))) (* (* J -8) (* J J))) 11.903 * [simplify]: Simplified (2 1) to (λ (J K U) (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))))) (* (* J -8) (* J J))))) 11.903 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 11.904 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 11.904 * * [simplify]: iters left: 6 (21 enodes) 11.918 * * [simplify]: iters left: 5 (95 enodes) 11.953 * * [simplify]: iters left: 4 (231 enodes) 12.026 * * [simplify]: Extracting #0: cost 1 inf + 0 12.026 * * [simplify]: Extracting #1: cost 56 inf + 0 12.028 * * [simplify]: Extracting #2: cost 221 inf + 86 12.029 * * [simplify]: Extracting #3: cost 219 inf + 1611 12.032 * * [simplify]: Extracting #4: cost 188 inf + 7742 12.039 * * [simplify]: Extracting #5: cost 105 inf + 36033 12.059 * * [simplify]: Extracting #6: cost 11 inf + 81281 12.102 * * [simplify]: Extracting #7: cost 0 inf + 85411 12.152 * * [simplify]: Extracting #8: cost 0 inf + 83971 12.198 * * [simplify]: Extracting #9: cost 0 inf + 83851 12.244 * [simplify]: Simplified to (* (* (* (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))))) (* (* (* J J) -8) J)) 12.244 * [simplify]: Simplified (2 1) to (λ (J K U) (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))))) (* (* (* J J) -8) J)))) 12.245 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 12.245 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 12.245 * * [simplify]: iters left: 6 (21 enodes) 12.258 * * [simplify]: iters left: 5 (96 enodes) 12.301 * * [simplify]: iters left: 4 (242 enodes) 12.406 * * [simplify]: Extracting #0: cost 1 inf + 0 12.406 * * [simplify]: Extracting #1: cost 52 inf + 0 12.408 * * [simplify]: Extracting #2: cost 230 inf + 45 12.410 * * [simplify]: Extracting #3: cost 243 inf + 704 12.413 * * [simplify]: Extracting #4: cost 224 inf + 3959 12.422 * * [simplify]: Extracting #5: cost 159 inf + 24237 12.454 * * [simplify]: Extracting #6: cost 23 inf + 83965 12.479 * * [simplify]: Extracting #7: cost 0 inf + 95303 12.530 * [simplify]: Simplified to (* (* (* (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))))) (* (* (* J J) -8) J)) 12.530 * [simplify]: Simplified (2 1) to (λ (J K U) (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))))) (* (* (* J J) -8) J)))) 12.530 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 12.530 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 12.531 * * [simplify]: iters left: 6 (19 enodes) 12.544 * * [simplify]: iters left: 5 (93 enodes) 12.562 * * [simplify]: iters left: 4 (238 enodes) 12.680 * * [simplify]: Extracting #0: cost 1 inf + 0 12.680 * * [simplify]: Extracting #1: cost 55 inf + 0 12.681 * * [simplify]: Extracting #2: cost 241 inf + 168 12.682 * * [simplify]: Extracting #3: cost 233 inf + 2012 12.684 * * [simplify]: Extracting #4: cost 232 inf + 2690 12.688 * * [simplify]: Extracting #5: cost 178 inf + 18264 12.716 * * [simplify]: Extracting #6: cost 32 inf + 80674 12.760 * * [simplify]: Extracting #7: cost 0 inf + 95502 12.788 * * [simplify]: Extracting #8: cost 0 inf + 95462 12.832 * [simplify]: Simplified to (* (* (* (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)))) 12.832 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (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)))))) 12.832 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 12.832 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 12.832 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 12.832 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 12.832 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 12.832 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 12.832 * [simplify]: Simplifying (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 12.832 * * [simplify]: iters left: 6 (11 enodes) 12.836 * * [simplify]: iters left: 5 (41 enodes) 12.843 * * [simplify]: iters left: 4 (61 enodes) 12.852 * * [simplify]: iters left: 3 (78 enodes) 12.866 * * [simplify]: iters left: 2 (83 enodes) 12.891 * * [simplify]: Extracting #0: cost 1 inf + 0 12.891 * * [simplify]: Extracting #1: cost 4 inf + 0 12.891 * * [simplify]: Extracting #2: cost 14 inf + 1 12.891 * * [simplify]: Extracting #3: cost 22 inf + 46 12.891 * * [simplify]: Extracting #4: cost 23 inf + 338 12.892 * * [simplify]: Extracting #5: cost 19 inf + 465 12.893 * * [simplify]: Extracting #6: cost 8 inf + 2055 12.894 * * [simplify]: Extracting #7: cost 0 inf + 3675 12.895 * [simplify]: Simplified to (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) 12.895 * [simplify]: Simplified (2 1) to (λ (J K U) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cos (/ K 2)) (* -2 J)))) 12.895 * * * * [progress]: [ 24 / 105 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J)))))> 12.896 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 12.896 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 12.896 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 12.896 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 12.896 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 12.896 * * [simplify]: iters left: 6 (7 enodes) 12.900 * * [simplify]: iters left: 5 (25 enodes) 12.908 * * [simplify]: iters left: 4 (33 enodes) 12.918 * * [simplify]: iters left: 3 (39 enodes) 12.929 * * [simplify]: Extracting #0: cost 1 inf + 0 12.929 * * [simplify]: Extracting #1: cost 8 inf + 0 12.929 * * [simplify]: Extracting #2: cost 11 inf + 2 12.929 * * [simplify]: Extracting #3: cost 12 inf + 44 12.929 * * [simplify]: Extracting #4: cost 8 inf + 171 12.930 * * [simplify]: Extracting #5: cost 3 inf + 843 12.930 * * [simplify]: Extracting #6: cost 0 inf + 1311 12.931 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 12.931 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (cos (/ K 2))) (* -2 J))) 12.931 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 12.931 * [simplify]: Simplifying (* J (* (cos (/ K 2)) 2)) 12.931 * * [simplify]: iters left: 6 (7 enodes) 12.935 * * [simplify]: iters left: 5 (25 enodes) 12.943 * * [simplify]: iters left: 4 (33 enodes) 12.953 * * [simplify]: iters left: 3 (39 enodes) 12.963 * * [simplify]: Extracting #0: cost 1 inf + 0 12.963 * * [simplify]: Extracting #1: cost 8 inf + 0 12.963 * * [simplify]: Extracting #2: cost 11 inf + 2 12.964 * * [simplify]: Extracting #3: cost 12 inf + 44 12.964 * * [simplify]: Extracting #4: cost 8 inf + 171 12.964 * * [simplify]: Extracting #5: cost 3 inf + 843 12.965 * * [simplify]: Extracting #6: cost 0 inf + 1311 12.965 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 12.965 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (pow (* (cos (/ K 2)) (* J 2)) 1))) (cos (/ K 2))) (* -2 J))) 12.966 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 12.966 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 12.966 * [simplify]: Simplifying (+ (log J) (+ (log (cos (/ K 2))) (log 2))) 12.966 * * [simplify]: iters left: 6 (10 enodes) 12.972 * * [simplify]: iters left: 5 (34 enodes) 12.983 * * [simplify]: iters left: 4 (42 enodes) 12.996 * * [simplify]: iters left: 3 (47 enodes) 13.009 * * [simplify]: Extracting #0: cost 1 inf + 0 13.009 * * [simplify]: Extracting #1: cost 8 inf + 0 13.009 * * [simplify]: Extracting #2: cost 17 inf + 0 13.009 * * [simplify]: Extracting #3: cost 15 inf + 144 13.009 * * [simplify]: Extracting #4: cost 16 inf + 215 13.009 * * [simplify]: Extracting #5: cost 9 inf + 837 13.010 * * [simplify]: Extracting #6: cost 1 inf + 2916 13.011 * * [simplify]: Extracting #7: cost 0 inf + 3199 13.012 * [simplify]: Simplified to (+ (log 2) (+ (log J) (log (cos (/ K 2))))) 13.012 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (exp (+ (log 2) (+ (log J) (log (cos (/ K 2)))))))) (cos (/ K 2))) (* -2 J))) 13.012 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 13.012 * [simplify]: Simplifying (+ (log J) (log (* (cos (/ K 2)) 2))) 13.013 * * [simplify]: iters left: 6 (9 enodes) 13.017 * * [simplify]: iters left: 5 (32 enodes) 13.028 * * [simplify]: iters left: 4 (41 enodes) 13.043 * * [simplify]: iters left: 3 (50 enodes) 13.057 * * [simplify]: Extracting #0: cost 1 inf + 0 13.057 * * [simplify]: Extracting #1: cost 8 inf + 0 13.057 * * [simplify]: Extracting #2: cost 18 inf + 0 13.057 * * [simplify]: Extracting #3: cost 19 inf + 2 13.057 * * [simplify]: Extracting #4: cost 16 inf + 579 13.057 * * [simplify]: Extracting #5: cost 11 inf + 837 13.058 * * [simplify]: Extracting #6: cost 4 inf + 1991 13.059 * * [simplify]: Extracting #7: cost 0 inf + 3203 13.060 * [simplify]: Simplified to (+ (log (* 2 (cos (/ K 2)))) (log J)) 13.060 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (exp (+ (log (* 2 (cos (/ K 2)))) (log J))))) (cos (/ K 2))) (* -2 J))) 13.060 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 13.060 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 13.060 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 13.060 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 13.061 * * [simplify]: iters left: 6 (13 enodes) 13.068 * * [simplify]: iters left: 5 (53 enodes) 13.090 * * [simplify]: iters left: 4 (132 enodes) 13.143 * * [simplify]: iters left: 3 (429 enodes) 13.442 * * [simplify]: Extracting #0: cost 1 inf + 0 13.442 * * [simplify]: Extracting #1: cost 91 inf + 0 13.444 * * [simplify]: Extracting #2: cost 246 inf + 87 13.447 * * [simplify]: Extracting #3: cost 220 inf + 2827 13.455 * * [simplify]: Extracting #4: cost 139 inf + 22133 13.478 * * [simplify]: Extracting #5: cost 13 inf + 55236 13.493 * * [simplify]: Extracting #6: cost 0 inf + 57862 13.506 * * [simplify]: Extracting #7: cost 0 inf + 57822 13.530 * [simplify]: Simplified to (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2)))) 13.530 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (cbrt (* (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) 8) (* J (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 13.530 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 13.530 * [simplify]: Simplifying (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 13.530 * * [simplify]: iters left: 6 (11 enodes) 13.534 * * [simplify]: iters left: 5 (51 enodes) 13.544 * * [simplify]: iters left: 4 (123 enodes) 13.581 * * [simplify]: iters left: 3 (378 enodes) 13.824 * * [simplify]: Extracting #0: cost 1 inf + 0 13.824 * * [simplify]: Extracting #1: cost 70 inf + 0 13.825 * * [simplify]: Extracting #2: cost 183 inf + 248 13.827 * * [simplify]: Extracting #3: cost 165 inf + 2757 13.831 * * [simplify]: Extracting #4: cost 101 inf + 18508 13.846 * * [simplify]: Extracting #5: cost 7 inf + 44227 13.858 * * [simplify]: Extracting #6: cost 0 inf + 45950 13.871 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J)) 13.871 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (cbrt (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (cos (/ K 2)) 2) J))))) (cos (/ K 2))) (* -2 J))) 13.871 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 13.871 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 13.871 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 13.871 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 13.871 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 13.871 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 13.871 * [simplify]: Simplifying (* (cbrt J) (cbrt J)) 13.871 * * [simplify]: iters left: 3 (3 enodes) 13.872 * * [simplify]: iters left: 2 (9 enodes) 13.873 * * [simplify]: Extracting #0: cost 1 inf + 0 13.873 * * [simplify]: Extracting #1: cost 3 inf + 0 13.873 * * [simplify]: Extracting #2: cost 5 inf + 0 13.873 * * [simplify]: Extracting #3: cost 4 inf + 1 13.873 * * [simplify]: Extracting #4: cost 0 inf + 405 13.873 * [simplify]: Simplified to (* (cbrt J) (cbrt J)) 13.873 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J))) 13.873 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 13.874 * [simplify]: Simplifying (sqrt J) 13.874 * * [simplify]: iters left: 1 (2 enodes) 13.874 * * [simplify]: Extracting #0: cost 1 inf + 0 13.874 * * [simplify]: Extracting #1: cost 3 inf + 0 13.874 * * [simplify]: Extracting #2: cost 2 inf + 1 13.874 * * [simplify]: Extracting #3: cost 0 inf + 83 13.874 * [simplify]: Simplified to (sqrt J) 13.874 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (J K U) (* (* (hypot 1 (/ U (* (sqrt J) (* (sqrt J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J))) 13.874 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 13.874 * * * * [progress]: [ 45 / 105 ] simplifiying candidate #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> 13.874 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 13.874 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 13.874 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 13.874 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 13.874 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 13.875 * [simplify]: Simplifying (- (log U) (+ (log J) (+ (log (cos (/ K 2))) (log 2)))) 13.875 * * [simplify]: iters left: 6 (13 enodes) 13.878 * * [simplify]: iters left: 5 (47 enodes) 13.893 * * [simplify]: iters left: 4 (77 enodes) 13.919 * * [simplify]: iters left: 3 (142 enodes) 13.974 * * [simplify]: iters left: 2 (244 enodes) 14.056 * * [simplify]: iters left: 1 (389 enodes) 14.155 * * [simplify]: Extracting #0: cost 1 inf + 0 14.155 * * [simplify]: Extracting #1: cost 43 inf + 0 14.156 * * [simplify]: Extracting #2: cost 85 inf + 0 14.156 * * [simplify]: Extracting #3: cost 78 inf + 509 14.157 * * [simplify]: Extracting #4: cost 62 inf + 3772 14.158 * * [simplify]: Extracting #5: cost 40 inf + 8371 14.163 * * [simplify]: Extracting #6: cost 9 inf + 19264 14.167 * * [simplify]: Extracting #7: cost 0 inf + 22854 14.172 * [simplify]: Simplified to (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 14.172 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))))) (cos (/ K 2))) (* -2 J))) 14.172 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 14.172 * [simplify]: Simplifying (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 14.172 * * [simplify]: iters left: 6 (12 enodes) 14.175 * * [simplify]: iters left: 5 (45 enodes) 14.182 * * [simplify]: iters left: 4 (69 enodes) 14.200 * * [simplify]: iters left: 3 (118 enodes) 14.241 * * [simplify]: iters left: 2 (207 enodes) 14.323 * * [simplify]: iters left: 1 (350 enodes) 14.432 * * [simplify]: Extracting #0: cost 1 inf + 0 14.433 * * [simplify]: Extracting #1: cost 41 inf + 0 14.433 * * [simplify]: Extracting #2: cost 80 inf + 0 14.434 * * [simplify]: Extracting #3: cost 70 inf + 1095 14.435 * * [simplify]: Extracting #4: cost 52 inf + 5095 14.438 * * [simplify]: Extracting #5: cost 38 inf + 7394 14.442 * * [simplify]: Extracting #6: cost 16 inf + 14208 14.450 * * [simplify]: Extracting #7: cost 0 inf + 19711 14.458 * [simplify]: Simplified to (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))) 14.458 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (log U) (+ (log J) (log (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J))) 14.458 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 14.458 * [simplify]: Simplifying (- (log U) (log (* J (* (cos (/ K 2)) 2)))) 14.458 * * [simplify]: iters left: 6 (11 enodes) 14.464 * * [simplify]: iters left: 5 (42 enodes) 14.477 * * [simplify]: iters left: 4 (69 enodes) 14.490 * * [simplify]: iters left: 3 (114 enodes) 14.508 * * [simplify]: iters left: 2 (185 enodes) 14.556 * * [simplify]: iters left: 1 (294 enodes) 14.624 * * [simplify]: Extracting #0: cost 1 inf + 0 14.624 * * [simplify]: Extracting #1: cost 54 inf + 0 14.625 * * [simplify]: Extracting #2: cost 108 inf + 0 14.625 * * [simplify]: Extracting #3: cost 107 inf + 327 14.626 * * [simplify]: Extracting #4: cost 86 inf + 3544 14.628 * * [simplify]: Extracting #5: cost 62 inf + 8359 14.633 * * [simplify]: Extracting #6: cost 21 inf + 20747 14.641 * * [simplify]: Extracting #7: cost 0 inf + 27400 14.646 * * [simplify]: Extracting #8: cost 0 inf + 27050 14.651 * [simplify]: Simplified to (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 14.651 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (log U) (log (* (* 2 J) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 14.651 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 14.651 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 14.651 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 14.651 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2)))) 14.652 * * [simplify]: iters left: 6 (17 enodes) 14.658 * * [simplify]: iters left: 5 (74 enodes) 14.675 * * [simplify]: iters left: 4 (218 enodes) 14.774 * * [simplify]: Extracting #0: cost 1 inf + 0 14.774 * * [simplify]: Extracting #1: cost 173 inf + 0 14.777 * * [simplify]: Extracting #2: cost 367 inf + 2039 14.783 * * [simplify]: Extracting #3: cost 314 inf + 9518 14.797 * * [simplify]: Extracting #4: cost 137 inf + 52354 14.817 * * [simplify]: Extracting #5: cost 2 inf + 91480 14.856 * * [simplify]: Extracting #6: cost 0 inf + 91928 14.897 * [simplify]: Simplified to (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 14.897 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (/ (* (/ U J) (/ U J)) (/ 8 (/ U J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 14.897 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 14.897 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J J) J) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2)))) 14.897 * * [simplify]: iters left: 6 (15 enodes) 14.902 * * [simplify]: iters left: 5 (71 enodes) 14.916 * * [simplify]: iters left: 4 (218 enodes) 15.056 * * [simplify]: Extracting #0: cost 1 inf + 0 15.057 * * [simplify]: Extracting #1: cost 159 inf + 0 15.060 * * [simplify]: Extracting #2: cost 369 inf + 1023 15.065 * * [simplify]: Extracting #3: cost 331 inf + 6901 15.083 * * [simplify]: Extracting #4: cost 161 inf + 51690 15.111 * * [simplify]: Extracting #5: cost 6 inf + 97480 15.154 * * [simplify]: Extracting #6: cost 0 inf + 98543 15.191 * [simplify]: Simplified to (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))) 15.191 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (cos (/ K 2)) 2) (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J))) 15.191 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 15.191 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))) 15.192 * * [simplify]: iters left: 6 (13 enodes) 15.195 * * [simplify]: iters left: 5 (61 enodes) 15.212 * * [simplify]: iters left: 4 (231 enodes) 15.458 * * [simplify]: Extracting #0: cost 1 inf + 0 15.458 * * [simplify]: Extracting #1: cost 188 inf + 0 15.460 * * [simplify]: Extracting #2: cost 413 inf + 741 15.466 * * [simplify]: Extracting #3: cost 387 inf + 5457 15.478 * * [simplify]: Extracting #4: cost 186 inf + 57444 15.526 * * [simplify]: Extracting #5: cost 3 inf + 111030 15.557 * * [simplify]: Extracting #6: cost 0 inf + 111016 15.612 * [simplify]: Simplified to (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 15.612 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 15.612 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 15.612 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 15.612 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 15.612 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 15.612 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 15.613 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) J) 15.613 * * [simplify]: iters left: 5 (5 enodes) 15.615 * * [simplify]: iters left: 4 (17 enodes) 15.620 * * [simplify]: iters left: 3 (21 enodes) 15.626 * * [simplify]: iters left: 2 (24 enodes) 15.633 * * [simplify]: Extracting #0: cost 1 inf + 0 15.633 * * [simplify]: Extracting #1: cost 7 inf + 0 15.633 * * [simplify]: Extracting #2: cost 11 inf + 1 15.633 * * [simplify]: Extracting #3: cost 10 inf + 2 15.633 * * [simplify]: Extracting #4: cost 0 inf + 1218 15.634 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) J) 15.634 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (cbrt U) (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 15.634 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) 2)) 15.634 * * [simplify]: iters left: 6 (8 enodes) 15.638 * * [simplify]: iters left: 5 (27 enodes) 15.646 * * [simplify]: iters left: 4 (31 enodes) 15.656 * * [simplify]: iters left: 3 (33 enodes) 15.665 * * [simplify]: Extracting #0: cost 1 inf + 0 15.665 * * [simplify]: Extracting #1: cost 8 inf + 0 15.665 * * [simplify]: Extracting #2: cost 14 inf + 1 15.665 * * [simplify]: Extracting #3: cost 15 inf + 2 15.665 * * [simplify]: Extracting #4: cost 10 inf + 270 15.666 * * [simplify]: Extracting #5: cost 1 inf + 1690 15.666 * * [simplify]: Extracting #6: cost 0 inf + 1953 15.667 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) 2) 15.667 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) J) (/ (/ (cbrt U) (cos (/ K 2))) 2))) (cos (/ K 2))) (* -2 J))) 15.667 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 15.667 * [simplify]: Simplifying (/ (sqrt U) J) 15.668 * * [simplify]: iters left: 3 (4 enodes) 15.669 * * [simplify]: iters left: 2 (12 enodes) 15.672 * * [simplify]: Extracting #0: cost 1 inf + 0 15.672 * * [simplify]: Extracting #1: cost 4 inf + 0 15.672 * * [simplify]: Extracting #2: cost 5 inf + 1 15.673 * * [simplify]: Extracting #3: cost 4 inf + 2 15.673 * * [simplify]: Extracting #4: cost 0 inf + 248 15.673 * [simplify]: Simplified to (/ (sqrt U) J) 15.673 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) J) (/ (sqrt U) (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 15.673 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) 2)) 15.673 * * [simplify]: iters left: 6 (8 enodes) 15.677 * * [simplify]: iters left: 5 (27 enodes) 15.685 * * [simplify]: iters left: 4 (31 enodes) 15.694 * * [simplify]: iters left: 3 (33 enodes) 15.703 * * [simplify]: Extracting #0: cost 1 inf + 0 15.703 * * [simplify]: Extracting #1: cost 8 inf + 0 15.703 * * [simplify]: Extracting #2: cost 14 inf + 1 15.703 * * [simplify]: Extracting #3: cost 15 inf + 2 15.703 * * [simplify]: Extracting #4: cost 10 inf + 230 15.704 * * [simplify]: Extracting #5: cost 1 inf + 1410 15.704 * * [simplify]: Extracting #6: cost 0 inf + 1633 15.705 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) 2) 15.705 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) J) (/ (/ (sqrt U) (cos (/ K 2))) 2))) (cos (/ K 2))) (* -2 J))) 15.705 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 15.705 * [simplify]: Simplifying (/ 1 J) 15.706 * * [simplify]: iters left: 2 (3 enodes) 15.707 * * [simplify]: iters left: 1 (11 enodes) 15.711 * * [simplify]: Extracting #0: cost 1 inf + 0 15.711 * * [simplify]: Extracting #1: cost 4 inf + 0 15.712 * * [simplify]: Extracting #2: cost 2 inf + 2 15.712 * * [simplify]: Extracting #3: cost 0 inf + 86 15.712 * [simplify]: Simplified to (/ 1 J) 15.712 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 J) (/ U (* (cos (/ K 2)) 2)))) (cos (/ K 2))) (* -2 J))) 15.712 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) 2)) 15.712 * * [simplify]: iters left: 6 (7 enodes) 15.716 * * [simplify]: iters left: 5 (24 enodes) 15.723 * * [simplify]: iters left: 4 (28 enodes) 15.731 * * [simplify]: iters left: 3 (30 enodes) 15.742 * * [simplify]: Extracting #0: cost 1 inf + 0 15.742 * * [simplify]: Extracting #1: cost 8 inf + 0 15.742 * * [simplify]: Extracting #2: cost 11 inf + 2 15.742 * * [simplify]: Extracting #3: cost 11 inf + 86 15.742 * * [simplify]: Extracting #4: cost 8 inf + 171 15.743 * * [simplify]: Extracting #5: cost 2 inf + 986 15.743 * * [simplify]: Extracting #6: cost 0 inf + 1311 15.743 * [simplify]: Simplified to (/ (/ U 2) (cos (/ K 2))) 15.744 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ 1 J) (/ (/ U 2) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) 15.744 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 15.744 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 15.744 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 15.744 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 15.744 * [simplify]: Simplifying (* (cos (/ K 2)) 2) 15.744 * * [simplify]: iters left: 5 (5 enodes) 15.747 * * [simplify]: iters left: 4 (16 enodes) 15.751 * * [simplify]: Extracting #0: cost 1 inf + 0 15.751 * * [simplify]: Extracting #1: cost 4 inf + 0 15.751 * * [simplify]: Extracting #2: cost 5 inf + 1 15.751 * * [simplify]: Extracting #3: cost 7 inf + 1 15.751 * * [simplify]: Extracting #4: cost 6 inf + 2 15.751 * * [simplify]: Extracting #5: cost 0 inf + 574 15.751 * [simplify]: Simplified to (* (cos (/ K 2)) 2) 15.752 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J))) 15.752 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 15.752 * [simplify]: Simplifying (* (cbrt U) (cbrt U)) 15.752 * * [simplify]: iters left: 3 (3 enodes) 15.752 * * [simplify]: iters left: 2 (9 enodes) 15.754 * * [simplify]: Extracting #0: cost 1 inf + 0 15.754 * * [simplify]: Extracting #1: cost 3 inf + 0 15.754 * * [simplify]: Extracting #2: cost 5 inf + 0 15.754 * * [simplify]: Extracting #3: cost 4 inf + 1 15.754 * * [simplify]: Extracting #4: cost 0 inf + 405 15.754 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 15.754 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* J (* (cos (/ K 2)) 2)) (cbrt U)))) (cos (/ K 2))) (* -2 J))) 15.754 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 15.754 * [simplify]: Simplifying (sqrt U) 15.754 * * [simplify]: iters left: 1 (2 enodes) 15.755 * * [simplify]: Extracting #0: cost 1 inf + 0 15.755 * * [simplify]: Extracting #1: cost 3 inf + 0 15.755 * * [simplify]: Extracting #2: cost 2 inf + 1 15.755 * * [simplify]: Extracting #3: cost 0 inf + 83 15.755 * [simplify]: Simplified to (sqrt U) 15.755 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (sqrt U) (/ (* J (* (cos (/ K 2)) 2)) (sqrt U)))) (cos (/ K 2))) (* -2 J))) 15.755 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 15.755 * * * * [progress]: [ 72 / 105 ] simplifiying candidate #real (real->posit16 (/ U (* J (* (cos (/ K 2)) 2)))))) (cos (/ K 2))) (* -2 J)))> 15.755 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 15.755 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 15.755 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 15.755 * [simplify]: Simplifying (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))) 15.755 * * [simplify]: iters left: 6 (12 enodes) 15.758 * * [simplify]: iters left: 5 (45 enodes) 15.765 * * [simplify]: iters left: 4 (65 enodes) 15.775 * * [simplify]: iters left: 3 (82 enodes) 15.786 * * [simplify]: iters left: 2 (87 enodes) 15.797 * * [simplify]: Extracting #0: cost 1 inf + 0 15.797 * * [simplify]: Extracting #1: cost 4 inf + 0 15.798 * * [simplify]: Extracting #2: cost 9 inf + 0 15.798 * * [simplify]: Extracting #3: cost 20 inf + 1 15.798 * * [simplify]: Extracting #4: cost 24 inf + 89 15.798 * * [simplify]: Extracting #5: cost 13 inf + 2170 15.800 * * [simplify]: Extracting #6: cost 1 inf + 4035 15.801 * * [simplify]: Extracting #7: cost 0 inf + 4315 15.803 * [simplify]: Simplified to (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) 15.803 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) 1) (* -2 J))) 15.803 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 15.803 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 15.803 * [simplify]: Simplifying (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (log (cos (/ K 2)))) 15.804 * * [simplify]: iters left: 6 (14 enodes) 15.810 * * [simplify]: iters left: 5 (51 enodes) 15.826 * * [simplify]: iters left: 4 (71 enodes) 15.848 * * [simplify]: iters left: 3 (88 enodes) 15.872 * * [simplify]: iters left: 2 (93 enodes) 15.894 * * [simplify]: Extracting #0: cost 1 inf + 0 15.894 * * [simplify]: Extracting #1: cost 4 inf + 0 15.894 * * [simplify]: Extracting #2: cost 8 inf + 0 15.894 * * [simplify]: Extracting #3: cost 13 inf + 0 15.894 * * [simplify]: Extracting #4: cost 24 inf + 1 15.894 * * [simplify]: Extracting #5: cost 29 inf + 47 15.894 * * [simplify]: Extracting #6: cost 15 inf + 2284 15.895 * * [simplify]: Extracting #7: cost 1 inf + 5179 15.896 * * [simplify]: Extracting #8: cost 0 inf + 5639 15.897 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J)))) 15.897 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))))) (* -2 J))) 15.897 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 15.897 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 15.897 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 15.897 * [simplify]: Simplifying (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) 15.898 * * [simplify]: iters left: 6 (16 enodes) 15.902 * * [simplify]: iters left: 5 (63 enodes) 15.913 * * [simplify]: iters left: 4 (112 enodes) 15.949 * * [simplify]: iters left: 3 (185 enodes) 16.002 * * [simplify]: iters left: 2 (283 enodes) 16.084 * * [simplify]: iters left: 1 (454 enodes) 16.217 * * [simplify]: Extracting #0: cost 1 inf + 0 16.217 * * [simplify]: Extracting #1: cost 52 inf + 0 16.218 * * [simplify]: Extracting #2: cost 160 inf + 1 16.218 * * [simplify]: Extracting #3: cost 174 inf + 4 16.219 * * [simplify]: Extracting #4: cost 173 inf + 927 16.222 * * [simplify]: Extracting #5: cost 129 inf + 16326 16.249 * * [simplify]: Extracting #6: cost 15 inf + 90619 16.286 * * [simplify]: Extracting #7: cost 0 inf + 102685 16.325 * [simplify]: Simplified to (* (* (* (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)))) 16.325 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (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))))) (* -2 J))) 16.325 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 16.325 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 16.326 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 16.326 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 16.326 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 16.326 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2)))) 16.326 * * [simplify]: iters left: 6 (14 enodes) 16.333 * * [simplify]: iters left: 5 (51 enodes) 16.350 * * [simplify]: iters left: 4 (71 enodes) 16.374 * * [simplify]: iters left: 3 (88 enodes) 16.398 * * [simplify]: iters left: 2 (93 enodes) 16.409 * * [simplify]: Extracting #0: cost 1 inf + 0 16.409 * * [simplify]: Extracting #1: cost 4 inf + 0 16.409 * * [simplify]: Extracting #2: cost 8 inf + 0 16.409 * * [simplify]: Extracting #3: cost 13 inf + 0 16.409 * * [simplify]: Extracting #4: cost 24 inf + 1 16.410 * * [simplify]: Extracting #5: cost 29 inf + 47 16.410 * * [simplify]: Extracting #6: cost 15 inf + 2254 16.411 * * [simplify]: Extracting #7: cost 1 inf + 4999 16.412 * * [simplify]: Extracting #8: cost 0 inf + 5399 16.413 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2)))) 16.413 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2))))) (* -2 J))) 16.413 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2)))) 16.413 * * [simplify]: iters left: 6 (14 enodes) 16.416 * * [simplify]: iters left: 5 (51 enodes) 16.424 * * [simplify]: iters left: 4 (71 enodes) 16.434 * * [simplify]: iters left: 3 (88 enodes) 16.455 * * [simplify]: iters left: 2 (93 enodes) 16.481 * * [simplify]: Extracting #0: cost 1 inf + 0 16.482 * * [simplify]: Extracting #1: cost 4 inf + 0 16.482 * * [simplify]: Extracting #2: cost 8 inf + 0 16.482 * * [simplify]: Extracting #3: cost 13 inf + 0 16.482 * * [simplify]: Extracting #4: cost 24 inf + 1 16.482 * * [simplify]: Extracting #5: cost 29 inf + 47 16.483 * * [simplify]: Extracting #6: cost 15 inf + 2254 16.484 * * [simplify]: Extracting #7: cost 1 inf + 4999 16.486 * * [simplify]: Extracting #8: cost 0 inf + 5399 16.487 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2)))) 16.487 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ (/ U (cos (/ K 2))) 2) J))) (sqrt (cos (/ K 2))))) (* -2 J))) 16.487 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 16.488 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 16.488 * * [simplify]: iters left: 4 (5 enodes) 16.489 * * [simplify]: iters left: 3 (15 enodes) 16.491 * * [simplify]: Extracting #0: cost 1 inf + 0 16.491 * * [simplify]: Extracting #1: cost 3 inf + 0 16.491 * * [simplify]: Extracting #2: cost 5 inf + 0 16.491 * * [simplify]: Extracting #3: cost 8 inf + 0 16.491 * * [simplify]: Extracting #4: cost 6 inf + 2 16.492 * * [simplify]: Extracting #5: cost 0 inf + 654 16.492 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 16.492 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* -2 J))) 16.492 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 16.492 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 16.492 * * [simplify]: iters left: 4 (5 enodes) 16.493 * * [simplify]: iters left: 3 (15 enodes) 16.496 * * [simplify]: Extracting #0: cost 1 inf + 0 16.496 * * [simplify]: Extracting #1: cost 3 inf + 0 16.496 * * [simplify]: Extracting #2: cost 5 inf + 0 16.496 * * [simplify]: Extracting #3: cost 8 inf + 0 16.496 * * [simplify]: Extracting #4: cost 6 inf + 2 16.496 * * [simplify]: Extracting #5: cost 0 inf + 574 16.496 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 16.496 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* -2 J))) 16.496 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 16.496 * [simplify]: Simplifying (cos (/ K 2)) 16.496 * * [simplify]: iters left: 3 (4 enodes) 16.498 * * [simplify]: iters left: 2 (12 enodes) 16.499 * * [simplify]: Extracting #0: cost 1 inf + 0 16.499 * * [simplify]: Extracting #1: cost 3 inf + 0 16.499 * * [simplify]: Extracting #2: cost 6 inf + 0 16.499 * * [simplify]: Extracting #3: cost 4 inf + 2 16.499 * * [simplify]: Extracting #4: cost 0 inf + 290 16.500 * [simplify]: Simplified to (cos (/ K 2)) 16.500 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 1) (cos (/ K 2))) (* -2 J))) 16.500 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 16.500 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 16.500 * * [simplify]: iters left: 6 (13 enodes) 16.503 * * [simplify]: iters left: 5 (47 enodes) 16.510 * * [simplify]: iters left: 4 (67 enodes) 16.521 * * [simplify]: iters left: 3 (84 enodes) 16.542 * * [simplify]: iters left: 2 (89 enodes) 16.565 * * [simplify]: Extracting #0: cost 1 inf + 0 16.565 * * [simplify]: Extracting #1: cost 3 inf + 0 16.565 * * [simplify]: Extracting #2: cost 5 inf + 0 16.565 * * [simplify]: Extracting #3: cost 8 inf + 0 16.565 * * [simplify]: Extracting #4: cost 18 inf + 1 16.565 * * [simplify]: Extracting #5: cost 27 inf + 4 16.566 * * [simplify]: Extracting #6: cost 27 inf + 338 16.566 * * [simplify]: Extracting #7: cost 23 inf + 465 16.567 * * [simplify]: Extracting #8: cost 12 inf + 2056 16.568 * * [simplify]: Extracting #9: cost 1 inf + 4835 16.570 * * [simplify]: Extracting #10: cost 0 inf + 5195 16.571 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 16.571 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cos (/ K 2)))) (* -2 J))) 16.571 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 16.571 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 16.571 * * [simplify]: iters left: 6 (12 enodes) 16.575 * * [simplify]: iters left: 5 (44 enodes) 16.582 * * [simplify]: iters left: 4 (64 enodes) 16.592 * * [simplify]: iters left: 3 (81 enodes) 16.603 * * [simplify]: iters left: 2 (86 enodes) 16.621 * * [simplify]: Extracting #0: cost 1 inf + 0 16.621 * * [simplify]: Extracting #1: cost 3 inf + 0 16.621 * * [simplify]: Extracting #2: cost 6 inf + 0 16.621 * * [simplify]: Extracting #3: cost 16 inf + 1 16.621 * * [simplify]: Extracting #4: cost 25 inf + 4 16.621 * * [simplify]: Extracting #5: cost 26 inf + 255 16.622 * * [simplify]: Extracting #6: cost 21 inf + 465 16.623 * * [simplify]: Extracting #7: cost 7 inf + 2565 16.624 * * [simplify]: Extracting #8: cost 1 inf + 4035 16.626 * * [simplify]: Extracting #9: cost 0 inf + 4315 16.627 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 16.627 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cos (/ K 2)))) (* -2 J))) 16.627 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 16.628 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) (cos (/ K 2))))) (* -2 J)))> 16.628 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 16.628 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 16.628 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 16.628 * * [simplify]: iters left: 6 (10 enodes) 16.634 * * [simplify]: iters left: 5 (44 enodes) 16.642 * * [simplify]: iters left: 4 (83 enodes) 16.655 * * [simplify]: iters left: 3 (132 enodes) 16.683 * * [simplify]: iters left: 2 (186 enodes) 16.746 * * [simplify]: iters left: 1 (263 enodes) 16.822 * * [simplify]: Extracting #0: cost 1 inf + 0 16.822 * * [simplify]: Extracting #1: cost 23 inf + 0 16.822 * * [simplify]: Extracting #2: cost 44 inf + 89 16.823 * * [simplify]: Extracting #3: cost 21 inf + 2920 16.825 * * [simplify]: Extracting #4: cost 0 inf + 4598 16.827 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 16.827 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 16.827 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 16.827 * [simplify]: Simplifying (* -1 U) 16.827 * * [simplify]: iters left: 2 (3 enodes) 16.828 * * [simplify]: iters left: 1 (11 enodes) 16.830 * * [simplify]: Extracting #0: cost 1 inf + 0 16.830 * * [simplify]: Extracting #1: cost 4 inf + 0 16.830 * * [simplify]: Extracting #2: cost 0 inf + 84 16.830 * [simplify]: Simplified to (- U) 16.830 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 16.830 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 16.830 * [simplify]: Simplifying (* -1 U) 16.830 * * [simplify]: iters left: 2 (3 enodes) 16.831 * * [simplify]: iters left: 1 (11 enodes) 16.833 * * [simplify]: Extracting #0: cost 1 inf + 0 16.833 * * [simplify]: Extracting #1: cost 4 inf + 0 16.833 * * [simplify]: Extracting #2: cost 0 inf + 84 16.833 * [simplify]: Simplified to (- U) 16.833 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 16.833 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 16.833 * [simplify]: Simplifying (* 2 J) 16.833 * * [simplify]: iters left: 2 (3 enodes) 16.835 * * [simplify]: iters left: 1 (10 enodes) 16.836 * * [simplify]: Extracting #0: cost 1 inf + 0 16.836 * * [simplify]: Extracting #1: cost 4 inf + 0 16.836 * * [simplify]: Extracting #2: cost 2 inf + 2 16.836 * * [simplify]: Extracting #3: cost 0 inf + 86 16.836 * [simplify]: Simplified to (* 2 J) 16.837 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* 2 J))) (cos (/ K 2))) (* -2 J))) 16.837 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 16.837 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 16.837 * * [simplify]: iters left: 6 (8 enodes) 16.839 * * [simplify]: iters left: 5 (29 enodes) 16.845 * * [simplify]: iters left: 4 (37 enodes) 16.856 * * [simplify]: iters left: 3 (42 enodes) 16.867 * * [simplify]: Extracting #0: cost 1 inf + 0 16.867 * * [simplify]: Extracting #1: cost 8 inf + 0 16.867 * * [simplify]: Extracting #2: cost 11 inf + 2 16.867 * * [simplify]: Extracting #3: cost 13 inf + 44 16.867 * * [simplify]: Extracting #4: cost 9 inf + 130 16.868 * * [simplify]: Extracting #5: cost 1 inf + 1132 16.868 * * [simplify]: Extracting #6: cost 0 inf + 1316 16.869 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 16.869 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (cos (/ K 2))) (* -2 J))) 16.869 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 16.869 * [simplify]: Simplifying (* 2 (* (cos (* 1/2 K)) J)) 16.869 * * [simplify]: iters left: 6 (8 enodes) 16.874 * * [simplify]: iters left: 5 (29 enodes) 16.883 * * [simplify]: iters left: 4 (37 enodes) 16.894 * * [simplify]: iters left: 3 (42 enodes) 16.905 * * [simplify]: Extracting #0: cost 1 inf + 0 16.905 * * [simplify]: Extracting #1: cost 8 inf + 0 16.905 * * [simplify]: Extracting #2: cost 11 inf + 2 16.905 * * [simplify]: Extracting #3: cost 13 inf + 44 16.905 * * [simplify]: Extracting #4: cost 9 inf + 130 16.906 * * [simplify]: Extracting #5: cost 1 inf + 1132 16.906 * * [simplify]: Extracting #6: cost 0 inf + 1316 16.907 * [simplify]: Simplified to (* (* (cos (* K 1/2)) 2) J) 16.907 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (/ U (* (* (cos (* K 1/2)) 2) J))) (cos (/ K 2))) (* -2 J))) 16.907 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 16.907 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 16.907 * * [simplify]: iters left: 6 (13 enodes) 16.916 * * [simplify]: iters left: 5 (55 enodes) 16.928 * * [simplify]: iters left: 4 (92 enodes) 16.942 * * [simplify]: iters left: 3 (155 enodes) 16.979 * * [simplify]: iters left: 2 (238 enodes) 17.031 * * [simplify]: iters left: 1 (367 enodes) 17.221 * * [simplify]: Extracting #0: cost 1 inf + 0 17.221 * * [simplify]: Extracting #1: cost 33 inf + 0 17.222 * * [simplify]: Extracting #2: cost 65 inf + 129 17.223 * * [simplify]: Extracting #3: cost 50 inf + 2235 17.227 * * [simplify]: Extracting #4: cost 4 inf + 6690 17.229 * * [simplify]: Extracting #5: cost 0 inf + 7294 17.232 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 17.232 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (cos (/ K 2))) (* -2 J))) 17.232 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 17.232 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 17.232 * * [simplify]: iters left: 6 (9 enodes) 17.234 * * [simplify]: iters left: 5 (34 enodes) 17.240 * * [simplify]: iters left: 4 (56 enodes) 17.249 * * [simplify]: iters left: 3 (90 enodes) 17.264 * * [simplify]: iters left: 2 (114 enodes) 17.294 * * [simplify]: iters left: 1 (131 enodes) 17.323 * * [simplify]: Extracting #0: cost 1 inf + 0 17.323 * * [simplify]: Extracting #1: cost 22 inf + 0 17.323 * * [simplify]: Extracting #2: cost 37 inf + 3 17.323 * * [simplify]: Extracting #3: cost 31 inf + 380 17.323 * * [simplify]: Extracting #4: cost 17 inf + 1834 17.324 * * [simplify]: Extracting #5: cost 3 inf + 4117 17.325 * * [simplify]: Extracting #6: cost 0 inf + 4586 17.326 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 17.326 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 17.326 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 17.327 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 17.327 * * [simplify]: iters left: 6 (9 enodes) 17.329 * * [simplify]: iters left: 5 (34 enodes) 17.334 * * [simplify]: iters left: 4 (56 enodes) 17.343 * * [simplify]: iters left: 3 (90 enodes) 17.365 * * [simplify]: iters left: 2 (114 enodes) 17.396 * * [simplify]: iters left: 1 (131 enodes) 17.434 * * [simplify]: Extracting #0: cost 1 inf + 0 17.434 * * [simplify]: Extracting #1: cost 22 inf + 0 17.435 * * [simplify]: Extracting #2: cost 37 inf + 3 17.435 * * [simplify]: Extracting #3: cost 31 inf + 380 17.436 * * [simplify]: Extracting #4: cost 17 inf + 1834 17.438 * * [simplify]: Extracting #5: cost 3 inf + 4117 17.440 * * [simplify]: Extracting #6: cost 0 inf + 4586 17.442 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 17.442 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 17.442 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 17.442 * [simplify]: Simplifying 1 17.442 * * [simplify]: iters left: 0 (1 enodes) 17.444 * * [simplify]: Extracting #0: cost 1 inf + 0 17.444 * * [simplify]: Extracting #1: cost 0 inf + 1 17.444 * [simplify]: Simplified to 1 17.444 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* -2 J))) 17.444 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 17.444 * [simplify]: Simplifying (* 1/2 (/ U J)) 17.444 * * [simplify]: iters left: 4 (5 enodes) 17.447 * * [simplify]: iters left: 3 (18 enodes) 17.453 * * [simplify]: iters left: 2 (24 enodes) 17.460 * * [simplify]: iters left: 1 (28 enodes) 17.467 * * [simplify]: Extracting #0: cost 1 inf + 0 17.467 * * [simplify]: Extracting #1: cost 10 inf + 0 17.467 * * [simplify]: Extracting #2: cost 9 inf + 87 17.468 * * [simplify]: Extracting #3: cost 0 inf + 547 17.468 * [simplify]: Simplified to (* (/ U J) 1/2) 17.468 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 17.468 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 17.468 * [simplify]: Simplifying (* 1/2 (/ U J)) 17.468 * * [simplify]: iters left: 4 (5 enodes) 17.470 * * [simplify]: iters left: 3 (18 enodes) 17.472 * * [simplify]: iters left: 2 (24 enodes) 17.475 * * [simplify]: iters left: 1 (28 enodes) 17.479 * * [simplify]: Extracting #0: cost 1 inf + 0 17.479 * * [simplify]: Extracting #1: cost 10 inf + 0 17.480 * * [simplify]: Extracting #2: cost 9 inf + 87 17.480 * * [simplify]: Extracting #3: cost 0 inf + 547 17.480 * [simplify]: Simplified to (* (/ U J) 1/2) 17.480 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 17.480 * * * [progress]: adding candidates to table 18.779 * * [progress]: iteration 3 / 4 18.779 * * * [progress]: picking best candidate 18.848 * * * * [pick]: Picked # 18.848 * * * [progress]: localizing error 18.902 * * * [progress]: generating rewritten candidates 18.902 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 18.932 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 18.945 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 18.953 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 18.954 * * * [progress]: generating series expansions 18.954 * * * * [progress]: [ 1 / 4 ] generating series at (2) 18.954 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 18.954 * [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 18.954 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 18.954 * [taylor]: Taking taylor expansion of -2 in K 18.954 * [backup-simplify]: Simplify -2 into -2 18.954 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 18.954 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.954 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.954 * [taylor]: Taking taylor expansion of 1/2 in K 18.954 * [backup-simplify]: Simplify 1/2 into 1/2 18.954 * [taylor]: Taking taylor expansion of K in K 18.954 * [backup-simplify]: Simplify 0 into 0 18.955 * [backup-simplify]: Simplify 1 into 1 18.955 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.956 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.956 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 18.956 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 18.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.956 * [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 18.956 * [taylor]: Taking taylor expansion of (* 1 1) in K 18.956 * [taylor]: Taking taylor expansion of 1 in K 18.956 * [backup-simplify]: Simplify 1 into 1 18.956 * [taylor]: Taking taylor expansion of 1 in K 18.956 * [backup-simplify]: Simplify 1 into 1 18.956 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 18.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 18.956 * [taylor]: Taking taylor expansion of 1/2 in K 18.956 * [backup-simplify]: Simplify 1/2 into 1/2 18.956 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 18.956 * [taylor]: Taking taylor expansion of U in K 18.956 * [backup-simplify]: Simplify U into U 18.956 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 18.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.956 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.956 * [taylor]: Taking taylor expansion of 1/2 in K 18.956 * [backup-simplify]: Simplify 1/2 into 1/2 18.956 * [taylor]: Taking taylor expansion of K in K 18.956 * [backup-simplify]: Simplify 0 into 0 18.956 * [backup-simplify]: Simplify 1 into 1 18.956 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.957 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.957 * [taylor]: Taking taylor expansion of J in K 18.957 * [backup-simplify]: Simplify J into J 18.957 * [backup-simplify]: Simplify (* 1 J) into J 18.957 * [backup-simplify]: Simplify (/ U J) into (/ U J) 18.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 18.957 * [taylor]: Taking taylor expansion of 1/2 in K 18.957 * [backup-simplify]: Simplify 1/2 into 1/2 18.957 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 18.957 * [taylor]: Taking taylor expansion of U in K 18.957 * [backup-simplify]: Simplify U into U 18.957 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 18.957 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 18.957 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 18.957 * [taylor]: Taking taylor expansion of 1/2 in K 18.957 * [backup-simplify]: Simplify 1/2 into 1/2 18.957 * [taylor]: Taking taylor expansion of K in K 18.957 * [backup-simplify]: Simplify 0 into 0 18.957 * [backup-simplify]: Simplify 1 into 1 18.958 * [backup-simplify]: Simplify (* 1/2 0) into 0 18.958 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 18.958 * [taylor]: Taking taylor expansion of J in K 18.958 * [backup-simplify]: Simplify J into J 18.958 * [backup-simplify]: Simplify (* 1 J) into J 18.958 * [backup-simplify]: Simplify (/ U J) into (/ U J) 18.958 * [backup-simplify]: Simplify (* 1 1) into 1 18.958 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 18.958 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 18.958 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 18.959 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 18.959 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 18.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.959 * [backup-simplify]: Simplify (+ 0) into 0 18.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 18.960 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 18.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 18.960 * [backup-simplify]: Simplify (+ 0) into 0 18.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 18.961 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 18.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 18.961 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 18.961 * [backup-simplify]: Simplify (+ 0 0) into 0 18.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 18.962 * [taylor]: Taking taylor expansion of J in K 18.962 * [backup-simplify]: Simplify J into J 18.962 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 18.962 * [taylor]: Taking taylor expansion of -2 in J 18.962 * [backup-simplify]: Simplify -2 into -2 18.962 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 18.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.962 * [taylor]: Taking taylor expansion of 1/2 in J 18.962 * [backup-simplify]: Simplify 1/2 into 1/2 18.962 * [taylor]: Taking taylor expansion of K in J 18.962 * [backup-simplify]: Simplify K into K 18.962 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.962 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.962 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.962 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 18.962 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 18.962 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.962 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 18.962 * [taylor]: Taking taylor expansion of (* 1 1) in J 18.962 * [taylor]: Taking taylor expansion of 1 in J 18.962 * [backup-simplify]: Simplify 1 into 1 18.962 * [taylor]: Taking taylor expansion of 1 in J 18.962 * [backup-simplify]: Simplify 1 into 1 18.962 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 18.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 18.962 * [taylor]: Taking taylor expansion of 1/2 in J 18.962 * [backup-simplify]: Simplify 1/2 into 1/2 18.962 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 18.962 * [taylor]: Taking taylor expansion of U in J 18.962 * [backup-simplify]: Simplify U into U 18.962 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 18.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.962 * [taylor]: Taking taylor expansion of 1/2 in J 18.962 * [backup-simplify]: Simplify 1/2 into 1/2 18.962 * [taylor]: Taking taylor expansion of K in J 18.962 * [backup-simplify]: Simplify K into K 18.962 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.962 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.962 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.962 * [taylor]: Taking taylor expansion of J in J 18.962 * [backup-simplify]: Simplify 0 into 0 18.962 * [backup-simplify]: Simplify 1 into 1 18.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.962 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.963 * [backup-simplify]: Simplify (- 0) into 0 18.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.963 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 18.963 * [backup-simplify]: Simplify (+ 0) into 0 18.963 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.965 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.965 * [backup-simplify]: Simplify (- 0) into 0 18.965 * [backup-simplify]: Simplify (+ 0 0) into 0 18.965 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 18.965 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 18.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 18.965 * [taylor]: Taking taylor expansion of 1/2 in J 18.965 * [backup-simplify]: Simplify 1/2 into 1/2 18.965 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 18.965 * [taylor]: Taking taylor expansion of U in J 18.965 * [backup-simplify]: Simplify U into U 18.965 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 18.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.966 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.966 * [taylor]: Taking taylor expansion of 1/2 in J 18.966 * [backup-simplify]: Simplify 1/2 into 1/2 18.966 * [taylor]: Taking taylor expansion of K in J 18.966 * [backup-simplify]: Simplify K into K 18.966 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.966 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.966 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.966 * [taylor]: Taking taylor expansion of J in J 18.966 * [backup-simplify]: Simplify 0 into 0 18.966 * [backup-simplify]: Simplify 1 into 1 18.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.966 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.966 * [backup-simplify]: Simplify (- 0) into 0 18.966 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 18.966 * [backup-simplify]: Simplify (+ 0) into 0 18.967 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.968 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.968 * [backup-simplify]: Simplify (- 0) into 0 18.968 * [backup-simplify]: Simplify (+ 0 0) into 0 18.968 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 18.969 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 18.969 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 18.969 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 18.969 * [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))) 18.969 * [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))) 18.969 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 18.970 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 18.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.972 * [backup-simplify]: Simplify (- 0) into 0 18.973 * [backup-simplify]: Simplify (+ 0 0) into 0 18.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.974 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 18.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 18.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.976 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 18.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 18.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.978 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 18.978 * [backup-simplify]: Simplify (- 0) into 0 18.979 * [backup-simplify]: Simplify (+ 0 0) into 0 18.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 18.980 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 18.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 18.980 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 18.981 * [backup-simplify]: Simplify (+ 0 0) into 0 18.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 18.981 * [taylor]: Taking taylor expansion of J in J 18.981 * [backup-simplify]: Simplify 0 into 0 18.981 * [backup-simplify]: Simplify 1 into 1 18.981 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 18.981 * [taylor]: Taking taylor expansion of -2 in U 18.981 * [backup-simplify]: Simplify -2 into -2 18.981 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 18.981 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.981 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.981 * [taylor]: Taking taylor expansion of 1/2 in U 18.981 * [backup-simplify]: Simplify 1/2 into 1/2 18.981 * [taylor]: Taking taylor expansion of K in U 18.981 * [backup-simplify]: Simplify K into K 18.981 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.981 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.982 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.982 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 18.982 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.982 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.982 * [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 18.982 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.982 * [taylor]: Taking taylor expansion of 1 in U 18.982 * [backup-simplify]: Simplify 1 into 1 18.982 * [taylor]: Taking taylor expansion of 1 in U 18.982 * [backup-simplify]: Simplify 1 into 1 18.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.982 * [taylor]: Taking taylor expansion of 1/2 in U 18.982 * [backup-simplify]: Simplify 1/2 into 1/2 18.982 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.982 * [taylor]: Taking taylor expansion of U in U 18.982 * [backup-simplify]: Simplify 0 into 0 18.982 * [backup-simplify]: Simplify 1 into 1 18.982 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.982 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.982 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.982 * [taylor]: Taking taylor expansion of 1/2 in U 18.982 * [backup-simplify]: Simplify 1/2 into 1/2 18.982 * [taylor]: Taking taylor expansion of K in U 18.982 * [backup-simplify]: Simplify K into K 18.982 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.982 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.982 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.982 * [taylor]: Taking taylor expansion of J in U 18.982 * [backup-simplify]: Simplify J into J 18.983 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.983 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.983 * [backup-simplify]: Simplify (- 0) into 0 18.983 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.983 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.983 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.983 * [taylor]: Taking taylor expansion of 1/2 in U 18.983 * [backup-simplify]: Simplify 1/2 into 1/2 18.983 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.983 * [taylor]: Taking taylor expansion of U in U 18.983 * [backup-simplify]: Simplify 0 into 0 18.983 * [backup-simplify]: Simplify 1 into 1 18.983 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.983 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.984 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.984 * [taylor]: Taking taylor expansion of 1/2 in U 18.984 * [backup-simplify]: Simplify 1/2 into 1/2 18.984 * [taylor]: Taking taylor expansion of K in U 18.984 * [backup-simplify]: Simplify K into K 18.984 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.984 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.984 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.984 * [taylor]: Taking taylor expansion of J in U 18.984 * [backup-simplify]: Simplify J into J 18.984 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.984 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.984 * [backup-simplify]: Simplify (- 0) into 0 18.984 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.985 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.985 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.985 * [backup-simplify]: Simplify (* 1 1) into 1 18.985 * [backup-simplify]: Simplify (+ 1 0) into 1 18.986 * [backup-simplify]: Simplify (sqrt 1) into 1 18.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.987 * [backup-simplify]: Simplify (+ 0 0) into 0 18.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.987 * [taylor]: Taking taylor expansion of J in U 18.988 * [backup-simplify]: Simplify J into J 18.988 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 18.988 * [taylor]: Taking taylor expansion of -2 in U 18.988 * [backup-simplify]: Simplify -2 into -2 18.988 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 18.988 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.988 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.988 * [taylor]: Taking taylor expansion of 1/2 in U 18.988 * [backup-simplify]: Simplify 1/2 into 1/2 18.988 * [taylor]: Taking taylor expansion of K in U 18.988 * [backup-simplify]: Simplify K into K 18.988 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.988 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.988 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.988 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 18.988 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.988 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 18.988 * [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 18.988 * [taylor]: Taking taylor expansion of (* 1 1) in U 18.988 * [taylor]: Taking taylor expansion of 1 in U 18.988 * [backup-simplify]: Simplify 1 into 1 18.988 * [taylor]: Taking taylor expansion of 1 in U 18.988 * [backup-simplify]: Simplify 1 into 1 18.988 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 18.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.988 * [taylor]: Taking taylor expansion of 1/2 in U 18.988 * [backup-simplify]: Simplify 1/2 into 1/2 18.988 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.988 * [taylor]: Taking taylor expansion of U in U 18.989 * [backup-simplify]: Simplify 0 into 0 18.989 * [backup-simplify]: Simplify 1 into 1 18.989 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.989 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.989 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.989 * [taylor]: Taking taylor expansion of 1/2 in U 18.989 * [backup-simplify]: Simplify 1/2 into 1/2 18.989 * [taylor]: Taking taylor expansion of K in U 18.989 * [backup-simplify]: Simplify K into K 18.989 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.989 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.989 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.989 * [taylor]: Taking taylor expansion of J in U 18.989 * [backup-simplify]: Simplify J into J 18.989 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.989 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.989 * [backup-simplify]: Simplify (- 0) into 0 18.990 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.990 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.990 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 18.990 * [taylor]: Taking taylor expansion of 1/2 in U 18.990 * [backup-simplify]: Simplify 1/2 into 1/2 18.990 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 18.990 * [taylor]: Taking taylor expansion of U in U 18.990 * [backup-simplify]: Simplify 0 into 0 18.990 * [backup-simplify]: Simplify 1 into 1 18.990 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 18.990 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 18.990 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 18.990 * [taylor]: Taking taylor expansion of 1/2 in U 18.990 * [backup-simplify]: Simplify 1/2 into 1/2 18.990 * [taylor]: Taking taylor expansion of K in U 18.990 * [backup-simplify]: Simplify K into K 18.990 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.990 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.990 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.990 * [taylor]: Taking taylor expansion of J in U 18.990 * [backup-simplify]: Simplify J into J 18.991 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.991 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.991 * [backup-simplify]: Simplify (- 0) into 0 18.991 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.991 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.991 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 18.992 * [backup-simplify]: Simplify (* 1 1) into 1 18.992 * [backup-simplify]: Simplify (+ 1 0) into 1 18.992 * [backup-simplify]: Simplify (sqrt 1) into 1 18.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.994 * [backup-simplify]: Simplify (+ 0 0) into 0 18.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.994 * [taylor]: Taking taylor expansion of J in U 18.994 * [backup-simplify]: Simplify J into J 18.994 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 18.995 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 18.995 * [backup-simplify]: Simplify (- 0) into 0 18.995 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 18.995 * [backup-simplify]: Simplify (* 1 J) into J 18.995 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 18.995 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 18.995 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 18.995 * [taylor]: Taking taylor expansion of -2 in J 18.995 * [backup-simplify]: Simplify -2 into -2 18.995 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 18.995 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 18.996 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 18.996 * [taylor]: Taking taylor expansion of 1/2 in J 18.996 * [backup-simplify]: Simplify 1/2 into 1/2 18.996 * [taylor]: Taking taylor expansion of K in J 18.996 * [backup-simplify]: Simplify K into K 18.996 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 18.996 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 18.996 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 18.996 * [taylor]: Taking taylor expansion of J in J 18.996 * [backup-simplify]: Simplify 0 into 0 18.996 * [backup-simplify]: Simplify 1 into 1 18.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 18.997 * [backup-simplify]: Simplify (+ 0) into 0 18.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 18.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 18.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.999 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 18.999 * [backup-simplify]: Simplify (- 0) into 0 19.000 * [backup-simplify]: Simplify (+ 0 0) into 0 19.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.000 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 19.001 * [taylor]: Taking taylor expansion of 0 in J 19.001 * [backup-simplify]: Simplify 0 into 0 19.001 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.001 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.001 * [backup-simplify]: Simplify (- 0) into 0 19.001 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.001 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.002 * [backup-simplify]: Simplify (* -2 0) into 0 19.002 * [taylor]: Taking taylor expansion of 0 in K 19.002 * [backup-simplify]: Simplify 0 into 0 19.002 * [backup-simplify]: Simplify 0 into 0 19.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.003 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.003 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.003 * [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))) 19.004 * [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)))) 19.005 * [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))) 19.006 * [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))) 19.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.008 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.010 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.010 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.011 * [backup-simplify]: Simplify (- 0) into 0 19.011 * [backup-simplify]: Simplify (+ 0 0) into 0 19.012 * [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))) 19.012 * [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)))) 19.012 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 19.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 19.012 * [taylor]: Taking taylor expansion of 1/4 in J 19.012 * [backup-simplify]: Simplify 1/4 into 1/4 19.012 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 19.012 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.012 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.012 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.012 * [taylor]: Taking taylor expansion of 1/2 in J 19.012 * [backup-simplify]: Simplify 1/2 into 1/2 19.013 * [taylor]: Taking taylor expansion of K in J 19.013 * [backup-simplify]: Simplify K into K 19.013 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.013 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.013 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.013 * [taylor]: Taking taylor expansion of J in J 19.013 * [backup-simplify]: Simplify 0 into 0 19.013 * [backup-simplify]: Simplify 1 into 1 19.013 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.013 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.013 * [backup-simplify]: Simplify (- 0) into 0 19.013 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.014 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.014 * [backup-simplify]: Simplify (+ 0) into 0 19.014 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.016 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.016 * [backup-simplify]: Simplify (- 0) into 0 19.017 * [backup-simplify]: Simplify (+ 0 0) into 0 19.017 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.017 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 19.018 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 19.018 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 19.018 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 19.018 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 19.018 * [taylor]: Taking taylor expansion of 1/4 in K 19.018 * [backup-simplify]: Simplify 1/4 into 1/4 19.018 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 19.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.018 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.018 * [taylor]: Taking taylor expansion of 1/2 in K 19.018 * [backup-simplify]: Simplify 1/2 into 1/2 19.018 * [taylor]: Taking taylor expansion of K in K 19.018 * [backup-simplify]: Simplify 0 into 0 19.018 * [backup-simplify]: Simplify 1 into 1 19.018 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.019 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.019 * [backup-simplify]: Simplify (/ 1 1) into 1 19.020 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 19.020 * [backup-simplify]: Simplify (- 1/4) into -1/4 19.020 * [backup-simplify]: Simplify -1/4 into -1/4 19.020 * [taylor]: Taking taylor expansion of 0 in K 19.020 * [backup-simplify]: Simplify 0 into 0 19.020 * [backup-simplify]: Simplify 0 into 0 19.021 * [backup-simplify]: Simplify (+ 0) into 0 19.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.023 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.023 * [backup-simplify]: Simplify (- 0) into 0 19.024 * [backup-simplify]: Simplify (+ 0 0) into 0 19.024 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.025 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 19.025 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 19.025 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 19.025 * [taylor]: Taking taylor expansion of 2 in K 19.025 * [backup-simplify]: Simplify 2 into 2 19.025 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.025 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.025 * [taylor]: Taking taylor expansion of 1/2 in K 19.025 * [backup-simplify]: Simplify 1/2 into 1/2 19.025 * [taylor]: Taking taylor expansion of K in K 19.025 * [backup-simplify]: Simplify 0 into 0 19.025 * [backup-simplify]: Simplify 1 into 1 19.030 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.032 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.032 * [backup-simplify]: Simplify (* 2 1) into 2 19.032 * [backup-simplify]: Simplify (- 2) into -2 19.032 * [backup-simplify]: Simplify -2 into -2 19.033 * [backup-simplify]: Simplify 0 into 0 19.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.034 * [backup-simplify]: Simplify (+ 0) into 0 19.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.037 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.037 * [backup-simplify]: Simplify (- 0) into 0 19.037 * [backup-simplify]: Simplify (+ 0 0) into 0 19.037 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.038 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.039 * [backup-simplify]: Simplify (+ 0) into 0 19.039 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.042 * [backup-simplify]: Simplify (- 0) into 0 19.042 * [backup-simplify]: Simplify (+ 0 0) into 0 19.042 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.042 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.043 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 19.044 * [backup-simplify]: Simplify (+ 0 0) into 0 19.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 19.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 19.046 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 19.050 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.050 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.051 * [backup-simplify]: Simplify (- 0) into 0 19.051 * [backup-simplify]: Simplify (+ 0 0) into 0 19.051 * [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 19.052 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 19.052 * [taylor]: Taking taylor expansion of 0 in J 19.052 * [backup-simplify]: Simplify 0 into 0 19.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.054 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.054 * [backup-simplify]: Simplify (- 0) into 0 19.055 * [backup-simplify]: Simplify (+ 0 0) into 0 19.055 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 19.056 * [backup-simplify]: Simplify (- 0) into 0 19.056 * [taylor]: Taking taylor expansion of 0 in K 19.056 * [backup-simplify]: Simplify 0 into 0 19.056 * [backup-simplify]: Simplify 0 into 0 19.056 * [taylor]: Taking taylor expansion of 0 in K 19.056 * [backup-simplify]: Simplify 0 into 0 19.056 * [backup-simplify]: Simplify 0 into 0 19.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.057 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.058 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.059 * [backup-simplify]: Simplify (- 0) into 0 19.059 * [backup-simplify]: Simplify (+ 0 0) into 0 19.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.060 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 19.060 * [taylor]: Taking taylor expansion of 0 in K 19.060 * [backup-simplify]: Simplify 0 into 0 19.060 * [backup-simplify]: Simplify 0 into 0 19.060 * [backup-simplify]: Simplify (+ 0) into 0 19.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 19.061 * [backup-simplify]: Simplify (- 0) into 0 19.061 * [backup-simplify]: Simplify 0 into 0 19.061 * [backup-simplify]: Simplify 0 into 0 19.061 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 19.062 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 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)) 19.062 * [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 19.062 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 19.062 * [taylor]: Taking taylor expansion of -2 in K 19.062 * [backup-simplify]: Simplify -2 into -2 19.062 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 19.062 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 19.062 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.062 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.062 * [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 19.062 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.062 * [taylor]: Taking taylor expansion of 1 in K 19.062 * [backup-simplify]: Simplify 1 into 1 19.062 * [taylor]: Taking taylor expansion of 1 in K 19.062 * [backup-simplify]: Simplify 1 into 1 19.062 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.062 * [taylor]: Taking taylor expansion of 1/2 in K 19.062 * [backup-simplify]: Simplify 1/2 into 1/2 19.062 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.062 * [taylor]: Taking taylor expansion of J in K 19.062 * [backup-simplify]: Simplify J into J 19.062 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.062 * [taylor]: Taking taylor expansion of U in K 19.062 * [backup-simplify]: Simplify U into U 19.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.062 * [taylor]: Taking taylor expansion of 1/2 in K 19.062 * [backup-simplify]: Simplify 1/2 into 1/2 19.062 * [taylor]: Taking taylor expansion of K in K 19.062 * [backup-simplify]: Simplify 0 into 0 19.062 * [backup-simplify]: Simplify 1 into 1 19.062 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.063 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.063 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.063 * [taylor]: Taking taylor expansion of 1/2 in K 19.063 * [backup-simplify]: Simplify 1/2 into 1/2 19.063 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.063 * [taylor]: Taking taylor expansion of J in K 19.063 * [backup-simplify]: Simplify J into J 19.063 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.063 * [taylor]: Taking taylor expansion of U in K 19.063 * [backup-simplify]: Simplify U into U 19.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.063 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.063 * [taylor]: Taking taylor expansion of 1/2 in K 19.063 * [backup-simplify]: Simplify 1/2 into 1/2 19.063 * [taylor]: Taking taylor expansion of K in K 19.063 * [backup-simplify]: Simplify 0 into 0 19.063 * [backup-simplify]: Simplify 1 into 1 19.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.063 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.063 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.064 * [backup-simplify]: Simplify (* 1 1) into 1 19.064 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.064 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.064 * [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)))) 19.064 * [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) 19.065 * [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)) 19.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.065 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.065 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.066 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.066 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.067 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 19.067 * [backup-simplify]: Simplify (+ 0 0) into 0 19.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 19.067 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.067 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.067 * [taylor]: Taking taylor expansion of 1/2 in K 19.067 * [backup-simplify]: Simplify 1/2 into 1/2 19.067 * [taylor]: Taking taylor expansion of K in K 19.067 * [backup-simplify]: Simplify 0 into 0 19.067 * [backup-simplify]: Simplify 1 into 1 19.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.067 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.068 * [taylor]: Taking taylor expansion of J in K 19.068 * [backup-simplify]: Simplify J into J 19.068 * [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))) 19.068 * [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)) 19.068 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 19.068 * [taylor]: Taking taylor expansion of -2 in J 19.068 * [backup-simplify]: Simplify -2 into -2 19.068 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 19.068 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 19.068 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.068 * [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 19.068 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.068 * [taylor]: Taking taylor expansion of 1 in J 19.068 * [backup-simplify]: Simplify 1 into 1 19.068 * [taylor]: Taking taylor expansion of 1 in J 19.068 * [backup-simplify]: Simplify 1 into 1 19.068 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.068 * [taylor]: Taking taylor expansion of 1/2 in J 19.068 * [backup-simplify]: Simplify 1/2 into 1/2 19.068 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.068 * [taylor]: Taking taylor expansion of J in J 19.068 * [backup-simplify]: Simplify 0 into 0 19.068 * [backup-simplify]: Simplify 1 into 1 19.068 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.068 * [taylor]: Taking taylor expansion of U in J 19.068 * [backup-simplify]: Simplify U into U 19.069 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.069 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.069 * [taylor]: Taking taylor expansion of 1/2 in J 19.069 * [backup-simplify]: Simplify 1/2 into 1/2 19.069 * [taylor]: Taking taylor expansion of K in J 19.069 * [backup-simplify]: Simplify K into K 19.069 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.069 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.069 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.069 * [backup-simplify]: Simplify (- 0) into 0 19.069 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.069 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.069 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.069 * [taylor]: Taking taylor expansion of 1/2 in J 19.069 * [backup-simplify]: Simplify 1/2 into 1/2 19.069 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.069 * [taylor]: Taking taylor expansion of J in J 19.069 * [backup-simplify]: Simplify 0 into 0 19.069 * [backup-simplify]: Simplify 1 into 1 19.069 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.069 * [taylor]: Taking taylor expansion of U in J 19.069 * [backup-simplify]: Simplify U into U 19.069 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.069 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.069 * [taylor]: Taking taylor expansion of 1/2 in J 19.069 * [backup-simplify]: Simplify 1/2 into 1/2 19.069 * [taylor]: Taking taylor expansion of K in J 19.070 * [backup-simplify]: Simplify K into K 19.070 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.070 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.070 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.070 * [backup-simplify]: Simplify (- 0) into 0 19.070 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.070 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.070 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.070 * [backup-simplify]: Simplify (* 1 1) into 1 19.071 * [backup-simplify]: Simplify (+ 1 0) into 1 19.071 * [backup-simplify]: Simplify (sqrt 1) into 1 19.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.071 * [backup-simplify]: Simplify (+ 0 0) into 0 19.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.072 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.072 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.072 * [taylor]: Taking taylor expansion of 1/2 in J 19.072 * [backup-simplify]: Simplify 1/2 into 1/2 19.072 * [taylor]: Taking taylor expansion of K in J 19.072 * [backup-simplify]: Simplify K into K 19.072 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.072 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.072 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.072 * [taylor]: Taking taylor expansion of J in J 19.072 * [backup-simplify]: Simplify 0 into 0 19.072 * [backup-simplify]: Simplify 1 into 1 19.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.072 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.073 * [backup-simplify]: Simplify (- 0) into 0 19.073 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.073 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 19.073 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.073 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 19.073 * [taylor]: Taking taylor expansion of -2 in U 19.073 * [backup-simplify]: Simplify -2 into -2 19.073 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 19.073 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 19.073 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.073 * [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 19.073 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.073 * [taylor]: Taking taylor expansion of 1 in U 19.073 * [backup-simplify]: Simplify 1 into 1 19.073 * [taylor]: Taking taylor expansion of 1 in U 19.073 * [backup-simplify]: Simplify 1 into 1 19.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.073 * [taylor]: Taking taylor expansion of 1/2 in U 19.073 * [backup-simplify]: Simplify 1/2 into 1/2 19.073 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.073 * [taylor]: Taking taylor expansion of J in U 19.073 * [backup-simplify]: Simplify J into J 19.073 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.073 * [taylor]: Taking taylor expansion of U in U 19.073 * [backup-simplify]: Simplify 0 into 0 19.073 * [backup-simplify]: Simplify 1 into 1 19.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.073 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.073 * [taylor]: Taking taylor expansion of 1/2 in U 19.073 * [backup-simplify]: Simplify 1/2 into 1/2 19.073 * [taylor]: Taking taylor expansion of K in U 19.073 * [backup-simplify]: Simplify K into K 19.073 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.073 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.073 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.073 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.073 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.074 * [backup-simplify]: Simplify (- 0) into 0 19.074 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.074 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.074 * [backup-simplify]: Simplify (+ 0) into 0 19.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.075 * [backup-simplify]: Simplify (- 0) into 0 19.076 * [backup-simplify]: Simplify (+ 0 0) into 0 19.076 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.076 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.076 * [taylor]: Taking taylor expansion of 1/2 in U 19.076 * [backup-simplify]: Simplify 1/2 into 1/2 19.076 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.076 * [taylor]: Taking taylor expansion of J in U 19.076 * [backup-simplify]: Simplify J into J 19.076 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.076 * [taylor]: Taking taylor expansion of U in U 19.076 * [backup-simplify]: Simplify 0 into 0 19.076 * [backup-simplify]: Simplify 1 into 1 19.076 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.076 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.076 * [taylor]: Taking taylor expansion of 1/2 in U 19.076 * [backup-simplify]: Simplify 1/2 into 1/2 19.076 * [taylor]: Taking taylor expansion of K in U 19.076 * [backup-simplify]: Simplify K into K 19.076 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.076 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.076 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.076 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.076 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.077 * [backup-simplify]: Simplify (- 0) into 0 19.077 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.077 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.077 * [backup-simplify]: Simplify (+ 0) into 0 19.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.079 * [backup-simplify]: Simplify (- 0) into 0 19.079 * [backup-simplify]: Simplify (+ 0 0) into 0 19.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.080 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.080 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.080 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.080 * [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))) 19.080 * [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))) 19.080 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.084 * [backup-simplify]: Simplify (- 0) into 0 19.084 * [backup-simplify]: Simplify (+ 0 0) into 0 19.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.085 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.088 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.089 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.090 * [backup-simplify]: Simplify (- 0) into 0 19.090 * [backup-simplify]: Simplify (+ 0 0) into 0 19.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.091 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.092 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.092 * [backup-simplify]: Simplify (+ 0 0) into 0 19.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.093 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.093 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.093 * [taylor]: Taking taylor expansion of 1/2 in U 19.093 * [backup-simplify]: Simplify 1/2 into 1/2 19.093 * [taylor]: Taking taylor expansion of K in U 19.093 * [backup-simplify]: Simplify K into K 19.093 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.093 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.093 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.093 * [taylor]: Taking taylor expansion of J in U 19.093 * [backup-simplify]: Simplify J into J 19.093 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.093 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.094 * [backup-simplify]: Simplify (- 0) into 0 19.094 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.094 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 19.094 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 19.094 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 19.094 * [taylor]: Taking taylor expansion of -2 in U 19.094 * [backup-simplify]: Simplify -2 into -2 19.094 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 19.094 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 19.094 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.094 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.094 * [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 19.094 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.094 * [taylor]: Taking taylor expansion of 1 in U 19.094 * [backup-simplify]: Simplify 1 into 1 19.094 * [taylor]: Taking taylor expansion of 1 in U 19.094 * [backup-simplify]: Simplify 1 into 1 19.094 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.094 * [taylor]: Taking taylor expansion of 1/2 in U 19.094 * [backup-simplify]: Simplify 1/2 into 1/2 19.094 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.095 * [taylor]: Taking taylor expansion of J in U 19.095 * [backup-simplify]: Simplify J into J 19.095 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.095 * [taylor]: Taking taylor expansion of U in U 19.095 * [backup-simplify]: Simplify 0 into 0 19.095 * [backup-simplify]: Simplify 1 into 1 19.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.095 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.095 * [taylor]: Taking taylor expansion of 1/2 in U 19.095 * [backup-simplify]: Simplify 1/2 into 1/2 19.095 * [taylor]: Taking taylor expansion of K in U 19.095 * [backup-simplify]: Simplify K into K 19.095 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.095 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.095 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.095 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.095 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.096 * [backup-simplify]: Simplify (- 0) into 0 19.096 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.096 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.096 * [backup-simplify]: Simplify (+ 0) into 0 19.097 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.097 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.098 * [backup-simplify]: Simplify (- 0) into 0 19.099 * [backup-simplify]: Simplify (+ 0 0) into 0 19.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.099 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.099 * [taylor]: Taking taylor expansion of 1/2 in U 19.099 * [backup-simplify]: Simplify 1/2 into 1/2 19.099 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.099 * [taylor]: Taking taylor expansion of J in U 19.099 * [backup-simplify]: Simplify J into J 19.099 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.099 * [taylor]: Taking taylor expansion of U in U 19.099 * [backup-simplify]: Simplify 0 into 0 19.100 * [backup-simplify]: Simplify 1 into 1 19.100 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.100 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.100 * [taylor]: Taking taylor expansion of 1/2 in U 19.100 * [backup-simplify]: Simplify 1/2 into 1/2 19.100 * [taylor]: Taking taylor expansion of K in U 19.100 * [backup-simplify]: Simplify K into K 19.100 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.100 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.100 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.100 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.100 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.100 * [backup-simplify]: Simplify (- 0) into 0 19.100 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.101 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.101 * [backup-simplify]: Simplify (+ 0) into 0 19.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.103 * [backup-simplify]: Simplify (- 0) into 0 19.104 * [backup-simplify]: Simplify (+ 0 0) into 0 19.104 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.104 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.104 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.104 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.105 * [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))) 19.105 * [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))) 19.105 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.109 * [backup-simplify]: Simplify (- 0) into 0 19.109 * [backup-simplify]: Simplify (+ 0 0) into 0 19.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.111 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.113 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.114 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.114 * [backup-simplify]: Simplify (- 0) into 0 19.115 * [backup-simplify]: Simplify (+ 0 0) into 0 19.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.115 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.116 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.116 * [backup-simplify]: Simplify (+ 0 0) into 0 19.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.116 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.116 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.116 * [taylor]: Taking taylor expansion of 1/2 in U 19.116 * [backup-simplify]: Simplify 1/2 into 1/2 19.116 * [taylor]: Taking taylor expansion of K in U 19.116 * [backup-simplify]: Simplify K into K 19.116 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.116 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.116 * [taylor]: Taking taylor expansion of J in U 19.117 * [backup-simplify]: Simplify J into J 19.117 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.117 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.117 * [backup-simplify]: Simplify (- 0) into 0 19.117 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.117 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 19.117 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 19.117 * [backup-simplify]: Simplify (* -2 1/2) into -1 19.117 * [taylor]: Taking taylor expansion of -1 in J 19.117 * [backup-simplify]: Simplify -1 into -1 19.118 * [backup-simplify]: Simplify (+ 0) into 0 19.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.119 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.119 * [backup-simplify]: Simplify (- 0) into 0 19.119 * [backup-simplify]: Simplify (+ 0 0) into 0 19.119 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 19.120 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 19.120 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 19.120 * [taylor]: Taking taylor expansion of 0 in J 19.120 * [backup-simplify]: Simplify 0 into 0 19.120 * [taylor]: Taking taylor expansion of -1 in K 19.120 * [backup-simplify]: Simplify -1 into -1 19.120 * [backup-simplify]: Simplify -1 into -1 19.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.122 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.122 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.122 * [backup-simplify]: Simplify (- 0) into 0 19.122 * [backup-simplify]: Simplify (+ 0 0) into 0 19.123 * [backup-simplify]: Simplify (* 1 1) into 1 19.123 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.125 * [backup-simplify]: Simplify (- 0) into 0 19.125 * [backup-simplify]: Simplify (+ 0 0) into 0 19.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.127 * [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 19.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.128 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.130 * [backup-simplify]: Simplify (- 0) into 0 19.130 * [backup-simplify]: Simplify (+ 0 0) into 0 19.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.131 * [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 19.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.132 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 19.132 * [backup-simplify]: Simplify (+ 1 0) into 1 19.133 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 19.133 * [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) 19.134 * [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)) 19.134 * [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)))) 19.134 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 19.134 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 19.134 * [taylor]: Taking taylor expansion of 2 in J 19.134 * [backup-simplify]: Simplify 2 into 2 19.134 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 19.134 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 19.134 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.134 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.134 * [taylor]: Taking taylor expansion of 1/2 in J 19.134 * [backup-simplify]: Simplify 1/2 into 1/2 19.134 * [taylor]: Taking taylor expansion of K in J 19.134 * [backup-simplify]: Simplify K into K 19.134 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.134 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.134 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.134 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.134 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.135 * [backup-simplify]: Simplify (- 0) into 0 19.135 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.135 * [taylor]: Taking taylor expansion of (pow J 2) in J 19.135 * [taylor]: Taking taylor expansion of J in J 19.135 * [backup-simplify]: Simplify 0 into 0 19.135 * [backup-simplify]: Simplify 1 into 1 19.135 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 19.135 * [backup-simplify]: Simplify (* 1 1) into 1 19.135 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 19.136 * [backup-simplify]: Simplify (+ 0) into 0 19.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.137 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.137 * [backup-simplify]: Simplify (- 0) into 0 19.137 * [backup-simplify]: Simplify (+ 0 0) into 0 19.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 19.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 19.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 19.139 * [backup-simplify]: Simplify (- 0) into 0 19.139 * [taylor]: Taking taylor expansion of 0 in K 19.139 * [backup-simplify]: Simplify 0 into 0 19.139 * [backup-simplify]: Simplify 0 into 0 19.139 * [taylor]: Taking taylor expansion of 0 in K 19.139 * [backup-simplify]: Simplify 0 into 0 19.139 * [backup-simplify]: Simplify 0 into 0 19.139 * [taylor]: Taking taylor expansion of 0 in K 19.139 * [backup-simplify]: Simplify 0 into 0 19.139 * [backup-simplify]: Simplify 0 into 0 19.139 * [backup-simplify]: Simplify 0 into 0 19.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.140 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.140 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.146 * [backup-simplify]: Simplify (- 0) into 0 19.146 * [backup-simplify]: Simplify (+ 0 0) into 0 19.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.148 * [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 19.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.149 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.150 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.150 * [backup-simplify]: Simplify (- 0) into 0 19.150 * [backup-simplify]: Simplify (+ 0 0) into 0 19.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 19.151 * [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 19.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 19.153 * [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 19.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.154 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.155 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.155 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.155 * [backup-simplify]: Simplify (- 0) into 0 19.156 * [backup-simplify]: Simplify (+ 0 0) into 0 19.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 19.157 * [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 19.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 19.159 * [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 19.159 * [backup-simplify]: Simplify (+ 0 0) into 0 19.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.159 * [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 19.160 * [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 19.160 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 19.160 * [taylor]: Taking taylor expansion of 0 in J 19.160 * [backup-simplify]: Simplify 0 into 0 19.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.162 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.163 * [backup-simplify]: Simplify (- 0) into 0 19.163 * [backup-simplify]: Simplify (+ 0 0) into 0 19.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 19.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 19.165 * [backup-simplify]: Simplify (- 0) into 0 19.165 * [taylor]: Taking taylor expansion of 0 in K 19.165 * [backup-simplify]: Simplify 0 into 0 19.165 * [backup-simplify]: Simplify 0 into 0 19.165 * [taylor]: Taking taylor expansion of 0 in K 19.165 * [backup-simplify]: Simplify 0 into 0 19.165 * [backup-simplify]: Simplify 0 into 0 19.166 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 19.166 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 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)) 19.166 * [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 19.166 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 19.166 * [taylor]: Taking taylor expansion of 2 in K 19.166 * [backup-simplify]: Simplify 2 into 2 19.166 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 19.166 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 19.166 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.166 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.166 * [taylor]: Taking taylor expansion of -1/2 in K 19.166 * [backup-simplify]: Simplify -1/2 into -1/2 19.166 * [taylor]: Taking taylor expansion of K in K 19.166 * [backup-simplify]: Simplify 0 into 0 19.166 * [backup-simplify]: Simplify 1 into 1 19.166 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.166 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.166 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.166 * [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 19.167 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.167 * [taylor]: Taking taylor expansion of 1 in K 19.167 * [backup-simplify]: Simplify 1 into 1 19.167 * [taylor]: Taking taylor expansion of 1 in K 19.167 * [backup-simplify]: Simplify 1 into 1 19.167 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.167 * [taylor]: Taking taylor expansion of 1/2 in K 19.167 * [backup-simplify]: Simplify 1/2 into 1/2 19.167 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.167 * [taylor]: Taking taylor expansion of J in K 19.167 * [backup-simplify]: Simplify J into J 19.167 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.167 * [taylor]: Taking taylor expansion of -1/2 in K 19.167 * [backup-simplify]: Simplify -1/2 into -1/2 19.167 * [taylor]: Taking taylor expansion of K in K 19.167 * [backup-simplify]: Simplify 0 into 0 19.167 * [backup-simplify]: Simplify 1 into 1 19.167 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.167 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.167 * [taylor]: Taking taylor expansion of U in K 19.167 * [backup-simplify]: Simplify U into U 19.167 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.167 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.167 * [taylor]: Taking taylor expansion of 1/2 in K 19.167 * [backup-simplify]: Simplify 1/2 into 1/2 19.167 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.167 * [taylor]: Taking taylor expansion of J in K 19.167 * [backup-simplify]: Simplify J into J 19.167 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.167 * [taylor]: Taking taylor expansion of -1/2 in K 19.167 * [backup-simplify]: Simplify -1/2 into -1/2 19.167 * [taylor]: Taking taylor expansion of K in K 19.167 * [backup-simplify]: Simplify 0 into 0 19.168 * [backup-simplify]: Simplify 1 into 1 19.168 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.168 * [taylor]: Taking taylor expansion of U in K 19.168 * [backup-simplify]: Simplify U into U 19.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.168 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.168 * [backup-simplify]: Simplify (* 1 1) into 1 19.168 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.169 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.169 * [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)))) 19.169 * [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))))) 19.169 * [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)))))) 19.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.170 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.171 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.171 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 19.171 * [backup-simplify]: Simplify (+ 0 0) into 0 19.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 19.172 * [taylor]: Taking taylor expansion of J in K 19.172 * [backup-simplify]: Simplify J into J 19.172 * [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))))))) 19.172 * [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))))))) 19.172 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 19.172 * [taylor]: Taking taylor expansion of 2 in J 19.172 * [backup-simplify]: Simplify 2 into 2 19.172 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 19.172 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 19.172 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.172 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.172 * [taylor]: Taking taylor expansion of -1/2 in J 19.172 * [backup-simplify]: Simplify -1/2 into -1/2 19.172 * [taylor]: Taking taylor expansion of K in J 19.172 * [backup-simplify]: Simplify K into K 19.172 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.172 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.172 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.172 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.172 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.173 * [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 19.173 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.173 * [taylor]: Taking taylor expansion of 1 in J 19.173 * [backup-simplify]: Simplify 1 into 1 19.173 * [taylor]: Taking taylor expansion of 1 in J 19.173 * [backup-simplify]: Simplify 1 into 1 19.173 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.173 * [taylor]: Taking taylor expansion of 1/2 in J 19.173 * [backup-simplify]: Simplify 1/2 into 1/2 19.173 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.173 * [taylor]: Taking taylor expansion of J in J 19.173 * [backup-simplify]: Simplify 0 into 0 19.173 * [backup-simplify]: Simplify 1 into 1 19.173 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.173 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.173 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.173 * [taylor]: Taking taylor expansion of -1/2 in J 19.173 * [backup-simplify]: Simplify -1/2 into -1/2 19.173 * [taylor]: Taking taylor expansion of K in J 19.173 * [backup-simplify]: Simplify K into K 19.173 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.173 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.173 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.173 * [taylor]: Taking taylor expansion of U in J 19.173 * [backup-simplify]: Simplify U into U 19.173 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.173 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.173 * [backup-simplify]: Simplify (- 0) into 0 19.173 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.173 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.174 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.174 * [taylor]: Taking taylor expansion of 1/2 in J 19.174 * [backup-simplify]: Simplify 1/2 into 1/2 19.174 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.174 * [taylor]: Taking taylor expansion of J in J 19.174 * [backup-simplify]: Simplify 0 into 0 19.174 * [backup-simplify]: Simplify 1 into 1 19.174 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.174 * [taylor]: Taking taylor expansion of -1/2 in J 19.174 * [backup-simplify]: Simplify -1/2 into -1/2 19.174 * [taylor]: Taking taylor expansion of K in J 19.174 * [backup-simplify]: Simplify K into K 19.174 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.174 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.174 * [taylor]: Taking taylor expansion of U in J 19.174 * [backup-simplify]: Simplify U into U 19.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.174 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.174 * [backup-simplify]: Simplify (- 0) into 0 19.174 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.174 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.175 * [backup-simplify]: Simplify (* 1 1) into 1 19.175 * [backup-simplify]: Simplify (+ 1 0) into 1 19.175 * [backup-simplify]: Simplify (sqrt 1) into 1 19.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.176 * [backup-simplify]: Simplify (+ 0 0) into 0 19.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.176 * [taylor]: Taking taylor expansion of J in J 19.176 * [backup-simplify]: Simplify 0 into 0 19.176 * [backup-simplify]: Simplify 1 into 1 19.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.176 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.177 * [backup-simplify]: Simplify (- 0) into 0 19.177 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.177 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.177 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 19.177 * [taylor]: Taking taylor expansion of 2 in U 19.177 * [backup-simplify]: Simplify 2 into 2 19.177 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 19.177 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.177 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.177 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.177 * [taylor]: Taking taylor expansion of -1/2 in U 19.177 * [backup-simplify]: Simplify -1/2 into -1/2 19.177 * [taylor]: Taking taylor expansion of K in U 19.177 * [backup-simplify]: Simplify K into K 19.177 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.177 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.177 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.177 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.177 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.177 * [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 19.177 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.177 * [taylor]: Taking taylor expansion of 1 in U 19.177 * [backup-simplify]: Simplify 1 into 1 19.177 * [taylor]: Taking taylor expansion of 1 in U 19.177 * [backup-simplify]: Simplify 1 into 1 19.177 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.177 * [taylor]: Taking taylor expansion of 1/2 in U 19.177 * [backup-simplify]: Simplify 1/2 into 1/2 19.177 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.177 * [taylor]: Taking taylor expansion of J in U 19.177 * [backup-simplify]: Simplify J into J 19.177 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.177 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.177 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.177 * [taylor]: Taking taylor expansion of -1/2 in U 19.177 * [backup-simplify]: Simplify -1/2 into -1/2 19.177 * [taylor]: Taking taylor expansion of K in U 19.177 * [backup-simplify]: Simplify K into K 19.178 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.178 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.178 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.178 * [taylor]: Taking taylor expansion of U in U 19.178 * [backup-simplify]: Simplify 0 into 0 19.178 * [backup-simplify]: Simplify 1 into 1 19.178 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.178 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.178 * [backup-simplify]: Simplify (- 0) into 0 19.178 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.178 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.178 * [backup-simplify]: Simplify (+ 0) into 0 19.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.180 * [backup-simplify]: Simplify (- 0) into 0 19.180 * [backup-simplify]: Simplify (+ 0 0) into 0 19.180 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.180 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.180 * [taylor]: Taking taylor expansion of 1/2 in U 19.180 * [backup-simplify]: Simplify 1/2 into 1/2 19.180 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.180 * [taylor]: Taking taylor expansion of J in U 19.180 * [backup-simplify]: Simplify J into J 19.180 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.180 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.180 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.180 * [taylor]: Taking taylor expansion of -1/2 in U 19.180 * [backup-simplify]: Simplify -1/2 into -1/2 19.180 * [taylor]: Taking taylor expansion of K in U 19.180 * [backup-simplify]: Simplify K into K 19.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.181 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.181 * [taylor]: Taking taylor expansion of U in U 19.181 * [backup-simplify]: Simplify 0 into 0 19.181 * [backup-simplify]: Simplify 1 into 1 19.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.181 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.181 * [backup-simplify]: Simplify (- 0) into 0 19.181 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.181 * [backup-simplify]: Simplify (+ 0) into 0 19.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.183 * [backup-simplify]: Simplify (- 0) into 0 19.183 * [backup-simplify]: Simplify (+ 0 0) into 0 19.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.183 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.184 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.184 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.184 * [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))) 19.184 * [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))) 19.184 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.185 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.185 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.186 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.186 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.186 * [backup-simplify]: Simplify (- 0) into 0 19.186 * [backup-simplify]: Simplify (+ 0 0) into 0 19.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.187 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.188 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.189 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.189 * [backup-simplify]: Simplify (- 0) into 0 19.190 * [backup-simplify]: Simplify (+ 0 0) into 0 19.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.190 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.191 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.191 * [backup-simplify]: Simplify (+ 0 0) into 0 19.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.191 * [taylor]: Taking taylor expansion of J in U 19.191 * [backup-simplify]: Simplify J into J 19.191 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.191 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.192 * [backup-simplify]: Simplify (- 0) into 0 19.192 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 19.192 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 19.192 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 19.192 * [taylor]: Taking taylor expansion of 2 in U 19.192 * [backup-simplify]: Simplify 2 into 2 19.192 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 19.192 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.192 * [taylor]: Taking taylor expansion of -1/2 in U 19.192 * [backup-simplify]: Simplify -1/2 into -1/2 19.192 * [taylor]: Taking taylor expansion of K in U 19.192 * [backup-simplify]: Simplify K into K 19.192 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.192 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.192 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.192 * [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 19.192 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.192 * [taylor]: Taking taylor expansion of 1 in U 19.192 * [backup-simplify]: Simplify 1 into 1 19.192 * [taylor]: Taking taylor expansion of 1 in U 19.192 * [backup-simplify]: Simplify 1 into 1 19.192 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.192 * [taylor]: Taking taylor expansion of 1/2 in U 19.192 * [backup-simplify]: Simplify 1/2 into 1/2 19.192 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.192 * [taylor]: Taking taylor expansion of J in U 19.192 * [backup-simplify]: Simplify J into J 19.192 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.192 * [taylor]: Taking taylor expansion of -1/2 in U 19.192 * [backup-simplify]: Simplify -1/2 into -1/2 19.192 * [taylor]: Taking taylor expansion of K in U 19.192 * [backup-simplify]: Simplify K into K 19.192 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.192 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.193 * [taylor]: Taking taylor expansion of U in U 19.193 * [backup-simplify]: Simplify 0 into 0 19.193 * [backup-simplify]: Simplify 1 into 1 19.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.193 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.193 * [backup-simplify]: Simplify (- 0) into 0 19.193 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.193 * [backup-simplify]: Simplify (+ 0) into 0 19.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.194 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.195 * [backup-simplify]: Simplify (- 0) into 0 19.195 * [backup-simplify]: Simplify (+ 0 0) into 0 19.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.195 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.195 * [taylor]: Taking taylor expansion of 1/2 in U 19.195 * [backup-simplify]: Simplify 1/2 into 1/2 19.195 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.195 * [taylor]: Taking taylor expansion of J in U 19.195 * [backup-simplify]: Simplify J into J 19.195 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.195 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.195 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.195 * [taylor]: Taking taylor expansion of -1/2 in U 19.195 * [backup-simplify]: Simplify -1/2 into -1/2 19.195 * [taylor]: Taking taylor expansion of K in U 19.195 * [backup-simplify]: Simplify K into K 19.195 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.196 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.196 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.196 * [taylor]: Taking taylor expansion of U in U 19.196 * [backup-simplify]: Simplify 0 into 0 19.196 * [backup-simplify]: Simplify 1 into 1 19.196 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.196 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.196 * [backup-simplify]: Simplify (- 0) into 0 19.196 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.196 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.196 * [backup-simplify]: Simplify (+ 0) into 0 19.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.197 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.198 * [backup-simplify]: Simplify (- 0) into 0 19.198 * [backup-simplify]: Simplify (+ 0 0) into 0 19.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.198 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.198 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.198 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.199 * [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))) 19.199 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 19.199 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.200 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.201 * [backup-simplify]: Simplify (- 0) into 0 19.201 * [backup-simplify]: Simplify (+ 0 0) into 0 19.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.202 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.203 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.204 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.204 * [backup-simplify]: Simplify (- 0) into 0 19.204 * [backup-simplify]: Simplify (+ 0 0) into 0 19.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.205 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.205 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.206 * [backup-simplify]: Simplify (+ 0 0) into 0 19.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.206 * [taylor]: Taking taylor expansion of J in U 19.206 * [backup-simplify]: Simplify J into J 19.206 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.206 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.206 * [backup-simplify]: Simplify (- 0) into 0 19.206 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.206 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 19.206 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 19.207 * [backup-simplify]: Simplify (* 2 1/2) into 1 19.207 * [taylor]: Taking taylor expansion of 1 in J 19.207 * [backup-simplify]: Simplify 1 into 1 19.207 * [backup-simplify]: Simplify (+ 0) into 0 19.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.208 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.209 * [backup-simplify]: Simplify (- 0) into 0 19.209 * [backup-simplify]: Simplify (+ 0 0) into 0 19.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.209 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 19.209 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 19.210 * [taylor]: Taking taylor expansion of 0 in J 19.210 * [backup-simplify]: Simplify 0 into 0 19.210 * [taylor]: Taking taylor expansion of 1 in K 19.210 * [backup-simplify]: Simplify 1 into 1 19.210 * [backup-simplify]: Simplify 1 into 1 19.210 * [backup-simplify]: Simplify (* 1 1) into 1 19.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.211 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.212 * [backup-simplify]: Simplify (- 0) into 0 19.213 * [backup-simplify]: Simplify (+ 0 0) into 0 19.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.213 * [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 19.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.214 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.217 * [backup-simplify]: Simplify (- 0) into 0 19.217 * [backup-simplify]: Simplify (+ 0 0) into 0 19.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.217 * [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 19.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.218 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 19.219 * [backup-simplify]: Simplify (+ 1 0) into 1 19.219 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 19.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.221 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.221 * [backup-simplify]: Simplify (- 0) into 0 19.221 * [backup-simplify]: Simplify (+ 0 0) into 0 19.222 * [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) 19.222 * [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)) 19.223 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 19.223 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 19.223 * [taylor]: Taking taylor expansion of 2 in J 19.223 * [backup-simplify]: Simplify 2 into 2 19.223 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 19.223 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 19.223 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.223 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.223 * [taylor]: Taking taylor expansion of -1/2 in J 19.223 * [backup-simplify]: Simplify -1/2 into -1/2 19.223 * [taylor]: Taking taylor expansion of K in J 19.223 * [backup-simplify]: Simplify K into K 19.223 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.223 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.223 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.223 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.223 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.223 * [backup-simplify]: Simplify (- 0) into 0 19.223 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.223 * [taylor]: Taking taylor expansion of (pow J 2) in J 19.223 * [taylor]: Taking taylor expansion of J in J 19.223 * [backup-simplify]: Simplify 0 into 0 19.223 * [backup-simplify]: Simplify 1 into 1 19.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 19.224 * [backup-simplify]: Simplify (* 1 1) into 1 19.224 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 19.224 * [backup-simplify]: Simplify (+ 0) into 0 19.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.224 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.225 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.225 * [backup-simplify]: Simplify (- 0) into 0 19.226 * [backup-simplify]: Simplify (+ 0 0) into 0 19.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 19.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 19.227 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 19.227 * [taylor]: Taking taylor expansion of 0 in K 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [taylor]: Taking taylor expansion of 0 in K 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [taylor]: Taking taylor expansion of 0 in K 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [backup-simplify]: Simplify 0 into 0 19.227 * [backup-simplify]: Simplify 0 into 0 19.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.229 * [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 19.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.236 * [backup-simplify]: Simplify (- 0) into 0 19.236 * [backup-simplify]: Simplify (+ 0 0) into 0 19.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.237 * [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 19.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.239 * [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 19.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.240 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.241 * [backup-simplify]: Simplify (- 0) into 0 19.241 * [backup-simplify]: Simplify (+ 0 0) into 0 19.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.242 * [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 19.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.243 * [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 19.244 * [backup-simplify]: Simplify (+ 0 0) into 0 19.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.244 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.245 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.245 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.246 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.247 * [backup-simplify]: Simplify (- 0) into 0 19.247 * [backup-simplify]: Simplify (+ 0 0) into 0 19.247 * [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 19.247 * [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 19.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 19.248 * [taylor]: Taking taylor expansion of 0 in J 19.248 * [backup-simplify]: Simplify 0 into 0 19.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.250 * [backup-simplify]: Simplify (- 0) into 0 19.251 * [backup-simplify]: Simplify (+ 0 0) into 0 19.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 19.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 19.253 * [taylor]: Taking taylor expansion of 0 in K 19.253 * [backup-simplify]: Simplify 0 into 0 19.253 * [backup-simplify]: Simplify 0 into 0 19.253 * [taylor]: Taking taylor expansion of 0 in K 19.253 * [backup-simplify]: Simplify 0 into 0 19.253 * [backup-simplify]: Simplify 0 into 0 19.253 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 19.253 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 19.253 * [backup-simplify]: Simplify (/ (/ U J) (* (cos (/ K 2)) 2)) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 19.253 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 19.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.253 * [taylor]: Taking taylor expansion of 1/2 in K 19.253 * [backup-simplify]: Simplify 1/2 into 1/2 19.253 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.253 * [taylor]: Taking taylor expansion of U in K 19.253 * [backup-simplify]: Simplify U into U 19.253 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.253 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.253 * [taylor]: Taking taylor expansion of 1/2 in K 19.253 * [backup-simplify]: Simplify 1/2 into 1/2 19.253 * [taylor]: Taking taylor expansion of K in K 19.253 * [backup-simplify]: Simplify 0 into 0 19.253 * [backup-simplify]: Simplify 1 into 1 19.254 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.254 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.254 * [taylor]: Taking taylor expansion of J in K 19.254 * [backup-simplify]: Simplify J into J 19.254 * [backup-simplify]: Simplify (* 1 J) into J 19.254 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.254 * [taylor]: Taking taylor expansion of 1/2 in J 19.254 * [backup-simplify]: Simplify 1/2 into 1/2 19.254 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.254 * [taylor]: Taking taylor expansion of U in J 19.254 * [backup-simplify]: Simplify U into U 19.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.254 * [taylor]: Taking taylor expansion of 1/2 in J 19.254 * [backup-simplify]: Simplify 1/2 into 1/2 19.254 * [taylor]: Taking taylor expansion of K in J 19.254 * [backup-simplify]: Simplify K into K 19.255 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.255 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.255 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.255 * [taylor]: Taking taylor expansion of J in J 19.255 * [backup-simplify]: Simplify 0 into 0 19.255 * [backup-simplify]: Simplify 1 into 1 19.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.255 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.255 * [backup-simplify]: Simplify (- 0) into 0 19.255 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.255 * [backup-simplify]: Simplify (+ 0) into 0 19.256 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.257 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.257 * [backup-simplify]: Simplify (- 0) into 0 19.257 * [backup-simplify]: Simplify (+ 0 0) into 0 19.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.258 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.258 * [taylor]: Taking taylor expansion of 1/2 in U 19.258 * [backup-simplify]: Simplify 1/2 into 1/2 19.258 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.258 * [taylor]: Taking taylor expansion of U in U 19.258 * [backup-simplify]: Simplify 0 into 0 19.258 * [backup-simplify]: Simplify 1 into 1 19.258 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.258 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.258 * [taylor]: Taking taylor expansion of 1/2 in U 19.258 * [backup-simplify]: Simplify 1/2 into 1/2 19.258 * [taylor]: Taking taylor expansion of K in U 19.258 * [backup-simplify]: Simplify K into K 19.258 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.258 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.258 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.258 * [taylor]: Taking taylor expansion of J in U 19.258 * [backup-simplify]: Simplify J into J 19.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.258 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.259 * [backup-simplify]: Simplify (- 0) into 0 19.259 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.259 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.259 * [taylor]: Taking taylor expansion of 1/2 in U 19.259 * [backup-simplify]: Simplify 1/2 into 1/2 19.259 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.259 * [taylor]: Taking taylor expansion of U in U 19.259 * [backup-simplify]: Simplify 0 into 0 19.259 * [backup-simplify]: Simplify 1 into 1 19.259 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.259 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.259 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.259 * [taylor]: Taking taylor expansion of 1/2 in U 19.259 * [backup-simplify]: Simplify 1/2 into 1/2 19.259 * [taylor]: Taking taylor expansion of K in U 19.259 * [backup-simplify]: Simplify K into K 19.259 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.259 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.259 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.259 * [taylor]: Taking taylor expansion of J in U 19.259 * [backup-simplify]: Simplify J into J 19.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.259 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.260 * [backup-simplify]: Simplify (- 0) into 0 19.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.260 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.260 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.260 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 19.260 * [taylor]: Taking taylor expansion of 1/2 in J 19.260 * [backup-simplify]: Simplify 1/2 into 1/2 19.260 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.260 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.260 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.260 * [taylor]: Taking taylor expansion of 1/2 in J 19.260 * [backup-simplify]: Simplify 1/2 into 1/2 19.260 * [taylor]: Taking taylor expansion of K in J 19.260 * [backup-simplify]: Simplify K into K 19.260 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.260 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.260 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.260 * [taylor]: Taking taylor expansion of J in J 19.260 * [backup-simplify]: Simplify 0 into 0 19.260 * [backup-simplify]: Simplify 1 into 1 19.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.260 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.261 * [backup-simplify]: Simplify (- 0) into 0 19.261 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.261 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.261 * [backup-simplify]: Simplify (+ 0) into 0 19.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.262 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.263 * [backup-simplify]: Simplify (- 0) into 0 19.263 * [backup-simplify]: Simplify (+ 0 0) into 0 19.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.263 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 19.263 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 19.263 * [taylor]: Taking taylor expansion of 1/2 in K 19.263 * [backup-simplify]: Simplify 1/2 into 1/2 19.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.263 * [taylor]: Taking taylor expansion of 1/2 in K 19.263 * [backup-simplify]: Simplify 1/2 into 1/2 19.263 * [taylor]: Taking taylor expansion of K in K 19.263 * [backup-simplify]: Simplify 0 into 0 19.263 * [backup-simplify]: Simplify 1 into 1 19.264 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.264 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.264 * [backup-simplify]: Simplify 1/2 into 1/2 19.265 * [backup-simplify]: Simplify (+ 0) into 0 19.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.266 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.266 * [backup-simplify]: Simplify (- 0) into 0 19.266 * [backup-simplify]: Simplify (+ 0 0) into 0 19.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.267 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.267 * [taylor]: Taking taylor expansion of 0 in J 19.267 * [backup-simplify]: Simplify 0 into 0 19.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.269 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.270 * [backup-simplify]: Simplify (- 0) into 0 19.270 * [backup-simplify]: Simplify (+ 0 0) into 0 19.270 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.271 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.271 * [taylor]: Taking taylor expansion of 0 in K 19.271 * [backup-simplify]: Simplify 0 into 0 19.271 * [backup-simplify]: Simplify 0 into 0 19.271 * [backup-simplify]: Simplify (+ 0) into 0 19.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.272 * [backup-simplify]: Simplify 0 into 0 19.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.273 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.274 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.274 * [backup-simplify]: Simplify (- 0) into 0 19.274 * [backup-simplify]: Simplify (+ 0 0) into 0 19.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 19.275 * [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 19.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 19.276 * [taylor]: Taking taylor expansion of 0 in J 19.276 * [backup-simplify]: Simplify 0 into 0 19.276 * [taylor]: Taking taylor expansion of 0 in K 19.276 * [backup-simplify]: Simplify 0 into 0 19.276 * [backup-simplify]: Simplify 0 into 0 19.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 19.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.279 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.279 * [backup-simplify]: Simplify (- 0) into 0 19.279 * [backup-simplify]: Simplify (+ 0 0) into 0 19.280 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.280 * [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 19.280 * [taylor]: Taking taylor expansion of 0 in K 19.280 * [backup-simplify]: Simplify 0 into 0 19.280 * [backup-simplify]: Simplify 0 into 0 19.280 * [backup-simplify]: Simplify 0 into 0 19.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 19.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 19.281 * [backup-simplify]: Simplify 1/16 into 1/16 19.282 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.282 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 19.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.284 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.284 * [backup-simplify]: Simplify (- 0) into 0 19.285 * [backup-simplify]: Simplify (+ 0 0) into 0 19.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 19.285 * [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 19.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 19.286 * [taylor]: Taking taylor expansion of 0 in J 19.286 * [backup-simplify]: Simplify 0 into 0 19.286 * [taylor]: Taking taylor expansion of 0 in K 19.286 * [backup-simplify]: Simplify 0 into 0 19.286 * [backup-simplify]: Simplify 0 into 0 19.286 * [taylor]: Taking taylor expansion of 0 in K 19.286 * [backup-simplify]: Simplify 0 into 0 19.286 * [backup-simplify]: Simplify 0 into 0 19.288 * [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 19.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 19.290 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.290 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.291 * [backup-simplify]: Simplify (- 0) into 0 19.291 * [backup-simplify]: Simplify (+ 0 0) into 0 19.291 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.292 * [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 19.292 * [taylor]: Taking taylor expansion of 0 in K 19.292 * [backup-simplify]: Simplify 0 into 0 19.292 * [backup-simplify]: Simplify 0 into 0 19.292 * [backup-simplify]: Simplify 0 into 0 19.292 * [backup-simplify]: Simplify 0 into 0 19.292 * [backup-simplify]: Simplify 0 into 0 19.292 * [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))) 19.292 * [backup-simplify]: Simplify (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2)) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.292 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 19.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.292 * [taylor]: Taking taylor expansion of 1/2 in K 19.292 * [backup-simplify]: Simplify 1/2 into 1/2 19.292 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.292 * [taylor]: Taking taylor expansion of J in K 19.292 * [backup-simplify]: Simplify J into J 19.292 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.293 * [taylor]: Taking taylor expansion of U in K 19.293 * [backup-simplify]: Simplify U into U 19.293 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.293 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.293 * [taylor]: Taking taylor expansion of 1/2 in K 19.293 * [backup-simplify]: Simplify 1/2 into 1/2 19.293 * [taylor]: Taking taylor expansion of K in K 19.293 * [backup-simplify]: Simplify 0 into 0 19.293 * [backup-simplify]: Simplify 1 into 1 19.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.293 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.293 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.293 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.293 * [taylor]: Taking taylor expansion of 1/2 in J 19.293 * [backup-simplify]: Simplify 1/2 into 1/2 19.293 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.293 * [taylor]: Taking taylor expansion of J in J 19.293 * [backup-simplify]: Simplify 0 into 0 19.293 * [backup-simplify]: Simplify 1 into 1 19.293 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.293 * [taylor]: Taking taylor expansion of U in J 19.293 * [backup-simplify]: Simplify U into U 19.293 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.293 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.293 * [taylor]: Taking taylor expansion of 1/2 in J 19.293 * [backup-simplify]: Simplify 1/2 into 1/2 19.293 * [taylor]: Taking taylor expansion of K in J 19.293 * [backup-simplify]: Simplify K into K 19.293 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.293 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.293 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.294 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.294 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.294 * [backup-simplify]: Simplify (- 0) into 0 19.294 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.294 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.294 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.294 * [taylor]: Taking taylor expansion of 1/2 in U 19.294 * [backup-simplify]: Simplify 1/2 into 1/2 19.294 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.294 * [taylor]: Taking taylor expansion of J in U 19.294 * [backup-simplify]: Simplify J into J 19.294 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.294 * [taylor]: Taking taylor expansion of U in U 19.294 * [backup-simplify]: Simplify 0 into 0 19.294 * [backup-simplify]: Simplify 1 into 1 19.294 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.294 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.294 * [taylor]: Taking taylor expansion of 1/2 in U 19.294 * [backup-simplify]: Simplify 1/2 into 1/2 19.294 * [taylor]: Taking taylor expansion of K in U 19.294 * [backup-simplify]: Simplify K into K 19.294 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.294 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.294 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.294 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.294 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.295 * [backup-simplify]: Simplify (- 0) into 0 19.295 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.295 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.295 * [backup-simplify]: Simplify (+ 0) into 0 19.295 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.296 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.296 * [backup-simplify]: Simplify (- 0) into 0 19.297 * [backup-simplify]: Simplify (+ 0 0) into 0 19.297 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.297 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.297 * [taylor]: Taking taylor expansion of 1/2 in U 19.297 * [backup-simplify]: Simplify 1/2 into 1/2 19.297 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.297 * [taylor]: Taking taylor expansion of J in U 19.297 * [backup-simplify]: Simplify J into J 19.297 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.297 * [taylor]: Taking taylor expansion of U in U 19.297 * [backup-simplify]: Simplify 0 into 0 19.297 * [backup-simplify]: Simplify 1 into 1 19.297 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.297 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.297 * [taylor]: Taking taylor expansion of 1/2 in U 19.297 * [backup-simplify]: Simplify 1/2 into 1/2 19.297 * [taylor]: Taking taylor expansion of K in U 19.297 * [backup-simplify]: Simplify K into K 19.297 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.297 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.297 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.297 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.298 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.298 * [backup-simplify]: Simplify (- 0) into 0 19.298 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.298 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.298 * [backup-simplify]: Simplify (+ 0) into 0 19.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.300 * [backup-simplify]: Simplify (- 0) into 0 19.300 * [backup-simplify]: Simplify (+ 0 0) into 0 19.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.300 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.300 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 19.300 * [taylor]: Taking taylor expansion of 1/2 in J 19.300 * [backup-simplify]: Simplify 1/2 into 1/2 19.300 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 19.300 * [taylor]: Taking taylor expansion of J in J 19.300 * [backup-simplify]: Simplify 0 into 0 19.300 * [backup-simplify]: Simplify 1 into 1 19.300 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.300 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.300 * [taylor]: Taking taylor expansion of 1/2 in J 19.300 * [backup-simplify]: Simplify 1/2 into 1/2 19.300 * [taylor]: Taking taylor expansion of K in J 19.300 * [backup-simplify]: Simplify K into K 19.300 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.301 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.301 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.301 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.301 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.301 * [backup-simplify]: Simplify (- 0) into 0 19.301 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.301 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 19.301 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 19.301 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 19.301 * [taylor]: Taking taylor expansion of 1/2 in K 19.301 * [backup-simplify]: Simplify 1/2 into 1/2 19.301 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.301 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.301 * [taylor]: Taking taylor expansion of 1/2 in K 19.301 * [backup-simplify]: Simplify 1/2 into 1/2 19.301 * [taylor]: Taking taylor expansion of K in K 19.301 * [backup-simplify]: Simplify 0 into 0 19.301 * [backup-simplify]: Simplify 1 into 1 19.301 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.302 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.302 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.302 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.304 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.304 * [backup-simplify]: Simplify (- 0) into 0 19.304 * [backup-simplify]: Simplify (+ 0 0) into 0 19.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.305 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.305 * [taylor]: Taking taylor expansion of 0 in J 19.305 * [backup-simplify]: Simplify 0 into 0 19.305 * [taylor]: Taking taylor expansion of 0 in K 19.305 * [backup-simplify]: Simplify 0 into 0 19.305 * [backup-simplify]: Simplify 0 into 0 19.305 * [backup-simplify]: Simplify (+ 0) into 0 19.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.307 * [backup-simplify]: Simplify (- 0) into 0 19.307 * [backup-simplify]: Simplify (+ 0 0) into 0 19.307 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 19.307 * [taylor]: Taking taylor expansion of 0 in K 19.307 * [backup-simplify]: Simplify 0 into 0 19.307 * [backup-simplify]: Simplify 0 into 0 19.308 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.308 * [backup-simplify]: Simplify 0 into 0 19.308 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.309 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.310 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.310 * [backup-simplify]: Simplify (- 0) into 0 19.311 * [backup-simplify]: Simplify (+ 0 0) into 0 19.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.311 * [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 19.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.312 * [taylor]: Taking taylor expansion of 0 in J 19.312 * [backup-simplify]: Simplify 0 into 0 19.312 * [taylor]: Taking taylor expansion of 0 in K 19.312 * [backup-simplify]: Simplify 0 into 0 19.312 * [backup-simplify]: Simplify 0 into 0 19.312 * [taylor]: Taking taylor expansion of 0 in K 19.312 * [backup-simplify]: Simplify 0 into 0 19.312 * [backup-simplify]: Simplify 0 into 0 19.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.313 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.313 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.314 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.314 * [backup-simplify]: Simplify (- 0) into 0 19.314 * [backup-simplify]: Simplify (+ 0 0) into 0 19.315 * [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 19.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 19.315 * [taylor]: Taking taylor expansion of 0 in K 19.315 * [backup-simplify]: Simplify 0 into 0 19.315 * [backup-simplify]: Simplify 0 into 0 19.315 * [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))) 19.316 * [backup-simplify]: Simplify (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2)) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.316 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 19.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.316 * [taylor]: Taking taylor expansion of 1/2 in K 19.316 * [backup-simplify]: Simplify 1/2 into 1/2 19.316 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.316 * [taylor]: Taking taylor expansion of J in K 19.316 * [backup-simplify]: Simplify J into J 19.316 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.316 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.316 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.316 * [taylor]: Taking taylor expansion of -1/2 in K 19.316 * [backup-simplify]: Simplify -1/2 into -1/2 19.316 * [taylor]: Taking taylor expansion of K in K 19.316 * [backup-simplify]: Simplify 0 into 0 19.316 * [backup-simplify]: Simplify 1 into 1 19.316 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.316 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.316 * [taylor]: Taking taylor expansion of U in K 19.316 * [backup-simplify]: Simplify U into U 19.316 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.316 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.316 * [taylor]: Taking taylor expansion of 1/2 in J 19.316 * [backup-simplify]: Simplify 1/2 into 1/2 19.316 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.316 * [taylor]: Taking taylor expansion of J in J 19.316 * [backup-simplify]: Simplify 0 into 0 19.316 * [backup-simplify]: Simplify 1 into 1 19.316 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.316 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.316 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.316 * [taylor]: Taking taylor expansion of -1/2 in J 19.316 * [backup-simplify]: Simplify -1/2 into -1/2 19.316 * [taylor]: Taking taylor expansion of K in J 19.317 * [backup-simplify]: Simplify K into K 19.317 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.317 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.317 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.317 * [taylor]: Taking taylor expansion of U in J 19.317 * [backup-simplify]: Simplify U into U 19.317 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.317 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.317 * [backup-simplify]: Simplify (- 0) into 0 19.317 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.317 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.317 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.317 * [taylor]: Taking taylor expansion of 1/2 in U 19.317 * [backup-simplify]: Simplify 1/2 into 1/2 19.317 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.317 * [taylor]: Taking taylor expansion of J in U 19.317 * [backup-simplify]: Simplify J into J 19.317 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.317 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.317 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.317 * [taylor]: Taking taylor expansion of -1/2 in U 19.317 * [backup-simplify]: Simplify -1/2 into -1/2 19.317 * [taylor]: Taking taylor expansion of K in U 19.317 * [backup-simplify]: Simplify K into K 19.317 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.317 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.318 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.318 * [taylor]: Taking taylor expansion of U in U 19.318 * [backup-simplify]: Simplify 0 into 0 19.318 * [backup-simplify]: Simplify 1 into 1 19.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.318 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.318 * [backup-simplify]: Simplify (- 0) into 0 19.318 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.318 * [backup-simplify]: Simplify (+ 0) into 0 19.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.319 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.320 * [backup-simplify]: Simplify (- 0) into 0 19.320 * [backup-simplify]: Simplify (+ 0 0) into 0 19.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.321 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.321 * [taylor]: Taking taylor expansion of 1/2 in U 19.321 * [backup-simplify]: Simplify 1/2 into 1/2 19.321 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.321 * [taylor]: Taking taylor expansion of J in U 19.321 * [backup-simplify]: Simplify J into J 19.321 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.321 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.321 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.321 * [taylor]: Taking taylor expansion of -1/2 in U 19.321 * [backup-simplify]: Simplify -1/2 into -1/2 19.321 * [taylor]: Taking taylor expansion of K in U 19.321 * [backup-simplify]: Simplify K into K 19.321 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.321 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.321 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.321 * [taylor]: Taking taylor expansion of U in U 19.321 * [backup-simplify]: Simplify 0 into 0 19.321 * [backup-simplify]: Simplify 1 into 1 19.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.321 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.321 * [backup-simplify]: Simplify (- 0) into 0 19.321 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.322 * [backup-simplify]: Simplify (+ 0) into 0 19.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.322 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.327 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.327 * [backup-simplify]: Simplify (- 0) into 0 19.327 * [backup-simplify]: Simplify (+ 0 0) into 0 19.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.328 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.328 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 19.328 * [taylor]: Taking taylor expansion of 1/2 in J 19.328 * [backup-simplify]: Simplify 1/2 into 1/2 19.328 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 19.328 * [taylor]: Taking taylor expansion of J in J 19.328 * [backup-simplify]: Simplify 0 into 0 19.328 * [backup-simplify]: Simplify 1 into 1 19.328 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.328 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.328 * [taylor]: Taking taylor expansion of -1/2 in J 19.328 * [backup-simplify]: Simplify -1/2 into -1/2 19.328 * [taylor]: Taking taylor expansion of K in J 19.328 * [backup-simplify]: Simplify K into K 19.328 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.328 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.328 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.328 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.328 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.328 * [backup-simplify]: Simplify (- 0) into 0 19.328 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.329 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 19.329 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 19.329 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 19.329 * [taylor]: Taking taylor expansion of 1/2 in K 19.329 * [backup-simplify]: Simplify 1/2 into 1/2 19.329 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.329 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.329 * [taylor]: Taking taylor expansion of -1/2 in K 19.329 * [backup-simplify]: Simplify -1/2 into -1/2 19.329 * [taylor]: Taking taylor expansion of K in K 19.329 * [backup-simplify]: Simplify 0 into 0 19.329 * [backup-simplify]: Simplify 1 into 1 19.329 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.329 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.329 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.329 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.331 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.331 * [backup-simplify]: Simplify (- 0) into 0 19.332 * [backup-simplify]: Simplify (+ 0 0) into 0 19.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.332 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.332 * [taylor]: Taking taylor expansion of 0 in J 19.332 * [backup-simplify]: Simplify 0 into 0 19.333 * [taylor]: Taking taylor expansion of 0 in K 19.333 * [backup-simplify]: Simplify 0 into 0 19.333 * [backup-simplify]: Simplify 0 into 0 19.333 * [backup-simplify]: Simplify (+ 0) into 0 19.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.333 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.334 * [backup-simplify]: Simplify (- 0) into 0 19.334 * [backup-simplify]: Simplify (+ 0 0) into 0 19.335 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 19.335 * [taylor]: Taking taylor expansion of 0 in K 19.335 * [backup-simplify]: Simplify 0 into 0 19.335 * [backup-simplify]: Simplify 0 into 0 19.335 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.335 * [backup-simplify]: Simplify 0 into 0 19.336 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.336 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.338 * [backup-simplify]: Simplify (- 0) into 0 19.338 * [backup-simplify]: Simplify (+ 0 0) into 0 19.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.339 * [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 19.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.339 * [taylor]: Taking taylor expansion of 0 in J 19.339 * [backup-simplify]: Simplify 0 into 0 19.339 * [taylor]: Taking taylor expansion of 0 in K 19.339 * [backup-simplify]: Simplify 0 into 0 19.339 * [backup-simplify]: Simplify 0 into 0 19.339 * [taylor]: Taking taylor expansion of 0 in K 19.340 * [backup-simplify]: Simplify 0 into 0 19.340 * [backup-simplify]: Simplify 0 into 0 19.340 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.340 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.341 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.342 * [backup-simplify]: Simplify (- 0) into 0 19.342 * [backup-simplify]: Simplify (+ 0 0) into 0 19.342 * [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 19.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 19.343 * [taylor]: Taking taylor expansion of 0 in K 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [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))) 19.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 19.343 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) into (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 19.343 * [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 19.343 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 19.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.343 * [taylor]: Taking taylor expansion of 1/2 in K 19.343 * [backup-simplify]: Simplify 1/2 into 1/2 19.343 * [taylor]: Taking taylor expansion of K in K 19.343 * [backup-simplify]: Simplify 0 into 0 19.343 * [backup-simplify]: Simplify 1 into 1 19.343 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.344 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.344 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.344 * [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 19.344 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.344 * [taylor]: Taking taylor expansion of 1 in K 19.344 * [backup-simplify]: Simplify 1 into 1 19.344 * [taylor]: Taking taylor expansion of 1 in K 19.344 * [backup-simplify]: Simplify 1 into 1 19.344 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.344 * [taylor]: Taking taylor expansion of 1/2 in K 19.344 * [backup-simplify]: Simplify 1/2 into 1/2 19.344 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.344 * [taylor]: Taking taylor expansion of U in K 19.344 * [backup-simplify]: Simplify U into U 19.344 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.344 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.344 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.344 * [taylor]: Taking taylor expansion of 1/2 in K 19.344 * [backup-simplify]: Simplify 1/2 into 1/2 19.344 * [taylor]: Taking taylor expansion of K in K 19.344 * [backup-simplify]: Simplify 0 into 0 19.344 * [backup-simplify]: Simplify 1 into 1 19.345 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.345 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.345 * [taylor]: Taking taylor expansion of J in K 19.345 * [backup-simplify]: Simplify J into J 19.345 * [backup-simplify]: Simplify (* 1 J) into J 19.345 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.345 * [taylor]: Taking taylor expansion of 1/2 in K 19.345 * [backup-simplify]: Simplify 1/2 into 1/2 19.345 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.345 * [taylor]: Taking taylor expansion of U in K 19.345 * [backup-simplify]: Simplify U into U 19.345 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.345 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.345 * [taylor]: Taking taylor expansion of 1/2 in K 19.345 * [backup-simplify]: Simplify 1/2 into 1/2 19.345 * [taylor]: Taking taylor expansion of K in K 19.345 * [backup-simplify]: Simplify 0 into 0 19.345 * [backup-simplify]: Simplify 1 into 1 19.346 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.346 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.346 * [taylor]: Taking taylor expansion of J in K 19.346 * [backup-simplify]: Simplify J into J 19.346 * [backup-simplify]: Simplify (* 1 J) into J 19.346 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.346 * [backup-simplify]: Simplify (* 1 1) into 1 19.346 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.346 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.346 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 19.347 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 19.347 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 19.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.347 * [backup-simplify]: Simplify (+ 0) into 0 19.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.348 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.348 * [backup-simplify]: Simplify (+ 0) into 0 19.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.349 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.349 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 19.349 * [backup-simplify]: Simplify (+ 0 0) into 0 19.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 19.350 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 19.350 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.350 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.350 * [taylor]: Taking taylor expansion of 1/2 in J 19.350 * [backup-simplify]: Simplify 1/2 into 1/2 19.350 * [taylor]: Taking taylor expansion of K in J 19.350 * [backup-simplify]: Simplify K into K 19.350 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.350 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.350 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.350 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.350 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.350 * [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 19.350 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.350 * [taylor]: Taking taylor expansion of 1 in J 19.350 * [backup-simplify]: Simplify 1 into 1 19.350 * [taylor]: Taking taylor expansion of 1 in J 19.350 * [backup-simplify]: Simplify 1 into 1 19.350 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.350 * [taylor]: Taking taylor expansion of 1/2 in J 19.350 * [backup-simplify]: Simplify 1/2 into 1/2 19.350 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.350 * [taylor]: Taking taylor expansion of U in J 19.350 * [backup-simplify]: Simplify U into U 19.350 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.350 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.350 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.350 * [taylor]: Taking taylor expansion of 1/2 in J 19.350 * [backup-simplify]: Simplify 1/2 into 1/2 19.350 * [taylor]: Taking taylor expansion of K in J 19.350 * [backup-simplify]: Simplify K into K 19.350 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.350 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.350 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.350 * [taylor]: Taking taylor expansion of J in J 19.350 * [backup-simplify]: Simplify 0 into 0 19.350 * [backup-simplify]: Simplify 1 into 1 19.350 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.350 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.351 * [backup-simplify]: Simplify (- 0) into 0 19.351 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.351 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.351 * [backup-simplify]: Simplify (+ 0) into 0 19.351 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.352 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.353 * [backup-simplify]: Simplify (- 0) into 0 19.353 * [backup-simplify]: Simplify (+ 0 0) into 0 19.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.353 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.353 * [taylor]: Taking taylor expansion of 1/2 in J 19.353 * [backup-simplify]: Simplify 1/2 into 1/2 19.353 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.353 * [taylor]: Taking taylor expansion of U in J 19.353 * [backup-simplify]: Simplify U into U 19.353 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.353 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.353 * [taylor]: Taking taylor expansion of 1/2 in J 19.353 * [backup-simplify]: Simplify 1/2 into 1/2 19.353 * [taylor]: Taking taylor expansion of K in J 19.353 * [backup-simplify]: Simplify K into K 19.354 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.354 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.354 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.354 * [taylor]: Taking taylor expansion of J in J 19.354 * [backup-simplify]: Simplify 0 into 0 19.354 * [backup-simplify]: Simplify 1 into 1 19.354 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.354 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.354 * [backup-simplify]: Simplify (- 0) into 0 19.354 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.354 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.354 * [backup-simplify]: Simplify (+ 0) into 0 19.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.356 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.356 * [backup-simplify]: Simplify (- 0) into 0 19.356 * [backup-simplify]: Simplify (+ 0 0) into 0 19.356 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.356 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.357 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.357 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.357 * [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))) 19.357 * [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))) 19.357 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.359 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.360 * [backup-simplify]: Simplify (- 0) into 0 19.360 * [backup-simplify]: Simplify (+ 0 0) into 0 19.360 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.360 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.363 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.363 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.363 * [backup-simplify]: Simplify (- 0) into 0 19.363 * [backup-simplify]: Simplify (+ 0 0) into 0 19.364 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.364 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.364 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 19.365 * [backup-simplify]: Simplify (+ 0 0) into 0 19.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 19.365 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.365 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.365 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.365 * [taylor]: Taking taylor expansion of 1/2 in U 19.365 * [backup-simplify]: Simplify 1/2 into 1/2 19.365 * [taylor]: Taking taylor expansion of K in U 19.365 * [backup-simplify]: Simplify K into K 19.365 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.365 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.365 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.365 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.365 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.365 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.365 * [taylor]: Taking taylor expansion of 1 in U 19.365 * [backup-simplify]: Simplify 1 into 1 19.365 * [taylor]: Taking taylor expansion of 1 in U 19.365 * [backup-simplify]: Simplify 1 into 1 19.365 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.365 * [taylor]: Taking taylor expansion of 1/2 in U 19.365 * [backup-simplify]: Simplify 1/2 into 1/2 19.365 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.365 * [taylor]: Taking taylor expansion of U in U 19.365 * [backup-simplify]: Simplify 0 into 0 19.365 * [backup-simplify]: Simplify 1 into 1 19.365 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.365 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.365 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.365 * [taylor]: Taking taylor expansion of 1/2 in U 19.365 * [backup-simplify]: Simplify 1/2 into 1/2 19.365 * [taylor]: Taking taylor expansion of K in U 19.365 * [backup-simplify]: Simplify K into K 19.365 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.365 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.365 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.366 * [taylor]: Taking taylor expansion of J in U 19.366 * [backup-simplify]: Simplify J into J 19.366 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.366 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.366 * [backup-simplify]: Simplify (- 0) into 0 19.366 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.366 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.366 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.366 * [taylor]: Taking taylor expansion of 1/2 in U 19.366 * [backup-simplify]: Simplify 1/2 into 1/2 19.366 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.366 * [taylor]: Taking taylor expansion of U in U 19.366 * [backup-simplify]: Simplify 0 into 0 19.366 * [backup-simplify]: Simplify 1 into 1 19.366 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.366 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.366 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.366 * [taylor]: Taking taylor expansion of 1/2 in U 19.366 * [backup-simplify]: Simplify 1/2 into 1/2 19.366 * [taylor]: Taking taylor expansion of K in U 19.366 * [backup-simplify]: Simplify K into K 19.366 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.367 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.367 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.367 * [taylor]: Taking taylor expansion of J in U 19.367 * [backup-simplify]: Simplify J into J 19.367 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.367 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.367 * [backup-simplify]: Simplify (- 0) into 0 19.367 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.367 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.367 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.368 * [backup-simplify]: Simplify (* 1 1) into 1 19.368 * [backup-simplify]: Simplify (+ 1 0) into 1 19.369 * [backup-simplify]: Simplify (sqrt 1) into 1 19.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.370 * [backup-simplify]: Simplify (+ 0 0) into 0 19.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.371 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 19.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.371 * [taylor]: Taking taylor expansion of 1/2 in U 19.371 * [backup-simplify]: Simplify 1/2 into 1/2 19.371 * [taylor]: Taking taylor expansion of K in U 19.371 * [backup-simplify]: Simplify K into K 19.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.371 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.371 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.371 * [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 19.371 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.371 * [taylor]: Taking taylor expansion of 1 in U 19.371 * [backup-simplify]: Simplify 1 into 1 19.371 * [taylor]: Taking taylor expansion of 1 in U 19.371 * [backup-simplify]: Simplify 1 into 1 19.371 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.371 * [taylor]: Taking taylor expansion of 1/2 in U 19.371 * [backup-simplify]: Simplify 1/2 into 1/2 19.371 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.371 * [taylor]: Taking taylor expansion of U in U 19.371 * [backup-simplify]: Simplify 0 into 0 19.371 * [backup-simplify]: Simplify 1 into 1 19.371 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.372 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.372 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.372 * [taylor]: Taking taylor expansion of 1/2 in U 19.372 * [backup-simplify]: Simplify 1/2 into 1/2 19.372 * [taylor]: Taking taylor expansion of K in U 19.372 * [backup-simplify]: Simplify K into K 19.372 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.372 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.372 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.372 * [taylor]: Taking taylor expansion of J in U 19.372 * [backup-simplify]: Simplify J into J 19.372 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.372 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.372 * [backup-simplify]: Simplify (- 0) into 0 19.372 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.373 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.373 * [taylor]: Taking taylor expansion of 1/2 in U 19.373 * [backup-simplify]: Simplify 1/2 into 1/2 19.373 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.373 * [taylor]: Taking taylor expansion of U in U 19.373 * [backup-simplify]: Simplify 0 into 0 19.373 * [backup-simplify]: Simplify 1 into 1 19.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.373 * [taylor]: Taking taylor expansion of 1/2 in U 19.373 * [backup-simplify]: Simplify 1/2 into 1/2 19.373 * [taylor]: Taking taylor expansion of K in U 19.373 * [backup-simplify]: Simplify K into K 19.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.373 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.373 * [taylor]: Taking taylor expansion of J in U 19.373 * [backup-simplify]: Simplify J into J 19.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.373 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.374 * [backup-simplify]: Simplify (- 0) into 0 19.374 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.374 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.374 * [backup-simplify]: Simplify (* 1 1) into 1 19.375 * [backup-simplify]: Simplify (+ 1 0) into 1 19.375 * [backup-simplify]: Simplify (sqrt 1) into 1 19.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.376 * [backup-simplify]: Simplify (+ 0 0) into 0 19.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.377 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.378 * [backup-simplify]: Simplify (- 0) into 0 19.378 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.378 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.378 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.378 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.378 * [taylor]: Taking taylor expansion of 1/2 in J 19.378 * [backup-simplify]: Simplify 1/2 into 1/2 19.378 * [taylor]: Taking taylor expansion of K in J 19.378 * [backup-simplify]: Simplify K into K 19.378 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.378 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.378 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.379 * [backup-simplify]: Simplify (+ 0) into 0 19.379 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.381 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.381 * [backup-simplify]: Simplify (- 0) into 0 19.382 * [backup-simplify]: Simplify (+ 0 0) into 0 19.382 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.382 * [taylor]: Taking taylor expansion of 0 in J 19.382 * [backup-simplify]: Simplify 0 into 0 19.382 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.382 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.383 * [backup-simplify]: Simplify (- 0) into 0 19.383 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.383 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.383 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.383 * [taylor]: Taking taylor expansion of 1/2 in K 19.383 * [backup-simplify]: Simplify 1/2 into 1/2 19.383 * [taylor]: Taking taylor expansion of K in K 19.383 * [backup-simplify]: Simplify 0 into 0 19.383 * [backup-simplify]: Simplify 1 into 1 19.383 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.384 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.384 * [backup-simplify]: Simplify 1 into 1 19.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.385 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.385 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.386 * [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))) 19.386 * [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)))) 19.387 * [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))) 19.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.389 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.390 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.391 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.392 * [backup-simplify]: Simplify (- 0) into 0 19.392 * [backup-simplify]: Simplify (+ 0 0) into 0 19.393 * [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)))) 19.393 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 19.393 * [taylor]: Taking taylor expansion of 1/8 in J 19.393 * [backup-simplify]: Simplify 1/8 into 1/8 19.393 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 19.393 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 19.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.393 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.393 * [taylor]: Taking taylor expansion of 1/2 in J 19.393 * [backup-simplify]: Simplify 1/2 into 1/2 19.393 * [taylor]: Taking taylor expansion of K in J 19.393 * [backup-simplify]: Simplify K into K 19.393 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.394 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.394 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.394 * [taylor]: Taking taylor expansion of (pow J 2) in J 19.394 * [taylor]: Taking taylor expansion of J in J 19.394 * [backup-simplify]: Simplify 0 into 0 19.394 * [backup-simplify]: Simplify 1 into 1 19.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.394 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.394 * [backup-simplify]: Simplify (- 0) into 0 19.394 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.395 * [backup-simplify]: Simplify (* 1 1) into 1 19.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.395 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 19.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.396 * [backup-simplify]: Simplify (+ 0) into 0 19.396 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.398 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.398 * [backup-simplify]: Simplify (- 0) into 0 19.399 * [backup-simplify]: Simplify (+ 0 0) into 0 19.399 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.400 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 19.400 * [taylor]: Taking taylor expansion of 0 in K 19.400 * [backup-simplify]: Simplify 0 into 0 19.400 * [backup-simplify]: Simplify 0 into 0 19.400 * [taylor]: Taking taylor expansion of 0 in K 19.400 * [backup-simplify]: Simplify 0 into 0 19.400 * [backup-simplify]: Simplify 0 into 0 19.401 * [backup-simplify]: Simplify (+ 0) into 0 19.401 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.403 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.403 * [backup-simplify]: Simplify (- 0) into 0 19.403 * [backup-simplify]: Simplify (+ 0 0) into 0 19.404 * [taylor]: Taking taylor expansion of 0 in K 19.404 * [backup-simplify]: Simplify 0 into 0 19.404 * [backup-simplify]: Simplify 0 into 0 19.404 * [backup-simplify]: Simplify (+ 0) into 0 19.404 * [backup-simplify]: Simplify 0 into 0 19.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.405 * [backup-simplify]: Simplify (+ 0) into 0 19.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.408 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.408 * [backup-simplify]: Simplify (- 0) into 0 19.408 * [backup-simplify]: Simplify (+ 0 0) into 0 19.408 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.409 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.410 * [backup-simplify]: Simplify (+ 0) into 0 19.410 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.412 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.412 * [backup-simplify]: Simplify (- 0) into 0 19.413 * [backup-simplify]: Simplify (+ 0 0) into 0 19.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.413 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.414 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 19.414 * [backup-simplify]: Simplify (+ 0 0) into 0 19.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 19.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 19.419 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.420 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.420 * [backup-simplify]: Simplify (- 0) into 0 19.421 * [backup-simplify]: Simplify (+ 0 0) into 0 19.422 * [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 19.422 * [taylor]: Taking taylor expansion of 0 in J 19.422 * [backup-simplify]: Simplify 0 into 0 19.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.426 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.427 * [backup-simplify]: Simplify (- 0) into 0 19.427 * [backup-simplify]: Simplify (+ 0 0) into 0 19.428 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 19.429 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 19.429 * [taylor]: Taking taylor expansion of 0 in K 19.429 * [backup-simplify]: Simplify 0 into 0 19.429 * [backup-simplify]: Simplify 0 into 0 19.429 * [taylor]: Taking taylor expansion of 0 in K 19.429 * [backup-simplify]: Simplify 0 into 0 19.429 * [backup-simplify]: Simplify 0 into 0 19.429 * [backup-simplify]: Simplify 1 into 1 19.430 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) (cos (/ (/ 1 K) 2))) into (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) 19.430 * [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 19.430 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 19.430 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.430 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.430 * [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 19.430 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.430 * [taylor]: Taking taylor expansion of 1 in K 19.430 * [backup-simplify]: Simplify 1 into 1 19.430 * [taylor]: Taking taylor expansion of 1 in K 19.430 * [backup-simplify]: Simplify 1 into 1 19.430 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.430 * [taylor]: Taking taylor expansion of 1/2 in K 19.430 * [backup-simplify]: Simplify 1/2 into 1/2 19.430 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.430 * [taylor]: Taking taylor expansion of J in K 19.430 * [backup-simplify]: Simplify J into J 19.430 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.430 * [taylor]: Taking taylor expansion of U in K 19.430 * [backup-simplify]: Simplify U into U 19.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.430 * [taylor]: Taking taylor expansion of 1/2 in K 19.430 * [backup-simplify]: Simplify 1/2 into 1/2 19.430 * [taylor]: Taking taylor expansion of K in K 19.430 * [backup-simplify]: Simplify 0 into 0 19.430 * [backup-simplify]: Simplify 1 into 1 19.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.431 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.431 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.431 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.431 * [taylor]: Taking taylor expansion of 1/2 in K 19.431 * [backup-simplify]: Simplify 1/2 into 1/2 19.431 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.431 * [taylor]: Taking taylor expansion of J in K 19.431 * [backup-simplify]: Simplify J into J 19.431 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.431 * [taylor]: Taking taylor expansion of U in K 19.431 * [backup-simplify]: Simplify U into U 19.431 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.431 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.431 * [taylor]: Taking taylor expansion of 1/2 in K 19.432 * [backup-simplify]: Simplify 1/2 into 1/2 19.432 * [taylor]: Taking taylor expansion of K in K 19.432 * [backup-simplify]: Simplify 0 into 0 19.432 * [backup-simplify]: Simplify 1 into 1 19.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.432 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.432 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.433 * [backup-simplify]: Simplify (* 1 1) into 1 19.433 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.433 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.433 * [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)))) 19.434 * [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) 19.434 * [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)) 19.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.435 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.435 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.436 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.436 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.437 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 19.437 * [backup-simplify]: Simplify (+ 0 0) into 0 19.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 19.438 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.438 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.438 * [taylor]: Taking taylor expansion of 1/2 in K 19.438 * [backup-simplify]: Simplify 1/2 into 1/2 19.438 * [taylor]: Taking taylor expansion of K in K 19.438 * [backup-simplify]: Simplify 0 into 0 19.438 * [backup-simplify]: Simplify 1 into 1 19.438 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.439 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.439 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 19.439 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.439 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 19.439 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.439 * [taylor]: Taking taylor expansion of 1 in J 19.439 * [backup-simplify]: Simplify 1 into 1 19.439 * [taylor]: Taking taylor expansion of 1 in J 19.439 * [backup-simplify]: Simplify 1 into 1 19.439 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.439 * [taylor]: Taking taylor expansion of 1/2 in J 19.439 * [backup-simplify]: Simplify 1/2 into 1/2 19.439 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.439 * [taylor]: Taking taylor expansion of J in J 19.439 * [backup-simplify]: Simplify 0 into 0 19.439 * [backup-simplify]: Simplify 1 into 1 19.439 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.439 * [taylor]: Taking taylor expansion of U in J 19.439 * [backup-simplify]: Simplify U into U 19.439 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.439 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.439 * [taylor]: Taking taylor expansion of 1/2 in J 19.439 * [backup-simplify]: Simplify 1/2 into 1/2 19.439 * [taylor]: Taking taylor expansion of K in J 19.439 * [backup-simplify]: Simplify K into K 19.439 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.439 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.440 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.440 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.440 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.440 * [backup-simplify]: Simplify (- 0) into 0 19.440 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.440 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.440 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.440 * [taylor]: Taking taylor expansion of 1/2 in J 19.440 * [backup-simplify]: Simplify 1/2 into 1/2 19.440 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.441 * [taylor]: Taking taylor expansion of J in J 19.441 * [backup-simplify]: Simplify 0 into 0 19.441 * [backup-simplify]: Simplify 1 into 1 19.441 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.441 * [taylor]: Taking taylor expansion of U in J 19.441 * [backup-simplify]: Simplify U into U 19.441 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.441 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.441 * [taylor]: Taking taylor expansion of 1/2 in J 19.441 * [backup-simplify]: Simplify 1/2 into 1/2 19.441 * [taylor]: Taking taylor expansion of K in J 19.441 * [backup-simplify]: Simplify K into K 19.441 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.441 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.441 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.441 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.441 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.442 * [backup-simplify]: Simplify (- 0) into 0 19.442 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.442 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.442 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.442 * [backup-simplify]: Simplify (* 1 1) into 1 19.443 * [backup-simplify]: Simplify (+ 1 0) into 1 19.443 * [backup-simplify]: Simplify (sqrt 1) into 1 19.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.444 * [backup-simplify]: Simplify (+ 0 0) into 0 19.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.445 * [taylor]: Taking taylor expansion of 1/2 in J 19.445 * [backup-simplify]: Simplify 1/2 into 1/2 19.445 * [taylor]: Taking taylor expansion of K in J 19.445 * [backup-simplify]: Simplify K into K 19.445 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.445 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.445 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.445 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 19.445 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.445 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 19.445 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.445 * [taylor]: Taking taylor expansion of 1 in U 19.445 * [backup-simplify]: Simplify 1 into 1 19.445 * [taylor]: Taking taylor expansion of 1 in U 19.445 * [backup-simplify]: Simplify 1 into 1 19.445 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.446 * [taylor]: Taking taylor expansion of 1/2 in U 19.446 * [backup-simplify]: Simplify 1/2 into 1/2 19.446 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.446 * [taylor]: Taking taylor expansion of J in U 19.446 * [backup-simplify]: Simplify J into J 19.446 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.446 * [taylor]: Taking taylor expansion of U in U 19.446 * [backup-simplify]: Simplify 0 into 0 19.446 * [backup-simplify]: Simplify 1 into 1 19.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.446 * [taylor]: Taking taylor expansion of 1/2 in U 19.446 * [backup-simplify]: Simplify 1/2 into 1/2 19.446 * [taylor]: Taking taylor expansion of K in U 19.446 * [backup-simplify]: Simplify K into K 19.446 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.446 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.446 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.452 * [backup-simplify]: Simplify (- 0) into 0 19.452 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.452 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.453 * [backup-simplify]: Simplify (+ 0) into 0 19.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.456 * [backup-simplify]: Simplify (- 0) into 0 19.456 * [backup-simplify]: Simplify (+ 0 0) into 0 19.457 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.457 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.457 * [taylor]: Taking taylor expansion of 1/2 in U 19.457 * [backup-simplify]: Simplify 1/2 into 1/2 19.457 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.457 * [taylor]: Taking taylor expansion of J in U 19.457 * [backup-simplify]: Simplify J into J 19.457 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.457 * [taylor]: Taking taylor expansion of U in U 19.457 * [backup-simplify]: Simplify 0 into 0 19.457 * [backup-simplify]: Simplify 1 into 1 19.457 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.457 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.457 * [taylor]: Taking taylor expansion of 1/2 in U 19.457 * [backup-simplify]: Simplify 1/2 into 1/2 19.457 * [taylor]: Taking taylor expansion of K in U 19.457 * [backup-simplify]: Simplify K into K 19.457 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.457 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.457 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.457 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.457 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.458 * [backup-simplify]: Simplify (- 0) into 0 19.458 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.458 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.458 * [backup-simplify]: Simplify (+ 0) into 0 19.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.460 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.461 * [backup-simplify]: Simplify (- 0) into 0 19.461 * [backup-simplify]: Simplify (+ 0 0) into 0 19.461 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.462 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.462 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.462 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.462 * [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))) 19.462 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 19.463 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.465 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.466 * [backup-simplify]: Simplify (- 0) into 0 19.466 * [backup-simplify]: Simplify (+ 0 0) into 0 19.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.467 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.471 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.472 * [backup-simplify]: Simplify (- 0) into 0 19.472 * [backup-simplify]: Simplify (+ 0 0) into 0 19.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.474 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.474 * [backup-simplify]: Simplify (+ 0 0) into 0 19.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.475 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.475 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.475 * [taylor]: Taking taylor expansion of 1/2 in U 19.475 * [backup-simplify]: Simplify 1/2 into 1/2 19.475 * [taylor]: Taking taylor expansion of K in U 19.475 * [backup-simplify]: Simplify K into K 19.475 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.475 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.475 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.475 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 19.475 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.475 * [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 19.475 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.475 * [taylor]: Taking taylor expansion of 1 in U 19.475 * [backup-simplify]: Simplify 1 into 1 19.475 * [taylor]: Taking taylor expansion of 1 in U 19.475 * [backup-simplify]: Simplify 1 into 1 19.475 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.476 * [taylor]: Taking taylor expansion of 1/2 in U 19.476 * [backup-simplify]: Simplify 1/2 into 1/2 19.476 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.476 * [taylor]: Taking taylor expansion of J in U 19.476 * [backup-simplify]: Simplify J into J 19.476 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.476 * [taylor]: Taking taylor expansion of U in U 19.476 * [backup-simplify]: Simplify 0 into 0 19.476 * [backup-simplify]: Simplify 1 into 1 19.476 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.476 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.476 * [taylor]: Taking taylor expansion of 1/2 in U 19.476 * [backup-simplify]: Simplify 1/2 into 1/2 19.476 * [taylor]: Taking taylor expansion of K in U 19.476 * [backup-simplify]: Simplify K into K 19.476 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.476 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.476 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.476 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.476 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.477 * [backup-simplify]: Simplify (- 0) into 0 19.477 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.477 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.477 * [backup-simplify]: Simplify (+ 0) into 0 19.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.478 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.480 * [backup-simplify]: Simplify (- 0) into 0 19.480 * [backup-simplify]: Simplify (+ 0 0) into 0 19.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.481 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.481 * [taylor]: Taking taylor expansion of 1/2 in U 19.481 * [backup-simplify]: Simplify 1/2 into 1/2 19.481 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.481 * [taylor]: Taking taylor expansion of J in U 19.481 * [backup-simplify]: Simplify J into J 19.481 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.481 * [taylor]: Taking taylor expansion of U in U 19.481 * [backup-simplify]: Simplify 0 into 0 19.481 * [backup-simplify]: Simplify 1 into 1 19.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.481 * [taylor]: Taking taylor expansion of 1/2 in U 19.481 * [backup-simplify]: Simplify 1/2 into 1/2 19.481 * [taylor]: Taking taylor expansion of K in U 19.481 * [backup-simplify]: Simplify K into K 19.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.482 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.482 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.482 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.482 * [backup-simplify]: Simplify (- 0) into 0 19.482 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.482 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.483 * [backup-simplify]: Simplify (+ 0) into 0 19.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.485 * [backup-simplify]: Simplify (- 0) into 0 19.485 * [backup-simplify]: Simplify (+ 0 0) into 0 19.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.486 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.486 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.486 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.486 * [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))) 19.487 * [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))) 19.487 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.489 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.489 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.490 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.490 * [backup-simplify]: Simplify (- 0) into 0 19.491 * [backup-simplify]: Simplify (+ 0 0) into 0 19.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.492 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.495 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.496 * [backup-simplify]: Simplify (- 0) into 0 19.496 * [backup-simplify]: Simplify (+ 0 0) into 0 19.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.498 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.498 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.499 * [backup-simplify]: Simplify (+ 0 0) into 0 19.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.499 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.499 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.499 * [taylor]: Taking taylor expansion of 1/2 in U 19.499 * [backup-simplify]: Simplify 1/2 into 1/2 19.499 * [taylor]: Taking taylor expansion of K in U 19.499 * [backup-simplify]: Simplify K into K 19.499 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.499 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.499 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.500 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.500 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.500 * [backup-simplify]: Simplify (- 0) into 0 19.500 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.500 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 19.500 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 19.500 * [taylor]: Taking taylor expansion of 1/2 in J 19.500 * [backup-simplify]: Simplify 1/2 into 1/2 19.501 * [taylor]: Taking taylor expansion of J in J 19.501 * [backup-simplify]: Simplify 0 into 0 19.501 * [backup-simplify]: Simplify 1 into 1 19.501 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.501 * [taylor]: Taking taylor expansion of 0 in K 19.501 * [backup-simplify]: Simplify 0 into 0 19.501 * [backup-simplify]: Simplify 0 into 0 19.501 * [backup-simplify]: Simplify (+ 0) into 0 19.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.502 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.504 * [backup-simplify]: Simplify (- 0) into 0 19.504 * [backup-simplify]: Simplify (+ 0 0) into 0 19.504 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 19.504 * [taylor]: Taking taylor expansion of 0 in J 19.504 * [backup-simplify]: Simplify 0 into 0 19.504 * [taylor]: Taking taylor expansion of 0 in K 19.504 * [backup-simplify]: Simplify 0 into 0 19.504 * [backup-simplify]: Simplify 0 into 0 19.505 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.505 * [taylor]: Taking taylor expansion of 1/2 in K 19.505 * [backup-simplify]: Simplify 1/2 into 1/2 19.505 * [backup-simplify]: Simplify 1/2 into 1/2 19.505 * [backup-simplify]: Simplify 0 into 0 19.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.507 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.507 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.508 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.509 * [backup-simplify]: Simplify (- 0) into 0 19.509 * [backup-simplify]: Simplify (+ 0 0) into 0 19.510 * [backup-simplify]: Simplify (* 1 1) into 1 19.510 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.512 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.514 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.514 * [backup-simplify]: Simplify (- 0) into 0 19.515 * [backup-simplify]: Simplify (+ 0 0) into 0 19.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.516 * [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 19.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.518 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.519 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.519 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.522 * [backup-simplify]: Simplify (- 0) into 0 19.522 * [backup-simplify]: Simplify (+ 0 0) into 0 19.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.524 * [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 19.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.525 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 19.525 * [backup-simplify]: Simplify (+ 1 0) into 1 19.526 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 19.527 * [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) 19.527 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 19.527 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 19.527 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.527 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.527 * [taylor]: Taking taylor expansion of 1/2 in J 19.527 * [backup-simplify]: Simplify 1/2 into 1/2 19.527 * [taylor]: Taking taylor expansion of K in J 19.527 * [backup-simplify]: Simplify K into K 19.527 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.527 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.528 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.528 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.528 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.528 * [backup-simplify]: Simplify (- 0) into 0 19.528 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.528 * [taylor]: Taking taylor expansion of J in J 19.528 * [backup-simplify]: Simplify 0 into 0 19.528 * [backup-simplify]: Simplify 1 into 1 19.528 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 19.529 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 19.529 * [backup-simplify]: Simplify (+ 0) into 0 19.529 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.531 * [backup-simplify]: Simplify (- 0) into 0 19.531 * [backup-simplify]: Simplify (+ 0 0) into 0 19.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 19.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 19.532 * [taylor]: Taking taylor expansion of 0 in K 19.532 * [backup-simplify]: Simplify 0 into 0 19.532 * [backup-simplify]: Simplify 0 into 0 19.532 * [taylor]: Taking taylor expansion of 0 in K 19.532 * [backup-simplify]: Simplify 0 into 0 19.532 * [backup-simplify]: Simplify 0 into 0 19.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 19.532 * [taylor]: Taking taylor expansion of 0 in K 19.532 * [backup-simplify]: Simplify 0 into 0 19.532 * [backup-simplify]: Simplify 0 into 0 19.533 * [backup-simplify]: Simplify 0 into 0 19.533 * [backup-simplify]: Simplify 0 into 0 19.533 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U J)) 19.533 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) (cos (/ (/ 1 (- K)) 2))) into (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 19.533 * [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 19.533 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 19.533 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.533 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.533 * [taylor]: Taking taylor expansion of -1/2 in K 19.533 * [backup-simplify]: Simplify -1/2 into -1/2 19.533 * [taylor]: Taking taylor expansion of K in K 19.533 * [backup-simplify]: Simplify 0 into 0 19.533 * [backup-simplify]: Simplify 1 into 1 19.533 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.533 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.533 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.533 * [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 19.533 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.533 * [taylor]: Taking taylor expansion of 1 in K 19.534 * [backup-simplify]: Simplify 1 into 1 19.534 * [taylor]: Taking taylor expansion of 1 in K 19.534 * [backup-simplify]: Simplify 1 into 1 19.534 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.534 * [taylor]: Taking taylor expansion of 1/2 in K 19.534 * [backup-simplify]: Simplify 1/2 into 1/2 19.534 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.534 * [taylor]: Taking taylor expansion of J in K 19.534 * [backup-simplify]: Simplify J into J 19.534 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.534 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.534 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.534 * [taylor]: Taking taylor expansion of -1/2 in K 19.534 * [backup-simplify]: Simplify -1/2 into -1/2 19.534 * [taylor]: Taking taylor expansion of K in K 19.534 * [backup-simplify]: Simplify 0 into 0 19.534 * [backup-simplify]: Simplify 1 into 1 19.534 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.534 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.534 * [taylor]: Taking taylor expansion of U in K 19.534 * [backup-simplify]: Simplify U into U 19.534 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.534 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.534 * [taylor]: Taking taylor expansion of 1/2 in K 19.534 * [backup-simplify]: Simplify 1/2 into 1/2 19.534 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.534 * [taylor]: Taking taylor expansion of J in K 19.534 * [backup-simplify]: Simplify J into J 19.534 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.534 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.534 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.534 * [taylor]: Taking taylor expansion of -1/2 in K 19.534 * [backup-simplify]: Simplify -1/2 into -1/2 19.535 * [taylor]: Taking taylor expansion of K in K 19.535 * [backup-simplify]: Simplify 0 into 0 19.535 * [backup-simplify]: Simplify 1 into 1 19.535 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.535 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.535 * [taylor]: Taking taylor expansion of U in K 19.535 * [backup-simplify]: Simplify U into U 19.535 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.535 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.535 * [backup-simplify]: Simplify (* 1 1) into 1 19.536 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.536 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.536 * [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)))) 19.536 * [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))))) 19.536 * [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)))))) 19.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.537 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.538 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.538 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 19.538 * [backup-simplify]: Simplify (+ 0 0) into 0 19.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 19.539 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 19.539 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.539 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.539 * [taylor]: Taking taylor expansion of -1/2 in J 19.539 * [backup-simplify]: Simplify -1/2 into -1/2 19.539 * [taylor]: Taking taylor expansion of K in J 19.539 * [backup-simplify]: Simplify K into K 19.539 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.539 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.539 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.539 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.539 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.539 * [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 19.539 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.539 * [taylor]: Taking taylor expansion of 1 in J 19.539 * [backup-simplify]: Simplify 1 into 1 19.539 * [taylor]: Taking taylor expansion of 1 in J 19.539 * [backup-simplify]: Simplify 1 into 1 19.539 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.539 * [taylor]: Taking taylor expansion of 1/2 in J 19.539 * [backup-simplify]: Simplify 1/2 into 1/2 19.539 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.539 * [taylor]: Taking taylor expansion of J in J 19.539 * [backup-simplify]: Simplify 0 into 0 19.539 * [backup-simplify]: Simplify 1 into 1 19.539 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.539 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.539 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.539 * [taylor]: Taking taylor expansion of -1/2 in J 19.539 * [backup-simplify]: Simplify -1/2 into -1/2 19.539 * [taylor]: Taking taylor expansion of K in J 19.539 * [backup-simplify]: Simplify K into K 19.539 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.539 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.539 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.539 * [taylor]: Taking taylor expansion of U in J 19.539 * [backup-simplify]: Simplify U into U 19.539 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.539 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.540 * [backup-simplify]: Simplify (- 0) into 0 19.540 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.540 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.540 * [taylor]: Taking taylor expansion of 1/2 in J 19.540 * [backup-simplify]: Simplify 1/2 into 1/2 19.540 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.540 * [taylor]: Taking taylor expansion of J in J 19.540 * [backup-simplify]: Simplify 0 into 0 19.540 * [backup-simplify]: Simplify 1 into 1 19.540 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.540 * [taylor]: Taking taylor expansion of -1/2 in J 19.540 * [backup-simplify]: Simplify -1/2 into -1/2 19.540 * [taylor]: Taking taylor expansion of K in J 19.540 * [backup-simplify]: Simplify K into K 19.540 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.540 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.540 * [taylor]: Taking taylor expansion of U in J 19.540 * [backup-simplify]: Simplify U into U 19.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.541 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.541 * [backup-simplify]: Simplify (- 0) into 0 19.541 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.541 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.541 * [backup-simplify]: Simplify (* 1 1) into 1 19.541 * [backup-simplify]: Simplify (+ 1 0) into 1 19.542 * [backup-simplify]: Simplify (sqrt 1) into 1 19.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.542 * [backup-simplify]: Simplify (+ 0 0) into 0 19.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.543 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.543 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.543 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.543 * [taylor]: Taking taylor expansion of -1/2 in U 19.543 * [backup-simplify]: Simplify -1/2 into -1/2 19.543 * [taylor]: Taking taylor expansion of K in U 19.543 * [backup-simplify]: Simplify K into K 19.543 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.543 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.543 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.543 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.543 * [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 19.543 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.543 * [taylor]: Taking taylor expansion of 1 in U 19.543 * [backup-simplify]: Simplify 1 into 1 19.543 * [taylor]: Taking taylor expansion of 1 in U 19.543 * [backup-simplify]: Simplify 1 into 1 19.543 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.543 * [taylor]: Taking taylor expansion of 1/2 in U 19.543 * [backup-simplify]: Simplify 1/2 into 1/2 19.543 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.543 * [taylor]: Taking taylor expansion of J in U 19.543 * [backup-simplify]: Simplify J into J 19.543 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.543 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.543 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.543 * [taylor]: Taking taylor expansion of -1/2 in U 19.543 * [backup-simplify]: Simplify -1/2 into -1/2 19.543 * [taylor]: Taking taylor expansion of K in U 19.543 * [backup-simplify]: Simplify K into K 19.543 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.543 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.544 * [taylor]: Taking taylor expansion of U in U 19.544 * [backup-simplify]: Simplify 0 into 0 19.544 * [backup-simplify]: Simplify 1 into 1 19.544 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.544 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.544 * [backup-simplify]: Simplify (- 0) into 0 19.544 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.544 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.544 * [backup-simplify]: Simplify (+ 0) into 0 19.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.546 * [backup-simplify]: Simplify (- 0) into 0 19.546 * [backup-simplify]: Simplify (+ 0 0) into 0 19.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.546 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.546 * [taylor]: Taking taylor expansion of 1/2 in U 19.546 * [backup-simplify]: Simplify 1/2 into 1/2 19.546 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.546 * [taylor]: Taking taylor expansion of J in U 19.546 * [backup-simplify]: Simplify J into J 19.546 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.546 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.546 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.546 * [taylor]: Taking taylor expansion of -1/2 in U 19.546 * [backup-simplify]: Simplify -1/2 into -1/2 19.546 * [taylor]: Taking taylor expansion of K in U 19.546 * [backup-simplify]: Simplify K into K 19.546 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.546 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.547 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.547 * [taylor]: Taking taylor expansion of U in U 19.547 * [backup-simplify]: Simplify 0 into 0 19.547 * [backup-simplify]: Simplify 1 into 1 19.547 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.547 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.547 * [backup-simplify]: Simplify (- 0) into 0 19.547 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.547 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.547 * [backup-simplify]: Simplify (+ 0) into 0 19.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.548 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.549 * [backup-simplify]: Simplify (- 0) into 0 19.549 * [backup-simplify]: Simplify (+ 0 0) into 0 19.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.549 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.549 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.549 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.549 * [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))) 19.550 * [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))) 19.550 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.551 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.552 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.552 * [backup-simplify]: Simplify (- 0) into 0 19.552 * [backup-simplify]: Simplify (+ 0 0) into 0 19.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.553 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.554 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.555 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.555 * [backup-simplify]: Simplify (- 0) into 0 19.556 * [backup-simplify]: Simplify (+ 0 0) into 0 19.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.556 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.557 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.557 * [backup-simplify]: Simplify (+ 0 0) into 0 19.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 19.557 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.557 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.557 * [taylor]: Taking taylor expansion of -1/2 in U 19.557 * [backup-simplify]: Simplify -1/2 into -1/2 19.557 * [taylor]: Taking taylor expansion of K in U 19.557 * [backup-simplify]: Simplify K into K 19.557 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.557 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.557 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.557 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.557 * [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 19.557 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.557 * [taylor]: Taking taylor expansion of 1 in U 19.557 * [backup-simplify]: Simplify 1 into 1 19.557 * [taylor]: Taking taylor expansion of 1 in U 19.557 * [backup-simplify]: Simplify 1 into 1 19.557 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.557 * [taylor]: Taking taylor expansion of 1/2 in U 19.557 * [backup-simplify]: Simplify 1/2 into 1/2 19.558 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.558 * [taylor]: Taking taylor expansion of J in U 19.558 * [backup-simplify]: Simplify J into J 19.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.558 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.558 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.558 * [taylor]: Taking taylor expansion of -1/2 in U 19.558 * [backup-simplify]: Simplify -1/2 into -1/2 19.558 * [taylor]: Taking taylor expansion of K in U 19.558 * [backup-simplify]: Simplify K into K 19.558 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.558 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.558 * [taylor]: Taking taylor expansion of U in U 19.558 * [backup-simplify]: Simplify 0 into 0 19.558 * [backup-simplify]: Simplify 1 into 1 19.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.558 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.558 * [backup-simplify]: Simplify (- 0) into 0 19.558 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.559 * [backup-simplify]: Simplify (+ 0) into 0 19.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.559 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.560 * [backup-simplify]: Simplify (- 0) into 0 19.560 * [backup-simplify]: Simplify (+ 0 0) into 0 19.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.561 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.561 * [taylor]: Taking taylor expansion of 1/2 in U 19.561 * [backup-simplify]: Simplify 1/2 into 1/2 19.561 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.561 * [taylor]: Taking taylor expansion of J in U 19.561 * [backup-simplify]: Simplify J into J 19.561 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.561 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.561 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.561 * [taylor]: Taking taylor expansion of -1/2 in U 19.561 * [backup-simplify]: Simplify -1/2 into -1/2 19.561 * [taylor]: Taking taylor expansion of K in U 19.561 * [backup-simplify]: Simplify K into K 19.561 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.561 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.561 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.561 * [taylor]: Taking taylor expansion of U in U 19.561 * [backup-simplify]: Simplify 0 into 0 19.561 * [backup-simplify]: Simplify 1 into 1 19.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.561 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.561 * [backup-simplify]: Simplify (- 0) into 0 19.561 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.562 * [backup-simplify]: Simplify (+ 0) into 0 19.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.563 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.563 * [backup-simplify]: Simplify (- 0) into 0 19.564 * [backup-simplify]: Simplify (+ 0 0) into 0 19.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.564 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.565 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.565 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.565 * [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))) 19.565 * [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))) 19.565 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.567 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.567 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.569 * [backup-simplify]: Simplify (- 0) into 0 19.569 * [backup-simplify]: Simplify (+ 0 0) into 0 19.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.570 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.572 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.574 * [backup-simplify]: Simplify (- 0) into 0 19.575 * [backup-simplify]: Simplify (+ 0 0) into 0 19.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.576 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.576 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.577 * [backup-simplify]: Simplify (+ 0 0) into 0 19.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.577 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.578 * [backup-simplify]: Simplify (- 0) into 0 19.578 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.578 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 19.578 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 19.578 * [taylor]: Taking taylor expansion of 1/2 in J 19.578 * [backup-simplify]: Simplify 1/2 into 1/2 19.578 * [taylor]: Taking taylor expansion of J in J 19.578 * [backup-simplify]: Simplify 0 into 0 19.578 * [backup-simplify]: Simplify 1 into 1 19.583 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.584 * [taylor]: Taking taylor expansion of 0 in K 19.584 * [backup-simplify]: Simplify 0 into 0 19.584 * [backup-simplify]: Simplify 0 into 0 19.584 * [backup-simplify]: Simplify (+ 0) into 0 19.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.587 * [backup-simplify]: Simplify (- 0) into 0 19.587 * [backup-simplify]: Simplify (+ 0 0) into 0 19.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.587 * [taylor]: Taking taylor expansion of 0 in J 19.587 * [backup-simplify]: Simplify 0 into 0 19.587 * [taylor]: Taking taylor expansion of 0 in K 19.587 * [backup-simplify]: Simplify 0 into 0 19.587 * [backup-simplify]: Simplify 0 into 0 19.588 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.588 * [taylor]: Taking taylor expansion of 1/2 in K 19.588 * [backup-simplify]: Simplify 1/2 into 1/2 19.588 * [backup-simplify]: Simplify 1/2 into 1/2 19.588 * [backup-simplify]: Simplify 0 into 0 19.589 * [backup-simplify]: Simplify (* 1 1) into 1 19.590 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.593 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.594 * [backup-simplify]: Simplify (- 0) into 0 19.594 * [backup-simplify]: Simplify (+ 0 0) into 0 19.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.595 * [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 19.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.597 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.598 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.598 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.601 * [backup-simplify]: Simplify (- 0) into 0 19.601 * [backup-simplify]: Simplify (+ 0 0) into 0 19.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.603 * [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 19.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.604 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 19.605 * [backup-simplify]: Simplify (+ 1 0) into 1 19.606 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 19.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.607 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.607 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.608 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.609 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.609 * [backup-simplify]: Simplify (- 0) into 0 19.609 * [backup-simplify]: Simplify (+ 0 0) into 0 19.610 * [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) 19.610 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 19.610 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 19.610 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.610 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.610 * [taylor]: Taking taylor expansion of -1/2 in J 19.610 * [backup-simplify]: Simplify -1/2 into -1/2 19.610 * [taylor]: Taking taylor expansion of K in J 19.610 * [backup-simplify]: Simplify K into K 19.610 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.611 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.611 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.611 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.611 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.611 * [backup-simplify]: Simplify (- 0) into 0 19.611 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.611 * [taylor]: Taking taylor expansion of J in J 19.611 * [backup-simplify]: Simplify 0 into 0 19.611 * [backup-simplify]: Simplify 1 into 1 19.611 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 19.612 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 19.612 * [backup-simplify]: Simplify (+ 0) into 0 19.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.613 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.614 * [backup-simplify]: Simplify (- 0) into 0 19.615 * [backup-simplify]: Simplify (+ 0 0) into 0 19.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 19.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 19.616 * [taylor]: Taking taylor expansion of 0 in K 19.616 * [backup-simplify]: Simplify 0 into 0 19.616 * [backup-simplify]: Simplify 0 into 0 19.616 * [taylor]: Taking taylor expansion of 0 in K 19.616 * [backup-simplify]: Simplify 0 into 0 19.616 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 19.617 * [taylor]: Taking taylor expansion of 0 in K 19.617 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U J)) 19.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 19.618 * [backup-simplify]: Simplify (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) into (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) 19.618 * [approximate]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in (U J K) around 0 19.618 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.618 * [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 19.618 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.618 * [taylor]: Taking taylor expansion of 1 in K 19.618 * [backup-simplify]: Simplify 1 into 1 19.618 * [taylor]: Taking taylor expansion of 1 in K 19.618 * [backup-simplify]: Simplify 1 into 1 19.618 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 19.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.618 * [taylor]: Taking taylor expansion of 1/2 in K 19.618 * [backup-simplify]: Simplify 1/2 into 1/2 19.618 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.618 * [taylor]: Taking taylor expansion of U in K 19.618 * [backup-simplify]: Simplify U into U 19.618 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.618 * [taylor]: Taking taylor expansion of 1/2 in K 19.618 * [backup-simplify]: Simplify 1/2 into 1/2 19.618 * [taylor]: Taking taylor expansion of K in K 19.618 * [backup-simplify]: Simplify 0 into 0 19.618 * [backup-simplify]: Simplify 1 into 1 19.619 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.620 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.620 * [taylor]: Taking taylor expansion of J in K 19.620 * [backup-simplify]: Simplify J into J 19.620 * [backup-simplify]: Simplify (* 1 J) into J 19.620 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 19.620 * [taylor]: Taking taylor expansion of 1/2 in K 19.620 * [backup-simplify]: Simplify 1/2 into 1/2 19.620 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 19.620 * [taylor]: Taking taylor expansion of U in K 19.620 * [backup-simplify]: Simplify U into U 19.620 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 19.620 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 19.620 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 19.620 * [taylor]: Taking taylor expansion of 1/2 in K 19.620 * [backup-simplify]: Simplify 1/2 into 1/2 19.620 * [taylor]: Taking taylor expansion of K in K 19.620 * [backup-simplify]: Simplify 0 into 0 19.620 * [backup-simplify]: Simplify 1 into 1 19.621 * [backup-simplify]: Simplify (* 1/2 0) into 0 19.622 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 19.622 * [taylor]: Taking taylor expansion of J in K 19.622 * [backup-simplify]: Simplify J into J 19.622 * [backup-simplify]: Simplify (* 1 J) into J 19.622 * [backup-simplify]: Simplify (/ U J) into (/ U J) 19.622 * [backup-simplify]: Simplify (* 1 1) into 1 19.622 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.622 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 19.623 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 19.623 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 19.623 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 19.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.624 * [backup-simplify]: Simplify (+ 0) into 0 19.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.625 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.626 * [backup-simplify]: Simplify (+ 0) into 0 19.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 19.626 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 19.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 19.627 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 19.627 * [backup-simplify]: Simplify (+ 0 0) into 0 19.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 19.628 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.628 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.628 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 19.628 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.628 * [taylor]: Taking taylor expansion of 1 in J 19.628 * [backup-simplify]: Simplify 1 into 1 19.628 * [taylor]: Taking taylor expansion of 1 in J 19.628 * [backup-simplify]: Simplify 1 into 1 19.628 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 19.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.628 * [taylor]: Taking taylor expansion of 1/2 in J 19.628 * [backup-simplify]: Simplify 1/2 into 1/2 19.628 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.628 * [taylor]: Taking taylor expansion of U in J 19.628 * [backup-simplify]: Simplify U into U 19.628 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.628 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.628 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.628 * [taylor]: Taking taylor expansion of 1/2 in J 19.628 * [backup-simplify]: Simplify 1/2 into 1/2 19.628 * [taylor]: Taking taylor expansion of K in J 19.628 * [backup-simplify]: Simplify K into K 19.628 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.628 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.628 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.628 * [taylor]: Taking taylor expansion of J in J 19.628 * [backup-simplify]: Simplify 0 into 0 19.628 * [backup-simplify]: Simplify 1 into 1 19.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.629 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.629 * [backup-simplify]: Simplify (- 0) into 0 19.629 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.630 * [backup-simplify]: Simplify (+ 0) into 0 19.630 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.632 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.632 * [backup-simplify]: Simplify (- 0) into 0 19.632 * [backup-simplify]: Simplify (+ 0 0) into 0 19.633 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.633 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 19.633 * [taylor]: Taking taylor expansion of 1/2 in J 19.633 * [backup-simplify]: Simplify 1/2 into 1/2 19.633 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 19.633 * [taylor]: Taking taylor expansion of U in J 19.633 * [backup-simplify]: Simplify U into U 19.633 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 19.633 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.633 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.633 * [taylor]: Taking taylor expansion of 1/2 in J 19.633 * [backup-simplify]: Simplify 1/2 into 1/2 19.633 * [taylor]: Taking taylor expansion of K in J 19.633 * [backup-simplify]: Simplify K into K 19.633 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.634 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.634 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.634 * [taylor]: Taking taylor expansion of J in J 19.634 * [backup-simplify]: Simplify 0 into 0 19.634 * [backup-simplify]: Simplify 1 into 1 19.634 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.634 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.634 * [backup-simplify]: Simplify (- 0) into 0 19.634 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.634 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 19.635 * [backup-simplify]: Simplify (+ 0) into 0 19.635 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.637 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.637 * [backup-simplify]: Simplify (- 0) into 0 19.638 * [backup-simplify]: Simplify (+ 0 0) into 0 19.638 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 19.638 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 19.638 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.638 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.639 * [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))) 19.639 * [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))) 19.639 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 19.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.641 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.643 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.643 * [backup-simplify]: Simplify (- 0) into 0 19.644 * [backup-simplify]: Simplify (+ 0 0) into 0 19.644 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.645 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.647 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.648 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.649 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.649 * [backup-simplify]: Simplify (- 0) into 0 19.650 * [backup-simplify]: Simplify (+ 0 0) into 0 19.651 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.651 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 19.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 19.652 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 19.652 * [backup-simplify]: Simplify (+ 0 0) into 0 19.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 19.653 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.653 * [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 19.653 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.653 * [taylor]: Taking taylor expansion of 1 in U 19.653 * [backup-simplify]: Simplify 1 into 1 19.653 * [taylor]: Taking taylor expansion of 1 in U 19.653 * [backup-simplify]: Simplify 1 into 1 19.653 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.653 * [taylor]: Taking taylor expansion of 1/2 in U 19.653 * [backup-simplify]: Simplify 1/2 into 1/2 19.653 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.653 * [taylor]: Taking taylor expansion of U in U 19.653 * [backup-simplify]: Simplify 0 into 0 19.653 * [backup-simplify]: Simplify 1 into 1 19.653 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.653 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.653 * [taylor]: Taking taylor expansion of 1/2 in U 19.653 * [backup-simplify]: Simplify 1/2 into 1/2 19.653 * [taylor]: Taking taylor expansion of K in U 19.653 * [backup-simplify]: Simplify K into K 19.653 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.653 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.654 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.654 * [taylor]: Taking taylor expansion of J in U 19.654 * [backup-simplify]: Simplify J into J 19.654 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.654 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.654 * [backup-simplify]: Simplify (- 0) into 0 19.654 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.654 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.654 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.655 * [taylor]: Taking taylor expansion of 1/2 in U 19.655 * [backup-simplify]: Simplify 1/2 into 1/2 19.655 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.655 * [taylor]: Taking taylor expansion of U in U 19.655 * [backup-simplify]: Simplify 0 into 0 19.655 * [backup-simplify]: Simplify 1 into 1 19.655 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.655 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.655 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.655 * [taylor]: Taking taylor expansion of 1/2 in U 19.655 * [backup-simplify]: Simplify 1/2 into 1/2 19.655 * [taylor]: Taking taylor expansion of K in U 19.655 * [backup-simplify]: Simplify K into K 19.655 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.655 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.655 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.655 * [taylor]: Taking taylor expansion of J in U 19.655 * [backup-simplify]: Simplify J into J 19.655 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.655 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.656 * [backup-simplify]: Simplify (- 0) into 0 19.656 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.656 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.656 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.656 * [backup-simplify]: Simplify (* 1 1) into 1 19.657 * [backup-simplify]: Simplify (+ 1 0) into 1 19.657 * [backup-simplify]: Simplify (sqrt 1) into 1 19.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.658 * [backup-simplify]: Simplify (+ 0 0) into 0 19.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.659 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 19.659 * [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 19.659 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.659 * [taylor]: Taking taylor expansion of 1 in U 19.659 * [backup-simplify]: Simplify 1 into 1 19.659 * [taylor]: Taking taylor expansion of 1 in U 19.659 * [backup-simplify]: Simplify 1 into 1 19.659 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 19.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.659 * [taylor]: Taking taylor expansion of 1/2 in U 19.659 * [backup-simplify]: Simplify 1/2 into 1/2 19.659 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.659 * [taylor]: Taking taylor expansion of U in U 19.659 * [backup-simplify]: Simplify 0 into 0 19.659 * [backup-simplify]: Simplify 1 into 1 19.659 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.659 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.659 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.660 * [taylor]: Taking taylor expansion of 1/2 in U 19.660 * [backup-simplify]: Simplify 1/2 into 1/2 19.660 * [taylor]: Taking taylor expansion of K in U 19.660 * [backup-simplify]: Simplify K into K 19.660 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.660 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.660 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.660 * [taylor]: Taking taylor expansion of J in U 19.660 * [backup-simplify]: Simplify J into J 19.660 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.660 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.661 * [backup-simplify]: Simplify (- 0) into 0 19.661 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.661 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.661 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 19.661 * [taylor]: Taking taylor expansion of 1/2 in U 19.661 * [backup-simplify]: Simplify 1/2 into 1/2 19.661 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 19.661 * [taylor]: Taking taylor expansion of U in U 19.661 * [backup-simplify]: Simplify 0 into 0 19.661 * [backup-simplify]: Simplify 1 into 1 19.661 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 19.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 19.661 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 19.661 * [taylor]: Taking taylor expansion of 1/2 in U 19.661 * [backup-simplify]: Simplify 1/2 into 1/2 19.661 * [taylor]: Taking taylor expansion of K in U 19.661 * [backup-simplify]: Simplify K into K 19.661 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.661 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.661 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.661 * [taylor]: Taking taylor expansion of J in U 19.661 * [backup-simplify]: Simplify J into J 19.661 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.662 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.662 * [backup-simplify]: Simplify (- 0) into 0 19.662 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.662 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 19.662 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 19.663 * [backup-simplify]: Simplify (* 1 1) into 1 19.663 * [backup-simplify]: Simplify (+ 1 0) into 1 19.663 * [backup-simplify]: Simplify (sqrt 1) into 1 19.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.664 * [backup-simplify]: Simplify (+ 0 0) into 0 19.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.664 * [taylor]: Taking taylor expansion of 1 in J 19.664 * [backup-simplify]: Simplify 1 into 1 19.664 * [taylor]: Taking taylor expansion of 0 in J 19.664 * [backup-simplify]: Simplify 0 into 0 19.664 * [taylor]: Taking taylor expansion of 1 in K 19.664 * [backup-simplify]: Simplify 1 into 1 19.664 * [backup-simplify]: Simplify 1 into 1 19.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.665 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.665 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 19.665 * [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))) 19.666 * [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)))) 19.666 * [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))) 19.666 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 19.666 * [taylor]: Taking taylor expansion of 1/8 in J 19.666 * [backup-simplify]: Simplify 1/8 into 1/8 19.667 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 19.667 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 19.667 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 19.667 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 19.667 * [taylor]: Taking taylor expansion of 1/2 in J 19.667 * [backup-simplify]: Simplify 1/2 into 1/2 19.667 * [taylor]: Taking taylor expansion of K in J 19.667 * [backup-simplify]: Simplify K into K 19.667 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 19.667 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 19.667 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 19.667 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 19.667 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 19.667 * [backup-simplify]: Simplify (- 0) into 0 19.667 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 19.667 * [taylor]: Taking taylor expansion of (pow J 2) in J 19.667 * [taylor]: Taking taylor expansion of J in J 19.667 * [backup-simplify]: Simplify 0 into 0 19.667 * [backup-simplify]: Simplify 1 into 1 19.667 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 19.668 * [backup-simplify]: Simplify (* 1 1) into 1 19.668 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 19.668 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 19.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.668 * [backup-simplify]: Simplify (+ 0) into 0 19.669 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.670 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.670 * [backup-simplify]: Simplify (- 0) into 0 19.670 * [backup-simplify]: Simplify (+ 0 0) into 0 19.670 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 19.671 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 19.671 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 19.671 * [taylor]: Taking taylor expansion of 0 in K 19.671 * [backup-simplify]: Simplify 0 into 0 19.671 * [backup-simplify]: Simplify 0 into 0 19.671 * [taylor]: Taking taylor expansion of 0 in K 19.671 * [backup-simplify]: Simplify 0 into 0 19.671 * [backup-simplify]: Simplify 0 into 0 19.671 * [taylor]: Taking taylor expansion of 0 in K 19.671 * [backup-simplify]: Simplify 0 into 0 19.671 * [backup-simplify]: Simplify 0 into 0 19.671 * [backup-simplify]: Simplify 0 into 0 19.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.672 * [backup-simplify]: Simplify (+ 0) into 0 19.672 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.673 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.674 * [backup-simplify]: Simplify (- 0) into 0 19.674 * [backup-simplify]: Simplify (+ 0 0) into 0 19.674 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.674 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.675 * [backup-simplify]: Simplify (+ 0) into 0 19.675 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 19.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 19.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.676 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 19.676 * [backup-simplify]: Simplify (- 0) into 0 19.676 * [backup-simplify]: Simplify (+ 0 0) into 0 19.677 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 19.677 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 19.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 19.677 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 19.677 * [backup-simplify]: Simplify (+ 0 0) into 0 19.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 19.678 * [taylor]: Taking taylor expansion of 0 in J 19.678 * [backup-simplify]: Simplify 0 into 0 19.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.680 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 19.681 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.681 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.681 * [backup-simplify]: Simplify (- 0) into 0 19.681 * [backup-simplify]: Simplify (+ 0 0) into 0 19.682 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 19.682 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 19.682 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 19.682 * [taylor]: Taking taylor expansion of 0 in K 19.682 * [backup-simplify]: Simplify 0 into 0 19.682 * [backup-simplify]: Simplify 0 into 0 19.683 * [taylor]: Taking taylor expansion of 0 in K 19.683 * [backup-simplify]: Simplify 0 into 0 19.683 * [backup-simplify]: Simplify 0 into 0 19.683 * [backup-simplify]: Simplify 1 into 1 19.683 * [backup-simplify]: Simplify (hypot 1 (/ (/ (/ 1 U) (/ 1 J)) (* (cos (/ (/ 1 K) 2)) 2))) into (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 19.683 * [approximate]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in (U J K) around 0 19.683 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.683 * [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 19.683 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.683 * [taylor]: Taking taylor expansion of 1 in K 19.683 * [backup-simplify]: Simplify 1 into 1 19.683 * [taylor]: Taking taylor expansion of 1 in K 19.683 * [backup-simplify]: Simplify 1 into 1 19.683 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 19.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.683 * [taylor]: Taking taylor expansion of 1/2 in K 19.683 * [backup-simplify]: Simplify 1/2 into 1/2 19.683 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.683 * [taylor]: Taking taylor expansion of J in K 19.683 * [backup-simplify]: Simplify J into J 19.683 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.683 * [taylor]: Taking taylor expansion of U in K 19.683 * [backup-simplify]: Simplify U into U 19.683 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.683 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.683 * [taylor]: Taking taylor expansion of 1/2 in K 19.683 * [backup-simplify]: Simplify 1/2 into 1/2 19.683 * [taylor]: Taking taylor expansion of K in K 19.683 * [backup-simplify]: Simplify 0 into 0 19.683 * [backup-simplify]: Simplify 1 into 1 19.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.683 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.684 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.684 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 19.684 * [taylor]: Taking taylor expansion of 1/2 in K 19.684 * [backup-simplify]: Simplify 1/2 into 1/2 19.684 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 19.684 * [taylor]: Taking taylor expansion of J in K 19.684 * [backup-simplify]: Simplify J into J 19.684 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 19.684 * [taylor]: Taking taylor expansion of U in K 19.684 * [backup-simplify]: Simplify U into U 19.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.684 * [taylor]: Taking taylor expansion of 1/2 in K 19.684 * [backup-simplify]: Simplify 1/2 into 1/2 19.684 * [taylor]: Taking taylor expansion of K in K 19.684 * [backup-simplify]: Simplify 0 into 0 19.684 * [backup-simplify]: Simplify 1 into 1 19.684 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.684 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.684 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 19.685 * [backup-simplify]: Simplify (* 1 1) into 1 19.685 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.685 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 19.685 * [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)))) 19.685 * [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) 19.685 * [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)) 19.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.686 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.686 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.686 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 19.687 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 19.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 19.687 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 19.687 * [backup-simplify]: Simplify (+ 0 0) into 0 19.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 19.688 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.688 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.688 * [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 19.688 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.688 * [taylor]: Taking taylor expansion of 1 in J 19.688 * [backup-simplify]: Simplify 1 into 1 19.688 * [taylor]: Taking taylor expansion of 1 in J 19.688 * [backup-simplify]: Simplify 1 into 1 19.688 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 19.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.688 * [taylor]: Taking taylor expansion of 1/2 in J 19.688 * [backup-simplify]: Simplify 1/2 into 1/2 19.688 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.688 * [taylor]: Taking taylor expansion of J in J 19.688 * [backup-simplify]: Simplify 0 into 0 19.688 * [backup-simplify]: Simplify 1 into 1 19.688 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.688 * [taylor]: Taking taylor expansion of U in J 19.688 * [backup-simplify]: Simplify U into U 19.688 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.688 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.688 * [taylor]: Taking taylor expansion of 1/2 in J 19.688 * [backup-simplify]: Simplify 1/2 into 1/2 19.688 * [taylor]: Taking taylor expansion of K in J 19.688 * [backup-simplify]: Simplify K into K 19.688 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.688 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.688 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.688 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.688 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.689 * [backup-simplify]: Simplify (- 0) into 0 19.689 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.689 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.689 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 19.689 * [taylor]: Taking taylor expansion of 1/2 in J 19.689 * [backup-simplify]: Simplify 1/2 into 1/2 19.689 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 19.689 * [taylor]: Taking taylor expansion of J in J 19.689 * [backup-simplify]: Simplify 0 into 0 19.689 * [backup-simplify]: Simplify 1 into 1 19.689 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 19.689 * [taylor]: Taking taylor expansion of U in J 19.689 * [backup-simplify]: Simplify U into U 19.689 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.689 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.689 * [taylor]: Taking taylor expansion of 1/2 in J 19.689 * [backup-simplify]: Simplify 1/2 into 1/2 19.689 * [taylor]: Taking taylor expansion of K in J 19.689 * [backup-simplify]: Simplify K into K 19.689 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.689 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.689 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.689 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.689 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.689 * [backup-simplify]: Simplify (- 0) into 0 19.690 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.690 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 19.690 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 19.690 * [backup-simplify]: Simplify (* 1 1) into 1 19.690 * [backup-simplify]: Simplify (+ 1 0) into 1 19.691 * [backup-simplify]: Simplify (sqrt 1) into 1 19.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.692 * [backup-simplify]: Simplify (+ 0 0) into 0 19.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.692 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.692 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.693 * [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 19.693 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.693 * [taylor]: Taking taylor expansion of 1 in U 19.693 * [backup-simplify]: Simplify 1 into 1 19.693 * [taylor]: Taking taylor expansion of 1 in U 19.693 * [backup-simplify]: Simplify 1 into 1 19.693 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.693 * [taylor]: Taking taylor expansion of 1/2 in U 19.693 * [backup-simplify]: Simplify 1/2 into 1/2 19.693 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.693 * [taylor]: Taking taylor expansion of J in U 19.693 * [backup-simplify]: Simplify J into J 19.693 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.693 * [taylor]: Taking taylor expansion of U in U 19.693 * [backup-simplify]: Simplify 0 into 0 19.693 * [backup-simplify]: Simplify 1 into 1 19.693 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.693 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.693 * [taylor]: Taking taylor expansion of 1/2 in U 19.693 * [backup-simplify]: Simplify 1/2 into 1/2 19.693 * [taylor]: Taking taylor expansion of K in U 19.693 * [backup-simplify]: Simplify K into K 19.693 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.693 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.693 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.694 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.694 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.694 * [backup-simplify]: Simplify (- 0) into 0 19.694 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.694 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.695 * [backup-simplify]: Simplify (+ 0) into 0 19.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.695 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.696 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.697 * [backup-simplify]: Simplify (- 0) into 0 19.697 * [backup-simplify]: Simplify (+ 0 0) into 0 19.698 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.698 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.698 * [taylor]: Taking taylor expansion of 1/2 in U 19.698 * [backup-simplify]: Simplify 1/2 into 1/2 19.698 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.698 * [taylor]: Taking taylor expansion of J in U 19.698 * [backup-simplify]: Simplify J into J 19.698 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.698 * [taylor]: Taking taylor expansion of U in U 19.698 * [backup-simplify]: Simplify 0 into 0 19.698 * [backup-simplify]: Simplify 1 into 1 19.698 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.698 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.698 * [taylor]: Taking taylor expansion of 1/2 in U 19.698 * [backup-simplify]: Simplify 1/2 into 1/2 19.698 * [taylor]: Taking taylor expansion of K in U 19.698 * [backup-simplify]: Simplify K into K 19.698 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.699 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.699 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.699 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.699 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.699 * [backup-simplify]: Simplify (- 0) into 0 19.699 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.699 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.700 * [backup-simplify]: Simplify (+ 0) into 0 19.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.702 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.702 * [backup-simplify]: Simplify (- 0) into 0 19.703 * [backup-simplify]: Simplify (+ 0 0) into 0 19.703 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.703 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.703 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.703 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.704 * [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))) 19.704 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 19.704 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.707 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.708 * [backup-simplify]: Simplify (- 0) into 0 19.708 * [backup-simplify]: Simplify (+ 0 0) into 0 19.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.710 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.712 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.712 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.714 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.714 * [backup-simplify]: Simplify (- 0) into 0 19.714 * [backup-simplify]: Simplify (+ 0 0) into 0 19.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.721 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.721 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.722 * [backup-simplify]: Simplify (+ 0 0) into 0 19.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.722 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.722 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 19.722 * [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 19.722 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.722 * [taylor]: Taking taylor expansion of 1 in U 19.722 * [backup-simplify]: Simplify 1 into 1 19.722 * [taylor]: Taking taylor expansion of 1 in U 19.722 * [backup-simplify]: Simplify 1 into 1 19.722 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 19.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.723 * [taylor]: Taking taylor expansion of 1/2 in U 19.723 * [backup-simplify]: Simplify 1/2 into 1/2 19.723 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.723 * [taylor]: Taking taylor expansion of J in U 19.723 * [backup-simplify]: Simplify J into J 19.723 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.723 * [taylor]: Taking taylor expansion of U in U 19.723 * [backup-simplify]: Simplify 0 into 0 19.723 * [backup-simplify]: Simplify 1 into 1 19.723 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.723 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.723 * [taylor]: Taking taylor expansion of 1/2 in U 19.723 * [backup-simplify]: Simplify 1/2 into 1/2 19.723 * [taylor]: Taking taylor expansion of K in U 19.723 * [backup-simplify]: Simplify K into K 19.723 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.723 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.723 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.723 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.723 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.724 * [backup-simplify]: Simplify (- 0) into 0 19.724 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.724 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.724 * [backup-simplify]: Simplify (+ 0) into 0 19.725 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.725 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.726 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.726 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.726 * [backup-simplify]: Simplify (- 0) into 0 19.727 * [backup-simplify]: Simplify (+ 0 0) into 0 19.727 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.727 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 19.727 * [taylor]: Taking taylor expansion of 1/2 in U 19.727 * [backup-simplify]: Simplify 1/2 into 1/2 19.727 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 19.727 * [taylor]: Taking taylor expansion of J in U 19.728 * [backup-simplify]: Simplify J into J 19.728 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 19.728 * [taylor]: Taking taylor expansion of U in U 19.728 * [backup-simplify]: Simplify 0 into 0 19.728 * [backup-simplify]: Simplify 1 into 1 19.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 19.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 19.728 * [taylor]: Taking taylor expansion of 1/2 in U 19.728 * [backup-simplify]: Simplify 1/2 into 1/2 19.728 * [taylor]: Taking taylor expansion of K in U 19.728 * [backup-simplify]: Simplify K into K 19.728 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.728 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.728 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.728 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.728 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.728 * [backup-simplify]: Simplify (- 0) into 0 19.729 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.729 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 19.729 * [backup-simplify]: Simplify (+ 0) into 0 19.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.731 * [backup-simplify]: Simplify (- 0) into 0 19.732 * [backup-simplify]: Simplify (+ 0 0) into 0 19.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 19.732 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 19.732 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.732 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.733 * [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))) 19.733 * [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))) 19.733 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 19.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.736 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.737 * [backup-simplify]: Simplify (- 0) into 0 19.737 * [backup-simplify]: Simplify (+ 0 0) into 0 19.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.738 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.742 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.743 * [backup-simplify]: Simplify (- 0) into 0 19.743 * [backup-simplify]: Simplify (+ 0 0) into 0 19.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 19.744 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 19.745 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.745 * [backup-simplify]: Simplify (+ 0 0) into 0 19.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 19.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 19.746 * [taylor]: Taking taylor expansion of 1/2 in J 19.746 * [backup-simplify]: Simplify 1/2 into 1/2 19.746 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 19.746 * [taylor]: Taking taylor expansion of J in J 19.746 * [backup-simplify]: Simplify 0 into 0 19.746 * [backup-simplify]: Simplify 1 into 1 19.746 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.746 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.746 * [taylor]: Taking taylor expansion of 1/2 in J 19.746 * [backup-simplify]: Simplify 1/2 into 1/2 19.746 * [taylor]: Taking taylor expansion of K in J 19.746 * [backup-simplify]: Simplify K into K 19.746 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.746 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.747 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.747 * [backup-simplify]: Simplify (- 0) into 0 19.747 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.747 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 19.747 * [taylor]: Taking taylor expansion of 0 in J 19.747 * [backup-simplify]: Simplify 0 into 0 19.747 * [taylor]: Taking taylor expansion of 0 in K 19.747 * [backup-simplify]: Simplify 0 into 0 19.747 * [backup-simplify]: Simplify 0 into 0 19.747 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 19.747 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 19.747 * [taylor]: Taking taylor expansion of 1/2 in K 19.748 * [backup-simplify]: Simplify 1/2 into 1/2 19.748 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 19.748 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 19.748 * [taylor]: Taking taylor expansion of 1/2 in K 19.748 * [backup-simplify]: Simplify 1/2 into 1/2 19.748 * [taylor]: Taking taylor expansion of K in K 19.748 * [backup-simplify]: Simplify 0 into 0 19.748 * [backup-simplify]: Simplify 1 into 1 19.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.748 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.748 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.748 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 19.749 * [backup-simplify]: Simplify (* 1 1) into 1 19.750 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.751 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.754 * [backup-simplify]: Simplify (- 0) into 0 19.754 * [backup-simplify]: Simplify (+ 0 0) into 0 19.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.756 * [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 19.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.758 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.759 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.762 * [backup-simplify]: Simplify (- 0) into 0 19.762 * [backup-simplify]: Simplify (+ 0 0) into 0 19.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 19.764 * [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 19.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 19.765 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 19.766 * [backup-simplify]: Simplify (+ 1 0) into 1 19.766 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 19.766 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 19.766 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 19.767 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 19.767 * [taylor]: Taking taylor expansion of 1/2 in J 19.767 * [backup-simplify]: Simplify 1/2 into 1/2 19.767 * [taylor]: Taking taylor expansion of K in J 19.767 * [backup-simplify]: Simplify K into K 19.767 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 19.767 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 19.767 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 19.767 * [taylor]: Taking taylor expansion of J in J 19.767 * [backup-simplify]: Simplify 0 into 0 19.767 * [backup-simplify]: Simplify 1 into 1 19.767 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.767 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 19.767 * [backup-simplify]: Simplify (- 0) into 0 19.768 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 19.768 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 19.768 * [backup-simplify]: Simplify (+ 0) into 0 19.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.769 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.770 * [backup-simplify]: Simplify (- 0) into 0 19.771 * [backup-simplify]: Simplify (+ 0 0) into 0 19.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 19.772 * [taylor]: Taking taylor expansion of 0 in K 19.772 * [backup-simplify]: Simplify 0 into 0 19.772 * [backup-simplify]: Simplify 0 into 0 19.772 * [taylor]: Taking taylor expansion of 0 in K 19.772 * [backup-simplify]: Simplify 0 into 0 19.772 * [backup-simplify]: Simplify 0 into 0 19.772 * [backup-simplify]: Simplify (+ 0) into 0 19.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 19.773 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 19.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 19.774 * [backup-simplify]: Simplify (- 0) into 0 19.775 * [backup-simplify]: Simplify (+ 0 0) into 0 19.775 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 19.775 * [taylor]: Taking taylor expansion of 0 in K 19.775 * [backup-simplify]: Simplify 0 into 0 19.775 * [backup-simplify]: Simplify 0 into 0 19.775 * [backup-simplify]: Simplify 0 into 0 19.775 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 19.775 * [backup-simplify]: Simplify 0 into 0 19.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.777 * [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 19.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.778 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.779 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.780 * [backup-simplify]: Simplify (- 0) into 0 19.780 * [backup-simplify]: Simplify (+ 0 0) into 0 19.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 19.781 * [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 19.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 19.784 * [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 19.784 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.785 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.785 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.786 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.786 * [backup-simplify]: Simplify (- 0) into 0 19.786 * [backup-simplify]: Simplify (+ 0 0) into 0 19.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 19.788 * [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 19.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 19.789 * [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 19.789 * [backup-simplify]: Simplify (+ 0 0) into 0 19.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 19.789 * [taylor]: Taking taylor expansion of 0 in J 19.789 * [backup-simplify]: Simplify 0 into 0 19.789 * [taylor]: Taking taylor expansion of 0 in K 19.789 * [backup-simplify]: Simplify 0 into 0 19.789 * [backup-simplify]: Simplify 0 into 0 19.790 * [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))) 19.790 * [backup-simplify]: Simplify (hypot 1 (/ (/ (/ 1 (- U)) (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) 2))) into (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 19.790 * [approximate]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in (U J K) around 0 19.790 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.790 * [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 19.790 * [taylor]: Taking taylor expansion of (* 1 1) in K 19.790 * [taylor]: Taking taylor expansion of 1 in K 19.790 * [backup-simplify]: Simplify 1 into 1 19.790 * [taylor]: Taking taylor expansion of 1 in K 19.790 * [backup-simplify]: Simplify 1 into 1 19.790 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 19.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.790 * [taylor]: Taking taylor expansion of 1/2 in K 19.790 * [backup-simplify]: Simplify 1/2 into 1/2 19.790 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.790 * [taylor]: Taking taylor expansion of J in K 19.790 * [backup-simplify]: Simplify J into J 19.790 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.790 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.790 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.790 * [taylor]: Taking taylor expansion of -1/2 in K 19.790 * [backup-simplify]: Simplify -1/2 into -1/2 19.790 * [taylor]: Taking taylor expansion of K in K 19.790 * [backup-simplify]: Simplify 0 into 0 19.790 * [backup-simplify]: Simplify 1 into 1 19.790 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.791 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.791 * [taylor]: Taking taylor expansion of U in K 19.791 * [backup-simplify]: Simplify U into U 19.791 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.791 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 19.791 * [taylor]: Taking taylor expansion of 1/2 in K 19.791 * [backup-simplify]: Simplify 1/2 into 1/2 19.791 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 19.791 * [taylor]: Taking taylor expansion of J in K 19.791 * [backup-simplify]: Simplify J into J 19.791 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 19.791 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.791 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.791 * [taylor]: Taking taylor expansion of -1/2 in K 19.791 * [backup-simplify]: Simplify -1/2 into -1/2 19.791 * [taylor]: Taking taylor expansion of K in K 19.791 * [backup-simplify]: Simplify 0 into 0 19.791 * [backup-simplify]: Simplify 1 into 1 19.791 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.791 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.791 * [taylor]: Taking taylor expansion of U in K 19.791 * [backup-simplify]: Simplify U into U 19.791 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.791 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 19.792 * [backup-simplify]: Simplify (* 1 1) into 1 19.792 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.792 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 19.792 * [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)))) 19.792 * [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))))) 19.792 * [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)))))) 19.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.793 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.793 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.794 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 19.794 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 19.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 19.794 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 19.795 * [backup-simplify]: Simplify (+ 0 0) into 0 19.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 19.795 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.795 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 19.795 * [taylor]: Taking taylor expansion of (* 1 1) in J 19.795 * [taylor]: Taking taylor expansion of 1 in J 19.795 * [backup-simplify]: Simplify 1 into 1 19.795 * [taylor]: Taking taylor expansion of 1 in J 19.795 * [backup-simplify]: Simplify 1 into 1 19.795 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 19.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.795 * [taylor]: Taking taylor expansion of 1/2 in J 19.795 * [backup-simplify]: Simplify 1/2 into 1/2 19.795 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.795 * [taylor]: Taking taylor expansion of J in J 19.795 * [backup-simplify]: Simplify 0 into 0 19.795 * [backup-simplify]: Simplify 1 into 1 19.795 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.795 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.795 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.795 * [taylor]: Taking taylor expansion of -1/2 in J 19.795 * [backup-simplify]: Simplify -1/2 into -1/2 19.795 * [taylor]: Taking taylor expansion of K in J 19.795 * [backup-simplify]: Simplify K into K 19.795 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.795 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.795 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.795 * [taylor]: Taking taylor expansion of U in J 19.795 * [backup-simplify]: Simplify U into U 19.795 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.796 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.796 * [backup-simplify]: Simplify (- 0) into 0 19.796 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.796 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.796 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 19.796 * [taylor]: Taking taylor expansion of 1/2 in J 19.796 * [backup-simplify]: Simplify 1/2 into 1/2 19.796 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 19.796 * [taylor]: Taking taylor expansion of J in J 19.796 * [backup-simplify]: Simplify 0 into 0 19.796 * [backup-simplify]: Simplify 1 into 1 19.796 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 19.796 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.796 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.796 * [taylor]: Taking taylor expansion of -1/2 in J 19.796 * [backup-simplify]: Simplify -1/2 into -1/2 19.796 * [taylor]: Taking taylor expansion of K in J 19.796 * [backup-simplify]: Simplify K into K 19.796 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.796 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.796 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.796 * [taylor]: Taking taylor expansion of U in J 19.796 * [backup-simplify]: Simplify U into U 19.796 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.796 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.797 * [backup-simplify]: Simplify (- 0) into 0 19.797 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.797 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 19.797 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 19.797 * [backup-simplify]: Simplify (* 1 1) into 1 19.797 * [backup-simplify]: Simplify (+ 1 0) into 1 19.798 * [backup-simplify]: Simplify (sqrt 1) into 1 19.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.798 * [backup-simplify]: Simplify (+ 0 0) into 0 19.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.799 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.799 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.799 * [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 19.799 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.799 * [taylor]: Taking taylor expansion of 1 in U 19.799 * [backup-simplify]: Simplify 1 into 1 19.799 * [taylor]: Taking taylor expansion of 1 in U 19.799 * [backup-simplify]: Simplify 1 into 1 19.799 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.799 * [taylor]: Taking taylor expansion of 1/2 in U 19.799 * [backup-simplify]: Simplify 1/2 into 1/2 19.799 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.799 * [taylor]: Taking taylor expansion of J in U 19.799 * [backup-simplify]: Simplify J into J 19.799 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.799 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.799 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.799 * [taylor]: Taking taylor expansion of -1/2 in U 19.799 * [backup-simplify]: Simplify -1/2 into -1/2 19.799 * [taylor]: Taking taylor expansion of K in U 19.799 * [backup-simplify]: Simplify K into K 19.799 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.799 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.799 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.799 * [taylor]: Taking taylor expansion of U in U 19.799 * [backup-simplify]: Simplify 0 into 0 19.799 * [backup-simplify]: Simplify 1 into 1 19.799 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.799 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.800 * [backup-simplify]: Simplify (- 0) into 0 19.800 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.800 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.800 * [backup-simplify]: Simplify (+ 0) into 0 19.800 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.802 * [backup-simplify]: Simplify (- 0) into 0 19.802 * [backup-simplify]: Simplify (+ 0 0) into 0 19.802 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.802 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.802 * [taylor]: Taking taylor expansion of 1/2 in U 19.802 * [backup-simplify]: Simplify 1/2 into 1/2 19.802 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.802 * [taylor]: Taking taylor expansion of J in U 19.802 * [backup-simplify]: Simplify J into J 19.802 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.802 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.802 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.802 * [taylor]: Taking taylor expansion of -1/2 in U 19.802 * [backup-simplify]: Simplify -1/2 into -1/2 19.802 * [taylor]: Taking taylor expansion of K in U 19.803 * [backup-simplify]: Simplify K into K 19.803 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.803 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.803 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.803 * [taylor]: Taking taylor expansion of U in U 19.803 * [backup-simplify]: Simplify 0 into 0 19.803 * [backup-simplify]: Simplify 1 into 1 19.803 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.803 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.803 * [backup-simplify]: Simplify (- 0) into 0 19.804 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.804 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.804 * [backup-simplify]: Simplify (+ 0) into 0 19.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.805 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.806 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.806 * [backup-simplify]: Simplify (- 0) into 0 19.807 * [backup-simplify]: Simplify (+ 0 0) into 0 19.807 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.807 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.807 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.808 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.808 * [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))) 19.808 * [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))) 19.808 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.810 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.811 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.812 * [backup-simplify]: Simplify (- 0) into 0 19.812 * [backup-simplify]: Simplify (+ 0 0) into 0 19.813 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.813 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.817 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.818 * [backup-simplify]: Simplify (- 0) into 0 19.818 * [backup-simplify]: Simplify (+ 0 0) into 0 19.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.819 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.820 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.820 * [backup-simplify]: Simplify (+ 0 0) into 0 19.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.820 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.820 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 19.820 * [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 19.821 * [taylor]: Taking taylor expansion of (* 1 1) in U 19.821 * [taylor]: Taking taylor expansion of 1 in U 19.821 * [backup-simplify]: Simplify 1 into 1 19.821 * [taylor]: Taking taylor expansion of 1 in U 19.821 * [backup-simplify]: Simplify 1 into 1 19.821 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 19.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.821 * [taylor]: Taking taylor expansion of 1/2 in U 19.821 * [backup-simplify]: Simplify 1/2 into 1/2 19.821 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.821 * [taylor]: Taking taylor expansion of J in U 19.821 * [backup-simplify]: Simplify J into J 19.821 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.821 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.821 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.821 * [taylor]: Taking taylor expansion of -1/2 in U 19.821 * [backup-simplify]: Simplify -1/2 into -1/2 19.821 * [taylor]: Taking taylor expansion of K in U 19.821 * [backup-simplify]: Simplify K into K 19.821 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.821 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.821 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.821 * [taylor]: Taking taylor expansion of U in U 19.821 * [backup-simplify]: Simplify 0 into 0 19.821 * [backup-simplify]: Simplify 1 into 1 19.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.822 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.822 * [backup-simplify]: Simplify (- 0) into 0 19.822 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.823 * [backup-simplify]: Simplify (+ 0) into 0 19.823 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.823 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.825 * [backup-simplify]: Simplify (- 0) into 0 19.825 * [backup-simplify]: Simplify (+ 0 0) into 0 19.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.826 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 19.826 * [taylor]: Taking taylor expansion of 1/2 in U 19.826 * [backup-simplify]: Simplify 1/2 into 1/2 19.826 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 19.826 * [taylor]: Taking taylor expansion of J in U 19.826 * [backup-simplify]: Simplify J into J 19.826 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 19.826 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 19.826 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 19.826 * [taylor]: Taking taylor expansion of -1/2 in U 19.826 * [backup-simplify]: Simplify -1/2 into -1/2 19.826 * [taylor]: Taking taylor expansion of K in U 19.826 * [backup-simplify]: Simplify K into K 19.826 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.826 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.826 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.826 * [taylor]: Taking taylor expansion of U in U 19.826 * [backup-simplify]: Simplify 0 into 0 19.826 * [backup-simplify]: Simplify 1 into 1 19.827 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.827 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.827 * [backup-simplify]: Simplify (- 0) into 0 19.827 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.827 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 19.828 * [backup-simplify]: Simplify (+ 0) into 0 19.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.828 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.829 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.830 * [backup-simplify]: Simplify (- 0) into 0 19.830 * [backup-simplify]: Simplify (+ 0 0) into 0 19.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 19.831 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 19.831 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.831 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.831 * [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))) 19.831 * [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))) 19.832 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 19.833 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.833 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.834 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.835 * [backup-simplify]: Simplify (- 0) into 0 19.836 * [backup-simplify]: Simplify (+ 0 0) into 0 19.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.837 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 19.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 19.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.840 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 19.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 19.841 * [backup-simplify]: Simplify (- 0) into 0 19.841 * [backup-simplify]: Simplify (+ 0 0) into 0 19.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 19.842 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 19.843 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.843 * [backup-simplify]: Simplify (+ 0 0) into 0 19.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 19.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 19.843 * [taylor]: Taking taylor expansion of 1/2 in J 19.843 * [backup-simplify]: Simplify 1/2 into 1/2 19.843 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 19.843 * [taylor]: Taking taylor expansion of J in J 19.844 * [backup-simplify]: Simplify 0 into 0 19.844 * [backup-simplify]: Simplify 1 into 1 19.844 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.844 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.844 * [taylor]: Taking taylor expansion of -1/2 in J 19.844 * [backup-simplify]: Simplify -1/2 into -1/2 19.844 * [taylor]: Taking taylor expansion of K in J 19.844 * [backup-simplify]: Simplify K into K 19.844 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.844 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.844 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.844 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.844 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.844 * [backup-simplify]: Simplify (- 0) into 0 19.845 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.845 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 19.845 * [taylor]: Taking taylor expansion of 0 in J 19.845 * [backup-simplify]: Simplify 0 into 0 19.845 * [taylor]: Taking taylor expansion of 0 in K 19.845 * [backup-simplify]: Simplify 0 into 0 19.845 * [backup-simplify]: Simplify 0 into 0 19.845 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 19.845 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 19.845 * [taylor]: Taking taylor expansion of 1/2 in K 19.845 * [backup-simplify]: Simplify 1/2 into 1/2 19.845 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 19.845 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 19.845 * [taylor]: Taking taylor expansion of -1/2 in K 19.845 * [backup-simplify]: Simplify -1/2 into -1/2 19.845 * [taylor]: Taking taylor expansion of K in K 19.845 * [backup-simplify]: Simplify 0 into 0 19.845 * [backup-simplify]: Simplify 1 into 1 19.846 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 19.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.846 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.846 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 19.846 * [backup-simplify]: Simplify (* 1 1) into 1 19.847 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.857 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.857 * [backup-simplify]: Simplify (- 0) into 0 19.858 * [backup-simplify]: Simplify (+ 0 0) into 0 19.858 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.859 * [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 19.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 19.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.862 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 19.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 19.863 * [backup-simplify]: Simplify (- 0) into 0 19.864 * [backup-simplify]: Simplify (+ 0 0) into 0 19.864 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 19.864 * [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 19.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 19.865 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 19.865 * [backup-simplify]: Simplify (+ 1 0) into 1 19.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 19.866 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 19.866 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 19.866 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 19.866 * [taylor]: Taking taylor expansion of -1/2 in J 19.866 * [backup-simplify]: Simplify -1/2 into -1/2 19.866 * [taylor]: Taking taylor expansion of K in J 19.866 * [backup-simplify]: Simplify K into K 19.866 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 19.866 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 19.866 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 19.866 * [taylor]: Taking taylor expansion of J in J 19.866 * [backup-simplify]: Simplify 0 into 0 19.866 * [backup-simplify]: Simplify 1 into 1 19.866 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.866 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 19.867 * [backup-simplify]: Simplify (- 0) into 0 19.867 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 19.867 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 19.867 * [backup-simplify]: Simplify (+ 0) into 0 19.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.868 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.868 * [backup-simplify]: Simplify (- 0) into 0 19.869 * [backup-simplify]: Simplify (+ 0 0) into 0 19.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 19.869 * [taylor]: Taking taylor expansion of 0 in K 19.869 * [backup-simplify]: Simplify 0 into 0 19.869 * [backup-simplify]: Simplify 0 into 0 19.869 * [taylor]: Taking taylor expansion of 0 in K 19.869 * [backup-simplify]: Simplify 0 into 0 19.869 * [backup-simplify]: Simplify 0 into 0 19.870 * [backup-simplify]: Simplify (+ 0) into 0 19.870 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 19.870 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 19.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 19.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 19.871 * [backup-simplify]: Simplify (- 0) into 0 19.871 * [backup-simplify]: Simplify (+ 0 0) into 0 19.871 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 19.872 * [taylor]: Taking taylor expansion of 0 in K 19.872 * [backup-simplify]: Simplify 0 into 0 19.872 * [backup-simplify]: Simplify 0 into 0 19.872 * [backup-simplify]: Simplify 0 into 0 19.872 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 19.872 * [backup-simplify]: Simplify 0 into 0 19.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.874 * [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 19.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.875 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.875 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.876 * [backup-simplify]: Simplify (- 0) into 0 19.876 * [backup-simplify]: Simplify (+ 0 0) into 0 19.877 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.877 * [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 19.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.879 * [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 19.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 19.881 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 19.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 19.881 * [backup-simplify]: Simplify (- 0) into 0 19.882 * [backup-simplify]: Simplify (+ 0 0) into 0 19.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.882 * [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 19.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 19.884 * [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 19.884 * [backup-simplify]: Simplify (+ 0 0) into 0 19.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 19.884 * [taylor]: Taking taylor expansion of 0 in J 19.884 * [backup-simplify]: Simplify 0 into 0 19.884 * [taylor]: Taking taylor expansion of 0 in K 19.884 * [backup-simplify]: Simplify 0 into 0 19.884 * [backup-simplify]: Simplify 0 into 0 19.884 * [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))) 19.885 * * * [progress]: simplifying candidates 19.885 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 19.885 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 19.885 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 19.885 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 19.885 * * [simplify]: iters left: 6 (15 enodes) 19.889 * * [simplify]: iters left: 5 (59 enodes) 19.903 * * [simplify]: iters left: 4 (97 enodes) 19.931 * * [simplify]: iters left: 3 (148 enodes) 19.954 * * [simplify]: iters left: 2 (169 enodes) 19.975 * * [simplify]: Extracting #0: cost 1 inf + 0 19.976 * * [simplify]: Extracting #1: cost 16 inf + 0 19.976 * * [simplify]: Extracting #2: cost 28 inf + 44 19.976 * * [simplify]: Extracting #3: cost 37 inf + 87 19.976 * * [simplify]: Extracting #4: cost 43 inf + 90 19.976 * * [simplify]: Extracting #5: cost 34 inf + 1179 19.978 * * [simplify]: Extracting #6: cost 5 inf + 7798 19.980 * * [simplify]: Extracting #7: cost 0 inf + 9302 19.983 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 19.983 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 19.983 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 19.983 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 19.983 * * [simplify]: iters left: 6 (15 enodes) 19.991 * * [simplify]: iters left: 5 (59 enodes) 20.010 * * [simplify]: iters left: 4 (97 enodes) 20.026 * * [simplify]: iters left: 3 (148 enodes) 20.055 * * [simplify]: iters left: 2 (169 enodes) 20.098 * * [simplify]: Extracting #0: cost 1 inf + 0 20.098 * * [simplify]: Extracting #1: cost 16 inf + 0 20.098 * * [simplify]: Extracting #2: cost 28 inf + 44 20.098 * * [simplify]: Extracting #3: cost 37 inf + 87 20.099 * * [simplify]: Extracting #4: cost 43 inf + 90 20.099 * * [simplify]: Extracting #5: cost 34 inf + 1179 20.102 * * [simplify]: Extracting #6: cost 5 inf + 7798 20.107 * * [simplify]: Extracting #7: cost 0 inf + 9302 20.111 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 20.111 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 20.112 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 20.112 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 20.112 * * [simplify]: iters left: 6 (15 enodes) 20.120 * * [simplify]: iters left: 5 (59 enodes) 20.140 * * [simplify]: iters left: 4 (97 enodes) 20.172 * * [simplify]: iters left: 3 (148 enodes) 20.198 * * [simplify]: iters left: 2 (169 enodes) 20.228 * * [simplify]: Extracting #0: cost 1 inf + 0 20.228 * * [simplify]: Extracting #1: cost 16 inf + 0 20.228 * * [simplify]: Extracting #2: cost 28 inf + 44 20.228 * * [simplify]: Extracting #3: cost 37 inf + 87 20.228 * * [simplify]: Extracting #4: cost 43 inf + 90 20.229 * * [simplify]: Extracting #5: cost 34 inf + 1179 20.232 * * [simplify]: Extracting #6: cost 5 inf + 7798 20.237 * * [simplify]: Extracting #7: cost 0 inf + 9302 20.241 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 20.241 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 20.241 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 20.242 * [simplify]: Simplifying (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)) 20.242 * * [simplify]: iters left: 6 (15 enodes) 20.248 * * [simplify]: iters left: 5 (59 enodes) 20.257 * * [simplify]: iters left: 4 (97 enodes) 20.276 * * [simplify]: iters left: 3 (148 enodes) 20.314 * * [simplify]: iters left: 2 (169 enodes) 20.356 * * [simplify]: Extracting #0: cost 1 inf + 0 20.356 * * [simplify]: Extracting #1: cost 16 inf + 0 20.357 * * [simplify]: Extracting #2: cost 28 inf + 44 20.357 * * [simplify]: Extracting #3: cost 37 inf + 87 20.357 * * [simplify]: Extracting #4: cost 43 inf + 90 20.358 * * [simplify]: Extracting #5: cost 34 inf + 1179 20.361 * * [simplify]: Extracting #6: cost 5 inf + 7798 20.365 * * [simplify]: Extracting #7: cost 0 inf + 9302 20.370 * [simplify]: Simplified to (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 20.370 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* -2 (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) J)) 1)) 20.370 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 20.370 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 20.370 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (+ (log -2) (log J))) 20.370 * * [simplify]: iters left: 6 (19 enodes) 20.380 * * [simplify]: iters left: 5 (71 enodes) 20.405 * * [simplify]: iters left: 4 (110 enodes) 20.427 * * [simplify]: iters left: 3 (165 enodes) 20.450 * * [simplify]: iters left: 2 (194 enodes) 20.476 * * [simplify]: Extracting #0: cost 1 inf + 0 20.476 * * [simplify]: Extracting #1: cost 16 inf + 0 20.476 * * [simplify]: Extracting #2: cost 34 inf + 0 20.476 * * [simplify]: Extracting #3: cost 34 inf + 215 20.477 * * [simplify]: Extracting #4: cost 41 inf + 651 20.477 * * [simplify]: Extracting #5: cost 44 inf + 982 20.478 * * [simplify]: Extracting #6: cost 29 inf + 4046 20.481 * * [simplify]: Extracting #7: cost 6 inf + 11301 20.489 * * [simplify]: Extracting #8: cost 1 inf + 14155 20.495 * * [simplify]: Extracting #9: cost 0 inf + 14836 20.500 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)) 20.501 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log (cos (/ K 2)))) (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log J)))) 20.501 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 20.501 * [simplify]: Simplifying (+ (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) (log (* -2 J))) 20.501 * * [simplify]: iters left: 6 (18 enodes) 20.511 * * [simplify]: iters left: 5 (69 enodes) 20.532 * * [simplify]: iters left: 4 (104 enodes) 20.548 * * [simplify]: iters left: 3 (156 enodes) 20.576 * * [simplify]: iters left: 2 (190 enodes) 20.616 * * [simplify]: Extracting #0: cost 1 inf + 0 20.616 * * [simplify]: Extracting #1: cost 16 inf + 0 20.616 * * [simplify]: Extracting #2: cost 35 inf + 0 20.616 * * [simplify]: Extracting #3: cost 32 inf + 552 20.616 * * [simplify]: Extracting #4: cost 41 inf + 595 20.617 * * [simplify]: Extracting #5: cost 44 inf + 926 20.617 * * [simplify]: Extracting #6: cost 30 inf + 3767 20.619 * * [simplify]: Extracting #7: cost 7 inf + 11016 20.622 * * [simplify]: Extracting #8: cost 1 inf + 13859 20.624 * * [simplify]: Extracting #9: cost 0 inf + 14360 20.627 * [simplify]: Simplified to (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))) 20.627 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (+ (log (* J -2)) (log (cos (/ K 2))))))) 20.627 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 20.627 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (+ (log -2) (log J))) 20.628 * * [simplify]: iters left: 6 (18 enodes) 20.632 * * [simplify]: iters left: 5 (69 enodes) 20.647 * * [simplify]: iters left: 4 (104 enodes) 20.666 * * [simplify]: iters left: 3 (156 enodes) 20.692 * * [simplify]: iters left: 2 (190 enodes) 20.715 * * [simplify]: Extracting #0: cost 1 inf + 0 20.716 * * [simplify]: Extracting #1: cost 16 inf + 0 20.716 * * [simplify]: Extracting #2: cost 35 inf + 0 20.716 * * [simplify]: Extracting #3: cost 38 inf + 73 20.716 * * [simplify]: Extracting #4: cost 43 inf + 651 20.717 * * [simplify]: Extracting #5: cost 46 inf + 982 20.718 * * [simplify]: Extracting #6: cost 29 inf + 4390 20.722 * * [simplify]: Extracting #7: cost 7 inf + 11744 20.728 * * [simplify]: Extracting #8: cost 0 inf + 14916 20.734 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 20.734 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log J)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))) 20.734 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 20.734 * [simplify]: Simplifying (+ (log (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (log (* -2 J))) 20.735 * * [simplify]: iters left: 6 (17 enodes) 20.743 * * [simplify]: iters left: 5 (67 enodes) 20.765 * * [simplify]: iters left: 4 (101 enodes) 20.793 * * [simplify]: iters left: 3 (149 enodes) 20.818 * * [simplify]: iters left: 2 (184 enodes) 20.840 * * [simplify]: iters left: 1 (189 enodes) 20.867 * * [simplify]: Extracting #0: cost 1 inf + 0 20.867 * * [simplify]: Extracting #1: cost 16 inf + 0 20.868 * * [simplify]: Extracting #2: cost 36 inf + 0 20.868 * * [simplify]: Extracting #3: cost 36 inf + 369 20.868 * * [simplify]: Extracting #4: cost 43 inf + 595 20.869 * * [simplify]: Extracting #5: cost 47 inf + 844 20.870 * * [simplify]: Extracting #6: cost 29 inf + 4264 20.874 * * [simplify]: Extracting #7: cost 10 inf + 9815 20.882 * * [simplify]: Extracting #8: cost 0 inf + 14440 20.888 * [simplify]: Simplified to (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 20.888 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))))) 20.888 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 20.888 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 20.888 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 20.889 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 20.889 * * [simplify]: iters left: 6 (23 enodes) 20.903 * * [simplify]: iters left: 5 (96 enodes) 20.941 * * [simplify]: iters left: 4 (226 enodes) 21.056 * * [simplify]: Extracting #0: cost 1 inf + 0 21.056 * * [simplify]: Extracting #1: cost 59 inf + 0 21.057 * * [simplify]: Extracting #2: cost 264 inf + 452 21.058 * * [simplify]: Extracting #3: cost 261 inf + 2097 21.063 * * [simplify]: Extracting #4: cost 179 inf + 28052 21.090 * * [simplify]: Extracting #5: cost 16 inf + 92312 21.137 * * [simplify]: Extracting #6: cost 0 inf + 97231 21.168 * * [simplify]: Extracting #7: cost 0 inf + 96951 21.201 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 21.201 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))) 21.202 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 21.202 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 21.202 * * [simplify]: iters left: 6 (21 enodes) 21.215 * * [simplify]: iters left: 5 (94 enodes) 21.250 * * [simplify]: iters left: 4 (226 enodes) 21.344 * * [simplify]: Extracting #0: cost 1 inf + 0 21.344 * * [simplify]: Extracting #1: cost 56 inf + 0 21.346 * * [simplify]: Extracting #2: cost 226 inf + 168 21.348 * * [simplify]: Extracting #3: cost 220 inf + 2184 21.351 * * [simplify]: Extracting #4: cost 220 inf + 2477 21.354 * * [simplify]: Extracting #5: cost 179 inf + 10402 21.372 * * [simplify]: Extracting #6: cost 96 inf + 40336 21.410 * * [simplify]: Extracting #7: cost 16 inf + 78408 21.456 * * [simplify]: Extracting #8: cost 0 inf + 86304 21.501 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)) 21.501 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* -8 (* J J)) J)))) 21.501 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 21.502 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) 21.502 * * [simplify]: iters left: 6 (21 enodes) 21.516 * * [simplify]: iters left: 5 (95 enodes) 21.557 * * [simplify]: iters left: 4 (237 enodes) 21.678 * * [simplify]: Extracting #0: cost 1 inf + 0 21.679 * * [simplify]: Extracting #1: cost 52 inf + 0 21.679 * * [simplify]: Extracting #2: cost 228 inf + 87 21.680 * * [simplify]: Extracting #3: cost 240 inf + 788 21.684 * * [simplify]: Extracting #4: cost 181 inf + 20237 21.703 * * [simplify]: Extracting #5: cost 29 inf + 81640 21.743 * * [simplify]: Extracting #6: cost 0 inf + 94822 21.789 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)) 21.789 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* (* -8 (* J J)) J)))) 21.789 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 21.790 * [simplify]: Simplifying (* (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) 21.790 * * [simplify]: iters left: 6 (19 enodes) 21.806 * * [simplify]: iters left: 5 (92 enodes) 21.842 * * [simplify]: iters left: 4 (233 enodes) 21.942 * * [simplify]: Extracting #0: cost 1 inf + 0 21.942 * * [simplify]: Extracting #1: cost 55 inf + 0 21.943 * * [simplify]: Extracting #2: cost 241 inf + 128 21.944 * * [simplify]: Extracting #3: cost 234 inf + 1974 21.948 * * [simplify]: Extracting #4: cost 180 inf + 20443 21.971 * * [simplify]: Extracting #5: cost 20 inf + 86900 22.001 * * [simplify]: Extracting #6: cost 0 inf + 95958 22.035 * * [simplify]: Extracting #7: cost 0 inf + 95918 22.069 * [simplify]: Simplified to (* (* (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))))) 22.069 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (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))))))) 22.069 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 22.069 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 22.069 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 22.069 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 22.069 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 22.069 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 22.070 * [simplify]: Simplifying (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 22.070 * * [simplify]: iters left: 6 (11 enodes) 22.076 * * [simplify]: iters left: 5 (40 enodes) 22.089 * * [simplify]: iters left: 4 (56 enodes) 22.106 * * [simplify]: iters left: 3 (74 enodes) 22.126 * * [simplify]: iters left: 2 (81 enodes) 22.138 * * [simplify]: Extracting #0: cost 1 inf + 0 22.138 * * [simplify]: Extracting #1: cost 4 inf + 0 22.138 * * [simplify]: Extracting #2: cost 14 inf + 1 22.139 * * [simplify]: Extracting #3: cost 22 inf + 46 22.139 * * [simplify]: Extracting #4: cost 24 inf + 255 22.139 * * [simplify]: Extracting #5: cost 20 inf + 423 22.139 * * [simplify]: Extracting #6: cost 8 inf + 2096 22.140 * * [simplify]: Extracting #7: cost 0 inf + 3675 22.140 * [simplify]: Simplified to (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 22.140 * [simplify]: Simplified (2 1) to (λ (J K U) (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cos (/ K 2)) (* -2 J)))) 22.141 * * * * [progress]: [ 24 / 118 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) (* -2 J)))))> 22.141 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 22.141 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 22.141 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 22.141 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 22.141 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 22.141 * [simplify]: Simplifying (- (- (log U) (log J)) (+ (log (cos (/ K 2))) (log 2))) 22.141 * * [simplify]: iters left: 6 (13 enodes) 22.144 * * [simplify]: iters left: 5 (48 enodes) 22.152 * * [simplify]: iters left: 4 (82 enodes) 22.175 * * [simplify]: iters left: 3 (160 enodes) 22.216 * * [simplify]: iters left: 2 (268 enodes) 22.279 * * [simplify]: iters left: 1 (362 enodes) 22.432 * * [simplify]: Extracting #0: cost 1 inf + 0 22.433 * * [simplify]: Extracting #1: cost 45 inf + 0 22.433 * * [simplify]: Extracting #2: cost 89 inf + 0 22.434 * * [simplify]: Extracting #3: cost 84 inf + 327 22.436 * * [simplify]: Extracting #4: cost 57 inf + 5952 22.438 * * [simplify]: Extracting #5: cost 48 inf + 7450 22.444 * * [simplify]: Extracting #6: cost 17 inf + 18264 22.453 * * [simplify]: Extracting #7: cost 2 inf + 23964 22.462 * * [simplify]: Extracting #8: cost 0 inf + 24791 22.471 * [simplify]: Simplified to (- (- (log U) (log (cos (/ K 2)))) (+ (log 2) (log J))) 22.471 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log U) (log (cos (/ K 2)))) (+ (log 2) (log J))))) (cos (/ K 2))) (* -2 J))) 22.471 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 22.472 * [simplify]: Simplifying (- (- (log U) (log J)) (log (* (cos (/ K 2)) 2))) 22.472 * * [simplify]: iters left: 6 (12 enodes) 22.478 * * [simplify]: iters left: 5 (46 enodes) 22.493 * * [simplify]: iters left: 4 (75 enodes) 22.518 * * [simplify]: iters left: 3 (130 enodes) 22.569 * * [simplify]: iters left: 2 (226 enodes) 22.661 * * [simplify]: iters left: 1 (331 enodes) 22.764 * * [simplify]: Extracting #0: cost 1 inf + 0 22.764 * * [simplify]: Extracting #1: cost 42 inf + 0 22.764 * * [simplify]: Extracting #2: cost 81 inf + 0 22.765 * * [simplify]: Extracting #3: cost 77 inf + 327 22.765 * * [simplify]: Extracting #4: cost 63 inf + 3346 22.767 * * [simplify]: Extracting #5: cost 45 inf + 6803 22.768 * * [simplify]: Extracting #6: cost 38 inf + 7928 22.770 * * [simplify]: Extracting #7: cost 19 inf + 13572 22.774 * * [simplify]: Extracting #8: cost 0 inf + 20242 22.778 * [simplify]: Simplified to (- (- (log U) (log J)) (log (* 2 (cos (/ K 2))))) 22.778 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log U) (log J)) (log (* 2 (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J))) 22.778 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 22.778 * [simplify]: Simplifying (- (log (/ U J)) (+ (log (cos (/ K 2))) (log 2))) 22.779 * * [simplify]: iters left: 6 (12 enodes) 22.782 * * [simplify]: iters left: 5 (44 enodes) 22.790 * * [simplify]: iters left: 4 (69 enodes) 22.801 * * [simplify]: iters left: 3 (130 enodes) 22.836 * * [simplify]: iters left: 2 (240 enodes) 22.898 * * [simplify]: iters left: 1 (333 enodes) 22.978 * * [simplify]: Extracting #0: cost 1 inf + 0 22.978 * * [simplify]: Extracting #1: cost 52 inf + 0 22.979 * * [simplify]: Extracting #2: cost 97 inf + 0 22.979 * * [simplify]: Extracting #3: cost 92 inf + 492 22.980 * * [simplify]: Extracting #4: cost 68 inf + 4656 22.982 * * [simplify]: Extracting #5: cost 51 inf + 7692 22.984 * * [simplify]: Extracting #6: cost 16 inf + 19469 22.989 * * [simplify]: Extracting #7: cost 0 inf + 25017 22.994 * * [simplify]: Extracting #8: cost 0 inf + 24937 23.000 * [simplify]: Simplified to (- (- (log (/ U J)) (log 2)) (log (cos (/ K 2)))) 23.000 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (- (log (/ U J)) (log 2)) (log (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))) 23.000 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 23.001 * [simplify]: Simplifying (- (log (/ U J)) (log (* (cos (/ K 2)) 2))) 23.001 * * [simplify]: iters left: 6 (11 enodes) 23.006 * * [simplify]: iters left: 5 (42 enodes) 23.020 * * [simplify]: iters left: 4 (65 enodes) 23.041 * * [simplify]: iters left: 3 (110 enodes) 23.063 * * [simplify]: iters left: 2 (196 enodes) 23.128 * * [simplify]: iters left: 1 (285 enodes) 23.212 * * [simplify]: Extracting #0: cost 1 inf + 0 23.212 * * [simplify]: Extracting #1: cost 43 inf + 0 23.213 * * [simplify]: Extracting #2: cost 87 inf + 0 23.214 * * [simplify]: Extracting #3: cost 88 inf + 3 23.215 * * [simplify]: Extracting #4: cost 74 inf + 1932 23.216 * * [simplify]: Extracting #5: cost 50 inf + 5836 23.221 * * [simplify]: Extracting #6: cost 12 inf + 16380 23.229 * * [simplify]: Extracting #7: cost 0 inf + 20273 23.237 * [simplify]: Simplified to (- (log (/ U J)) (log (* (cos (/ K 2)) 2))) 23.237 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (exp (- (log (/ U J)) (log (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J))) 23.237 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 23.237 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 23.237 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 23.238 * [simplify]: Simplifying (/ (/ (* (* U U) U) (* (* J J) J)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 23.238 * * [simplify]: iters left: 6 (17 enodes) 23.248 * * [simplify]: iters left: 5 (73 enodes) 23.277 * * [simplify]: iters left: 4 (206 enodes) 23.346 * * [simplify]: Extracting #0: cost 1 inf + 0 23.347 * * [simplify]: Extracting #1: cost 161 inf + 0 23.348 * * [simplify]: Extracting #2: cost 356 inf + 818 23.350 * * [simplify]: Extracting #3: cost 301 inf + 8548 23.358 * * [simplify]: Extracting #4: cost 156 inf + 41372 23.379 * * [simplify]: Extracting #5: cost 8 inf + 84180 23.417 * * [simplify]: Extracting #6: cost 0 inf + 86132 23.454 * [simplify]: Simplified to (/ (* (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) (/ (/ U J) (cos (/ K 2)))) 8) 23.455 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (* (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) (/ (/ U J) (cos (/ K 2)))) 8))) (cos (/ K 2))) (* -2 J))) 23.455 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 23.455 * [simplify]: Simplifying (/ (/ (* (* U U) U) (* (* J J) J)) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 23.455 * * [simplify]: iters left: 6 (15 enodes) 23.459 * * [simplify]: iters left: 5 (70 enodes) 23.474 * * [simplify]: iters left: 4 (209 enodes) 23.570 * * [simplify]: Extracting #0: cost 1 inf + 0 23.570 * * [simplify]: Extracting #1: cost 149 inf + 0 23.572 * * [simplify]: Extracting #2: cost 351 inf + 898 23.574 * * [simplify]: Extracting #3: cost 327 inf + 5704 23.584 * * [simplify]: Extracting #4: cost 136 inf + 52738 23.623 * * [simplify]: Extracting #5: cost 4 inf + 90642 23.647 * * [simplify]: Extracting #6: cost 0 inf + 91302 23.670 * * [simplify]: Extracting #7: cost 0 inf + 91263 23.694 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 23.694 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2))) (* -2 J))) 23.694 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 23.694 * [simplify]: Simplifying (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* 2 2) 2))) 23.694 * * [simplify]: iters left: 6 (15 enodes) 23.700 * * [simplify]: iters left: 5 (68 enodes) 23.725 * * [simplify]: iters left: 4 (195 enodes) 23.829 * * [simplify]: Extracting #0: cost 1 inf + 0 23.829 * * [simplify]: Extracting #1: cost 117 inf + 0 23.831 * * [simplify]: Extracting #2: cost 247 inf + 905 23.834 * * [simplify]: Extracting #3: cost 215 inf + 5471 23.840 * * [simplify]: Extracting #4: cost 148 inf + 23257 23.850 * * [simplify]: Extracting #5: cost 38 inf + 53641 23.864 * * [simplify]: Extracting #6: cost 0 inf + 59494 23.886 * * [simplify]: Extracting #7: cost 0 inf + 58970 23.918 * [simplify]: Simplified to (/ (/ (/ U J) (cos (/ K 2))) (/ 8 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))))) 23.918 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (/ (/ (/ U J) (cos (/ K 2))) (/ 8 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))))))) (cos (/ K 2))) (* -2 J))) 23.918 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 23.919 * [simplify]: Simplifying (/ (* (* (/ U J) (/ U J)) (/ U J)) (* (* (* (cos (/ K 2)) 2) (* (cos (/ K 2)) 2)) (* (cos (/ K 2)) 2))) 23.919 * * [simplify]: iters left: 6 (13 enodes) 23.927 * * [simplify]: iters left: 5 (65 enodes) 23.954 * * [simplify]: iters left: 4 (210 enodes) 24.066 * * [simplify]: Extracting #0: cost 1 inf + 0 24.066 * * [simplify]: Extracting #1: cost 116 inf + 0 24.067 * * [simplify]: Extracting #2: cost 291 inf + 373 24.069 * * [simplify]: Extracting #3: cost 268 inf + 4039 24.071 * * [simplify]: Extracting #4: cost 241 inf + 7119 24.075 * * [simplify]: Extracting #5: cost 177 inf + 22842 24.094 * * [simplify]: Extracting #6: cost 16 inf + 68957 24.113 * * [simplify]: Extracting #7: cost 0 inf + 73585 24.144 * * [simplify]: Extracting #8: cost 0 inf + 73545 24.165 * [simplify]: Simplified to (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))) 24.165 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (cbrt (* (/ (/ U J) (* 2 (cos (/ K 2)))) (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (cos (/ K 2))) (* -2 J))) 24.165 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 24.165 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 24.166 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 24.166 * * * * [progress]: [ 42 / 118 ] simplifiying candidate # 24.166 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 24.166 * [simplify]: Simplifying (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) 24.166 * * [simplify]: iters left: 6 (10 enodes) 24.169 * * [simplify]: iters left: 5 (32 enodes) 24.173 * * [simplify]: iters left: 4 (36 enodes) 24.179 * * [simplify]: iters left: 3 (39 enodes) 24.190 * * [simplify]: Extracting #0: cost 1 inf + 0 24.190 * * [simplify]: Extracting #1: cost 7 inf + 0 24.190 * * [simplify]: Extracting #2: cost 14 inf + 0 24.190 * * [simplify]: Extracting #3: cost 20 inf + 0 24.190 * * [simplify]: Extracting #4: cost 14 inf + 88 24.190 * * [simplify]: Extracting #5: cost 8 inf + 762 24.191 * * [simplify]: Extracting #6: cost 1 inf + 2344 24.192 * * [simplify]: Extracting #7: cost 0 inf + 2608 24.192 * [simplify]: Simplified to (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) 24.193 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) (/ (cbrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 24.193 * [simplify]: Simplifying (/ (cbrt (/ U J)) 2) 24.193 * * [simplify]: iters left: 5 (6 enodes) 24.198 * * [simplify]: iters left: 4 (18 enodes) 24.204 * * [simplify]: Extracting #0: cost 1 inf + 0 24.204 * * [simplify]: Extracting #1: cost 4 inf + 0 24.204 * * [simplify]: Extracting #2: cost 5 inf + 1 24.204 * * [simplify]: Extracting #3: cost 8 inf + 1 24.204 * * [simplify]: Extracting #4: cost 6 inf + 3 24.205 * * [simplify]: Extracting #5: cost 0 inf + 657 24.205 * [simplify]: Simplified to (/ (cbrt (/ U J)) 2) 24.205 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (cos (/ K 2))) (/ (cbrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 24.205 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 24.205 * [simplify]: Simplifying (/ (sqrt (/ U J)) (cos (/ K 2))) 24.206 * * [simplify]: iters left: 5 (9 enodes) 24.210 * * [simplify]: iters left: 4 (27 enodes) 24.218 * * [simplify]: Extracting #0: cost 1 inf + 0 24.218 * * [simplify]: Extracting #1: cost 4 inf + 0 24.219 * * [simplify]: Extracting #2: cost 8 inf + 0 24.219 * * [simplify]: Extracting #3: cost 14 inf + 0 24.219 * * [simplify]: Extracting #4: cost 10 inf + 4 24.219 * * [simplify]: Extracting #5: cost 4 inf + 396 24.219 * * [simplify]: Extracting #6: cost 1 inf + 764 24.219 * * [simplify]: Extracting #7: cost 0 inf + 988 24.220 * [simplify]: Simplified to (/ (sqrt (/ U J)) (cos (/ K 2))) 24.220 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt (/ U J)) (cos (/ K 2))) (/ (sqrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 24.220 * [simplify]: Simplifying (/ (sqrt (/ U J)) 2) 24.220 * * [simplify]: iters left: 5 (6 enodes) 24.223 * * [simplify]: iters left: 4 (18 enodes) 24.226 * * [simplify]: Extracting #0: cost 1 inf + 0 24.226 * * [simplify]: Extracting #1: cost 4 inf + 0 24.226 * * [simplify]: Extracting #2: cost 5 inf + 1 24.226 * * [simplify]: Extracting #3: cost 8 inf + 1 24.226 * * [simplify]: Extracting #4: cost 6 inf + 3 24.226 * * [simplify]: Extracting #5: cost 0 inf + 497 24.226 * [simplify]: Simplified to (/ (sqrt (/ U J)) 2) 24.226 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt (/ U J)) (cos (/ K 2))) (/ (sqrt (/ U J)) 2))) (cos (/ K 2))) (* -2 J))) 24.226 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 24.226 * [simplify]: Simplifying (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.226 * * [simplify]: iters left: 6 (12 enodes) 24.229 * * [simplify]: iters left: 5 (44 enodes) 24.237 * * [simplify]: iters left: 4 (75 enodes) 24.249 * * [simplify]: iters left: 3 (120 enodes) 24.277 * * [simplify]: iters left: 2 (166 enodes) 24.325 * * [simplify]: iters left: 1 (180 enodes) 24.351 * * [simplify]: Extracting #0: cost 1 inf + 0 24.351 * * [simplify]: Extracting #1: cost 23 inf + 0 24.351 * * [simplify]: Extracting #2: cost 47 inf + 0 24.351 * * [simplify]: Extracting #3: cost 44 inf + 406 24.352 * * [simplify]: Extracting #4: cost 29 inf + 2670 24.354 * * [simplify]: Extracting #5: cost 9 inf + 7749 24.358 * * [simplify]: Extracting #6: cost 0 inf + 10682 24.362 * [simplify]: Simplified to (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (cos (/ K 2))) 24.362 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (cos (/ K 2))) (/ (/ (cbrt U) (cbrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.363 * [simplify]: Simplifying (/ (/ (cbrt U) (cbrt J)) 2) 24.363 * * [simplify]: iters left: 5 (7 enodes) 24.364 * * [simplify]: iters left: 4 (23 enodes) 24.368 * * [simplify]: iters left: 3 (28 enodes) 24.372 * * [simplify]: iters left: 2 (30 enodes) 24.376 * * [simplify]: Extracting #0: cost 1 inf + 0 24.376 * * [simplify]: Extracting #1: cost 8 inf + 0 24.376 * * [simplify]: Extracting #2: cost 14 inf + 1 24.376 * * [simplify]: Extracting #3: cost 9 inf + 287 24.376 * * [simplify]: Extracting #4: cost 6 inf + 571 24.376 * * [simplify]: Extracting #5: cost 1 inf + 1462 24.376 * * [simplify]: Extracting #6: cost 0 inf + 1705 24.377 * [simplify]: Simplified to (/ (cbrt U) (* (cbrt J) 2)) 24.377 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (cos (/ K 2))) (/ (cbrt U) (* (cbrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.377 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 24.377 * [simplify]: Simplifying (/ (/ (* (cbrt U) (cbrt U)) (sqrt J)) (cos (/ K 2))) 24.377 * * [simplify]: iters left: 6 (11 enodes) 24.380 * * [simplify]: iters left: 5 (37 enodes) 24.387 * * [simplify]: iters left: 4 (52 enodes) 24.394 * * [simplify]: iters left: 3 (74 enodes) 24.405 * * [simplify]: iters left: 2 (85 enodes) 24.416 * * [simplify]: iters left: 1 (86 enodes) 24.426 * * [simplify]: Extracting #0: cost 1 inf + 0 24.427 * * [simplify]: Extracting #1: cost 15 inf + 0 24.427 * * [simplify]: Extracting #2: cost 31 inf + 0 24.427 * * [simplify]: Extracting #3: cost 29 inf + 165 24.427 * * [simplify]: Extracting #4: cost 15 inf + 1770 24.429 * * [simplify]: Extracting #5: cost 2 inf + 4991 24.430 * * [simplify]: Extracting #6: cost 0 inf + 5518 24.432 * [simplify]: Simplified to (/ (/ (cbrt U) (sqrt J)) (/ (cos (/ K 2)) (cbrt U))) 24.432 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (cbrt U) (sqrt J)) (/ (cos (/ K 2)) (cbrt U))) (/ (/ (cbrt U) (sqrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.433 * [simplify]: Simplifying (/ (/ (cbrt U) (sqrt J)) 2) 24.433 * * [simplify]: iters left: 5 (7 enodes) 24.436 * * [simplify]: iters left: 4 (23 enodes) 24.443 * * [simplify]: iters left: 3 (28 enodes) 24.451 * * [simplify]: iters left: 2 (30 enodes) 24.460 * * [simplify]: Extracting #0: cost 1 inf + 0 24.460 * * [simplify]: Extracting #1: cost 8 inf + 0 24.460 * * [simplify]: Extracting #2: cost 14 inf + 1 24.460 * * [simplify]: Extracting #3: cost 9 inf + 167 24.460 * * [simplify]: Extracting #4: cost 6 inf + 411 24.461 * * [simplify]: Extracting #5: cost 1 inf + 1182 24.461 * * [simplify]: Extracting #6: cost 0 inf + 1385 24.461 * [simplify]: Simplified to (/ (cbrt U) (* (sqrt J) 2)) 24.462 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (cbrt U) (sqrt J)) (/ (cos (/ K 2)) (cbrt U))) (/ (cbrt U) (* (sqrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.462 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 24.462 * [simplify]: Simplifying (/ (/ (* (cbrt U) (cbrt U)) 1) (cos (/ K 2))) 24.462 * * [simplify]: iters left: 6 (10 enodes) 24.467 * * [simplify]: iters left: 5 (34 enodes) 24.473 * * [simplify]: iters left: 4 (52 enodes) 24.483 * * [simplify]: iters left: 3 (67 enodes) 24.492 * * [simplify]: iters left: 2 (80 enodes) 24.504 * * [simplify]: Extracting #0: cost 1 inf + 0 24.504 * * [simplify]: Extracting #1: cost 9 inf + 0 24.504 * * [simplify]: Extracting #2: cost 16 inf + 1 24.504 * * [simplify]: Extracting #3: cost 18 inf + 2 24.504 * * [simplify]: Extracting #4: cost 13 inf + 169 24.504 * * [simplify]: Extracting #5: cost 4 inf + 1567 24.505 * * [simplify]: Extracting #6: cost 0 inf + 2358 24.505 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) 24.505 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (/ (cbrt U) J) 2))) (cos (/ K 2))) (* -2 J))) 24.505 * [simplify]: Simplifying (/ (/ (cbrt U) J) 2) 24.505 * * [simplify]: iters left: 5 (6 enodes) 24.507 * * [simplify]: iters left: 4 (20 enodes) 24.510 * * [simplify]: iters left: 3 (25 enodes) 24.514 * * [simplify]: iters left: 2 (27 enodes) 24.517 * * [simplify]: Extracting #0: cost 1 inf + 0 24.518 * * [simplify]: Extracting #1: cost 8 inf + 0 24.518 * * [simplify]: Extracting #2: cost 10 inf + 44 24.518 * * [simplify]: Extracting #3: cost 8 inf + 87 24.518 * * [simplify]: Extracting #4: cost 4 inf + 575 24.518 * * [simplify]: Extracting #5: cost 0 inf + 1063 24.518 * [simplify]: Simplified to (/ (/ (cbrt U) 2) J) 24.518 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (/ (cbrt U) 2) J))) (cos (/ K 2))) (* -2 J))) 24.518 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 24.518 * [simplify]: Simplifying (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.519 * * [simplify]: iters left: 6 (11 enodes) 24.521 * * [simplify]: iters left: 5 (37 enodes) 24.527 * * [simplify]: iters left: 4 (47 enodes) 24.534 * * [simplify]: iters left: 3 (59 enodes) 24.543 * * [simplify]: iters left: 2 (61 enodes) 24.550 * * [simplify]: Extracting #0: cost 1 inf + 0 24.550 * * [simplify]: Extracting #1: cost 12 inf + 0 24.551 * * [simplify]: Extracting #2: cost 25 inf + 0 24.551 * * [simplify]: Extracting #3: cost 21 inf + 568 24.551 * * [simplify]: Extracting #4: cost 10 inf + 1667 24.551 * * [simplify]: Extracting #5: cost 1 inf + 3957 24.552 * * [simplify]: Extracting #6: cost 0 inf + 4140 24.553 * [simplify]: Simplified to (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.553 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (/ (sqrt U) (cbrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.553 * [simplify]: Simplifying (/ (/ (sqrt U) (cbrt J)) 2) 24.553 * * [simplify]: iters left: 5 (7 enodes) 24.555 * * [simplify]: iters left: 4 (23 enodes) 24.560 * * [simplify]: iters left: 3 (28 enodes) 24.564 * * [simplify]: iters left: 2 (30 enodes) 24.568 * * [simplify]: Extracting #0: cost 1 inf + 0 24.568 * * [simplify]: Extracting #1: cost 8 inf + 0 24.569 * * [simplify]: Extracting #2: cost 14 inf + 1 24.569 * * [simplify]: Extracting #3: cost 9 inf + 287 24.569 * * [simplify]: Extracting #4: cost 6 inf + 491 24.569 * * [simplify]: Extracting #5: cost 1 inf + 1182 24.569 * * [simplify]: Extracting #6: cost 0 inf + 1385 24.569 * [simplify]: Simplified to (/ (sqrt U) (* (cbrt J) 2)) 24.569 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (sqrt U) (* (cbrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.569 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 24.570 * [simplify]: Simplifying (/ (/ (sqrt U) (sqrt J)) (cos (/ K 2))) 24.570 * * [simplify]: iters left: 5 (10 enodes) 24.572 * * [simplify]: iters left: 4 (32 enodes) 24.577 * * [simplify]: iters left: 3 (37 enodes) 24.582 * * [simplify]: iters left: 2 (39 enodes) 24.587 * * [simplify]: Extracting #0: cost 1 inf + 0 24.587 * * [simplify]: Extracting #1: cost 8 inf + 0 24.587 * * [simplify]: Extracting #2: cost 17 inf + 0 24.587 * * [simplify]: Extracting #3: cost 17 inf + 43 24.587 * * [simplify]: Extracting #4: cost 13 inf + 127 24.587 * * [simplify]: Extracting #5: cost 8 inf + 496 24.588 * * [simplify]: Extracting #6: cost 3 inf + 1411 24.588 * * [simplify]: Extracting #7: cost 0 inf + 1960 24.588 * [simplify]: Simplified to (/ (sqrt U) (* (cos (/ K 2)) (sqrt J))) 24.588 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) (* (cos (/ K 2)) (sqrt J))) (/ (/ (sqrt U) (sqrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.589 * [simplify]: Simplifying (/ (/ (sqrt U) (sqrt J)) 2) 24.589 * * [simplify]: iters left: 5 (7 enodes) 24.590 * * [simplify]: iters left: 4 (23 enodes) 24.594 * * [simplify]: iters left: 3 (28 enodes) 24.598 * * [simplify]: iters left: 2 (30 enodes) 24.602 * * [simplify]: Extracting #0: cost 1 inf + 0 24.602 * * [simplify]: Extracting #1: cost 8 inf + 0 24.602 * * [simplify]: Extracting #2: cost 14 inf + 1 24.603 * * [simplify]: Extracting #3: cost 9 inf + 167 24.603 * * [simplify]: Extracting #4: cost 6 inf + 331 24.603 * * [simplify]: Extracting #5: cost 1 inf + 902 24.603 * * [simplify]: Extracting #6: cost 0 inf + 1065 24.604 * [simplify]: Simplified to (/ (sqrt U) (* (sqrt J) 2)) 24.604 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ (sqrt U) (sqrt J)) (cos (/ K 2))) (/ (sqrt U) (* (sqrt J) 2)))) (cos (/ K 2))) (* -2 J))) 24.604 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 24.604 * [simplify]: Simplifying (/ (/ (sqrt U) 1) (cos (/ K 2))) 24.605 * * [simplify]: iters left: 5 (9 enodes) 24.610 * * [simplify]: iters left: 4 (29 enodes) 24.619 * * [simplify]: iters left: 3 (33 enodes) 24.629 * * [simplify]: iters left: 2 (36 enodes) 24.639 * * [simplify]: Extracting #0: cost 1 inf + 0 24.639 * * [simplify]: Extracting #1: cost 5 inf + 0 24.639 * * [simplify]: Extracting #2: cost 8 inf + 1 24.639 * * [simplify]: Extracting #3: cost 10 inf + 2 24.639 * * [simplify]: Extracting #4: cost 0 inf + 740 24.639 * [simplify]: Simplified to (/ (sqrt U) (cos (/ K 2))) 24.639 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) (cos (/ K 2))) (/ (/ (sqrt U) J) 2))) (cos (/ K 2))) (* -2 J))) 24.640 * [simplify]: Simplifying (/ (/ (sqrt U) J) 2) 24.640 * * [simplify]: iters left: 5 (6 enodes) 24.641 * * [simplify]: iters left: 4 (20 enodes) 24.644 * * [simplify]: iters left: 3 (25 enodes) 24.648 * * [simplify]: iters left: 2 (27 enodes) 24.651 * * [simplify]: Extracting #0: cost 1 inf + 0 24.652 * * [simplify]: Extracting #1: cost 8 inf + 0 24.652 * * [simplify]: Extracting #2: cost 10 inf + 44 24.652 * * [simplify]: Extracting #3: cost 8 inf + 87 24.652 * * [simplify]: Extracting #4: cost 4 inf + 415 24.652 * * [simplify]: Extracting #5: cost 0 inf + 743 24.652 * [simplify]: Simplified to (/ (/ (sqrt U) 2) J) 24.652 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (sqrt U) (cos (/ K 2))) (/ (/ (sqrt U) 2) J))) (cos (/ K 2))) (* -2 J))) 24.652 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 24.652 * [simplify]: Simplifying (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.652 * * [simplify]: iters left: 6 (10 enodes) 24.657 * * [simplify]: iters left: 5 (36 enodes) 24.663 * * [simplify]: iters left: 4 (48 enodes) 24.671 * * [simplify]: iters left: 3 (60 enodes) 24.684 * * [simplify]: iters left: 2 (62 enodes) 24.700 * * [simplify]: Extracting #0: cost 1 inf + 0 24.700 * * [simplify]: Extracting #1: cost 12 inf + 0 24.701 * * [simplify]: Extracting #2: cost 22 inf + 1 24.701 * * [simplify]: Extracting #3: cost 24 inf + 2 24.701 * * [simplify]: Extracting #4: cost 16 inf + 692 24.701 * * [simplify]: Extracting #5: cost 8 inf + 2034 24.702 * * [simplify]: Extracting #6: cost 0 inf + 3658 24.703 * [simplify]: Simplified to (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) 24.704 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (/ U (cbrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.704 * [simplify]: Simplifying (/ (/ U (cbrt J)) 2) 24.704 * * [simplify]: iters left: 5 (6 enodes) 24.707 * * [simplify]: iters left: 4 (20 enodes) 24.714 * * [simplify]: iters left: 3 (25 enodes) 24.721 * * [simplify]: iters left: 2 (27 enodes) 24.728 * * [simplify]: Extracting #0: cost 1 inf + 0 24.728 * * [simplify]: Extracting #1: cost 8 inf + 0 24.728 * * [simplify]: Extracting #2: cost 11 inf + 2 24.729 * * [simplify]: Extracting #3: cost 9 inf + 45 24.729 * * [simplify]: Extracting #4: cost 2 inf + 778 24.729 * * [simplify]: Extracting #5: cost 0 inf + 1063 24.729 * [simplify]: Simplified to (/ (/ U 2) (cbrt J)) 24.729 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ 1 (* (cbrt J) (cbrt J))) (cos (/ K 2))) (/ (/ U 2) (cbrt J)))) (cos (/ K 2))) (* -2 J))) 24.730 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 24.730 * [simplify]: Simplifying (/ (/ 1 (sqrt J)) (cos (/ K 2))) 24.730 * * [simplify]: iters left: 5 (9 enodes) 24.734 * * [simplify]: iters left: 4 (31 enodes) 24.744 * * [simplify]: iters left: 3 (38 enodes) 24.755 * * [simplify]: iters left: 2 (40 enodes) 24.766 * * [simplify]: Extracting #0: cost 1 inf + 0 24.766 * * [simplify]: Extracting #1: cost 8 inf + 0 24.766 * * [simplify]: Extracting #2: cost 14 inf + 1 24.766 * * [simplify]: Extracting #3: cost 16 inf + 2 24.767 * * [simplify]: Extracting #4: cost 11 inf + 168 24.767 * * [simplify]: Extracting #5: cost 6 inf + 619 24.767 * * [simplify]: Extracting #6: cost 1 inf + 1495 24.768 * * [simplify]: Extracting #7: cost 0 inf + 1638 24.768 * [simplify]: Simplified to (/ 1 (* (cos (/ K 2)) (sqrt J))) 24.768 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (* (cos (/ K 2)) (sqrt J))) (/ (/ U (sqrt J)) 2))) (cos (/ K 2))) (* -2 J))) 24.769 * [simplify]: Simplifying (/ (/ U (sqrt J)) 2) 24.769 * * [simplify]: iters left: 5 (6 enodes) 24.772 * * [simplify]: iters left: 4 (20 enodes) 24.778 * * [simplify]: iters left: 3 (25 enodes) 24.785 * * [simplify]: iters left: 2 (27 enodes) 24.796 * * [simplify]: Extracting #0: cost 1 inf + 0 24.796 * * [simplify]: Extracting #1: cost 8 inf + 0 24.796 * * [simplify]: Extracting #2: cost 11 inf + 2 24.796 * * [simplify]: Extracting #3: cost 9 inf + 45 24.796 * * [simplify]: Extracting #4: cost 2 inf + 538 24.796 * * [simplify]: Extracting #5: cost 0 inf + 743 24.797 * [simplify]: Simplified to (/ (/ U 2) (sqrt J)) 24.797 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ (/ 1 (sqrt J)) (cos (/ K 2))) (/ (/ U 2) (sqrt J)))) (cos (/ K 2))) (* -2 J))) 24.797 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 24.797 * [simplify]: Simplifying (/ (/ 1 1) (cos (/ K 2))) 24.797 * * [simplify]: iters left: 5 (7 enodes) 24.801 * * [simplify]: iters left: 4 (21 enodes) 24.807 * * [simplify]: iters left: 3 (23 enodes) 24.814 * * [simplify]: Extracting #0: cost 1 inf + 0 24.814 * * [simplify]: Extracting #1: cost 4 inf + 0 24.814 * * [simplify]: Extracting #2: cost 5 inf + 1 24.814 * * [simplify]: Extracting #3: cost 8 inf + 1 24.815 * * [simplify]: Extracting #4: cost 1 inf + 434 24.815 * * [simplify]: Extracting #5: cost 0 inf + 577 24.815 * [simplify]: Simplified to (/ 1 (cos (/ K 2))) 24.815 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.816 * [simplify]: Simplifying (/ (/ U J) 2) 24.816 * * [simplify]: iters left: 4 (5 enodes) 24.818 * * [simplify]: iters left: 3 (17 enodes) 24.824 * * [simplify]: iters left: 2 (22 enodes) 24.830 * * [simplify]: iters left: 1 (24 enodes) 24.837 * * [simplify]: Extracting #0: cost 1 inf + 0 24.837 * * [simplify]: Extracting #1: cost 8 inf + 0 24.837 * * [simplify]: Extracting #2: cost 7 inf + 45 24.837 * * [simplify]: Extracting #3: cost 0 inf + 421 24.838 * [simplify]: Simplified to (/ (/ U J) 2) 24.838 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.838 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 24.838 * [simplify]: Simplifying (/ 1 (cos (/ K 2))) 24.838 * * [simplify]: iters left: 5 (6 enodes) 24.842 * * [simplify]: iters left: 4 (20 enodes) 24.848 * * [simplify]: iters left: 3 (22 enodes) 24.853 * * [simplify]: Extracting #0: cost 1 inf + 0 24.853 * * [simplify]: Extracting #1: cost 4 inf + 0 24.853 * * [simplify]: Extracting #2: cost 5 inf + 1 24.853 * * [simplify]: Extracting #3: cost 8 inf + 1 24.853 * * [simplify]: Extracting #4: cost 6 inf + 3 24.853 * * [simplify]: Extracting #5: cost 1 inf + 434 24.853 * * [simplify]: Extracting #6: cost 0 inf + 577 24.853 * [simplify]: Simplified to (/ 1 (cos (/ K 2))) 24.853 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.854 * [simplify]: Simplifying (/ (/ U J) 2) 24.854 * * [simplify]: iters left: 4 (5 enodes) 24.855 * * [simplify]: iters left: 3 (17 enodes) 24.858 * * [simplify]: iters left: 2 (22 enodes) 24.861 * * [simplify]: iters left: 1 (24 enodes) 24.864 * * [simplify]: Extracting #0: cost 1 inf + 0 24.864 * * [simplify]: Extracting #1: cost 8 inf + 0 24.864 * * [simplify]: Extracting #2: cost 7 inf + 45 24.864 * * [simplify]: Extracting #3: cost 0 inf + 421 24.864 * [simplify]: Simplified to (/ (/ U J) 2) 24.864 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ 1 (cos (/ K 2))) (/ (/ U J) 2))) (cos (/ K 2))) (* -2 J))) 24.865 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 24.865 * [simplify]: Simplifying (/ U (cos (/ K 2))) 24.865 * * [simplify]: iters left: 5 (6 enodes) 24.866 * * [simplify]: iters left: 4 (18 enodes) 24.869 * * [simplify]: Extracting #0: cost 1 inf + 0 24.869 * * [simplify]: Extracting #1: cost 4 inf + 0 24.869 * * [simplify]: Extracting #2: cost 5 inf + 1 24.869 * * [simplify]: Extracting #3: cost 8 inf + 1 24.869 * * [simplify]: Extracting #4: cost 0 inf + 577 24.869 * [simplify]: Simplified to (/ U (cos (/ K 2))) 24.869 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (* (/ U (cos (/ K 2))) (/ (/ 1 J) 2))) (cos (/ K 2))) (* -2 J))) 24.869 * [simplify]: Simplifying (/ (/ 1 J) 2) 24.870 * * [simplify]: iters left: 4 (5 enodes) 24.871 * * [simplify]: iters left: 3 (19 enodes) 24.875 * * [simplify]: iters left: 2 (27 enodes) 24.879 * * [simplify]: iters left: 1 (29 enodes) 24.884 * * [simplify]: Extracting #0: cost 1 inf + 0 24.884 * * [simplify]: Extracting #1: cost 8 inf + 0 24.884 * * [simplify]: Extracting #2: cost 5 inf + 46 24.884 * * [simplify]: Extracting #3: cost 0 inf + 256 24.884 * [simplify]: Simplified to (/ 1/2 J) 24.884 * [simplify]: Simplified (2 1 1 2 2) to (λ (J K U) (* (* (hypot 1 (* (/ U (cos (/ K 2))) (/ 1/2 J))) (cos (/ K 2))) (* -2 J))) 24.884 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 24.884 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 24.884 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 24.884 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 24.884 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 24.884 * [simplify]: Simplifying (* (cbrt (/ U J)) (cbrt (/ U J))) 24.884 * * [simplify]: iters left: 5 (5 enodes) 24.885 * * [simplify]: iters left: 4 (15 enodes) 24.889 * * [simplify]: Extracting #0: cost 1 inf + 0 24.889 * * [simplify]: Extracting #1: cost 3 inf + 0 24.889 * * [simplify]: Extracting #2: cost 5 inf + 0 24.889 * * [simplify]: Extracting #3: cost 8 inf + 0 24.889 * * [simplify]: Extracting #4: cost 6 inf + 2 24.889 * * [simplify]: Extracting #5: cost 0 inf + 654 24.889 * [simplify]: Simplified to (* (cbrt (/ U J)) (cbrt (/ U J))) 24.889 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt (/ U J)) (cbrt (/ U J))) (/ (* (cos (/ K 2)) 2) (cbrt (/ U J))))) (cos (/ K 2))) (* -2 J))) 24.890 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 24.890 * [simplify]: Simplifying (sqrt (/ U J)) 24.890 * * [simplify]: iters left: 3 (4 enodes) 24.892 * * [simplify]: iters left: 2 (12 enodes) 24.895 * * [simplify]: Extracting #0: cost 1 inf + 0 24.895 * * [simplify]: Extracting #1: cost 3 inf + 0 24.895 * * [simplify]: Extracting #2: cost 6 inf + 0 24.895 * * [simplify]: Extracting #3: cost 4 inf + 2 24.895 * * [simplify]: Extracting #4: cost 0 inf + 250 24.895 * [simplify]: Simplified to (sqrt (/ U J)) 24.895 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (sqrt (/ U J)) (/ (* (cos (/ K 2)) 2) (sqrt (/ U J))))) (cos (/ K 2))) (* -2 J))) 24.895 * * * * [progress]: [ 62 / 118 ] simplifiying candidate # 24.896 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) (* (cbrt J) (cbrt J))) 24.896 * * [simplify]: iters left: 5 (7 enodes) 24.899 * * [simplify]: iters left: 4 (27 enodes) 24.907 * * [simplify]: iters left: 3 (42 enodes) 24.916 * * [simplify]: iters left: 2 (49 enodes) 24.923 * * [simplify]: iters left: 1 (52 enodes) 24.930 * * [simplify]: Extracting #0: cost 1 inf + 0 24.930 * * [simplify]: Extracting #1: cost 11 inf + 0 24.930 * * [simplify]: Extracting #2: cost 22 inf + 0 24.930 * * [simplify]: Extracting #3: cost 18 inf + 164 24.930 * * [simplify]: Extracting #4: cost 9 inf + 1617 24.931 * * [simplify]: Extracting #5: cost 0 inf + 3554 24.931 * [simplify]: Simplified to (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) 24.931 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (/ (* (cos (/ K 2)) 2) (/ (cbrt U) (cbrt J))))) (cos (/ K 2))) (* -2 J))) 24.931 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 24.932 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) (sqrt J)) 24.932 * * [simplify]: iters left: 5 (6 enodes) 24.933 * * [simplify]: iters left: 4 (20 enodes) 24.936 * * [simplify]: iters left: 3 (24 enodes) 24.939 * * [simplify]: iters left: 2 (27 enodes) 24.942 * * [simplify]: Extracting #0: cost 1 inf + 0 24.942 * * [simplify]: Extracting #1: cost 7 inf + 0 24.942 * * [simplify]: Extracting #2: cost 14 inf + 0 24.942 * * [simplify]: Extracting #3: cost 12 inf + 2 24.943 * * [simplify]: Extracting #4: cost 6 inf + 691 24.943 * * [simplify]: Extracting #5: cost 0 inf + 1540 24.943 * [simplify]: Simplified to (* (cbrt U) (/ (cbrt U) (sqrt J))) 24.943 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt U) (/ (cbrt U) (sqrt J))) (/ (* (cos (/ K 2)) 2) (/ (cbrt U) (sqrt J))))) (cos (/ K 2))) (* -2 J))) 24.943 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 24.943 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 1) 24.943 * * [simplify]: iters left: 5 (5 enodes) 24.945 * * [simplify]: iters left: 4 (17 enodes) 24.948 * * [simplify]: iters left: 3 (27 enodes) 24.954 * * [simplify]: iters left: 2 (28 enodes) 24.961 * * [simplify]: Extracting #0: cost 1 inf + 0 24.961 * * [simplify]: Extracting #1: cost 5 inf + 0 24.961 * * [simplify]: Extracting #2: cost 7 inf + 1 24.961 * * [simplify]: Extracting #3: cost 6 inf + 2 24.962 * * [simplify]: Extracting #4: cost 1 inf + 528 24.962 * * [simplify]: Extracting #5: cost 0 inf + 650 24.962 * [simplify]: Simplified to (* (cbrt U) (cbrt U)) 24.962 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (* (cbrt U) (cbrt U)) (/ (* (cos (/ K 2)) 2) (/ (cbrt U) J)))) (cos (/ K 2))) (* -2 J))) 24.962 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 24.963 * [simplify]: Simplifying (/ (sqrt U) (* (cbrt J) (cbrt J))) 24.963 * * [simplify]: iters left: 5 (6 enodes) 24.965 * * [simplify]: iters left: 4 (20 enodes) 24.971 * * [simplify]: iters left: 3 (22 enodes) 24.977 * * [simplify]: Extracting #0: cost 1 inf + 0 24.977 * * [simplify]: Extracting #1: cost 6 inf + 0 24.977 * * [simplify]: Extracting #2: cost 12 inf + 0 24.977 * * [simplify]: Extracting #3: cost 10 inf + 2 24.977 * * [simplify]: Extracting #4: cost 0 inf + 1216 24.978 * [simplify]: Simplified to (/ (sqrt U) (* (cbrt J) (cbrt J))) 24.978 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (/ (* (cos (/ K 2)) 2) (/ (sqrt U) (cbrt J))))) (cos (/ K 2))) (* -2 J))) 24.978 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 24.978 * [simplify]: Simplifying (/ (sqrt U) (sqrt J)) 24.979 * * [simplify]: iters left: 3 (5 enodes) 24.981 * * [simplify]: iters left: 2 (15 enodes) 24.985 * * [simplify]: Extracting #0: cost 1 inf + 0 24.985 * * [simplify]: Extracting #1: cost 4 inf + 0 24.985 * * [simplify]: Extracting #2: cost 8 inf + 0 24.985 * * [simplify]: Extracting #3: cost 4 inf + 84 24.985 * * [simplify]: Extracting #4: cost 0 inf + 410 24.985 * [simplify]: Simplified to (/ (sqrt U) (sqrt J)) 24.985 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ (sqrt U) (sqrt J)) (/ (* (cos (/ K 2)) 2) (/ (sqrt U) (sqrt J))))) (cos (/ K 2))) (* -2 J))) 24.985 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 24.986 * [simplify]: Simplifying (/ (sqrt U) 1) 24.986 * * [simplify]: iters left: 3 (4 enodes) 24.988 * * [simplify]: iters left: 2 (12 enodes) 24.992 * * [simplify]: iters left: 1 (14 enodes) 24.997 * * [simplify]: Extracting #0: cost 1 inf + 0 24.997 * * [simplify]: Extracting #1: cost 4 inf + 0 24.997 * * [simplify]: Extracting #2: cost 0 inf + 84 24.997 * [simplify]: Simplified to (sqrt U) 24.997 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (sqrt U) (/ (* (cos (/ K 2)) 2) (/ (sqrt U) J)))) (cos (/ K 2))) (* -2 J))) 24.997 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 24.997 * [simplify]: Simplifying (/ 1 (* (cbrt J) (cbrt J))) 24.997 * * [simplify]: iters left: 5 (5 enodes) 24.999 * * [simplify]: iters left: 4 (19 enodes) 25.002 * * [simplify]: iters left: 3 (23 enodes) 25.006 * * [simplify]: Extracting #0: cost 1 inf + 0 25.006 * * [simplify]: Extracting #1: cost 6 inf + 0 25.006 * * [simplify]: Extracting #2: cost 9 inf + 1 25.006 * * [simplify]: Extracting #3: cost 1 inf + 852 25.006 * * [simplify]: Extracting #4: cost 0 inf + 974 25.006 * [simplify]: Simplified to (/ 1 (* (cbrt J) (cbrt J))) 25.006 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ 1 (* (cbrt J) (cbrt J))) (/ (* (cos (/ K 2)) 2) (/ U (cbrt J))))) (cos (/ K 2))) (* -2 J))) 25.006 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 25.006 * [simplify]: Simplifying (/ 1 (sqrt J)) 25.006 * * [simplify]: iters left: 3 (4 enodes) 25.008 * * [simplify]: iters left: 2 (14 enodes) 25.010 * * [simplify]: iters left: 1 (16 enodes) 25.012 * * [simplify]: Extracting #0: cost 1 inf + 0 25.012 * * [simplify]: Extracting #1: cost 4 inf + 0 25.012 * * [simplify]: Extracting #2: cost 5 inf + 1 25.012 * * [simplify]: Extracting #3: cost 3 inf + 43 25.012 * * [simplify]: Extracting #4: cost 1 inf + 166 25.012 * * [simplify]: Extracting #5: cost 0 inf + 248 25.013 * [simplify]: Simplified to (/ 1 (sqrt J)) 25.013 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ (/ 1 (sqrt J)) (/ (* (cos (/ K 2)) 2) (/ U (sqrt J))))) (cos (/ K 2))) (* -2 J))) 25.013 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 25.013 * [simplify]: Simplifying (/ 1 1) 25.013 * * [simplify]: iters left: 2 (2 enodes) 25.014 * * [simplify]: iters left: 1 (6 enodes) 25.017 * * [simplify]: Extracting #0: cost 1 inf + 0 25.017 * * [simplify]: Extracting #1: cost 0 inf + 1 25.017 * [simplify]: Simplified to 1 25.017 * [simplify]: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (hypot 1 (/ 1 (/ (* (cos (/ K 2)) 2) (/ U J)))) (cos (/ K 2))) (* -2 J))) 25.017 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 25.017 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 25.017 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 25.017 * * * * [progress]: [ 74 / 118 ] simplifiying candidate #real (real->posit16 (/ (/ U J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J)))> 25.017 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 25.017 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 25.017 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 25.017 * [simplify]: Simplifying (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))) 25.018 * * [simplify]: iters left: 6 (12 enodes) 25.021 * * [simplify]: iters left: 5 (44 enodes) 25.028 * * [simplify]: iters left: 4 (60 enodes) 25.037 * * [simplify]: iters left: 3 (78 enodes) 25.047 * * [simplify]: iters left: 2 (85 enodes) 25.058 * * [simplify]: Extracting #0: cost 1 inf + 0 25.058 * * [simplify]: Extracting #1: cost 4 inf + 0 25.058 * * [simplify]: Extracting #2: cost 9 inf + 0 25.058 * * [simplify]: Extracting #3: cost 20 inf + 1 25.059 * * [simplify]: Extracting #4: cost 25 inf + 47 25.059 * * [simplify]: Extracting #5: cost 14 inf + 1704 25.060 * * [simplify]: Extracting #6: cost 2 inf + 3851 25.060 * * [simplify]: Extracting #7: cost 0 inf + 4315 25.061 * [simplify]: Simplified to (* (cos (/ K 2)) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) 25.061 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (* (cos (/ K 2)) (hypot 1 (/ U (* (* J 2) (cos (/ K 2)))))) 1) (* -2 J))) 25.061 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 25.061 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 25.061 * [simplify]: Simplifying (+ (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (log (cos (/ K 2)))) 25.062 * * [simplify]: iters left: 6 (14 enodes) 25.065 * * [simplify]: iters left: 5 (50 enodes) 25.074 * * [simplify]: iters left: 4 (66 enodes) 25.093 * * [simplify]: iters left: 3 (84 enodes) 25.119 * * [simplify]: iters left: 2 (91 enodes) 25.143 * * [simplify]: Extracting #0: cost 1 inf + 0 25.143 * * [simplify]: Extracting #1: cost 4 inf + 0 25.143 * * [simplify]: Extracting #2: cost 8 inf + 0 25.143 * * [simplify]: Extracting #3: cost 13 inf + 0 25.143 * * [simplify]: Extracting #4: cost 24 inf + 1 25.143 * * [simplify]: Extracting #5: cost 30 inf + 5 25.143 * * [simplify]: Extracting #6: cost 21 inf + 1266 25.144 * * [simplify]: Extracting #7: cost 2 inf + 4996 25.145 * * [simplify]: Extracting #8: cost 0 inf + 5639 25.146 * [simplify]: Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) 25.146 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) (* -2 J))) 25.146 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 25.146 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 25.146 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 25.146 * [simplify]: Simplifying (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) 25.147 * * [simplify]: iters left: 6 (16 enodes) 25.151 * * [simplify]: iters left: 5 (62 enodes) 25.162 * * [simplify]: iters left: 4 (107 enodes) 25.183 * * [simplify]: iters left: 3 (179 enodes) 25.250 * * [simplify]: iters left: 2 (260 enodes) 25.309 * * [simplify]: iters left: 1 (417 enodes) 25.432 * * [simplify]: Extracting #0: cost 1 inf + 0 25.432 * * [simplify]: Extracting #1: cost 50 inf + 0 25.432 * * [simplify]: Extracting #2: cost 152 inf + 1 25.433 * * [simplify]: Extracting #3: cost 170 inf + 4 25.434 * * [simplify]: Extracting #4: cost 173 inf + 176 25.436 * * [simplify]: Extracting #5: cost 127 inf + 17875 25.459 * * [simplify]: Extracting #6: cost 23 inf + 81473 25.474 * * [simplify]: Extracting #7: cost 0 inf + 97973 25.501 * [simplify]: Simplified to (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))))) 25.501 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))))) (* -2 J))) 25.501 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 25.501 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 25.501 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 25.501 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 25.501 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 25.502 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.502 * * [simplify]: iters left: 6 (14 enodes) 25.509 * * [simplify]: iters left: 5 (50 enodes) 25.524 * * [simplify]: iters left: 4 (66 enodes) 25.543 * * [simplify]: iters left: 3 (84 enodes) 25.566 * * [simplify]: iters left: 2 (91 enodes) 25.590 * * [simplify]: Extracting #0: cost 1 inf + 0 25.590 * * [simplify]: Extracting #1: cost 4 inf + 0 25.590 * * [simplify]: Extracting #2: cost 8 inf + 0 25.591 * * [simplify]: Extracting #3: cost 13 inf + 0 25.591 * * [simplify]: Extracting #4: cost 24 inf + 1 25.591 * * [simplify]: Extracting #5: cost 30 inf + 5 25.591 * * [simplify]: Extracting #6: cost 21 inf + 1236 25.593 * * [simplify]: Extracting #7: cost 2 inf + 4816 25.595 * * [simplify]: Extracting #8: cost 0 inf + 5399 25.597 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.597 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2))))) (* -2 J))) 25.597 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.597 * * [simplify]: iters left: 6 (14 enodes) 25.604 * * [simplify]: iters left: 5 (50 enodes) 25.620 * * [simplify]: iters left: 4 (66 enodes) 25.642 * * [simplify]: iters left: 3 (84 enodes) 25.656 * * [simplify]: iters left: 2 (91 enodes) 25.668 * * [simplify]: Extracting #0: cost 1 inf + 0 25.668 * * [simplify]: Extracting #1: cost 4 inf + 0 25.668 * * [simplify]: Extracting #2: cost 8 inf + 0 25.668 * * [simplify]: Extracting #3: cost 13 inf + 0 25.668 * * [simplify]: Extracting #4: cost 24 inf + 1 25.669 * * [simplify]: Extracting #5: cost 30 inf + 5 25.669 * * [simplify]: Extracting #6: cost 21 inf + 1236 25.670 * * [simplify]: Extracting #7: cost 2 inf + 4816 25.671 * * [simplify]: Extracting #8: cost 0 inf + 5399 25.672 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) 25.672 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (sqrt (cos (/ K 2))))) (* -2 J))) 25.672 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 25.672 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 25.672 * * [simplify]: iters left: 4 (5 enodes) 25.673 * * [simplify]: iters left: 3 (15 enodes) 25.677 * * [simplify]: Extracting #0: cost 1 inf + 0 25.677 * * [simplify]: Extracting #1: cost 3 inf + 0 25.678 * * [simplify]: Extracting #2: cost 5 inf + 0 25.678 * * [simplify]: Extracting #3: cost 8 inf + 0 25.678 * * [simplify]: Extracting #4: cost 6 inf + 2 25.678 * * [simplify]: Extracting #5: cost 0 inf + 654 25.678 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 25.678 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* -2 J))) 25.678 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 25.679 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 25.679 * * [simplify]: iters left: 4 (5 enodes) 25.681 * * [simplify]: iters left: 3 (15 enodes) 25.686 * * [simplify]: Extracting #0: cost 1 inf + 0 25.686 * * [simplify]: Extracting #1: cost 3 inf + 0 25.686 * * [simplify]: Extracting #2: cost 5 inf + 0 25.686 * * [simplify]: Extracting #3: cost 8 inf + 0 25.686 * * [simplify]: Extracting #4: cost 6 inf + 2 25.687 * * [simplify]: Extracting #5: cost 0 inf + 574 25.687 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 25.687 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* -2 J))) 25.687 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 25.687 * [simplify]: Simplifying (cos (/ K 2)) 25.687 * * [simplify]: iters left: 3 (4 enodes) 25.690 * * [simplify]: iters left: 2 (12 enodes) 25.694 * * [simplify]: Extracting #0: cost 1 inf + 0 25.694 * * [simplify]: Extracting #1: cost 3 inf + 0 25.694 * * [simplify]: Extracting #2: cost 6 inf + 0 25.694 * * [simplify]: Extracting #3: cost 4 inf + 2 25.694 * * [simplify]: Extracting #4: cost 0 inf + 290 25.694 * [simplify]: Simplified to (cos (/ K 2)) 25.694 * [simplify]: Simplified (2 1 2) to (λ (J K U) (* (* (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) 1) (cos (/ K 2))) (* -2 J))) 25.694 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 25.694 * [simplify]: Simplifying (* (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) 25.695 * * [simplify]: iters left: 6 (13 enodes) 25.702 * * [simplify]: iters left: 5 (46 enodes) 25.709 * * [simplify]: iters left: 4 (62 enodes) 25.719 * * [simplify]: iters left: 3 (80 enodes) 25.734 * * [simplify]: iters left: 2 (87 enodes) 25.757 * * [simplify]: Extracting #0: cost 1 inf + 0 25.758 * * [simplify]: Extracting #1: cost 3 inf + 0 25.758 * * [simplify]: Extracting #2: cost 5 inf + 0 25.758 * * [simplify]: Extracting #3: cost 8 inf + 0 25.758 * * [simplify]: Extracting #4: cost 18 inf + 1 25.758 * * [simplify]: Extracting #5: cost 26 inf + 46 25.758 * * [simplify]: Extracting #6: cost 28 inf + 255 25.759 * * [simplify]: Extracting #7: cost 24 inf + 423 25.759 * * [simplify]: Extracting #8: cost 15 inf + 1668 25.761 * * [simplify]: Extracting #9: cost 1 inf + 4835 25.762 * * [simplify]: Extracting #10: cost 0 inf + 5195 25.763 * [simplify]: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) 25.763 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (* (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (cbrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cbrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* -2 J))) 25.763 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 25.764 * [simplify]: Simplifying (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) 25.764 * * [simplify]: iters left: 6 (12 enodes) 25.767 * * [simplify]: iters left: 5 (43 enodes) 25.774 * * [simplify]: iters left: 4 (59 enodes) 25.782 * * [simplify]: iters left: 3 (77 enodes) 25.795 * * [simplify]: iters left: 2 (84 enodes) 25.817 * * [simplify]: Extracting #0: cost 1 inf + 0 25.818 * * [simplify]: Extracting #1: cost 3 inf + 0 25.818 * * [simplify]: Extracting #2: cost 6 inf + 0 25.818 * * [simplify]: Extracting #3: cost 16 inf + 1 25.818 * * [simplify]: Extracting #4: cost 23 inf + 129 25.818 * * [simplify]: Extracting #5: cost 25 inf + 338 25.819 * * [simplify]: Extracting #6: cost 22 inf + 423 25.819 * * [simplify]: Extracting #7: cost 11 inf + 1831 25.821 * * [simplify]: Extracting #8: cost 1 inf + 4035 25.822 * * [simplify]: Extracting #9: cost 0 inf + 4315 25.824 * [simplify]: Simplified to (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 25.824 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2)))) (cos (/ K 2)))) (* -2 J))) 25.824 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 25.824 * * * * [progress]: [ 94 / 118 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))) (cos (/ K 2))))) (* -2 J)))> 25.824 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 25.824 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 25.825 * * * * [progress]: [ 106 / 118 ] simplifiying candidate #real (real->posit16 (hypot 1 (/ (/ U J) (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J)))> 25.825 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 25.825 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 25.826 * * [simplify]: iters left: 6 (10 enodes) 25.831 * * [simplify]: iters left: 5 (44 enodes) 25.839 * * [simplify]: iters left: 4 (83 enodes) 25.855 * * [simplify]: iters left: 3 (132 enodes) 25.888 * * [simplify]: iters left: 2 (186 enodes) 25.952 * * [simplify]: iters left: 1 (263 enodes) 26.018 * * [simplify]: Extracting #0: cost 1 inf + 0 26.018 * * [simplify]: Extracting #1: cost 23 inf + 0 26.019 * * [simplify]: Extracting #2: cost 44 inf + 89 26.020 * * [simplify]: Extracting #3: cost 21 inf + 2920 26.021 * * [simplify]: Extracting #4: cost 0 inf + 4598 26.023 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 26.023 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 26.023 * * * * [progress]: [ 108 / 118 ] simplifiying candidate # 26.023 * [simplify]: Simplifying (* -1 U) 26.023 * * [simplify]: iters left: 2 (3 enodes) 26.024 * * [simplify]: iters left: 1 (11 enodes) 26.026 * * [simplify]: Extracting #0: cost 1 inf + 0 26.026 * * [simplify]: Extracting #1: cost 4 inf + 0 26.026 * * [simplify]: Extracting #2: cost 0 inf + 84 26.026 * [simplify]: Simplified to (- U) 26.026 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 26.026 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 26.026 * [simplify]: Simplifying (* -1 U) 26.026 * * [simplify]: iters left: 2 (3 enodes) 26.027 * * [simplify]: iters left: 1 (11 enodes) 26.029 * * [simplify]: Extracting #0: cost 1 inf + 0 26.029 * * [simplify]: Extracting #1: cost 4 inf + 0 26.029 * * [simplify]: Extracting #2: cost 0 inf + 84 26.029 * [simplify]: Simplified to (- U) 26.029 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 26.029 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 26.029 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 26.029 * * [simplify]: iters left: 6 (13 enodes) 26.033 * * [simplify]: iters left: 5 (55 enodes) 26.042 * * [simplify]: iters left: 4 (92 enodes) 26.058 * * [simplify]: iters left: 3 (155 enodes) 26.097 * * [simplify]: iters left: 2 (238 enodes) 26.153 * * [simplify]: iters left: 1 (367 enodes) 26.267 * * [simplify]: Extracting #0: cost 1 inf + 0 26.267 * * [simplify]: Extracting #1: cost 33 inf + 0 26.267 * * [simplify]: Extracting #2: cost 65 inf + 129 26.268 * * [simplify]: Extracting #3: cost 50 inf + 2235 26.270 * * [simplify]: Extracting #4: cost 4 inf + 6690 26.275 * * [simplify]: Extracting #5: cost 0 inf + 7294 26.284 * [simplify]: Simplified to (* (/ U J) (+ (* (* K K) 1/16) 1/2)) 26.284 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (* (/ U J) (+ (* (* K K) 1/16) 1/2))) (cos (/ K 2))) (* -2 J))) 26.284 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 26.284 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.285 * * [simplify]: iters left: 6 (9 enodes) 26.288 * * [simplify]: iters left: 5 (34 enodes) 26.293 * * [simplify]: iters left: 4 (56 enodes) 26.302 * * [simplify]: iters left: 3 (90 enodes) 26.314 * * [simplify]: iters left: 2 (114 enodes) 26.338 * * [simplify]: iters left: 1 (131 enodes) 26.356 * * [simplify]: Extracting #0: cost 1 inf + 0 26.356 * * [simplify]: Extracting #1: cost 22 inf + 0 26.356 * * [simplify]: Extracting #2: cost 37 inf + 3 26.356 * * [simplify]: Extracting #3: cost 31 inf + 380 26.357 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.358 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.362 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.364 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.364 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 26.364 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 26.364 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.365 * * [simplify]: iters left: 6 (9 enodes) 26.369 * * [simplify]: iters left: 5 (34 enodes) 26.377 * * [simplify]: iters left: 4 (56 enodes) 26.385 * * [simplify]: iters left: 3 (90 enodes) 26.398 * * [simplify]: iters left: 2 (114 enodes) 26.414 * * [simplify]: iters left: 1 (131 enodes) 26.431 * * [simplify]: Extracting #0: cost 1 inf + 0 26.431 * * [simplify]: Extracting #1: cost 22 inf + 0 26.431 * * [simplify]: Extracting #2: cost 37 inf + 3 26.432 * * [simplify]: Extracting #3: cost 31 inf + 380 26.432 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.433 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.434 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.437 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.437 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (cos (/ K 2))) (* -2 J))) 26.437 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 26.437 * [simplify]: Simplifying 1 26.437 * * [simplify]: iters left: 0 (1 enodes) 26.438 * * [simplify]: Extracting #0: cost 1 inf + 0 26.438 * * [simplify]: Extracting #1: cost 0 inf + 1 26.438 * [simplify]: Simplified to 1 26.438 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* -2 J))) 26.438 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 26.438 * [simplify]: Simplifying (* 1/2 (/ U J)) 26.438 * * [simplify]: iters left: 4 (5 enodes) 26.439 * * [simplify]: iters left: 3 (18 enodes) 26.442 * * [simplify]: iters left: 2 (24 enodes) 26.446 * * [simplify]: iters left: 1 (28 enodes) 26.453 * * [simplify]: Extracting #0: cost 1 inf + 0 26.453 * * [simplify]: Extracting #1: cost 10 inf + 0 26.453 * * [simplify]: Extracting #2: cost 9 inf + 87 26.453 * * [simplify]: Extracting #3: cost 0 inf + 547 26.454 * [simplify]: Simplified to (* (/ U J) 1/2) 26.454 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 26.454 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 26.454 * [simplify]: Simplifying (* 1/2 (/ U J)) 26.454 * * [simplify]: iters left: 4 (5 enodes) 26.457 * * [simplify]: iters left: 3 (18 enodes) 26.462 * * [simplify]: iters left: 2 (24 enodes) 26.469 * * [simplify]: iters left: 1 (28 enodes) 26.477 * * [simplify]: Extracting #0: cost 1 inf + 0 26.477 * * [simplify]: Extracting #1: cost 10 inf + 0 26.477 * * [simplify]: Extracting #2: cost 9 inf + 87 26.477 * * [simplify]: Extracting #3: cost 0 inf + 547 26.478 * [simplify]: Simplified to (* (/ U J) 1/2) 26.478 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ U J) 1/2) (* -2 J))) 26.478 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 26.478 * [simplify]: Simplifying 1 26.478 * * [simplify]: iters left: 0 (1 enodes) 26.480 * * [simplify]: Extracting #0: cost 1 inf + 0 26.480 * * [simplify]: Extracting #1: cost 0 inf + 1 26.480 * [simplify]: Simplified to 1 26.480 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 (cos (/ K 2))) (* -2 J))) 26.480 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 26.480 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.480 * * [simplify]: iters left: 6 (9 enodes) 26.485 * * [simplify]: iters left: 5 (34 enodes) 26.496 * * [simplify]: iters left: 4 (56 enodes) 26.510 * * [simplify]: iters left: 3 (90 enodes) 26.522 * * [simplify]: iters left: 2 (114 enodes) 26.537 * * [simplify]: iters left: 1 (131 enodes) 26.567 * * [simplify]: Extracting #0: cost 1 inf + 0 26.568 * * [simplify]: Extracting #1: cost 22 inf + 0 26.568 * * [simplify]: Extracting #2: cost 37 inf + 3 26.568 * * [simplify]: Extracting #3: cost 31 inf + 380 26.569 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.571 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.573 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.575 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.575 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) (cos (/ K 2))) (* -2 J))) 26.575 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 26.575 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 26.575 * * [simplify]: iters left: 6 (9 enodes) 26.580 * * [simplify]: iters left: 5 (34 enodes) 26.591 * * [simplify]: iters left: 4 (56 enodes) 26.608 * * [simplify]: iters left: 3 (90 enodes) 26.634 * * [simplify]: iters left: 2 (114 enodes) 26.666 * * [simplify]: iters left: 1 (131 enodes) 26.690 * * [simplify]: Extracting #0: cost 1 inf + 0 26.690 * * [simplify]: Extracting #1: cost 22 inf + 0 26.690 * * [simplify]: Extracting #2: cost 37 inf + 3 26.690 * * [simplify]: Extracting #3: cost 31 inf + 380 26.690 * * [simplify]: Extracting #4: cost 17 inf + 1834 26.692 * * [simplify]: Extracting #5: cost 3 inf + 4117 26.693 * * [simplify]: Extracting #6: cost 0 inf + 4586 26.694 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 26.694 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) (cos (/ K 2))) (* -2 J))) 26.694 * * * [progress]: adding candidates to table 28.277 * * [progress]: iteration 4 / 4 28.277 * * * [progress]: picking best candidate 28.308 * * * * [pick]: Picked # 28.308 * * * [progress]: localizing error 28.361 * * * [progress]: generating rewritten candidates 28.361 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 28.364 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 28.366 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 28.536 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 28.590 * * * [progress]: generating series expansions 28.590 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 28.590 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 28.590 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 28.590 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 28.590 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.590 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.590 * [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 28.590 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.590 * [taylor]: Taking taylor expansion of 1 in K 28.590 * [backup-simplify]: Simplify 1 into 1 28.590 * [taylor]: Taking taylor expansion of 1 in K 28.590 * [backup-simplify]: Simplify 1 into 1 28.590 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.590 * [taylor]: Taking taylor expansion of 1/2 in K 28.590 * [backup-simplify]: Simplify 1/2 into 1/2 28.590 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.590 * [taylor]: Taking taylor expansion of U in K 28.590 * [backup-simplify]: Simplify U into U 28.590 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.590 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.590 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.590 * [taylor]: Taking taylor expansion of 1/2 in K 28.590 * [backup-simplify]: Simplify 1/2 into 1/2 28.590 * [taylor]: Taking taylor expansion of K in K 28.590 * [backup-simplify]: Simplify 0 into 0 28.591 * [backup-simplify]: Simplify 1 into 1 28.591 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.592 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.592 * [taylor]: Taking taylor expansion of J in K 28.592 * [backup-simplify]: Simplify J into J 28.592 * [backup-simplify]: Simplify (* 1 J) into J 28.592 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.592 * [taylor]: Taking taylor expansion of 1/2 in K 28.592 * [backup-simplify]: Simplify 1/2 into 1/2 28.592 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.592 * [taylor]: Taking taylor expansion of U in K 28.592 * [backup-simplify]: Simplify U into U 28.592 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.592 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.592 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.592 * [taylor]: Taking taylor expansion of 1/2 in K 28.592 * [backup-simplify]: Simplify 1/2 into 1/2 28.592 * [taylor]: Taking taylor expansion of K in K 28.592 * [backup-simplify]: Simplify 0 into 0 28.592 * [backup-simplify]: Simplify 1 into 1 28.593 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.593 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.593 * [taylor]: Taking taylor expansion of J in K 28.593 * [backup-simplify]: Simplify J into J 28.593 * [backup-simplify]: Simplify (* 1 J) into J 28.593 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.593 * [backup-simplify]: Simplify (* 1 1) into 1 28.594 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.594 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.594 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 28.594 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 28.594 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 28.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.595 * [backup-simplify]: Simplify (+ 0) into 0 28.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.595 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.596 * [backup-simplify]: Simplify (+ 0) into 0 28.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.596 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.596 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 28.597 * [backup-simplify]: Simplify (+ 0 0) into 0 28.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 28.597 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 28.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 28.597 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 28.597 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.597 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 28.597 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.597 * [taylor]: Taking taylor expansion of 1 in J 28.597 * [backup-simplify]: Simplify 1 into 1 28.597 * [taylor]: Taking taylor expansion of 1 in J 28.597 * [backup-simplify]: Simplify 1 into 1 28.597 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.597 * [taylor]: Taking taylor expansion of 1/2 in J 28.598 * [backup-simplify]: Simplify 1/2 into 1/2 28.598 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.598 * [taylor]: Taking taylor expansion of U in J 28.598 * [backup-simplify]: Simplify U into U 28.598 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.598 * [taylor]: Taking taylor expansion of 1/2 in J 28.598 * [backup-simplify]: Simplify 1/2 into 1/2 28.598 * [taylor]: Taking taylor expansion of K in J 28.598 * [backup-simplify]: Simplify K into K 28.598 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.598 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.598 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.598 * [taylor]: Taking taylor expansion of J in J 28.598 * [backup-simplify]: Simplify 0 into 0 28.598 * [backup-simplify]: Simplify 1 into 1 28.598 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.598 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.600 * [backup-simplify]: Simplify (- 0) into 0 28.600 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.600 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.601 * [backup-simplify]: Simplify (+ 0) into 0 28.601 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.602 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.602 * [backup-simplify]: Simplify (- 0) into 0 28.603 * [backup-simplify]: Simplify (+ 0 0) into 0 28.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.603 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.603 * [taylor]: Taking taylor expansion of 1/2 in J 28.603 * [backup-simplify]: Simplify 1/2 into 1/2 28.603 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.603 * [taylor]: Taking taylor expansion of U in J 28.603 * [backup-simplify]: Simplify U into U 28.603 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.603 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.603 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.603 * [taylor]: Taking taylor expansion of 1/2 in J 28.603 * [backup-simplify]: Simplify 1/2 into 1/2 28.603 * [taylor]: Taking taylor expansion of K in J 28.603 * [backup-simplify]: Simplify K into K 28.603 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.603 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.603 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.603 * [taylor]: Taking taylor expansion of J in J 28.603 * [backup-simplify]: Simplify 0 into 0 28.603 * [backup-simplify]: Simplify 1 into 1 28.603 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.603 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.604 * [backup-simplify]: Simplify (- 0) into 0 28.604 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.604 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.604 * [backup-simplify]: Simplify (+ 0) into 0 28.604 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.605 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.606 * [backup-simplify]: Simplify (- 0) into 0 28.606 * [backup-simplify]: Simplify (+ 0 0) into 0 28.606 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.606 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.606 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.606 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.607 * [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))) 28.607 * [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))) 28.607 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.609 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.609 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.610 * [backup-simplify]: Simplify (- 0) into 0 28.610 * [backup-simplify]: Simplify (+ 0 0) into 0 28.610 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.610 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.611 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.612 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.613 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.613 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.613 * [backup-simplify]: Simplify (- 0) into 0 28.614 * [backup-simplify]: Simplify (+ 0 0) into 0 28.614 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.614 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.615 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 28.616 * [backup-simplify]: Simplify (+ 0 0) into 0 28.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 28.616 * [backup-simplify]: Simplify (sqrt 0) into 0 28.617 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 28.617 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.617 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.617 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.617 * [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 28.617 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.617 * [taylor]: Taking taylor expansion of 1 in U 28.617 * [backup-simplify]: Simplify 1 into 1 28.617 * [taylor]: Taking taylor expansion of 1 in U 28.617 * [backup-simplify]: Simplify 1 into 1 28.617 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.617 * [taylor]: Taking taylor expansion of 1/2 in U 28.617 * [backup-simplify]: Simplify 1/2 into 1/2 28.617 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.617 * [taylor]: Taking taylor expansion of U in U 28.617 * [backup-simplify]: Simplify 0 into 0 28.617 * [backup-simplify]: Simplify 1 into 1 28.617 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.618 * [taylor]: Taking taylor expansion of 1/2 in U 28.618 * [backup-simplify]: Simplify 1/2 into 1/2 28.618 * [taylor]: Taking taylor expansion of K in U 28.618 * [backup-simplify]: Simplify K into K 28.618 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.618 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.618 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.618 * [taylor]: Taking taylor expansion of J in U 28.618 * [backup-simplify]: Simplify J into J 28.618 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.618 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.618 * [backup-simplify]: Simplify (- 0) into 0 28.619 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.619 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.619 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.619 * [taylor]: Taking taylor expansion of 1/2 in U 28.619 * [backup-simplify]: Simplify 1/2 into 1/2 28.619 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.619 * [taylor]: Taking taylor expansion of U in U 28.619 * [backup-simplify]: Simplify 0 into 0 28.619 * [backup-simplify]: Simplify 1 into 1 28.619 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.619 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.619 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.619 * [taylor]: Taking taylor expansion of 1/2 in U 28.619 * [backup-simplify]: Simplify 1/2 into 1/2 28.619 * [taylor]: Taking taylor expansion of K in U 28.619 * [backup-simplify]: Simplify K into K 28.619 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.619 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.619 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.619 * [taylor]: Taking taylor expansion of J in U 28.619 * [backup-simplify]: Simplify J into J 28.619 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.620 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.620 * [backup-simplify]: Simplify (- 0) into 0 28.620 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.620 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.620 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.621 * [backup-simplify]: Simplify (* 1 1) into 1 28.621 * [backup-simplify]: Simplify (+ 1 0) into 1 28.621 * [backup-simplify]: Simplify (sqrt 1) into 1 28.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.622 * [backup-simplify]: Simplify (+ 0 0) into 0 28.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.624 * [backup-simplify]: Simplify (sqrt 1) into 1 28.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.625 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.625 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.625 * [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 28.625 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.625 * [taylor]: Taking taylor expansion of 1 in U 28.625 * [backup-simplify]: Simplify 1 into 1 28.625 * [taylor]: Taking taylor expansion of 1 in U 28.625 * [backup-simplify]: Simplify 1 into 1 28.625 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.625 * [taylor]: Taking taylor expansion of 1/2 in U 28.625 * [backup-simplify]: Simplify 1/2 into 1/2 28.625 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.625 * [taylor]: Taking taylor expansion of U in U 28.625 * [backup-simplify]: Simplify 0 into 0 28.625 * [backup-simplify]: Simplify 1 into 1 28.625 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.625 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.625 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.625 * [taylor]: Taking taylor expansion of 1/2 in U 28.625 * [backup-simplify]: Simplify 1/2 into 1/2 28.625 * [taylor]: Taking taylor expansion of K in U 28.625 * [backup-simplify]: Simplify K into K 28.625 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.625 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.625 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.626 * [taylor]: Taking taylor expansion of J in U 28.626 * [backup-simplify]: Simplify J into J 28.626 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.626 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.626 * [backup-simplify]: Simplify (- 0) into 0 28.626 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.626 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.626 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.626 * [taylor]: Taking taylor expansion of 1/2 in U 28.627 * [backup-simplify]: Simplify 1/2 into 1/2 28.627 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.627 * [taylor]: Taking taylor expansion of U in U 28.627 * [backup-simplify]: Simplify 0 into 0 28.627 * [backup-simplify]: Simplify 1 into 1 28.627 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.627 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.627 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.627 * [taylor]: Taking taylor expansion of 1/2 in U 28.627 * [backup-simplify]: Simplify 1/2 into 1/2 28.627 * [taylor]: Taking taylor expansion of K in U 28.627 * [backup-simplify]: Simplify K into K 28.627 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.627 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.627 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.627 * [taylor]: Taking taylor expansion of J in U 28.627 * [backup-simplify]: Simplify J into J 28.627 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.627 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.628 * [backup-simplify]: Simplify (- 0) into 0 28.628 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.628 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.628 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.628 * [backup-simplify]: Simplify (* 1 1) into 1 28.629 * [backup-simplify]: Simplify (+ 1 0) into 1 28.629 * [backup-simplify]: Simplify (sqrt 1) into 1 28.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.630 * [backup-simplify]: Simplify (+ 0 0) into 0 28.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.631 * [backup-simplify]: Simplify (sqrt 1) into 1 28.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.632 * [taylor]: Taking taylor expansion of 1 in J 28.632 * [backup-simplify]: Simplify 1 into 1 28.632 * [taylor]: Taking taylor expansion of 0 in J 28.632 * [backup-simplify]: Simplify 0 into 0 28.632 * [taylor]: Taking taylor expansion of 1 in K 28.632 * [backup-simplify]: Simplify 1 into 1 28.632 * [backup-simplify]: Simplify 1 into 1 28.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.634 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.634 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.634 * [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))) 28.634 * [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)))) 28.636 * [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))) 28.637 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 28.637 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 28.637 * [taylor]: Taking taylor expansion of 1/16 in J 28.637 * [backup-simplify]: Simplify 1/16 into 1/16 28.637 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 28.637 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 28.637 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.637 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.637 * [taylor]: Taking taylor expansion of 1/2 in J 28.637 * [backup-simplify]: Simplify 1/2 into 1/2 28.637 * [taylor]: Taking taylor expansion of K in J 28.637 * [backup-simplify]: Simplify K into K 28.637 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.638 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.638 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.638 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.638 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.638 * [backup-simplify]: Simplify (- 0) into 0 28.638 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.638 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.638 * [taylor]: Taking taylor expansion of J in J 28.638 * [backup-simplify]: Simplify 0 into 0 28.638 * [backup-simplify]: Simplify 1 into 1 28.639 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 28.639 * [backup-simplify]: Simplify (* 1 1) into 1 28.639 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 28.639 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 28.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.640 * [backup-simplify]: Simplify (+ 0) into 0 28.641 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.643 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.643 * [backup-simplify]: Simplify (- 0) into 0 28.644 * [backup-simplify]: Simplify (+ 0 0) into 0 28.644 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 28.644 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 28.645 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 28.645 * [taylor]: Taking taylor expansion of 0 in K 28.645 * [backup-simplify]: Simplify 0 into 0 28.645 * [backup-simplify]: Simplify 0 into 0 28.645 * [taylor]: Taking taylor expansion of 0 in K 28.645 * [backup-simplify]: Simplify 0 into 0 28.645 * [backup-simplify]: Simplify 0 into 0 28.645 * [taylor]: Taking taylor expansion of 0 in K 28.645 * [backup-simplify]: Simplify 0 into 0 28.645 * [backup-simplify]: Simplify 0 into 0 28.645 * [backup-simplify]: Simplify 0 into 0 28.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.647 * [backup-simplify]: Simplify (+ 0) into 0 28.647 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.649 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.649 * [backup-simplify]: Simplify (- 0) into 0 28.650 * [backup-simplify]: Simplify (+ 0 0) into 0 28.650 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.650 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.651 * [backup-simplify]: Simplify (+ 0) into 0 28.652 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.653 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.658 * [backup-simplify]: Simplify (- 0) into 0 28.659 * [backup-simplify]: Simplify (+ 0 0) into 0 28.660 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.660 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.661 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 28.661 * [backup-simplify]: Simplify (+ 0 0) into 0 28.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 28.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 28.663 * [taylor]: Taking taylor expansion of 0 in J 28.663 * [backup-simplify]: Simplify 0 into 0 28.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.665 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.667 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.668 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.668 * [backup-simplify]: Simplify (- 0) into 0 28.668 * [backup-simplify]: Simplify (+ 0 0) into 0 28.669 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 28.669 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 28.670 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 28.670 * [taylor]: Taking taylor expansion of 0 in K 28.670 * [backup-simplify]: Simplify 0 into 0 28.670 * [backup-simplify]: Simplify 0 into 0 28.670 * [taylor]: Taking taylor expansion of 0 in K 28.670 * [backup-simplify]: Simplify 0 into 0 28.670 * [backup-simplify]: Simplify 0 into 0 28.670 * [backup-simplify]: Simplify 1 into 1 28.670 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 28.670 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in (U J K) around 0 28.670 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 28.670 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.670 * [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 28.670 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.671 * [taylor]: Taking taylor expansion of 1 in K 28.671 * [backup-simplify]: Simplify 1 into 1 28.671 * [taylor]: Taking taylor expansion of 1 in K 28.671 * [backup-simplify]: Simplify 1 into 1 28.671 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.671 * [taylor]: Taking taylor expansion of 1/2 in K 28.671 * [backup-simplify]: Simplify 1/2 into 1/2 28.671 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.671 * [taylor]: Taking taylor expansion of J in K 28.671 * [backup-simplify]: Simplify J into J 28.671 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.671 * [taylor]: Taking taylor expansion of U in K 28.671 * [backup-simplify]: Simplify U into U 28.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.671 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.671 * [taylor]: Taking taylor expansion of 1/2 in K 28.671 * [backup-simplify]: Simplify 1/2 into 1/2 28.671 * [taylor]: Taking taylor expansion of K in K 28.671 * [backup-simplify]: Simplify 0 into 0 28.671 * [backup-simplify]: Simplify 1 into 1 28.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.671 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.671 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.671 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.671 * [taylor]: Taking taylor expansion of 1/2 in K 28.671 * [backup-simplify]: Simplify 1/2 into 1/2 28.671 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.671 * [taylor]: Taking taylor expansion of J in K 28.671 * [backup-simplify]: Simplify J into J 28.671 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.671 * [taylor]: Taking taylor expansion of U in K 28.671 * [backup-simplify]: Simplify U into U 28.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.671 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.671 * [taylor]: Taking taylor expansion of 1/2 in K 28.671 * [backup-simplify]: Simplify 1/2 into 1/2 28.671 * [taylor]: Taking taylor expansion of K in K 28.672 * [backup-simplify]: Simplify 0 into 0 28.672 * [backup-simplify]: Simplify 1 into 1 28.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.672 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.672 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.672 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.672 * [backup-simplify]: Simplify (* 1 1) into 1 28.672 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.672 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.673 * [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)))) 28.673 * [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) 28.673 * [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)) 28.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.673 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.674 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.674 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.674 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.675 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 28.675 * [backup-simplify]: Simplify (+ 0 0) into 0 28.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 28.675 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 28.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 28.676 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 28.676 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.676 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.676 * [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 28.676 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.676 * [taylor]: Taking taylor expansion of 1 in J 28.676 * [backup-simplify]: Simplify 1 into 1 28.676 * [taylor]: Taking taylor expansion of 1 in J 28.676 * [backup-simplify]: Simplify 1 into 1 28.676 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.676 * [taylor]: Taking taylor expansion of 1/2 in J 28.676 * [backup-simplify]: Simplify 1/2 into 1/2 28.676 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.676 * [taylor]: Taking taylor expansion of J in J 28.676 * [backup-simplify]: Simplify 0 into 0 28.676 * [backup-simplify]: Simplify 1 into 1 28.676 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.676 * [taylor]: Taking taylor expansion of U in J 28.676 * [backup-simplify]: Simplify U into U 28.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.676 * [taylor]: Taking taylor expansion of 1/2 in J 28.676 * [backup-simplify]: Simplify 1/2 into 1/2 28.676 * [taylor]: Taking taylor expansion of K in J 28.676 * [backup-simplify]: Simplify K into K 28.676 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.676 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.676 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.676 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.676 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.677 * [backup-simplify]: Simplify (- 0) into 0 28.677 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.677 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.677 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.677 * [taylor]: Taking taylor expansion of 1/2 in J 28.677 * [backup-simplify]: Simplify 1/2 into 1/2 28.677 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.677 * [taylor]: Taking taylor expansion of J in J 28.677 * [backup-simplify]: Simplify 0 into 0 28.677 * [backup-simplify]: Simplify 1 into 1 28.677 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.677 * [taylor]: Taking taylor expansion of U in J 28.677 * [backup-simplify]: Simplify U into U 28.677 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.677 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.677 * [taylor]: Taking taylor expansion of 1/2 in J 28.677 * [backup-simplify]: Simplify 1/2 into 1/2 28.677 * [taylor]: Taking taylor expansion of K in J 28.677 * [backup-simplify]: Simplify K into K 28.677 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.677 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.677 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.678 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.678 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.678 * [backup-simplify]: Simplify (- 0) into 0 28.678 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.678 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.678 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.678 * [backup-simplify]: Simplify (* 1 1) into 1 28.679 * [backup-simplify]: Simplify (+ 1 0) into 1 28.679 * [backup-simplify]: Simplify (sqrt 1) into 1 28.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.679 * [backup-simplify]: Simplify (+ 0 0) into 0 28.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.680 * [backup-simplify]: Simplify (sqrt 1) into 1 28.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.680 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.680 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.681 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.681 * [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 28.681 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.681 * [taylor]: Taking taylor expansion of 1 in U 28.681 * [backup-simplify]: Simplify 1 into 1 28.681 * [taylor]: Taking taylor expansion of 1 in U 28.681 * [backup-simplify]: Simplify 1 into 1 28.681 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.681 * [taylor]: Taking taylor expansion of 1/2 in U 28.681 * [backup-simplify]: Simplify 1/2 into 1/2 28.681 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.681 * [taylor]: Taking taylor expansion of J in U 28.681 * [backup-simplify]: Simplify J into J 28.681 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.681 * [taylor]: Taking taylor expansion of U in U 28.681 * [backup-simplify]: Simplify 0 into 0 28.681 * [backup-simplify]: Simplify 1 into 1 28.681 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.681 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.681 * [taylor]: Taking taylor expansion of 1/2 in U 28.681 * [backup-simplify]: Simplify 1/2 into 1/2 28.681 * [taylor]: Taking taylor expansion of K in U 28.681 * [backup-simplify]: Simplify K into K 28.681 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.681 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.681 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.681 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.681 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.681 * [backup-simplify]: Simplify (- 0) into 0 28.681 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.682 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.682 * [backup-simplify]: Simplify (+ 0) into 0 28.682 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.683 * [backup-simplify]: Simplify (- 0) into 0 28.683 * [backup-simplify]: Simplify (+ 0 0) into 0 28.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.684 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.684 * [taylor]: Taking taylor expansion of 1/2 in U 28.684 * [backup-simplify]: Simplify 1/2 into 1/2 28.684 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.684 * [taylor]: Taking taylor expansion of J in U 28.684 * [backup-simplify]: Simplify J into J 28.684 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.684 * [taylor]: Taking taylor expansion of U in U 28.684 * [backup-simplify]: Simplify 0 into 0 28.684 * [backup-simplify]: Simplify 1 into 1 28.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.684 * [taylor]: Taking taylor expansion of 1/2 in U 28.684 * [backup-simplify]: Simplify 1/2 into 1/2 28.684 * [taylor]: Taking taylor expansion of K in U 28.684 * [backup-simplify]: Simplify K into K 28.684 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.684 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.684 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.684 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.684 * [backup-simplify]: Simplify (- 0) into 0 28.684 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.685 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.685 * [backup-simplify]: Simplify (+ 0) into 0 28.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.686 * [backup-simplify]: Simplify (- 0) into 0 28.686 * [backup-simplify]: Simplify (+ 0 0) into 0 28.687 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.687 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.687 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.687 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.687 * [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))) 28.687 * [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))) 28.687 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.688 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.689 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.689 * [backup-simplify]: Simplify (- 0) into 0 28.690 * [backup-simplify]: Simplify (+ 0 0) into 0 28.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.690 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.691 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.693 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.693 * [backup-simplify]: Simplify (- 0) into 0 28.693 * [backup-simplify]: Simplify (+ 0 0) into 0 28.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.694 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.694 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.695 * [backup-simplify]: Simplify (+ 0 0) into 0 28.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.695 * [backup-simplify]: Simplify (sqrt 0) into 0 28.695 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 28.695 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.696 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.696 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.696 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.696 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.696 * [taylor]: Taking taylor expansion of 1 in U 28.696 * [backup-simplify]: Simplify 1 into 1 28.696 * [taylor]: Taking taylor expansion of 1 in U 28.696 * [backup-simplify]: Simplify 1 into 1 28.696 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.696 * [taylor]: Taking taylor expansion of 1/2 in U 28.696 * [backup-simplify]: Simplify 1/2 into 1/2 28.696 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.696 * [taylor]: Taking taylor expansion of J in U 28.696 * [backup-simplify]: Simplify J into J 28.696 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.696 * [taylor]: Taking taylor expansion of U in U 28.696 * [backup-simplify]: Simplify 0 into 0 28.696 * [backup-simplify]: Simplify 1 into 1 28.696 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.696 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.696 * [taylor]: Taking taylor expansion of 1/2 in U 28.696 * [backup-simplify]: Simplify 1/2 into 1/2 28.696 * [taylor]: Taking taylor expansion of K in U 28.696 * [backup-simplify]: Simplify K into K 28.696 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.696 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.696 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.696 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.696 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.696 * [backup-simplify]: Simplify (- 0) into 0 28.696 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.696 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.697 * [backup-simplify]: Simplify (+ 0) into 0 28.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.698 * [backup-simplify]: Simplify (- 0) into 0 28.698 * [backup-simplify]: Simplify (+ 0 0) into 0 28.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.699 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.699 * [taylor]: Taking taylor expansion of 1/2 in U 28.699 * [backup-simplify]: Simplify 1/2 into 1/2 28.699 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.699 * [taylor]: Taking taylor expansion of J in U 28.699 * [backup-simplify]: Simplify J into J 28.699 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.699 * [taylor]: Taking taylor expansion of U in U 28.699 * [backup-simplify]: Simplify 0 into 0 28.699 * [backup-simplify]: Simplify 1 into 1 28.699 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.699 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.699 * [taylor]: Taking taylor expansion of 1/2 in U 28.699 * [backup-simplify]: Simplify 1/2 into 1/2 28.699 * [taylor]: Taking taylor expansion of K in U 28.699 * [backup-simplify]: Simplify K into K 28.699 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.699 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.699 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.699 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.699 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.699 * [backup-simplify]: Simplify (- 0) into 0 28.699 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.699 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.700 * [backup-simplify]: Simplify (+ 0) into 0 28.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.701 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.701 * [backup-simplify]: Simplify (- 0) into 0 28.701 * [backup-simplify]: Simplify (+ 0 0) into 0 28.702 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.702 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.702 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.702 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.702 * [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))) 28.702 * [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))) 28.702 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.703 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.703 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.704 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.704 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.704 * [backup-simplify]: Simplify (- 0) into 0 28.705 * [backup-simplify]: Simplify (+ 0 0) into 0 28.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.707 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.708 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.709 * [backup-simplify]: Simplify (- 0) into 0 28.710 * [backup-simplify]: Simplify (+ 0 0) into 0 28.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.711 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.712 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.712 * [backup-simplify]: Simplify (+ 0 0) into 0 28.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.713 * [backup-simplify]: Simplify (sqrt 0) into 0 28.713 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 28.713 * [taylor]: Taking taylor expansion of 0 in J 28.713 * [backup-simplify]: Simplify 0 into 0 28.713 * [taylor]: Taking taylor expansion of 0 in K 28.713 * [backup-simplify]: Simplify 0 into 0 28.713 * [backup-simplify]: Simplify 0 into 0 28.714 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 28.714 * [taylor]: Taking taylor expansion of +nan.0 in J 28.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.714 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 28.714 * [taylor]: Taking taylor expansion of J in J 28.714 * [backup-simplify]: Simplify 0 into 0 28.714 * [backup-simplify]: Simplify 1 into 1 28.714 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.714 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.714 * [taylor]: Taking taylor expansion of 1/2 in J 28.714 * [backup-simplify]: Simplify 1/2 into 1/2 28.714 * [taylor]: Taking taylor expansion of K in J 28.714 * [backup-simplify]: Simplify K into K 28.714 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.714 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.714 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.714 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.714 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.715 * [backup-simplify]: Simplify (- 0) into 0 28.715 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.715 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 28.715 * [taylor]: Taking taylor expansion of 0 in K 28.715 * [backup-simplify]: Simplify 0 into 0 28.715 * [backup-simplify]: Simplify 0 into 0 28.715 * [backup-simplify]: Simplify 0 into 0 28.716 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 28.716 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 28.716 * [taylor]: Taking taylor expansion of +nan.0 in J 28.716 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.716 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 28.716 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.716 * [taylor]: Taking taylor expansion of J in J 28.716 * [backup-simplify]: Simplify 0 into 0 28.716 * [backup-simplify]: Simplify 1 into 1 28.716 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 28.716 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.716 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.716 * [taylor]: Taking taylor expansion of 1/2 in J 28.716 * [backup-simplify]: Simplify 1/2 into 1/2 28.716 * [taylor]: Taking taylor expansion of K in J 28.716 * [backup-simplify]: Simplify K into K 28.716 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.716 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.717 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.717 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.717 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.717 * [backup-simplify]: Simplify (- 0) into 0 28.717 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.718 * [backup-simplify]: Simplify (* 1 1) into 1 28.718 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 28.718 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 28.718 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) 28.718 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K 28.718 * [taylor]: Taking taylor expansion of +nan.0 in K 28.718 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.718 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.718 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.718 * [taylor]: Taking taylor expansion of 1/2 in K 28.718 * [backup-simplify]: Simplify 1/2 into 1/2 28.718 * [taylor]: Taking taylor expansion of K in K 28.718 * [backup-simplify]: Simplify 0 into 0 28.718 * [backup-simplify]: Simplify 1 into 1 28.719 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.719 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.719 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 28.719 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 28.719 * [taylor]: Taking taylor expansion of 0 in K 28.719 * [backup-simplify]: Simplify 0 into 0 28.719 * [backup-simplify]: Simplify 0 into 0 28.719 * [backup-simplify]: Simplify 0 into 0 28.719 * [backup-simplify]: Simplify 0 into 0 28.720 * [backup-simplify]: Simplify (* 1 1) into 1 28.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.724 * [backup-simplify]: Simplify (- 0) into 0 28.724 * [backup-simplify]: Simplify (+ 0 0) into 0 28.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.726 * [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 28.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.728 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.729 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.732 * [backup-simplify]: Simplify (- 0) into 0 28.732 * [backup-simplify]: Simplify (+ 0 0) into 0 28.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.734 * [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 28.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.735 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 28.735 * [backup-simplify]: Simplify (+ 1 0) into 1 28.736 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 28.736 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 28.736 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J 28.736 * [taylor]: Taking taylor expansion of +nan.0 in J 28.736 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.736 * [taylor]: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in J 28.736 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 28.736 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.736 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.736 * [taylor]: Taking taylor expansion of 1/2 in J 28.736 * [backup-simplify]: Simplify 1/2 into 1/2 28.736 * [taylor]: Taking taylor expansion of K in J 28.736 * [backup-simplify]: Simplify K into K 28.736 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.736 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.736 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.737 * [taylor]: Taking taylor expansion of J in J 28.737 * [backup-simplify]: Simplify 0 into 0 28.737 * [backup-simplify]: Simplify 1 into 1 28.737 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.737 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.737 * [backup-simplify]: Simplify (- 0) into 0 28.737 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.737 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.737 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J 28.737 * [taylor]: Taking taylor expansion of +nan.0 in J 28.737 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.737 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J 28.737 * [taylor]: Taking taylor expansion of (pow J 3) in J 28.737 * [taylor]: Taking taylor expansion of J in J 28.737 * [backup-simplify]: Simplify 0 into 0 28.737 * [backup-simplify]: Simplify 1 into 1 28.737 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J 28.737 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.737 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.737 * [taylor]: Taking taylor expansion of 1/2 in J 28.737 * [backup-simplify]: Simplify 1/2 into 1/2 28.737 * [taylor]: Taking taylor expansion of K in J 28.737 * [backup-simplify]: Simplify K into K 28.737 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.737 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.737 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.737 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.737 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.738 * [backup-simplify]: Simplify (- 0) into 0 28.738 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.738 * [backup-simplify]: Simplify (* 1 1) into 1 28.738 * [backup-simplify]: Simplify (* 1 1) into 1 28.738 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 28.738 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3) 28.739 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) 28.739 * [backup-simplify]: Simplify (+ 0) into 0 28.739 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.739 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.740 * [backup-simplify]: Simplify (- 0) into 0 28.740 * [backup-simplify]: Simplify (+ 0 0) into 0 28.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 28.741 * [backup-simplify]: Simplify (+ 0 0) into 0 28.741 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.741 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ 1/2 K)))) into 0 28.742 * [taylor]: Taking taylor expansion of 0 in K 28.742 * [backup-simplify]: Simplify 0 into 0 28.742 * [backup-simplify]: Simplify 0 into 0 28.742 * [backup-simplify]: Simplify (+ 0) into 0 28.742 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.742 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.743 * [backup-simplify]: Simplify (- 0) into 0 28.744 * [backup-simplify]: Simplify (+ 0 0) into 0 28.744 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.744 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 28.744 * [taylor]: Taking taylor expansion of 0 in K 28.744 * [backup-simplify]: Simplify 0 into 0 28.744 * [backup-simplify]: Simplify 0 into 0 28.744 * [taylor]: Taking taylor expansion of 0 in K 28.744 * [backup-simplify]: Simplify 0 into 0 28.744 * [backup-simplify]: Simplify 0 into 0 28.744 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 28.745 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 28.745 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 28.745 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 28.745 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 28.745 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.745 * [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 28.745 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.745 * [taylor]: Taking taylor expansion of 1 in K 28.745 * [backup-simplify]: Simplify 1 into 1 28.745 * [taylor]: Taking taylor expansion of 1 in K 28.745 * [backup-simplify]: Simplify 1 into 1 28.745 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 28.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 28.745 * [taylor]: Taking taylor expansion of 1/2 in K 28.745 * [backup-simplify]: Simplify 1/2 into 1/2 28.745 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 28.745 * [taylor]: Taking taylor expansion of J in K 28.745 * [backup-simplify]: Simplify J into J 28.745 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 28.745 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.745 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.745 * [taylor]: Taking taylor expansion of -1/2 in K 28.745 * [backup-simplify]: Simplify -1/2 into -1/2 28.745 * [taylor]: Taking taylor expansion of K in K 28.745 * [backup-simplify]: Simplify 0 into 0 28.745 * [backup-simplify]: Simplify 1 into 1 28.745 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.745 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.745 * [taylor]: Taking taylor expansion of U in K 28.745 * [backup-simplify]: Simplify U into U 28.745 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.745 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 28.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 28.745 * [taylor]: Taking taylor expansion of 1/2 in K 28.746 * [backup-simplify]: Simplify 1/2 into 1/2 28.746 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 28.746 * [taylor]: Taking taylor expansion of J in K 28.746 * [backup-simplify]: Simplify J into J 28.746 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 28.746 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.746 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.746 * [taylor]: Taking taylor expansion of -1/2 in K 28.746 * [backup-simplify]: Simplify -1/2 into -1/2 28.746 * [taylor]: Taking taylor expansion of K in K 28.746 * [backup-simplify]: Simplify 0 into 0 28.746 * [backup-simplify]: Simplify 1 into 1 28.746 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.746 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.746 * [taylor]: Taking taylor expansion of U in K 28.746 * [backup-simplify]: Simplify U into U 28.746 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.746 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 28.746 * [backup-simplify]: Simplify (* 1 1) into 1 28.747 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 28.747 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 28.747 * [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)))) 28.747 * [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))))) 28.747 * [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)))))) 28.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 28.748 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 28.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 28.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 28.749 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 28.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 28.749 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 28.749 * [backup-simplify]: Simplify (+ 0 0) into 0 28.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 28.750 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 28.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 28.750 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 28.750 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 28.750 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.750 * [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 28.750 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.750 * [taylor]: Taking taylor expansion of 1 in J 28.750 * [backup-simplify]: Simplify 1 into 1 28.750 * [taylor]: Taking taylor expansion of 1 in J 28.750 * [backup-simplify]: Simplify 1 into 1 28.750 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 28.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 28.750 * [taylor]: Taking taylor expansion of 1/2 in J 28.750 * [backup-simplify]: Simplify 1/2 into 1/2 28.750 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 28.750 * [taylor]: Taking taylor expansion of J in J 28.750 * [backup-simplify]: Simplify 0 into 0 28.750 * [backup-simplify]: Simplify 1 into 1 28.750 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 28.750 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.750 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.750 * [taylor]: Taking taylor expansion of -1/2 in J 28.750 * [backup-simplify]: Simplify -1/2 into -1/2 28.750 * [taylor]: Taking taylor expansion of K in J 28.750 * [backup-simplify]: Simplify K into K 28.750 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.751 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.751 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.751 * [taylor]: Taking taylor expansion of U in J 28.751 * [backup-simplify]: Simplify U into U 28.751 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.751 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.751 * [backup-simplify]: Simplify (- 0) into 0 28.751 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.751 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.751 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 28.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 28.751 * [taylor]: Taking taylor expansion of 1/2 in J 28.751 * [backup-simplify]: Simplify 1/2 into 1/2 28.751 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 28.751 * [taylor]: Taking taylor expansion of J in J 28.751 * [backup-simplify]: Simplify 0 into 0 28.751 * [backup-simplify]: Simplify 1 into 1 28.751 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 28.751 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.751 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.751 * [taylor]: Taking taylor expansion of -1/2 in J 28.751 * [backup-simplify]: Simplify -1/2 into -1/2 28.751 * [taylor]: Taking taylor expansion of K in J 28.751 * [backup-simplify]: Simplify K into K 28.751 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.751 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.751 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.751 * [taylor]: Taking taylor expansion of U in J 28.752 * [backup-simplify]: Simplify U into U 28.752 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.752 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.752 * [backup-simplify]: Simplify (- 0) into 0 28.752 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.752 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.752 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 28.752 * [backup-simplify]: Simplify (* 1 1) into 1 28.753 * [backup-simplify]: Simplify (+ 1 0) into 1 28.753 * [backup-simplify]: Simplify (sqrt 1) into 1 28.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.753 * [backup-simplify]: Simplify (+ 0 0) into 0 28.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.754 * [backup-simplify]: Simplify (sqrt 1) into 1 28.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.755 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 28.755 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.755 * [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 28.755 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.755 * [taylor]: Taking taylor expansion of 1 in U 28.755 * [backup-simplify]: Simplify 1 into 1 28.755 * [taylor]: Taking taylor expansion of 1 in U 28.755 * [backup-simplify]: Simplify 1 into 1 28.755 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.755 * [taylor]: Taking taylor expansion of 1/2 in U 28.755 * [backup-simplify]: Simplify 1/2 into 1/2 28.755 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.755 * [taylor]: Taking taylor expansion of J in U 28.755 * [backup-simplify]: Simplify J into J 28.755 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.755 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.755 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.755 * [taylor]: Taking taylor expansion of -1/2 in U 28.755 * [backup-simplify]: Simplify -1/2 into -1/2 28.755 * [taylor]: Taking taylor expansion of K in U 28.755 * [backup-simplify]: Simplify K into K 28.755 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.755 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.755 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.755 * [taylor]: Taking taylor expansion of U in U 28.755 * [backup-simplify]: Simplify 0 into 0 28.755 * [backup-simplify]: Simplify 1 into 1 28.755 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.755 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.756 * [backup-simplify]: Simplify (- 0) into 0 28.756 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.756 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.756 * [backup-simplify]: Simplify (+ 0) into 0 28.756 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.756 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.757 * [backup-simplify]: Simplify (- 0) into 0 28.757 * [backup-simplify]: Simplify (+ 0 0) into 0 28.758 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.758 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.758 * [taylor]: Taking taylor expansion of 1/2 in U 28.758 * [backup-simplify]: Simplify 1/2 into 1/2 28.758 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.758 * [taylor]: Taking taylor expansion of J in U 28.758 * [backup-simplify]: Simplify J into J 28.758 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.758 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.758 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.758 * [taylor]: Taking taylor expansion of -1/2 in U 28.758 * [backup-simplify]: Simplify -1/2 into -1/2 28.758 * [taylor]: Taking taylor expansion of K in U 28.758 * [backup-simplify]: Simplify K into K 28.758 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.758 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.758 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.758 * [taylor]: Taking taylor expansion of U in U 28.758 * [backup-simplify]: Simplify 0 into 0 28.758 * [backup-simplify]: Simplify 1 into 1 28.758 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.758 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.759 * [backup-simplify]: Simplify (- 0) into 0 28.759 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.759 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.759 * [backup-simplify]: Simplify (+ 0) into 0 28.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.759 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.760 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.760 * [backup-simplify]: Simplify (- 0) into 0 28.761 * [backup-simplify]: Simplify (+ 0 0) into 0 28.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.761 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.761 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.761 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.761 * [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))) 28.761 * [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))) 28.762 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.762 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.762 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.763 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.763 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.767 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.768 * [backup-simplify]: Simplify (- 0) into 0 28.768 * [backup-simplify]: Simplify (+ 0 0) into 0 28.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.769 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.771 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.771 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.772 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.773 * [backup-simplify]: Simplify (- 0) into 0 28.774 * [backup-simplify]: Simplify (+ 0 0) into 0 28.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.775 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.775 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 28.776 * [backup-simplify]: Simplify (+ 0 0) into 0 28.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 28.777 * [backup-simplify]: Simplify (sqrt 0) into 0 28.777 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 28.777 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 28.777 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.777 * [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 28.777 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.778 * [taylor]: Taking taylor expansion of 1 in U 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [taylor]: Taking taylor expansion of 1 in U 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.778 * [taylor]: Taking taylor expansion of 1/2 in U 28.778 * [backup-simplify]: Simplify 1/2 into 1/2 28.778 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.778 * [taylor]: Taking taylor expansion of J in U 28.778 * [backup-simplify]: Simplify J into J 28.778 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.778 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.778 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.778 * [taylor]: Taking taylor expansion of -1/2 in U 28.778 * [backup-simplify]: Simplify -1/2 into -1/2 28.778 * [taylor]: Taking taylor expansion of K in U 28.778 * [backup-simplify]: Simplify K into K 28.778 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.778 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.778 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.778 * [taylor]: Taking taylor expansion of U in U 28.778 * [backup-simplify]: Simplify 0 into 0 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.779 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.779 * [backup-simplify]: Simplify (- 0) into 0 28.779 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.779 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.780 * [backup-simplify]: Simplify (+ 0) into 0 28.780 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.781 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.782 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.782 * [backup-simplify]: Simplify (- 0) into 0 28.782 * [backup-simplify]: Simplify (+ 0 0) into 0 28.783 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.783 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.783 * [taylor]: Taking taylor expansion of 1/2 in U 28.783 * [backup-simplify]: Simplify 1/2 into 1/2 28.783 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.783 * [taylor]: Taking taylor expansion of J in U 28.783 * [backup-simplify]: Simplify J into J 28.783 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.783 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.783 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.783 * [taylor]: Taking taylor expansion of -1/2 in U 28.783 * [backup-simplify]: Simplify -1/2 into -1/2 28.783 * [taylor]: Taking taylor expansion of K in U 28.783 * [backup-simplify]: Simplify K into K 28.783 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.783 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.784 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.784 * [taylor]: Taking taylor expansion of U in U 28.784 * [backup-simplify]: Simplify 0 into 0 28.784 * [backup-simplify]: Simplify 1 into 1 28.784 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.784 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.784 * [backup-simplify]: Simplify (- 0) into 0 28.784 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.784 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.785 * [backup-simplify]: Simplify (+ 0) into 0 28.785 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.785 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.787 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.787 * [backup-simplify]: Simplify (- 0) into 0 28.787 * [backup-simplify]: Simplify (+ 0 0) into 0 28.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.788 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.788 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.788 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.788 * [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))) 28.789 * [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))) 28.789 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 28.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.790 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.791 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.791 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.792 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.793 * [backup-simplify]: Simplify (- 0) into 0 28.793 * [backup-simplify]: Simplify (+ 0 0) into 0 28.794 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.794 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.795 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.796 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.797 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.798 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.798 * [backup-simplify]: Simplify (- 0) into 0 28.798 * [backup-simplify]: Simplify (+ 0 0) into 0 28.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.799 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 28.800 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 28.800 * [backup-simplify]: Simplify (+ 0 0) into 0 28.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 28.801 * [backup-simplify]: Simplify (sqrt 0) into 0 28.802 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 28.802 * [taylor]: Taking taylor expansion of 0 in J 28.802 * [backup-simplify]: Simplify 0 into 0 28.802 * [taylor]: Taking taylor expansion of 0 in K 28.802 * [backup-simplify]: Simplify 0 into 0 28.802 * [backup-simplify]: Simplify 0 into 0 28.802 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 28.802 * [taylor]: Taking taylor expansion of +nan.0 in J 28.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.802 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 28.802 * [taylor]: Taking taylor expansion of J in J 28.802 * [backup-simplify]: Simplify 0 into 0 28.802 * [backup-simplify]: Simplify 1 into 1 28.802 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.802 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.802 * [taylor]: Taking taylor expansion of -1/2 in J 28.802 * [backup-simplify]: Simplify -1/2 into -1/2 28.802 * [taylor]: Taking taylor expansion of K in J 28.802 * [backup-simplify]: Simplify K into K 28.802 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.803 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.803 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.803 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.803 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.803 * [backup-simplify]: Simplify (- 0) into 0 28.803 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.803 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 28.803 * [taylor]: Taking taylor expansion of 0 in K 28.803 * [backup-simplify]: Simplify 0 into 0 28.803 * [backup-simplify]: Simplify 0 into 0 28.804 * [backup-simplify]: Simplify 0 into 0 28.805 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 28.805 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 28.805 * [taylor]: Taking taylor expansion of +nan.0 in J 28.805 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 28.805 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.805 * [taylor]: Taking taylor expansion of J in J 28.805 * [backup-simplify]: Simplify 0 into 0 28.805 * [backup-simplify]: Simplify 1 into 1 28.805 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 28.805 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.805 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.805 * [taylor]: Taking taylor expansion of -1/2 in J 28.805 * [backup-simplify]: Simplify -1/2 into -1/2 28.805 * [taylor]: Taking taylor expansion of K in J 28.805 * [backup-simplify]: Simplify K into K 28.805 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.805 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.805 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.805 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.805 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.806 * [backup-simplify]: Simplify (- 0) into 0 28.806 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.806 * [backup-simplify]: Simplify (* 1 1) into 1 28.807 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 28.807 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 28.807 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) 28.807 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K 28.807 * [taylor]: Taking taylor expansion of +nan.0 in K 28.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.807 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.807 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.807 * [taylor]: Taking taylor expansion of -1/2 in K 28.807 * [backup-simplify]: Simplify -1/2 into -1/2 28.807 * [taylor]: Taking taylor expansion of K in K 28.807 * [backup-simplify]: Simplify 0 into 0 28.807 * [backup-simplify]: Simplify 1 into 1 28.808 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.808 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.808 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 28.808 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 28.808 * [taylor]: Taking taylor expansion of 0 in K 28.808 * [backup-simplify]: Simplify 0 into 0 28.808 * [backup-simplify]: Simplify 0 into 0 28.808 * [backup-simplify]: Simplify 0 into 0 28.809 * [backup-simplify]: Simplify 0 into 0 28.809 * [backup-simplify]: Simplify (* 1 1) into 1 28.810 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.813 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.814 * [backup-simplify]: Simplify (- 0) into 0 28.814 * [backup-simplify]: Simplify (+ 0 0) into 0 28.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 28.815 * [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 28.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 28.817 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.818 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.818 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.821 * [backup-simplify]: Simplify (- 0) into 0 28.821 * [backup-simplify]: Simplify (+ 0 0) into 0 28.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 28.823 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 28.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 28.824 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 28.825 * [backup-simplify]: Simplify (+ 1 0) into 1 28.826 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 28.827 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 28.827 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J 28.827 * [taylor]: Taking taylor expansion of +nan.0 in J 28.827 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.827 * [taylor]: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in J 28.827 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 28.827 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.827 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.827 * [taylor]: Taking taylor expansion of -1/2 in J 28.827 * [backup-simplify]: Simplify -1/2 into -1/2 28.827 * [taylor]: Taking taylor expansion of K in J 28.827 * [backup-simplify]: Simplify K into K 28.827 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.827 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.827 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.827 * [taylor]: Taking taylor expansion of J in J 28.827 * [backup-simplify]: Simplify 0 into 0 28.828 * [backup-simplify]: Simplify 1 into 1 28.828 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.828 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.828 * [backup-simplify]: Simplify (- 0) into 0 28.828 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.828 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.828 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J 28.828 * [taylor]: Taking taylor expansion of +nan.0 in J 28.828 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.828 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J 28.828 * [taylor]: Taking taylor expansion of (pow J 3) in J 28.829 * [taylor]: Taking taylor expansion of J in J 28.829 * [backup-simplify]: Simplify 0 into 0 28.829 * [backup-simplify]: Simplify 1 into 1 28.829 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J 28.829 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.829 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.829 * [taylor]: Taking taylor expansion of -1/2 in J 28.829 * [backup-simplify]: Simplify -1/2 into -1/2 28.829 * [taylor]: Taking taylor expansion of K in J 28.829 * [backup-simplify]: Simplify K into K 28.829 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.829 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.829 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.829 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.829 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.830 * [backup-simplify]: Simplify (- 0) into 0 28.830 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.830 * [backup-simplify]: Simplify (* 1 1) into 1 28.830 * [backup-simplify]: Simplify (* 1 1) into 1 28.831 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 28.831 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3) 28.831 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) 28.831 * [backup-simplify]: Simplify (+ 0) into 0 28.832 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.832 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.834 * [backup-simplify]: Simplify (- 0) into 0 28.834 * [backup-simplify]: Simplify (+ 0 0) into 0 28.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 28.835 * [backup-simplify]: Simplify (+ 0 0) into 0 28.835 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.836 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ -1/2 K)))) into 0 28.836 * [taylor]: Taking taylor expansion of 0 in K 28.836 * [backup-simplify]: Simplify 0 into 0 28.836 * [backup-simplify]: Simplify 0 into 0 28.836 * [backup-simplify]: Simplify (+ 0) into 0 28.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.837 * [backup-simplify]: Simplify (- 0) into 0 28.838 * [backup-simplify]: Simplify (+ 0 0) into 0 28.838 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 28.838 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 28.838 * [taylor]: Taking taylor expansion of 0 in K 28.838 * [backup-simplify]: Simplify 0 into 0 28.838 * [backup-simplify]: Simplify 0 into 0 28.838 * [taylor]: Taking taylor expansion of 0 in K 28.838 * [backup-simplify]: Simplify 0 into 0 28.838 * [backup-simplify]: Simplify 0 into 0 28.838 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 28.838 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 28.839 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 28.839 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 28.839 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 28.839 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.839 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.839 * [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 28.839 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.839 * [taylor]: Taking taylor expansion of 1 in K 28.839 * [backup-simplify]: Simplify 1 into 1 28.839 * [taylor]: Taking taylor expansion of 1 in K 28.839 * [backup-simplify]: Simplify 1 into 1 28.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 28.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.839 * [taylor]: Taking taylor expansion of 1/2 in K 28.839 * [backup-simplify]: Simplify 1/2 into 1/2 28.839 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.839 * [taylor]: Taking taylor expansion of U in K 28.839 * [backup-simplify]: Simplify U into U 28.839 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.839 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.839 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.839 * [taylor]: Taking taylor expansion of 1/2 in K 28.839 * [backup-simplify]: Simplify 1/2 into 1/2 28.839 * [taylor]: Taking taylor expansion of K in K 28.839 * [backup-simplify]: Simplify 0 into 0 28.839 * [backup-simplify]: Simplify 1 into 1 28.839 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.840 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.840 * [taylor]: Taking taylor expansion of J in K 28.840 * [backup-simplify]: Simplify J into J 28.840 * [backup-simplify]: Simplify (* 1 J) into J 28.840 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 28.840 * [taylor]: Taking taylor expansion of 1/2 in K 28.840 * [backup-simplify]: Simplify 1/2 into 1/2 28.840 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 28.840 * [taylor]: Taking taylor expansion of U in K 28.840 * [backup-simplify]: Simplify U into U 28.840 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 28.840 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 28.840 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 28.840 * [taylor]: Taking taylor expansion of 1/2 in K 28.840 * [backup-simplify]: Simplify 1/2 into 1/2 28.840 * [taylor]: Taking taylor expansion of K in K 28.840 * [backup-simplify]: Simplify 0 into 0 28.840 * [backup-simplify]: Simplify 1 into 1 28.840 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.841 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 28.841 * [taylor]: Taking taylor expansion of J in K 28.841 * [backup-simplify]: Simplify J into J 28.841 * [backup-simplify]: Simplify (* 1 J) into J 28.841 * [backup-simplify]: Simplify (/ U J) into (/ U J) 28.841 * [backup-simplify]: Simplify (* 1 1) into 1 28.841 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.841 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 28.841 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 28.841 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 28.842 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 28.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.842 * [backup-simplify]: Simplify (+ 0) into 0 28.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.843 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.843 * [backup-simplify]: Simplify (+ 0) into 0 28.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 28.844 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 28.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 28.844 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 28.844 * [backup-simplify]: Simplify (+ 0 0) into 0 28.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 28.845 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 28.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 28.845 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 28.845 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.845 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.845 * [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 28.845 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.845 * [taylor]: Taking taylor expansion of 1 in J 28.845 * [backup-simplify]: Simplify 1 into 1 28.845 * [taylor]: Taking taylor expansion of 1 in J 28.845 * [backup-simplify]: Simplify 1 into 1 28.845 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 28.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.845 * [taylor]: Taking taylor expansion of 1/2 in J 28.845 * [backup-simplify]: Simplify 1/2 into 1/2 28.845 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.845 * [taylor]: Taking taylor expansion of U in J 28.845 * [backup-simplify]: Simplify U into U 28.845 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.845 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.845 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.845 * [taylor]: Taking taylor expansion of 1/2 in J 28.845 * [backup-simplify]: Simplify 1/2 into 1/2 28.845 * [taylor]: Taking taylor expansion of K in J 28.845 * [backup-simplify]: Simplify K into K 28.845 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.845 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.845 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.845 * [taylor]: Taking taylor expansion of J in J 28.845 * [backup-simplify]: Simplify 0 into 0 28.845 * [backup-simplify]: Simplify 1 into 1 28.845 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.845 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.846 * [backup-simplify]: Simplify (- 0) into 0 28.846 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.846 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.846 * [backup-simplify]: Simplify (+ 0) into 0 28.846 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.847 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.848 * [backup-simplify]: Simplify (- 0) into 0 28.848 * [backup-simplify]: Simplify (+ 0 0) into 0 28.848 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.848 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 28.848 * [taylor]: Taking taylor expansion of 1/2 in J 28.848 * [backup-simplify]: Simplify 1/2 into 1/2 28.848 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 28.848 * [taylor]: Taking taylor expansion of U in J 28.848 * [backup-simplify]: Simplify U into U 28.848 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 28.848 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.848 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.848 * [taylor]: Taking taylor expansion of 1/2 in J 28.848 * [backup-simplify]: Simplify 1/2 into 1/2 28.848 * [taylor]: Taking taylor expansion of K in J 28.848 * [backup-simplify]: Simplify K into K 28.848 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.848 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.849 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.849 * [taylor]: Taking taylor expansion of J in J 28.849 * [backup-simplify]: Simplify 0 into 0 28.849 * [backup-simplify]: Simplify 1 into 1 28.849 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.849 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.849 * [backup-simplify]: Simplify (- 0) into 0 28.849 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.849 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 28.849 * [backup-simplify]: Simplify (+ 0) into 0 28.850 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.851 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.851 * [backup-simplify]: Simplify (- 0) into 0 28.851 * [backup-simplify]: Simplify (+ 0 0) into 0 28.851 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 28.851 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 28.852 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.852 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.852 * [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))) 28.852 * [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))) 28.852 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 28.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.853 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.854 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.855 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.855 * [backup-simplify]: Simplify (- 0) into 0 28.856 * [backup-simplify]: Simplify (+ 0 0) into 0 28.856 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.857 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.859 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.861 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.861 * [backup-simplify]: Simplify (- 0) into 0 28.861 * [backup-simplify]: Simplify (+ 0 0) into 0 28.862 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 28.862 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 28.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 28.863 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 28.864 * [backup-simplify]: Simplify (+ 0 0) into 0 28.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 28.864 * [backup-simplify]: Simplify (sqrt 0) into 0 28.865 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 28.865 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.865 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.865 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.865 * [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 28.865 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.865 * [taylor]: Taking taylor expansion of 1 in U 28.865 * [backup-simplify]: Simplify 1 into 1 28.865 * [taylor]: Taking taylor expansion of 1 in U 28.865 * [backup-simplify]: Simplify 1 into 1 28.865 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.865 * [taylor]: Taking taylor expansion of 1/2 in U 28.865 * [backup-simplify]: Simplify 1/2 into 1/2 28.865 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.865 * [taylor]: Taking taylor expansion of U in U 28.865 * [backup-simplify]: Simplify 0 into 0 28.866 * [backup-simplify]: Simplify 1 into 1 28.866 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.866 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.866 * [taylor]: Taking taylor expansion of 1/2 in U 28.866 * [backup-simplify]: Simplify 1/2 into 1/2 28.866 * [taylor]: Taking taylor expansion of K in U 28.866 * [backup-simplify]: Simplify K into K 28.866 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.866 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.866 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.866 * [taylor]: Taking taylor expansion of J in U 28.866 * [backup-simplify]: Simplify J into J 28.866 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.866 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.867 * [backup-simplify]: Simplify (- 0) into 0 28.867 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.867 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.867 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.867 * [taylor]: Taking taylor expansion of 1/2 in U 28.867 * [backup-simplify]: Simplify 1/2 into 1/2 28.867 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.867 * [taylor]: Taking taylor expansion of U in U 28.867 * [backup-simplify]: Simplify 0 into 0 28.867 * [backup-simplify]: Simplify 1 into 1 28.867 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.867 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.867 * [taylor]: Taking taylor expansion of 1/2 in U 28.867 * [backup-simplify]: Simplify 1/2 into 1/2 28.867 * [taylor]: Taking taylor expansion of K in U 28.867 * [backup-simplify]: Simplify K into K 28.867 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.867 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.867 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.867 * [taylor]: Taking taylor expansion of J in U 28.868 * [backup-simplify]: Simplify J into J 28.868 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.868 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.868 * [backup-simplify]: Simplify (- 0) into 0 28.868 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.868 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.868 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.869 * [backup-simplify]: Simplify (* 1 1) into 1 28.869 * [backup-simplify]: Simplify (+ 1 0) into 1 28.870 * [backup-simplify]: Simplify (sqrt 1) into 1 28.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.871 * [backup-simplify]: Simplify (+ 0 0) into 0 28.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.872 * [backup-simplify]: Simplify (sqrt 1) into 1 28.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.872 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 28.873 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.873 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 28.873 * [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 28.873 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.873 * [taylor]: Taking taylor expansion of 1 in U 28.873 * [backup-simplify]: Simplify 1 into 1 28.873 * [taylor]: Taking taylor expansion of 1 in U 28.873 * [backup-simplify]: Simplify 1 into 1 28.873 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 28.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.873 * [taylor]: Taking taylor expansion of 1/2 in U 28.873 * [backup-simplify]: Simplify 1/2 into 1/2 28.873 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.873 * [taylor]: Taking taylor expansion of U in U 28.873 * [backup-simplify]: Simplify 0 into 0 28.873 * [backup-simplify]: Simplify 1 into 1 28.873 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.873 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.873 * [taylor]: Taking taylor expansion of 1/2 in U 28.873 * [backup-simplify]: Simplify 1/2 into 1/2 28.873 * [taylor]: Taking taylor expansion of K in U 28.873 * [backup-simplify]: Simplify K into K 28.873 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.873 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.873 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.873 * [taylor]: Taking taylor expansion of J in U 28.873 * [backup-simplify]: Simplify J into J 28.874 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.874 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.874 * [backup-simplify]: Simplify (- 0) into 0 28.874 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.874 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.874 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 28.874 * [taylor]: Taking taylor expansion of 1/2 in U 28.874 * [backup-simplify]: Simplify 1/2 into 1/2 28.874 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 28.874 * [taylor]: Taking taylor expansion of U in U 28.874 * [backup-simplify]: Simplify 0 into 0 28.874 * [backup-simplify]: Simplify 1 into 1 28.874 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 28.874 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 28.874 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 28.874 * [taylor]: Taking taylor expansion of 1/2 in U 28.874 * [backup-simplify]: Simplify 1/2 into 1/2 28.874 * [taylor]: Taking taylor expansion of K in U 28.874 * [backup-simplify]: Simplify K into K 28.875 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.875 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.875 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.875 * [taylor]: Taking taylor expansion of J in U 28.875 * [backup-simplify]: Simplify J into J 28.875 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.875 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.875 * [backup-simplify]: Simplify (- 0) into 0 28.875 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.875 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 28.875 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 28.875 * [backup-simplify]: Simplify (* 1 1) into 1 28.876 * [backup-simplify]: Simplify (+ 1 0) into 1 28.876 * [backup-simplify]: Simplify (sqrt 1) into 1 28.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.877 * [backup-simplify]: Simplify (+ 0 0) into 0 28.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.877 * [backup-simplify]: Simplify (sqrt 1) into 1 28.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.878 * [taylor]: Taking taylor expansion of 1 in J 28.878 * [backup-simplify]: Simplify 1 into 1 28.878 * [taylor]: Taking taylor expansion of 0 in J 28.878 * [backup-simplify]: Simplify 0 into 0 28.878 * [taylor]: Taking taylor expansion of 1 in K 28.878 * [backup-simplify]: Simplify 1 into 1 28.878 * [backup-simplify]: Simplify 1 into 1 28.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.879 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.879 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 28.879 * [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))) 28.879 * [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)))) 28.880 * [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))) 28.881 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 28.881 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 28.881 * [taylor]: Taking taylor expansion of 1/16 in J 28.881 * [backup-simplify]: Simplify 1/16 into 1/16 28.881 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 28.881 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 28.881 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 28.881 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 28.881 * [taylor]: Taking taylor expansion of 1/2 in J 28.881 * [backup-simplify]: Simplify 1/2 into 1/2 28.881 * [taylor]: Taking taylor expansion of K in J 28.881 * [backup-simplify]: Simplify K into K 28.881 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 28.881 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 28.881 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 28.881 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 28.881 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 28.881 * [backup-simplify]: Simplify (- 0) into 0 28.881 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 28.881 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.881 * [taylor]: Taking taylor expansion of J in J 28.881 * [backup-simplify]: Simplify 0 into 0 28.881 * [backup-simplify]: Simplify 1 into 1 28.881 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 28.882 * [backup-simplify]: Simplify (* 1 1) into 1 28.882 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 28.882 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 28.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.883 * [backup-simplify]: Simplify (+ 0) into 0 28.883 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.884 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.885 * [backup-simplify]: Simplify (- 0) into 0 28.885 * [backup-simplify]: Simplify (+ 0 0) into 0 28.885 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 28.885 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 28.886 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 28.886 * [taylor]: Taking taylor expansion of 0 in K 28.886 * [backup-simplify]: Simplify 0 into 0 28.886 * [backup-simplify]: Simplify 0 into 0 28.886 * [taylor]: Taking taylor expansion of 0 in K 28.886 * [backup-simplify]: Simplify 0 into 0 28.886 * [backup-simplify]: Simplify 0 into 0 28.886 * [taylor]: Taking taylor expansion of 0 in K 28.886 * [backup-simplify]: Simplify 0 into 0 28.886 * [backup-simplify]: Simplify 0 into 0 28.886 * [backup-simplify]: Simplify 0 into 0 28.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.887 * [backup-simplify]: Simplify (+ 0) into 0 28.887 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.888 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.888 * [backup-simplify]: Simplify (- 0) into 0 28.889 * [backup-simplify]: Simplify (+ 0 0) into 0 28.889 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.889 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.890 * [backup-simplify]: Simplify (+ 0) into 0 28.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 28.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 28.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.891 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 28.891 * [backup-simplify]: Simplify (- 0) into 0 28.891 * [backup-simplify]: Simplify (+ 0 0) into 0 28.891 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 28.892 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 28.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 28.893 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 28.893 * [backup-simplify]: Simplify (+ 0 0) into 0 28.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 28.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 28.898 * [taylor]: Taking taylor expansion of 0 in J 28.898 * [backup-simplify]: Simplify 0 into 0 28.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 28.901 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.901 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.902 * [backup-simplify]: Simplify (- 0) into 0 28.902 * [backup-simplify]: Simplify (+ 0 0) into 0 28.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 28.903 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 28.903 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 28.903 * [taylor]: Taking taylor expansion of 0 in K 28.903 * [backup-simplify]: Simplify 0 into 0 28.903 * [backup-simplify]: Simplify 0 into 0 28.903 * [taylor]: Taking taylor expansion of 0 in K 28.903 * [backup-simplify]: Simplify 0 into 0 28.903 * [backup-simplify]: Simplify 0 into 0 28.903 * [backup-simplify]: Simplify 1 into 1 28.903 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 28.904 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in (U J K) around 0 28.904 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 28.904 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.904 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.904 * [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 28.904 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.904 * [taylor]: Taking taylor expansion of 1 in K 28.904 * [backup-simplify]: Simplify 1 into 1 28.904 * [taylor]: Taking taylor expansion of 1 in K 28.904 * [backup-simplify]: Simplify 1 into 1 28.904 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 28.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.904 * [taylor]: Taking taylor expansion of 1/2 in K 28.904 * [backup-simplify]: Simplify 1/2 into 1/2 28.904 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.904 * [taylor]: Taking taylor expansion of J in K 28.904 * [backup-simplify]: Simplify J into J 28.904 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.904 * [taylor]: Taking taylor expansion of U in K 28.904 * [backup-simplify]: Simplify U into U 28.904 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.904 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.904 * [taylor]: Taking taylor expansion of 1/2 in K 28.904 * [backup-simplify]: Simplify 1/2 into 1/2 28.904 * [taylor]: Taking taylor expansion of K in K 28.904 * [backup-simplify]: Simplify 0 into 0 28.904 * [backup-simplify]: Simplify 1 into 1 28.904 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.904 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.904 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.904 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 28.904 * [taylor]: Taking taylor expansion of 1/2 in K 28.905 * [backup-simplify]: Simplify 1/2 into 1/2 28.905 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 28.905 * [taylor]: Taking taylor expansion of J in K 28.905 * [backup-simplify]: Simplify J into J 28.905 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 28.905 * [taylor]: Taking taylor expansion of U in K 28.905 * [backup-simplify]: Simplify U into U 28.905 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.905 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.905 * [taylor]: Taking taylor expansion of 1/2 in K 28.905 * [backup-simplify]: Simplify 1/2 into 1/2 28.905 * [taylor]: Taking taylor expansion of K in K 28.905 * [backup-simplify]: Simplify 0 into 0 28.905 * [backup-simplify]: Simplify 1 into 1 28.905 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.905 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.905 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.905 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 28.905 * [backup-simplify]: Simplify (* 1 1) into 1 28.906 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.906 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 28.906 * [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)))) 28.906 * [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) 28.906 * [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)) 28.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.907 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.907 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.908 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 28.909 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 28.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 28.910 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 28.910 * [backup-simplify]: Simplify (+ 0 0) into 0 28.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 28.911 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 28.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 28.912 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 28.912 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.912 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.912 * [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 28.912 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.912 * [taylor]: Taking taylor expansion of 1 in J 28.912 * [backup-simplify]: Simplify 1 into 1 28.912 * [taylor]: Taking taylor expansion of 1 in J 28.912 * [backup-simplify]: Simplify 1 into 1 28.912 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 28.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.913 * [taylor]: Taking taylor expansion of 1/2 in J 28.913 * [backup-simplify]: Simplify 1/2 into 1/2 28.913 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.913 * [taylor]: Taking taylor expansion of J in J 28.913 * [backup-simplify]: Simplify 0 into 0 28.913 * [backup-simplify]: Simplify 1 into 1 28.913 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.913 * [taylor]: Taking taylor expansion of U in J 28.913 * [backup-simplify]: Simplify U into U 28.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.913 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.913 * [taylor]: Taking taylor expansion of 1/2 in J 28.913 * [backup-simplify]: Simplify 1/2 into 1/2 28.913 * [taylor]: Taking taylor expansion of K in J 28.913 * [backup-simplify]: Simplify K into K 28.913 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.913 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.913 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.913 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.913 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.914 * [backup-simplify]: Simplify (- 0) into 0 28.914 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.914 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.914 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 28.914 * [taylor]: Taking taylor expansion of 1/2 in J 28.914 * [backup-simplify]: Simplify 1/2 into 1/2 28.914 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 28.914 * [taylor]: Taking taylor expansion of J in J 28.914 * [backup-simplify]: Simplify 0 into 0 28.914 * [backup-simplify]: Simplify 1 into 1 28.914 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 28.914 * [taylor]: Taking taylor expansion of U in J 28.914 * [backup-simplify]: Simplify U into U 28.914 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.914 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.914 * [taylor]: Taking taylor expansion of 1/2 in J 28.914 * [backup-simplify]: Simplify 1/2 into 1/2 28.914 * [taylor]: Taking taylor expansion of K in J 28.914 * [backup-simplify]: Simplify K into K 28.915 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.915 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.915 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.915 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.915 * [backup-simplify]: Simplify (- 0) into 0 28.915 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.915 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 28.916 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 28.916 * [backup-simplify]: Simplify (* 1 1) into 1 28.916 * [backup-simplify]: Simplify (+ 1 0) into 1 28.917 * [backup-simplify]: Simplify (sqrt 1) into 1 28.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.918 * [backup-simplify]: Simplify (+ 0 0) into 0 28.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.919 * [backup-simplify]: Simplify (sqrt 1) into 1 28.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.919 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.919 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.919 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.919 * [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 28.919 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.919 * [taylor]: Taking taylor expansion of 1 in U 28.919 * [backup-simplify]: Simplify 1 into 1 28.919 * [taylor]: Taking taylor expansion of 1 in U 28.919 * [backup-simplify]: Simplify 1 into 1 28.919 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.919 * [taylor]: Taking taylor expansion of 1/2 in U 28.919 * [backup-simplify]: Simplify 1/2 into 1/2 28.919 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.919 * [taylor]: Taking taylor expansion of J in U 28.919 * [backup-simplify]: Simplify J into J 28.919 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.919 * [taylor]: Taking taylor expansion of U in U 28.919 * [backup-simplify]: Simplify 0 into 0 28.919 * [backup-simplify]: Simplify 1 into 1 28.920 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.920 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.920 * [taylor]: Taking taylor expansion of 1/2 in U 28.920 * [backup-simplify]: Simplify 1/2 into 1/2 28.920 * [taylor]: Taking taylor expansion of K in U 28.920 * [backup-simplify]: Simplify K into K 28.920 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.920 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.920 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.920 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.920 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.920 * [backup-simplify]: Simplify (- 0) into 0 28.920 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.920 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.920 * [backup-simplify]: Simplify (+ 0) into 0 28.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.922 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.922 * [backup-simplify]: Simplify (- 0) into 0 28.922 * [backup-simplify]: Simplify (+ 0 0) into 0 28.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.922 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.923 * [taylor]: Taking taylor expansion of 1/2 in U 28.923 * [backup-simplify]: Simplify 1/2 into 1/2 28.923 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.923 * [taylor]: Taking taylor expansion of J in U 28.923 * [backup-simplify]: Simplify J into J 28.923 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.923 * [taylor]: Taking taylor expansion of U in U 28.923 * [backup-simplify]: Simplify 0 into 0 28.923 * [backup-simplify]: Simplify 1 into 1 28.923 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.923 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.923 * [taylor]: Taking taylor expansion of 1/2 in U 28.923 * [backup-simplify]: Simplify 1/2 into 1/2 28.923 * [taylor]: Taking taylor expansion of K in U 28.923 * [backup-simplify]: Simplify K into K 28.923 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.923 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.923 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.923 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.923 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.923 * [backup-simplify]: Simplify (- 0) into 0 28.923 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.923 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.924 * [backup-simplify]: Simplify (+ 0) into 0 28.924 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.924 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.925 * [backup-simplify]: Simplify (- 0) into 0 28.925 * [backup-simplify]: Simplify (+ 0 0) into 0 28.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.926 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.926 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.926 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.926 * [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))) 28.926 * [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))) 28.926 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.927 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.928 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.928 * [backup-simplify]: Simplify (- 0) into 0 28.929 * [backup-simplify]: Simplify (+ 0 0) into 0 28.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.929 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.931 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.931 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.932 * [backup-simplify]: Simplify (- 0) into 0 28.932 * [backup-simplify]: Simplify (+ 0 0) into 0 28.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.933 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.933 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.933 * [backup-simplify]: Simplify (+ 0 0) into 0 28.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.934 * [backup-simplify]: Simplify (sqrt 0) into 0 28.934 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 28.934 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 28.934 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.934 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 28.934 * [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 28.934 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.934 * [taylor]: Taking taylor expansion of 1 in U 28.934 * [backup-simplify]: Simplify 1 into 1 28.934 * [taylor]: Taking taylor expansion of 1 in U 28.934 * [backup-simplify]: Simplify 1 into 1 28.934 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 28.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.934 * [taylor]: Taking taylor expansion of 1/2 in U 28.934 * [backup-simplify]: Simplify 1/2 into 1/2 28.934 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.934 * [taylor]: Taking taylor expansion of J in U 28.935 * [backup-simplify]: Simplify J into J 28.935 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.935 * [taylor]: Taking taylor expansion of U in U 28.935 * [backup-simplify]: Simplify 0 into 0 28.935 * [backup-simplify]: Simplify 1 into 1 28.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.935 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.935 * [taylor]: Taking taylor expansion of 1/2 in U 28.935 * [backup-simplify]: Simplify 1/2 into 1/2 28.935 * [taylor]: Taking taylor expansion of K in U 28.935 * [backup-simplify]: Simplify K into K 28.935 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.935 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.935 * [backup-simplify]: Simplify (- 0) into 0 28.935 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.935 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.935 * [backup-simplify]: Simplify (+ 0) into 0 28.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.937 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.937 * [backup-simplify]: Simplify (- 0) into 0 28.937 * [backup-simplify]: Simplify (+ 0 0) into 0 28.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.937 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 28.938 * [taylor]: Taking taylor expansion of 1/2 in U 28.938 * [backup-simplify]: Simplify 1/2 into 1/2 28.938 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 28.938 * [taylor]: Taking taylor expansion of J in U 28.938 * [backup-simplify]: Simplify J into J 28.938 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 28.938 * [taylor]: Taking taylor expansion of U in U 28.938 * [backup-simplify]: Simplify 0 into 0 28.938 * [backup-simplify]: Simplify 1 into 1 28.938 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 28.938 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 28.938 * [taylor]: Taking taylor expansion of 1/2 in U 28.938 * [backup-simplify]: Simplify 1/2 into 1/2 28.938 * [taylor]: Taking taylor expansion of K in U 28.938 * [backup-simplify]: Simplify K into K 28.938 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.938 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.938 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.938 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.938 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.938 * [backup-simplify]: Simplify (- 0) into 0 28.938 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.938 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 28.939 * [backup-simplify]: Simplify (+ 0) into 0 28.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.939 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.940 * [backup-simplify]: Simplify (- 0) into 0 28.940 * [backup-simplify]: Simplify (+ 0 0) into 0 28.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 28.941 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 28.941 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.941 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.941 * [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))) 28.941 * [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))) 28.941 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 28.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.943 * [backup-simplify]: Simplify (- 0) into 0 28.944 * [backup-simplify]: Simplify (+ 0 0) into 0 28.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.944 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 28.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 28.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 28.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 28.947 * [backup-simplify]: Simplify (- 0) into 0 28.947 * [backup-simplify]: Simplify (+ 0 0) into 0 28.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 28.948 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 28.948 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 28.948 * [backup-simplify]: Simplify (+ 0 0) into 0 28.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 28.949 * [backup-simplify]: Simplify (sqrt 0) into 0 28.949 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 28.949 * [taylor]: Taking taylor expansion of 0 in J 28.949 * [backup-simplify]: Simplify 0 into 0 28.949 * [taylor]: Taking taylor expansion of 0 in K 28.949 * [backup-simplify]: Simplify 0 into 0 28.949 * [backup-simplify]: Simplify 0 into 0 28.949 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 28.949 * [taylor]: Taking taylor expansion of +nan.0 in J 28.949 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.949 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 28.949 * [taylor]: Taking taylor expansion of J in J 28.950 * [backup-simplify]: Simplify 0 into 0 28.950 * [backup-simplify]: Simplify 1 into 1 28.950 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.950 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.950 * [taylor]: Taking taylor expansion of 1/2 in J 28.950 * [backup-simplify]: Simplify 1/2 into 1/2 28.950 * [taylor]: Taking taylor expansion of K in J 28.950 * [backup-simplify]: Simplify K into K 28.950 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.950 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.950 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.950 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.950 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.950 * [backup-simplify]: Simplify (- 0) into 0 28.950 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.950 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 28.950 * [taylor]: Taking taylor expansion of 0 in K 28.950 * [backup-simplify]: Simplify 0 into 0 28.950 * [backup-simplify]: Simplify 0 into 0 28.950 * [backup-simplify]: Simplify 0 into 0 28.951 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 28.952 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 28.952 * [taylor]: Taking taylor expansion of +nan.0 in J 28.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.952 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 28.952 * [taylor]: Taking taylor expansion of (pow J 2) in J 28.952 * [taylor]: Taking taylor expansion of J in J 28.952 * [backup-simplify]: Simplify 0 into 0 28.952 * [backup-simplify]: Simplify 1 into 1 28.952 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 28.952 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.952 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.952 * [taylor]: Taking taylor expansion of 1/2 in J 28.952 * [backup-simplify]: Simplify 1/2 into 1/2 28.952 * [taylor]: Taking taylor expansion of K in J 28.952 * [backup-simplify]: Simplify K into K 28.952 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.952 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.952 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.952 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.952 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.953 * [backup-simplify]: Simplify (- 0) into 0 28.953 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.953 * [backup-simplify]: Simplify (* 1 1) into 1 28.954 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 28.954 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 28.954 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) 28.954 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K 28.954 * [taylor]: Taking taylor expansion of +nan.0 in K 28.954 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.954 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 28.954 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 28.954 * [taylor]: Taking taylor expansion of 1/2 in K 28.954 * [backup-simplify]: Simplify 1/2 into 1/2 28.954 * [taylor]: Taking taylor expansion of K in K 28.954 * [backup-simplify]: Simplify 0 into 0 28.954 * [backup-simplify]: Simplify 1 into 1 28.955 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.955 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.955 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 28.955 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 28.955 * [taylor]: Taking taylor expansion of 0 in K 28.955 * [backup-simplify]: Simplify 0 into 0 28.955 * [backup-simplify]: Simplify 0 into 0 28.955 * [backup-simplify]: Simplify 0 into 0 28.955 * [backup-simplify]: Simplify 0 into 0 28.955 * [backup-simplify]: Simplify (* 1 1) into 1 28.956 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.960 * [backup-simplify]: Simplify (- 0) into 0 28.961 * [backup-simplify]: Simplify (+ 0 0) into 0 28.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.962 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 28.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.964 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 28.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 28.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 28.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 28.968 * [backup-simplify]: Simplify (- 0) into 0 28.968 * [backup-simplify]: Simplify (+ 0 0) into 0 28.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 28.970 * [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 28.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 28.971 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 28.972 * [backup-simplify]: Simplify (+ 1 0) into 1 28.973 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 28.974 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 28.974 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J 28.974 * [taylor]: Taking taylor expansion of +nan.0 in J 28.974 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.974 * [taylor]: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in J 28.974 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 28.974 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.974 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.974 * [taylor]: Taking taylor expansion of 1/2 in J 28.974 * [backup-simplify]: Simplify 1/2 into 1/2 28.974 * [taylor]: Taking taylor expansion of K in J 28.974 * [backup-simplify]: Simplify K into K 28.974 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.974 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.974 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.974 * [taylor]: Taking taylor expansion of J in J 28.974 * [backup-simplify]: Simplify 0 into 0 28.974 * [backup-simplify]: Simplify 1 into 1 28.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.974 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.975 * [backup-simplify]: Simplify (- 0) into 0 28.975 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.975 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.975 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J 28.975 * [taylor]: Taking taylor expansion of +nan.0 in J 28.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.975 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J 28.975 * [taylor]: Taking taylor expansion of (pow J 3) in J 28.975 * [taylor]: Taking taylor expansion of J in J 28.975 * [backup-simplify]: Simplify 0 into 0 28.975 * [backup-simplify]: Simplify 1 into 1 28.975 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J 28.975 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 28.975 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 28.975 * [taylor]: Taking taylor expansion of 1/2 in J 28.975 * [backup-simplify]: Simplify 1/2 into 1/2 28.975 * [taylor]: Taking taylor expansion of K in J 28.975 * [backup-simplify]: Simplify K into K 28.976 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 28.976 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 28.976 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 28.976 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 28.976 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 28.976 * [backup-simplify]: Simplify (- 0) into 0 28.976 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.977 * [backup-simplify]: Simplify (* 1 1) into 1 28.977 * [backup-simplify]: Simplify (* 1 1) into 1 28.977 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 28.977 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3) 28.977 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) 28.978 * [backup-simplify]: Simplify (+ 0) into 0 28.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.978 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.979 * [backup-simplify]: Simplify (- 0) into 0 28.980 * [backup-simplify]: Simplify (+ 0 0) into 0 28.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 28.980 * [backup-simplify]: Simplify (+ 0 0) into 0 28.980 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 28.981 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ 1/2 K)))) into 0 28.981 * [taylor]: Taking taylor expansion of 0 in K 28.981 * [backup-simplify]: Simplify 0 into 0 28.981 * [backup-simplify]: Simplify 0 into 0 28.981 * [backup-simplify]: Simplify (+ 0) into 0 28.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 28.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 28.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 28.983 * [backup-simplify]: Simplify (- 0) into 0 28.983 * [backup-simplify]: Simplify (+ 0 0) into 0 28.983 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 28.983 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 28.983 * [taylor]: Taking taylor expansion of 0 in K 28.983 * [backup-simplify]: Simplify 0 into 0 28.983 * [backup-simplify]: Simplify 0 into 0 28.983 * [taylor]: Taking taylor expansion of 0 in K 28.983 * [backup-simplify]: Simplify 0 into 0 28.983 * [backup-simplify]: Simplify 0 into 0 28.983 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 28.984 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) into (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 28.984 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 28.984 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 28.984 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 28.984 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.984 * [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 28.984 * [taylor]: Taking taylor expansion of (* 1 1) in K 28.984 * [taylor]: Taking taylor expansion of 1 in K 28.984 * [backup-simplify]: Simplify 1 into 1 28.984 * [taylor]: Taking taylor expansion of 1 in K 28.984 * [backup-simplify]: Simplify 1 into 1 28.984 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 28.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 28.984 * [taylor]: Taking taylor expansion of 1/2 in K 28.984 * [backup-simplify]: Simplify 1/2 into 1/2 28.984 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 28.984 * [taylor]: Taking taylor expansion of J in K 28.984 * [backup-simplify]: Simplify J into J 28.984 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 28.984 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.984 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.984 * [taylor]: Taking taylor expansion of -1/2 in K 28.984 * [backup-simplify]: Simplify -1/2 into -1/2 28.984 * [taylor]: Taking taylor expansion of K in K 28.984 * [backup-simplify]: Simplify 0 into 0 28.984 * [backup-simplify]: Simplify 1 into 1 28.984 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.984 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.984 * [taylor]: Taking taylor expansion of U in K 28.985 * [backup-simplify]: Simplify U into U 28.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.985 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 28.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 28.985 * [taylor]: Taking taylor expansion of 1/2 in K 28.985 * [backup-simplify]: Simplify 1/2 into 1/2 28.985 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 28.985 * [taylor]: Taking taylor expansion of J in K 28.985 * [backup-simplify]: Simplify J into J 28.985 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 28.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 28.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 28.985 * [taylor]: Taking taylor expansion of -1/2 in K 28.985 * [backup-simplify]: Simplify -1/2 into -1/2 28.985 * [taylor]: Taking taylor expansion of K in K 28.985 * [backup-simplify]: Simplify 0 into 0 28.985 * [backup-simplify]: Simplify 1 into 1 28.985 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.985 * [taylor]: Taking taylor expansion of U in K 28.985 * [backup-simplify]: Simplify U into U 28.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.985 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 28.986 * [backup-simplify]: Simplify (* 1 1) into 1 28.986 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 28.986 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 28.986 * [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)))) 28.986 * [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))))) 28.986 * [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)))))) 28.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 28.987 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 28.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 28.988 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 28.988 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 28.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 28.988 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 28.988 * [backup-simplify]: Simplify (+ 0 0) into 0 28.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 28.989 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 28.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 28.989 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 28.989 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 28.989 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.989 * [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 28.989 * [taylor]: Taking taylor expansion of (* 1 1) in J 28.989 * [taylor]: Taking taylor expansion of 1 in J 28.989 * [backup-simplify]: Simplify 1 into 1 28.989 * [taylor]: Taking taylor expansion of 1 in J 28.989 * [backup-simplify]: Simplify 1 into 1 28.989 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 28.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 28.989 * [taylor]: Taking taylor expansion of 1/2 in J 28.989 * [backup-simplify]: Simplify 1/2 into 1/2 28.990 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 28.990 * [taylor]: Taking taylor expansion of J in J 28.990 * [backup-simplify]: Simplify 0 into 0 28.990 * [backup-simplify]: Simplify 1 into 1 28.990 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 28.990 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.990 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.990 * [taylor]: Taking taylor expansion of -1/2 in J 28.990 * [backup-simplify]: Simplify -1/2 into -1/2 28.990 * [taylor]: Taking taylor expansion of K in J 28.990 * [backup-simplify]: Simplify K into K 28.990 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.990 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.990 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.990 * [taylor]: Taking taylor expansion of U in J 28.990 * [backup-simplify]: Simplify U into U 28.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.990 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.990 * [backup-simplify]: Simplify (- 0) into 0 28.990 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.990 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 28.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 28.990 * [taylor]: Taking taylor expansion of 1/2 in J 28.990 * [backup-simplify]: Simplify 1/2 into 1/2 28.990 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 28.990 * [taylor]: Taking taylor expansion of J in J 28.990 * [backup-simplify]: Simplify 0 into 0 28.990 * [backup-simplify]: Simplify 1 into 1 28.991 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 28.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 28.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 28.991 * [taylor]: Taking taylor expansion of -1/2 in J 28.991 * [backup-simplify]: Simplify -1/2 into -1/2 28.991 * [taylor]: Taking taylor expansion of K in J 28.991 * [backup-simplify]: Simplify K into K 28.991 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.991 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.991 * [taylor]: Taking taylor expansion of U in J 28.991 * [backup-simplify]: Simplify U into U 28.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.991 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.991 * [backup-simplify]: Simplify (- 0) into 0 28.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 28.991 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 28.992 * [backup-simplify]: Simplify (* 1 1) into 1 28.992 * [backup-simplify]: Simplify (+ 1 0) into 1 28.992 * [backup-simplify]: Simplify (sqrt 1) into 1 28.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.993 * [backup-simplify]: Simplify (+ 0 0) into 0 28.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.993 * [backup-simplify]: Simplify (sqrt 1) into 1 28.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.994 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 28.994 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 28.994 * [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 28.994 * [taylor]: Taking taylor expansion of (* 1 1) in U 28.994 * [taylor]: Taking taylor expansion of 1 in U 28.994 * [backup-simplify]: Simplify 1 into 1 28.994 * [taylor]: Taking taylor expansion of 1 in U 28.994 * [backup-simplify]: Simplify 1 into 1 28.994 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 28.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.994 * [taylor]: Taking taylor expansion of 1/2 in U 28.994 * [backup-simplify]: Simplify 1/2 into 1/2 28.994 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.994 * [taylor]: Taking taylor expansion of J in U 28.994 * [backup-simplify]: Simplify J into J 28.994 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.994 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.994 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.994 * [taylor]: Taking taylor expansion of -1/2 in U 28.994 * [backup-simplify]: Simplify -1/2 into -1/2 28.994 * [taylor]: Taking taylor expansion of K in U 28.994 * [backup-simplify]: Simplify K into K 28.994 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.994 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.994 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.994 * [taylor]: Taking taylor expansion of U in U 28.994 * [backup-simplify]: Simplify 0 into 0 28.994 * [backup-simplify]: Simplify 1 into 1 28.994 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.994 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.995 * [backup-simplify]: Simplify (- 0) into 0 28.995 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.995 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.995 * [backup-simplify]: Simplify (+ 0) into 0 28.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 28.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 28.997 * [backup-simplify]: Simplify (- 0) into 0 28.997 * [backup-simplify]: Simplify (+ 0 0) into 0 28.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 28.997 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 28.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 28.997 * [taylor]: Taking taylor expansion of 1/2 in U 28.997 * [backup-simplify]: Simplify 1/2 into 1/2 28.997 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 28.997 * [taylor]: Taking taylor expansion of J in U 28.997 * [backup-simplify]: Simplify J into J 28.997 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 28.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 28.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 28.998 * [taylor]: Taking taylor expansion of -1/2 in U 28.998 * [backup-simplify]: Simplify -1/2 into -1/2 28.998 * [taylor]: Taking taylor expansion of K in U 28.998 * [backup-simplify]: Simplify K into K 28.998 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 28.998 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 28.998 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 28.998 * [taylor]: Taking taylor expansion of U in U 28.998 * [backup-simplify]: Simplify 0 into 0 28.998 * [backup-simplify]: Simplify 1 into 1 28.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 28.998 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 28.998 * [backup-simplify]: Simplify (- 0) into 0 28.998 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 28.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 28.998 * [backup-simplify]: Simplify (+ 0) into 0 28.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 28.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 28.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.000 * [backup-simplify]: Simplify (- 0) into 0 29.000 * [backup-simplify]: Simplify (+ 0 0) into 0 29.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.001 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.001 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.001 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.001 * [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))) 29.001 * [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))) 29.001 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.003 * [backup-simplify]: Simplify (- 0) into 0 29.003 * [backup-simplify]: Simplify (+ 0 0) into 0 29.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.010 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.013 * [backup-simplify]: Simplify (- 0) into 0 29.013 * [backup-simplify]: Simplify (+ 0 0) into 0 29.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.014 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.015 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.016 * [backup-simplify]: Simplify (+ 0 0) into 0 29.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.016 * [backup-simplify]: Simplify (sqrt 0) into 0 29.017 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 29.017 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.017 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.017 * [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 29.017 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.017 * [taylor]: Taking taylor expansion of 1 in U 29.017 * [backup-simplify]: Simplify 1 into 1 29.017 * [taylor]: Taking taylor expansion of 1 in U 29.017 * [backup-simplify]: Simplify 1 into 1 29.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.017 * [taylor]: Taking taylor expansion of 1/2 in U 29.017 * [backup-simplify]: Simplify 1/2 into 1/2 29.017 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.017 * [taylor]: Taking taylor expansion of J in U 29.017 * [backup-simplify]: Simplify J into J 29.017 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.018 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.018 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.018 * [taylor]: Taking taylor expansion of -1/2 in U 29.018 * [backup-simplify]: Simplify -1/2 into -1/2 29.018 * [taylor]: Taking taylor expansion of K in U 29.018 * [backup-simplify]: Simplify K into K 29.018 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.018 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.018 * [taylor]: Taking taylor expansion of U in U 29.018 * [backup-simplify]: Simplify 0 into 0 29.018 * [backup-simplify]: Simplify 1 into 1 29.018 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.018 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.018 * [backup-simplify]: Simplify (- 0) into 0 29.019 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.019 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.019 * [backup-simplify]: Simplify (+ 0) into 0 29.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.021 * [backup-simplify]: Simplify (- 0) into 0 29.022 * [backup-simplify]: Simplify (+ 0 0) into 0 29.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.022 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.022 * [taylor]: Taking taylor expansion of 1/2 in U 29.022 * [backup-simplify]: Simplify 1/2 into 1/2 29.022 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.023 * [taylor]: Taking taylor expansion of J in U 29.023 * [backup-simplify]: Simplify J into J 29.023 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.023 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.023 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.023 * [taylor]: Taking taylor expansion of -1/2 in U 29.023 * [backup-simplify]: Simplify -1/2 into -1/2 29.023 * [taylor]: Taking taylor expansion of K in U 29.023 * [backup-simplify]: Simplify K into K 29.023 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.023 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.023 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.023 * [taylor]: Taking taylor expansion of U in U 29.023 * [backup-simplify]: Simplify 0 into 0 29.023 * [backup-simplify]: Simplify 1 into 1 29.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.023 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.024 * [backup-simplify]: Simplify (- 0) into 0 29.024 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.024 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.024 * [backup-simplify]: Simplify (+ 0) into 0 29.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.027 * [backup-simplify]: Simplify (- 0) into 0 29.027 * [backup-simplify]: Simplify (+ 0 0) into 0 29.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.028 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.028 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.028 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.028 * [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))) 29.028 * [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))) 29.029 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.032 * [backup-simplify]: Simplify (- 0) into 0 29.033 * [backup-simplify]: Simplify (+ 0 0) into 0 29.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.034 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.038 * [backup-simplify]: Simplify (- 0) into 0 29.038 * [backup-simplify]: Simplify (+ 0 0) into 0 29.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.040 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.041 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.041 * [backup-simplify]: Simplify (+ 0 0) into 0 29.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.042 * [backup-simplify]: Simplify (sqrt 0) into 0 29.042 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 29.042 * [taylor]: Taking taylor expansion of 0 in J 29.043 * [backup-simplify]: Simplify 0 into 0 29.043 * [taylor]: Taking taylor expansion of 0 in K 29.043 * [backup-simplify]: Simplify 0 into 0 29.043 * [backup-simplify]: Simplify 0 into 0 29.043 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 29.043 * [taylor]: Taking taylor expansion of +nan.0 in J 29.043 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.043 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 29.043 * [taylor]: Taking taylor expansion of J in J 29.043 * [backup-simplify]: Simplify 0 into 0 29.043 * [backup-simplify]: Simplify 1 into 1 29.043 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.043 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.043 * [taylor]: Taking taylor expansion of -1/2 in J 29.043 * [backup-simplify]: Simplify -1/2 into -1/2 29.043 * [taylor]: Taking taylor expansion of K in J 29.043 * [backup-simplify]: Simplify K into K 29.043 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.043 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.043 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.043 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.043 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.044 * [backup-simplify]: Simplify (- 0) into 0 29.044 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.044 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 29.044 * [taylor]: Taking taylor expansion of 0 in K 29.044 * [backup-simplify]: Simplify 0 into 0 29.044 * [backup-simplify]: Simplify 0 into 0 29.044 * [backup-simplify]: Simplify 0 into 0 29.045 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 29.045 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 29.046 * [taylor]: Taking taylor expansion of +nan.0 in J 29.046 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.046 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 29.046 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.046 * [taylor]: Taking taylor expansion of J in J 29.046 * [backup-simplify]: Simplify 0 into 0 29.046 * [backup-simplify]: Simplify 1 into 1 29.046 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 29.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.046 * [taylor]: Taking taylor expansion of -1/2 in J 29.046 * [backup-simplify]: Simplify -1/2 into -1/2 29.046 * [taylor]: Taking taylor expansion of K in J 29.046 * [backup-simplify]: Simplify K into K 29.046 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.046 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.046 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.046 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.047 * [backup-simplify]: Simplify (- 0) into 0 29.047 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.047 * [backup-simplify]: Simplify (* 1 1) into 1 29.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.047 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 29.048 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) 29.048 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K 29.048 * [taylor]: Taking taylor expansion of +nan.0 in K 29.048 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.048 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.048 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.048 * [taylor]: Taking taylor expansion of -1/2 in K 29.048 * [backup-simplify]: Simplify -1/2 into -1/2 29.048 * [taylor]: Taking taylor expansion of K in K 29.048 * [backup-simplify]: Simplify 0 into 0 29.048 * [backup-simplify]: Simplify 1 into 1 29.048 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.048 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.048 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 29.049 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 29.049 * [taylor]: Taking taylor expansion of 0 in K 29.049 * [backup-simplify]: Simplify 0 into 0 29.049 * [backup-simplify]: Simplify 0 into 0 29.049 * [backup-simplify]: Simplify 0 into 0 29.049 * [backup-simplify]: Simplify 0 into 0 29.049 * [backup-simplify]: Simplify (* 1 1) into 1 29.050 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.051 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.054 * [backup-simplify]: Simplify (- 0) into 0 29.054 * [backup-simplify]: Simplify (+ 0 0) into 0 29.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.056 * [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 29.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.057 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.060 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.061 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.061 * [backup-simplify]: Simplify (- 0) into 0 29.062 * [backup-simplify]: Simplify (+ 0 0) into 0 29.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.063 * [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 29.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.065 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 29.065 * [backup-simplify]: Simplify (+ 1 0) into 1 29.066 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 29.067 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 29.067 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J 29.067 * [taylor]: Taking taylor expansion of +nan.0 in J 29.067 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.067 * [taylor]: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in J 29.067 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 29.067 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.067 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.067 * [taylor]: Taking taylor expansion of -1/2 in J 29.067 * [backup-simplify]: Simplify -1/2 into -1/2 29.067 * [taylor]: Taking taylor expansion of K in J 29.067 * [backup-simplify]: Simplify K into K 29.068 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.068 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.068 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.068 * [taylor]: Taking taylor expansion of J in J 29.068 * [backup-simplify]: Simplify 0 into 0 29.068 * [backup-simplify]: Simplify 1 into 1 29.068 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.068 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.068 * [backup-simplify]: Simplify (- 0) into 0 29.069 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.069 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.069 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J 29.069 * [taylor]: Taking taylor expansion of +nan.0 in J 29.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.069 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J 29.069 * [taylor]: Taking taylor expansion of (pow J 3) in J 29.069 * [taylor]: Taking taylor expansion of J in J 29.069 * [backup-simplify]: Simplify 0 into 0 29.069 * [backup-simplify]: Simplify 1 into 1 29.069 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J 29.069 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.069 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.069 * [taylor]: Taking taylor expansion of -1/2 in J 29.069 * [backup-simplify]: Simplify -1/2 into -1/2 29.069 * [taylor]: Taking taylor expansion of K in J 29.069 * [backup-simplify]: Simplify K into K 29.069 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.069 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.069 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.069 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.069 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.070 * [backup-simplify]: Simplify (- 0) into 0 29.070 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.070 * [backup-simplify]: Simplify (* 1 1) into 1 29.071 * [backup-simplify]: Simplify (* 1 1) into 1 29.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3) 29.071 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) 29.072 * [backup-simplify]: Simplify (+ 0) into 0 29.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.072 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.074 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.074 * [backup-simplify]: Simplify (- 0) into 0 29.075 * [backup-simplify]: Simplify (+ 0 0) into 0 29.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 29.076 * [backup-simplify]: Simplify (+ 0 0) into 0 29.076 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.077 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ -1/2 K)))) into 0 29.077 * [taylor]: Taking taylor expansion of 0 in K 29.077 * [backup-simplify]: Simplify 0 into 0 29.077 * [backup-simplify]: Simplify 0 into 0 29.077 * [backup-simplify]: Simplify (+ 0) into 0 29.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.078 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.079 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.080 * [backup-simplify]: Simplify (- 0) into 0 29.080 * [backup-simplify]: Simplify (+ 0 0) into 0 29.080 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.081 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 29.081 * [taylor]: Taking taylor expansion of 0 in K 29.081 * [backup-simplify]: Simplify 0 into 0 29.081 * [backup-simplify]: Simplify 0 into 0 29.081 * [taylor]: Taking taylor expansion of 0 in K 29.081 * [backup-simplify]: Simplify 0 into 0 29.081 * [backup-simplify]: Simplify 0 into 0 29.081 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 29.081 * * * * [progress]: [ 3 / 4 ] generating series at (2) 29.082 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 29.082 * [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 29.082 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 29.082 * [taylor]: Taking taylor expansion of -2 in K 29.082 * [backup-simplify]: Simplify -2 into -2 29.082 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 29.082 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.082 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.082 * [taylor]: Taking taylor expansion of 1/2 in K 29.082 * [backup-simplify]: Simplify 1/2 into 1/2 29.082 * [taylor]: Taking taylor expansion of K in K 29.082 * [backup-simplify]: Simplify 0 into 0 29.082 * [backup-simplify]: Simplify 1 into 1 29.083 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.084 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.084 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 29.084 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.084 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.084 * [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 29.084 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.084 * [taylor]: Taking taylor expansion of 1 in K 29.084 * [backup-simplify]: Simplify 1 into 1 29.084 * [taylor]: Taking taylor expansion of 1 in K 29.084 * [backup-simplify]: Simplify 1 into 1 29.084 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.084 * [taylor]: Taking taylor expansion of 1/2 in K 29.084 * [backup-simplify]: Simplify 1/2 into 1/2 29.084 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.084 * [taylor]: Taking taylor expansion of U in K 29.084 * [backup-simplify]: Simplify U into U 29.084 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.084 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.084 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.084 * [taylor]: Taking taylor expansion of 1/2 in K 29.084 * [backup-simplify]: Simplify 1/2 into 1/2 29.084 * [taylor]: Taking taylor expansion of K in K 29.084 * [backup-simplify]: Simplify 0 into 0 29.084 * [backup-simplify]: Simplify 1 into 1 29.085 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.086 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.086 * [taylor]: Taking taylor expansion of J in K 29.086 * [backup-simplify]: Simplify J into J 29.086 * [backup-simplify]: Simplify (* 1 J) into J 29.086 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.086 * [taylor]: Taking taylor expansion of 1/2 in K 29.086 * [backup-simplify]: Simplify 1/2 into 1/2 29.086 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.086 * [taylor]: Taking taylor expansion of U in K 29.086 * [backup-simplify]: Simplify U into U 29.086 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.086 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.086 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.086 * [taylor]: Taking taylor expansion of 1/2 in K 29.086 * [backup-simplify]: Simplify 1/2 into 1/2 29.086 * [taylor]: Taking taylor expansion of K in K 29.086 * [backup-simplify]: Simplify 0 into 0 29.086 * [backup-simplify]: Simplify 1 into 1 29.087 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.087 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.087 * [taylor]: Taking taylor expansion of J in K 29.088 * [backup-simplify]: Simplify J into J 29.088 * [backup-simplify]: Simplify (* 1 J) into J 29.088 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.088 * [backup-simplify]: Simplify (* 1 1) into 1 29.088 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.088 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.088 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 29.089 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 29.089 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 29.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.090 * [backup-simplify]: Simplify (+ 0) into 0 29.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.091 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.092 * [backup-simplify]: Simplify (+ 0) into 0 29.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.092 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.093 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 29.093 * [backup-simplify]: Simplify (+ 0 0) into 0 29.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 29.094 * [taylor]: Taking taylor expansion of J in K 29.094 * [backup-simplify]: Simplify J into J 29.094 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 29.094 * [taylor]: Taking taylor expansion of -2 in J 29.094 * [backup-simplify]: Simplify -2 into -2 29.094 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 29.094 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.094 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.094 * [taylor]: Taking taylor expansion of 1/2 in J 29.094 * [backup-simplify]: Simplify 1/2 into 1/2 29.094 * [taylor]: Taking taylor expansion of K in J 29.094 * [backup-simplify]: Simplify K into K 29.094 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.094 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.094 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.094 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 29.094 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.094 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.094 * [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 29.094 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.094 * [taylor]: Taking taylor expansion of 1 in J 29.094 * [backup-simplify]: Simplify 1 into 1 29.094 * [taylor]: Taking taylor expansion of 1 in J 29.094 * [backup-simplify]: Simplify 1 into 1 29.094 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.094 * [taylor]: Taking taylor expansion of 1/2 in J 29.094 * [backup-simplify]: Simplify 1/2 into 1/2 29.094 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.094 * [taylor]: Taking taylor expansion of U in J 29.094 * [backup-simplify]: Simplify U into U 29.094 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.094 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.094 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.095 * [taylor]: Taking taylor expansion of 1/2 in J 29.095 * [backup-simplify]: Simplify 1/2 into 1/2 29.095 * [taylor]: Taking taylor expansion of K in J 29.095 * [backup-simplify]: Simplify K into K 29.095 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.095 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.095 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.095 * [taylor]: Taking taylor expansion of J in J 29.095 * [backup-simplify]: Simplify 0 into 0 29.095 * [backup-simplify]: Simplify 1 into 1 29.095 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.095 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.095 * [backup-simplify]: Simplify (- 0) into 0 29.095 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.095 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.095 * [backup-simplify]: Simplify (+ 0) into 0 29.096 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.097 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.097 * [backup-simplify]: Simplify (- 0) into 0 29.097 * [backup-simplify]: Simplify (+ 0 0) into 0 29.098 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.098 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.098 * [taylor]: Taking taylor expansion of 1/2 in J 29.098 * [backup-simplify]: Simplify 1/2 into 1/2 29.098 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.098 * [taylor]: Taking taylor expansion of U in J 29.098 * [backup-simplify]: Simplify U into U 29.098 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.098 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.098 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.098 * [taylor]: Taking taylor expansion of 1/2 in J 29.098 * [backup-simplify]: Simplify 1/2 into 1/2 29.098 * [taylor]: Taking taylor expansion of K in J 29.098 * [backup-simplify]: Simplify K into K 29.098 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.098 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.098 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.098 * [taylor]: Taking taylor expansion of J in J 29.098 * [backup-simplify]: Simplify 0 into 0 29.098 * [backup-simplify]: Simplify 1 into 1 29.098 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.098 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.098 * [backup-simplify]: Simplify (- 0) into 0 29.098 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.099 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.099 * [backup-simplify]: Simplify (+ 0) into 0 29.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.100 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.100 * [backup-simplify]: Simplify (- 0) into 0 29.101 * [backup-simplify]: Simplify (+ 0 0) into 0 29.101 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.101 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.101 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.101 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.101 * [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))) 29.101 * [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))) 29.102 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.103 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.104 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.104 * [backup-simplify]: Simplify (- 0) into 0 29.104 * [backup-simplify]: Simplify (+ 0 0) into 0 29.105 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.105 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.106 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.107 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.107 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.108 * [backup-simplify]: Simplify (- 0) into 0 29.108 * [backup-simplify]: Simplify (+ 0 0) into 0 29.108 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.109 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.109 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 29.109 * [backup-simplify]: Simplify (+ 0 0) into 0 29.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 29.109 * [taylor]: Taking taylor expansion of J in J 29.109 * [backup-simplify]: Simplify 0 into 0 29.109 * [backup-simplify]: Simplify 1 into 1 29.109 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 29.109 * [taylor]: Taking taylor expansion of -2 in U 29.110 * [backup-simplify]: Simplify -2 into -2 29.110 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 29.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.110 * [taylor]: Taking taylor expansion of 1/2 in U 29.110 * [backup-simplify]: Simplify 1/2 into 1/2 29.110 * [taylor]: Taking taylor expansion of K in U 29.110 * [backup-simplify]: Simplify K into K 29.110 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.110 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.110 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.110 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 29.110 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.110 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.110 * [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 29.110 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.110 * [taylor]: Taking taylor expansion of 1 in U 29.110 * [backup-simplify]: Simplify 1 into 1 29.110 * [taylor]: Taking taylor expansion of 1 in U 29.110 * [backup-simplify]: Simplify 1 into 1 29.110 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.110 * [taylor]: Taking taylor expansion of 1/2 in U 29.110 * [backup-simplify]: Simplify 1/2 into 1/2 29.110 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.110 * [taylor]: Taking taylor expansion of U in U 29.110 * [backup-simplify]: Simplify 0 into 0 29.110 * [backup-simplify]: Simplify 1 into 1 29.110 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.110 * [taylor]: Taking taylor expansion of 1/2 in U 29.110 * [backup-simplify]: Simplify 1/2 into 1/2 29.110 * [taylor]: Taking taylor expansion of K in U 29.110 * [backup-simplify]: Simplify K into K 29.110 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.110 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.110 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.110 * [taylor]: Taking taylor expansion of J in U 29.110 * [backup-simplify]: Simplify J into J 29.110 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.110 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.111 * [backup-simplify]: Simplify (- 0) into 0 29.111 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.111 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.111 * [taylor]: Taking taylor expansion of 1/2 in U 29.111 * [backup-simplify]: Simplify 1/2 into 1/2 29.111 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.111 * [taylor]: Taking taylor expansion of U in U 29.111 * [backup-simplify]: Simplify 0 into 0 29.111 * [backup-simplify]: Simplify 1 into 1 29.111 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.111 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.111 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.111 * [taylor]: Taking taylor expansion of 1/2 in U 29.111 * [backup-simplify]: Simplify 1/2 into 1/2 29.111 * [taylor]: Taking taylor expansion of K in U 29.111 * [backup-simplify]: Simplify K into K 29.111 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.111 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.111 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.111 * [taylor]: Taking taylor expansion of J in U 29.111 * [backup-simplify]: Simplify J into J 29.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.111 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.112 * [backup-simplify]: Simplify (- 0) into 0 29.112 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.112 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.112 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.112 * [backup-simplify]: Simplify (* 1 1) into 1 29.112 * [backup-simplify]: Simplify (+ 1 0) into 1 29.112 * [backup-simplify]: Simplify (sqrt 1) into 1 29.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.113 * [backup-simplify]: Simplify (+ 0 0) into 0 29.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.114 * [taylor]: Taking taylor expansion of J in U 29.114 * [backup-simplify]: Simplify J into J 29.114 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 29.114 * [taylor]: Taking taylor expansion of -2 in U 29.114 * [backup-simplify]: Simplify -2 into -2 29.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 29.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.114 * [taylor]: Taking taylor expansion of 1/2 in U 29.114 * [backup-simplify]: Simplify 1/2 into 1/2 29.114 * [taylor]: Taking taylor expansion of K in U 29.114 * [backup-simplify]: Simplify K into K 29.114 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.114 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.114 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.114 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 29.114 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.114 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.114 * [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 29.114 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.114 * [taylor]: Taking taylor expansion of 1 in U 29.114 * [backup-simplify]: Simplify 1 into 1 29.114 * [taylor]: Taking taylor expansion of 1 in U 29.114 * [backup-simplify]: Simplify 1 into 1 29.114 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.114 * [taylor]: Taking taylor expansion of 1/2 in U 29.114 * [backup-simplify]: Simplify 1/2 into 1/2 29.114 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.114 * [taylor]: Taking taylor expansion of U in U 29.114 * [backup-simplify]: Simplify 0 into 0 29.114 * [backup-simplify]: Simplify 1 into 1 29.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.114 * [taylor]: Taking taylor expansion of 1/2 in U 29.114 * [backup-simplify]: Simplify 1/2 into 1/2 29.114 * [taylor]: Taking taylor expansion of K in U 29.114 * [backup-simplify]: Simplify K into K 29.114 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.115 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.115 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.115 * [taylor]: Taking taylor expansion of J in U 29.115 * [backup-simplify]: Simplify J into J 29.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.115 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.115 * [backup-simplify]: Simplify (- 0) into 0 29.115 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.115 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.115 * [taylor]: Taking taylor expansion of 1/2 in U 29.115 * [backup-simplify]: Simplify 1/2 into 1/2 29.115 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.115 * [taylor]: Taking taylor expansion of U in U 29.115 * [backup-simplify]: Simplify 0 into 0 29.115 * [backup-simplify]: Simplify 1 into 1 29.115 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.115 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.115 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.115 * [taylor]: Taking taylor expansion of 1/2 in U 29.115 * [backup-simplify]: Simplify 1/2 into 1/2 29.115 * [taylor]: Taking taylor expansion of K in U 29.115 * [backup-simplify]: Simplify K into K 29.115 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.115 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.115 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.115 * [taylor]: Taking taylor expansion of J in U 29.116 * [backup-simplify]: Simplify J into J 29.116 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.116 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.116 * [backup-simplify]: Simplify (- 0) into 0 29.116 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.116 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.116 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.116 * [backup-simplify]: Simplify (* 1 1) into 1 29.117 * [backup-simplify]: Simplify (+ 1 0) into 1 29.117 * [backup-simplify]: Simplify (sqrt 1) into 1 29.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.117 * [backup-simplify]: Simplify (+ 0 0) into 0 29.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.118 * [taylor]: Taking taylor expansion of J in U 29.118 * [backup-simplify]: Simplify J into J 29.118 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.118 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.118 * [backup-simplify]: Simplify (- 0) into 0 29.118 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.118 * [backup-simplify]: Simplify (* 1 J) into J 29.118 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.118 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 29.118 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 29.118 * [taylor]: Taking taylor expansion of -2 in J 29.119 * [backup-simplify]: Simplify -2 into -2 29.119 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.119 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.119 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.119 * [taylor]: Taking taylor expansion of 1/2 in J 29.119 * [backup-simplify]: Simplify 1/2 into 1/2 29.119 * [taylor]: Taking taylor expansion of K in J 29.119 * [backup-simplify]: Simplify K into K 29.119 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.119 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.119 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.119 * [taylor]: Taking taylor expansion of J in J 29.119 * [backup-simplify]: Simplify 0 into 0 29.119 * [backup-simplify]: Simplify 1 into 1 29.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.119 * [backup-simplify]: Simplify (+ 0) into 0 29.120 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.121 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.121 * [backup-simplify]: Simplify (- 0) into 0 29.121 * [backup-simplify]: Simplify (+ 0 0) into 0 29.121 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.122 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 29.122 * [taylor]: Taking taylor expansion of 0 in J 29.122 * [backup-simplify]: Simplify 0 into 0 29.122 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.122 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.122 * [backup-simplify]: Simplify (- 0) into 0 29.122 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.122 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.122 * [backup-simplify]: Simplify (* -2 0) into 0 29.122 * [taylor]: Taking taylor expansion of 0 in K 29.122 * [backup-simplify]: Simplify 0 into 0 29.122 * [backup-simplify]: Simplify 0 into 0 29.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.123 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.123 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.123 * [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))) 29.123 * [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)))) 29.124 * [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))) 29.125 * [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))) 29.126 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.128 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.129 * [backup-simplify]: Simplify (- 0) into 0 29.129 * [backup-simplify]: Simplify (+ 0 0) into 0 29.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 29.130 * [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)))) 29.130 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 29.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 29.131 * [taylor]: Taking taylor expansion of 1/4 in J 29.131 * [backup-simplify]: Simplify 1/4 into 1/4 29.131 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 29.131 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.131 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.131 * [taylor]: Taking taylor expansion of 1/2 in J 29.131 * [backup-simplify]: Simplify 1/2 into 1/2 29.131 * [taylor]: Taking taylor expansion of K in J 29.131 * [backup-simplify]: Simplify K into K 29.131 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.131 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.131 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.131 * [taylor]: Taking taylor expansion of J in J 29.131 * [backup-simplify]: Simplify 0 into 0 29.131 * [backup-simplify]: Simplify 1 into 1 29.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.131 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.132 * [backup-simplify]: Simplify (- 0) into 0 29.132 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.132 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.132 * [backup-simplify]: Simplify (+ 0) into 0 29.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.135 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.135 * [backup-simplify]: Simplify (- 0) into 0 29.135 * [backup-simplify]: Simplify (+ 0 0) into 0 29.136 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.136 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 29.136 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 29.136 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 29.136 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 29.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 29.136 * [taylor]: Taking taylor expansion of 1/4 in K 29.136 * [backup-simplify]: Simplify 1/4 into 1/4 29.136 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 29.136 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.136 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.136 * [taylor]: Taking taylor expansion of 1/2 in K 29.136 * [backup-simplify]: Simplify 1/2 into 1/2 29.137 * [taylor]: Taking taylor expansion of K in K 29.137 * [backup-simplify]: Simplify 0 into 0 29.137 * [backup-simplify]: Simplify 1 into 1 29.137 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.138 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.138 * [backup-simplify]: Simplify (/ 1 1) into 1 29.139 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 29.139 * [backup-simplify]: Simplify (- 1/4) into -1/4 29.139 * [backup-simplify]: Simplify -1/4 into -1/4 29.139 * [taylor]: Taking taylor expansion of 0 in K 29.139 * [backup-simplify]: Simplify 0 into 0 29.139 * [backup-simplify]: Simplify 0 into 0 29.140 * [backup-simplify]: Simplify (+ 0) into 0 29.140 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.142 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.142 * [backup-simplify]: Simplify (- 0) into 0 29.143 * [backup-simplify]: Simplify (+ 0 0) into 0 29.149 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.150 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 29.150 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 29.150 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 29.150 * [taylor]: Taking taylor expansion of 2 in K 29.150 * [backup-simplify]: Simplify 2 into 2 29.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.150 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.150 * [taylor]: Taking taylor expansion of 1/2 in K 29.150 * [backup-simplify]: Simplify 1/2 into 1/2 29.150 * [taylor]: Taking taylor expansion of K in K 29.150 * [backup-simplify]: Simplify 0 into 0 29.150 * [backup-simplify]: Simplify 1 into 1 29.150 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.151 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.152 * [backup-simplify]: Simplify (* 2 1) into 2 29.152 * [backup-simplify]: Simplify (- 2) into -2 29.152 * [backup-simplify]: Simplify -2 into -2 29.152 * [backup-simplify]: Simplify 0 into 0 29.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.154 * [backup-simplify]: Simplify (+ 0) into 0 29.154 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.156 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.157 * [backup-simplify]: Simplify (- 0) into 0 29.157 * [backup-simplify]: Simplify (+ 0 0) into 0 29.157 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.157 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 29.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 29.158 * [backup-simplify]: Simplify (+ 0) into 0 29.159 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.161 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.161 * [backup-simplify]: Simplify (- 0) into 0 29.161 * [backup-simplify]: Simplify (+ 0 0) into 0 29.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.162 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 29.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 29.163 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 29.163 * [backup-simplify]: Simplify (+ 0 0) into 0 29.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 29.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 29.166 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.167 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 29.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.170 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.171 * [backup-simplify]: Simplify (- 0) into 0 29.171 * [backup-simplify]: Simplify (+ 0 0) into 0 29.172 * [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 29.173 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 29.173 * [taylor]: Taking taylor expansion of 0 in J 29.173 * [backup-simplify]: Simplify 0 into 0 29.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.177 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.177 * [backup-simplify]: Simplify (- 0) into 0 29.178 * [backup-simplify]: Simplify (+ 0 0) into 0 29.178 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 29.179 * [backup-simplify]: Simplify (- 0) into 0 29.179 * [taylor]: Taking taylor expansion of 0 in K 29.179 * [backup-simplify]: Simplify 0 into 0 29.179 * [backup-simplify]: Simplify 0 into 0 29.179 * [taylor]: Taking taylor expansion of 0 in K 29.179 * [backup-simplify]: Simplify 0 into 0 29.179 * [backup-simplify]: Simplify 0 into 0 29.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.180 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.181 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.182 * [backup-simplify]: Simplify (- 0) into 0 29.182 * [backup-simplify]: Simplify (+ 0 0) into 0 29.182 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.183 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 29.183 * [taylor]: Taking taylor expansion of 0 in K 29.183 * [backup-simplify]: Simplify 0 into 0 29.183 * [backup-simplify]: Simplify 0 into 0 29.183 * [backup-simplify]: Simplify (+ 0) into 0 29.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 29.184 * [backup-simplify]: Simplify (- 0) into 0 29.184 * [backup-simplify]: Simplify 0 into 0 29.184 * [backup-simplify]: Simplify 0 into 0 29.184 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 29.185 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) (* (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 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)) 29.185 * [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 29.185 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 29.185 * [taylor]: Taking taylor expansion of -2 in K 29.185 * [backup-simplify]: Simplify -2 into -2 29.185 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 29.185 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 29.185 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.185 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.185 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 29.185 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.185 * [taylor]: Taking taylor expansion of 1 in K 29.185 * [backup-simplify]: Simplify 1 into 1 29.185 * [taylor]: Taking taylor expansion of 1 in K 29.185 * [backup-simplify]: Simplify 1 into 1 29.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.185 * [taylor]: Taking taylor expansion of 1/2 in K 29.185 * [backup-simplify]: Simplify 1/2 into 1/2 29.185 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.185 * [taylor]: Taking taylor expansion of J in K 29.185 * [backup-simplify]: Simplify J into J 29.185 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.185 * [taylor]: Taking taylor expansion of U in K 29.185 * [backup-simplify]: Simplify U into U 29.185 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.185 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.185 * [taylor]: Taking taylor expansion of 1/2 in K 29.185 * [backup-simplify]: Simplify 1/2 into 1/2 29.185 * [taylor]: Taking taylor expansion of K in K 29.185 * [backup-simplify]: Simplify 0 into 0 29.185 * [backup-simplify]: Simplify 1 into 1 29.186 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.186 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.186 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.186 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.186 * [taylor]: Taking taylor expansion of 1/2 in K 29.186 * [backup-simplify]: Simplify 1/2 into 1/2 29.186 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.186 * [taylor]: Taking taylor expansion of J in K 29.186 * [backup-simplify]: Simplify J into J 29.186 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.186 * [taylor]: Taking taylor expansion of U in K 29.186 * [backup-simplify]: Simplify U into U 29.186 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.186 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.186 * [taylor]: Taking taylor expansion of 1/2 in K 29.186 * [backup-simplify]: Simplify 1/2 into 1/2 29.186 * [taylor]: Taking taylor expansion of K in K 29.186 * [backup-simplify]: Simplify 0 into 0 29.186 * [backup-simplify]: Simplify 1 into 1 29.187 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.187 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.187 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.187 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.187 * [backup-simplify]: Simplify (* 1 1) into 1 29.187 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.187 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.187 * [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)))) 29.188 * [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) 29.188 * [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)) 29.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.188 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.189 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.189 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.189 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.190 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 29.190 * [backup-simplify]: Simplify (+ 0 0) into 0 29.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 29.190 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.190 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.190 * [taylor]: Taking taylor expansion of 1/2 in K 29.190 * [backup-simplify]: Simplify 1/2 into 1/2 29.190 * [taylor]: Taking taylor expansion of K in K 29.190 * [backup-simplify]: Simplify 0 into 0 29.190 * [backup-simplify]: Simplify 1 into 1 29.191 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.191 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.191 * [taylor]: Taking taylor expansion of J in K 29.191 * [backup-simplify]: Simplify J into J 29.191 * [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))) 29.191 * [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)) 29.191 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 29.191 * [taylor]: Taking taylor expansion of -2 in J 29.191 * [backup-simplify]: Simplify -2 into -2 29.191 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 29.191 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 29.191 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.191 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.191 * [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 29.191 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.192 * [taylor]: Taking taylor expansion of 1 in J 29.192 * [backup-simplify]: Simplify 1 into 1 29.192 * [taylor]: Taking taylor expansion of 1 in J 29.192 * [backup-simplify]: Simplify 1 into 1 29.192 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.192 * [taylor]: Taking taylor expansion of 1/2 in J 29.192 * [backup-simplify]: Simplify 1/2 into 1/2 29.192 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.192 * [taylor]: Taking taylor expansion of J in J 29.192 * [backup-simplify]: Simplify 0 into 0 29.192 * [backup-simplify]: Simplify 1 into 1 29.192 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.192 * [taylor]: Taking taylor expansion of U in J 29.192 * [backup-simplify]: Simplify U into U 29.192 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.192 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.192 * [taylor]: Taking taylor expansion of 1/2 in J 29.192 * [backup-simplify]: Simplify 1/2 into 1/2 29.192 * [taylor]: Taking taylor expansion of K in J 29.192 * [backup-simplify]: Simplify K into K 29.192 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.192 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.192 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.192 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.192 * [backup-simplify]: Simplify (- 0) into 0 29.192 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.192 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.192 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.193 * [taylor]: Taking taylor expansion of 1/2 in J 29.193 * [backup-simplify]: Simplify 1/2 into 1/2 29.193 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.193 * [taylor]: Taking taylor expansion of J in J 29.193 * [backup-simplify]: Simplify 0 into 0 29.193 * [backup-simplify]: Simplify 1 into 1 29.193 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.193 * [taylor]: Taking taylor expansion of U in J 29.193 * [backup-simplify]: Simplify U into U 29.193 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.193 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.193 * [taylor]: Taking taylor expansion of 1/2 in J 29.193 * [backup-simplify]: Simplify 1/2 into 1/2 29.193 * [taylor]: Taking taylor expansion of K in J 29.193 * [backup-simplify]: Simplify K into K 29.193 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.193 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.193 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.193 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.193 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.193 * [backup-simplify]: Simplify (- 0) into 0 29.193 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.193 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.193 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.194 * [backup-simplify]: Simplify (* 1 1) into 1 29.194 * [backup-simplify]: Simplify (+ 1 0) into 1 29.194 * [backup-simplify]: Simplify (sqrt 1) into 1 29.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.195 * [backup-simplify]: Simplify (+ 0 0) into 0 29.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.195 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.195 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.195 * [taylor]: Taking taylor expansion of 1/2 in J 29.195 * [backup-simplify]: Simplify 1/2 into 1/2 29.195 * [taylor]: Taking taylor expansion of K in J 29.195 * [backup-simplify]: Simplify K into K 29.195 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.195 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.195 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.195 * [taylor]: Taking taylor expansion of J in J 29.195 * [backup-simplify]: Simplify 0 into 0 29.195 * [backup-simplify]: Simplify 1 into 1 29.196 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.196 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.196 * [backup-simplify]: Simplify (- 0) into 0 29.196 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.196 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 29.196 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.196 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 29.196 * [taylor]: Taking taylor expansion of -2 in U 29.196 * [backup-simplify]: Simplify -2 into -2 29.196 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 29.196 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 29.196 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.196 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.196 * [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 29.196 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.196 * [taylor]: Taking taylor expansion of 1 in U 29.196 * [backup-simplify]: Simplify 1 into 1 29.196 * [taylor]: Taking taylor expansion of 1 in U 29.196 * [backup-simplify]: Simplify 1 into 1 29.196 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.196 * [taylor]: Taking taylor expansion of 1/2 in U 29.196 * [backup-simplify]: Simplify 1/2 into 1/2 29.196 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.196 * [taylor]: Taking taylor expansion of J in U 29.196 * [backup-simplify]: Simplify J into J 29.196 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.196 * [taylor]: Taking taylor expansion of U in U 29.196 * [backup-simplify]: Simplify 0 into 0 29.196 * [backup-simplify]: Simplify 1 into 1 29.196 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.196 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.196 * [taylor]: Taking taylor expansion of 1/2 in U 29.196 * [backup-simplify]: Simplify 1/2 into 1/2 29.196 * [taylor]: Taking taylor expansion of K in U 29.196 * [backup-simplify]: Simplify K into K 29.197 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.197 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.197 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.197 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.197 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.197 * [backup-simplify]: Simplify (- 0) into 0 29.197 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.197 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.197 * [backup-simplify]: Simplify (+ 0) into 0 29.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.198 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.199 * [backup-simplify]: Simplify (- 0) into 0 29.199 * [backup-simplify]: Simplify (+ 0 0) into 0 29.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.199 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.199 * [taylor]: Taking taylor expansion of 1/2 in U 29.199 * [backup-simplify]: Simplify 1/2 into 1/2 29.199 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.199 * [taylor]: Taking taylor expansion of J in U 29.199 * [backup-simplify]: Simplify J into J 29.199 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.199 * [taylor]: Taking taylor expansion of U in U 29.199 * [backup-simplify]: Simplify 0 into 0 29.200 * [backup-simplify]: Simplify 1 into 1 29.200 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.200 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.200 * [taylor]: Taking taylor expansion of 1/2 in U 29.200 * [backup-simplify]: Simplify 1/2 into 1/2 29.200 * [taylor]: Taking taylor expansion of K in U 29.200 * [backup-simplify]: Simplify K into K 29.200 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.200 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.200 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.200 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.200 * [backup-simplify]: Simplify (- 0) into 0 29.200 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.200 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.200 * [backup-simplify]: Simplify (+ 0) into 0 29.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.202 * [backup-simplify]: Simplify (- 0) into 0 29.202 * [backup-simplify]: Simplify (+ 0 0) into 0 29.202 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.202 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.202 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.203 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.203 * [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))) 29.203 * [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))) 29.203 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.204 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.205 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.205 * [backup-simplify]: Simplify (- 0) into 0 29.205 * [backup-simplify]: Simplify (+ 0 0) into 0 29.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.206 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.208 * [backup-simplify]: Simplify (- 0) into 0 29.209 * [backup-simplify]: Simplify (+ 0 0) into 0 29.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.209 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.210 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.210 * [backup-simplify]: Simplify (+ 0 0) into 0 29.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.210 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.210 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.210 * [taylor]: Taking taylor expansion of 1/2 in U 29.211 * [backup-simplify]: Simplify 1/2 into 1/2 29.211 * [taylor]: Taking taylor expansion of K in U 29.211 * [backup-simplify]: Simplify K into K 29.211 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.211 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.211 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.211 * [taylor]: Taking taylor expansion of J in U 29.211 * [backup-simplify]: Simplify J into J 29.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.211 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.211 * [backup-simplify]: Simplify (- 0) into 0 29.211 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.212 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 29.212 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.212 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 29.212 * [taylor]: Taking taylor expansion of -2 in U 29.212 * [backup-simplify]: Simplify -2 into -2 29.212 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 29.212 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 29.212 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.212 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.212 * [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 29.212 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.212 * [taylor]: Taking taylor expansion of 1 in U 29.212 * [backup-simplify]: Simplify 1 into 1 29.212 * [taylor]: Taking taylor expansion of 1 in U 29.212 * [backup-simplify]: Simplify 1 into 1 29.212 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.212 * [taylor]: Taking taylor expansion of 1/2 in U 29.212 * [backup-simplify]: Simplify 1/2 into 1/2 29.212 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.212 * [taylor]: Taking taylor expansion of J in U 29.212 * [backup-simplify]: Simplify J into J 29.212 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.212 * [taylor]: Taking taylor expansion of U in U 29.212 * [backup-simplify]: Simplify 0 into 0 29.212 * [backup-simplify]: Simplify 1 into 1 29.212 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.212 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.212 * [taylor]: Taking taylor expansion of 1/2 in U 29.212 * [backup-simplify]: Simplify 1/2 into 1/2 29.213 * [taylor]: Taking taylor expansion of K in U 29.213 * [backup-simplify]: Simplify K into K 29.213 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.213 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.213 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.213 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.213 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.213 * [backup-simplify]: Simplify (- 0) into 0 29.213 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.214 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.214 * [backup-simplify]: Simplify (+ 0) into 0 29.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.216 * [backup-simplify]: Simplify (- 0) into 0 29.217 * [backup-simplify]: Simplify (+ 0 0) into 0 29.217 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.217 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.217 * [taylor]: Taking taylor expansion of 1/2 in U 29.217 * [backup-simplify]: Simplify 1/2 into 1/2 29.217 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.217 * [taylor]: Taking taylor expansion of J in U 29.217 * [backup-simplify]: Simplify J into J 29.217 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.217 * [taylor]: Taking taylor expansion of U in U 29.217 * [backup-simplify]: Simplify 0 into 0 29.217 * [backup-simplify]: Simplify 1 into 1 29.217 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.218 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.218 * [taylor]: Taking taylor expansion of 1/2 in U 29.218 * [backup-simplify]: Simplify 1/2 into 1/2 29.218 * [taylor]: Taking taylor expansion of K in U 29.218 * [backup-simplify]: Simplify K into K 29.218 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.218 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.218 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.218 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.218 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.218 * [backup-simplify]: Simplify (- 0) into 0 29.218 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.219 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.219 * [backup-simplify]: Simplify (+ 0) into 0 29.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.221 * [backup-simplify]: Simplify (- 0) into 0 29.221 * [backup-simplify]: Simplify (+ 0 0) into 0 29.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.222 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.222 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.222 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.223 * [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))) 29.223 * [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))) 29.223 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.227 * [backup-simplify]: Simplify (- 0) into 0 29.227 * [backup-simplify]: Simplify (+ 0 0) into 0 29.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.229 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.233 * [backup-simplify]: Simplify (- 0) into 0 29.233 * [backup-simplify]: Simplify (+ 0 0) into 0 29.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.234 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.235 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.236 * [backup-simplify]: Simplify (+ 0 0) into 0 29.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.236 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.236 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.236 * [taylor]: Taking taylor expansion of 1/2 in U 29.236 * [backup-simplify]: Simplify 1/2 into 1/2 29.236 * [taylor]: Taking taylor expansion of K in U 29.236 * [backup-simplify]: Simplify K into K 29.236 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.236 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.236 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.236 * [taylor]: Taking taylor expansion of J in U 29.236 * [backup-simplify]: Simplify J into J 29.236 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.237 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.237 * [backup-simplify]: Simplify (- 0) into 0 29.237 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.237 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 29.237 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.238 * [backup-simplify]: Simplify (* -2 1/2) into -1 29.238 * [taylor]: Taking taylor expansion of -1 in J 29.238 * [backup-simplify]: Simplify -1 into -1 29.238 * [backup-simplify]: Simplify (+ 0) into 0 29.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.241 * [backup-simplify]: Simplify (- 0) into 0 29.241 * [backup-simplify]: Simplify (+ 0 0) into 0 29.241 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 29.242 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 29.242 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 29.242 * [taylor]: Taking taylor expansion of 0 in J 29.242 * [backup-simplify]: Simplify 0 into 0 29.242 * [taylor]: Taking taylor expansion of -1 in K 29.242 * [backup-simplify]: Simplify -1 into -1 29.242 * [backup-simplify]: Simplify -1 into -1 29.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.244 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.245 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.247 * [backup-simplify]: Simplify (- 0) into 0 29.247 * [backup-simplify]: Simplify (+ 0 0) into 0 29.247 * [backup-simplify]: Simplify (* 1 1) into 1 29.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.252 * [backup-simplify]: Simplify (- 0) into 0 29.253 * [backup-simplify]: Simplify (+ 0 0) into 0 29.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.254 * [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 29.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.257 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.260 * [backup-simplify]: Simplify (- 0) into 0 29.260 * [backup-simplify]: Simplify (+ 0 0) into 0 29.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.262 * [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 29.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.263 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 29.264 * [backup-simplify]: Simplify (+ 1 0) into 1 29.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 29.265 * [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) 29.266 * [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)) 29.267 * [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)))) 29.267 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 29.267 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 29.267 * [taylor]: Taking taylor expansion of 2 in J 29.267 * [backup-simplify]: Simplify 2 into 2 29.267 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 29.267 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 29.267 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.267 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.267 * [taylor]: Taking taylor expansion of 1/2 in J 29.267 * [backup-simplify]: Simplify 1/2 into 1/2 29.267 * [taylor]: Taking taylor expansion of K in J 29.267 * [backup-simplify]: Simplify K into K 29.267 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.267 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.267 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.268 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.268 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.268 * [backup-simplify]: Simplify (- 0) into 0 29.268 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.268 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.268 * [taylor]: Taking taylor expansion of J in J 29.268 * [backup-simplify]: Simplify 0 into 0 29.268 * [backup-simplify]: Simplify 1 into 1 29.268 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 29.269 * [backup-simplify]: Simplify (* 1 1) into 1 29.269 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 29.269 * [backup-simplify]: Simplify (+ 0) into 0 29.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.270 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.272 * [backup-simplify]: Simplify (- 0) into 0 29.272 * [backup-simplify]: Simplify (+ 0 0) into 0 29.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 29.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 29.275 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 29.275 * [backup-simplify]: Simplify (- 0) into 0 29.275 * [taylor]: Taking taylor expansion of 0 in K 29.275 * [backup-simplify]: Simplify 0 into 0 29.275 * [backup-simplify]: Simplify 0 into 0 29.275 * [taylor]: Taking taylor expansion of 0 in K 29.275 * [backup-simplify]: Simplify 0 into 0 29.275 * [backup-simplify]: Simplify 0 into 0 29.275 * [taylor]: Taking taylor expansion of 0 in K 29.276 * [backup-simplify]: Simplify 0 into 0 29.276 * [backup-simplify]: Simplify 0 into 0 29.276 * [backup-simplify]: Simplify 0 into 0 29.282 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.284 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.286 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.287 * [backup-simplify]: Simplify (- 0) into 0 29.287 * [backup-simplify]: Simplify (+ 0 0) into 0 29.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.290 * [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 29.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.294 * [backup-simplify]: Simplify (- 0) into 0 29.295 * [backup-simplify]: Simplify (+ 0 0) into 0 29.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 29.297 * [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 29.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 29.301 * [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 29.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.302 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.303 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.304 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.305 * [backup-simplify]: Simplify (- 0) into 0 29.305 * [backup-simplify]: Simplify (+ 0 0) into 0 29.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 29.307 * [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 29.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 29.310 * [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 29.310 * [backup-simplify]: Simplify (+ 0 0) into 0 29.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.311 * [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 29.311 * [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 29.312 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 29.312 * [taylor]: Taking taylor expansion of 0 in J 29.312 * [backup-simplify]: Simplify 0 into 0 29.312 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.313 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.313 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.313 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.314 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.314 * [backup-simplify]: Simplify (- 0) into 0 29.314 * [backup-simplify]: Simplify (+ 0 0) into 0 29.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 29.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 29.317 * [backup-simplify]: Simplify (- 0) into 0 29.317 * [taylor]: Taking taylor expansion of 0 in K 29.317 * [backup-simplify]: Simplify 0 into 0 29.317 * [backup-simplify]: Simplify 0 into 0 29.317 * [taylor]: Taking taylor expansion of 0 in K 29.317 * [backup-simplify]: Simplify 0 into 0 29.317 * [backup-simplify]: Simplify 0 into 0 29.317 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 29.317 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 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)) 29.317 * [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 29.317 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 29.317 * [taylor]: Taking taylor expansion of 2 in K 29.317 * [backup-simplify]: Simplify 2 into 2 29.317 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 29.317 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.317 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.317 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.317 * [taylor]: Taking taylor expansion of -1/2 in K 29.317 * [backup-simplify]: Simplify -1/2 into -1/2 29.317 * [taylor]: Taking taylor expansion of K in K 29.317 * [backup-simplify]: Simplify 0 into 0 29.317 * [backup-simplify]: Simplify 1 into 1 29.318 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.318 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.318 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.318 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.318 * [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 29.318 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.318 * [taylor]: Taking taylor expansion of 1 in K 29.318 * [backup-simplify]: Simplify 1 into 1 29.318 * [taylor]: Taking taylor expansion of 1 in K 29.318 * [backup-simplify]: Simplify 1 into 1 29.318 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.318 * [taylor]: Taking taylor expansion of 1/2 in K 29.318 * [backup-simplify]: Simplify 1/2 into 1/2 29.318 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.318 * [taylor]: Taking taylor expansion of J in K 29.318 * [backup-simplify]: Simplify J into J 29.318 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.318 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.318 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.318 * [taylor]: Taking taylor expansion of -1/2 in K 29.318 * [backup-simplify]: Simplify -1/2 into -1/2 29.318 * [taylor]: Taking taylor expansion of K in K 29.318 * [backup-simplify]: Simplify 0 into 0 29.318 * [backup-simplify]: Simplify 1 into 1 29.318 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.318 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.318 * [taylor]: Taking taylor expansion of U in K 29.319 * [backup-simplify]: Simplify U into U 29.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.319 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.319 * [taylor]: Taking taylor expansion of 1/2 in K 29.319 * [backup-simplify]: Simplify 1/2 into 1/2 29.319 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.319 * [taylor]: Taking taylor expansion of J in K 29.319 * [backup-simplify]: Simplify J into J 29.319 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.319 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.319 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.319 * [taylor]: Taking taylor expansion of -1/2 in K 29.319 * [backup-simplify]: Simplify -1/2 into -1/2 29.319 * [taylor]: Taking taylor expansion of K in K 29.319 * [backup-simplify]: Simplify 0 into 0 29.319 * [backup-simplify]: Simplify 1 into 1 29.319 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.319 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.319 * [taylor]: Taking taylor expansion of U in K 29.319 * [backup-simplify]: Simplify U into U 29.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.319 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.320 * [backup-simplify]: Simplify (* 1 1) into 1 29.320 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.320 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.320 * [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)))) 29.320 * [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))))) 29.320 * [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)))))) 29.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.321 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.321 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.322 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.322 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 29.322 * [backup-simplify]: Simplify (+ 0 0) into 0 29.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 29.323 * [taylor]: Taking taylor expansion of J in K 29.323 * [backup-simplify]: Simplify J into J 29.323 * [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))))))) 29.323 * [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))))))) 29.323 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 29.323 * [taylor]: Taking taylor expansion of 2 in J 29.323 * [backup-simplify]: Simplify 2 into 2 29.323 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 29.323 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.323 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.323 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.323 * [taylor]: Taking taylor expansion of -1/2 in J 29.323 * [backup-simplify]: Simplify -1/2 into -1/2 29.323 * [taylor]: Taking taylor expansion of K in J 29.323 * [backup-simplify]: Simplify K into K 29.324 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.324 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.324 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.324 * [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 29.324 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.324 * [taylor]: Taking taylor expansion of 1 in J 29.324 * [backup-simplify]: Simplify 1 into 1 29.324 * [taylor]: Taking taylor expansion of 1 in J 29.324 * [backup-simplify]: Simplify 1 into 1 29.324 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.324 * [taylor]: Taking taylor expansion of 1/2 in J 29.324 * [backup-simplify]: Simplify 1/2 into 1/2 29.324 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.324 * [taylor]: Taking taylor expansion of J in J 29.324 * [backup-simplify]: Simplify 0 into 0 29.324 * [backup-simplify]: Simplify 1 into 1 29.324 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.324 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.324 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.324 * [taylor]: Taking taylor expansion of -1/2 in J 29.324 * [backup-simplify]: Simplify -1/2 into -1/2 29.324 * [taylor]: Taking taylor expansion of K in J 29.324 * [backup-simplify]: Simplify K into K 29.324 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.324 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.324 * [taylor]: Taking taylor expansion of U in J 29.324 * [backup-simplify]: Simplify U into U 29.324 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.324 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.325 * [backup-simplify]: Simplify (- 0) into 0 29.325 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.325 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.325 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.325 * [taylor]: Taking taylor expansion of 1/2 in J 29.325 * [backup-simplify]: Simplify 1/2 into 1/2 29.325 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.325 * [taylor]: Taking taylor expansion of J in J 29.325 * [backup-simplify]: Simplify 0 into 0 29.325 * [backup-simplify]: Simplify 1 into 1 29.325 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.325 * [taylor]: Taking taylor expansion of -1/2 in J 29.325 * [backup-simplify]: Simplify -1/2 into -1/2 29.325 * [taylor]: Taking taylor expansion of K in J 29.325 * [backup-simplify]: Simplify K into K 29.325 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.325 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.325 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.325 * [taylor]: Taking taylor expansion of U in J 29.325 * [backup-simplify]: Simplify U into U 29.325 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.325 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.325 * [backup-simplify]: Simplify (- 0) into 0 29.325 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.326 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.326 * [backup-simplify]: Simplify (* 1 1) into 1 29.326 * [backup-simplify]: Simplify (+ 1 0) into 1 29.326 * [backup-simplify]: Simplify (sqrt 1) into 1 29.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.327 * [backup-simplify]: Simplify (+ 0 0) into 0 29.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.327 * [taylor]: Taking taylor expansion of J in J 29.327 * [backup-simplify]: Simplify 0 into 0 29.327 * [backup-simplify]: Simplify 1 into 1 29.327 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.328 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.328 * [backup-simplify]: Simplify (- 0) into 0 29.328 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.328 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.328 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.328 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.328 * [taylor]: Taking taylor expansion of 2 in U 29.328 * [backup-simplify]: Simplify 2 into 2 29.328 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.328 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.328 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.328 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.328 * [taylor]: Taking taylor expansion of -1/2 in U 29.328 * [backup-simplify]: Simplify -1/2 into -1/2 29.328 * [taylor]: Taking taylor expansion of K in U 29.328 * [backup-simplify]: Simplify K into K 29.328 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.328 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.328 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.328 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.328 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.328 * [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 29.328 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.328 * [taylor]: Taking taylor expansion of 1 in U 29.328 * [backup-simplify]: Simplify 1 into 1 29.328 * [taylor]: Taking taylor expansion of 1 in U 29.328 * [backup-simplify]: Simplify 1 into 1 29.328 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.328 * [taylor]: Taking taylor expansion of 1/2 in U 29.328 * [backup-simplify]: Simplify 1/2 into 1/2 29.328 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.329 * [taylor]: Taking taylor expansion of J in U 29.329 * [backup-simplify]: Simplify J into J 29.329 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.329 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.329 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.329 * [taylor]: Taking taylor expansion of -1/2 in U 29.329 * [backup-simplify]: Simplify -1/2 into -1/2 29.329 * [taylor]: Taking taylor expansion of K in U 29.329 * [backup-simplify]: Simplify K into K 29.329 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.329 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.329 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.329 * [taylor]: Taking taylor expansion of U in U 29.329 * [backup-simplify]: Simplify 0 into 0 29.329 * [backup-simplify]: Simplify 1 into 1 29.329 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.329 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.329 * [backup-simplify]: Simplify (- 0) into 0 29.329 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.329 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.330 * [backup-simplify]: Simplify (+ 0) into 0 29.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.331 * [backup-simplify]: Simplify (- 0) into 0 29.331 * [backup-simplify]: Simplify (+ 0 0) into 0 29.331 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.331 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.332 * [taylor]: Taking taylor expansion of 1/2 in U 29.332 * [backup-simplify]: Simplify 1/2 into 1/2 29.332 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.332 * [taylor]: Taking taylor expansion of J in U 29.332 * [backup-simplify]: Simplify J into J 29.332 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.332 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.332 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.332 * [taylor]: Taking taylor expansion of -1/2 in U 29.332 * [backup-simplify]: Simplify -1/2 into -1/2 29.332 * [taylor]: Taking taylor expansion of K in U 29.332 * [backup-simplify]: Simplify K into K 29.332 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.332 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.332 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.332 * [taylor]: Taking taylor expansion of U in U 29.332 * [backup-simplify]: Simplify 0 into 0 29.332 * [backup-simplify]: Simplify 1 into 1 29.332 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.332 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.332 * [backup-simplify]: Simplify (- 0) into 0 29.332 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.332 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.333 * [backup-simplify]: Simplify (+ 0) into 0 29.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.333 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.334 * [backup-simplify]: Simplify (- 0) into 0 29.334 * [backup-simplify]: Simplify (+ 0 0) into 0 29.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.335 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.335 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.335 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.335 * [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))) 29.335 * [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))) 29.335 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.337 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.337 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.338 * [backup-simplify]: Simplify (- 0) into 0 29.338 * [backup-simplify]: Simplify (+ 0 0) into 0 29.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.338 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.340 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.341 * [backup-simplify]: Simplify (- 0) into 0 29.341 * [backup-simplify]: Simplify (+ 0 0) into 0 29.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.342 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.342 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.343 * [backup-simplify]: Simplify (+ 0 0) into 0 29.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.343 * [taylor]: Taking taylor expansion of J in U 29.343 * [backup-simplify]: Simplify J into J 29.343 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.343 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.344 * [backup-simplify]: Simplify (- 0) into 0 29.344 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.344 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.344 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.344 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 29.344 * [taylor]: Taking taylor expansion of 2 in U 29.344 * [backup-simplify]: Simplify 2 into 2 29.344 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 29.344 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.344 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.344 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.344 * [taylor]: Taking taylor expansion of -1/2 in U 29.344 * [backup-simplify]: Simplify -1/2 into -1/2 29.344 * [taylor]: Taking taylor expansion of K in U 29.344 * [backup-simplify]: Simplify K into K 29.344 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.344 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.344 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.344 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.345 * [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 29.345 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.345 * [taylor]: Taking taylor expansion of 1 in U 29.345 * [backup-simplify]: Simplify 1 into 1 29.345 * [taylor]: Taking taylor expansion of 1 in U 29.345 * [backup-simplify]: Simplify 1 into 1 29.345 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.345 * [taylor]: Taking taylor expansion of 1/2 in U 29.345 * [backup-simplify]: Simplify 1/2 into 1/2 29.345 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.345 * [taylor]: Taking taylor expansion of J in U 29.345 * [backup-simplify]: Simplify J into J 29.345 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.345 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.345 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.345 * [taylor]: Taking taylor expansion of -1/2 in U 29.345 * [backup-simplify]: Simplify -1/2 into -1/2 29.345 * [taylor]: Taking taylor expansion of K in U 29.345 * [backup-simplify]: Simplify K into K 29.345 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.345 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.345 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.345 * [taylor]: Taking taylor expansion of U in U 29.345 * [backup-simplify]: Simplify 0 into 0 29.345 * [backup-simplify]: Simplify 1 into 1 29.345 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.345 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.346 * [backup-simplify]: Simplify (- 0) into 0 29.346 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.346 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.346 * [backup-simplify]: Simplify (+ 0) into 0 29.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.347 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.348 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.349 * [backup-simplify]: Simplify (- 0) into 0 29.349 * [backup-simplify]: Simplify (+ 0 0) into 0 29.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.350 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.350 * [taylor]: Taking taylor expansion of 1/2 in U 29.350 * [backup-simplify]: Simplify 1/2 into 1/2 29.350 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.350 * [taylor]: Taking taylor expansion of J in U 29.350 * [backup-simplify]: Simplify J into J 29.350 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.350 * [taylor]: Taking taylor expansion of -1/2 in U 29.350 * [backup-simplify]: Simplify -1/2 into -1/2 29.350 * [taylor]: Taking taylor expansion of K in U 29.350 * [backup-simplify]: Simplify K into K 29.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.350 * [taylor]: Taking taylor expansion of U in U 29.350 * [backup-simplify]: Simplify 0 into 0 29.350 * [backup-simplify]: Simplify 1 into 1 29.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.351 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.351 * [backup-simplify]: Simplify (- 0) into 0 29.351 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.352 * [backup-simplify]: Simplify (+ 0) into 0 29.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.354 * [backup-simplify]: Simplify (- 0) into 0 29.355 * [backup-simplify]: Simplify (+ 0 0) into 0 29.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.355 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.355 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.356 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.356 * [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))) 29.356 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 29.356 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.360 * [backup-simplify]: Simplify (- 0) into 0 29.360 * [backup-simplify]: Simplify (+ 0 0) into 0 29.361 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.361 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.363 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.363 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.364 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.364 * [backup-simplify]: Simplify (- 0) into 0 29.364 * [backup-simplify]: Simplify (+ 0 0) into 0 29.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.365 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.365 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.366 * [backup-simplify]: Simplify (+ 0 0) into 0 29.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.366 * [taylor]: Taking taylor expansion of J in U 29.366 * [backup-simplify]: Simplify J into J 29.366 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.366 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.366 * [backup-simplify]: Simplify (- 0) into 0 29.366 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.366 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 29.367 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 29.367 * [backup-simplify]: Simplify (* 2 1/2) into 1 29.367 * [taylor]: Taking taylor expansion of 1 in J 29.367 * [backup-simplify]: Simplify 1 into 1 29.367 * [backup-simplify]: Simplify (+ 0) into 0 29.368 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.368 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.369 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.369 * [backup-simplify]: Simplify (- 0) into 0 29.369 * [backup-simplify]: Simplify (+ 0 0) into 0 29.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.369 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 29.370 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 29.370 * [taylor]: Taking taylor expansion of 0 in J 29.370 * [backup-simplify]: Simplify 0 into 0 29.370 * [taylor]: Taking taylor expansion of 1 in K 29.370 * [backup-simplify]: Simplify 1 into 1 29.370 * [backup-simplify]: Simplify 1 into 1 29.370 * [backup-simplify]: Simplify (* 1 1) into 1 29.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.373 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.373 * [backup-simplify]: Simplify (- 0) into 0 29.373 * [backup-simplify]: Simplify (+ 0 0) into 0 29.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.374 * [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 29.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.376 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.377 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.377 * [backup-simplify]: Simplify (- 0) into 0 29.377 * [backup-simplify]: Simplify (+ 0 0) into 0 29.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.378 * [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 29.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.379 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 29.379 * [backup-simplify]: Simplify (+ 1 0) into 1 29.380 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 29.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.382 * [backup-simplify]: Simplify (- 0) into 0 29.382 * [backup-simplify]: Simplify (+ 0 0) into 0 29.382 * [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) 29.383 * [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)) 29.383 * [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))) 29.383 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 29.383 * [taylor]: Taking taylor expansion of 2 in J 29.383 * [backup-simplify]: Simplify 2 into 2 29.383 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 29.383 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 29.383 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.383 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.383 * [taylor]: Taking taylor expansion of -1/2 in J 29.383 * [backup-simplify]: Simplify -1/2 into -1/2 29.383 * [taylor]: Taking taylor expansion of K in J 29.383 * [backup-simplify]: Simplify K into K 29.383 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.383 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.383 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.383 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.383 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.384 * [backup-simplify]: Simplify (- 0) into 0 29.384 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.384 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.384 * [taylor]: Taking taylor expansion of J in J 29.384 * [backup-simplify]: Simplify 0 into 0 29.384 * [backup-simplify]: Simplify 1 into 1 29.384 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.384 * [backup-simplify]: Simplify (* 1 1) into 1 29.384 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 29.385 * [backup-simplify]: Simplify (+ 0) into 0 29.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.385 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.386 * [backup-simplify]: Simplify (- 0) into 0 29.386 * [backup-simplify]: Simplify (+ 0 0) into 0 29.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 29.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 29.387 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 29.388 * [taylor]: Taking taylor expansion of 0 in K 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [taylor]: Taking taylor expansion of 0 in K 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [taylor]: Taking taylor expansion of 0 in K 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.395 * [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 29.397 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.397 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.399 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.400 * [backup-simplify]: Simplify (- 0) into 0 29.400 * [backup-simplify]: Simplify (+ 0 0) into 0 29.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 29.402 * [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 29.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 29.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 29.407 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.407 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.409 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 29.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 29.410 * [backup-simplify]: Simplify (- 0) into 0 29.411 * [backup-simplify]: Simplify (+ 0 0) into 0 29.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 29.412 * [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 29.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 29.415 * [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 29.415 * [backup-simplify]: Simplify (+ 0 0) into 0 29.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.419 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.420 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.420 * [backup-simplify]: Simplify (- 0) into 0 29.420 * [backup-simplify]: Simplify (+ 0 0) into 0 29.421 * [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 29.422 * [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 29.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 29.423 * [taylor]: Taking taylor expansion of 0 in J 29.423 * [backup-simplify]: Simplify 0 into 0 29.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.425 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.426 * [backup-simplify]: Simplify (- 0) into 0 29.427 * [backup-simplify]: Simplify (+ 0 0) into 0 29.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 29.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 29.429 * [taylor]: Taking taylor expansion of 0 in K 29.429 * [backup-simplify]: Simplify 0 into 0 29.429 * [backup-simplify]: Simplify 0 into 0 29.429 * [taylor]: Taking taylor expansion of 0 in K 29.429 * [backup-simplify]: Simplify 0 into 0 29.429 * [backup-simplify]: Simplify 0 into 0 29.429 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 29.429 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 29.429 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) 29.429 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in (U J K) around 0 29.430 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in K 29.430 * [taylor]: Taking taylor expansion of -2 in K 29.430 * [backup-simplify]: Simplify -2 into -2 29.430 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in K 29.430 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.430 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.430 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.430 * [taylor]: Taking taylor expansion of 1/2 in K 29.430 * [backup-simplify]: Simplify 1/2 into 1/2 29.430 * [taylor]: Taking taylor expansion of K in K 29.430 * [backup-simplify]: Simplify 0 into 0 29.430 * [backup-simplify]: Simplify 1 into 1 29.430 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.430 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.430 * [taylor]: Taking taylor expansion of J in K 29.430 * [backup-simplify]: Simplify J into J 29.430 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 29.430 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.431 * [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 29.431 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.431 * [taylor]: Taking taylor expansion of 1 in K 29.431 * [backup-simplify]: Simplify 1 into 1 29.431 * [taylor]: Taking taylor expansion of 1 in K 29.431 * [backup-simplify]: Simplify 1 into 1 29.431 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 29.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.431 * [taylor]: Taking taylor expansion of 1/2 in K 29.431 * [backup-simplify]: Simplify 1/2 into 1/2 29.431 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.431 * [taylor]: Taking taylor expansion of U in K 29.431 * [backup-simplify]: Simplify U into U 29.431 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.431 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.431 * [taylor]: Taking taylor expansion of 1/2 in K 29.431 * [backup-simplify]: Simplify 1/2 into 1/2 29.431 * [taylor]: Taking taylor expansion of K in K 29.431 * [backup-simplify]: Simplify 0 into 0 29.431 * [backup-simplify]: Simplify 1 into 1 29.431 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.432 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.432 * [taylor]: Taking taylor expansion of J in K 29.432 * [backup-simplify]: Simplify J into J 29.432 * [backup-simplify]: Simplify (* 1 J) into J 29.432 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 29.432 * [taylor]: Taking taylor expansion of 1/2 in K 29.432 * [backup-simplify]: Simplify 1/2 into 1/2 29.432 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 29.432 * [taylor]: Taking taylor expansion of U in K 29.432 * [backup-simplify]: Simplify U into U 29.432 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 29.432 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.432 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.432 * [taylor]: Taking taylor expansion of 1/2 in K 29.432 * [backup-simplify]: Simplify 1/2 into 1/2 29.432 * [taylor]: Taking taylor expansion of K in K 29.432 * [backup-simplify]: Simplify 0 into 0 29.432 * [backup-simplify]: Simplify 1 into 1 29.432 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.433 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.433 * [taylor]: Taking taylor expansion of J in K 29.433 * [backup-simplify]: Simplify J into J 29.433 * [backup-simplify]: Simplify (* 1 J) into J 29.433 * [backup-simplify]: Simplify (/ U J) into (/ U J) 29.433 * [backup-simplify]: Simplify (* 1 1) into 1 29.433 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.433 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 29.433 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 29.433 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 29.434 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 29.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.434 * [backup-simplify]: Simplify (+ 0) into 0 29.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.435 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.435 * [backup-simplify]: Simplify (+ 0) into 0 29.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 29.436 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 29.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 29.436 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 29.436 * [backup-simplify]: Simplify (+ 0 0) into 0 29.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 29.437 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 29.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 29.437 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in J 29.437 * [taylor]: Taking taylor expansion of -2 in J 29.437 * [backup-simplify]: Simplify -2 into -2 29.437 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in J 29.437 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.437 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.437 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.437 * [taylor]: Taking taylor expansion of 1/2 in J 29.437 * [backup-simplify]: Simplify 1/2 into 1/2 29.437 * [taylor]: Taking taylor expansion of K in J 29.437 * [backup-simplify]: Simplify K into K 29.437 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.437 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.437 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.437 * [taylor]: Taking taylor expansion of J in J 29.437 * [backup-simplify]: Simplify 0 into 0 29.437 * [backup-simplify]: Simplify 1 into 1 29.437 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 29.437 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.437 * [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 29.437 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.437 * [taylor]: Taking taylor expansion of 1 in J 29.437 * [backup-simplify]: Simplify 1 into 1 29.437 * [taylor]: Taking taylor expansion of 1 in J 29.437 * [backup-simplify]: Simplify 1 into 1 29.437 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 29.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.437 * [taylor]: Taking taylor expansion of 1/2 in J 29.437 * [backup-simplify]: Simplify 1/2 into 1/2 29.437 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.437 * [taylor]: Taking taylor expansion of U in J 29.437 * [backup-simplify]: Simplify U into U 29.437 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.437 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.437 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.437 * [taylor]: Taking taylor expansion of 1/2 in J 29.437 * [backup-simplify]: Simplify 1/2 into 1/2 29.437 * [taylor]: Taking taylor expansion of K in J 29.437 * [backup-simplify]: Simplify K into K 29.437 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.438 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.438 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.438 * [taylor]: Taking taylor expansion of J in J 29.438 * [backup-simplify]: Simplify 0 into 0 29.438 * [backup-simplify]: Simplify 1 into 1 29.438 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.438 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.438 * [backup-simplify]: Simplify (- 0) into 0 29.438 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.438 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.438 * [backup-simplify]: Simplify (+ 0) into 0 29.439 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.440 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.440 * [backup-simplify]: Simplify (- 0) into 0 29.440 * [backup-simplify]: Simplify (+ 0 0) into 0 29.440 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.441 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 29.441 * [taylor]: Taking taylor expansion of 1/2 in J 29.441 * [backup-simplify]: Simplify 1/2 into 1/2 29.441 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 29.441 * [taylor]: Taking taylor expansion of U in J 29.441 * [backup-simplify]: Simplify U into U 29.441 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.441 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.441 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.441 * [taylor]: Taking taylor expansion of 1/2 in J 29.441 * [backup-simplify]: Simplify 1/2 into 1/2 29.441 * [taylor]: Taking taylor expansion of K in J 29.441 * [backup-simplify]: Simplify K into K 29.441 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.441 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.441 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.441 * [taylor]: Taking taylor expansion of J in J 29.441 * [backup-simplify]: Simplify 0 into 0 29.441 * [backup-simplify]: Simplify 1 into 1 29.441 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.441 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.441 * [backup-simplify]: Simplify (- 0) into 0 29.441 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.441 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.442 * [backup-simplify]: Simplify (+ 0) into 0 29.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.443 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.443 * [backup-simplify]: Simplify (- 0) into 0 29.443 * [backup-simplify]: Simplify (+ 0 0) into 0 29.444 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.444 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 29.444 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.444 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.444 * [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))) 29.444 * [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))) 29.444 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 29.445 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.445 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.447 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.447 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.447 * [backup-simplify]: Simplify (- 0) into 0 29.448 * [backup-simplify]: Simplify (+ 0 0) into 0 29.448 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.448 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.450 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.452 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.452 * [backup-simplify]: Simplify (- 0) into 0 29.453 * [backup-simplify]: Simplify (+ 0 0) into 0 29.453 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.454 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 29.454 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 29.455 * [backup-simplify]: Simplify (+ 0 0) into 0 29.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 29.456 * [backup-simplify]: Simplify (sqrt 0) into 0 29.456 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 29.456 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in U 29.456 * [taylor]: Taking taylor expansion of -2 in U 29.456 * [backup-simplify]: Simplify -2 into -2 29.456 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 29.456 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.456 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.456 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.456 * [taylor]: Taking taylor expansion of 1/2 in U 29.456 * [backup-simplify]: Simplify 1/2 into 1/2 29.456 * [taylor]: Taking taylor expansion of K in U 29.456 * [backup-simplify]: Simplify K into K 29.457 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.457 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.457 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.457 * [taylor]: Taking taylor expansion of J in U 29.457 * [backup-simplify]: Simplify J into J 29.457 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 29.457 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.457 * [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 29.457 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.457 * [taylor]: Taking taylor expansion of 1 in U 29.457 * [backup-simplify]: Simplify 1 into 1 29.457 * [taylor]: Taking taylor expansion of 1 in U 29.457 * [backup-simplify]: Simplify 1 into 1 29.457 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.457 * [taylor]: Taking taylor expansion of 1/2 in U 29.457 * [backup-simplify]: Simplify 1/2 into 1/2 29.457 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.457 * [taylor]: Taking taylor expansion of U in U 29.457 * [backup-simplify]: Simplify 0 into 0 29.457 * [backup-simplify]: Simplify 1 into 1 29.457 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.457 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.457 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.457 * [taylor]: Taking taylor expansion of 1/2 in U 29.457 * [backup-simplify]: Simplify 1/2 into 1/2 29.457 * [taylor]: Taking taylor expansion of K in U 29.457 * [backup-simplify]: Simplify K into K 29.457 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.458 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.458 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.458 * [taylor]: Taking taylor expansion of J in U 29.458 * [backup-simplify]: Simplify J into J 29.458 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.458 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.458 * [backup-simplify]: Simplify (- 0) into 0 29.458 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.458 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.459 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.459 * [taylor]: Taking taylor expansion of 1/2 in U 29.459 * [backup-simplify]: Simplify 1/2 into 1/2 29.459 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.459 * [taylor]: Taking taylor expansion of U in U 29.459 * [backup-simplify]: Simplify 0 into 0 29.459 * [backup-simplify]: Simplify 1 into 1 29.459 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.459 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.459 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.459 * [taylor]: Taking taylor expansion of 1/2 in U 29.459 * [backup-simplify]: Simplify 1/2 into 1/2 29.459 * [taylor]: Taking taylor expansion of K in U 29.459 * [backup-simplify]: Simplify K into K 29.459 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.459 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.459 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.459 * [taylor]: Taking taylor expansion of J in U 29.459 * [backup-simplify]: Simplify J into J 29.459 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.459 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.460 * [backup-simplify]: Simplify (- 0) into 0 29.460 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.460 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.460 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.460 * [backup-simplify]: Simplify (* 1 1) into 1 29.461 * [backup-simplify]: Simplify (+ 1 0) into 1 29.461 * [backup-simplify]: Simplify (sqrt 1) into 1 29.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.462 * [backup-simplify]: Simplify (+ 0 0) into 0 29.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.463 * [backup-simplify]: Simplify (sqrt 1) into 1 29.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.464 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in U 29.464 * [taylor]: Taking taylor expansion of -2 in U 29.464 * [backup-simplify]: Simplify -2 into -2 29.464 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 29.464 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.464 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.464 * [taylor]: Taking taylor expansion of 1/2 in U 29.464 * [backup-simplify]: Simplify 1/2 into 1/2 29.464 * [taylor]: Taking taylor expansion of K in U 29.464 * [backup-simplify]: Simplify K into K 29.465 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.465 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.465 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.465 * [taylor]: Taking taylor expansion of J in U 29.465 * [backup-simplify]: Simplify J into J 29.465 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 29.465 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.465 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 29.465 * [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 29.465 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.465 * [taylor]: Taking taylor expansion of 1 in U 29.465 * [backup-simplify]: Simplify 1 into 1 29.465 * [taylor]: Taking taylor expansion of 1 in U 29.465 * [backup-simplify]: Simplify 1 into 1 29.465 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 29.465 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.465 * [taylor]: Taking taylor expansion of 1/2 in U 29.465 * [backup-simplify]: Simplify 1/2 into 1/2 29.465 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.465 * [taylor]: Taking taylor expansion of U in U 29.465 * [backup-simplify]: Simplify 0 into 0 29.465 * [backup-simplify]: Simplify 1 into 1 29.465 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.465 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.465 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.465 * [taylor]: Taking taylor expansion of 1/2 in U 29.465 * [backup-simplify]: Simplify 1/2 into 1/2 29.465 * [taylor]: Taking taylor expansion of K in U 29.465 * [backup-simplify]: Simplify K into K 29.465 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.465 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.466 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.466 * [taylor]: Taking taylor expansion of J in U 29.466 * [backup-simplify]: Simplify J into J 29.466 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.466 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.466 * [backup-simplify]: Simplify (- 0) into 0 29.466 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.466 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.466 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 29.467 * [taylor]: Taking taylor expansion of 1/2 in U 29.467 * [backup-simplify]: Simplify 1/2 into 1/2 29.467 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 29.467 * [taylor]: Taking taylor expansion of U in U 29.467 * [backup-simplify]: Simplify 0 into 0 29.467 * [backup-simplify]: Simplify 1 into 1 29.467 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 29.467 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 29.467 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 29.467 * [taylor]: Taking taylor expansion of 1/2 in U 29.467 * [backup-simplify]: Simplify 1/2 into 1/2 29.467 * [taylor]: Taking taylor expansion of K in U 29.467 * [backup-simplify]: Simplify K into K 29.467 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.467 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.467 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.467 * [taylor]: Taking taylor expansion of J in U 29.467 * [backup-simplify]: Simplify J into J 29.467 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.467 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.468 * [backup-simplify]: Simplify (- 0) into 0 29.468 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.468 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.468 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 29.468 * [backup-simplify]: Simplify (* 1 1) into 1 29.469 * [backup-simplify]: Simplify (+ 1 0) into 1 29.469 * [backup-simplify]: Simplify (sqrt 1) into 1 29.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.470 * [backup-simplify]: Simplify (+ 0 0) into 0 29.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.471 * [backup-simplify]: Simplify (sqrt 1) into 1 29.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.472 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.472 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.473 * [backup-simplify]: Simplify (- 0) into 0 29.473 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 29.473 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 29.473 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 29.473 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 29.473 * [taylor]: Taking taylor expansion of -2 in J 29.473 * [backup-simplify]: Simplify -2 into -2 29.473 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.473 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.473 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.473 * [taylor]: Taking taylor expansion of 1/2 in J 29.473 * [backup-simplify]: Simplify 1/2 into 1/2 29.473 * [taylor]: Taking taylor expansion of K in J 29.473 * [backup-simplify]: Simplify K into K 29.473 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.473 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.474 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.474 * [taylor]: Taking taylor expansion of J in J 29.474 * [backup-simplify]: Simplify 0 into 0 29.474 * [backup-simplify]: Simplify 1 into 1 29.474 * [backup-simplify]: Simplify (+ 0) into 0 29.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.475 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.476 * [backup-simplify]: Simplify (- 0) into 0 29.476 * [backup-simplify]: Simplify (+ 0 0) into 0 29.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.476 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 29.477 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 29.477 * [taylor]: Taking taylor expansion of 0 in J 29.477 * [backup-simplify]: Simplify 0 into 0 29.477 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.477 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.477 * [backup-simplify]: Simplify (- 0) into 0 29.477 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.477 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.478 * [backup-simplify]: Simplify (* -2 0) into 0 29.478 * [taylor]: Taking taylor expansion of 0 in K 29.478 * [backup-simplify]: Simplify 0 into 0 29.478 * [backup-simplify]: Simplify 0 into 0 29.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.478 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.478 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 29.479 * [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))) 29.479 * [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)))) 29.480 * [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))) 29.480 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 29.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.481 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.482 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.483 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.483 * [backup-simplify]: Simplify (- 0) into 0 29.483 * [backup-simplify]: Simplify (+ 0 0) into 0 29.483 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 29.484 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/16 (/ 1 (* (cos (* 1/2 K)) J))) 29.484 * [backup-simplify]: Simplify (+ (* -2 (* 1/16 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) 29.484 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) in J 29.484 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) in J 29.484 * [taylor]: Taking taylor expansion of 1/8 in J 29.484 * [backup-simplify]: Simplify 1/8 into 1/8 29.484 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 29.484 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 29.485 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 29.485 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 29.485 * [taylor]: Taking taylor expansion of 1/2 in J 29.485 * [backup-simplify]: Simplify 1/2 into 1/2 29.485 * [taylor]: Taking taylor expansion of K in J 29.485 * [backup-simplify]: Simplify K into K 29.485 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 29.485 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 29.485 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 29.485 * [taylor]: Taking taylor expansion of J in J 29.485 * [backup-simplify]: Simplify 0 into 0 29.485 * [backup-simplify]: Simplify 1 into 1 29.485 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 29.485 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 29.485 * [backup-simplify]: Simplify (- 0) into 0 29.485 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 29.485 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 29.485 * [backup-simplify]: Simplify (+ 0) into 0 29.486 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.487 * [backup-simplify]: Simplify (- 0) into 0 29.487 * [backup-simplify]: Simplify (+ 0 0) into 0 29.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.488 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 29.488 * [backup-simplify]: Simplify (* 1/8 (/ 1 (cos (* 1/2 K)))) into (/ 1/8 (cos (* 1/2 K))) 29.488 * [backup-simplify]: Simplify (- (/ 1/8 (cos (* 1/2 K)))) into (- (* 1/8 (/ 1 (cos (* 1/2 K))))) 29.488 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (cos (* 1/2 K))))) in K 29.488 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (cos (* 1/2 K)))) in K 29.488 * [taylor]: Taking taylor expansion of 1/8 in K 29.488 * [backup-simplify]: Simplify 1/8 into 1/8 29.488 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 29.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.488 * [taylor]: Taking taylor expansion of 1/2 in K 29.488 * [backup-simplify]: Simplify 1/2 into 1/2 29.488 * [taylor]: Taking taylor expansion of K in K 29.488 * [backup-simplify]: Simplify 0 into 0 29.488 * [backup-simplify]: Simplify 1 into 1 29.488 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.489 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.489 * [backup-simplify]: Simplify (/ 1 1) into 1 29.489 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 29.489 * [backup-simplify]: Simplify (- 1/8) into -1/8 29.489 * [backup-simplify]: Simplify -1/8 into -1/8 29.489 * [taylor]: Taking taylor expansion of 0 in K 29.489 * [backup-simplify]: Simplify 0 into 0 29.489 * [backup-simplify]: Simplify 0 into 0 29.490 * [backup-simplify]: Simplify (+ 0) into 0 29.490 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.491 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.491 * [backup-simplify]: Simplify (- 0) into 0 29.492 * [backup-simplify]: Simplify (+ 0 0) into 0 29.492 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 29.492 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 29.492 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 29.492 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 29.492 * [taylor]: Taking taylor expansion of 2 in K 29.492 * [backup-simplify]: Simplify 2 into 2 29.492 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 29.492 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 29.492 * [taylor]: Taking taylor expansion of 1/2 in K 29.492 * [backup-simplify]: Simplify 1/2 into 1/2 29.492 * [taylor]: Taking taylor expansion of K in K 29.492 * [backup-simplify]: Simplify 0 into 0 29.492 * [backup-simplify]: Simplify 1 into 1 29.493 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.493 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 29.493 * [backup-simplify]: Simplify (* 2 1) into 2 29.493 * [backup-simplify]: Simplify (- 2) into -2 29.494 * [backup-simplify]: Simplify -2 into -2 29.494 * [backup-simplify]: Simplify 0 into 0 29.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.494 * [backup-simplify]: Simplify (+ 0) into 0 29.495 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.496 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.496 * [backup-simplify]: Simplify (- 0) into 0 29.496 * [backup-simplify]: Simplify (+ 0 0) into 0 29.496 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.497 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 29.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 29.497 * [backup-simplify]: Simplify (+ 0) into 0 29.498 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 29.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 29.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.499 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 29.499 * [backup-simplify]: Simplify (- 0) into 0 29.499 * [backup-simplify]: Simplify (+ 0 0) into 0 29.499 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 29.499 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 29.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 29.500 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 29.500 * [backup-simplify]: Simplify (+ 0 0) into 0 29.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 29.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 29.502 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.502 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 29.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.505 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.506 * [backup-simplify]: Simplify (- 0) into 0 29.506 * [backup-simplify]: Simplify (+ 0 0) into 0 29.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 29.508 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 29.509 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/16 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 29.509 * [taylor]: Taking taylor expansion of 0 in J 29.509 * [backup-simplify]: Simplify 0 into 0 29.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.517 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.520 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.520 * [backup-simplify]: Simplify (- 0) into 0 29.520 * [backup-simplify]: Simplify (+ 0 0) into 0 29.521 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 29.522 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 29.523 * [backup-simplify]: Simplify (- 0) into 0 29.523 * [taylor]: Taking taylor expansion of 0 in K 29.523 * [backup-simplify]: Simplify 0 into 0 29.523 * [backup-simplify]: Simplify 0 into 0 29.523 * [taylor]: Taking taylor expansion of 0 in K 29.523 * [backup-simplify]: Simplify 0 into 0 29.523 * [backup-simplify]: Simplify 0 into 0 29.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.525 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 29.526 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.527 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.527 * [backup-simplify]: Simplify (- 0) into 0 29.528 * [backup-simplify]: Simplify (+ 0 0) into 0 29.528 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.529 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 29.529 * [taylor]: Taking taylor expansion of 0 in K 29.529 * [backup-simplify]: Simplify 0 into 0 29.529 * [backup-simplify]: Simplify 0 into 0 29.530 * [backup-simplify]: Simplify (+ 0) into 0 29.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.531 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 29.532 * [backup-simplify]: Simplify (- 0) into 0 29.532 * [backup-simplify]: Simplify 0 into 0 29.532 * [backup-simplify]: Simplify 0 into 0 29.532 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/8 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/8 (/ (pow U 2) J)))) 29.532 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 U) (* (/ 1 J) (* (cos (/ (/ 1 K) 2)) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) 29.533 * [approximate]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in (U J K) around 0 29.533 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in K 29.533 * [taylor]: Taking taylor expansion of -2 in K 29.533 * [backup-simplify]: Simplify -2 into -2 29.533 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in K 29.533 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 29.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.533 * [taylor]: Taking taylor expansion of 1/2 in K 29.533 * [backup-simplify]: Simplify 1/2 into 1/2 29.533 * [taylor]: Taking taylor expansion of K in K 29.533 * [backup-simplify]: Simplify 0 into 0 29.533 * [backup-simplify]: Simplify 1 into 1 29.533 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.533 * [taylor]: Taking taylor expansion of J in K 29.534 * [backup-simplify]: Simplify J into J 29.534 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 29.534 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 29.534 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.534 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.534 * [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 29.534 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.534 * [taylor]: Taking taylor expansion of 1 in K 29.534 * [backup-simplify]: Simplify 1 into 1 29.534 * [taylor]: Taking taylor expansion of 1 in K 29.534 * [backup-simplify]: Simplify 1 into 1 29.534 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 29.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.534 * [taylor]: Taking taylor expansion of 1/2 in K 29.534 * [backup-simplify]: Simplify 1/2 into 1/2 29.534 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.534 * [taylor]: Taking taylor expansion of J in K 29.534 * [backup-simplify]: Simplify J into J 29.534 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.534 * [taylor]: Taking taylor expansion of U in K 29.534 * [backup-simplify]: Simplify U into U 29.534 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.534 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.534 * [taylor]: Taking taylor expansion of 1/2 in K 29.534 * [backup-simplify]: Simplify 1/2 into 1/2 29.535 * [taylor]: Taking taylor expansion of K in K 29.535 * [backup-simplify]: Simplify 0 into 0 29.535 * [backup-simplify]: Simplify 1 into 1 29.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.535 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.535 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 29.535 * [taylor]: Taking taylor expansion of 1/2 in K 29.535 * [backup-simplify]: Simplify 1/2 into 1/2 29.535 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 29.535 * [taylor]: Taking taylor expansion of J in K 29.535 * [backup-simplify]: Simplify J into J 29.536 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 29.536 * [taylor]: Taking taylor expansion of U in K 29.536 * [backup-simplify]: Simplify U into U 29.536 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 29.536 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 29.536 * [taylor]: Taking taylor expansion of 1/2 in K 29.536 * [backup-simplify]: Simplify 1/2 into 1/2 29.536 * [taylor]: Taking taylor expansion of K in K 29.536 * [backup-simplify]: Simplify 0 into 0 29.536 * [backup-simplify]: Simplify 1 into 1 29.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 29.536 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.536 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.536 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 29.537 * [backup-simplify]: Simplify (* 1 1) into 1 29.537 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.537 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 29.537 * [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)))) 29.538 * [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) 29.538 * [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)) 29.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.539 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.539 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.540 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 29.541 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 29.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 29.542 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 29.542 * [backup-simplify]: Simplify (+ 0 0) into 0 29.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 29.543 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 29.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 29.544 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in J 29.544 * [taylor]: Taking taylor expansion of -2 in J 29.544 * [backup-simplify]: Simplify -2 into -2 29.544 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in J 29.544 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 29.544 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.544 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.544 * [taylor]: Taking taylor expansion of 1/2 in J 29.544 * [backup-simplify]: Simplify 1/2 into 1/2 29.544 * [taylor]: Taking taylor expansion of K in J 29.544 * [backup-simplify]: Simplify K into K 29.544 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.544 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.544 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.544 * [taylor]: Taking taylor expansion of J in J 29.544 * [backup-simplify]: Simplify 0 into 0 29.544 * [backup-simplify]: Simplify 1 into 1 29.544 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.544 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.545 * [backup-simplify]: Simplify (- 0) into 0 29.545 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.545 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.545 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 29.545 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.545 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.545 * [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 29.545 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.545 * [taylor]: Taking taylor expansion of 1 in J 29.545 * [backup-simplify]: Simplify 1 into 1 29.545 * [taylor]: Taking taylor expansion of 1 in J 29.545 * [backup-simplify]: Simplify 1 into 1 29.545 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 29.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.545 * [taylor]: Taking taylor expansion of 1/2 in J 29.545 * [backup-simplify]: Simplify 1/2 into 1/2 29.545 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.545 * [taylor]: Taking taylor expansion of J in J 29.545 * [backup-simplify]: Simplify 0 into 0 29.545 * [backup-simplify]: Simplify 1 into 1 29.546 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.546 * [taylor]: Taking taylor expansion of U in J 29.546 * [backup-simplify]: Simplify U into U 29.546 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.546 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.546 * [taylor]: Taking taylor expansion of 1/2 in J 29.546 * [backup-simplify]: Simplify 1/2 into 1/2 29.546 * [taylor]: Taking taylor expansion of K in J 29.546 * [backup-simplify]: Simplify K into K 29.546 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.546 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.546 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.546 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.547 * [backup-simplify]: Simplify (- 0) into 0 29.547 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.547 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.547 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 29.547 * [taylor]: Taking taylor expansion of 1/2 in J 29.547 * [backup-simplify]: Simplify 1/2 into 1/2 29.547 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 29.547 * [taylor]: Taking taylor expansion of J in J 29.547 * [backup-simplify]: Simplify 0 into 0 29.547 * [backup-simplify]: Simplify 1 into 1 29.547 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 29.548 * [taylor]: Taking taylor expansion of U in J 29.548 * [backup-simplify]: Simplify U into U 29.548 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.548 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.548 * [taylor]: Taking taylor expansion of 1/2 in J 29.548 * [backup-simplify]: Simplify 1/2 into 1/2 29.548 * [taylor]: Taking taylor expansion of K in J 29.548 * [backup-simplify]: Simplify K into K 29.548 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.548 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.548 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.548 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.549 * [backup-simplify]: Simplify (- 0) into 0 29.549 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.549 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 29.549 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 29.549 * [backup-simplify]: Simplify (* 1 1) into 1 29.550 * [backup-simplify]: Simplify (+ 1 0) into 1 29.550 * [backup-simplify]: Simplify (sqrt 1) into 1 29.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.551 * [backup-simplify]: Simplify (+ 0 0) into 0 29.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.553 * [backup-simplify]: Simplify (sqrt 1) into 1 29.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.553 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in U 29.553 * [taylor]: Taking taylor expansion of -2 in U 29.553 * [backup-simplify]: Simplify -2 into -2 29.553 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in U 29.553 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 29.553 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.554 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.554 * [taylor]: Taking taylor expansion of 1/2 in U 29.554 * [backup-simplify]: Simplify 1/2 into 1/2 29.554 * [taylor]: Taking taylor expansion of K in U 29.554 * [backup-simplify]: Simplify K into K 29.554 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.554 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.554 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.554 * [taylor]: Taking taylor expansion of J in U 29.554 * [backup-simplify]: Simplify J into J 29.554 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.554 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.555 * [backup-simplify]: Simplify (- 0) into 0 29.555 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.555 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 29.555 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 29.555 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.555 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.555 * [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 29.555 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.555 * [taylor]: Taking taylor expansion of 1 in U 29.555 * [backup-simplify]: Simplify 1 into 1 29.555 * [taylor]: Taking taylor expansion of 1 in U 29.555 * [backup-simplify]: Simplify 1 into 1 29.555 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.555 * [taylor]: Taking taylor expansion of 1/2 in U 29.555 * [backup-simplify]: Simplify 1/2 into 1/2 29.555 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.555 * [taylor]: Taking taylor expansion of J in U 29.555 * [backup-simplify]: Simplify J into J 29.555 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.555 * [taylor]: Taking taylor expansion of U in U 29.556 * [backup-simplify]: Simplify 0 into 0 29.556 * [backup-simplify]: Simplify 1 into 1 29.556 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.556 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.556 * [taylor]: Taking taylor expansion of 1/2 in U 29.556 * [backup-simplify]: Simplify 1/2 into 1/2 29.556 * [taylor]: Taking taylor expansion of K in U 29.556 * [backup-simplify]: Simplify K into K 29.556 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.556 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.556 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.556 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.557 * [backup-simplify]: Simplify (- 0) into 0 29.557 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.557 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.557 * [backup-simplify]: Simplify (+ 0) into 0 29.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.558 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.559 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.560 * [backup-simplify]: Simplify (- 0) into 0 29.560 * [backup-simplify]: Simplify (+ 0 0) into 0 29.560 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.561 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.561 * [taylor]: Taking taylor expansion of 1/2 in U 29.561 * [backup-simplify]: Simplify 1/2 into 1/2 29.561 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.561 * [taylor]: Taking taylor expansion of J in U 29.561 * [backup-simplify]: Simplify J into J 29.561 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.561 * [taylor]: Taking taylor expansion of U in U 29.561 * [backup-simplify]: Simplify 0 into 0 29.561 * [backup-simplify]: Simplify 1 into 1 29.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.561 * [taylor]: Taking taylor expansion of 1/2 in U 29.561 * [backup-simplify]: Simplify 1/2 into 1/2 29.561 * [taylor]: Taking taylor expansion of K in U 29.561 * [backup-simplify]: Simplify K into K 29.561 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.561 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.561 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.561 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.562 * [backup-simplify]: Simplify (- 0) into 0 29.562 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.562 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.562 * [backup-simplify]: Simplify (+ 0) into 0 29.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.565 * [backup-simplify]: Simplify (- 0) into 0 29.565 * [backup-simplify]: Simplify (+ 0 0) into 0 29.566 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.566 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.566 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.566 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.566 * [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))) 29.566 * [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))) 29.567 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.569 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.570 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.570 * [backup-simplify]: Simplify (- 0) into 0 29.570 * [backup-simplify]: Simplify (+ 0 0) into 0 29.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.571 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.572 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.574 * [backup-simplify]: Simplify (- 0) into 0 29.574 * [backup-simplify]: Simplify (+ 0 0) into 0 29.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.575 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.575 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.575 * [backup-simplify]: Simplify (+ 0 0) into 0 29.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.576 * [backup-simplify]: Simplify (sqrt 0) into 0 29.576 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 29.576 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in U 29.576 * [taylor]: Taking taylor expansion of -2 in U 29.576 * [backup-simplify]: Simplify -2 into -2 29.576 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in U 29.576 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 29.576 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.576 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.576 * [taylor]: Taking taylor expansion of 1/2 in U 29.576 * [backup-simplify]: Simplify 1/2 into 1/2 29.576 * [taylor]: Taking taylor expansion of K in U 29.576 * [backup-simplify]: Simplify K into K 29.576 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.576 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.576 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.576 * [taylor]: Taking taylor expansion of J in U 29.576 * [backup-simplify]: Simplify J into J 29.576 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.576 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.577 * [backup-simplify]: Simplify (- 0) into 0 29.577 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.577 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 29.577 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 29.577 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.577 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 29.577 * [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 29.577 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.577 * [taylor]: Taking taylor expansion of 1 in U 29.577 * [backup-simplify]: Simplify 1 into 1 29.577 * [taylor]: Taking taylor expansion of 1 in U 29.577 * [backup-simplify]: Simplify 1 into 1 29.577 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 29.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.577 * [taylor]: Taking taylor expansion of 1/2 in U 29.577 * [backup-simplify]: Simplify 1/2 into 1/2 29.577 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.577 * [taylor]: Taking taylor expansion of J in U 29.577 * [backup-simplify]: Simplify J into J 29.577 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.577 * [taylor]: Taking taylor expansion of U in U 29.577 * [backup-simplify]: Simplify 0 into 0 29.577 * [backup-simplify]: Simplify 1 into 1 29.577 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.577 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.577 * [taylor]: Taking taylor expansion of 1/2 in U 29.577 * [backup-simplify]: Simplify 1/2 into 1/2 29.577 * [taylor]: Taking taylor expansion of K in U 29.577 * [backup-simplify]: Simplify K into K 29.577 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.577 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.577 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.577 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.578 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.578 * [backup-simplify]: Simplify (- 0) into 0 29.578 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.578 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.578 * [backup-simplify]: Simplify (+ 0) into 0 29.578 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.579 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.580 * [backup-simplify]: Simplify (- 0) into 0 29.580 * [backup-simplify]: Simplify (+ 0 0) into 0 29.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.580 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 29.580 * [taylor]: Taking taylor expansion of 1/2 in U 29.580 * [backup-simplify]: Simplify 1/2 into 1/2 29.580 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 29.580 * [taylor]: Taking taylor expansion of J in U 29.580 * [backup-simplify]: Simplify J into J 29.580 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 29.580 * [taylor]: Taking taylor expansion of U in U 29.580 * [backup-simplify]: Simplify 0 into 0 29.580 * [backup-simplify]: Simplify 1 into 1 29.580 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 29.580 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 29.580 * [taylor]: Taking taylor expansion of 1/2 in U 29.580 * [backup-simplify]: Simplify 1/2 into 1/2 29.580 * [taylor]: Taking taylor expansion of K in U 29.580 * [backup-simplify]: Simplify K into K 29.580 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.580 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.580 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.581 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.581 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.581 * [backup-simplify]: Simplify (- 0) into 0 29.581 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.581 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 29.581 * [backup-simplify]: Simplify (+ 0) into 0 29.581 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.582 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.583 * [backup-simplify]: Simplify (- 0) into 0 29.583 * [backup-simplify]: Simplify (+ 0 0) into 0 29.583 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 29.583 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 29.583 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.583 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.584 * [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))) 29.584 * [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))) 29.584 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 29.584 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.585 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.586 * [backup-simplify]: Simplify (- 0) into 0 29.586 * [backup-simplify]: Simplify (+ 0 0) into 0 29.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.587 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.588 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.589 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.589 * [backup-simplify]: Simplify (- 0) into 0 29.590 * [backup-simplify]: Simplify (+ 0 0) into 0 29.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 29.590 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 29.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 29.591 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 29.591 * [backup-simplify]: Simplify (+ 0 0) into 0 29.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 29.592 * [backup-simplify]: Simplify (sqrt 0) into 0 29.592 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 29.592 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 K)) J) 0) into 0 29.592 * [backup-simplify]: Simplify (* -2 0) into 0 29.592 * [taylor]: Taking taylor expansion of 0 in J 29.592 * [backup-simplify]: Simplify 0 into 0 29.593 * [backup-simplify]: Simplify (+ 0) into 0 29.593 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.593 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.594 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.594 * [backup-simplify]: Simplify (- 0) into 0 29.594 * [backup-simplify]: Simplify (+ 0 0) into 0 29.594 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 29.595 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0)) into (- +nan.0) 29.596 * [backup-simplify]: Simplify (+ (* -2 (- +nan.0)) (* 0 0)) into (- +nan.0) 29.596 * [taylor]: Taking taylor expansion of (- +nan.0) in J 29.596 * [taylor]: Taking taylor expansion of +nan.0 in J 29.596 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.596 * [taylor]: Taking taylor expansion of 0 in K 29.596 * [backup-simplify]: Simplify 0 into 0 29.596 * [backup-simplify]: Simplify 0 into 0 29.597 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 29.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.598 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.599 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.600 * [backup-simplify]: Simplify (- 0) into 0 29.600 * [backup-simplify]: Simplify (+ 0 0) into 0 29.600 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 29.601 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ 1/2 K))))) 29.602 * [backup-simplify]: Simplify (+ (* -2 (- (* +nan.0 (/ J (cos (/ 1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ 1/2 K))))) 29.602 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ J (cos (/ 1/2 K))))) in J 29.602 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 29.602 * [taylor]: Taking taylor expansion of +nan.0 in J 29.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.602 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 29.602 * [taylor]: Taking taylor expansion of J in J 29.602 * [backup-simplify]: Simplify 0 into 0 29.603 * [backup-simplify]: Simplify 1 into 1 29.603 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.603 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.603 * [taylor]: Taking taylor expansion of 1/2 in J 29.603 * [backup-simplify]: Simplify 1/2 into 1/2 29.603 * [taylor]: Taking taylor expansion of K in J 29.603 * [backup-simplify]: Simplify K into K 29.603 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.603 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.603 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.603 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.603 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.604 * [backup-simplify]: Simplify (- 0) into 0 29.604 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.604 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 29.604 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.604 * [taylor]: Taking taylor expansion of (- +nan.0) in K 29.604 * [taylor]: Taking taylor expansion of +nan.0 in K 29.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.605 * [taylor]: Taking taylor expansion of 0 in K 29.605 * [backup-simplify]: Simplify 0 into 0 29.605 * [backup-simplify]: Simplify 0 into 0 29.605 * [backup-simplify]: Simplify 0 into 0 29.606 * [backup-simplify]: Simplify (* 1 1) into 1 29.607 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.611 * [backup-simplify]: Simplify (- 0) into 0 29.611 * [backup-simplify]: Simplify (+ 0 0) into 0 29.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.613 * [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 29.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.614 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.617 * [backup-simplify]: Simplify (- 0) into 0 29.617 * [backup-simplify]: Simplify (+ 0 0) into 0 29.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 29.618 * [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 29.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 29.619 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 29.619 * [backup-simplify]: Simplify (+ 1 0) into 1 29.620 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 29.620 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 29.621 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.621 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.623 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.623 * [backup-simplify]: Simplify (- 0) into 0 29.623 * [backup-simplify]: Simplify (+ 0 0) into 0 29.623 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 29.624 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))))) (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 29.625 * [backup-simplify]: Simplify (+ (* -2 (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (+ (* 0 (- (* +nan.0 (/ J (cos (/ 1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 29.625 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) in J 29.625 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) in J 29.625 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 29.625 * [taylor]: Taking taylor expansion of +nan.0 in J 29.626 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.626 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 29.626 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 29.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.626 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.626 * [taylor]: Taking taylor expansion of 1/2 in J 29.626 * [backup-simplify]: Simplify 1/2 into 1/2 29.626 * [taylor]: Taking taylor expansion of K in J 29.626 * [backup-simplify]: Simplify K into K 29.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.626 * [backup-simplify]: Simplify (- 0) into 0 29.626 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.626 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.626 * [taylor]: Taking taylor expansion of J in J 29.626 * [backup-simplify]: Simplify 0 into 0 29.626 * [backup-simplify]: Simplify 1 into 1 29.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 29.627 * [backup-simplify]: Simplify (* 1 1) into 1 29.627 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 29.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 29.627 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 29.627 * [taylor]: Taking taylor expansion of +nan.0 in J 29.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.627 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 29.627 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.627 * [taylor]: Taking taylor expansion of J in J 29.627 * [backup-simplify]: Simplify 0 into 0 29.627 * [backup-simplify]: Simplify 1 into 1 29.627 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 29.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 29.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 29.627 * [taylor]: Taking taylor expansion of 1/2 in J 29.627 * [backup-simplify]: Simplify 1/2 into 1/2 29.627 * [taylor]: Taking taylor expansion of K in J 29.627 * [backup-simplify]: Simplify K into K 29.627 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 29.627 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 29.627 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 29.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 29.627 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 29.627 * [backup-simplify]: Simplify (- 0) into 0 29.627 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 29.628 * [backup-simplify]: Simplify (* 1 1) into 1 29.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 29.628 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 29.628 * [backup-simplify]: Simplify (+ 0) into 0 29.628 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 29.629 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 29.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.629 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 29.630 * [backup-simplify]: Simplify (- 0) into 0 29.630 * [backup-simplify]: Simplify (+ 0 0) into 0 29.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 29.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 29.631 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 29.632 * [backup-simplify]: Simplify (+ 0 0) into 0 29.632 * [backup-simplify]: Simplify (- 0) into 0 29.632 * [taylor]: Taking taylor expansion of 0 in K 29.632 * [backup-simplify]: Simplify 0 into 0 29.632 * [backup-simplify]: Simplify 0 into 0 29.632 * [backup-simplify]: Simplify (- 0) into 0 29.632 * [taylor]: Taking taylor expansion of 0 in K 29.632 * [backup-simplify]: Simplify 0 into 0 29.632 * [backup-simplify]: Simplify 0 into 0 29.632 * [taylor]: Taking taylor expansion of 0 in K 29.632 * [backup-simplify]: Simplify 0 into 0 29.632 * [backup-simplify]: Simplify 0 into 0 29.633 * [backup-simplify]: Simplify (- 0) into 0 29.633 * [backup-simplify]: Simplify 0 into 0 29.633 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.633 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (/ 1 (- J)) (* (cos (/ (/ 1 (- K)) 2)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) 29.633 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in (U J K) around 0 29.633 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in K 29.633 * [taylor]: Taking taylor expansion of 2 in K 29.633 * [backup-simplify]: Simplify 2 into 2 29.633 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in K 29.633 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 29.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.633 * [taylor]: Taking taylor expansion of -1/2 in K 29.633 * [backup-simplify]: Simplify -1/2 into -1/2 29.633 * [taylor]: Taking taylor expansion of K in K 29.633 * [backup-simplify]: Simplify 0 into 0 29.633 * [backup-simplify]: Simplify 1 into 1 29.634 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.634 * [taylor]: Taking taylor expansion of J in K 29.634 * [backup-simplify]: Simplify J into J 29.634 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 29.634 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 29.634 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.634 * [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 29.634 * [taylor]: Taking taylor expansion of (* 1 1) in K 29.634 * [taylor]: Taking taylor expansion of 1 in K 29.634 * [backup-simplify]: Simplify 1 into 1 29.634 * [taylor]: Taking taylor expansion of 1 in K 29.634 * [backup-simplify]: Simplify 1 into 1 29.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 29.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.634 * [taylor]: Taking taylor expansion of 1/2 in K 29.634 * [backup-simplify]: Simplify 1/2 into 1/2 29.634 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.634 * [taylor]: Taking taylor expansion of J in K 29.634 * [backup-simplify]: Simplify J into J 29.634 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.634 * [taylor]: Taking taylor expansion of -1/2 in K 29.634 * [backup-simplify]: Simplify -1/2 into -1/2 29.634 * [taylor]: Taking taylor expansion of K in K 29.634 * [backup-simplify]: Simplify 0 into 0 29.634 * [backup-simplify]: Simplify 1 into 1 29.634 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.635 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.635 * [taylor]: Taking taylor expansion of U in K 29.635 * [backup-simplify]: Simplify U into U 29.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.635 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 29.635 * [taylor]: Taking taylor expansion of 1/2 in K 29.635 * [backup-simplify]: Simplify 1/2 into 1/2 29.635 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 29.635 * [taylor]: Taking taylor expansion of J in K 29.635 * [backup-simplify]: Simplify J into J 29.635 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 29.635 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 29.635 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 29.635 * [taylor]: Taking taylor expansion of -1/2 in K 29.635 * [backup-simplify]: Simplify -1/2 into -1/2 29.635 * [taylor]: Taking taylor expansion of K in K 29.635 * [backup-simplify]: Simplify 0 into 0 29.635 * [backup-simplify]: Simplify 1 into 1 29.639 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 29.639 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.639 * [taylor]: Taking taylor expansion of U in K 29.639 * [backup-simplify]: Simplify U into U 29.639 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.639 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 29.640 * [backup-simplify]: Simplify (* 1 1) into 1 29.640 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.640 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 29.640 * [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)))) 29.641 * [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))))) 29.641 * [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)))))) 29.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.641 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 29.642 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 29.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 29.643 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 29.643 * [backup-simplify]: Simplify (+ 0 0) into 0 29.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 29.644 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 29.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 29.645 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in J 29.645 * [taylor]: Taking taylor expansion of 2 in J 29.645 * [backup-simplify]: Simplify 2 into 2 29.645 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in J 29.645 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 29.645 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.645 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.645 * [taylor]: Taking taylor expansion of -1/2 in J 29.645 * [backup-simplify]: Simplify -1/2 into -1/2 29.645 * [taylor]: Taking taylor expansion of K in J 29.645 * [backup-simplify]: Simplify K into K 29.645 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.646 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.646 * [taylor]: Taking taylor expansion of J in J 29.646 * [backup-simplify]: Simplify 0 into 0 29.646 * [backup-simplify]: Simplify 1 into 1 29.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.646 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.646 * [backup-simplify]: Simplify (- 0) into 0 29.646 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.647 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.647 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 29.647 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.647 * [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 29.647 * [taylor]: Taking taylor expansion of (* 1 1) in J 29.647 * [taylor]: Taking taylor expansion of 1 in J 29.647 * [backup-simplify]: Simplify 1 into 1 29.647 * [taylor]: Taking taylor expansion of 1 in J 29.647 * [backup-simplify]: Simplify 1 into 1 29.647 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 29.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.647 * [taylor]: Taking taylor expansion of 1/2 in J 29.647 * [backup-simplify]: Simplify 1/2 into 1/2 29.647 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.647 * [taylor]: Taking taylor expansion of J in J 29.647 * [backup-simplify]: Simplify 0 into 0 29.647 * [backup-simplify]: Simplify 1 into 1 29.647 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.647 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.647 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.647 * [taylor]: Taking taylor expansion of -1/2 in J 29.647 * [backup-simplify]: Simplify -1/2 into -1/2 29.647 * [taylor]: Taking taylor expansion of K in J 29.647 * [backup-simplify]: Simplify K into K 29.647 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.647 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.647 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.648 * [taylor]: Taking taylor expansion of U in J 29.648 * [backup-simplify]: Simplify U into U 29.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.648 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.648 * [backup-simplify]: Simplify (- 0) into 0 29.648 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.649 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 29.649 * [taylor]: Taking taylor expansion of 1/2 in J 29.649 * [backup-simplify]: Simplify 1/2 into 1/2 29.649 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 29.649 * [taylor]: Taking taylor expansion of J in J 29.649 * [backup-simplify]: Simplify 0 into 0 29.649 * [backup-simplify]: Simplify 1 into 1 29.649 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 29.649 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.649 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.649 * [taylor]: Taking taylor expansion of -1/2 in J 29.649 * [backup-simplify]: Simplify -1/2 into -1/2 29.649 * [taylor]: Taking taylor expansion of K in J 29.649 * [backup-simplify]: Simplify K into K 29.649 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.649 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.649 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.649 * [taylor]: Taking taylor expansion of U in J 29.649 * [backup-simplify]: Simplify U into U 29.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.649 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.650 * [backup-simplify]: Simplify (- 0) into 0 29.650 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 29.650 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 29.651 * [backup-simplify]: Simplify (* 1 1) into 1 29.651 * [backup-simplify]: Simplify (+ 1 0) into 1 29.652 * [backup-simplify]: Simplify (sqrt 1) into 1 29.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.653 * [backup-simplify]: Simplify (+ 0 0) into 0 29.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.654 * [backup-simplify]: Simplify (sqrt 1) into 1 29.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 29.655 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in U 29.655 * [taylor]: Taking taylor expansion of 2 in U 29.655 * [backup-simplify]: Simplify 2 into 2 29.655 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 29.655 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 29.655 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.655 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.655 * [taylor]: Taking taylor expansion of -1/2 in U 29.655 * [backup-simplify]: Simplify -1/2 into -1/2 29.655 * [taylor]: Taking taylor expansion of K in U 29.655 * [backup-simplify]: Simplify K into K 29.655 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.655 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.655 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.655 * [taylor]: Taking taylor expansion of J in U 29.655 * [backup-simplify]: Simplify J into J 29.655 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.655 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.656 * [backup-simplify]: Simplify (- 0) into 0 29.656 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.656 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 29.656 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.656 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.656 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.656 * [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 29.656 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.656 * [taylor]: Taking taylor expansion of 1 in U 29.656 * [backup-simplify]: Simplify 1 into 1 29.656 * [taylor]: Taking taylor expansion of 1 in U 29.656 * [backup-simplify]: Simplify 1 into 1 29.656 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.656 * [taylor]: Taking taylor expansion of 1/2 in U 29.656 * [backup-simplify]: Simplify 1/2 into 1/2 29.656 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.656 * [taylor]: Taking taylor expansion of J in U 29.657 * [backup-simplify]: Simplify J into J 29.657 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.657 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.657 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.657 * [taylor]: Taking taylor expansion of -1/2 in U 29.657 * [backup-simplify]: Simplify -1/2 into -1/2 29.657 * [taylor]: Taking taylor expansion of K in U 29.657 * [backup-simplify]: Simplify K into K 29.657 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.657 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.657 * [taylor]: Taking taylor expansion of U in U 29.657 * [backup-simplify]: Simplify 0 into 0 29.657 * [backup-simplify]: Simplify 1 into 1 29.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.657 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.658 * [backup-simplify]: Simplify (- 0) into 0 29.658 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.658 * [backup-simplify]: Simplify (+ 0) into 0 29.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.660 * [backup-simplify]: Simplify (- 0) into 0 29.661 * [backup-simplify]: Simplify (+ 0 0) into 0 29.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.661 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.662 * [taylor]: Taking taylor expansion of 1/2 in U 29.662 * [backup-simplify]: Simplify 1/2 into 1/2 29.662 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.662 * [taylor]: Taking taylor expansion of J in U 29.662 * [backup-simplify]: Simplify J into J 29.662 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.662 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.662 * [taylor]: Taking taylor expansion of -1/2 in U 29.662 * [backup-simplify]: Simplify -1/2 into -1/2 29.662 * [taylor]: Taking taylor expansion of K in U 29.662 * [backup-simplify]: Simplify K into K 29.662 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.662 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.662 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.662 * [taylor]: Taking taylor expansion of U in U 29.662 * [backup-simplify]: Simplify 0 into 0 29.662 * [backup-simplify]: Simplify 1 into 1 29.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.662 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.663 * [backup-simplify]: Simplify (- 0) into 0 29.663 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.663 * [backup-simplify]: Simplify (+ 0) into 0 29.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.666 * [backup-simplify]: Simplify (- 0) into 0 29.666 * [backup-simplify]: Simplify (+ 0 0) into 0 29.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.667 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.667 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.667 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.667 * [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))) 29.667 * [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))) 29.668 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.672 * [backup-simplify]: Simplify (- 0) into 0 29.672 * [backup-simplify]: Simplify (+ 0 0) into 0 29.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.673 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.675 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.677 * [backup-simplify]: Simplify (- 0) into 0 29.678 * [backup-simplify]: Simplify (+ 0 0) into 0 29.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.679 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.680 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.680 * [backup-simplify]: Simplify (+ 0 0) into 0 29.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.681 * [backup-simplify]: Simplify (sqrt 0) into 0 29.681 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 29.681 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in U 29.681 * [taylor]: Taking taylor expansion of 2 in U 29.681 * [backup-simplify]: Simplify 2 into 2 29.681 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 29.682 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 29.682 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.682 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.682 * [taylor]: Taking taylor expansion of -1/2 in U 29.682 * [backup-simplify]: Simplify -1/2 into -1/2 29.682 * [taylor]: Taking taylor expansion of K in U 29.682 * [backup-simplify]: Simplify K into K 29.682 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.682 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.682 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.682 * [taylor]: Taking taylor expansion of J in U 29.682 * [backup-simplify]: Simplify J into J 29.682 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.682 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.682 * [backup-simplify]: Simplify (- 0) into 0 29.683 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.683 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 29.683 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 29.683 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 29.683 * [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 29.683 * [taylor]: Taking taylor expansion of (* 1 1) in U 29.683 * [taylor]: Taking taylor expansion of 1 in U 29.683 * [backup-simplify]: Simplify 1 into 1 29.683 * [taylor]: Taking taylor expansion of 1 in U 29.683 * [backup-simplify]: Simplify 1 into 1 29.683 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 29.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.683 * [taylor]: Taking taylor expansion of 1/2 in U 29.683 * [backup-simplify]: Simplify 1/2 into 1/2 29.683 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.683 * [taylor]: Taking taylor expansion of J in U 29.683 * [backup-simplify]: Simplify J into J 29.683 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.683 * [taylor]: Taking taylor expansion of -1/2 in U 29.683 * [backup-simplify]: Simplify -1/2 into -1/2 29.683 * [taylor]: Taking taylor expansion of K in U 29.683 * [backup-simplify]: Simplify K into K 29.683 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.684 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.684 * [taylor]: Taking taylor expansion of U in U 29.684 * [backup-simplify]: Simplify 0 into 0 29.684 * [backup-simplify]: Simplify 1 into 1 29.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.684 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.684 * [backup-simplify]: Simplify (- 0) into 0 29.684 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.685 * [backup-simplify]: Simplify (+ 0) into 0 29.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.687 * [backup-simplify]: Simplify (- 0) into 0 29.688 * [backup-simplify]: Simplify (+ 0 0) into 0 29.688 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.688 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 29.688 * [taylor]: Taking taylor expansion of 1/2 in U 29.688 * [backup-simplify]: Simplify 1/2 into 1/2 29.688 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 29.688 * [taylor]: Taking taylor expansion of J in U 29.688 * [backup-simplify]: Simplify J into J 29.688 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 29.688 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 29.688 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 29.689 * [taylor]: Taking taylor expansion of -1/2 in U 29.689 * [backup-simplify]: Simplify -1/2 into -1/2 29.689 * [taylor]: Taking taylor expansion of K in U 29.689 * [backup-simplify]: Simplify K into K 29.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.689 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.689 * [taylor]: Taking taylor expansion of U in U 29.689 * [backup-simplify]: Simplify 0 into 0 29.689 * [backup-simplify]: Simplify 1 into 1 29.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.689 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.689 * [backup-simplify]: Simplify (- 0) into 0 29.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 29.690 * [backup-simplify]: Simplify (+ 0) into 0 29.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.691 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.692 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.692 * [backup-simplify]: Simplify (- 0) into 0 29.693 * [backup-simplify]: Simplify (+ 0 0) into 0 29.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 29.693 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 29.693 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.694 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.694 * [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))) 29.694 * [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))) 29.694 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 29.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.698 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.698 * [backup-simplify]: Simplify (- 0) into 0 29.698 * [backup-simplify]: Simplify (+ 0 0) into 0 29.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.699 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.701 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.701 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.702 * [backup-simplify]: Simplify (- 0) into 0 29.702 * [backup-simplify]: Simplify (+ 0 0) into 0 29.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 29.702 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 29.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 29.703 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 29.703 * [backup-simplify]: Simplify (+ 0 0) into 0 29.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 29.703 * [backup-simplify]: Simplify (sqrt 0) into 0 29.704 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 29.704 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) 0) into 0 29.704 * [backup-simplify]: Simplify (* 2 0) into 0 29.704 * [taylor]: Taking taylor expansion of 0 in J 29.704 * [backup-simplify]: Simplify 0 into 0 29.705 * [backup-simplify]: Simplify (+ 0) into 0 29.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.705 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.706 * [backup-simplify]: Simplify (- 0) into 0 29.706 * [backup-simplify]: Simplify (+ 0 0) into 0 29.706 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 29.707 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0)) into (- +nan.0) 29.708 * [backup-simplify]: Simplify (+ (* 2 (- +nan.0)) (* 0 0)) into (- +nan.0) 29.708 * [taylor]: Taking taylor expansion of (- +nan.0) in J 29.708 * [taylor]: Taking taylor expansion of +nan.0 in J 29.708 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.708 * [taylor]: Taking taylor expansion of 0 in K 29.708 * [backup-simplify]: Simplify 0 into 0 29.708 * [backup-simplify]: Simplify 0 into 0 29.709 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 29.709 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 29.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 29.710 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.710 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 29.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 29.711 * [backup-simplify]: Simplify (- 0) into 0 29.711 * [backup-simplify]: Simplify (+ 0 0) into 0 29.711 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 29.712 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ -1/2 K))))) 29.712 * [backup-simplify]: Simplify (+ (* 2 (- (* +nan.0 (/ J (cos (/ -1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ -1/2 K))))) 29.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ J (cos (/ -1/2 K))))) in J 29.712 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 29.712 * [taylor]: Taking taylor expansion of +nan.0 in J 29.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.713 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 29.713 * [taylor]: Taking taylor expansion of J in J 29.713 * [backup-simplify]: Simplify 0 into 0 29.713 * [backup-simplify]: Simplify 1 into 1 29.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.713 * [taylor]: Taking taylor expansion of -1/2 in J 29.713 * [backup-simplify]: Simplify -1/2 into -1/2 29.713 * [taylor]: Taking taylor expansion of K in J 29.713 * [backup-simplify]: Simplify K into K 29.713 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.713 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.713 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.713 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.713 * [backup-simplify]: Simplify (- 0) into 0 29.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.713 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 29.713 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.714 * [taylor]: Taking taylor expansion of (- +nan.0) in K 29.714 * [taylor]: Taking taylor expansion of +nan.0 in K 29.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.714 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.714 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.714 * [taylor]: Taking taylor expansion of 0 in K 29.714 * [backup-simplify]: Simplify 0 into 0 29.714 * [backup-simplify]: Simplify 0 into 0 29.714 * [backup-simplify]: Simplify 0 into 0 29.714 * [backup-simplify]: Simplify (* 1 1) into 1 29.715 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.717 * [backup-simplify]: Simplify (- 0) into 0 29.717 * [backup-simplify]: Simplify (+ 0 0) into 0 29.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.718 * [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 29.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.719 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.720 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.721 * [backup-simplify]: Simplify (- 0) into 0 29.722 * [backup-simplify]: Simplify (+ 0 0) into 0 29.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.722 * [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 29.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 29.723 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 29.723 * [backup-simplify]: Simplify (+ 1 0) into 1 29.724 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 29.725 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 29.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 29.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 29.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 29.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 29.729 * [backup-simplify]: Simplify (- 0) into 0 29.729 * [backup-simplify]: Simplify (+ 0 0) into 0 29.730 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 29.731 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))))) (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 29.733 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (+ (* 0 (- (* +nan.0 (/ J (cos (/ -1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 29.733 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) in J 29.733 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) in J 29.734 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 29.734 * [taylor]: Taking taylor expansion of +nan.0 in J 29.734 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.734 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 29.734 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 29.734 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.734 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.734 * [taylor]: Taking taylor expansion of -1/2 in J 29.734 * [backup-simplify]: Simplify -1/2 into -1/2 29.734 * [taylor]: Taking taylor expansion of K in J 29.734 * [backup-simplify]: Simplify K into K 29.734 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.734 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.734 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.734 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.734 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.735 * [backup-simplify]: Simplify (- 0) into 0 29.735 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.735 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.735 * [taylor]: Taking taylor expansion of J in J 29.735 * [backup-simplify]: Simplify 0 into 0 29.735 * [backup-simplify]: Simplify 1 into 1 29.735 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.736 * [backup-simplify]: Simplify (* 1 1) into 1 29.736 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 29.736 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 29.736 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 29.736 * [taylor]: Taking taylor expansion of +nan.0 in J 29.736 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.736 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 29.736 * [taylor]: Taking taylor expansion of (pow J 2) in J 29.736 * [taylor]: Taking taylor expansion of J in J 29.736 * [backup-simplify]: Simplify 0 into 0 29.736 * [backup-simplify]: Simplify 1 into 1 29.736 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 29.736 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 29.736 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 29.736 * [taylor]: Taking taylor expansion of -1/2 in J 29.736 * [backup-simplify]: Simplify -1/2 into -1/2 29.736 * [taylor]: Taking taylor expansion of K in J 29.736 * [backup-simplify]: Simplify K into K 29.736 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 29.736 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 29.736 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 29.737 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 29.737 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 29.737 * [backup-simplify]: Simplify (- 0) into 0 29.737 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 29.738 * [backup-simplify]: Simplify (* 1 1) into 1 29.738 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 29.738 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 29.738 * [backup-simplify]: Simplify (+ 0) into 0 29.739 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 29.739 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 29.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 29.740 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 29.741 * [backup-simplify]: Simplify (- 0) into 0 29.741 * [backup-simplify]: Simplify (+ 0 0) into 0 29.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 29.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 29.744 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 29.744 * [backup-simplify]: Simplify (+ 0 0) into 0 29.745 * [backup-simplify]: Simplify (- 0) into 0 29.745 * [taylor]: Taking taylor expansion of 0 in K 29.745 * [backup-simplify]: Simplify 0 into 0 29.745 * [backup-simplify]: Simplify 0 into 0 29.745 * [backup-simplify]: Simplify (- 0) into 0 29.745 * [taylor]: Taking taylor expansion of 0 in K 29.745 * [backup-simplify]: Simplify 0 into 0 29.745 * [backup-simplify]: Simplify 0 into 0 29.745 * [taylor]: Taking taylor expansion of 0 in K 29.745 * [backup-simplify]: Simplify 0 into 0 29.745 * [backup-simplify]: Simplify 0 into 0 29.746 * [backup-simplify]: Simplify (- 0) into 0 29.746 * [backup-simplify]: Simplify 0 into 0 29.746 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.746 * * * [progress]: simplifying candidates 29.746 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 29.746 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 29.747 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 29.747 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 29.747 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 29.747 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 29.747 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 29.747 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 29.747 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 29.747 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 29.747 * * [simplify]: iters left: 6 (14 enodes) 29.755 * * [simplify]: iters left: 5 (51 enodes) 29.771 * * [simplify]: iters left: 4 (71 enodes) 29.796 * * [simplify]: iters left: 3 (88 enodes) 29.808 * * [simplify]: iters left: 2 (93 enodes) 29.820 * * [simplify]: Extracting #0: cost 1 inf + 0 29.820 * * [simplify]: Extracting #1: cost 4 inf + 0 29.820 * * [simplify]: Extracting #2: cost 7 inf + 0 29.820 * * [simplify]: Extracting #3: cost 10 inf + 0 29.820 * * [simplify]: Extracting #4: cost 20 inf + 1 29.820 * * [simplify]: Extracting #5: cost 29 inf + 4 29.820 * * [simplify]: Extracting #6: cost 29 inf + 338 29.820 * * [simplify]: Extracting #7: cost 25 inf + 465 29.821 * * [simplify]: Extracting #8: cost 11 inf + 2524 29.822 * * [simplify]: Extracting #9: cost 2 inf + 5195 29.823 * * [simplify]: Extracting #10: cost 0 inf + 5995 29.825 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 29.826 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J))))) 29.826 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 29.826 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 29.826 * * [simplify]: iters left: 6 (13 enodes) 29.833 * * [simplify]: iters left: 5 (47 enodes) 29.848 * * [simplify]: iters left: 4 (67 enodes) 29.868 * * [simplify]: iters left: 3 (84 enodes) 29.889 * * [simplify]: iters left: 2 (89 enodes) 29.905 * * [simplify]: Extracting #0: cost 1 inf + 0 29.905 * * [simplify]: Extracting #1: cost 3 inf + 0 29.905 * * [simplify]: Extracting #2: cost 5 inf + 0 29.905 * * [simplify]: Extracting #3: cost 8 inf + 0 29.905 * * [simplify]: Extracting #4: cost 18 inf + 1 29.905 * * [simplify]: Extracting #5: cost 27 inf + 4 29.906 * * [simplify]: Extracting #6: cost 27 inf + 338 29.906 * * [simplify]: Extracting #7: cost 23 inf + 465 29.906 * * [simplify]: Extracting #8: cost 12 inf + 2056 29.907 * * [simplify]: Extracting #9: cost 1 inf + 4715 29.908 * * [simplify]: Extracting #10: cost 0 inf + 5035 29.909 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 29.909 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J))))) 29.909 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 29.909 * [simplify]: Simplifying (sqrt 1) 29.909 * * [simplify]: iters left: 1 (2 enodes) 29.911 * * [simplify]: Extracting #0: cost 1 inf + 0 29.911 * * [simplify]: Extracting #1: cost 0 inf + 1 29.911 * [simplify]: Simplified to 1 29.911 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* 1 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))) 29.911 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 29.911 * [simplify]: Simplifying (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 29.912 * * [simplify]: iters left: 6 (11 enodes) 29.914 * * [simplify]: iters left: 5 (41 enodes) 29.921 * * [simplify]: iters left: 4 (61 enodes) 29.932 * * [simplify]: iters left: 3 (78 enodes) 29.953 * * [simplify]: iters left: 2 (83 enodes) 29.973 * * [simplify]: Extracting #0: cost 1 inf + 0 29.973 * * [simplify]: Extracting #1: cost 4 inf + 0 29.973 * * [simplify]: Extracting #2: cost 14 inf + 1 29.973 * * [simplify]: Extracting #3: cost 22 inf + 46 29.973 * * [simplify]: Extracting #4: cost 23 inf + 338 29.974 * * [simplify]: Extracting #5: cost 19 inf + 465 29.975 * * [simplify]: Extracting #6: cost 8 inf + 2055 29.976 * * [simplify]: Extracting #7: cost 0 inf + 3675 29.977 * [simplify]: Simplified to (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) 29.977 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (pow (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))) 29.978 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 29.978 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 29.978 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 29.978 * * [simplify]: iters left: 6 (12 enodes) 29.984 * * [simplify]: iters left: 5 (44 enodes) 29.998 * * [simplify]: iters left: 4 (64 enodes) 30.017 * * [simplify]: iters left: 3 (81 enodes) 30.042 * * [simplify]: iters left: 2 (86 enodes) 30.063 * * [simplify]: Extracting #0: cost 1 inf + 0 30.063 * * [simplify]: Extracting #1: cost 3 inf + 0 30.063 * * [simplify]: Extracting #2: cost 6 inf + 0 30.063 * * [simplify]: Extracting #3: cost 16 inf + 1 30.063 * * [simplify]: Extracting #4: cost 25 inf + 4 30.064 * * [simplify]: Extracting #5: cost 26 inf + 255 30.064 * * [simplify]: Extracting #6: cost 21 inf + 465 30.065 * * [simplify]: Extracting #7: cost 7 inf + 2565 30.066 * * [simplify]: Extracting #8: cost 1 inf + 4035 30.068 * * [simplify]: Extracting #9: cost 0 inf + 4315 30.069 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 30.069 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (fabs (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))))) 30.070 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 16 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (cos (/ K 2)) (* -2 J)))))> 30.070 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 30.070 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 30.071 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 30.071 * * [simplify]: iters left: 6 (14 enodes) 30.078 * * [simplify]: iters left: 5 (51 enodes) 30.093 * * [simplify]: iters left: 4 (71 enodes) 30.114 * * [simplify]: iters left: 3 (88 enodes) 30.137 * * [simplify]: iters left: 2 (93 enodes) 30.160 * * [simplify]: Extracting #0: cost 1 inf + 0 30.160 * * [simplify]: Extracting #1: cost 4 inf + 0 30.160 * * [simplify]: Extracting #2: cost 7 inf + 0 30.160 * * [simplify]: Extracting #3: cost 10 inf + 0 30.161 * * [simplify]: Extracting #4: cost 20 inf + 1 30.161 * * [simplify]: Extracting #5: cost 29 inf + 4 30.161 * * [simplify]: Extracting #6: cost 29 inf + 338 30.161 * * [simplify]: Extracting #7: cost 25 inf + 465 30.162 * * [simplify]: Extracting #8: cost 11 inf + 2524 30.164 * * [simplify]: Extracting #9: cost 2 inf + 5195 30.166 * * [simplify]: Extracting #10: cost 0 inf + 5995 30.168 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 30.168 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 30.168 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 30.169 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 30.169 * * [simplify]: iters left: 6 (13 enodes) 30.176 * * [simplify]: iters left: 5 (47 enodes) 30.194 * * [simplify]: iters left: 4 (67 enodes) 30.214 * * [simplify]: iters left: 3 (84 enodes) 30.229 * * [simplify]: iters left: 2 (89 enodes) 30.240 * * [simplify]: Extracting #0: cost 1 inf + 0 30.240 * * [simplify]: Extracting #1: cost 3 inf + 0 30.240 * * [simplify]: Extracting #2: cost 5 inf + 0 30.240 * * [simplify]: Extracting #3: cost 8 inf + 0 30.240 * * [simplify]: Extracting #4: cost 18 inf + 1 30.241 * * [simplify]: Extracting #5: cost 27 inf + 4 30.241 * * [simplify]: Extracting #6: cost 27 inf + 338 30.241 * * [simplify]: Extracting #7: cost 23 inf + 465 30.241 * * [simplify]: Extracting #8: cost 12 inf + 2056 30.242 * * [simplify]: Extracting #9: cost 1 inf + 4715 30.243 * * [simplify]: Extracting #10: cost 0 inf + 5035 30.244 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 30.244 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 30.244 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 30.244 * [simplify]: Simplifying (sqrt 1) 30.244 * * [simplify]: iters left: 1 (2 enodes) 30.246 * * [simplify]: Extracting #0: cost 1 inf + 0 30.246 * * [simplify]: Extracting #1: cost 0 inf + 1 30.246 * [simplify]: Simplified to 1 30.246 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 30.246 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 30.246 * [simplify]: Simplifying (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))) 30.246 * * [simplify]: iters left: 6 (11 enodes) 30.249 * * [simplify]: iters left: 5 (41 enodes) 30.256 * * [simplify]: iters left: 4 (61 enodes) 30.265 * * [simplify]: iters left: 3 (78 enodes) 30.275 * * [simplify]: iters left: 2 (83 enodes) 30.292 * * [simplify]: Extracting #0: cost 1 inf + 0 30.292 * * [simplify]: Extracting #1: cost 4 inf + 0 30.292 * * [simplify]: Extracting #2: cost 14 inf + 1 30.292 * * [simplify]: Extracting #3: cost 22 inf + 46 30.292 * * [simplify]: Extracting #4: cost 23 inf + 338 30.293 * * [simplify]: Extracting #5: cost 19 inf + 465 30.293 * * [simplify]: Extracting #6: cost 8 inf + 2055 30.295 * * [simplify]: Extracting #7: cost 0 inf + 3675 30.296 * [simplify]: Simplified to (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) 30.296 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (pow (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ 1 2)) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 30.296 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 30.297 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 30.297 * [simplify]: Simplifying (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) 30.297 * * [simplify]: iters left: 6 (12 enodes) 30.304 * * [simplify]: iters left: 5 (44 enodes) 30.318 * * [simplify]: iters left: 4 (64 enodes) 30.336 * * [simplify]: iters left: 3 (81 enodes) 30.356 * * [simplify]: iters left: 2 (86 enodes) 30.367 * * [simplify]: Extracting #0: cost 1 inf + 0 30.367 * * [simplify]: Extracting #1: cost 3 inf + 0 30.367 * * [simplify]: Extracting #2: cost 6 inf + 0 30.367 * * [simplify]: Extracting #3: cost 16 inf + 1 30.367 * * [simplify]: Extracting #4: cost 25 inf + 4 30.367 * * [simplify]: Extracting #5: cost 26 inf + 255 30.367 * * [simplify]: Extracting #6: cost 21 inf + 465 30.368 * * [simplify]: Extracting #7: cost 7 inf + 2565 30.368 * * [simplify]: Extracting #8: cost 1 inf + 4035 30.369 * * [simplify]: Extracting #9: cost 0 inf + 4315 30.370 * [simplify]: Simplified to (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 30.370 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (fabs (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 30.370 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 30.370 * * * * [progress]: [ 32 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))> 30.370 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 30.370 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 30.370 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 30.370 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 30.370 * * [simplify]: iters left: 6 (17 enodes) 30.375 * * [simplify]: iters left: 5 (69 enodes) 30.395 * * [simplify]: iters left: 4 (121 enodes) 30.440 * * [simplify]: iters left: 3 (201 enodes) 30.513 * * [simplify]: iters left: 2 (281 enodes) 30.574 * * [simplify]: iters left: 1 (291 enodes) 30.621 * * [simplify]: Extracting #0: cost 1 inf + 0 30.621 * * [simplify]: Extracting #1: cost 24 inf + 0 30.621 * * [simplify]: Extracting #2: cost 44 inf + 44 30.622 * * [simplify]: Extracting #3: cost 53 inf + 87 30.623 * * [simplify]: Extracting #4: cost 53 inf + 967 30.628 * * [simplify]: Extracting #5: cost 18 inf + 10287 30.636 * * [simplify]: Extracting #6: cost 0 inf + 15390 30.645 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 30.645 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 30.645 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 30.646 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 30.646 * * [simplify]: iters left: 6 (17 enodes) 30.655 * * [simplify]: iters left: 5 (69 enodes) 30.678 * * [simplify]: iters left: 4 (121 enodes) 30.718 * * [simplify]: iters left: 3 (201 enodes) 30.795 * * [simplify]: iters left: 2 (281 enodes) 30.862 * * [simplify]: iters left: 1 (291 enodes) 30.927 * * [simplify]: Extracting #0: cost 1 inf + 0 30.928 * * [simplify]: Extracting #1: cost 24 inf + 0 30.928 * * [simplify]: Extracting #2: cost 44 inf + 44 30.928 * * [simplify]: Extracting #3: cost 53 inf + 87 30.929 * * [simplify]: Extracting #4: cost 53 inf + 967 30.934 * * [simplify]: Extracting #5: cost 18 inf + 10287 30.943 * * [simplify]: Extracting #6: cost 0 inf + 15390 30.952 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 30.952 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 30.952 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 30.953 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 30.953 * * [simplify]: iters left: 6 (17 enodes) 30.962 * * [simplify]: iters left: 5 (69 enodes) 30.976 * * [simplify]: iters left: 4 (121 enodes) 30.999 * * [simplify]: iters left: 3 (201 enodes) 31.050 * * [simplify]: iters left: 2 (281 enodes) 31.135 * * [simplify]: iters left: 1 (291 enodes) 31.185 * * [simplify]: Extracting #0: cost 1 inf + 0 31.185 * * [simplify]: Extracting #1: cost 24 inf + 0 31.185 * * [simplify]: Extracting #2: cost 44 inf + 44 31.186 * * [simplify]: Extracting #3: cost 53 inf + 87 31.187 * * [simplify]: Extracting #4: cost 53 inf + 967 31.191 * * [simplify]: Extracting #5: cost 18 inf + 10287 31.200 * * [simplify]: Extracting #6: cost 0 inf + 15390 31.209 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 31.209 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 31.210 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 31.210 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) 31.210 * * [simplify]: iters left: 6 (17 enodes) 31.219 * * [simplify]: iters left: 5 (69 enodes) 31.242 * * [simplify]: iters left: 4 (121 enodes) 31.270 * * [simplify]: iters left: 3 (201 enodes) 31.333 * * [simplify]: iters left: 2 (281 enodes) 31.413 * * [simplify]: iters left: 1 (291 enodes) 31.461 * * [simplify]: Extracting #0: cost 1 inf + 0 31.461 * * [simplify]: Extracting #1: cost 24 inf + 0 31.461 * * [simplify]: Extracting #2: cost 44 inf + 44 31.462 * * [simplify]: Extracting #3: cost 53 inf + 87 31.463 * * [simplify]: Extracting #4: cost 53 inf + 967 31.467 * * [simplify]: Extracting #5: cost 18 inf + 10287 31.476 * * [simplify]: Extracting #6: cost 0 inf + 15390 31.485 * [simplify]: Simplified to (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 31.485 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (cos (/ K 2)) J)) 1)) 31.485 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 31.486 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 31.486 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))) 31.486 * * [simplify]: iters left: 6 (21 enodes) 31.498 * * [simplify]: iters left: 5 (81 enodes) 31.520 * * [simplify]: iters left: 4 (137 enodes) 31.547 * * [simplify]: iters left: 3 (226 enodes) 31.630 * * [simplify]: iters left: 2 (301 enodes) 31.683 * * [simplify]: iters left: 1 (316 enodes) 31.751 * * [simplify]: Extracting #0: cost 1 inf + 0 31.751 * * [simplify]: Extracting #1: cost 24 inf + 0 31.751 * * [simplify]: Extracting #2: cost 50 inf + 0 31.752 * * [simplify]: Extracting #3: cost 50 inf + 144 31.752 * * [simplify]: Extracting #4: cost 53 inf + 468 31.752 * * [simplify]: Extracting #5: cost 54 inf + 839 31.753 * * [simplify]: Extracting #6: cost 56 inf + 2118 31.754 * * [simplify]: Extracting #7: cost 34 inf + 10041 31.759 * * [simplify]: Extracting #8: cost 2 inf + 24453 31.765 * * [simplify]: Extracting #9: cost 0 inf + 25644 31.771 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) 31.771 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log J) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))))) 31.771 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 31.771 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J))))) 31.771 * * [simplify]: iters left: 6 (20 enodes) 31.779 * * [simplify]: iters left: 5 (79 enodes) 31.804 * * [simplify]: iters left: 4 (128 enodes) 31.848 * * [simplify]: iters left: 3 (208 enodes) 31.887 * * [simplify]: iters left: 2 (300 enodes) 31.964 * * [simplify]: iters left: 1 (337 enodes) 32.029 * * [simplify]: Extracting #0: cost 1 inf + 0 32.030 * * [simplify]: Extracting #1: cost 24 inf + 0 32.030 * * [simplify]: Extracting #2: cost 51 inf + 0 32.030 * * [simplify]: Extracting #3: cost 51 inf + 227 32.031 * * [simplify]: Extracting #4: cost 52 inf + 594 32.032 * * [simplify]: Extracting #5: cost 54 inf + 783 32.036 * * [simplify]: Extracting #6: cost 55 inf + 2386 32.038 * * [simplify]: Extracting #7: cost 41 inf + 5850 32.041 * * [simplify]: Extracting #8: cost 23 inf + 11837 32.051 * * [simplify]: Extracting #9: cost 2 inf + 24017 32.063 * * [simplify]: Extracting #10: cost 0 inf + 24888 32.075 * [simplify]: Simplified to (+ (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log (cos (/ K 2))) (log (* J -2)))) 32.075 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) (+ (log (cos (/ K 2))) (log (* J -2)))))) 32.075 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 32.076 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (cos (/ K 2)) (* -2 J))))) 32.076 * * [simplify]: iters left: 6 (19 enodes) 32.086 * * [simplify]: iters left: 5 (76 enodes) 32.111 * * [simplify]: iters left: 4 (122 enodes) 32.148 * * [simplify]: iters left: 3 (185 enodes) 32.211 * * [simplify]: iters left: 2 (279 enodes) 32.291 * * [simplify]: iters left: 1 (336 enodes) 32.350 * * [simplify]: Extracting #0: cost 1 inf + 0 32.350 * * [simplify]: Extracting #1: cost 24 inf + 0 32.350 * * [simplify]: Extracting #2: cost 54 inf + 0 32.350 * * [simplify]: Extracting #3: cost 58 inf + 144 32.351 * * [simplify]: Extracting #4: cost 59 inf + 692 32.352 * * [simplify]: Extracting #5: cost 58 inf + 1281 32.353 * * [simplify]: Extracting #6: cost 54 inf + 3356 32.355 * * [simplify]: Extracting #7: cost 43 inf + 5376 32.357 * * [simplify]: Extracting #8: cost 33 inf + 7183 32.361 * * [simplify]: Extracting #9: cost 20 inf + 13342 32.371 * * [simplify]: Extracting #10: cost 1 inf + 23541 32.382 * * [simplify]: Extracting #11: cost 0 inf + 24122 32.394 * [simplify]: Simplified to (+ (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))) (+ (log (* (* J -2) (cos (/ K 2)))) (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))))) 32.394 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))) (+ (log (* (* J -2) (cos (/ K 2)))) (log (sqrt (hypot 1 (/ U (* 2 (* (cos (/ K 2)) J)))))))))) 32.394 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 32.395 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 32.395 * * [simplify]: iters left: 6 (19 enodes) 32.404 * * [simplify]: iters left: 5 (75 enodes) 32.424 * * [simplify]: iters left: 4 (131 enodes) 32.444 * * [simplify]: iters left: 3 (213 enodes) 32.493 * * [simplify]: iters left: 2 (315 enodes) 32.553 * * [simplify]: iters left: 1 (378 enodes) 32.641 * * [simplify]: Extracting #0: cost 1 inf + 0 32.641 * * [simplify]: Extracting #1: cost 24 inf + 0 32.642 * * [simplify]: Extracting #2: cost 61 inf + 0 32.642 * * [simplify]: Extracting #3: cost 71 inf + 227 32.642 * * [simplify]: Extracting #4: cost 72 inf + 594 32.643 * * [simplify]: Extracting #5: cost 71 inf + 1383 32.643 * * [simplify]: Extracting #6: cost 64 inf + 4079 32.647 * * [simplify]: Extracting #7: cost 23 inf + 20043 32.655 * * [simplify]: Extracting #8: cost 1 inf + 27870 32.662 * * [simplify]: Extracting #9: cost 0 inf + 28270 32.671 * [simplify]: Simplified to (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))) (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))))) 32.671 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))) (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))))))) 32.672 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 32.672 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 32.672 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 32.672 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))) 32.673 * * [simplify]: iters left: 6 (25 enodes) 32.687 * * [simplify]: iters left: 5 (106 enodes) 32.729 * * [simplify]: iters left: 4 (287 enodes) 32.848 * * [simplify]: Extracting #0: cost 1 inf + 0 32.848 * * [simplify]: Extracting #1: cost 61 inf + 0 32.849 * * [simplify]: Extracting #2: cost 320 inf + 247 32.850 * * [simplify]: Extracting #3: cost 366 inf + 1645 32.855 * * [simplify]: Extracting #4: cost 281 inf + 24399 32.880 * * [simplify]: Extracting #5: cost 94 inf + 103192 32.948 * * [simplify]: Extracting #6: cost 2 inf + 147718 33.019 * * [simplify]: Extracting #7: cost 0 inf + 148880 33.064 * [simplify]: Simplified to (* (* (* (* -8 (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* J J) J) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) 33.064 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* -8 (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* J J) J) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) 33.065 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 33.065 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))) 33.065 * * [simplify]: iters left: 6 (23 enodes) 33.073 * * [simplify]: iters left: 5 (104 enodes) 33.113 * * [simplify]: iters left: 4 (285 enodes) 33.282 * * [simplify]: Extracting #0: cost 1 inf + 0 33.282 * * [simplify]: Extracting #1: cost 65 inf + 0 33.283 * * [simplify]: Extracting #2: cost 302 inf + 2 33.284 * * [simplify]: Extracting #3: cost 345 inf + 906 33.286 * * [simplify]: Extracting #4: cost 334 inf + 2313 33.292 * * [simplify]: Extracting #5: cost 238 inf + 29983 33.314 * * [simplify]: Extracting #6: cost 80 inf + 100050 33.373 * * [simplify]: Extracting #7: cost 3 inf + 139298 33.419 * * [simplify]: Extracting #8: cost 0 inf + 140941 33.457 * [simplify]: Simplified to (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))) 33.458 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (* (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))))) 33.458 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 33.458 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))) 33.458 * * [simplify]: iters left: 6 (21 enodes) 33.464 * * [simplify]: iters left: 5 (94 enodes) 33.494 * * [simplify]: iters left: 4 (282 enodes) 33.664 * * [simplify]: Extracting #0: cost 1 inf + 0 33.664 * * [simplify]: Extracting #1: cost 60 inf + 0 33.665 * * [simplify]: Extracting #2: cost 319 inf + 167 33.667 * * [simplify]: Extracting #3: cost 357 inf + 1486 33.671 * * [simplify]: Extracting #4: cost 281 inf + 22659 33.693 * * [simplify]: Extracting #5: cost 107 inf + 92176 33.732 * * [simplify]: Extracting #6: cost 3 inf + 144828 33.770 * * [simplify]: Extracting #7: cost 0 inf + 146431 33.809 * [simplify]: Simplified to (* (* (* (* (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) 33.809 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))))) 33.809 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 33.810 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 33.810 * * [simplify]: iters left: 6 (21 enodes) 33.816 * * [simplify]: iters left: 5 (91 enodes) 33.837 * * [simplify]: iters left: 4 (264 enodes) 34.027 * * [simplify]: Extracting #0: cost 1 inf + 0 34.028 * * [simplify]: Extracting #1: cost 56 inf + 0 34.029 * * [simplify]: Extracting #2: cost 347 inf + 44 34.030 * * [simplify]: Extracting #3: cost 386 inf + 835 34.037 * * [simplify]: Extracting #4: cost 333 inf + 15438 34.072 * * [simplify]: Extracting #5: cost 150 inf + 94826 34.153 * * [simplify]: Extracting #6: cost 2 inf + 170860 34.209 * * [simplify]: Extracting #7: cost 0 inf + 171942 34.295 * [simplify]: Simplified to (* (* (* (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))))) 34.295 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (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))))))) 34.295 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 34.295 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 34.295 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 34.295 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 34.295 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 34.296 * [simplify]: Simplifying (* (cos (/ K 2)) (* -2 J)) 34.296 * * [simplify]: iters left: 5 (8 enodes) 34.301 * * [simplify]: iters left: 4 (28 enodes) 34.310 * * [simplify]: iters left: 3 (36 enodes) 34.321 * * [simplify]: iters left: 2 (42 enodes) 34.333 * * [simplify]: Extracting #0: cost 1 inf + 0 34.333 * * [simplify]: Extracting #1: cost 8 inf + 0 34.333 * * [simplify]: Extracting #2: cost 10 inf + 44 34.333 * * [simplify]: Extracting #3: cost 12 inf + 86 34.333 * * [simplify]: Extracting #4: cost 10 inf + 88 34.333 * * [simplify]: Extracting #5: cost 5 inf + 601 34.333 * * [simplify]: Extracting #6: cost 1 inf + 1173 34.334 * * [simplify]: Extracting #7: cost 0 inf + 1316 34.334 * [simplify]: Simplified to (* (cos (/ K 2)) (* -2 J)) 34.334 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))) 34.334 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 34.334 * [simplify]: Simplifying (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 34.334 * * [simplify]: iters left: 6 (14 enodes) 34.338 * * [simplify]: iters left: 5 (50 enodes) 34.345 * * [simplify]: iters left: 4 (70 enodes) 34.356 * * [simplify]: iters left: 3 (87 enodes) 34.371 * * [simplify]: iters left: 2 (92 enodes) 34.395 * * [simplify]: Extracting #0: cost 1 inf + 0 34.395 * * [simplify]: Extracting #1: cost 3 inf + 0 34.395 * * [simplify]: Extracting #2: cost 5 inf + 0 34.395 * * [simplify]: Extracting #3: cost 7 inf + 0 34.395 * * [simplify]: Extracting #4: cost 10 inf + 0 34.395 * * [simplify]: Extracting #5: cost 20 inf + 1 34.395 * * [simplify]: Extracting #6: cost 27 inf + 129 34.396 * * [simplify]: Extracting #7: cost 29 inf + 338 34.396 * * [simplify]: Extracting #8: cost 25 inf + 465 34.397 * * [simplify]: Extracting #9: cost 15 inf + 1912 34.399 * * [simplify]: Extracting #10: cost 2 inf + 5155 34.401 * * [simplify]: Extracting #11: cost 0 inf + 5995 34.403 * [simplify]: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) 34.403 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 34.403 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 34.404 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 34.404 * * [simplify]: iters left: 6 (14 enodes) 34.411 * * [simplify]: iters left: 5 (51 enodes) 34.426 * * [simplify]: iters left: 4 (71 enodes) 34.449 * * [simplify]: iters left: 3 (88 enodes) 34.460 * * [simplify]: iters left: 2 (93 enodes) 34.472 * * [simplify]: Extracting #0: cost 1 inf + 0 34.472 * * [simplify]: Extracting #1: cost 4 inf + 0 34.472 * * [simplify]: Extracting #2: cost 7 inf + 0 34.472 * * [simplify]: Extracting #3: cost 10 inf + 0 34.472 * * [simplify]: Extracting #4: cost 20 inf + 1 34.472 * * [simplify]: Extracting #5: cost 29 inf + 4 34.473 * * [simplify]: Extracting #6: cost 29 inf + 338 34.473 * * [simplify]: Extracting #7: cost 25 inf + 465 34.473 * * [simplify]: Extracting #8: cost 11 inf + 2524 34.474 * * [simplify]: Extracting #9: cost 2 inf + 5195 34.476 * * [simplify]: Extracting #10: cost 0 inf + 5995 34.478 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 34.478 * [simplify]: Simplified (2 1) to (λ (J K U) (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 34.478 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 34.479 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 34.479 * * [simplify]: iters left: 6 (13 enodes) 34.486 * * [simplify]: iters left: 5 (47 enodes) 34.501 * * [simplify]: iters left: 4 (67 enodes) 34.512 * * [simplify]: iters left: 3 (84 enodes) 34.523 * * [simplify]: iters left: 2 (89 enodes) 34.535 * * [simplify]: Extracting #0: cost 1 inf + 0 34.535 * * [simplify]: Extracting #1: cost 3 inf + 0 34.535 * * [simplify]: Extracting #2: cost 5 inf + 0 34.535 * * [simplify]: Extracting #3: cost 8 inf + 0 34.535 * * [simplify]: Extracting #4: cost 18 inf + 1 34.536 * * [simplify]: Extracting #5: cost 27 inf + 4 34.536 * * [simplify]: Extracting #6: cost 27 inf + 338 34.536 * * [simplify]: Extracting #7: cost 23 inf + 465 34.537 * * [simplify]: Extracting #8: cost 12 inf + 2056 34.539 * * [simplify]: Extracting #9: cost 1 inf + 4715 34.543 * * [simplify]: Extracting #10: cost 0 inf + 5035 34.545 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 34.545 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 34.546 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 34.546 * [simplify]: Simplifying (sqrt 1) 34.546 * * [simplify]: iters left: 1 (2 enodes) 34.549 * * [simplify]: Extracting #0: cost 1 inf + 0 34.550 * * [simplify]: Extracting #1: cost 0 inf + 1 34.550 * [simplify]: Simplified to 1 34.550 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 34.550 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 34.550 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 34.550 * * [simplify]: iters left: 6 (13 enodes) 34.553 * * [simplify]: iters left: 5 (47 enodes) 34.561 * * [simplify]: iters left: 4 (67 enodes) 34.571 * * [simplify]: iters left: 3 (84 enodes) 34.585 * * [simplify]: iters left: 2 (89 enodes) 34.602 * * [simplify]: Extracting #0: cost 1 inf + 0 34.602 * * [simplify]: Extracting #1: cost 3 inf + 0 34.602 * * [simplify]: Extracting #2: cost 5 inf + 0 34.602 * * [simplify]: Extracting #3: cost 8 inf + 0 34.602 * * [simplify]: Extracting #4: cost 18 inf + 1 34.602 * * [simplify]: Extracting #5: cost 27 inf + 4 34.602 * * [simplify]: Extracting #6: cost 27 inf + 338 34.602 * * [simplify]: Extracting #7: cost 23 inf + 465 34.603 * * [simplify]: Extracting #8: cost 12 inf + 2056 34.603 * * [simplify]: Extracting #9: cost 1 inf + 4715 34.604 * * [simplify]: Extracting #10: cost 0 inf + 5035 34.605 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 34.605 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 34.605 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 34.605 * * * * [progress]: [ 61 / 101 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))))> 34.605 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 34.605 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 34.605 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 34.606 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 34.606 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 34.606 * * [simplify]: iters left: 6 (16 enodes) 34.610 * * [simplify]: iters left: 5 (63 enodes) 34.621 * * [simplify]: iters left: 4 (105 enodes) 34.645 * * [simplify]: iters left: 3 (151 enodes) 34.673 * * [simplify]: iters left: 2 (172 enodes) 34.714 * * [simplify]: Extracting #0: cost 1 inf + 0 34.714 * * [simplify]: Extracting #1: cost 16 inf + 0 34.714 * * [simplify]: Extracting #2: cost 27 inf + 44 34.714 * * [simplify]: Extracting #3: cost 32 inf + 86 34.715 * * [simplify]: Extracting #4: cost 36 inf + 131 34.715 * * [simplify]: Extracting #5: cost 33 inf + 1583 34.717 * * [simplify]: Extracting #6: cost 23 inf + 3220 34.720 * * [simplify]: Extracting #7: cost 9 inf + 6976 34.724 * * [simplify]: Extracting #8: cost 0 inf + 10502 34.729 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 34.729 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))) 34.729 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 34.730 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 34.730 * * [simplify]: iters left: 6 (16 enodes) 34.739 * * [simplify]: iters left: 5 (63 enodes) 34.764 * * [simplify]: iters left: 4 (105 enodes) 34.792 * * [simplify]: iters left: 3 (151 enodes) 34.815 * * [simplify]: iters left: 2 (172 enodes) 34.844 * * [simplify]: Extracting #0: cost 1 inf + 0 34.844 * * [simplify]: Extracting #1: cost 16 inf + 0 34.844 * * [simplify]: Extracting #2: cost 27 inf + 44 34.844 * * [simplify]: Extracting #3: cost 32 inf + 86 34.845 * * [simplify]: Extracting #4: cost 36 inf + 131 34.845 * * [simplify]: Extracting #5: cost 33 inf + 1583 34.846 * * [simplify]: Extracting #6: cost 23 inf + 3220 34.847 * * [simplify]: Extracting #7: cost 9 inf + 6976 34.849 * * [simplify]: Extracting #8: cost 0 inf + 10502 34.852 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 34.852 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))) 34.852 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 34.852 * [simplify]: Simplifying (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))) 34.852 * * [simplify]: iters left: 6 (16 enodes) 34.860 * * [simplify]: iters left: 5 (63 enodes) 34.878 * * [simplify]: iters left: 4 (105 enodes) 34.894 * * [simplify]: iters left: 3 (151 enodes) 34.924 * * [simplify]: iters left: 2 (172 enodes) 35.338 * * [simplify]: Extracting #0: cost 1 inf + 0 35.338 * * [simplify]: Extracting #1: cost 16 inf + 0 35.338 * * [simplify]: Extracting #2: cost 27 inf + 44 35.338 * * [simplify]: Extracting #3: cost 32 inf + 86 35.339 * * [simplify]: Extracting #4: cost 36 inf + 131 35.339 * * [simplify]: Extracting #5: cost 33 inf + 1583 35.341 * * [simplify]: Extracting #6: cost 23 inf + 3220 35.344 * * [simplify]: Extracting #7: cost 9 inf + 6976 35.349 * * [simplify]: Extracting #8: cost 0 inf + 10502 35.353 * [simplify]: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 35.354 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1))) 35.354 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 35.354 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 35.354 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) 35.354 * * [simplify]: iters left: 6 (20 enodes) 35.360 * * [simplify]: iters left: 5 (75 enodes) 35.372 * * [simplify]: iters left: 4 (119 enodes) 35.398 * * [simplify]: iters left: 3 (172 enodes) 35.446 * * [simplify]: iters left: 2 (193 enodes) 35.481 * * [simplify]: Extracting #0: cost 1 inf + 0 35.482 * * [simplify]: Extracting #1: cost 16 inf + 0 35.482 * * [simplify]: Extracting #2: cost 34 inf + 0 35.482 * * [simplify]: Extracting #3: cost 34 inf + 144 35.482 * * [simplify]: Extracting #4: cost 37 inf + 468 35.482 * * [simplify]: Extracting #5: cost 39 inf + 737 35.482 * * [simplify]: Extracting #6: cost 43 inf + 1572 35.484 * * [simplify]: Extracting #7: cost 22 inf + 6812 35.486 * * [simplify]: Extracting #8: cost 2 inf + 15115 35.489 * * [simplify]: Extracting #9: cost 0 inf + 16116 35.491 * [simplify]: Simplified to (+ (+ (log -2) (log J)) (+ (log (sqrt (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) (log (cos (/ K 2))))) 35.491 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (exp (+ (+ (log -2) (log J)) (+ (log (sqrt (hypot 1 (/ (/ U (* (cos (/ K 2)) 2)) J)))) (log (cos (/ K 2)))))))) 35.492 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 35.492 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) 35.492 * * [simplify]: iters left: 6 (19 enodes) 35.497 * * [simplify]: iters left: 5 (73 enodes) 35.508 * * [simplify]: iters left: 4 (112 enodes) 35.539 * * [simplify]: iters left: 3 (161 enodes) 35.564 * * [simplify]: iters left: 2 (197 enodes) 35.591 * * [simplify]: iters left: 1 (200 enodes) 35.617 * * [simplify]: Extracting #0: cost 1 inf + 0 35.617 * * [simplify]: Extracting #1: cost 17 inf + 0 35.617 * * [simplify]: Extracting #2: cost 36 inf + 0 35.618 * * [simplify]: Extracting #3: cost 36 inf + 227 35.618 * * [simplify]: Extracting #4: cost 37 inf + 594 35.618 * * [simplify]: Extracting #5: cost 39 inf + 783 35.618 * * [simplify]: Extracting #6: cost 40 inf + 2386 35.620 * * [simplify]: Extracting #7: cost 16 inf + 11613 35.623 * * [simplify]: Extracting #8: cost 0 inf + 16251 35.629 * [simplify]: Simplified to (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (+ (log (cos (/ K 2))) (log (* J -2)))) 35.629 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (exp (+ (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J))))) (+ (log (cos (/ K 2))) (log (* J -2))))))) 35.629 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 35.629 * [simplify]: Simplifying (+ (log (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) 35.630 * * [simplify]: iters left: 6 (18 enodes) 35.639 * * [simplify]: iters left: 5 (70 enodes) 35.652 * * [simplify]: iters left: 4 (111 enodes) 35.670 * * [simplify]: iters left: 3 (159 enodes) 35.697 * * [simplify]: iters left: 2 (205 enodes) 35.730 * * [simplify]: iters left: 1 (219 enodes) 35.777 * * [simplify]: Extracting #0: cost 1 inf + 0 35.777 * * [simplify]: Extracting #1: cost 16 inf + 0 35.777 * * [simplify]: Extracting #2: cost 38 inf + 0 35.777 * * [simplify]: Extracting #3: cost 42 inf + 144 35.777 * * [simplify]: Extracting #4: cost 45 inf + 299 35.778 * * [simplify]: Extracting #5: cost 39 inf + 1720 35.778 * * [simplify]: Extracting #6: cost 34 inf + 4079 35.780 * * [simplify]: Extracting #7: cost 19 inf + 8020 35.782 * * [simplify]: Extracting #8: cost 0 inf + 15294 35.785 * [simplify]: Simplified to (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2)))))) 35.786 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (exp (+ (log (* (* (cos (/ K 2)) J) -2)) (log (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) J) 2))))))))) 35.786 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 35.786 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 35.786 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 35.786 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) 35.786 * * [simplify]: iters left: 6 (24 enodes) 35.793 * * [simplify]: iters left: 5 (98 enodes) 35.822 * * [simplify]: iters left: 4 (236 enodes) 35.944 * * [simplify]: Extracting #0: cost 1 inf + 0 35.944 * * [simplify]: Extracting #1: cost 58 inf + 0 35.945 * * [simplify]: Extracting #2: cost 244 inf + 330 35.946 * * [simplify]: Extracting #3: cost 260 inf + 1686 35.948 * * [simplify]: Extracting #4: cost 217 inf + 9830 35.954 * * [simplify]: Extracting #5: cost 143 inf + 27648 35.964 * * [simplify]: Extracting #6: cost 84 inf + 53465 35.985 * * [simplify]: Extracting #7: cost 6 inf + 92412 36.010 * * [simplify]: Extracting #8: cost 0 inf + 95494 36.054 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (* -8 J) (* J J))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (cos (/ K 2)))) (cos (/ K 2)))) 36.054 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (* (* (cos (/ K 2)) (* (* -8 J) (* J J))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (hypot 1 (/ (/ (/ U J) (cos (/ K 2))) 2)) (cos (/ K 2)))) (cos (/ K 2))))))) 36.055 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 36.055 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) 36.055 * * [simplify]: iters left: 6 (22 enodes) 36.068 * * [simplify]: iters left: 5 (96 enodes) 36.104 * * [simplify]: iters left: 4 (236 enodes) 36.214 * * [simplify]: Extracting #0: cost 1 inf + 0 36.214 * * [simplify]: Extracting #1: cost 57 inf + 0 36.215 * * [simplify]: Extracting #2: cost 222 inf + 290 36.216 * * [simplify]: Extracting #3: cost 235 inf + 1850 36.219 * * [simplify]: Extracting #4: cost 195 inf + 12481 36.228 * * [simplify]: Extracting #5: cost 80 inf + 48724 36.252 * * [simplify]: Extracting #6: cost 4 inf + 86996 36.279 * * [simplify]: Extracting #7: cost 0 inf + 89239 36.304 * [simplify]: Simplified to (* (* (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))))) 36.305 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (* (* (sqrt (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (hypot 1 (/ U (* (* (cos (/ K 2)) 2) J)))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2)))))))) 36.305 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 36.306 * [simplify]: Simplifying (* (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) 36.306 * * [simplify]: iters left: 6 (20 enodes) 36.318 * * [simplify]: iters left: 5 (86 enodes) 36.340 * * [simplify]: iters left: 4 (235 enodes) 36.465 * * [simplify]: Extracting #0: cost 1 inf + 0 36.466 * * [simplify]: Extracting #1: cost 52 inf + 0 36.467 * * [simplify]: Extracting #2: cost 260 inf + 85 36.470 * * [simplify]: Extracting #3: cost 280 inf + 663 36.473 * * [simplify]: Extracting #4: cost 260 inf + 4789 36.484 * * [simplify]: Extracting #5: cost 159 inf + 31274 36.506 * * [simplify]: Extracting #6: cost 89 inf + 58269 36.541 * * [simplify]: Extracting #7: cost 11 inf + 97468 36.564 * * [simplify]: Extracting #8: cost 0 inf + 103039 36.601 * [simplify]: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (* (* J -2) (cos (/ K 2))))) 36.601 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))) (* (* J -2) (cos (/ K 2)))))))) 36.602 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 36.602 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 36.602 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 36.602 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 36.602 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 36.602 * [simplify]: Simplifying (* -2 J) 36.602 * * [simplify]: iters left: 2 (3 enodes) 36.604 * * [simplify]: iters left: 1 (10 enodes) 36.607 * * [simplify]: Extracting #0: cost 1 inf + 0 36.608 * * [simplify]: Extracting #1: cost 4 inf + 0 36.608 * * [simplify]: Extracting #2: cost 2 inf + 2 36.608 * * [simplify]: Extracting #3: cost 0 inf + 86 36.608 * [simplify]: Simplified to (* -2 J) 36.608 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cos (/ K 2))) (* -2 J)))) 36.608 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 36.608 * [simplify]: Simplifying (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 36.608 * * [simplify]: iters left: 6 (14 enodes) 36.616 * * [simplify]: iters left: 5 (50 enodes) 36.632 * * [simplify]: iters left: 4 (70 enodes) 36.652 * * [simplify]: iters left: 3 (87 enodes) 36.664 * * [simplify]: iters left: 2 (92 enodes) 36.676 * * [simplify]: Extracting #0: cost 1 inf + 0 36.676 * * [simplify]: Extracting #1: cost 3 inf + 0 36.676 * * [simplify]: Extracting #2: cost 5 inf + 0 36.676 * * [simplify]: Extracting #3: cost 7 inf + 0 36.676 * * [simplify]: Extracting #4: cost 10 inf + 0 36.676 * * [simplify]: Extracting #5: cost 20 inf + 1 36.676 * * [simplify]: Extracting #6: cost 27 inf + 129 36.676 * * [simplify]: Extracting #7: cost 29 inf + 338 36.677 * * [simplify]: Extracting #8: cost 25 inf + 465 36.677 * * [simplify]: Extracting #9: cost 15 inf + 1912 36.678 * * [simplify]: Extracting #10: cost 2 inf + 5155 36.680 * * [simplify]: Extracting #11: cost 0 inf + 5995 36.682 * [simplify]: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) 36.682 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 36.683 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 36.683 * [simplify]: Simplifying (sqrt (* (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))))) 36.683 * * [simplify]: iters left: 6 (14 enodes) 36.690 * * [simplify]: iters left: 5 (51 enodes) 36.702 * * [simplify]: iters left: 4 (71 enodes) 36.712 * * [simplify]: iters left: 3 (88 enodes) 36.725 * * [simplify]: iters left: 2 (93 enodes) 36.749 * * [simplify]: Extracting #0: cost 1 inf + 0 36.749 * * [simplify]: Extracting #1: cost 4 inf + 0 36.749 * * [simplify]: Extracting #2: cost 7 inf + 0 36.749 * * [simplify]: Extracting #3: cost 10 inf + 0 36.750 * * [simplify]: Extracting #4: cost 20 inf + 1 36.750 * * [simplify]: Extracting #5: cost 29 inf + 4 36.750 * * [simplify]: Extracting #6: cost 29 inf + 338 36.750 * * [simplify]: Extracting #7: cost 25 inf + 465 36.751 * * [simplify]: Extracting #8: cost 11 inf + 2524 36.753 * * [simplify]: Extracting #9: cost 2 inf + 5195 36.755 * * [simplify]: Extracting #10: cost 0 inf + 5995 36.757 * [simplify]: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) 36.757 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (fabs (cbrt (hypot 1 (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (sqrt (cbrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 36.758 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 36.758 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 36.758 * * [simplify]: iters left: 6 (13 enodes) 36.765 * * [simplify]: iters left: 5 (47 enodes) 36.780 * * [simplify]: iters left: 4 (67 enodes) 36.800 * * [simplify]: iters left: 3 (84 enodes) 36.819 * * [simplify]: iters left: 2 (89 enodes) 36.831 * * [simplify]: Extracting #0: cost 1 inf + 0 36.832 * * [simplify]: Extracting #1: cost 3 inf + 0 36.832 * * [simplify]: Extracting #2: cost 5 inf + 0 36.832 * * [simplify]: Extracting #3: cost 8 inf + 0 36.832 * * [simplify]: Extracting #4: cost 18 inf + 1 36.832 * * [simplify]: Extracting #5: cost 27 inf + 4 36.832 * * [simplify]: Extracting #6: cost 27 inf + 338 36.832 * * [simplify]: Extracting #7: cost 23 inf + 465 36.833 * * [simplify]: Extracting #8: cost 12 inf + 2056 36.833 * * [simplify]: Extracting #9: cost 1 inf + 4715 36.834 * * [simplify]: Extracting #10: cost 0 inf + 5035 36.835 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 36.835 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 36.835 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 36.836 * [simplify]: Simplifying (sqrt 1) 36.836 * * [simplify]: iters left: 1 (2 enodes) 36.838 * * [simplify]: Extracting #0: cost 1 inf + 0 36.838 * * [simplify]: Extracting #1: cost 0 inf + 1 36.838 * [simplify]: Simplified to 1 36.838 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* 1 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))) 36.838 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 36.838 * [simplify]: Simplifying (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) 36.838 * * [simplify]: iters left: 6 (13 enodes) 36.841 * * [simplify]: iters left: 5 (47 enodes) 36.849 * * [simplify]: iters left: 4 (67 enodes) 36.860 * * [simplify]: iters left: 3 (84 enodes) 36.883 * * [simplify]: iters left: 2 (89 enodes) 36.905 * * [simplify]: Extracting #0: cost 1 inf + 0 36.905 * * [simplify]: Extracting #1: cost 3 inf + 0 36.905 * * [simplify]: Extracting #2: cost 5 inf + 0 36.905 * * [simplify]: Extracting #3: cost 8 inf + 0 36.905 * * [simplify]: Extracting #4: cost 18 inf + 1 36.906 * * [simplify]: Extracting #5: cost 27 inf + 4 36.906 * * [simplify]: Extracting #6: cost 27 inf + 338 36.906 * * [simplify]: Extracting #7: cost 23 inf + 465 36.907 * * [simplify]: Extracting #8: cost 12 inf + 2056 36.908 * * [simplify]: Extracting #9: cost 1 inf + 4715 36.910 * * [simplify]: Extracting #10: cost 0 inf + 5035 36.912 * [simplify]: Simplified to (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) 36.912 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J)))))) 36.912 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 36.912 * * * * [progress]: [ 88 / 101 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J)))))))> 36.912 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 36.912 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 36.913 * [simplify]: Simplifying 1 36.913 * * [simplify]: iters left: 0 (1 enodes) 36.914 * * [simplify]: Extracting #0: cost 1 inf + 0 36.914 * * [simplify]: Extracting #1: cost 0 inf + 1 36.914 * [simplify]: Simplified to 1 36.914 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* 1 (* (cos (/ K 2)) (* -2 J))))) 36.914 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 36.915 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 36.915 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* +nan.0 (* (cos (/ K 2)) (* -2 J))))) 36.915 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 36.915 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 36.915 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* +nan.0 (* (cos (/ K 2)) (* -2 J))))) 36.915 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 36.916 * [simplify]: Simplifying 1 36.916 * * [simplify]: iters left: 0 (1 enodes) 36.917 * * [simplify]: Extracting #0: cost 1 inf + 0 36.917 * * [simplify]: Extracting #1: cost 0 inf + 1 36.917 * [simplify]: Simplified to 1 36.917 * [simplify]: Simplified (2 1) to (λ (J K U) (* 1 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 36.917 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 36.917 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 36.917 * [simplify]: Simplified (2 1) to (λ (J K U) (* +nan.0 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 36.918 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 36.918 * [simplify]: Simplifying (/ +nan.0 (* (cos (* 1/2 K)) J)) 36.918 * [simplify]: Simplified (2 1) to (λ (J K U) (* +nan.0 (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (* (cos (/ K 2)) (* -2 J))))) 36.918 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 36.918 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 36.918 * * [simplify]: iters left: 6 (10 enodes) 36.924 * * [simplify]: iters left: 5 (44 enodes) 36.934 * * [simplify]: iters left: 4 (83 enodes) 36.947 * * [simplify]: iters left: 3 (132 enodes) 36.976 * * [simplify]: iters left: 2 (186 enodes) 37.013 * * [simplify]: iters left: 1 (263 enodes) 37.074 * * [simplify]: Extracting #0: cost 1 inf + 0 37.074 * * [simplify]: Extracting #1: cost 23 inf + 0 37.074 * * [simplify]: Extracting #2: cost 44 inf + 89 37.076 * * [simplify]: Extracting #3: cost 21 inf + 2920 37.079 * * [simplify]: Extracting #4: cost 0 inf + 4598 37.082 * [simplify]: Simplified to (fma (/ -1/4 J) (* U U) (* J -2)) 37.082 * [simplify]: Simplified (2) to (λ (J K U) (fma (/ -1/4 J) (* U U) (* J -2))) 37.082 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 37.083 * [simplify]: Simplifying (* -1 U) 37.083 * * [simplify]: iters left: 2 (3 enodes) 37.085 * * [simplify]: iters left: 1 (11 enodes) 37.088 * * [simplify]: Extracting #0: cost 1 inf + 0 37.088 * * [simplify]: Extracting #1: cost 4 inf + 0 37.088 * * [simplify]: Extracting #2: cost 0 inf + 84 37.089 * [simplify]: Simplified to (- U) 37.089 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 37.089 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 37.089 * [simplify]: Simplifying (* -1 U) 37.089 * * [simplify]: iters left: 2 (3 enodes) 37.091 * * [simplify]: iters left: 1 (11 enodes) 37.095 * * [simplify]: Extracting #0: cost 1 inf + 0 37.095 * * [simplify]: Extracting #1: cost 4 inf + 0 37.095 * * [simplify]: Extracting #2: cost 0 inf + 84 37.095 * [simplify]: Simplified to (- U) 37.095 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 37.095 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 37.095 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/8 (/ (pow U 2) J)))) 37.096 * * [simplify]: iters left: 6 (10 enodes) 37.102 * * [simplify]: iters left: 5 (44 enodes) 37.118 * * [simplify]: iters left: 4 (83 enodes) 37.145 * * [simplify]: iters left: 3 (132 enodes) 37.164 * * [simplify]: iters left: 2 (186 enodes) 37.217 * * [simplify]: iters left: 1 (263 enodes) 37.301 * * [simplify]: Extracting #0: cost 1 inf + 0 37.301 * * [simplify]: Extracting #1: cost 23 inf + 0 37.301 * * [simplify]: Extracting #2: cost 44 inf + 89 37.302 * * [simplify]: Extracting #3: cost 21 inf + 2920 37.304 * * [simplify]: Extracting #4: cost 0 inf + 4598 37.306 * [simplify]: Simplified to (fma (/ -1/8 J) (* U U) (* J -2)) 37.306 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) (fma (/ -1/8 J) (* U U) (* J -2)))) 37.306 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 37.306 * [simplify]: Simplifying (- +nan.0) 37.306 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) +nan.0)) 37.306 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 37.307 * [simplify]: Simplifying (- +nan.0) 37.307 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (hypot 1 (/ U (* J (* (cos (/ K 2)) 2))))) +nan.0)) 37.307 * * * [progress]: adding candidates to table 38.773 * [progress]: [Phase 3 of 3] Extracting. 38.773 * * [regime]: Finding splitpoints for: (# # # # # #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> # # # #) 38.775 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 38.775 * * * * [regimes]: Trying to branch on U from (# # # # # #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> # # # #) 38.861 * * * * [regimes]: Trying to branch on K from (# # # # # #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> # # # #) 38.963 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> # # # #) 39.054 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> # # # #) 39.178 * * * * [regimes]: Trying to branch on J from (# # # # # #real (real->posit16 (* J (* (cos (/ K 2)) 2)))))) (* (cos (/ K 2)) (* -2 J))))> # # # #) 39.283 * * * [regime]: Found split indices: #