0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.192 * * * [progress]: [2/2] Setting up program. 0.200 * [progress]: [Phase 2 of 3] Improving. 0.200 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.201 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.201 * * [simplify]: iters left: 6 (17 enodes) 0.211 * * [simplify]: iters left: 5 (70 enodes) 0.236 * * [simplify]: iters left: 4 (126 enodes) 0.278 * * [simplify]: iters left: 3 (281 enodes) 0.400 * * [simplify]: Extracting #0: cost 1 inf + 0 0.400 * * [simplify]: Extracting #1: cost 16 inf + 0 0.400 * * [simplify]: Extracting #2: cost 28 inf + 2 0.400 * * [simplify]: Extracting #3: cost 32 inf + 86 0.400 * * [simplify]: Extracting #4: cost 96 inf + 131 0.401 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.406 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.426 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.448 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.461 * * [simplify]: Extracting #9: cost 0 inf + 50662 0.473 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 0.473 * [simplify]: Simplified (2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 0.481 * * [progress]: iteration 1 / 4 0.481 * * * [progress]: picking best candidate 0.487 * * * * [pick]: Picked # 0.487 * * * [progress]: localizing error 0.550 * * * [progress]: generating rewritten candidates 0.550 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.283 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.425 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.525 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.543 * * * [progress]: generating series expansions 1.543 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.544 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 1.544 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 1.544 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 1.544 * [taylor]: Taking taylor expansion of -2 in J 1.544 * [backup-simplify]: Simplify -2 into -2 1.544 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 1.544 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.544 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.544 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.544 * [taylor]: Taking taylor expansion of 1/2 in J 1.544 * [backup-simplify]: Simplify 1/2 into 1/2 1.544 * [taylor]: Taking taylor expansion of K in J 1.545 * [backup-simplify]: Simplify K into K 1.545 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.545 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.545 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.545 * [taylor]: Taking taylor expansion of J in J 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.545 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.545 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.545 * [taylor]: Taking taylor expansion of 1/4 in J 1.545 * [backup-simplify]: Simplify 1/4 into 1/4 1.545 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.545 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.545 * [taylor]: Taking taylor expansion of U in J 1.545 * [backup-simplify]: Simplify U into U 1.545 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.545 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.545 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.545 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.545 * [taylor]: Taking taylor expansion of 1/2 in J 1.545 * [backup-simplify]: Simplify 1/2 into 1/2 1.545 * [taylor]: Taking taylor expansion of K in J 1.545 * [backup-simplify]: Simplify K into K 1.545 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.545 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.545 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.546 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.546 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.546 * [backup-simplify]: Simplify (- 0) into 0 1.546 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.546 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.546 * [taylor]: Taking taylor expansion of J in J 1.546 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.547 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.547 * [backup-simplify]: Simplify (* 1 1) into 1 1.547 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.547 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.547 * [taylor]: Taking taylor expansion of 1 in J 1.547 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.548 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.548 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.548 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.549 * [backup-simplify]: Simplify (+ 0) into 0 1.550 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.551 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.553 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.554 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.554 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 1.554 * [taylor]: Taking taylor expansion of -2 in K 1.554 * [backup-simplify]: Simplify -2 into -2 1.554 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 1.555 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.555 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.555 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.555 * [taylor]: Taking taylor expansion of 1/2 in K 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of K in K 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.556 * [taylor]: Taking taylor expansion of J in K 1.556 * [backup-simplify]: Simplify J into J 1.556 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.556 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.556 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.556 * [taylor]: Taking taylor expansion of 1/4 in K 1.556 * [backup-simplify]: Simplify 1/4 into 1/4 1.556 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.556 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.556 * [taylor]: Taking taylor expansion of U in K 1.556 * [backup-simplify]: Simplify U into U 1.556 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.556 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.556 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.556 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.557 * [taylor]: Taking taylor expansion of 1/2 in K 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of K in K 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.558 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.558 * [taylor]: Taking taylor expansion of J in K 1.558 * [backup-simplify]: Simplify J into J 1.558 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.558 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.558 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.559 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.559 * [taylor]: Taking taylor expansion of 1 in K 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.559 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.559 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.559 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.560 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.560 * [backup-simplify]: Simplify (+ 0) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.562 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.563 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 1.563 * [taylor]: Taking taylor expansion of -2 in U 1.563 * [backup-simplify]: Simplify -2 into -2 1.563 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 1.563 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.563 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.563 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.563 * [taylor]: Taking taylor expansion of 1/2 in U 1.563 * [backup-simplify]: Simplify 1/2 into 1/2 1.563 * [taylor]: Taking taylor expansion of K in U 1.563 * [backup-simplify]: Simplify K into K 1.563 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.563 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.563 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.563 * [taylor]: Taking taylor expansion of J in U 1.563 * [backup-simplify]: Simplify J into J 1.563 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.564 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.564 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.564 * [taylor]: Taking taylor expansion of 1/4 in U 1.564 * [backup-simplify]: Simplify 1/4 into 1/4 1.564 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.564 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.564 * [taylor]: Taking taylor expansion of U in U 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.564 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.564 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.564 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.564 * [taylor]: Taking taylor expansion of 1/2 in U 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [taylor]: Taking taylor expansion of K in U 1.564 * [backup-simplify]: Simplify K into K 1.564 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.564 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.564 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.564 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.564 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.565 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.565 * [taylor]: Taking taylor expansion of J in U 1.565 * [backup-simplify]: Simplify J into J 1.566 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.566 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.566 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.566 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.566 * [taylor]: Taking taylor expansion of 1 in U 1.566 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (+ 0 1) into 1 1.567 * [backup-simplify]: Simplify (sqrt 1) into 1 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.569 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 1.569 * [taylor]: Taking taylor expansion of -2 in U 1.569 * [backup-simplify]: Simplify -2 into -2 1.569 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 1.569 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.569 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.569 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.569 * [taylor]: Taking taylor expansion of 1/2 in U 1.569 * [backup-simplify]: Simplify 1/2 into 1/2 1.569 * [taylor]: Taking taylor expansion of K in U 1.569 * [backup-simplify]: Simplify K into K 1.569 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.569 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.569 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.569 * [taylor]: Taking taylor expansion of J in U 1.569 * [backup-simplify]: Simplify J into J 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.569 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.569 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.569 * [taylor]: Taking taylor expansion of 1/4 in U 1.569 * [backup-simplify]: Simplify 1/4 into 1/4 1.569 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.569 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.569 * [taylor]: Taking taylor expansion of U in U 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.570 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.570 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.570 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.570 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.570 * [taylor]: Taking taylor expansion of 1/2 in U 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [taylor]: Taking taylor expansion of K in U 1.570 * [backup-simplify]: Simplify K into K 1.570 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.570 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.570 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.570 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.570 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.570 * [backup-simplify]: Simplify (- 0) into 0 1.571 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.571 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.571 * [taylor]: Taking taylor expansion of J in U 1.571 * [backup-simplify]: Simplify J into J 1.571 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.571 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.571 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.572 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.572 * [taylor]: Taking taylor expansion of 1 in U 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (+ 0 1) into 1 1.572 * [backup-simplify]: Simplify (sqrt 1) into 1 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.574 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.574 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.574 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.574 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.574 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.575 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.575 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.575 * [taylor]: Taking taylor expansion of -2 in K 1.575 * [backup-simplify]: Simplify -2 into -2 1.575 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.575 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.575 * [taylor]: Taking taylor expansion of 1/2 in K 1.575 * [backup-simplify]: Simplify 1/2 into 1/2 1.575 * [taylor]: Taking taylor expansion of K in K 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.576 * [taylor]: Taking taylor expansion of J in K 1.576 * [backup-simplify]: Simplify J into J 1.576 * [backup-simplify]: Simplify (* 1 J) into J 1.576 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.576 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.576 * [taylor]: Taking taylor expansion of -2 in J 1.576 * [backup-simplify]: Simplify -2 into -2 1.576 * [taylor]: Taking taylor expansion of J in J 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (+ 0) into 0 1.577 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.580 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.581 * [taylor]: Taking taylor expansion of 0 in K 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [taylor]: Taking taylor expansion of 0 in J 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (+ 0) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.582 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.582 * [taylor]: Taking taylor expansion of 0 in J 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (* -2 0) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.583 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.585 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.586 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.589 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.591 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 1.592 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 1.592 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.592 * [taylor]: Taking taylor expansion of 1/4 in K 1.592 * [backup-simplify]: Simplify 1/4 into 1/4 1.592 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.592 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.592 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.592 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.592 * [taylor]: Taking taylor expansion of 1/2 in K 1.592 * [backup-simplify]: Simplify 1/2 into 1/2 1.592 * [taylor]: Taking taylor expansion of K in K 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.593 * [taylor]: Taking taylor expansion of J in K 1.593 * [backup-simplify]: Simplify J into J 1.593 * [backup-simplify]: Simplify (* 1 J) into J 1.593 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.593 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.593 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.593 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.593 * [taylor]: Taking taylor expansion of 1/4 in J 1.594 * [backup-simplify]: Simplify 1/4 into 1/4 1.594 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.594 * [taylor]: Taking taylor expansion of J in J 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.595 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.595 * [backup-simplify]: Simplify -1/4 into -1/4 1.595 * [taylor]: Taking taylor expansion of 0 in J 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.597 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.597 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.597 * [taylor]: Taking taylor expansion of 1/4 in J 1.597 * [backup-simplify]: Simplify 1/4 into 1/4 1.597 * [taylor]: Taking taylor expansion of J in J 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.598 * [backup-simplify]: Simplify -2 into -2 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.599 * [backup-simplify]: Simplify (+ 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.602 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.602 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.603 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.606 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.607 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.609 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.610 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.614 * [taylor]: Taking taylor expansion of 0 in K 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [taylor]: Taking taylor expansion of 0 in J 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (+ 0) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [taylor]: Taking taylor expansion of 0 in J 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in J 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.618 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.620 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.620 * [taylor]: Taking taylor expansion of 0 in J 1.620 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.625 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1.625 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 1.626 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 1.626 * [taylor]: Taking taylor expansion of -2 in J 1.626 * [backup-simplify]: Simplify -2 into -2 1.626 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 1.626 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.626 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.626 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.626 * [taylor]: Taking taylor expansion of 1/4 in J 1.626 * [backup-simplify]: Simplify 1/4 into 1/4 1.626 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.626 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.626 * [taylor]: Taking taylor expansion of J in J 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.626 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.626 * [taylor]: Taking taylor expansion of U in J 1.626 * [backup-simplify]: Simplify U into U 1.626 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.626 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.626 * [taylor]: Taking taylor expansion of 1/2 in J 1.626 * [backup-simplify]: Simplify 1/2 into 1/2 1.626 * [taylor]: Taking taylor expansion of K in J 1.626 * [backup-simplify]: Simplify K into K 1.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.627 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.627 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.627 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.627 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.628 * [backup-simplify]: Simplify (* 1 1) into 1 1.628 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.628 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.628 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.628 * [taylor]: Taking taylor expansion of 1 in J 1.628 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (+ 0 1) into 1 1.629 * [backup-simplify]: Simplify (sqrt 1) into 1 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.630 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.630 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.631 * [taylor]: Taking taylor expansion of 1/2 in J 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of K in J 1.631 * [backup-simplify]: Simplify K into K 1.631 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.631 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.631 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.631 * [taylor]: Taking taylor expansion of J in J 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.631 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.632 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.632 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 1.632 * [taylor]: Taking taylor expansion of -2 in K 1.632 * [backup-simplify]: Simplify -2 into -2 1.632 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.632 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.632 * [taylor]: Taking taylor expansion of 1/4 in K 1.632 * [backup-simplify]: Simplify 1/4 into 1/4 1.632 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.632 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.632 * [taylor]: Taking taylor expansion of J in K 1.632 * [backup-simplify]: Simplify J into J 1.632 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.632 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.632 * [taylor]: Taking taylor expansion of U in K 1.632 * [backup-simplify]: Simplify U into U 1.632 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.632 * [taylor]: Taking taylor expansion of 1/2 in K 1.632 * [backup-simplify]: Simplify 1/2 into 1/2 1.632 * [taylor]: Taking taylor expansion of K in K 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.633 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.633 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.633 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.633 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.634 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.634 * [taylor]: Taking taylor expansion of 1 in K 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.634 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.635 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.635 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.635 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.635 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.636 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.638 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.638 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.638 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.638 * [taylor]: Taking taylor expansion of 1/2 in K 1.638 * [backup-simplify]: Simplify 1/2 into 1/2 1.638 * [taylor]: Taking taylor expansion of K in K 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.639 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.639 * [taylor]: Taking taylor expansion of J in K 1.639 * [backup-simplify]: Simplify J into J 1.639 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.639 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 1.639 * [taylor]: Taking taylor expansion of -2 in U 1.639 * [backup-simplify]: Simplify -2 into -2 1.639 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 1.639 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.639 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.639 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.639 * [taylor]: Taking taylor expansion of 1/4 in U 1.639 * [backup-simplify]: Simplify 1/4 into 1/4 1.639 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.639 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.639 * [taylor]: Taking taylor expansion of J in U 1.639 * [backup-simplify]: Simplify J into J 1.639 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.639 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.639 * [taylor]: Taking taylor expansion of U in U 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.639 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.639 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.639 * [taylor]: Taking taylor expansion of 1/2 in U 1.639 * [backup-simplify]: Simplify 1/2 into 1/2 1.639 * [taylor]: Taking taylor expansion of K in U 1.639 * [backup-simplify]: Simplify K into K 1.639 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.639 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.640 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.640 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.640 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.640 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.641 * [backup-simplify]: Simplify (* 1 1) into 1 1.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.641 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.641 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.641 * [taylor]: Taking taylor expansion of 1 in U 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.642 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.642 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.642 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.643 * [backup-simplify]: Simplify (+ 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.647 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.649 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.649 * [taylor]: Taking taylor expansion of 1/2 in U 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of K in U 1.649 * [backup-simplify]: Simplify K into K 1.649 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.649 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.649 * [taylor]: Taking taylor expansion of J in U 1.649 * [backup-simplify]: Simplify J into J 1.649 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.649 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.650 * [backup-simplify]: Simplify (- 0) into 0 1.650 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.650 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.650 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 1.650 * [taylor]: Taking taylor expansion of -2 in U 1.650 * [backup-simplify]: Simplify -2 into -2 1.650 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.650 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.650 * [taylor]: Taking taylor expansion of 1/4 in U 1.650 * [backup-simplify]: Simplify 1/4 into 1/4 1.650 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.650 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.650 * [taylor]: Taking taylor expansion of J in U 1.650 * [backup-simplify]: Simplify J into J 1.650 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.650 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.650 * [taylor]: Taking taylor expansion of U in U 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.650 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.650 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.650 * [taylor]: Taking taylor expansion of 1/2 in U 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of K in U 1.651 * [backup-simplify]: Simplify K into K 1.651 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.651 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.651 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.651 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.651 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.651 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.652 * [backup-simplify]: Simplify (* 1 1) into 1 1.652 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.652 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.652 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.652 * [taylor]: Taking taylor expansion of 1 in U 1.652 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.653 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.653 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.653 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.654 * [backup-simplify]: Simplify (+ 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.656 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.658 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.660 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.660 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.660 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.660 * [taylor]: Taking taylor expansion of 1/2 in U 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of K in U 1.660 * [backup-simplify]: Simplify K into K 1.660 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.660 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.660 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.660 * [taylor]: Taking taylor expansion of J in U 1.660 * [backup-simplify]: Simplify J into J 1.660 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.660 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.661 * [backup-simplify]: Simplify (- 0) into 0 1.661 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.661 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.661 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.661 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.661 * [taylor]: Taking taylor expansion of -1 in K 1.661 * [backup-simplify]: Simplify -1 into -1 1.661 * [taylor]: Taking taylor expansion of -1 in J 1.661 * [backup-simplify]: Simplify -1 into -1 1.662 * [backup-simplify]: Simplify (+ 0) into 0 1.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.662 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.663 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.663 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.663 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.664 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in K 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [taylor]: Taking taylor expansion of 0 in J 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [taylor]: Taking taylor expansion of 0 in J 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify -1 into -1 1.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.667 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.671 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.672 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 1) into 1 1.675 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.676 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.676 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.676 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.676 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.676 * [taylor]: Taking taylor expansion of 2 in K 1.676 * [backup-simplify]: Simplify 2 into 2 1.676 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.676 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.676 * [taylor]: Taking taylor expansion of 1/2 in K 1.676 * [backup-simplify]: Simplify 1/2 into 1/2 1.676 * [taylor]: Taking taylor expansion of K in K 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.677 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.677 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.677 * [taylor]: Taking taylor expansion of J in K 1.677 * [backup-simplify]: Simplify J into J 1.677 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.677 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.677 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.677 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.677 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.677 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.677 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.677 * [taylor]: Taking taylor expansion of 2 in J 1.677 * [backup-simplify]: Simplify 2 into 2 1.677 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.677 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.677 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.677 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.677 * [taylor]: Taking taylor expansion of 1/2 in J 1.677 * [backup-simplify]: Simplify 1/2 into 1/2 1.678 * [taylor]: Taking taylor expansion of K in J 1.678 * [backup-simplify]: Simplify K into K 1.678 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.678 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.678 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.678 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.678 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.678 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.678 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.678 * [taylor]: Taking taylor expansion of J in J 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.678 * [backup-simplify]: Simplify (* 1 1) into 1 1.679 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.679 * [backup-simplify]: Simplify (+ 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.680 * [backup-simplify]: Simplify (- 0) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [taylor]: Taking taylor expansion of 0 in J 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [taylor]: Taking taylor expansion of 0 in J 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.685 * [backup-simplify]: Simplify (- 0) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.686 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.688 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.689 * [backup-simplify]: Simplify (- 0) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.691 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.692 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.693 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.694 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.694 * [taylor]: Taking taylor expansion of 0 in K 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [taylor]: Taking taylor expansion of 0 in J 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.694 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.694 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.695 * [backup-simplify]: Simplify (- 0) into 0 1.695 * [taylor]: Taking taylor expansion of 0 in J 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [taylor]: Taking taylor expansion of 0 in J 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [taylor]: Taking taylor expansion of 0 in J 1.695 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.701 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 1.701 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 1.701 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 1.701 * [taylor]: Taking taylor expansion of 2 in J 1.701 * [backup-simplify]: Simplify 2 into 2 1.701 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 1.701 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.701 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.701 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.701 * [taylor]: Taking taylor expansion of -1/2 in J 1.701 * [backup-simplify]: Simplify -1/2 into -1/2 1.701 * [taylor]: Taking taylor expansion of K in J 1.701 * [backup-simplify]: Simplify K into K 1.701 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.701 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.701 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.701 * [taylor]: Taking taylor expansion of J in J 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.701 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.701 * [backup-simplify]: Simplify (- 0) into 0 1.701 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.701 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.701 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.702 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.702 * [taylor]: Taking taylor expansion of 1 in J 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.702 * [taylor]: Taking taylor expansion of 1/4 in J 1.702 * [backup-simplify]: Simplify 1/4 into 1/4 1.702 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.702 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.702 * [taylor]: Taking taylor expansion of J in J 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.702 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.702 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.702 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.702 * [taylor]: Taking taylor expansion of -1/2 in J 1.702 * [backup-simplify]: Simplify -1/2 into -1/2 1.702 * [taylor]: Taking taylor expansion of K in J 1.702 * [backup-simplify]: Simplify K into K 1.702 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.702 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.702 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.702 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.702 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.702 * [backup-simplify]: Simplify (- 0) into 0 1.702 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.702 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.702 * [taylor]: Taking taylor expansion of U in J 1.702 * [backup-simplify]: Simplify U into U 1.703 * [backup-simplify]: Simplify (* 1 1) into 1 1.703 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.703 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.703 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.703 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.703 * [backup-simplify]: Simplify (+ 1 0) into 1 1.703 * [backup-simplify]: Simplify (sqrt 1) into 1 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.704 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 1.704 * [taylor]: Taking taylor expansion of 2 in K 1.704 * [backup-simplify]: Simplify 2 into 2 1.704 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 1.704 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.704 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.704 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.704 * [taylor]: Taking taylor expansion of -1/2 in K 1.704 * [backup-simplify]: Simplify -1/2 into -1/2 1.704 * [taylor]: Taking taylor expansion of K in K 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.705 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.705 * [taylor]: Taking taylor expansion of J in K 1.705 * [backup-simplify]: Simplify J into J 1.705 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.705 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.705 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.705 * [taylor]: Taking taylor expansion of 1 in K 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.705 * [taylor]: Taking taylor expansion of 1/4 in K 1.705 * [backup-simplify]: Simplify 1/4 into 1/4 1.705 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.705 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.705 * [taylor]: Taking taylor expansion of J in K 1.705 * [backup-simplify]: Simplify J into J 1.705 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.705 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.705 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.705 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.705 * [taylor]: Taking taylor expansion of -1/2 in K 1.705 * [backup-simplify]: Simplify -1/2 into -1/2 1.705 * [taylor]: Taking taylor expansion of K in K 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.705 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.705 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.705 * [taylor]: Taking taylor expansion of U in K 1.705 * [backup-simplify]: Simplify U into U 1.706 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.706 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.706 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.706 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.706 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.706 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.706 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1.706 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.706 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.707 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.707 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.707 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.708 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 1.708 * [taylor]: Taking taylor expansion of 2 in U 1.708 * [backup-simplify]: Simplify 2 into 2 1.708 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 1.708 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.708 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.708 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.708 * [taylor]: Taking taylor expansion of -1/2 in U 1.708 * [backup-simplify]: Simplify -1/2 into -1/2 1.708 * [taylor]: Taking taylor expansion of K in U 1.708 * [backup-simplify]: Simplify K into K 1.708 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.708 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.708 * [taylor]: Taking taylor expansion of J in U 1.708 * [backup-simplify]: Simplify J into J 1.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.708 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.709 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.709 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.709 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.709 * [taylor]: Taking taylor expansion of 1 in U 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.709 * [taylor]: Taking taylor expansion of 1/4 in U 1.709 * [backup-simplify]: Simplify 1/4 into 1/4 1.709 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.709 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.709 * [taylor]: Taking taylor expansion of J in U 1.709 * [backup-simplify]: Simplify J into J 1.709 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.709 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.709 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.709 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.709 * [taylor]: Taking taylor expansion of -1/2 in U 1.709 * [backup-simplify]: Simplify -1/2 into -1/2 1.709 * [taylor]: Taking taylor expansion of K in U 1.709 * [backup-simplify]: Simplify K into K 1.709 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.709 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.709 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.709 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.709 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.710 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.710 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.710 * [taylor]: Taking taylor expansion of U in U 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.710 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.710 * [backup-simplify]: Simplify (* 1 1) into 1 1.710 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.710 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.710 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.711 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.711 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.711 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.711 * [backup-simplify]: Simplify (+ 0) into 0 1.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.714 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.715 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 1.715 * [taylor]: Taking taylor expansion of 2 in U 1.715 * [backup-simplify]: Simplify 2 into 2 1.715 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 1.715 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.715 * [taylor]: Taking taylor expansion of -1/2 in U 1.715 * [backup-simplify]: Simplify -1/2 into -1/2 1.715 * [taylor]: Taking taylor expansion of K in U 1.715 * [backup-simplify]: Simplify K into K 1.715 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.715 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.715 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.715 * [taylor]: Taking taylor expansion of J in U 1.715 * [backup-simplify]: Simplify J into J 1.715 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.715 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.715 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.715 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.716 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.716 * [taylor]: Taking taylor expansion of 1 in U 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.716 * [taylor]: Taking taylor expansion of 1/4 in U 1.716 * [backup-simplify]: Simplify 1/4 into 1/4 1.716 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.716 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.716 * [taylor]: Taking taylor expansion of J in U 1.716 * [backup-simplify]: Simplify J into J 1.716 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.716 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.716 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.716 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.716 * [taylor]: Taking taylor expansion of -1/2 in U 1.716 * [backup-simplify]: Simplify -1/2 into -1/2 1.716 * [taylor]: Taking taylor expansion of K in U 1.716 * [backup-simplify]: Simplify K into K 1.716 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.716 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.716 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.716 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.716 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.716 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.716 * [taylor]: Taking taylor expansion of U in U 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.717 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.717 * [backup-simplify]: Simplify (* 1 1) into 1 1.717 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.717 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.717 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.717 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.717 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.717 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.718 * [backup-simplify]: Simplify (+ 0) into 0 1.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.719 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.720 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.722 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.722 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.722 * [taylor]: Taking taylor expansion of 1 in K 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [taylor]: Taking taylor expansion of 1 in J 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (+ 0) into 0 1.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.723 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.724 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.724 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.725 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.725 * [taylor]: Taking taylor expansion of 0 in K 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [taylor]: Taking taylor expansion of 0 in J 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [taylor]: Taking taylor expansion of 0 in J 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.727 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.727 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.728 * [backup-simplify]: Simplify (- 0) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.729 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.729 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.730 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.731 * [backup-simplify]: Simplify (+ 1 0) into 1 1.731 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.736 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.737 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.737 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.737 * [taylor]: Taking taylor expansion of 2 in K 1.738 * [backup-simplify]: Simplify 2 into 2 1.738 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.738 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.738 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.738 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.738 * [taylor]: Taking taylor expansion of -1/2 in K 1.738 * [backup-simplify]: Simplify -1/2 into -1/2 1.738 * [taylor]: Taking taylor expansion of K in K 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.738 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.738 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.738 * [taylor]: Taking taylor expansion of J in K 1.738 * [backup-simplify]: Simplify J into J 1.739 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.739 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.739 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.739 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.739 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.739 * [taylor]: Taking taylor expansion of 2 in J 1.739 * [backup-simplify]: Simplify 2 into 2 1.739 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.739 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.739 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.739 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.739 * [taylor]: Taking taylor expansion of -1/2 in J 1.739 * [backup-simplify]: Simplify -1/2 into -1/2 1.739 * [taylor]: Taking taylor expansion of K in J 1.739 * [backup-simplify]: Simplify K into K 1.739 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.739 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.739 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.740 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.740 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.740 * [backup-simplify]: Simplify (- 0) into 0 1.740 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.740 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.740 * [taylor]: Taking taylor expansion of J in J 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.741 * [backup-simplify]: Simplify (* 1 1) into 1 1.741 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.741 * [backup-simplify]: Simplify (+ 0) into 0 1.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.744 * [backup-simplify]: Simplify (- 0) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [taylor]: Taking taylor expansion of 0 in J 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [taylor]: Taking taylor expansion of 0 in J 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.750 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.753 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.755 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.759 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.762 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.765 * [taylor]: Taking taylor expansion of 0 in K 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in J 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.766 * [taylor]: Taking taylor expansion of 0 in J 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [taylor]: Taking taylor expansion of 0 in J 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [taylor]: Taking taylor expansion of 0 in J 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.768 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.770 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.770 * [backup-simplify]: Simplify (- 0) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.775 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.775 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.775 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 1.775 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.775 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.776 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.776 * [taylor]: Taking taylor expansion of 1/4 in J 1.776 * [backup-simplify]: Simplify 1/4 into 1/4 1.776 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.776 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.776 * [taylor]: Taking taylor expansion of U in J 1.776 * [backup-simplify]: Simplify U into U 1.776 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.776 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.776 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.776 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.776 * [taylor]: Taking taylor expansion of 1/2 in J 1.776 * [backup-simplify]: Simplify 1/2 into 1/2 1.776 * [taylor]: Taking taylor expansion of K in J 1.776 * [backup-simplify]: Simplify K into K 1.776 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.776 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.776 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.776 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.777 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.777 * [taylor]: Taking taylor expansion of J in J 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.777 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.777 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.778 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.778 * [taylor]: Taking taylor expansion of 1 in J 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.778 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.779 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.779 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (+ 0) into 0 1.780 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.784 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.784 * [backup-simplify]: Simplify (- 0) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.787 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.787 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.787 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.787 * [taylor]: Taking taylor expansion of 1/4 in K 1.787 * [backup-simplify]: Simplify 1/4 into 1/4 1.787 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.787 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.787 * [taylor]: Taking taylor expansion of U in K 1.787 * [backup-simplify]: Simplify U into U 1.787 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.787 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.787 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.787 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.787 * [taylor]: Taking taylor expansion of 1/2 in K 1.787 * [backup-simplify]: Simplify 1/2 into 1/2 1.787 * [taylor]: Taking taylor expansion of K in K 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.789 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.789 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.789 * [taylor]: Taking taylor expansion of J in K 1.789 * [backup-simplify]: Simplify J into J 1.789 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.789 * [backup-simplify]: Simplify (* 1 1) into 1 1.789 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.789 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.789 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.790 * [taylor]: Taking taylor expansion of 1 in K 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.790 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.790 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.790 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.790 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.791 * [backup-simplify]: Simplify (+ 0) into 0 1.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.793 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.793 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.794 * [taylor]: Taking taylor expansion of 1/4 in U 1.794 * [backup-simplify]: Simplify 1/4 into 1/4 1.794 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.794 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.794 * [taylor]: Taking taylor expansion of U in U 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.794 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.794 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.794 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.794 * [taylor]: Taking taylor expansion of 1/2 in U 1.794 * [backup-simplify]: Simplify 1/2 into 1/2 1.794 * [taylor]: Taking taylor expansion of K in U 1.794 * [backup-simplify]: Simplify K into K 1.794 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.794 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.794 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.794 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.794 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.795 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.795 * [taylor]: Taking taylor expansion of J in U 1.795 * [backup-simplify]: Simplify J into J 1.795 * [backup-simplify]: Simplify (* 1 1) into 1 1.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.795 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.795 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.796 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.796 * [taylor]: Taking taylor expansion of 1 in U 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (+ 0 1) into 1 1.796 * [backup-simplify]: Simplify (sqrt 1) into 1 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.798 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.798 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.798 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.798 * [taylor]: Taking taylor expansion of 1/4 in U 1.798 * [backup-simplify]: Simplify 1/4 into 1/4 1.798 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.798 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.798 * [taylor]: Taking taylor expansion of U in U 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.798 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.798 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.798 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.798 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.798 * [taylor]: Taking taylor expansion of 1/2 in U 1.798 * [backup-simplify]: Simplify 1/2 into 1/2 1.798 * [taylor]: Taking taylor expansion of K in U 1.798 * [backup-simplify]: Simplify K into K 1.798 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.798 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.798 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.798 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.798 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.799 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.799 * [taylor]: Taking taylor expansion of J in U 1.799 * [backup-simplify]: Simplify J into J 1.799 * [backup-simplify]: Simplify (* 1 1) into 1 1.800 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.800 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.800 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.800 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.800 * [taylor]: Taking taylor expansion of 1 in U 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (+ 0 1) into 1 1.801 * [backup-simplify]: Simplify (sqrt 1) into 1 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.802 * [taylor]: Taking taylor expansion of 1 in K 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [taylor]: Taking taylor expansion of 1 in J 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [taylor]: Taking taylor expansion of 0 in K 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [taylor]: Taking taylor expansion of 0 in J 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [taylor]: Taking taylor expansion of 0 in J 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.803 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.805 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.805 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.805 * [taylor]: Taking taylor expansion of 1/8 in K 1.805 * [backup-simplify]: Simplify 1/8 into 1/8 1.805 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.805 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.805 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.805 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.805 * [taylor]: Taking taylor expansion of 1/2 in K 1.805 * [backup-simplify]: Simplify 1/2 into 1/2 1.805 * [taylor]: Taking taylor expansion of K in K 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.806 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.806 * [taylor]: Taking taylor expansion of J in K 1.806 * [backup-simplify]: Simplify J into J 1.806 * [backup-simplify]: Simplify (* 1 1) into 1 1.807 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.807 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.807 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.807 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.807 * [taylor]: Taking taylor expansion of 1/8 in J 1.807 * [backup-simplify]: Simplify 1/8 into 1/8 1.807 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.807 * [taylor]: Taking taylor expansion of J in J 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [taylor]: Taking taylor expansion of 0 in J 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [taylor]: Taking taylor expansion of 0 in J 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.811 * [backup-simplify]: Simplify (+ 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.813 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.815 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.816 * [taylor]: Taking taylor expansion of 0 in K 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [taylor]: Taking taylor expansion of 0 in J 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.817 * [backup-simplify]: Simplify (+ 0) into 0 1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.818 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.818 * [taylor]: Taking taylor expansion of 0 in J 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [taylor]: Taking taylor expansion of 0 in J 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [taylor]: Taking taylor expansion of 0 in J 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.821 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.821 * [taylor]: Taking taylor expansion of 1/4 in J 1.821 * [backup-simplify]: Simplify 1/4 into 1/4 1.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.821 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.821 * [taylor]: Taking taylor expansion of J in J 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.821 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.821 * [taylor]: Taking taylor expansion of U in J 1.821 * [backup-simplify]: Simplify U into U 1.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.821 * [taylor]: Taking taylor expansion of 1/2 in J 1.821 * [backup-simplify]: Simplify 1/2 into 1/2 1.821 * [taylor]: Taking taylor expansion of K in J 1.821 * [backup-simplify]: Simplify K into K 1.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.821 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.822 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.823 * [backup-simplify]: Simplify (* 1 1) into 1 1.823 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.823 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.823 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.823 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.823 * [taylor]: Taking taylor expansion of 1 in J 1.823 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (+ 0 1) into 1 1.824 * [backup-simplify]: Simplify (sqrt 1) into 1 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.825 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.825 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.825 * [taylor]: Taking taylor expansion of 1/4 in K 1.825 * [backup-simplify]: Simplify 1/4 into 1/4 1.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.825 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.825 * [taylor]: Taking taylor expansion of J in K 1.825 * [backup-simplify]: Simplify J into J 1.825 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.825 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.825 * [taylor]: Taking taylor expansion of U in K 1.825 * [backup-simplify]: Simplify U into U 1.825 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.825 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.825 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.825 * [taylor]: Taking taylor expansion of 1/2 in K 1.826 * [backup-simplify]: Simplify 1/2 into 1/2 1.826 * [taylor]: Taking taylor expansion of K in K 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.826 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.826 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.826 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.826 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.827 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.827 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.827 * [taylor]: Taking taylor expansion of 1 in K 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.827 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.828 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.828 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.828 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.828 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.829 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.831 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.831 * [taylor]: Taking taylor expansion of 1/4 in U 1.831 * [backup-simplify]: Simplify 1/4 into 1/4 1.831 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.831 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.831 * [taylor]: Taking taylor expansion of J in U 1.831 * [backup-simplify]: Simplify J into J 1.831 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.831 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.831 * [taylor]: Taking taylor expansion of U in U 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.831 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.831 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.831 * [taylor]: Taking taylor expansion of 1/2 in U 1.831 * [backup-simplify]: Simplify 1/2 into 1/2 1.831 * [taylor]: Taking taylor expansion of K in U 1.831 * [backup-simplify]: Simplify K into K 1.831 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.831 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.831 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.831 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.832 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.832 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.833 * [backup-simplify]: Simplify (* 1 1) into 1 1.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.833 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.833 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.833 * [taylor]: Taking taylor expansion of 1 in U 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.834 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.834 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.834 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.834 * [backup-simplify]: Simplify (+ 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.839 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.840 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.840 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.840 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.840 * [taylor]: Taking taylor expansion of 1/4 in U 1.840 * [backup-simplify]: Simplify 1/4 into 1/4 1.840 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.840 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.840 * [taylor]: Taking taylor expansion of J in U 1.840 * [backup-simplify]: Simplify J into J 1.840 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.840 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.840 * [taylor]: Taking taylor expansion of U in U 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.841 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.841 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.841 * [taylor]: Taking taylor expansion of 1/2 in U 1.841 * [backup-simplify]: Simplify 1/2 into 1/2 1.841 * [taylor]: Taking taylor expansion of K in U 1.841 * [backup-simplify]: Simplify K into K 1.841 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.841 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.841 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.841 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.841 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.842 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.842 * [backup-simplify]: Simplify (* 1 1) into 1 1.842 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.842 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.842 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.842 * [taylor]: Taking taylor expansion of 1 in U 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.843 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.843 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.843 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.844 * [backup-simplify]: Simplify (+ 0) into 0 1.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.848 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.849 * [taylor]: Taking taylor expansion of 1/2 in K 1.849 * [backup-simplify]: Simplify 1/2 into 1/2 1.849 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.850 * [taylor]: Taking taylor expansion of J in K 1.850 * [backup-simplify]: Simplify J into J 1.850 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.850 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.850 * [taylor]: Taking taylor expansion of 1/2 in K 1.850 * [backup-simplify]: Simplify 1/2 into 1/2 1.850 * [taylor]: Taking taylor expansion of K in K 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.850 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.850 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.850 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.851 * [taylor]: Taking taylor expansion of 1/2 in J 1.851 * [backup-simplify]: Simplify 1/2 into 1/2 1.851 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.851 * [taylor]: Taking taylor expansion of J in J 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.851 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.851 * [taylor]: Taking taylor expansion of 1/2 in J 1.851 * [backup-simplify]: Simplify 1/2 into 1/2 1.851 * [taylor]: Taking taylor expansion of K in J 1.851 * [backup-simplify]: Simplify K into K 1.851 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.851 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.851 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.851 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.852 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.852 * [taylor]: Taking taylor expansion of 0 in K 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [taylor]: Taking taylor expansion of 0 in J 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.853 * [taylor]: Taking taylor expansion of 0 in J 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.853 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.853 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.860 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 1) into 1 1.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.862 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.862 * [taylor]: Taking taylor expansion of 1/2 in K 1.862 * [backup-simplify]: Simplify 1/2 into 1/2 1.863 * [taylor]: Taking taylor expansion of K in K 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.863 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.863 * [taylor]: Taking taylor expansion of J in K 1.863 * [backup-simplify]: Simplify J into J 1.864 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.864 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.864 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.864 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.864 * [taylor]: Taking taylor expansion of 1/2 in J 1.864 * [backup-simplify]: Simplify 1/2 into 1/2 1.864 * [taylor]: Taking taylor expansion of K in J 1.864 * [backup-simplify]: Simplify K into K 1.864 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.864 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.864 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.864 * [taylor]: Taking taylor expansion of J in J 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.864 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.865 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.865 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.865 * [backup-simplify]: Simplify (+ 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.868 * [backup-simplify]: Simplify (- 0) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [taylor]: Taking taylor expansion of 0 in J 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [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 1.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.870 * [taylor]: Taking taylor expansion of 0 in J 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (+ 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.873 * [backup-simplify]: Simplify (- 0) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.875 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.875 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 1.875 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.875 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.875 * [taylor]: Taking taylor expansion of 1 in J 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.875 * [taylor]: Taking taylor expansion of 1/4 in J 1.875 * [backup-simplify]: Simplify 1/4 into 1/4 1.875 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.875 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.875 * [taylor]: Taking taylor expansion of J in J 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.875 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.876 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.876 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.876 * [taylor]: Taking taylor expansion of -1/2 in J 1.876 * [backup-simplify]: Simplify -1/2 into -1/2 1.876 * [taylor]: Taking taylor expansion of K in J 1.876 * [backup-simplify]: Simplify K into K 1.876 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.876 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.876 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.876 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.876 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.877 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.877 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.877 * [taylor]: Taking taylor expansion of U in J 1.877 * [backup-simplify]: Simplify U into U 1.877 * [backup-simplify]: Simplify (* 1 1) into 1 1.877 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.877 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.877 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.878 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.879 * [backup-simplify]: Simplify (sqrt 1) into 1 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.880 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.880 * [taylor]: Taking taylor expansion of 1 in K 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.880 * [taylor]: Taking taylor expansion of 1/4 in K 1.880 * [backup-simplify]: Simplify 1/4 into 1/4 1.880 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.880 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.880 * [taylor]: Taking taylor expansion of J in K 1.880 * [backup-simplify]: Simplify J into J 1.880 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.880 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.880 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.880 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.880 * [taylor]: Taking taylor expansion of -1/2 in K 1.880 * [backup-simplify]: Simplify -1/2 into -1/2 1.880 * [taylor]: Taking taylor expansion of K in K 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.881 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.881 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.881 * [taylor]: Taking taylor expansion of U in K 1.881 * [backup-simplify]: Simplify U into U 1.881 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.881 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.881 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.882 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.882 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.882 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1.883 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.883 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.883 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.886 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.886 * [taylor]: Taking taylor expansion of 1 in U 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.886 * [taylor]: Taking taylor expansion of 1/4 in U 1.886 * [backup-simplify]: Simplify 1/4 into 1/4 1.886 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.886 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.886 * [taylor]: Taking taylor expansion of J in U 1.886 * [backup-simplify]: Simplify J into J 1.886 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.886 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.886 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.886 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.886 * [taylor]: Taking taylor expansion of -1/2 in U 1.886 * [backup-simplify]: Simplify -1/2 into -1/2 1.886 * [taylor]: Taking taylor expansion of K in U 1.886 * [backup-simplify]: Simplify K into K 1.886 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.886 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.887 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.887 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.887 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.887 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.887 * [taylor]: Taking taylor expansion of U in U 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.887 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.888 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.888 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.889 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.889 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.889 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.890 * [backup-simplify]: Simplify (+ 0) into 0 1.891 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.893 * [backup-simplify]: Simplify (- 0) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.894 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.895 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.895 * [taylor]: Taking taylor expansion of 1 in U 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.895 * [taylor]: Taking taylor expansion of 1/4 in U 1.895 * [backup-simplify]: Simplify 1/4 into 1/4 1.895 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.896 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.896 * [taylor]: Taking taylor expansion of J in U 1.896 * [backup-simplify]: Simplify J into J 1.896 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.896 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.896 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.896 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.896 * [taylor]: Taking taylor expansion of -1/2 in U 1.896 * [backup-simplify]: Simplify -1/2 into -1/2 1.896 * [taylor]: Taking taylor expansion of K in U 1.896 * [backup-simplify]: Simplify K into K 1.896 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.896 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.896 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.896 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.896 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.897 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.897 * [taylor]: Taking taylor expansion of U in U 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.897 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.898 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.898 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.898 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.898 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.898 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (+ 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.902 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.903 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.903 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.904 * [taylor]: Taking taylor expansion of 1/2 in K 1.904 * [backup-simplify]: Simplify 1/2 into 1/2 1.904 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.904 * [taylor]: Taking taylor expansion of J in K 1.904 * [backup-simplify]: Simplify J into J 1.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.904 * [taylor]: Taking taylor expansion of -1/2 in K 1.905 * [backup-simplify]: Simplify -1/2 into -1/2 1.905 * [taylor]: Taking taylor expansion of K in K 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.905 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.905 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.905 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.905 * [taylor]: Taking taylor expansion of 1/2 in J 1.905 * [backup-simplify]: Simplify 1/2 into 1/2 1.905 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.905 * [taylor]: Taking taylor expansion of J in J 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.906 * [taylor]: Taking taylor expansion of -1/2 in J 1.906 * [backup-simplify]: Simplify -1/2 into -1/2 1.906 * [taylor]: Taking taylor expansion of K in J 1.906 * [backup-simplify]: Simplify K into K 1.906 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.907 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.907 * [taylor]: Taking taylor expansion of 0 in K 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [taylor]: Taking taylor expansion of 0 in J 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.908 * [taylor]: Taking taylor expansion of 0 in J 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.908 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.908 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.914 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.916 * [backup-simplify]: Simplify (+ 1 0) into 1 1.917 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.917 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.917 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.917 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.917 * [taylor]: Taking taylor expansion of -1/2 in K 1.917 * [backup-simplify]: Simplify -1/2 into -1/2 1.917 * [taylor]: Taking taylor expansion of K in K 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.918 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.918 * [taylor]: Taking taylor expansion of J in K 1.918 * [backup-simplify]: Simplify J into J 1.918 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.918 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.918 * [taylor]: Taking taylor expansion of -1/2 in J 1.918 * [backup-simplify]: Simplify -1/2 into -1/2 1.918 * [taylor]: Taking taylor expansion of K in J 1.918 * [backup-simplify]: Simplify K into K 1.918 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.918 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.919 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.919 * [taylor]: Taking taylor expansion of J in J 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.919 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.919 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.920 * [backup-simplify]: Simplify (+ 0) into 0 1.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.920 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.922 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [taylor]: Taking taylor expansion of 0 in J 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [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 1.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.925 * [taylor]: Taking taylor expansion of 0 in J 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ 0) into 0 1.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.927 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.928 * [backup-simplify]: Simplify (- 0) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.930 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.930 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 1.930 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.930 * [taylor]: Taking taylor expansion of 1/4 in J 1.930 * [backup-simplify]: Simplify 1/4 into 1/4 1.930 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.930 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.930 * [taylor]: Taking taylor expansion of U in J 1.930 * [backup-simplify]: Simplify U into U 1.930 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.930 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.930 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.930 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.930 * [taylor]: Taking taylor expansion of 1/2 in J 1.930 * [backup-simplify]: Simplify 1/2 into 1/2 1.930 * [taylor]: Taking taylor expansion of K in J 1.930 * [backup-simplify]: Simplify K into K 1.930 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.930 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.930 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.930 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.931 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.931 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.931 * [taylor]: Taking taylor expansion of J in J 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.931 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.932 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.932 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.932 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.932 * [taylor]: Taking taylor expansion of 1/4 in K 1.932 * [backup-simplify]: Simplify 1/4 into 1/4 1.932 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.932 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.932 * [taylor]: Taking taylor expansion of U in K 1.932 * [backup-simplify]: Simplify U into U 1.932 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.932 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.932 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.932 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.932 * [taylor]: Taking taylor expansion of 1/2 in K 1.932 * [backup-simplify]: Simplify 1/2 into 1/2 1.932 * [taylor]: Taking taylor expansion of K in K 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.936 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.936 * [taylor]: Taking taylor expansion of J in K 1.936 * [backup-simplify]: Simplify J into J 1.936 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.936 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.937 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.937 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.937 * [taylor]: Taking taylor expansion of 1/4 in U 1.937 * [backup-simplify]: Simplify 1/4 into 1/4 1.937 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.937 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.937 * [taylor]: Taking taylor expansion of U in U 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.937 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.937 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.937 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.937 * [taylor]: Taking taylor expansion of 1/2 in U 1.937 * [backup-simplify]: Simplify 1/2 into 1/2 1.937 * [taylor]: Taking taylor expansion of K in U 1.937 * [backup-simplify]: Simplify K into K 1.937 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.937 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.937 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.937 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.937 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.938 * [backup-simplify]: Simplify (- 0) into 0 1.938 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.938 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.938 * [taylor]: Taking taylor expansion of J in U 1.938 * [backup-simplify]: Simplify J into J 1.938 * [backup-simplify]: Simplify (* 1 1) into 1 1.938 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.939 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.939 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.939 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.939 * [taylor]: Taking taylor expansion of 1/4 in U 1.939 * [backup-simplify]: Simplify 1/4 into 1/4 1.939 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.939 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.939 * [taylor]: Taking taylor expansion of U in U 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.939 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.939 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.939 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.939 * [taylor]: Taking taylor expansion of 1/2 in U 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of K in U 1.939 * [backup-simplify]: Simplify K into K 1.939 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.939 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.939 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.940 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.940 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.940 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.940 * [taylor]: Taking taylor expansion of J in U 1.940 * [backup-simplify]: Simplify J into J 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.941 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.941 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.941 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.941 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.941 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.941 * [taylor]: Taking taylor expansion of 1/4 in K 1.942 * [backup-simplify]: Simplify 1/4 into 1/4 1.942 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.942 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.942 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.942 * [taylor]: Taking taylor expansion of 1/2 in K 1.942 * [backup-simplify]: Simplify 1/2 into 1/2 1.942 * [taylor]: Taking taylor expansion of K in K 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.943 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.943 * [taylor]: Taking taylor expansion of J in K 1.943 * [backup-simplify]: Simplify J into J 1.943 * [backup-simplify]: Simplify (* 1 1) into 1 1.943 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.943 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.944 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.944 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.944 * [taylor]: Taking taylor expansion of 1/4 in J 1.944 * [backup-simplify]: Simplify 1/4 into 1/4 1.944 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.944 * [taylor]: Taking taylor expansion of J in J 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.945 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.945 * [backup-simplify]: Simplify 1/4 into 1/4 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.946 * [backup-simplify]: Simplify (+ 0) into 0 1.946 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.948 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in K 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [taylor]: Taking taylor expansion of 0 in J 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.951 * [backup-simplify]: Simplify (+ 0) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in J 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.957 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.959 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.961 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.962 * [taylor]: Taking taylor expansion of 0 in K 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [taylor]: Taking taylor expansion of 0 in J 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [taylor]: Taking taylor expansion of 0 in J 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.965 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.967 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 1.967 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.967 * [taylor]: Taking taylor expansion of 1/16 in J 1.967 * [backup-simplify]: Simplify 1/16 into 1/16 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.967 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.967 * [taylor]: Taking taylor expansion of J in J 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.968 * [backup-simplify]: Simplify 1/16 into 1/16 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.978 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.981 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.983 * [taylor]: Taking taylor expansion of 0 in K 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [taylor]: Taking taylor expansion of 0 in J 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [taylor]: Taking taylor expansion of 0 in J 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [taylor]: Taking taylor expansion of 0 in J 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.986 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 1.990 * [taylor]: Taking taylor expansion of 0 in J 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.997 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.999 * [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 2.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.004 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.004 * [backup-simplify]: Simplify (- 0) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.007 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 2.010 * [taylor]: Taking taylor expansion of 0 in K 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of 0 in J 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of 0 in J 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of 0 in J 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of 0 in J 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.016 * [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 2.017 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 2.020 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 2.020 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 2.020 * [taylor]: Taking taylor expansion of 1/96 in J 2.020 * [backup-simplify]: Simplify 1/96 into 1/96 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 2.020 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.020 * [taylor]: Taking taylor expansion of J in J 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.021 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 2.021 * [backup-simplify]: Simplify 1/96 into 1/96 2.022 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 2.023 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2.023 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 2.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.023 * [taylor]: Taking taylor expansion of 1/4 in J 2.023 * [backup-simplify]: Simplify 1/4 into 1/4 2.023 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.023 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.023 * [taylor]: Taking taylor expansion of J in J 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.023 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.023 * [taylor]: Taking taylor expansion of U in J 2.023 * [backup-simplify]: Simplify U into U 2.023 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.023 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.023 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.023 * [taylor]: Taking taylor expansion of 1/2 in J 2.023 * [backup-simplify]: Simplify 1/2 into 1/2 2.023 * [taylor]: Taking taylor expansion of K in J 2.023 * [backup-simplify]: Simplify K into K 2.023 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.023 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.023 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.023 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.024 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.025 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.025 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.025 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.025 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.025 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.025 * [taylor]: Taking taylor expansion of 1/4 in K 2.025 * [backup-simplify]: Simplify 1/4 into 1/4 2.025 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.025 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.025 * [taylor]: Taking taylor expansion of J in K 2.025 * [backup-simplify]: Simplify J into J 2.025 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.025 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.025 * [taylor]: Taking taylor expansion of U in K 2.025 * [backup-simplify]: Simplify U into U 2.025 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.025 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.025 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.025 * [taylor]: Taking taylor expansion of 1/2 in K 2.025 * [backup-simplify]: Simplify 1/2 into 1/2 2.025 * [taylor]: Taking taylor expansion of K in K 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.026 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.026 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.026 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.026 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.026 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.027 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.027 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.027 * [taylor]: Taking taylor expansion of 1/4 in U 2.027 * [backup-simplify]: Simplify 1/4 into 1/4 2.027 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.027 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.027 * [taylor]: Taking taylor expansion of J in U 2.027 * [backup-simplify]: Simplify J into J 2.027 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.027 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.027 * [taylor]: Taking taylor expansion of U in U 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.027 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.027 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.027 * [taylor]: Taking taylor expansion of 1/2 in U 2.027 * [backup-simplify]: Simplify 1/2 into 1/2 2.027 * [taylor]: Taking taylor expansion of K in U 2.027 * [backup-simplify]: Simplify K into K 2.027 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.027 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.027 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.027 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.028 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.028 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.029 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.029 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.029 * [taylor]: Taking taylor expansion of 1/4 in U 2.029 * [backup-simplify]: Simplify 1/4 into 1/4 2.029 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.029 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.029 * [taylor]: Taking taylor expansion of J in U 2.029 * [backup-simplify]: Simplify J into J 2.029 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.029 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.029 * [taylor]: Taking taylor expansion of U in U 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.029 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.029 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.029 * [taylor]: Taking taylor expansion of 1/2 in U 2.029 * [backup-simplify]: Simplify 1/2 into 1/2 2.029 * [taylor]: Taking taylor expansion of K in U 2.029 * [backup-simplify]: Simplify K into K 2.029 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.029 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.030 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.030 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.030 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.030 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.030 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.031 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.031 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.031 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 2.031 * [taylor]: Taking taylor expansion of 1/4 in K 2.031 * [backup-simplify]: Simplify 1/4 into 1/4 2.031 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 2.031 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.031 * [taylor]: Taking taylor expansion of J in K 2.032 * [backup-simplify]: Simplify J into J 2.032 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.032 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.032 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.032 * [taylor]: Taking taylor expansion of 1/2 in K 2.032 * [backup-simplify]: Simplify 1/2 into 1/2 2.032 * [taylor]: Taking taylor expansion of K in K 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.032 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.032 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.032 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.033 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.033 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.033 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.033 * [taylor]: Taking taylor expansion of 1/4 in J 2.033 * [backup-simplify]: Simplify 1/4 into 1/4 2.033 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.033 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.033 * [taylor]: Taking taylor expansion of J in J 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.033 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.033 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.033 * [taylor]: Taking taylor expansion of 1/2 in J 2.033 * [backup-simplify]: Simplify 1/2 into 1/2 2.033 * [taylor]: Taking taylor expansion of K in J 2.033 * [backup-simplify]: Simplify K into K 2.033 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.033 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.033 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.033 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.034 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.034 * [backup-simplify]: Simplify (- 0) into 0 2.034 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.035 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.035 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.035 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.035 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.036 * [backup-simplify]: Simplify (+ 0) into 0 2.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.037 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in K 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [taylor]: Taking taylor expansion of 0 in J 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.042 * [taylor]: Taking taylor expansion of 0 in J 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.043 * [backup-simplify]: Simplify (+ 0) into 0 2.043 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.046 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.050 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.053 * [taylor]: Taking taylor expansion of 0 in K 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [taylor]: Taking taylor expansion of 0 in J 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [taylor]: Taking taylor expansion of 0 in J 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.054 * [taylor]: Taking taylor expansion of 0 in J 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.055 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.055 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 2.055 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.055 * [taylor]: Taking taylor expansion of 1/4 in J 2.055 * [backup-simplify]: Simplify 1/4 into 1/4 2.055 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.055 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.055 * [taylor]: Taking taylor expansion of J in J 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.055 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.055 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.055 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.055 * [taylor]: Taking taylor expansion of -1/2 in J 2.055 * [backup-simplify]: Simplify -1/2 into -1/2 2.055 * [taylor]: Taking taylor expansion of K in J 2.055 * [backup-simplify]: Simplify K into K 2.055 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.055 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.055 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.055 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.055 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.056 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.056 * [taylor]: Taking taylor expansion of U in J 2.056 * [backup-simplify]: Simplify U into U 2.056 * [backup-simplify]: Simplify (* 1 1) into 1 2.056 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.056 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.056 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.056 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.056 * [taylor]: Taking taylor expansion of 1/4 in K 2.056 * [backup-simplify]: Simplify 1/4 into 1/4 2.056 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.057 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.057 * [taylor]: Taking taylor expansion of J in K 2.057 * [backup-simplify]: Simplify J into J 2.057 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.057 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.057 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.057 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.057 * [taylor]: Taking taylor expansion of -1/2 in K 2.057 * [backup-simplify]: Simplify -1/2 into -1/2 2.057 * [taylor]: Taking taylor expansion of K in K 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.057 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.057 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.057 * [taylor]: Taking taylor expansion of U in K 2.057 * [backup-simplify]: Simplify U into U 2.057 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.057 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.057 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.057 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.058 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.058 * [taylor]: Taking taylor expansion of 1/4 in U 2.058 * [backup-simplify]: Simplify 1/4 into 1/4 2.058 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.058 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.058 * [taylor]: Taking taylor expansion of J in U 2.058 * [backup-simplify]: Simplify J into J 2.058 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.058 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.058 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.058 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.058 * [taylor]: Taking taylor expansion of -1/2 in U 2.058 * [backup-simplify]: Simplify -1/2 into -1/2 2.058 * [taylor]: Taking taylor expansion of K in U 2.058 * [backup-simplify]: Simplify K into K 2.058 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.058 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.058 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.058 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.058 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.059 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.059 * [taylor]: Taking taylor expansion of U in U 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.059 * [backup-simplify]: Simplify (* 1 1) into 1 2.059 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.059 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.059 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.059 * [taylor]: Taking taylor expansion of 1/4 in U 2.059 * [backup-simplify]: Simplify 1/4 into 1/4 2.059 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.059 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.059 * [taylor]: Taking taylor expansion of J in U 2.059 * [backup-simplify]: Simplify J into J 2.059 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.059 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.059 * [taylor]: Taking taylor expansion of -1/2 in U 2.059 * [backup-simplify]: Simplify -1/2 into -1/2 2.059 * [taylor]: Taking taylor expansion of K in U 2.059 * [backup-simplify]: Simplify K into K 2.059 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.060 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.060 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.060 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.060 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.060 * [taylor]: Taking taylor expansion of U in U 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.060 * [backup-simplify]: Simplify (* 1 1) into 1 2.060 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.061 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.061 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 2.061 * [taylor]: Taking taylor expansion of 1/4 in K 2.061 * [backup-simplify]: Simplify 1/4 into 1/4 2.061 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 2.061 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.061 * [taylor]: Taking taylor expansion of J in K 2.061 * [backup-simplify]: Simplify J into J 2.061 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.061 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.061 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.061 * [taylor]: Taking taylor expansion of -1/2 in K 2.061 * [backup-simplify]: Simplify -1/2 into -1/2 2.061 * [taylor]: Taking taylor expansion of K in K 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.061 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.061 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.061 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.062 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.062 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.062 * [taylor]: Taking taylor expansion of 1/4 in J 2.062 * [backup-simplify]: Simplify 1/4 into 1/4 2.062 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.062 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.062 * [taylor]: Taking taylor expansion of J in J 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.062 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.062 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.062 * [taylor]: Taking taylor expansion of -1/2 in J 2.062 * [backup-simplify]: Simplify -1/2 into -1/2 2.062 * [taylor]: Taking taylor expansion of K in J 2.062 * [backup-simplify]: Simplify K into K 2.062 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.062 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.062 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.062 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.062 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.063 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.063 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.063 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.063 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify (+ 0) into 0 2.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.065 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in K 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [taylor]: Taking taylor expansion of 0 in J 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.067 * [taylor]: Taking taylor expansion of 0 in J 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.068 * [backup-simplify]: Simplify (+ 0) into 0 2.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.072 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.074 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.077 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.078 * [taylor]: Taking taylor expansion of 0 in K 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [taylor]: Taking taylor expansion of 0 in J 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [taylor]: Taking taylor expansion of 0 in J 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.079 * [taylor]: Taking taylor expansion of 0 in J 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.080 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.080 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 2.080 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 2.080 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.080 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.080 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.080 * [taylor]: Taking taylor expansion of 1/2 in J 2.080 * [backup-simplify]: Simplify 1/2 into 1/2 2.080 * [taylor]: Taking taylor expansion of K in J 2.080 * [backup-simplify]: Simplify K into K 2.080 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.080 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.080 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.080 * [taylor]: Taking taylor expansion of J in J 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.080 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.080 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.080 * [taylor]: Taking taylor expansion of 1/2 in K 2.080 * [backup-simplify]: Simplify 1/2 into 1/2 2.080 * [taylor]: Taking taylor expansion of K in K 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.081 * [taylor]: Taking taylor expansion of J in K 2.081 * [backup-simplify]: Simplify J into J 2.081 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.081 * [taylor]: Taking taylor expansion of 1/2 in K 2.081 * [backup-simplify]: Simplify 1/2 into 1/2 2.081 * [taylor]: Taking taylor expansion of K in K 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.082 * [taylor]: Taking taylor expansion of J in K 2.082 * [backup-simplify]: Simplify J into J 2.082 * [backup-simplify]: Simplify (* 1 J) into J 2.082 * [taylor]: Taking taylor expansion of J in J 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (+ 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.083 * [taylor]: Taking taylor expansion of 0 in J 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.085 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 2.085 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 2.085 * [taylor]: Taking taylor expansion of 1/8 in J 2.085 * [backup-simplify]: Simplify 1/8 into 1/8 2.085 * [taylor]: Taking taylor expansion of J in J 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (* 1/8 0) into 0 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.090 * [taylor]: Taking taylor expansion of 0 in J 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 2.091 * [backup-simplify]: Simplify (- 1/8) into -1/8 2.091 * [backup-simplify]: Simplify -1/8 into -1/8 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.094 * [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 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 2.095 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 2.095 * [taylor]: Taking taylor expansion of 1/384 in J 2.095 * [backup-simplify]: Simplify 1/384 into 1/384 2.095 * [taylor]: Taking taylor expansion of J in J 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1/384 0) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 2.096 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 2.097 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 2.097 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 2.097 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.097 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.097 * [taylor]: Taking taylor expansion of 1/2 in J 2.097 * [backup-simplify]: Simplify 1/2 into 1/2 2.097 * [taylor]: Taking taylor expansion of K in J 2.097 * [backup-simplify]: Simplify K into K 2.097 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.097 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.097 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.097 * [taylor]: Taking taylor expansion of J in J 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.097 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.097 * [backup-simplify]: Simplify (- 0) into 0 2.097 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.098 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.098 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.098 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.098 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.098 * [taylor]: Taking taylor expansion of 1/2 in K 2.098 * [backup-simplify]: Simplify 1/2 into 1/2 2.098 * [taylor]: Taking taylor expansion of K in K 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.098 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.098 * [taylor]: Taking taylor expansion of J in K 2.098 * [backup-simplify]: Simplify J into J 2.098 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.098 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.098 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.098 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.098 * [taylor]: Taking taylor expansion of 1/2 in K 2.098 * [backup-simplify]: Simplify 1/2 into 1/2 2.098 * [taylor]: Taking taylor expansion of K in K 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.099 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.099 * [taylor]: Taking taylor expansion of J in K 2.099 * [backup-simplify]: Simplify J into J 2.099 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.099 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.099 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.099 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.099 * [taylor]: Taking taylor expansion of 1/2 in J 2.099 * [backup-simplify]: Simplify 1/2 into 1/2 2.099 * [taylor]: Taking taylor expansion of K in J 2.099 * [backup-simplify]: Simplify K into K 2.099 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.099 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.099 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.099 * [taylor]: Taking taylor expansion of J in J 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.099 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.099 * [backup-simplify]: Simplify (- 0) into 0 2.099 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.099 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.099 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.100 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.100 * [taylor]: Taking taylor expansion of 0 in J 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ 0) into 0 2.100 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.101 * [backup-simplify]: Simplify (- 0) into 0 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.102 * [taylor]: Taking taylor expansion of 0 in J 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.106 * [taylor]: Taking taylor expansion of 0 in J 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.109 * [backup-simplify]: Simplify (- 0) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 2.111 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 2.111 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 2.111 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 2.111 * [taylor]: Taking taylor expansion of -1 in J 2.111 * [backup-simplify]: Simplify -1 into -1 2.111 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.111 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.111 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.111 * [taylor]: Taking taylor expansion of -1/2 in J 2.111 * [backup-simplify]: Simplify -1/2 into -1/2 2.111 * [taylor]: Taking taylor expansion of K in J 2.111 * [backup-simplify]: Simplify K into K 2.111 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.111 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.111 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.111 * [taylor]: Taking taylor expansion of J in J 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.111 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.111 * [backup-simplify]: Simplify (- 0) into 0 2.111 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.111 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.111 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 2.111 * [taylor]: Taking taylor expansion of -1 in K 2.111 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.112 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.112 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.112 * [taylor]: Taking taylor expansion of -1/2 in K 2.112 * [backup-simplify]: Simplify -1/2 into -1/2 2.112 * [taylor]: Taking taylor expansion of K in K 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.112 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.112 * [taylor]: Taking taylor expansion of J in K 2.112 * [backup-simplify]: Simplify J into J 2.112 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.112 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 2.112 * [taylor]: Taking taylor expansion of -1 in K 2.112 * [backup-simplify]: Simplify -1 into -1 2.112 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.112 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.112 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.112 * [taylor]: Taking taylor expansion of -1/2 in K 2.112 * [backup-simplify]: Simplify -1/2 into -1/2 2.112 * [taylor]: Taking taylor expansion of K in K 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.113 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.113 * [taylor]: Taking taylor expansion of J in K 2.113 * [backup-simplify]: Simplify J into J 2.113 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.113 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 2.113 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 2.113 * [taylor]: Taking taylor expansion of -1 in J 2.113 * [backup-simplify]: Simplify -1 into -1 2.113 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.113 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.113 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.113 * [taylor]: Taking taylor expansion of -1/2 in J 2.113 * [backup-simplify]: Simplify -1/2 into -1/2 2.113 * [taylor]: Taking taylor expansion of K in J 2.113 * [backup-simplify]: Simplify K into K 2.113 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.113 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.113 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.113 * [taylor]: Taking taylor expansion of J in J 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.113 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.113 * [backup-simplify]: Simplify (- 0) into 0 2.113 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.114 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.114 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 2.114 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 2.114 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 2.114 * [taylor]: Taking taylor expansion of 0 in J 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ 0) into 0 2.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.116 * [backup-simplify]: Simplify (- 0) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in J 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.120 * [backup-simplify]: Simplify (- 0) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 2.123 * [taylor]: Taking taylor expansion of 0 in J 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 2.129 * * * [progress]: simplifying candidates 2.129 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 2.130 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 2.130 * * [simplify]: iters left: 6 (16 enodes) 2.139 * * [simplify]: iters left: 5 (67 enodes) 2.159 * * [simplify]: iters left: 4 (143 enodes) 2.203 * * [simplify]: iters left: 3 (434 enodes) 2.496 * * [simplify]: Extracting #0: cost 1 inf + 0 2.496 * * [simplify]: Extracting #1: cost 19 inf + 0 2.496 * * [simplify]: Extracting #2: cost 31 inf + 2 2.497 * * [simplify]: Extracting #3: cost 36 inf + 44 2.497 * * [simplify]: Extracting #4: cost 142 inf + 89 2.499 * * [simplify]: Extracting #5: cost 232 inf + 4336 2.510 * * [simplify]: Extracting #6: cost 40 inf + 43927 2.545 * * [simplify]: Extracting #7: cost 2 inf + 54059 2.579 * * [simplify]: Extracting #8: cost 0 inf + 54749 2.613 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 2.613 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 2.614 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 2.614 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 2.614 * * [simplify]: iters left: 6 (16 enodes) 2.623 * * [simplify]: iters left: 5 (67 enodes) 2.646 * * [simplify]: iters left: 4 (143 enodes) 2.696 * * [simplify]: iters left: 3 (434 enodes) 2.941 * * [simplify]: Extracting #0: cost 1 inf + 0 2.941 * * [simplify]: Extracting #1: cost 19 inf + 0 2.941 * * [simplify]: Extracting #2: cost 31 inf + 2 2.941 * * [simplify]: Extracting #3: cost 36 inf + 44 2.941 * * [simplify]: Extracting #4: cost 142 inf + 89 2.943 * * [simplify]: Extracting #5: cost 232 inf + 4336 2.959 * * [simplify]: Extracting #6: cost 40 inf + 43927 2.998 * * [simplify]: Extracting #7: cost 2 inf + 54059 3.032 * * [simplify]: Extracting #8: cost 0 inf + 54749 3.065 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 3.065 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 3.066 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 3.066 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.067 * * [simplify]: iters left: 6 (16 enodes) 3.075 * * [simplify]: iters left: 5 (67 enodes) 3.099 * * [simplify]: iters left: 4 (143 enodes) 3.139 * * [simplify]: iters left: 3 (434 enodes) 3.437 * * [simplify]: Extracting #0: cost 1 inf + 0 3.437 * * [simplify]: Extracting #1: cost 19 inf + 0 3.437 * * [simplify]: Extracting #2: cost 31 inf + 2 3.437 * * [simplify]: Extracting #3: cost 36 inf + 44 3.437 * * [simplify]: Extracting #4: cost 142 inf + 89 3.439 * * [simplify]: Extracting #5: cost 232 inf + 4336 3.454 * * [simplify]: Extracting #6: cost 40 inf + 43927 3.484 * * [simplify]: Extracting #7: cost 2 inf + 54059 3.519 * * [simplify]: Extracting #8: cost 0 inf + 54749 3.553 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 3.553 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 3.553 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 3.554 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.554 * * [simplify]: iters left: 6 (16 enodes) 3.563 * * [simplify]: iters left: 5 (67 enodes) 3.587 * * [simplify]: iters left: 4 (143 enodes) 3.655 * * [simplify]: iters left: 3 (434 enodes) 3.967 * * [simplify]: Extracting #0: cost 1 inf + 0 3.967 * * [simplify]: Extracting #1: cost 19 inf + 0 3.967 * * [simplify]: Extracting #2: cost 31 inf + 2 3.968 * * [simplify]: Extracting #3: cost 36 inf + 44 3.968 * * [simplify]: Extracting #4: cost 142 inf + 89 3.972 * * [simplify]: Extracting #5: cost 232 inf + 4336 3.998 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.020 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.037 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.056 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.056 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 4.056 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 4.056 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 4.057 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J))) 4.057 * * [simplify]: iters left: 6 (21 enodes) 4.068 * * [simplify]: iters left: 5 (83 enodes) 4.091 * * [simplify]: iters left: 4 (159 enodes) 4.137 * * [simplify]: iters left: 3 (450 enodes) 4.387 * * [simplify]: Extracting #0: cost 1 inf + 0 4.387 * * [simplify]: Extracting #1: cost 17 inf + 0 4.387 * * [simplify]: Extracting #2: cost 35 inf + 0 4.388 * * [simplify]: Extracting #3: cost 35 inf + 144 4.388 * * [simplify]: Extracting #4: cost 39 inf + 397 4.389 * * [simplify]: Extracting #5: cost 149 inf + 653 4.392 * * [simplify]: Extracting #6: cost 241 inf + 4041 4.413 * * [simplify]: Extracting #7: cost 67 inf + 41321 4.448 * * [simplify]: Extracting #8: cost 2 inf + 59818 4.483 * * [simplify]: Extracting #9: cost 0 inf + 60617 4.519 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))) 4.519 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))))) 4.519 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 4.519 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 4.520 * * [simplify]: iters left: 6 (19 enodes) 4.530 * * [simplify]: iters left: 5 (77 enodes) 4.557 * * [simplify]: iters left: 4 (149 enodes) 4.591 * * [simplify]: iters left: 3 (437 enodes) 4.923 * * [simplify]: Extracting #0: cost 1 inf + 0 4.923 * * [simplify]: Extracting #1: cost 16 inf + 0 4.923 * * [simplify]: Extracting #2: cost 35 inf + 0 4.923 * * [simplify]: Extracting #3: cost 36 inf + 144 4.923 * * [simplify]: Extracting #4: cost 39 inf + 579 4.924 * * [simplify]: Extracting #5: cost 147 inf + 653 4.925 * * [simplify]: Extracting #6: cost 234 inf + 5707 4.936 * * [simplify]: Extracting #7: cost 48 inf + 45584 4.963 * * [simplify]: Extracting #8: cost 2 inf + 58533 4.983 * * [simplify]: Extracting #9: cost 0 inf + 59248 5.005 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 5.006 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 5.006 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 5.006 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 5.006 * * [simplify]: iters left: 6 (20 enodes) 5.017 * * [simplify]: iters left: 5 (81 enodes) 5.045 * * [simplify]: iters left: 4 (153 enodes) 5.094 * * [simplify]: iters left: 3 (441 enodes) 5.402 * * [simplify]: Extracting #0: cost 1 inf + 0 5.402 * * [simplify]: Extracting #1: cost 16 inf + 0 5.402 * * [simplify]: Extracting #2: cost 35 inf + 0 5.402 * * [simplify]: Extracting #3: cost 38 inf + 2 5.403 * * [simplify]: Extracting #4: cost 42 inf + 144 5.404 * * [simplify]: Extracting #5: cost 145 inf + 653 5.407 * * [simplify]: Extracting #6: cost 246 inf + 3631 5.423 * * [simplify]: Extracting #7: cost 70 inf + 39778 5.443 * * [simplify]: Extracting #8: cost 2 inf + 58947 5.461 * * [simplify]: Extracting #9: cost 0 inf + 59856 5.482 * * [simplify]: Extracting #10: cost 0 inf + 59855 5.510 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 5.510 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) 5.511 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 5.511 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 5.511 * * [simplify]: iters left: 6 (18 enodes) 5.520 * * [simplify]: iters left: 5 (75 enodes) 5.537 * * [simplify]: iters left: 4 (146 enodes) 5.571 * * [simplify]: iters left: 3 (432 enodes) 5.870 * * [simplify]: Extracting #0: cost 1 inf + 0 5.870 * * [simplify]: Extracting #1: cost 16 inf + 0 5.871 * * [simplify]: Extracting #2: cost 36 inf + 0 5.871 * * [simplify]: Extracting #3: cost 38 inf + 144 5.871 * * [simplify]: Extracting #4: cost 41 inf + 468 5.872 * * [simplify]: Extracting #5: cost 150 inf + 653 5.877 * * [simplify]: Extracting #6: cost 220 inf + 8356 5.892 * * [simplify]: Extracting #7: cost 49 inf + 44223 5.912 * * [simplify]: Extracting #8: cost 4 inf + 57371 5.934 * * [simplify]: Extracting #9: cost 0 inf + 59271 5.970 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 5.971 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))))) 5.971 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 5.971 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 5.971 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 5.971 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 5.972 * * [simplify]: iters left: 6 (25 enodes) 5.986 * * [simplify]: iters left: 5 (106 enodes) 6.011 * * [simplify]: iters left: 4 (290 enodes) 6.209 * * [simplify]: Extracting #0: cost 1 inf + 0 6.209 * * [simplify]: Extracting #1: cost 60 inf + 0 6.211 * * [simplify]: Extracting #2: cost 290 inf + 4 6.218 * * [simplify]: Extracting #3: cost 386 inf + 336 6.228 * * [simplify]: Extracting #4: cost 335 inf + 25383 6.263 * * [simplify]: Extracting #5: cost 110 inf + 100606 6.319 * * [simplify]: Extracting #6: cost 6 inf + 147667 6.380 * * [simplify]: Extracting #7: cost 0 inf + 150742 6.458 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 6.458 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) 6.458 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 6.459 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 6.459 * * [simplify]: iters left: 6 (22 enodes) 6.472 * * [simplify]: iters left: 5 (100 enodes) 6.516 * * [simplify]: iters left: 4 (294 enodes) 6.684 * * [simplify]: Extracting #0: cost 1 inf + 0 6.684 * * [simplify]: Extracting #1: cost 60 inf + 0 6.690 * * [simplify]: Extracting #2: cost 296 inf + 45 6.693 * * [simplify]: Extracting #3: cost 387 inf + 838 6.706 * * [simplify]: Extracting #4: cost 321 inf + 30714 6.747 * * [simplify]: Extracting #5: cost 92 inf + 107949 6.815 * * [simplify]: Extracting #6: cost 2 inf + 149823 6.880 * * [simplify]: Extracting #7: cost 0 inf + 150712 6.928 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 6.929 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 6.929 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 6.929 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 6.930 * * [simplify]: iters left: 6 (23 enodes) 6.941 * * [simplify]: iters left: 5 (106 enodes) 6.972 * * [simplify]: iters left: 4 (272 enodes) 7.086 * * [simplify]: Extracting #0: cost 1 inf + 0 7.086 * * [simplify]: Extracting #1: cost 52 inf + 0 7.087 * * [simplify]: Extracting #2: cost 237 inf + 2 7.088 * * [simplify]: Extracting #3: cost 242 inf + 291 7.089 * * [simplify]: Extracting #4: cost 268 inf + 3688 7.098 * * [simplify]: Extracting #5: cost 226 inf + 37118 7.160 * * [simplify]: Extracting #6: cost 18 inf + 117250 7.235 * * [simplify]: Extracting #7: cost 0 inf + 126135 7.286 * * [simplify]: Extracting #8: cost 0 inf + 126134 7.342 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 7.342 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 7.342 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 7.342 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 7.343 * * [simplify]: iters left: 6 (20 enodes) 7.349 * * [simplify]: iters left: 5 (100 enodes) 7.382 * * [simplify]: iters left: 4 (276 enodes) 7.500 * * [simplify]: Extracting #0: cost 1 inf + 0 7.500 * * [simplify]: Extracting #1: cost 53 inf + 0 7.501 * * [simplify]: Extracting #2: cost 239 inf + 43 7.502 * * [simplify]: Extracting #3: cost 239 inf + 415 7.504 * * [simplify]: Extracting #4: cost 270 inf + 3145 7.509 * * [simplify]: Extracting #5: cost 251 inf + 23178 7.527 * * [simplify]: Extracting #6: cost 106 inf + 68699 7.568 * * [simplify]: Extracting #7: cost 10 inf + 115190 7.624 * * [simplify]: Extracting #8: cost 0 inf + 120330 7.674 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 7.674 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 7.674 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 7.674 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 7.674 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 7.674 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 7.674 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 7.675 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 7.675 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 7.675 * * [simplify]: iters left: 6 (13 enodes) 7.680 * * [simplify]: iters left: 5 (52 enodes) 7.695 * * [simplify]: iters left: 4 (105 enodes) 7.746 * * [simplify]: iters left: 3 (359 enodes) 8.002 * * [simplify]: Extracting #0: cost 1 inf + 0 8.002 * * [simplify]: Extracting #1: cost 3 inf + 0 8.002 * * [simplify]: Extracting #2: cost 6 inf + 0 8.002 * * [simplify]: Extracting #3: cost 118 inf + 1 8.004 * * [simplify]: Extracting #4: cost 235 inf + 336 8.007 * * [simplify]: Extracting #5: cost 193 inf + 4402 8.015 * * [simplify]: Extracting #6: cost 119 inf + 19348 8.040 * * [simplify]: Extracting #7: cost 7 inf + 46040 8.075 * * [simplify]: Extracting #8: cost 0 inf + 47488 8.094 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 8.094 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J)))) 8.094 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 8.095 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J)) 8.095 * * [simplify]: iters left: 6 (19 enodes) 8.101 * * [simplify]: iters left: 5 (85 enodes) 8.126 * * [simplify]: iters left: 4 (216 enodes) 8.287 * * [simplify]: Extracting #0: cost 1 inf + 0 8.287 * * [simplify]: Extracting #1: cost 16 inf + 0 8.288 * * [simplify]: Extracting #2: cost 27 inf + 44 8.288 * * [simplify]: Extracting #3: cost 32 inf + 86 8.288 * * [simplify]: Extracting #4: cost 125 inf + 89 8.291 * * [simplify]: Extracting #5: cost 329 inf + 858 8.301 * * [simplify]: Extracting #6: cost 272 inf + 29285 8.320 * * [simplify]: Extracting #7: cost 76 inf + 96357 8.362 * * [simplify]: Extracting #8: cost 1 inf + 124961 8.394 * * [simplify]: Extracting #9: cost 0 inf + 125265 8.449 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) 8.449 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 8.449 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 8.450 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J)) 8.450 * * [simplify]: iters left: 6 (18 enodes) 8.463 * * [simplify]: iters left: 5 (77 enodes) 8.493 * * [simplify]: iters left: 4 (190 enodes) 8.619 * * [simplify]: Extracting #0: cost 1 inf + 0 8.620 * * [simplify]: Extracting #1: cost 16 inf + 0 8.620 * * [simplify]: Extracting #2: cost 28 inf + 2 8.620 * * [simplify]: Extracting #3: cost 35 inf + 86 8.621 * * [simplify]: Extracting #4: cost 122 inf + 90 8.622 * * [simplify]: Extracting #5: cost 296 inf + 1624 8.634 * * [simplify]: Extracting #6: cost 126 inf + 54777 8.653 * * [simplify]: Extracting #7: cost 1 inf + 93095 8.674 * * [simplify]: Extracting #8: cost 0 inf + 93560 8.695 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) 8.695 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 8.695 * * * * [progress]: [ 24 / 143 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))> 8.696 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 8.696 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 8.696 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 8.696 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 8.696 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 8.696 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 8.696 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 8.696 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 8.696 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 8.696 * * [simplify]: iters left: 6 (15 enodes) 8.700 * * [simplify]: iters left: 5 (59 enodes) 8.710 * * [simplify]: iters left: 4 (112 enodes) 8.756 * * [simplify]: iters left: 3 (365 enodes) 8.977 * * [simplify]: Extracting #0: cost 1 inf + 0 8.978 * * [simplify]: Extracting #1: cost 4 inf + 0 8.978 * * [simplify]: Extracting #2: cost 7 inf + 0 8.978 * * [simplify]: Extracting #3: cost 10 inf + 0 8.978 * * [simplify]: Extracting #4: cost 122 inf + 1 8.979 * * [simplify]: Extracting #5: cost 241 inf + 89 8.981 * * [simplify]: Extracting #6: cost 203 inf + 3666 8.984 * * [simplify]: Extracting #7: cost 128 inf + 17960 8.996 * * [simplify]: Extracting #8: cost 13 inf + 45848 9.017 * * [simplify]: Extracting #9: cost 0 inf + 48961 9.048 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 9.048 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 9.049 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 9.049 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 9.049 * * [simplify]: iters left: 6 (14 enodes) 9.055 * * [simplify]: iters left: 5 (55 enodes) 9.065 * * [simplify]: iters left: 4 (108 enodes) 9.097 * * [simplify]: iters left: 3 (363 enodes) 9.301 * * [simplify]: Extracting #0: cost 1 inf + 0 9.301 * * [simplify]: Extracting #1: cost 3 inf + 0 9.302 * * [simplify]: Extracting #2: cost 5 inf + 0 9.302 * * [simplify]: Extracting #3: cost 8 inf + 0 9.302 * * [simplify]: Extracting #4: cost 123 inf + 1 9.303 * * [simplify]: Extracting #5: cost 234 inf + 420 9.307 * * [simplify]: Extracting #6: cost 203 inf + 3175 9.311 * * [simplify]: Extracting #7: cost 127 inf + 18949 9.324 * * [simplify]: Extracting #8: cost 7 inf + 46860 9.341 * * [simplify]: Extracting #9: cost 0 inf + 48232 9.355 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 9.356 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 9.356 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 9.356 * [simplify]: Simplifying (sqrt 1) 9.356 * * [simplify]: iters left: 1 (2 enodes) 9.358 * * [simplify]: Extracting #0: cost 1 inf + 0 9.358 * * [simplify]: Extracting #1: cost 0 inf + 1 9.358 * [simplify]: Simplified to 1 9.358 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 9.359 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 9.359 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 9.359 * * [simplify]: iters left: 6 (16 enodes) 9.364 * * [simplify]: iters left: 5 (70 enodes) 9.386 * * [simplify]: iters left: 4 (176 enodes) 9.491 * * [simplify]: Extracting #0: cost 1 inf + 0 9.491 * * [simplify]: Extracting #1: cost 3 inf + 0 9.491 * * [simplify]: Extracting #2: cost 6 inf + 0 9.492 * * [simplify]: Extracting #3: cost 103 inf + 1 9.493 * * [simplify]: Extracting #4: cost 306 inf + 6 9.496 * * [simplify]: Extracting #5: cost 338 inf + 1810 9.505 * * [simplify]: Extracting #6: cost 242 inf + 27932 9.540 * * [simplify]: Extracting #7: cost 28 inf + 100762 9.586 * * [simplify]: Extracting #8: cost 0 inf + 110036 9.635 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 9.636 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) 9.636 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 9.636 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 9.637 * * [simplify]: iters left: 6 (15 enodes) 9.646 * * [simplify]: iters left: 5 (62 enodes) 9.669 * * [simplify]: iters left: 4 (150 enodes) 9.811 * * [simplify]: Extracting #0: cost 1 inf + 0 9.811 * * [simplify]: Extracting #1: cost 3 inf + 0 9.811 * * [simplify]: Extracting #2: cost 9 inf + 0 9.812 * * [simplify]: Extracting #3: cost 105 inf + 2 9.813 * * [simplify]: Extracting #4: cost 286 inf + 6 9.816 * * [simplify]: Extracting #5: cost 280 inf + 1923 9.824 * * [simplify]: Extracting #6: cost 191 inf + 25190 9.853 * * [simplify]: Extracting #7: cost 26 inf + 76271 9.871 * * [simplify]: Extracting #8: cost 0 inf + 85028 9.899 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 9.899 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 9.899 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 9.899 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 9.900 * * [simplify]: iters left: 6 (12 enodes) 9.905 * * [simplify]: iters left: 5 (49 enodes) 9.914 * * [simplify]: iters left: 4 (102 enodes) 9.941 * * [simplify]: iters left: 3 (356 enodes) 10.185 * * [simplify]: Extracting #0: cost 1 inf + 0 10.185 * * [simplify]: Extracting #1: cost 4 inf + 0 10.186 * * [simplify]: Extracting #2: cost 116 inf + 1 10.188 * * [simplify]: Extracting #3: cost 234 inf + 254 10.192 * * [simplify]: Extracting #4: cost 192 inf + 4198 10.201 * * [simplify]: Extracting #5: cost 121 inf + 19235 10.233 * * [simplify]: Extracting #6: cost 5 inf + 46310 10.262 * * [simplify]: Extracting #7: cost 0 inf + 47117 10.291 * * [simplify]: Extracting #8: cost 0 inf + 46998 10.320 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 10.320 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))) 10.321 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 10.321 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 10.321 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 10.321 * * [simplify]: iters left: 6 (13 enodes) 10.328 * * [simplify]: iters left: 5 (52 enodes) 10.346 * * [simplify]: iters left: 4 (105 enodes) 10.402 * * [simplify]: iters left: 3 (359 enodes) 10.666 * * [simplify]: Extracting #0: cost 1 inf + 0 10.666 * * [simplify]: Extracting #1: cost 3 inf + 0 10.666 * * [simplify]: Extracting #2: cost 6 inf + 0 10.666 * * [simplify]: Extracting #3: cost 118 inf + 1 10.668 * * [simplify]: Extracting #4: cost 235 inf + 336 10.671 * * [simplify]: Extracting #5: cost 193 inf + 4402 10.678 * * [simplify]: Extracting #6: cost 119 inf + 19348 10.700 * * [simplify]: Extracting #7: cost 7 inf + 46040 10.730 * * [simplify]: Extracting #8: cost 0 inf + 47488 10.745 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 10.745 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))) 10.745 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 10.745 * * * * [progress]: [ 41 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))> 10.746 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.746 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.746 * * [simplify]: iters left: 6 (9 enodes) 10.748 * * [simplify]: iters left: 5 (33 enodes) 10.753 * * [simplify]: iters left: 4 (51 enodes) 10.761 * * [simplify]: iters left: 3 (68 enodes) 10.770 * * [simplify]: iters left: 2 (73 enodes) 10.779 * * [simplify]: Extracting #0: cost 1 inf + 0 10.779 * * [simplify]: Extracting #1: cost 12 inf + 0 10.779 * * [simplify]: Extracting #2: cost 21 inf + 3 10.779 * * [simplify]: Extracting #3: cost 21 inf + 337 10.780 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.781 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.782 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.782 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 10.783 * [simplify]: Simplifying (+ 1 1) 10.783 * * [simplify]: iters left: 2 (2 enodes) 10.785 * * [simplify]: iters left: 1 (9 enodes) 10.789 * * [simplify]: Extracting #0: cost 1 inf + 0 10.789 * * [simplify]: Extracting #1: cost 0 inf + 1 10.789 * [simplify]: Simplified to 2 10.789 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 10.789 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.790 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 10.790 * * [simplify]: iters left: 6 (10 enodes) 10.795 * * [simplify]: iters left: 5 (40 enodes) 10.810 * * [simplify]: iters left: 4 (91 enodes) 10.859 * * [simplify]: iters left: 3 (345 enodes) 11.150 * * [simplify]: Extracting #0: cost 1 inf + 0 11.151 * * [simplify]: Extracting #1: cost 119 inf + 0 11.153 * * [simplify]: Extracting #2: cost 236 inf + 45 11.155 * * [simplify]: Extracting #3: cost 207 inf + 2474 11.167 * * [simplify]: Extracting #4: cost 104 inf + 22392 11.183 * * [simplify]: Extracting #5: cost 6 inf + 45410 11.198 * * [simplify]: Extracting #6: cost 0 inf + 46788 11.225 * * [simplify]: Extracting #7: cost 0 inf + 46787 11.253 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 11.253 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (* (cos (/ K 2)) J))) 11.253 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 11.253 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 11.253 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 11.254 * * [simplify]: iters left: 6 (9 enodes) 11.258 * * [simplify]: iters left: 5 (33 enodes) 11.263 * * [simplify]: iters left: 4 (51 enodes) 11.270 * * [simplify]: iters left: 3 (68 enodes) 11.279 * * [simplify]: iters left: 2 (73 enodes) 11.288 * * [simplify]: Extracting #0: cost 1 inf + 0 11.288 * * [simplify]: Extracting #1: cost 12 inf + 0 11.288 * * [simplify]: Extracting #2: cost 21 inf + 3 11.288 * * [simplify]: Extracting #3: cost 21 inf + 337 11.289 * * [simplify]: Extracting #4: cost 12 inf + 1158 11.290 * * [simplify]: Extracting #5: cost 0 inf + 3114 11.291 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 11.291 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 11.291 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 11.292 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 11.292 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 11.292 * * [simplify]: iters left: 6 (14 enodes) 11.299 * * [simplify]: iters left: 5 (54 enodes) 11.318 * * [simplify]: iters left: 4 (119 enodes) 11.364 * * [simplify]: iters left: 3 (457 enodes) 11.976 * * [simplify]: Extracting #0: cost 1 inf + 0 11.976 * * [simplify]: Extracting #1: cost 87 inf + 0 11.979 * * [simplify]: Extracting #2: cost 441 inf + 0 11.984 * * [simplify]: Extracting #3: cost 435 inf + 3488 11.993 * * [simplify]: Extracting #4: cost 350 inf + 25733 12.008 * * [simplify]: Extracting #5: cost 181 inf + 99937 12.072 * * [simplify]: Extracting #6: cost 13 inf + 179498 12.153 * * [simplify]: Extracting #7: cost 0 inf + 185853 12.203 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 12.203 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 12.203 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 12.203 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 12.203 * * [simplify]: iters left: 6 (18 enodes) 12.208 * * [simplify]: iters left: 5 (62 enodes) 12.228 * * [simplify]: iters left: 4 (132 enodes) 12.298 * * [simplify]: iters left: 3 (478 enodes) 12.959 * * [simplify]: Extracting #0: cost 1 inf + 0 12.959 * * [simplify]: Extracting #1: cost 82 inf + 0 12.962 * * [simplify]: Extracting #2: cost 445 inf + 0 12.968 * * [simplify]: Extracting #3: cost 428 inf + 6272 12.976 * * [simplify]: Extracting #4: cost 350 inf + 27083 13.005 * * [simplify]: Extracting #5: cost 195 inf + 92277 13.076 * * [simplify]: Extracting #6: cost 8 inf + 176798 13.129 * * [simplify]: Extracting #7: cost 0 inf + 179724 13.207 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 13.208 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 13.208 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 13.208 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 13.209 * * [simplify]: iters left: 6 (18 enodes) 13.218 * * [simplify]: iters left: 5 (75 enodes) 13.234 * * [simplify]: iters left: 4 (150 enodes) 13.283 * * [simplify]: iters left: 3 (441 enodes) 13.770 * * [simplify]: Extracting #0: cost 1 inf + 0 13.771 * * [simplify]: Extracting #1: cost 83 inf + 0 13.774 * * [simplify]: Extracting #2: cost 392 inf + 0 13.780 * * [simplify]: Extracting #3: cost 353 inf + 11476 13.785 * * [simplify]: Extracting #4: cost 305 inf + 24860 13.799 * * [simplify]: Extracting #5: cost 144 inf + 93825 13.837 * * [simplify]: Extracting #6: cost 4 inf + 152810 13.872 * * [simplify]: Extracting #7: cost 0 inf + 148235 13.918 * * [simplify]: Extracting #8: cost 0 inf + 147415 13.950 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 13.950 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 13.950 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 13.951 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 13.951 * * [simplify]: iters left: 6 (18 enodes) 13.956 * * [simplify]: iters left: 5 (73 enodes) 13.970 * * [simplify]: iters left: 4 (158 enodes) 14.035 * * [simplify]: iters left: 3 (401 enodes) 14.269 * * [simplify]: Extracting #0: cost 1 inf + 0 14.269 * * [simplify]: Extracting #1: cost 75 inf + 0 14.271 * * [simplify]: Extracting #2: cost 294 inf + 0 14.274 * * [simplify]: Extracting #3: cost 333 inf + 1095 14.278 * * [simplify]: Extracting #4: cost 297 inf + 8726 14.289 * * [simplify]: Extracting #5: cost 207 inf + 35649 14.332 * * [simplify]: Extracting #6: cost 32 inf + 113007 14.378 * * [simplify]: Extracting #7: cost 3 inf + 120686 14.427 * * [simplify]: Extracting #8: cost 0 inf + 119948 14.453 * * [simplify]: Extracting #9: cost 0 inf + 119908 14.481 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 14.481 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 14.481 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 14.481 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 14.481 * * [simplify]: iters left: 6 (18 enodes) 14.486 * * [simplify]: iters left: 5 (63 enodes) 14.497 * * [simplify]: iters left: 4 (128 enodes) 14.552 * * [simplify]: iters left: 3 (467 enodes) 15.004 * * [simplify]: Extracting #0: cost 1 inf + 0 15.004 * * [simplify]: Extracting #1: cost 87 inf + 0 15.007 * * [simplify]: Extracting #2: cost 459 inf + 0 15.012 * * [simplify]: Extracting #3: cost 444 inf + 6063 15.028 * * [simplify]: Extracting #4: cost 367 inf + 26781 15.048 * * [simplify]: Extracting #5: cost 208 inf + 91682 15.102 * * [simplify]: Extracting #6: cost 16 inf + 181307 15.184 * * [simplify]: Extracting #7: cost 0 inf + 189267 15.238 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 15.238 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (* (cos (/ K 2)) J))) 15.239 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 15.239 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 15.239 * * [simplify]: iters left: 6 (13 enodes) 15.243 * * [simplify]: iters left: 5 (52 enodes) 15.258 * * [simplify]: iters left: 4 (107 enodes) 15.299 * * [simplify]: iters left: 3 (365 enodes) 15.635 * * [simplify]: Extracting #0: cost 1 inf + 0 15.636 * * [simplify]: Extracting #1: cost 73 inf + 0 15.637 * * [simplify]: Extracting #2: cost 366 inf + 0 15.639 * * [simplify]: Extracting #3: cost 356 inf + 3306 15.642 * * [simplify]: Extracting #4: cost 311 inf + 14304 15.650 * * [simplify]: Extracting #5: cost 182 inf + 63744 15.680 * * [simplify]: Extracting #6: cost 3 inf + 143874 15.737 * * [simplify]: Extracting #7: cost 0 inf + 144974 15.789 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 15.789 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 15.790 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 15.790 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 15.790 * * [simplify]: iters left: 6 (16 enodes) 15.795 * * [simplify]: iters left: 5 (63 enodes) 15.807 * * [simplify]: iters left: 4 (135 enodes) 15.853 * * [simplify]: iters left: 3 (409 enodes) 16.178 * * [simplify]: Extracting #0: cost 1 inf + 0 16.178 * * [simplify]: Extracting #1: cost 70 inf + 0 16.181 * * [simplify]: Extracting #2: cost 384 inf + 0 16.185 * * [simplify]: Extracting #3: cost 371 inf + 5484 16.193 * * [simplify]: Extracting #4: cost 306 inf + 22123 16.213 * * [simplify]: Extracting #5: cost 174 inf + 73482 16.250 * * [simplify]: Extracting #6: cost 9 inf + 144143 16.295 * * [simplify]: Extracting #7: cost 0 inf + 144938 16.353 * * [simplify]: Extracting #8: cost 0 inf + 144748 16.385 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 16.385 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.385 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 16.385 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 16.386 * * [simplify]: iters left: 6 (16 enodes) 16.390 * * [simplify]: iters left: 5 (67 enodes) 16.401 * * [simplify]: iters left: 4 (136 enodes) 16.450 * * [simplify]: iters left: 3 (364 enodes) 16.681 * * [simplify]: Extracting #0: cost 1 inf + 0 16.681 * * [simplify]: Extracting #1: cost 62 inf + 0 16.682 * * [simplify]: Extracting #2: cost 325 inf + 0 16.684 * * [simplify]: Extracting #3: cost 344 inf + 4236 16.687 * * [simplify]: Extracting #4: cost 302 inf + 14346 16.701 * * [simplify]: Extracting #5: cost 171 inf + 62575 16.736 * * [simplify]: Extracting #6: cost 9 inf + 127185 16.771 * * [simplify]: Extracting #7: cost 0 inf + 124566 16.799 * * [simplify]: Extracting #8: cost 0 inf + 124346 16.826 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 16.826 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.826 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 16.826 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 16.827 * * [simplify]: iters left: 6 (18 enodes) 16.832 * * [simplify]: iters left: 5 (75 enodes) 16.844 * * [simplify]: iters left: 4 (153 enodes) 16.890 * * [simplify]: iters left: 3 (475 enodes) 17.295 * * [simplify]: Extracting #0: cost 1 inf + 0 17.296 * * [simplify]: Extracting #1: cost 84 inf + 0 17.297 * * [simplify]: Extracting #2: cost 434 inf + 0 17.300 * * [simplify]: Extracting #3: cost 400 inf + 11081 17.304 * * [simplify]: Extracting #4: cost 349 inf + 23822 17.321 * * [simplify]: Extracting #5: cost 211 inf + 78498 17.355 * * [simplify]: Extracting #6: cost 13 inf + 162504 17.391 * * [simplify]: Extracting #7: cost 0 inf + 165480 17.429 * * [simplify]: Extracting #8: cost 0 inf + 165120 17.465 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.465 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 17.465 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 17.465 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 17.465 * * [simplify]: iters left: 6 (16 enodes) 17.470 * * [simplify]: iters left: 5 (63 enodes) 17.483 * * [simplify]: iters left: 4 (131 enodes) 17.528 * * [simplify]: iters left: 3 (400 enodes) 17.898 * * [simplify]: Extracting #0: cost 1 inf + 0 17.898 * * [simplify]: Extracting #1: cost 73 inf + 0 17.900 * * [simplify]: Extracting #2: cost 360 inf + 0 17.902 * * [simplify]: Extracting #3: cost 368 inf + 1570 17.906 * * [simplify]: Extracting #4: cost 284 inf + 22316 17.915 * * [simplify]: Extracting #5: cost 181 inf + 60735 17.960 * * [simplify]: Extracting #6: cost 16 inf + 128257 18.018 * * [simplify]: Extracting #7: cost 0 inf + 132824 18.071 * * [simplify]: Extracting #8: cost 0 inf + 132754 18.109 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 18.109 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (* (cos (/ K 2)) J))) 18.109 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 18.109 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 18.110 * * [simplify]: iters left: 6 (12 enodes) 18.116 * * [simplify]: iters left: 5 (49 enodes) 18.129 * * [simplify]: iters left: 4 (96 enodes) 18.147 * * [simplify]: iters left: 3 (241 enodes) 18.281 * * [simplify]: Extracting #0: cost 1 inf + 0 18.281 * * [simplify]: Extracting #1: cost 49 inf + 0 18.282 * * [simplify]: Extracting #2: cost 251 inf + 0 18.283 * * [simplify]: Extracting #3: cost 249 inf + 1539 18.285 * * [simplify]: Extracting #4: cost 212 inf + 9334 18.287 * * [simplify]: Extracting #5: cost 194 inf + 13677 18.290 * * [simplify]: Extracting #6: cost 164 inf + 24866 18.301 * * [simplify]: Extracting #7: cost 45 inf + 75345 18.326 * * [simplify]: Extracting #8: cost 2 inf + 93245 18.346 * * [simplify]: Extracting #9: cost 0 inf + 93841 18.380 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 18.380 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 18.380 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 18.380 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 18.381 * * [simplify]: iters left: 6 (14 enodes) 18.388 * * [simplify]: iters left: 5 (54 enodes) 18.406 * * [simplify]: iters left: 4 (109 enodes) 18.433 * * [simplify]: iters left: 3 (265 enodes) 18.559 * * [simplify]: Extracting #0: cost 1 inf + 0 18.559 * * [simplify]: Extracting #1: cost 49 inf + 0 18.560 * * [simplify]: Extracting #2: cost 242 inf + 0 18.561 * * [simplify]: Extracting #3: cost 259 inf + 523 18.564 * * [simplify]: Extracting #4: cost 212 inf + 10345 18.571 * * [simplify]: Extracting #5: cost 159 inf + 24153 18.597 * * [simplify]: Extracting #6: cost 18 inf + 79713 18.630 * * [simplify]: Extracting #7: cost 0 inf + 86997 18.663 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.663 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.663 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 18.663 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 18.664 * * [simplify]: iters left: 6 (18 enodes) 18.672 * * [simplify]: iters left: 5 (73 enodes) 18.700 * * [simplify]: iters left: 4 (156 enodes) 18.745 * * [simplify]: iters left: 3 (366 enodes) 18.932 * * [simplify]: Extracting #0: cost 1 inf + 0 18.932 * * [simplify]: Extracting #1: cost 81 inf + 0 18.933 * * [simplify]: Extracting #2: cost 315 inf + 0 18.934 * * [simplify]: Extracting #3: cost 336 inf + 1721 18.937 * * [simplify]: Extracting #4: cost 282 inf + 12964 18.944 * * [simplify]: Extracting #5: cost 226 inf + 27763 18.965 * * [simplify]: Extracting #6: cost 44 inf + 102658 18.995 * * [simplify]: Extracting #7: cost 0 inf + 118994 19.042 * * [simplify]: Extracting #8: cost 0 inf + 118854 19.089 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.089 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.089 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 19.090 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 19.090 * * [simplify]: iters left: 6 (16 enodes) 19.098 * * [simplify]: iters left: 5 (67 enodes) 19.121 * * [simplify]: iters left: 4 (134 enodes) 19.173 * * [simplify]: iters left: 3 (341 enodes) 19.376 * * [simplify]: Extracting #0: cost 1 inf + 0 19.376 * * [simplify]: Extracting #1: cost 69 inf + 0 19.379 * * [simplify]: Extracting #2: cost 344 inf + 0 19.382 * * [simplify]: Extracting #3: cost 365 inf + 1843 19.387 * * [simplify]: Extracting #4: cost 320 inf + 11850 19.405 * * [simplify]: Extracting #5: cost 166 inf + 66434 19.456 * * [simplify]: Extracting #6: cost 7 inf + 128209 19.507 * * [simplify]: Extracting #7: cost 0 inf + 129716 19.542 * * [simplify]: Extracting #8: cost 0 inf + 129576 19.576 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.577 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.577 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 19.577 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 19.577 * * [simplify]: iters left: 6 (14 enodes) 19.581 * * [simplify]: iters left: 5 (54 enodes) 19.590 * * [simplify]: iters left: 4 (106 enodes) 19.614 * * [simplify]: iters left: 3 (231 enodes) 19.681 * * [simplify]: Extracting #0: cost 1 inf + 0 19.681 * * [simplify]: Extracting #1: cost 64 inf + 0 19.682 * * [simplify]: Extracting #2: cost 246 inf + 0 19.683 * * [simplify]: Extracting #3: cost 259 inf + 560 19.684 * * [simplify]: Extracting #4: cost 218 inf + 8763 19.688 * * [simplify]: Extracting #5: cost 148 inf + 29077 19.702 * * [simplify]: Extracting #6: cost 27 inf + 76331 19.729 * * [simplify]: Extracting #7: cost 0 inf + 87431 19.744 * * [simplify]: Extracting #8: cost 0 inf + 87391 19.763 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.763 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.763 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 19.763 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 19.763 * * [simplify]: iters left: 6 (11 enodes) 19.769 * * [simplify]: iters left: 5 (42 enodes) 19.780 * * [simplify]: iters left: 4 (79 enodes) 19.793 * * [simplify]: iters left: 3 (176 enodes) 19.841 * * [simplify]: iters left: 2 (491 enodes) 20.242 * * [simplify]: Extracting #0: cost 1 inf + 0 20.242 * * [simplify]: Extracting #1: cost 79 inf + 0 20.245 * * [simplify]: Extracting #2: cost 424 inf + 0 20.250 * * [simplify]: Extracting #3: cost 434 inf + 1374 20.256 * * [simplify]: Extracting #4: cost 365 inf + 15165 20.277 * * [simplify]: Extracting #5: cost 222 inf + 60738 20.344 * * [simplify]: Extracting #6: cost 20 inf + 142135 20.379 * * [simplify]: Extracting #7: cost 0 inf + 147485 20.429 * * [simplify]: Extracting #8: cost 0 inf + 147405 20.488 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 20.488 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 20.488 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 20.488 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 20.488 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 20.489 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 20.489 * * [simplify]: iters left: 6 (18 enodes) 20.495 * * [simplify]: iters left: 5 (81 enodes) 20.514 * * [simplify]: iters left: 4 (297 enodes) 21.006 * * [simplify]: Extracting #0: cost 1 inf + 0 21.006 * * [simplify]: Extracting #1: cost 317 inf + 0 21.010 * * [simplify]: Extracting #2: cost 1360 inf + 1186 21.019 * * [simplify]: Extracting #3: cost 1159 inf + 28787 21.035 * * [simplify]: Extracting #4: cost 1067 inf + 46078 21.053 * * [simplify]: Extracting #5: cost 1058 inf + 48222 21.092 * * [simplify]: Extracting #6: cost 700 inf + 217292 21.231 * * [simplify]: Extracting #7: cost 50 inf + 478678 21.398 * * [simplify]: Extracting #8: cost 0 inf + 450895 21.557 * * [simplify]: Extracting #9: cost 0 inf + 450215 21.747 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 21.747 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 21.747 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 21.748 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 21.748 * * [simplify]: iters left: 6 (23 enodes) 21.763 * * [simplify]: iters left: 5 (116 enodes) 21.825 * * [simplify]: iters left: 4 (394 enodes) 23.177 * * [simplify]: Extracting #0: cost 1 inf + 0 23.178 * * [simplify]: Extracting #1: cost 305 inf + 0 23.183 * * [simplify]: Extracting #2: cost 1687 inf + 1266 23.193 * * [simplify]: Extracting #3: cost 1524 inf + 28963 23.210 * * [simplify]: Extracting #4: cost 1425 inf + 42935 23.249 * * [simplify]: Extracting #5: cost 1007 inf + 187192 23.409 * * [simplify]: Extracting #6: cost 91 inf + 536933 23.619 * * [simplify]: Extracting #7: cost 0 inf + 555816 23.833 * * [simplify]: Extracting #8: cost 0 inf + 555016 24.025 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 24.025 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 24.025 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 24.026 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 24.026 * * [simplify]: iters left: 6 (23 enodes) 24.034 * * [simplify]: iters left: 5 (117 enodes) 24.077 * * [simplify]: Extracting #0: cost 1 inf + 0 24.077 * * [simplify]: Extracting #1: cost 57 inf + 0 24.078 * * [simplify]: Extracting #2: cost 198 inf + 1 24.078 * * [simplify]: Extracting #3: cost 196 inf + 1963 24.079 * * [simplify]: Extracting #4: cost 175 inf + 4048 24.082 * * [simplify]: Extracting #5: cost 138 inf + 14158 24.090 * * [simplify]: Extracting #6: cost 38 inf + 45666 24.102 * * [simplify]: Extracting #7: cost 0 inf + 59703 24.116 * * [simplify]: Extracting #8: cost 0 inf + 58861 24.128 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 24.128 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 24.128 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 24.129 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 24.129 * * [simplify]: iters left: 6 (23 enodes) 24.136 * * [simplify]: iters left: 5 (110 enodes) 24.175 * * [simplify]: iters left: 4 (408 enodes) 24.809 * * [simplify]: Extracting #0: cost 1 inf + 0 24.810 * * [simplify]: Extracting #1: cost 349 inf + 0 24.814 * * [simplify]: Extracting #2: cost 1362 inf + 253 24.822 * * [simplify]: Extracting #3: cost 1372 inf + 8215 24.836 * * [simplify]: Extracting #4: cost 1293 inf + 19441 24.864 * * [simplify]: Extracting #5: cost 942 inf + 149702 25.026 * * [simplify]: Extracting #6: cost 118 inf + 513336 25.213 * * [simplify]: Extracting #7: cost 0 inf + 530464 25.383 * * [simplify]: Extracting #8: cost 0 inf + 526424 25.599 * * [simplify]: Extracting #9: cost 0 inf + 526264 25.778 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 25.778 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 25.778 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 25.778 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 25.778 * * [simplify]: iters left: 6 (23 enodes) 25.786 * * [simplify]: iters left: 5 (116 enodes) 25.849 * * [simplify]: iters left: 4 (400 enodes) 27.236 * * [simplify]: Extracting #0: cost 1 inf + 0 27.237 * * [simplify]: Extracting #1: cost 338 inf + 0 27.247 * * [simplify]: Extracting #2: cost 1775 inf + 1305 27.268 * * [simplify]: Extracting #3: cost 1631 inf + 26639 27.292 * * [simplify]: Extracting #4: cost 1492 inf + 45349 27.375 * * [simplify]: Extracting #5: cost 991 inf + 264110 27.561 * * [simplify]: Extracting #6: cost 19 inf + 641565 27.791 * * [simplify]: Extracting #7: cost 0 inf + 581792 28.026 * * [simplify]: Extracting #8: cost 0 inf + 581352 28.223 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 28.223 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (* (cos (/ K 2)) J))) 28.223 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 28.224 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 28.224 * * [simplify]: iters left: 6 (16 enodes) 28.230 * * [simplify]: iters left: 5 (79 enodes) 28.253 * * [simplify]: iters left: 4 (300 enodes) 28.807 * * [simplify]: Extracting #0: cost 1 inf + 0 28.808 * * [simplify]: Extracting #1: cost 276 inf + 0 28.815 * * [simplify]: Extracting #2: cost 1222 inf + 1113 28.823 * * [simplify]: Extracting #3: cost 1095 inf + 16811 28.831 * * [simplify]: Extracting #4: cost 1061 inf + 20800 28.879 * * [simplify]: Extracting #5: cost 657 inf + 183765 28.998 * * [simplify]: Extracting #6: cost 22 inf + 410882 29.168 * * [simplify]: Extracting #7: cost 0 inf + 405405 29.335 * * [simplify]: Extracting #8: cost 0 inf + 405114 29.493 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 29.493 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 29.494 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 29.494 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 29.494 * * [simplify]: iters left: 6 (20 enodes) 29.508 * * [simplify]: iters left: 5 (110 enodes) 29.537 * * [simplify]: iters left: 4 (486 enodes) 30.518 * * [simplify]: Extracting #0: cost 1 inf + 0 30.519 * * [simplify]: Extracting #1: cost 357 inf + 0 30.525 * * [simplify]: Extracting #2: cost 1671 inf + 4 30.535 * * [simplify]: Extracting #3: cost 1668 inf + 6826 30.555 * * [simplify]: Extracting #4: cost 1547 inf + 21334 30.604 * * [simplify]: Extracting #5: cost 1187 inf + 145252 30.792 * * [simplify]: Extracting #6: cost 120 inf + 563013 31.044 * * [simplify]: Extracting #7: cost 0 inf + 585634 31.342 * * [simplify]: Extracting #8: cost 0 inf + 584467 31.588 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 31.588 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 31.588 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 31.589 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 31.589 * * [simplify]: iters left: 6 (20 enodes) 31.602 * * [simplify]: iters left: 5 (104 enodes) 31.633 * * [simplify]: iters left: 4 (410 enodes) 32.258 * * [simplify]: Extracting #0: cost 1 inf + 0 32.259 * * [simplify]: Extracting #1: cost 320 inf + 0 32.262 * * [simplify]: Extracting #2: cost 1273 inf + 422 32.269 * * [simplify]: Extracting #3: cost 1300 inf + 5654 32.276 * * [simplify]: Extracting #4: cost 1233 inf + 13684 32.326 * * [simplify]: Extracting #5: cost 817 inf + 180631 32.461 * * [simplify]: Extracting #6: cost 86 inf + 457006 32.665 * * [simplify]: Extracting #7: cost 0 inf + 479132 32.832 * * [simplify]: Extracting #8: cost 0 inf + 478812 33.019 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 33.019 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 33.019 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 33.020 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 33.020 * * [simplify]: iters left: 6 (23 enodes) 33.035 * * [simplify]: iters left: 5 (117 enodes) 33.084 * * [simplify]: Extracting #0: cost 1 inf + 0 33.084 * * [simplify]: Extracting #1: cost 57 inf + 0 33.085 * * [simplify]: Extracting #2: cost 198 inf + 1 33.086 * * [simplify]: Extracting #3: cost 195 inf + 2086 33.087 * * [simplify]: Extracting #4: cost 174 inf + 4290 33.090 * * [simplify]: Extracting #5: cost 116 inf + 19820 33.105 * * [simplify]: Extracting #6: cost 12 inf + 57316 33.129 * * [simplify]: Extracting #7: cost 0 inf + 58322 33.153 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 33.153 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (* (cos (/ K 2)) J))) 33.153 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 33.154 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 33.154 * * [simplify]: iters left: 6 (20 enodes) 33.168 * * [simplify]: iters left: 5 (110 enodes) 33.230 * * [simplify]: iters left: 4 (486 enodes) 34.236 * * [simplify]: Extracting #0: cost 1 inf + 0 34.237 * * [simplify]: Extracting #1: cost 354 inf + 0 34.247 * * [simplify]: Extracting #2: cost 1732 inf + 947 34.258 * * [simplify]: Extracting #3: cost 1677 inf + 14777 34.275 * * [simplify]: Extracting #4: cost 1558 inf + 34201 34.413 * * [simplify]: Extracting #5: cost 538 inf + 431020 34.621 * * [simplify]: Extracting #6: cost 7 inf + 614791 34.843 * * [simplify]: Extracting #7: cost 0 inf + 600444 35.048 * * [simplify]: Extracting #8: cost 0 inf + 599228 35.252 * * [simplify]: Extracting #9: cost 0 inf + 599108 35.497 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 35.497 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J))) 35.497 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 35.498 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 35.498 * * [simplify]: iters left: 6 (14 enodes) 35.506 * * [simplify]: iters left: 5 (69 enodes) 35.523 * * [simplify]: iters left: 4 (284 enodes) 36.085 * * [simplify]: Extracting #0: cost 1 inf + 0 36.086 * * [simplify]: Extracting #1: cost 264 inf + 0 36.093 * * [simplify]: Extracting #2: cost 1048 inf + 621 36.113 * * [simplify]: Extracting #3: cost 1004 inf + 7706 36.123 * * [simplify]: Extracting #4: cost 992 inf + 8857 36.160 * * [simplify]: Extracting #5: cost 693 inf + 102376 36.289 * * [simplify]: Extracting #6: cost 68 inf + 348361 36.425 * * [simplify]: Extracting #7: cost 0 inf + 362304 36.538 * * [simplify]: Extracting #8: cost 0 inf + 360357 36.676 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 36.677 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 36.677 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 36.677 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 36.677 * * [simplify]: iters left: 6 (17 enodes) 36.683 * * [simplify]: iters left: 5 (87 enodes) 36.714 * * [simplify]: iters left: 4 (347 enodes) 37.384 * * [simplify]: Extracting #0: cost 1 inf + 0 37.385 * * [simplify]: Extracting #1: cost 232 inf + 0 37.391 * * [simplify]: Extracting #2: cost 1150 inf + 375 37.402 * * [simplify]: Extracting #3: cost 1098 inf + 7458 37.414 * * [simplify]: Extracting #4: cost 1069 inf + 11014 37.440 * * [simplify]: Extracting #5: cost 711 inf + 123503 37.584 * * [simplify]: Extracting #6: cost 36 inf + 371223 37.730 * * [simplify]: Extracting #7: cost 0 inf + 378721 37.884 * * [simplify]: Extracting #8: cost 0 inf + 378639 38.037 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 38.037 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 38.037 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 38.038 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 38.038 * * [simplify]: iters left: 6 (23 enodes) 38.052 * * [simplify]: iters left: 5 (110 enodes) 38.099 * * [simplify]: iters left: 4 (410 enodes) 38.708 * * [simplify]: Extracting #0: cost 1 inf + 0 38.709 * * [simplify]: Extracting #1: cost 359 inf + 0 38.717 * * [simplify]: Extracting #2: cost 1287 inf + 419 38.731 * * [simplify]: Extracting #3: cost 1261 inf + 9929 38.747 * * [simplify]: Extracting #4: cost 1180 inf + 21019 38.802 * * [simplify]: Extracting #5: cost 735 inf + 199153 38.981 * * [simplify]: Extracting #6: cost 8 inf + 499942 39.133 * * [simplify]: Extracting #7: cost 0 inf + 474987 39.299 * * [simplify]: Extracting #8: cost 0 inf + 473616 39.478 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 39.478 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 39.478 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 39.478 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 39.479 * * [simplify]: iters left: 6 (20 enodes) 39.486 * * [simplify]: iters left: 5 (104 enodes) 39.513 * * [simplify]: iters left: 4 (410 enodes) 40.166 * * [simplify]: Extracting #0: cost 1 inf + 0 40.166 * * [simplify]: Extracting #1: cost 333 inf + 0 40.170 * * [simplify]: Extracting #2: cost 1241 inf + 215 40.180 * * [simplify]: Extracting #3: cost 1232 inf + 5451 40.194 * * [simplify]: Extracting #4: cost 1158 inf + 14257 40.258 * * [simplify]: Extracting #5: cost 643 inf + 213569 40.411 * * [simplify]: Extracting #6: cost 28 inf + 452599 40.599 * * [simplify]: Extracting #7: cost 0 inf + 451462 40.774 * * [simplify]: Extracting #8: cost 0 inf + 451384 40.967 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 40.967 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 40.968 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 40.968 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 40.968 * * [simplify]: iters left: 6 (17 enodes) 40.979 * * [simplify]: iters left: 5 (87 enodes) 41.011 * * [simplify]: iters left: 4 (343 enodes) 41.676 * * [simplify]: Extracting #0: cost 1 inf + 0 41.677 * * [simplify]: Extracting #1: cost 233 inf + 0 41.680 * * [simplify]: Extracting #2: cost 1034 inf + 459 41.685 * * [simplify]: Extracting #3: cost 981 inf + 8158 41.691 * * [simplify]: Extracting #4: cost 963 inf + 10234 41.716 * * [simplify]: Extracting #5: cost 665 inf + 100602 41.830 * * [simplify]: Extracting #6: cost 35 inf + 335827 41.965 * * [simplify]: Extracting #7: cost 0 inf + 343092 42.120 * * [simplify]: Extracting #8: cost 0 inf + 342649 42.251 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 42.251 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.252 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 42.252 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 42.252 * * [simplify]: iters left: 6 (12 enodes) 42.259 * * [simplify]: iters left: 5 (55 enodes) 42.283 * * [simplify]: iters left: 4 (179 enodes) 42.490 * * [simplify]: Extracting #0: cost 1 inf + 0 42.491 * * [simplify]: Extracting #1: cost 111 inf + 0 42.492 * * [simplify]: Extracting #2: cost 476 inf + 4 42.494 * * [simplify]: Extracting #3: cost 509 inf + 1174 42.510 * * [simplify]: Extracting #4: cost 279 inf + 68658 42.580 * * [simplify]: Extracting #5: cost 18 inf + 157912 42.635 * * [simplify]: Extracting #6: cost 0 inf + 164075 42.713 * * [simplify]: Extracting #7: cost 0 inf + 164036 42.760 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 42.760 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 42.760 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 42.760 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 42.760 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 42.760 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 42.760 * [simplify]: Simplifying (* U U) 42.760 * * [simplify]: iters left: 2 (2 enodes) 42.761 * * [simplify]: iters left: 1 (6 enodes) 42.762 * * [simplify]: Extracting #0: cost 1 inf + 0 42.762 * * [simplify]: Extracting #1: cost 3 inf + 0 42.762 * * [simplify]: Extracting #2: cost 2 inf + 1 42.762 * * [simplify]: Extracting #3: cost 0 inf + 83 42.762 * [simplify]: Simplified to (* U U) 42.762 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.762 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 42.762 * * [simplify]: iters left: 6 (8 enodes) 42.765 * * [simplify]: iters left: 5 (36 enodes) 42.772 * * [simplify]: iters left: 4 (87 enodes) 42.799 * * [simplify]: iters left: 3 (207 enodes) 42.886 * * [simplify]: iters left: 2 (331 enodes) 42.963 * * [simplify]: iters left: 1 (343 enodes) 43.060 * * [simplify]: Extracting #0: cost 1 inf + 0 43.060 * * [simplify]: Extracting #1: cost 27 inf + 0 43.060 * * [simplify]: Extracting #2: cost 45 inf + 126 43.060 * * [simplify]: Extracting #3: cost 41 inf + 497 43.062 * * [simplify]: Extracting #4: cost 38 inf + 582 43.063 * * [simplify]: Extracting #5: cost 14 inf + 4770 43.065 * * [simplify]: Extracting #6: cost 0 inf + 7288 43.067 * * [simplify]: Extracting #7: cost 0 inf + 7248 43.070 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 43.070 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (* (cos (/ K 2)) J))) 43.070 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 43.070 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 43.070 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 43.070 * * [simplify]: iters left: 6 (12 enodes) 43.073 * * [simplify]: iters left: 5 (46 enodes) 43.084 * * [simplify]: iters left: 4 (68 enodes) 43.106 * * [simplify]: iters left: 3 (95 enodes) 43.136 * * [simplify]: iters left: 2 (144 enodes) 43.195 * * [simplify]: iters left: 1 (288 enodes) 43.284 * * [simplify]: Extracting #0: cost 1 inf + 0 43.285 * * [simplify]: Extracting #1: cost 71 inf + 0 43.285 * * [simplify]: Extracting #2: cost 140 inf + 46 43.286 * * [simplify]: Extracting #3: cost 128 inf + 636 43.288 * * [simplify]: Extracting #4: cost 111 inf + 2561 43.291 * * [simplify]: Extracting #5: cost 99 inf + 4759 43.301 * * [simplify]: Extracting #6: cost 26 inf + 35874 43.318 * * [simplify]: Extracting #7: cost 0 inf + 49849 43.335 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 43.336 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.336 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.336 * * [simplify]: iters left: 6 (11 enodes) 43.341 * * [simplify]: iters left: 5 (39 enodes) 43.353 * * [simplify]: iters left: 4 (57 enodes) 43.370 * * [simplify]: iters left: 3 (74 enodes) 43.389 * * [simplify]: iters left: 2 (79 enodes) 43.407 * * [simplify]: Extracting #0: cost 1 inf + 0 43.407 * * [simplify]: Extracting #1: cost 3 inf + 0 43.407 * * [simplify]: Extracting #2: cost 5 inf + 0 43.407 * * [simplify]: Extracting #3: cost 16 inf + 0 43.407 * * [simplify]: Extracting #4: cost 25 inf + 3 43.408 * * [simplify]: Extracting #5: cost 28 inf + 129 43.408 * * [simplify]: Extracting #6: cost 13 inf + 1889 43.409 * * [simplify]: Extracting #7: cost 3 inf + 3901 43.411 * * [simplify]: Extracting #8: cost 0 inf + 4410 43.413 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 43.413 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.413 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 43.413 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.414 * * [simplify]: iters left: 6 (11 enodes) 43.419 * * [simplify]: iters left: 5 (37 enodes) 43.433 * * [simplify]: iters left: 4 (56 enodes) 43.449 * * [simplify]: iters left: 3 (73 enodes) 43.464 * * [simplify]: iters left: 2 (78 enodes) 43.474 * * [simplify]: Extracting #0: cost 1 inf + 0 43.474 * * [simplify]: Extracting #1: cost 13 inf + 0 43.474 * * [simplify]: Extracting #2: cost 23 inf + 3 43.474 * * [simplify]: Extracting #3: cost 26 inf + 129 43.474 * * [simplify]: Extracting #4: cost 16 inf + 851 43.474 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.475 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.476 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.476 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.476 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.476 * * [simplify]: iters left: 6 (11 enodes) 43.481 * * [simplify]: iters left: 5 (37 enodes) 43.493 * * [simplify]: iters left: 4 (56 enodes) 43.509 * * [simplify]: iters left: 3 (73 enodes) 43.520 * * [simplify]: iters left: 2 (78 enodes) 43.529 * * [simplify]: Extracting #0: cost 1 inf + 0 43.529 * * [simplify]: Extracting #1: cost 13 inf + 0 43.529 * * [simplify]: Extracting #2: cost 23 inf + 3 43.529 * * [simplify]: Extracting #3: cost 26 inf + 129 43.529 * * [simplify]: Extracting #4: cost 16 inf + 851 43.530 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.531 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.531 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.531 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 43.532 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 43.532 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 43.532 * * [simplify]: iters left: 6 (6 enodes) 43.534 * * [simplify]: iters left: 5 (24 enodes) 43.539 * * [simplify]: iters left: 4 (46 enodes) 43.548 * * [simplify]: iters left: 3 (94 enodes) 43.577 * * [simplify]: iters left: 2 (156 enodes) 43.630 * * [simplify]: iters left: 1 (177 enodes) 43.688 * * [simplify]: Extracting #0: cost 1 inf + 0 43.688 * * [simplify]: Extracting #1: cost 29 inf + 0 43.689 * * [simplify]: Extracting #2: cost 44 inf + 452 43.691 * * [simplify]: Extracting #3: cost 11 inf + 5196 43.694 * * [simplify]: Extracting #4: cost 0 inf + 6946 43.696 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 43.697 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.697 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 43.697 * * [simplify]: iters left: 6 (10 enodes) 43.702 * * [simplify]: iters left: 5 (37 enodes) 43.712 * * [simplify]: iters left: 4 (67 enodes) 43.724 * * [simplify]: iters left: 3 (153 enodes) 43.772 * * [simplify]: iters left: 2 (259 enodes) 43.846 * * [simplify]: iters left: 1 (355 enodes) 43.929 * * [simplify]: Extracting #0: cost 1 inf + 0 43.929 * * [simplify]: Extracting #1: cost 36 inf + 0 43.929 * * [simplify]: Extracting #2: cost 69 inf + 1 43.930 * * [simplify]: Extracting #3: cost 67 inf + 287 43.930 * * [simplify]: Extracting #4: cost 53 inf + 1870 43.931 * * [simplify]: Extracting #5: cost 34 inf + 5949 43.936 * * [simplify]: Extracting #6: cost 5 inf + 13388 43.943 * * [simplify]: Extracting #7: cost 0 inf + 14706 43.951 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 43.951 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.951 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 43.952 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 43.952 * * [simplify]: iters left: 5 (5 enodes) 43.955 * * [simplify]: iters left: 4 (19 enodes) 43.961 * * [simplify]: iters left: 3 (27 enodes) 43.969 * * [simplify]: iters left: 2 (34 enodes) 43.979 * * [simplify]: iters left: 1 (43 enodes) 43.991 * * [simplify]: Extracting #0: cost 1 inf + 0 43.991 * * [simplify]: Extracting #1: cost 11 inf + 0 43.991 * * [simplify]: Extracting #2: cost 14 inf + 3 43.991 * * [simplify]: Extracting #3: cost 5 inf + 539 43.992 * * [simplify]: Extracting #4: cost 1 inf + 827 43.992 * * [simplify]: Extracting #5: cost 0 inf + 909 43.993 * [simplify]: Simplified to (/ U 4) 43.993 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.993 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 43.993 * * [simplify]: iters left: 6 (10 enodes) 43.998 * * [simplify]: iters left: 5 (37 enodes) 44.010 * * [simplify]: iters left: 4 (67 enodes) 44.034 * * [simplify]: iters left: 3 (146 enodes) 44.092 * * [simplify]: iters left: 2 (243 enodes) 44.180 * * [simplify]: iters left: 1 (344 enodes) 44.273 * * [simplify]: Extracting #0: cost 1 inf + 0 44.273 * * [simplify]: Extracting #1: cost 35 inf + 0 44.274 * * [simplify]: Extracting #2: cost 62 inf + 166 44.275 * * [simplify]: Extracting #3: cost 53 inf + 1108 44.277 * * [simplify]: Extracting #4: cost 32 inf + 4488 44.281 * * [simplify]: Extracting #5: cost 2 inf + 10914 44.284 * * [simplify]: Extracting #6: cost 0 inf + 11240 44.288 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 44.288 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.288 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 44.288 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 44.288 * * [simplify]: iters left: 4 (4 enodes) 44.292 * * [simplify]: iters left: 3 (20 enodes) 44.295 * * [simplify]: iters left: 2 (22 enodes) 44.298 * * [simplify]: Extracting #0: cost 1 inf + 0 44.298 * * [simplify]: Extracting #1: cost 0 inf + 1 44.298 * [simplify]: Simplified to 1/4 44.298 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.298 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 44.298 * * [simplify]: iters left: 6 (9 enodes) 44.301 * * [simplify]: iters left: 5 (34 enodes) 44.308 * * [simplify]: iters left: 4 (64 enodes) 44.334 * * [simplify]: iters left: 3 (148 enodes) 44.380 * * [simplify]: iters left: 2 (254 enodes) 44.451 * * [simplify]: iters left: 1 (351 enodes) 44.547 * * [simplify]: Extracting #0: cost 1 inf + 0 44.547 * * [simplify]: Extracting #1: cost 36 inf + 0 44.548 * * [simplify]: Extracting #2: cost 65 inf + 43 44.548 * * [simplify]: Extracting #3: cost 56 inf + 905 44.549 * * [simplify]: Extracting #4: cost 51 inf + 992 44.550 * * [simplify]: Extracting #5: cost 34 inf + 3846 44.553 * * [simplify]: Extracting #6: cost 1 inf + 10281 44.556 * * [simplify]: Extracting #7: cost 0 inf + 10464 44.560 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 44.560 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.560 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 44.560 * [simplify]: Simplifying (* 1 1) 44.560 * * [simplify]: iters left: 2 (2 enodes) 44.561 * * [simplify]: iters left: 1 (6 enodes) 44.562 * * [simplify]: Extracting #0: cost 1 inf + 0 44.562 * * [simplify]: Extracting #1: cost 0 inf + 1 44.562 * [simplify]: Simplified to 1 44.562 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.563 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 44.563 * * [simplify]: iters left: 6 (10 enodes) 44.565 * * [simplify]: iters left: 5 (40 enodes) 44.579 * * [simplify]: iters left: 4 (91 enodes) 44.613 * * [simplify]: iters left: 3 (345 enodes) 44.836 * * [simplify]: Extracting #0: cost 1 inf + 0 44.836 * * [simplify]: Extracting #1: cost 119 inf + 0 44.837 * * [simplify]: Extracting #2: cost 236 inf + 45 44.838 * * [simplify]: Extracting #3: cost 207 inf + 2474 44.846 * * [simplify]: Extracting #4: cost 104 inf + 22392 44.873 * * [simplify]: Extracting #5: cost 6 inf + 45410 44.887 * * [simplify]: Extracting #6: cost 0 inf + 46788 44.914 * * [simplify]: Extracting #7: cost 0 inf + 46787 44.932 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 44.932 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.932 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 44.932 * [simplify]: Simplifying (* U U) 44.932 * * [simplify]: iters left: 2 (2 enodes) 44.933 * * [simplify]: iters left: 1 (6 enodes) 44.934 * * [simplify]: Extracting #0: cost 1 inf + 0 44.934 * * [simplify]: Extracting #1: cost 3 inf + 0 44.934 * * [simplify]: Extracting #2: cost 2 inf + 1 44.934 * * [simplify]: Extracting #3: cost 0 inf + 83 44.934 * [simplify]: Simplified to (* U U) 44.934 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.934 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 44.934 * * [simplify]: iters left: 6 (10 enodes) 44.937 * * [simplify]: iters left: 5 (43 enodes) 44.946 * * [simplify]: iters left: 4 (82 enodes) 44.966 * * [simplify]: iters left: 3 (271 enodes) 45.160 * * [simplify]: Extracting #0: cost 1 inf + 0 45.160 * * [simplify]: Extracting #1: cost 72 inf + 0 45.162 * * [simplify]: Extracting #2: cost 165 inf + 90 45.164 * * [simplify]: Extracting #3: cost 151 inf + 1785 45.169 * * [simplify]: Extracting #4: cost 98 inf + 11781 45.185 * * [simplify]: Extracting #5: cost 3 inf + 32308 45.204 * * [simplify]: Extracting #6: cost 0 inf + 32858 45.227 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 45.227 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 45.227 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 45.227 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.228 * * [simplify]: iters left: 6 (11 enodes) 45.233 * * [simplify]: iters left: 5 (37 enodes) 45.239 * * [simplify]: iters left: 4 (56 enodes) 45.247 * * [simplify]: iters left: 3 (73 enodes) 45.256 * * [simplify]: iters left: 2 (78 enodes) 45.266 * * [simplify]: Extracting #0: cost 1 inf + 0 45.266 * * [simplify]: Extracting #1: cost 13 inf + 0 45.266 * * [simplify]: Extracting #2: cost 23 inf + 3 45.266 * * [simplify]: Extracting #3: cost 26 inf + 129 45.266 * * [simplify]: Extracting #4: cost 16 inf + 851 45.267 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.268 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.269 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.269 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 45.269 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.269 * * [simplify]: iters left: 6 (11 enodes) 45.272 * * [simplify]: iters left: 5 (37 enodes) 45.278 * * [simplify]: iters left: 4 (56 enodes) 45.290 * * [simplify]: iters left: 3 (73 enodes) 45.308 * * [simplify]: iters left: 2 (78 enodes) 45.321 * * [simplify]: Extracting #0: cost 1 inf + 0 45.321 * * [simplify]: Extracting #1: cost 13 inf + 0 45.322 * * [simplify]: Extracting #2: cost 23 inf + 3 45.322 * * [simplify]: Extracting #3: cost 26 inf + 129 45.322 * * [simplify]: Extracting #4: cost 16 inf + 851 45.322 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.323 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.324 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.324 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 45.324 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 45.324 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.324 * * [simplify]: iters left: 6 (9 enodes) 45.327 * * [simplify]: iters left: 5 (33 enodes) 45.332 * * [simplify]: iters left: 4 (51 enodes) 45.340 * * [simplify]: iters left: 3 (68 enodes) 45.349 * * [simplify]: iters left: 2 (73 enodes) 45.366 * * [simplify]: Extracting #0: cost 1 inf + 0 45.366 * * [simplify]: Extracting #1: cost 12 inf + 0 45.366 * * [simplify]: Extracting #2: cost 21 inf + 3 45.367 * * [simplify]: Extracting #3: cost 21 inf + 337 45.367 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.368 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.369 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.370 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J))) 45.370 * [simplify]: Simplifying (* 2 1) 45.370 * * [simplify]: iters left: 2 (3 enodes) 45.373 * * [simplify]: iters left: 1 (9 enodes) 45.376 * * [simplify]: Extracting #0: cost 1 inf + 0 45.376 * * [simplify]: Extracting #1: cost 0 inf + 1 45.376 * [simplify]: Simplified to 2 45.376 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 45.376 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 45.376 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.376 * * [simplify]: iters left: 6 (10 enodes) 45.381 * * [simplify]: iters left: 5 (36 enodes) 45.393 * * [simplify]: iters left: 4 (54 enodes) 45.409 * * [simplify]: iters left: 3 (71 enodes) 45.427 * * [simplify]: iters left: 2 (76 enodes) 45.445 * * [simplify]: Extracting #0: cost 1 inf + 0 45.445 * * [simplify]: Extracting #1: cost 3 inf + 0 45.445 * * [simplify]: Extracting #2: cost 14 inf + 0 45.445 * * [simplify]: Extracting #3: cost 23 inf + 3 45.445 * * [simplify]: Extracting #4: cost 24 inf + 295 45.446 * * [simplify]: Extracting #5: cost 9 inf + 2499 45.446 * * [simplify]: Extracting #6: cost 0 inf + 3722 45.447 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.448 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.448 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 45.449 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.449 * * [simplify]: iters left: 6 (10 enodes) 45.451 * * [simplify]: iters left: 5 (36 enodes) 45.457 * * [simplify]: iters left: 4 (54 enodes) 45.465 * * [simplify]: iters left: 3 (71 enodes) 45.474 * * [simplify]: iters left: 2 (76 enodes) 45.483 * * [simplify]: Extracting #0: cost 1 inf + 0 45.483 * * [simplify]: Extracting #1: cost 3 inf + 0 45.483 * * [simplify]: Extracting #2: cost 14 inf + 0 45.483 * * [simplify]: Extracting #3: cost 23 inf + 3 45.483 * * [simplify]: Extracting #4: cost 24 inf + 295 45.483 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.484 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.485 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.485 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.485 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 45.485 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 45.485 * * [simplify]: iters left: 6 (9 enodes) 45.487 * * [simplify]: iters left: 5 (30 enodes) 45.492 * * [simplify]: iters left: 4 (34 enodes) 45.497 * * [simplify]: iters left: 3 (36 enodes) 45.502 * * [simplify]: Extracting #0: cost 1 inf + 0 45.502 * * [simplify]: Extracting #1: cost 8 inf + 0 45.502 * * [simplify]: Extracting #2: cost 14 inf + 1 45.502 * * [simplify]: Extracting #3: cost 16 inf + 2 45.502 * * [simplify]: Extracting #4: cost 11 inf + 288 45.502 * * [simplify]: Extracting #5: cost 5 inf + 962 45.502 * * [simplify]: Extracting #6: cost 0 inf + 1958 45.503 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 45.503 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.503 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 45.503 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 45.503 * * [simplify]: iters left: 6 (9 enodes) 45.505 * * [simplify]: iters left: 5 (30 enodes) 45.509 * * [simplify]: iters left: 4 (34 enodes) 45.514 * * [simplify]: iters left: 3 (36 enodes) 45.521 * * [simplify]: Extracting #0: cost 1 inf + 0 45.521 * * [simplify]: Extracting #1: cost 8 inf + 0 45.521 * * [simplify]: Extracting #2: cost 14 inf + 1 45.521 * * [simplify]: Extracting #3: cost 16 inf + 2 45.521 * * [simplify]: Extracting #4: cost 11 inf + 168 45.522 * * [simplify]: Extracting #5: cost 5 inf + 762 45.522 * * [simplify]: Extracting #6: cost 0 inf + 1638 45.523 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 45.523 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.523 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 45.523 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 45.523 * * [simplify]: iters left: 6 (8 enodes) 45.527 * * [simplify]: iters left: 5 (27 enodes) 45.537 * * [simplify]: iters left: 4 (31 enodes) 45.547 * * [simplify]: iters left: 3 (33 enodes) 45.556 * * [simplify]: Extracting #0: cost 1 inf + 0 45.556 * * [simplify]: Extracting #1: cost 8 inf + 0 45.556 * * [simplify]: Extracting #2: cost 11 inf + 2 45.556 * * [simplify]: Extracting #3: cost 12 inf + 86 45.556 * * [simplify]: Extracting #4: cost 9 inf + 130 45.557 * * [simplify]: Extracting #5: cost 1 inf + 1132 45.557 * * [simplify]: Extracting #6: cost 0 inf + 1316 45.558 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 45.558 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.558 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 45.558 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.558 * * [simplify]: iters left: 6 (9 enodes) 45.563 * * [simplify]: iters left: 5 (33 enodes) 45.573 * * [simplify]: iters left: 4 (51 enodes) 45.588 * * [simplify]: iters left: 3 (68 enodes) 45.606 * * [simplify]: iters left: 2 (73 enodes) 45.623 * * [simplify]: Extracting #0: cost 1 inf + 0 45.624 * * [simplify]: Extracting #1: cost 12 inf + 0 45.624 * * [simplify]: Extracting #2: cost 21 inf + 3 45.624 * * [simplify]: Extracting #3: cost 21 inf + 337 45.624 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.626 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.627 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.627 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.627 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 45.627 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 45.627 * * [simplify]: iters left: 6 (9 enodes) 45.633 * * [simplify]: iters left: 5 (36 enodes) 45.644 * * [simplify]: iters left: 4 (56 enodes) 45.655 * * [simplify]: iters left: 3 (72 enodes) 45.665 * * [simplify]: iters left: 2 (76 enodes) 45.675 * * [simplify]: Extracting #0: cost 1 inf + 0 45.675 * * [simplify]: Extracting #1: cost 12 inf + 0 45.676 * * [simplify]: Extracting #2: cost 18 inf + 46 45.676 * * [simplify]: Extracting #3: cost 21 inf + 172 45.676 * * [simplify]: Extracting #4: cost 12 inf + 1055 45.676 * * [simplify]: Extracting #5: cost 2 inf + 2464 45.677 * * [simplify]: Extracting #6: cost 0 inf + 2789 45.678 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 45.678 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.678 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 45.679 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.679 * * [simplify]: iters left: 6 (11 enodes) 45.684 * * [simplify]: iters left: 5 (39 enodes) 45.696 * * [simplify]: iters left: 4 (57 enodes) 45.713 * * [simplify]: iters left: 3 (74 enodes) 45.732 * * [simplify]: iters left: 2 (79 enodes) 45.748 * * [simplify]: Extracting #0: cost 1 inf + 0 45.748 * * [simplify]: Extracting #1: cost 3 inf + 0 45.748 * * [simplify]: Extracting #2: cost 5 inf + 0 45.748 * * [simplify]: Extracting #3: cost 16 inf + 0 45.749 * * [simplify]: Extracting #4: cost 25 inf + 3 45.749 * * [simplify]: Extracting #5: cost 28 inf + 129 45.749 * * [simplify]: Extracting #6: cost 13 inf + 1889 45.750 * * [simplify]: Extracting #7: cost 3 inf + 3901 45.750 * * [simplify]: Extracting #8: cost 0 inf + 4410 45.751 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 45.751 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.751 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 45.751 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.751 * * [simplify]: iters left: 6 (10 enodes) 45.754 * * [simplify]: iters left: 5 (36 enodes) 45.760 * * [simplify]: iters left: 4 (54 enodes) 45.767 * * [simplify]: iters left: 3 (71 enodes) 45.781 * * [simplify]: iters left: 2 (76 enodes) 45.799 * * [simplify]: Extracting #0: cost 1 inf + 0 45.799 * * [simplify]: Extracting #1: cost 3 inf + 0 45.799 * * [simplify]: Extracting #2: cost 14 inf + 0 45.800 * * [simplify]: Extracting #3: cost 23 inf + 3 45.800 * * [simplify]: Extracting #4: cost 24 inf + 295 45.801 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.802 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.803 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.803 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.803 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 45.804 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 45.804 * * [simplify]: iters left: 5 (5 enodes) 45.807 * * [simplify]: iters left: 4 (17 enodes) 45.810 * * [simplify]: iters left: 3 (21 enodes) 45.814 * * [simplify]: iters left: 2 (24 enodes) 45.817 * * [simplify]: Extracting #0: cost 1 inf + 0 45.817 * * [simplify]: Extracting #1: cost 7 inf + 0 45.817 * * [simplify]: Extracting #2: cost 11 inf + 1 45.817 * * [simplify]: Extracting #3: cost 10 inf + 2 45.818 * * [simplify]: Extracting #4: cost 0 inf + 1218 45.818 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 45.818 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.818 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 45.818 * [simplify]: Simplifying (/ (sqrt U) 2) 45.818 * * [simplify]: iters left: 3 (4 enodes) 45.819 * * [simplify]: iters left: 2 (12 enodes) 45.821 * * [simplify]: Extracting #0: cost 1 inf + 0 45.821 * * [simplify]: Extracting #1: cost 4 inf + 0 45.821 * * [simplify]: Extracting #2: cost 5 inf + 1 45.821 * * [simplify]: Extracting #3: cost 4 inf + 2 45.821 * * [simplify]: Extracting #4: cost 0 inf + 248 45.821 * [simplify]: Simplified to (/ (sqrt U) 2) 45.821 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.821 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 45.822 * [simplify]: Simplifying (/ 1 2) 45.822 * * [simplify]: iters left: 2 (3 enodes) 45.824 * * [simplify]: iters left: 1 (12 enodes) 45.826 * * [simplify]: Extracting #0: cost 1 inf + 0 45.826 * * [simplify]: Extracting #1: cost 0 inf + 1 45.826 * [simplify]: Simplified to 1/2 45.826 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.826 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 45.826 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 45.826 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 45.826 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 45.826 * * [simplify]: iters left: 6 (7 enodes) 45.828 * * [simplify]: iters left: 5 (25 enodes) 45.832 * * [simplify]: iters left: 4 (33 enodes) 45.837 * * [simplify]: iters left: 3 (39 enodes) 45.847 * * [simplify]: Extracting #0: cost 1 inf + 0 45.847 * * [simplify]: Extracting #1: cost 8 inf + 0 45.847 * * [simplify]: Extracting #2: cost 11 inf + 2 45.847 * * [simplify]: Extracting #3: cost 12 inf + 44 45.847 * * [simplify]: Extracting #4: cost 10 inf + 87 45.847 * * [simplify]: Extracting #5: cost 4 inf + 660 45.848 * * [simplify]: Extracting #6: cost 1 inf + 1128 45.848 * * [simplify]: Extracting #7: cost 0 inf + 1311 45.849 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 45.849 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (* (cos (/ K 2)) J))) 45.849 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 45.850 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 45.850 * * [simplify]: iters left: 6 (10 enodes) 45.855 * * [simplify]: iters left: 5 (39 enodes) 45.868 * * [simplify]: iters left: 4 (75 enodes) 45.895 * * [simplify]: iters left: 3 (155 enodes) 45.939 * * [simplify]: iters left: 2 (223 enodes) 45.986 * * [simplify]: iters left: 1 (275 enodes) 46.061 * * [simplify]: Extracting #0: cost 1 inf + 0 46.061 * * [simplify]: Extracting #1: cost 34 inf + 0 46.061 * * [simplify]: Extracting #2: cost 56 inf + 128 46.062 * * [simplify]: Extracting #3: cost 42 inf + 1204 46.063 * * [simplify]: Extracting #4: cost 19 inf + 4613 46.065 * * [simplify]: Extracting #5: cost 0 inf + 8215 46.068 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 46.068 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 46.068 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))> 46.068 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 46.068 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 46.068 * [simplify]: Simplifying (* (cos (/ K 2)) J) 46.068 * * [simplify]: iters left: 5 (6 enodes) 46.071 * * [simplify]: iters left: 4 (19 enodes) 46.076 * * [simplify]: Extracting #0: cost 1 inf + 0 46.076 * * [simplify]: Extracting #1: cost 4 inf + 0 46.076 * * [simplify]: Extracting #2: cost 5 inf + 1 46.077 * * [simplify]: Extracting #3: cost 8 inf + 1 46.077 * * [simplify]: Extracting #4: cost 6 inf + 3 46.077 * * [simplify]: Extracting #5: cost 0 inf + 577 46.077 * [simplify]: Simplified to (* (cos (/ K 2)) J) 46.077 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (pow (* (cos (/ K 2)) J) 1))) 46.077 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 46.077 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 46.078 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 46.078 * * [simplify]: iters left: 6 (8 enodes) 46.082 * * [simplify]: iters left: 5 (25 enodes) 46.087 * * [simplify]: Extracting #0: cost 1 inf + 0 46.087 * * [simplify]: Extracting #1: cost 4 inf + 0 46.087 * * [simplify]: Extracting #2: cost 8 inf + 0 46.087 * * [simplify]: Extracting #3: cost 8 inf + 72 46.087 * * [simplify]: Extracting #4: cost 10 inf + 143 46.087 * * [simplify]: Extracting #5: cost 8 inf + 145 46.087 * * [simplify]: Extracting #6: cost 5 inf + 331 46.088 * * [simplify]: Extracting #7: cost 1 inf + 1060 46.088 * * [simplify]: Extracting #8: cost 0 inf + 1343 46.088 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 46.088 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (exp (+ (log J) (log (cos (/ K 2))))))) 46.088 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 46.088 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 46.088 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 46.089 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 46.089 * * [simplify]: iters left: 6 (10 enodes) 46.093 * * [simplify]: iters left: 5 (37 enodes) 46.099 * * [simplify]: iters left: 4 (66 enodes) 46.112 * * [simplify]: iters left: 3 (125 enodes) 46.145 * * [simplify]: iters left: 2 (196 enodes) 46.201 * * [simplify]: iters left: 1 (353 enodes) 46.316 * * [simplify]: Extracting #0: cost 1 inf + 0 46.317 * * [simplify]: Extracting #1: cost 51 inf + 0 46.317 * * [simplify]: Extracting #2: cost 146 inf + 124 46.318 * * [simplify]: Extracting #3: cost 153 inf + 460 46.319 * * [simplify]: Extracting #4: cost 133 inf + 4920 46.323 * * [simplify]: Extracting #5: cost 45 inf + 43385 46.334 * * [simplify]: Extracting #6: cost 4 inf + 66357 46.342 * * [simplify]: Extracting #7: cost 0 inf + 69278 46.355 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 46.355 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 46.355 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 46.355 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 46.355 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 46.356 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 46.356 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 46.356 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.356 * * [simplify]: iters left: 6 (8 enodes) 46.360 * * [simplify]: iters left: 5 (25 enodes) 46.368 * * [simplify]: Extracting #0: cost 1 inf + 0 46.368 * * [simplify]: Extracting #1: cost 4 inf + 0 46.368 * * [simplify]: Extracting #2: cost 8 inf + 0 46.368 * * [simplify]: Extracting #3: cost 8 inf + 42 46.368 * * [simplify]: Extracting #4: cost 10 inf + 83 46.368 * * [simplify]: Extracting #5: cost 8 inf + 85 46.368 * * [simplify]: Extracting #6: cost 5 inf + 271 46.369 * * [simplify]: Extracting #7: cost 1 inf + 880 46.369 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.369 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.369 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J))))) 46.370 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.370 * * [simplify]: iters left: 6 (8 enodes) 46.374 * * [simplify]: iters left: 5 (25 enodes) 46.381 * * [simplify]: Extracting #0: cost 1 inf + 0 46.381 * * [simplify]: Extracting #1: cost 4 inf + 0 46.381 * * [simplify]: Extracting #2: cost 8 inf + 0 46.381 * * [simplify]: Extracting #3: cost 8 inf + 42 46.381 * * [simplify]: Extracting #4: cost 10 inf + 83 46.381 * * [simplify]: Extracting #5: cost 8 inf + 85 46.381 * * [simplify]: Extracting #6: cost 5 inf + 271 46.382 * * [simplify]: Extracting #7: cost 1 inf + 880 46.382 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.382 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.383 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2))))))) 46.383 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 46.383 * [simplify]: Simplifying (cbrt J) 46.383 * * [simplify]: iters left: 1 (2 enodes) 46.384 * * [simplify]: Extracting #0: cost 1 inf + 0 46.384 * * [simplify]: Extracting #1: cost 3 inf + 0 46.384 * * [simplify]: Extracting #2: cost 2 inf + 1 46.384 * * [simplify]: Extracting #3: cost 0 inf + 163 46.384 * [simplify]: Simplified to (cbrt J) 46.384 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 46.384 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 46.385 * [simplify]: Simplifying (sqrt J) 46.385 * * [simplify]: iters left: 1 (2 enodes) 46.385 * * [simplify]: Extracting #0: cost 1 inf + 0 46.385 * * [simplify]: Extracting #1: cost 3 inf + 0 46.386 * * [simplify]: Extracting #2: cost 2 inf + 1 46.386 * * [simplify]: Extracting #3: cost 0 inf + 83 46.386 * [simplify]: Simplified to (sqrt J) 46.386 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (sqrt J)) (sqrt J)))) 46.386 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 46.386 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 46.386 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.386 * * [simplify]: iters left: 6 (6 enodes) 46.389 * * [simplify]: iters left: 5 (18 enodes) 46.395 * * [simplify]: Extracting #0: cost 1 inf + 0 46.395 * * [simplify]: Extracting #1: cost 3 inf + 0 46.395 * * [simplify]: Extracting #2: cost 5 inf + 0 46.395 * * [simplify]: Extracting #3: cost 7 inf + 0 46.395 * * [simplify]: Extracting #4: cost 10 inf + 0 46.395 * * [simplify]: Extracting #5: cost 8 inf + 2 46.395 * * [simplify]: Extracting #6: cost 0 inf + 1098 46.395 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.395 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 46.396 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 46.396 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 46.396 * * [simplify]: iters left: 4 (5 enodes) 46.398 * * [simplify]: iters left: 3 (15 enodes) 46.400 * * [simplify]: Extracting #0: cost 1 inf + 0 46.400 * * [simplify]: Extracting #1: cost 3 inf + 0 46.400 * * [simplify]: Extracting #2: cost 5 inf + 0 46.400 * * [simplify]: Extracting #3: cost 8 inf + 0 46.400 * * [simplify]: Extracting #4: cost 6 inf + 2 46.400 * * [simplify]: Extracting #5: cost 0 inf + 574 46.400 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 46.400 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J)))) 46.401 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 46.401 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 46.401 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 46.401 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 46.401 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 46.401 * * [simplify]: iters left: 6 (10 enodes) 46.404 * * [simplify]: iters left: 5 (43 enodes) 46.412 * * [simplify]: iters left: 4 (79 enodes) 46.425 * * [simplify]: iters left: 3 (118 enodes) 46.457 * * [simplify]: iters left: 2 (171 enodes) 46.490 * * [simplify]: iters left: 1 (242 enodes) 46.550 * * [simplify]: Extracting #0: cost 1 inf + 0 46.550 * * [simplify]: Extracting #1: cost 6 inf + 0 46.550 * * [simplify]: Extracting #2: cost 41 inf + 0 46.551 * * [simplify]: Extracting #3: cost 56 inf + 213 46.552 * * [simplify]: Extracting #4: cost 20 inf + 2732 46.553 * * [simplify]: Extracting #5: cost 1 inf + 4576 46.554 * * [simplify]: Extracting #6: cost 0 inf + 4698 46.556 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 46.556 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 46.556 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 46.556 * [simplify]: Simplifying (* -1 U) 46.556 * * [simplify]: iters left: 2 (3 enodes) 46.557 * * [simplify]: iters left: 1 (11 enodes) 46.559 * * [simplify]: Extracting #0: cost 1 inf + 0 46.559 * * [simplify]: Extracting #1: cost 4 inf + 0 46.559 * * [simplify]: Extracting #2: cost 0 inf + 84 46.559 * [simplify]: Simplified to (- U) 46.559 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.559 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 46.559 * [simplify]: Simplifying (* -1 U) 46.559 * * [simplify]: iters left: 2 (3 enodes) 46.560 * * [simplify]: iters left: 1 (11 enodes) 46.563 * * [simplify]: Extracting #0: cost 1 inf + 0 46.563 * * [simplify]: Extracting #1: cost 4 inf + 0 46.563 * * [simplify]: Extracting #2: cost 0 inf + 84 46.563 * [simplify]: Simplified to (- U) 46.563 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.563 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 46.563 * [simplify]: Simplifying 1 46.563 * * [simplify]: iters left: 0 (1 enodes) 46.564 * * [simplify]: Extracting #0: cost 1 inf + 0 46.564 * * [simplify]: Extracting #1: cost 0 inf + 1 46.564 * [simplify]: Simplified to 1 46.564 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 46.565 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 46.565 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.565 * * [simplify]: iters left: 6 (9 enodes) 46.569 * * [simplify]: iters left: 5 (34 enodes) 46.580 * * [simplify]: iters left: 4 (56 enodes) 46.589 * * [simplify]: iters left: 3 (90 enodes) 46.602 * * [simplify]: iters left: 2 (114 enodes) 46.620 * * [simplify]: iters left: 1 (131 enodes) 46.638 * * [simplify]: Extracting #0: cost 1 inf + 0 46.638 * * [simplify]: Extracting #1: cost 22 inf + 0 46.639 * * [simplify]: Extracting #2: cost 37 inf + 3 46.639 * * [simplify]: Extracting #3: cost 31 inf + 380 46.640 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.642 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.644 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.646 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.646 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.646 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 46.646 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.646 * * [simplify]: iters left: 6 (9 enodes) 46.651 * * [simplify]: iters left: 5 (34 enodes) 46.662 * * [simplify]: iters left: 4 (56 enodes) 46.680 * * [simplify]: iters left: 3 (90 enodes) 46.693 * * [simplify]: iters left: 2 (114 enodes) 46.710 * * [simplify]: iters left: 1 (131 enodes) 46.742 * * [simplify]: Extracting #0: cost 1 inf + 0 46.742 * * [simplify]: Extracting #1: cost 22 inf + 0 46.742 * * [simplify]: Extracting #2: cost 37 inf + 3 46.743 * * [simplify]: Extracting #3: cost 31 inf + 380 46.743 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.744 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.745 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.746 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.746 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.746 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 46.746 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 46.747 * * [simplify]: iters left: 6 (22 enodes) 46.754 * * [simplify]: iters left: 5 (98 enodes) 46.772 * * [simplify]: iters left: 4 (205 enodes) 46.852 * * [simplify]: Extracting #0: cost 1 inf + 0 46.852 * * [simplify]: Extracting #1: cost 8 inf + 0 46.853 * * [simplify]: Extracting #2: cost 99 inf + 0 46.853 * * [simplify]: Extracting #3: cost 194 inf + 251 46.855 * * [simplify]: Extracting #4: cost 104 inf + 10603 46.861 * * [simplify]: Extracting #5: cost 8 inf + 24728 46.868 * * [simplify]: Extracting #6: cost 0 inf + 25715 46.874 * * [simplify]: Extracting #7: cost 0 inf + 25355 46.880 * * [simplify]: Extracting #8: cost 0 inf + 25315 46.887 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 46.887 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (* (cos (/ K 2)) J))) 46.887 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 46.887 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 46.887 * * [simplify]: iters left: 6 (14 enodes) 46.894 * * [simplify]: iters left: 5 (60 enodes) 46.920 * * [simplify]: iters left: 4 (121 enodes) 46.954 * * [simplify]: iters left: 3 (401 enodes) 47.149 * * [simplify]: Extracting #0: cost 1 inf + 0 47.150 * * [simplify]: Extracting #1: cost 135 inf + 0 47.151 * * [simplify]: Extracting #2: cost 287 inf + 168 47.152 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.157 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.170 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.196 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.224 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.252 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.253 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.253 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 47.253 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 47.253 * * [simplify]: iters left: 6 (14 enodes) 47.264 * * [simplify]: iters left: 5 (60 enodes) 47.280 * * [simplify]: iters left: 4 (121 enodes) 47.312 * * [simplify]: iters left: 3 (401 enodes) 47.523 * * [simplify]: Extracting #0: cost 1 inf + 0 47.524 * * [simplify]: Extracting #1: cost 135 inf + 0 47.526 * * [simplify]: Extracting #2: cost 287 inf + 168 47.529 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.537 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.556 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.570 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.589 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.617 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.617 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.617 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 47.618 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 47.618 * * [simplify]: iters left: 6 (8 enodes) 47.625 * * [simplify]: iters left: 5 (35 enodes) 47.637 * * [simplify]: iters left: 4 (67 enodes) 47.660 * * [simplify]: iters left: 3 (133 enodes) 47.691 * * [simplify]: iters left: 2 (207 enodes) 47.740 * * [simplify]: iters left: 1 (230 enodes) 47.772 * * [simplify]: Extracting #0: cost 1 inf + 0 47.772 * * [simplify]: Extracting #1: cost 6 inf + 0 47.772 * * [simplify]: Extracting #2: cost 28 inf + 1 47.773 * * [simplify]: Extracting #3: cost 33 inf + 378 47.774 * * [simplify]: Extracting #4: cost 2 inf + 2884 47.777 * * [simplify]: Extracting #5: cost 0 inf + 3130 47.779 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 47.779 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (- J (* (* K K) (* J 1/8))))) 47.779 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 47.779 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.779 * * [simplify]: iters left: 5 (6 enodes) 47.782 * * [simplify]: iters left: 4 (20 enodes) 47.788 * * [simplify]: Extracting #0: cost 1 inf + 0 47.788 * * [simplify]: Extracting #1: cost 4 inf + 0 47.788 * * [simplify]: Extracting #2: cost 5 inf + 1 47.788 * * [simplify]: Extracting #3: cost 8 inf + 1 47.789 * * [simplify]: Extracting #4: cost 6 inf + 3 47.789 * * [simplify]: Extracting #5: cost 0 inf + 577 47.789 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.789 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.789 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 47.789 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.790 * * [simplify]: iters left: 5 (6 enodes) 47.793 * * [simplify]: iters left: 4 (20 enodes) 47.798 * * [simplify]: Extracting #0: cost 1 inf + 0 47.798 * * [simplify]: Extracting #1: cost 4 inf + 0 47.798 * * [simplify]: Extracting #2: cost 5 inf + 1 47.798 * * [simplify]: Extracting #3: cost 8 inf + 1 47.798 * * [simplify]: Extracting #4: cost 6 inf + 3 47.798 * * [simplify]: Extracting #5: cost 0 inf + 577 47.798 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.798 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.799 * * * [progress]: adding candidates to table 49.951 * * [progress]: iteration 2 / 4 49.951 * * * [progress]: picking best candidate 50.006 * * * * [pick]: Picked # 50.006 * * * [progress]: localizing error 50.091 * * * [progress]: generating rewritten candidates 50.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 50.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 50.641 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 50.642 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 50.646 * * * [progress]: generating series expansions 50.646 * * * * [progress]: [ 1 / 4 ] generating series at (2) 50.647 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 50.647 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 50.647 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 50.647 * [taylor]: Taking taylor expansion of -2 in J 50.647 * [backup-simplify]: Simplify -2 into -2 50.647 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 50.647 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 50.647 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 50.647 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 50.647 * [taylor]: Taking taylor expansion of 1/2 in J 50.647 * [backup-simplify]: Simplify 1/2 into 1/2 50.647 * [taylor]: Taking taylor expansion of K in J 50.648 * [backup-simplify]: Simplify K into K 50.648 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.648 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.648 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.648 * [taylor]: Taking taylor expansion of J in J 50.648 * [backup-simplify]: Simplify 0 into 0 50.648 * [backup-simplify]: Simplify 1 into 1 50.648 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 50.648 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 50.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 50.648 * [taylor]: Taking taylor expansion of 1/4 in J 50.648 * [backup-simplify]: Simplify 1/4 into 1/4 50.648 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 50.648 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.648 * [taylor]: Taking taylor expansion of U in J 50.648 * [backup-simplify]: Simplify U into U 50.648 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 50.648 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 50.648 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 50.648 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 50.648 * [taylor]: Taking taylor expansion of 1/2 in J 50.648 * [backup-simplify]: Simplify 1/2 into 1/2 50.648 * [taylor]: Taking taylor expansion of K in J 50.648 * [backup-simplify]: Simplify K into K 50.648 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.648 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.648 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.649 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.649 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.649 * [backup-simplify]: Simplify (- 0) into 0 50.649 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.650 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.650 * [taylor]: Taking taylor expansion of J in J 50.650 * [backup-simplify]: Simplify 0 into 0 50.650 * [backup-simplify]: Simplify 1 into 1 50.650 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.650 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.650 * [backup-simplify]: Simplify (* 1 1) into 1 50.650 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 50.651 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 50.651 * [taylor]: Taking taylor expansion of 1 in J 50.651 * [backup-simplify]: Simplify 1 into 1 50.651 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 50.651 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 50.651 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 50.651 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.652 * [backup-simplify]: Simplify (+ 0) into 0 50.653 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.655 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.655 * [backup-simplify]: Simplify (- 0) into 0 50.655 * [backup-simplify]: Simplify (+ 0 0) into 0 50.655 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.656 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 50.656 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 50.657 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 50.657 * [backup-simplify]: Simplify (+ 0 0) into 0 50.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 50.658 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 50.658 * [taylor]: Taking taylor expansion of -2 in K 50.658 * [backup-simplify]: Simplify -2 into -2 50.658 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 50.658 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 50.658 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.658 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.658 * [taylor]: Taking taylor expansion of 1/2 in K 50.658 * [backup-simplify]: Simplify 1/2 into 1/2 50.658 * [taylor]: Taking taylor expansion of K in K 50.658 * [backup-simplify]: Simplify 0 into 0 50.658 * [backup-simplify]: Simplify 1 into 1 50.658 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.659 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.659 * [taylor]: Taking taylor expansion of J in K 50.659 * [backup-simplify]: Simplify J into J 50.659 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 50.659 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 50.659 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 50.659 * [taylor]: Taking taylor expansion of 1/4 in K 50.659 * [backup-simplify]: Simplify 1/4 into 1/4 50.659 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 50.659 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.659 * [taylor]: Taking taylor expansion of U in K 50.660 * [backup-simplify]: Simplify U into U 50.660 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 50.660 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 50.660 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.660 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.660 * [taylor]: Taking taylor expansion of 1/2 in K 50.660 * [backup-simplify]: Simplify 1/2 into 1/2 50.660 * [taylor]: Taking taylor expansion of K in K 50.660 * [backup-simplify]: Simplify 0 into 0 50.660 * [backup-simplify]: Simplify 1 into 1 50.660 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.661 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.661 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.661 * [taylor]: Taking taylor expansion of J in K 50.661 * [backup-simplify]: Simplify J into J 50.661 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.661 * [backup-simplify]: Simplify (* 1 1) into 1 50.661 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.662 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 50.662 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 50.662 * [taylor]: Taking taylor expansion of 1 in K 50.662 * [backup-simplify]: Simplify 1 into 1 50.662 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 50.662 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 50.663 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 50.663 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.663 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.663 * [backup-simplify]: Simplify (+ 0) into 0 50.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 50.665 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 50.666 * [backup-simplify]: Simplify (+ 0 0) into 0 50.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 50.666 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 50.666 * [taylor]: Taking taylor expansion of -2 in U 50.666 * [backup-simplify]: Simplify -2 into -2 50.666 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 50.666 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 50.666 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.666 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.666 * [taylor]: Taking taylor expansion of 1/2 in U 50.666 * [backup-simplify]: Simplify 1/2 into 1/2 50.666 * [taylor]: Taking taylor expansion of K in U 50.666 * [backup-simplify]: Simplify K into K 50.666 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.666 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.666 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.666 * [taylor]: Taking taylor expansion of J in U 50.666 * [backup-simplify]: Simplify J into J 50.666 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.666 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.666 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.666 * [taylor]: Taking taylor expansion of 1/4 in U 50.667 * [backup-simplify]: Simplify 1/4 into 1/4 50.667 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.667 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.667 * [taylor]: Taking taylor expansion of U in U 50.667 * [backup-simplify]: Simplify 0 into 0 50.667 * [backup-simplify]: Simplify 1 into 1 50.667 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.667 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.667 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.667 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.667 * [taylor]: Taking taylor expansion of 1/2 in U 50.667 * [backup-simplify]: Simplify 1/2 into 1/2 50.667 * [taylor]: Taking taylor expansion of K in U 50.667 * [backup-simplify]: Simplify K into K 50.667 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.667 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.667 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.667 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.667 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.667 * [backup-simplify]: Simplify (- 0) into 0 50.668 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.668 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.668 * [taylor]: Taking taylor expansion of J in U 50.668 * [backup-simplify]: Simplify J into J 50.668 * [backup-simplify]: Simplify (* 1 1) into 1 50.668 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.668 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.668 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.668 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.668 * [taylor]: Taking taylor expansion of 1 in U 50.668 * [backup-simplify]: Simplify 1 into 1 50.669 * [backup-simplify]: Simplify (+ 0 1) into 1 50.669 * [backup-simplify]: Simplify (sqrt 1) into 1 50.670 * [backup-simplify]: Simplify (+ 0 0) into 0 50.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.670 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 50.670 * [taylor]: Taking taylor expansion of -2 in U 50.670 * [backup-simplify]: Simplify -2 into -2 50.670 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 50.670 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 50.670 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.670 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.670 * [taylor]: Taking taylor expansion of 1/2 in U 50.670 * [backup-simplify]: Simplify 1/2 into 1/2 50.670 * [taylor]: Taking taylor expansion of K in U 50.670 * [backup-simplify]: Simplify K into K 50.670 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.671 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.671 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.671 * [taylor]: Taking taylor expansion of J in U 50.671 * [backup-simplify]: Simplify J into J 50.671 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.671 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.671 * [taylor]: Taking taylor expansion of 1/4 in U 50.671 * [backup-simplify]: Simplify 1/4 into 1/4 50.671 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.671 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.671 * [taylor]: Taking taylor expansion of U in U 50.671 * [backup-simplify]: Simplify 0 into 0 50.671 * [backup-simplify]: Simplify 1 into 1 50.671 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.671 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.671 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.671 * [taylor]: Taking taylor expansion of 1/2 in U 50.671 * [backup-simplify]: Simplify 1/2 into 1/2 50.671 * [taylor]: Taking taylor expansion of K in U 50.671 * [backup-simplify]: Simplify K into K 50.671 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.671 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.671 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.671 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.671 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.672 * [backup-simplify]: Simplify (- 0) into 0 50.672 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.672 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.672 * [taylor]: Taking taylor expansion of J in U 50.672 * [backup-simplify]: Simplify J into J 50.672 * [backup-simplify]: Simplify (* 1 1) into 1 50.672 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.672 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.673 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.673 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.673 * [taylor]: Taking taylor expansion of 1 in U 50.673 * [backup-simplify]: Simplify 1 into 1 50.673 * [backup-simplify]: Simplify (+ 0 1) into 1 50.673 * [backup-simplify]: Simplify (sqrt 1) into 1 50.674 * [backup-simplify]: Simplify (+ 0 0) into 0 50.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.675 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.675 * [backup-simplify]: Simplify (- 0) into 0 50.675 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 50.675 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 50.675 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 50.675 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 50.675 * [taylor]: Taking taylor expansion of -2 in K 50.676 * [backup-simplify]: Simplify -2 into -2 50.676 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 50.676 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.676 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.676 * [taylor]: Taking taylor expansion of 1/2 in K 50.676 * [backup-simplify]: Simplify 1/2 into 1/2 50.676 * [taylor]: Taking taylor expansion of K in K 50.676 * [backup-simplify]: Simplify 0 into 0 50.676 * [backup-simplify]: Simplify 1 into 1 50.676 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.677 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.677 * [taylor]: Taking taylor expansion of J in K 50.677 * [backup-simplify]: Simplify J into J 50.677 * [backup-simplify]: Simplify (* 1 J) into J 50.677 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 50.677 * [taylor]: Taking taylor expansion of (* -2 J) in J 50.677 * [taylor]: Taking taylor expansion of -2 in J 50.677 * [backup-simplify]: Simplify -2 into -2 50.677 * [taylor]: Taking taylor expansion of J in J 50.677 * [backup-simplify]: Simplify 0 into 0 50.677 * [backup-simplify]: Simplify 1 into 1 50.677 * [backup-simplify]: Simplify (+ 0) into 0 50.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.679 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.680 * [backup-simplify]: Simplify (- 0) into 0 50.680 * [backup-simplify]: Simplify (+ 0 0) into 0 50.680 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 50.681 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 50.681 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 50.681 * [taylor]: Taking taylor expansion of 0 in K 50.681 * [backup-simplify]: Simplify 0 into 0 50.681 * [taylor]: Taking taylor expansion of 0 in J 50.681 * [backup-simplify]: Simplify 0 into 0 50.682 * [backup-simplify]: Simplify (+ 0) into 0 50.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 50.682 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 50.682 * [taylor]: Taking taylor expansion of 0 in J 50.682 * [backup-simplify]: Simplify 0 into 0 50.683 * [backup-simplify]: Simplify (* -2 0) into 0 50.683 * [backup-simplify]: Simplify 0 into 0 50.683 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.683 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 50.685 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.686 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 50.687 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.688 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.689 * [backup-simplify]: Simplify (- 0) into 0 50.689 * [backup-simplify]: Simplify (+ 0 0) into 0 50.689 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 50.690 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 50.691 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 50.691 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 50.691 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 50.691 * [taylor]: Taking taylor expansion of 1/4 in K 50.691 * [backup-simplify]: Simplify 1/4 into 1/4 50.691 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 50.691 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 50.691 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.691 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.691 * [taylor]: Taking taylor expansion of 1/2 in K 50.691 * [backup-simplify]: Simplify 1/2 into 1/2 50.691 * [taylor]: Taking taylor expansion of K in K 50.691 * [backup-simplify]: Simplify 0 into 0 50.691 * [backup-simplify]: Simplify 1 into 1 50.692 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.692 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.692 * [taylor]: Taking taylor expansion of J in K 50.692 * [backup-simplify]: Simplify J into J 50.693 * [backup-simplify]: Simplify (* 1 J) into J 50.693 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 50.693 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 50.693 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 50.693 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 50.693 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 50.693 * [taylor]: Taking taylor expansion of 1/4 in J 50.693 * [backup-simplify]: Simplify 1/4 into 1/4 50.693 * [taylor]: Taking taylor expansion of (/ 1 J) in J 50.693 * [taylor]: Taking taylor expansion of J in J 50.693 * [backup-simplify]: Simplify 0 into 0 50.693 * [backup-simplify]: Simplify 1 into 1 50.693 * [backup-simplify]: Simplify (/ 1 1) into 1 50.694 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 50.694 * [backup-simplify]: Simplify (- 1/4) into -1/4 50.694 * [backup-simplify]: Simplify -1/4 into -1/4 50.694 * [taylor]: Taking taylor expansion of 0 in J 50.694 * [backup-simplify]: Simplify 0 into 0 50.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 50.697 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 50.697 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 50.697 * [taylor]: Taking taylor expansion of 1/4 in J 50.697 * [backup-simplify]: Simplify 1/4 into 1/4 50.697 * [taylor]: Taking taylor expansion of J in J 50.697 * [backup-simplify]: Simplify 0 into 0 50.697 * [backup-simplify]: Simplify 1 into 1 50.697 * [backup-simplify]: Simplify 0 into 0 50.697 * [backup-simplify]: Simplify 0 into 0 50.698 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 50.698 * [backup-simplify]: Simplify -2 into -2 50.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.698 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.699 * [backup-simplify]: Simplify (+ 0) into 0 50.699 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.701 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.702 * [backup-simplify]: Simplify (- 0) into 0 50.702 * [backup-simplify]: Simplify (+ 0 0) into 0 50.702 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.702 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 50.703 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 50.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 50.704 * [backup-simplify]: Simplify (+ 0 0) into 0 50.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 50.705 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.706 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 50.709 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.710 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.710 * [backup-simplify]: Simplify (- 0) into 0 50.710 * [backup-simplify]: Simplify (+ 0 0) into 0 50.711 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.712 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 50.713 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 50.713 * [taylor]: Taking taylor expansion of 0 in K 50.713 * [backup-simplify]: Simplify 0 into 0 50.713 * [taylor]: Taking taylor expansion of 0 in J 50.713 * [backup-simplify]: Simplify 0 into 0 50.714 * [backup-simplify]: Simplify (+ 0) into 0 50.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 50.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 50.715 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 50.715 * [backup-simplify]: Simplify (- 0) into 0 50.715 * [taylor]: Taking taylor expansion of 0 in J 50.715 * [backup-simplify]: Simplify 0 into 0 50.715 * [taylor]: Taking taylor expansion of 0 in J 50.715 * [backup-simplify]: Simplify 0 into 0 50.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 50.717 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 50.719 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 50.719 * [taylor]: Taking taylor expansion of 0 in J 50.719 * [backup-simplify]: Simplify 0 into 0 50.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 50.720 * [backup-simplify]: Simplify (- 0) into 0 50.720 * [backup-simplify]: Simplify 0 into 0 50.720 * [backup-simplify]: Simplify 0 into 0 50.720 * [backup-simplify]: Simplify (* 1/4 0) into 0 50.720 * [backup-simplify]: Simplify 0 into 0 50.720 * [backup-simplify]: Simplify 0 into 0 50.720 * [backup-simplify]: Simplify 0 into 0 50.721 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 50.721 * [backup-simplify]: Simplify 0 into 0 50.721 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 50.722 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 50.722 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 50.722 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 50.722 * [taylor]: Taking taylor expansion of -2 in J 50.722 * [backup-simplify]: Simplify -2 into -2 50.722 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 50.722 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 50.722 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 50.722 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 50.722 * [taylor]: Taking taylor expansion of 1/4 in J 50.722 * [backup-simplify]: Simplify 1/4 into 1/4 50.722 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 50.722 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.722 * [taylor]: Taking taylor expansion of J in J 50.722 * [backup-simplify]: Simplify 0 into 0 50.722 * [backup-simplify]: Simplify 1 into 1 50.722 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 50.722 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.722 * [taylor]: Taking taylor expansion of U in J 50.722 * [backup-simplify]: Simplify U into U 50.722 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 50.722 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.722 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.722 * [taylor]: Taking taylor expansion of 1/2 in J 50.722 * [backup-simplify]: Simplify 1/2 into 1/2 50.722 * [taylor]: Taking taylor expansion of K in J 50.722 * [backup-simplify]: Simplify K into K 50.722 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.722 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.722 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.722 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.723 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.723 * [backup-simplify]: Simplify (- 0) into 0 50.723 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.723 * [backup-simplify]: Simplify (* 1 1) into 1 50.723 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.723 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.723 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.723 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 50.723 * [taylor]: Taking taylor expansion of 1 in J 50.723 * [backup-simplify]: Simplify 1 into 1 50.724 * [backup-simplify]: Simplify (+ 0 1) into 1 50.724 * [backup-simplify]: Simplify (sqrt 1) into 1 50.724 * [backup-simplify]: Simplify (+ 0 0) into 0 50.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.725 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 50.725 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.725 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.725 * [taylor]: Taking taylor expansion of 1/2 in J 50.725 * [backup-simplify]: Simplify 1/2 into 1/2 50.725 * [taylor]: Taking taylor expansion of K in J 50.725 * [backup-simplify]: Simplify K into K 50.725 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.725 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.725 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.725 * [taylor]: Taking taylor expansion of J in J 50.725 * [backup-simplify]: Simplify 0 into 0 50.725 * [backup-simplify]: Simplify 1 into 1 50.725 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.725 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.725 * [backup-simplify]: Simplify (- 0) into 0 50.725 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.725 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.725 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 50.725 * [taylor]: Taking taylor expansion of -2 in K 50.725 * [backup-simplify]: Simplify -2 into -2 50.725 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 50.726 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 50.726 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 50.726 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 50.726 * [taylor]: Taking taylor expansion of 1/4 in K 50.726 * [backup-simplify]: Simplify 1/4 into 1/4 50.726 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 50.726 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.726 * [taylor]: Taking taylor expansion of J in K 50.726 * [backup-simplify]: Simplify J into J 50.726 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 50.726 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.726 * [taylor]: Taking taylor expansion of U in K 50.726 * [backup-simplify]: Simplify U into U 50.726 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 50.726 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.726 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.726 * [taylor]: Taking taylor expansion of 1/2 in K 50.726 * [backup-simplify]: Simplify 1/2 into 1/2 50.726 * [taylor]: Taking taylor expansion of K in K 50.726 * [backup-simplify]: Simplify 0 into 0 50.726 * [backup-simplify]: Simplify 1 into 1 50.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.726 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.726 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.726 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.726 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.726 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.727 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 50.727 * [taylor]: Taking taylor expansion of 1 in K 50.727 * [backup-simplify]: Simplify 1 into 1 50.727 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 50.727 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 50.727 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 50.727 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.727 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.727 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.727 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.728 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.729 * [backup-simplify]: Simplify (+ 0 0) into 0 50.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 50.729 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 50.729 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.729 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.729 * [taylor]: Taking taylor expansion of 1/2 in K 50.729 * [backup-simplify]: Simplify 1/2 into 1/2 50.729 * [taylor]: Taking taylor expansion of K in K 50.729 * [backup-simplify]: Simplify 0 into 0 50.729 * [backup-simplify]: Simplify 1 into 1 50.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.729 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.729 * [taylor]: Taking taylor expansion of J in K 50.729 * [backup-simplify]: Simplify J into J 50.729 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.729 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 50.729 * [taylor]: Taking taylor expansion of -2 in U 50.729 * [backup-simplify]: Simplify -2 into -2 50.729 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 50.729 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.730 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.730 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.730 * [taylor]: Taking taylor expansion of 1/4 in U 50.730 * [backup-simplify]: Simplify 1/4 into 1/4 50.730 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.730 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.730 * [taylor]: Taking taylor expansion of J in U 50.730 * [backup-simplify]: Simplify J into J 50.730 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.730 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.730 * [taylor]: Taking taylor expansion of U in U 50.730 * [backup-simplify]: Simplify 0 into 0 50.730 * [backup-simplify]: Simplify 1 into 1 50.730 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.730 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.730 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.730 * [taylor]: Taking taylor expansion of 1/2 in U 50.730 * [backup-simplify]: Simplify 1/2 into 1/2 50.730 * [taylor]: Taking taylor expansion of K in U 50.730 * [backup-simplify]: Simplify K into K 50.730 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.730 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.730 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.730 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.730 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.730 * [backup-simplify]: Simplify (- 0) into 0 50.730 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.730 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.731 * [backup-simplify]: Simplify (* 1 1) into 1 50.731 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.731 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.731 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.731 * [taylor]: Taking taylor expansion of 1 in U 50.731 * [backup-simplify]: Simplify 1 into 1 50.731 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.731 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.731 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.731 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.732 * [backup-simplify]: Simplify (+ 0) into 0 50.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.733 * [backup-simplify]: Simplify (- 0) into 0 50.733 * [backup-simplify]: Simplify (+ 0 0) into 0 50.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.734 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.735 * [backup-simplify]: Simplify (+ 0 0) into 0 50.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.735 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 50.735 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.735 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.735 * [taylor]: Taking taylor expansion of 1/2 in U 50.735 * [backup-simplify]: Simplify 1/2 into 1/2 50.735 * [taylor]: Taking taylor expansion of K in U 50.735 * [backup-simplify]: Simplify K into K 50.735 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.735 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.735 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.735 * [taylor]: Taking taylor expansion of J in U 50.735 * [backup-simplify]: Simplify J into J 50.735 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.736 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.736 * [backup-simplify]: Simplify (- 0) into 0 50.736 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.736 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.736 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 50.736 * [taylor]: Taking taylor expansion of -2 in U 50.736 * [backup-simplify]: Simplify -2 into -2 50.736 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 50.736 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.736 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.736 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.736 * [taylor]: Taking taylor expansion of 1/4 in U 50.736 * [backup-simplify]: Simplify 1/4 into 1/4 50.736 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.736 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.736 * [taylor]: Taking taylor expansion of J in U 50.736 * [backup-simplify]: Simplify J into J 50.736 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.736 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.736 * [taylor]: Taking taylor expansion of U in U 50.736 * [backup-simplify]: Simplify 0 into 0 50.736 * [backup-simplify]: Simplify 1 into 1 50.736 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.736 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.736 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.736 * [taylor]: Taking taylor expansion of 1/2 in U 50.736 * [backup-simplify]: Simplify 1/2 into 1/2 50.736 * [taylor]: Taking taylor expansion of K in U 50.736 * [backup-simplify]: Simplify K into K 50.736 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.736 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.736 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.736 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.737 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.737 * [backup-simplify]: Simplify (- 0) into 0 50.737 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.737 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.737 * [backup-simplify]: Simplify (* 1 1) into 1 50.737 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.737 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.737 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.737 * [taylor]: Taking taylor expansion of 1 in U 50.737 * [backup-simplify]: Simplify 1 into 1 50.738 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.738 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.738 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.738 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.738 * [backup-simplify]: Simplify (+ 0) into 0 50.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.739 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.740 * [backup-simplify]: Simplify (- 0) into 0 50.740 * [backup-simplify]: Simplify (+ 0 0) into 0 50.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.741 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.741 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.741 * [backup-simplify]: Simplify (+ 0 0) into 0 50.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.742 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 50.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.742 * [taylor]: Taking taylor expansion of 1/2 in U 50.742 * [backup-simplify]: Simplify 1/2 into 1/2 50.742 * [taylor]: Taking taylor expansion of K in U 50.742 * [backup-simplify]: Simplify K into K 50.742 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.742 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.742 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.742 * [taylor]: Taking taylor expansion of J in U 50.742 * [backup-simplify]: Simplify J into J 50.742 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.742 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.742 * [backup-simplify]: Simplify (- 0) into 0 50.742 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.742 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.743 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 50.743 * [backup-simplify]: Simplify (* -2 1/2) into -1 50.743 * [taylor]: Taking taylor expansion of -1 in K 50.743 * [backup-simplify]: Simplify -1 into -1 50.743 * [taylor]: Taking taylor expansion of -1 in J 50.743 * [backup-simplify]: Simplify -1 into -1 50.743 * [backup-simplify]: Simplify (+ 0) into 0 50.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.744 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.745 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.745 * [backup-simplify]: Simplify (- 0) into 0 50.745 * [backup-simplify]: Simplify (+ 0 0) into 0 50.745 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 50.745 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 50.746 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 50.746 * [taylor]: Taking taylor expansion of 0 in K 50.746 * [backup-simplify]: Simplify 0 into 0 50.746 * [taylor]: Taking taylor expansion of 0 in J 50.746 * [backup-simplify]: Simplify 0 into 0 50.746 * [taylor]: Taking taylor expansion of 0 in J 50.746 * [backup-simplify]: Simplify 0 into 0 50.746 * [backup-simplify]: Simplify -1 into -1 50.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.751 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.753 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.754 * [backup-simplify]: Simplify (- 0) into 0 50.754 * [backup-simplify]: Simplify (+ 0 0) into 0 50.754 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.755 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.756 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.757 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.758 * [backup-simplify]: Simplify (- 0) into 0 50.759 * [backup-simplify]: Simplify (+ 0 0) into 0 50.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.761 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.763 * [backup-simplify]: Simplify (+ 0 1) into 1 50.764 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 50.765 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 50.765 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 50.766 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 50.766 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 50.766 * [taylor]: Taking taylor expansion of 2 in K 50.766 * [backup-simplify]: Simplify 2 into 2 50.766 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 50.766 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 50.766 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.766 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.766 * [taylor]: Taking taylor expansion of 1/2 in K 50.766 * [backup-simplify]: Simplify 1/2 into 1/2 50.766 * [taylor]: Taking taylor expansion of K in K 50.766 * [backup-simplify]: Simplify 0 into 0 50.766 * [backup-simplify]: Simplify 1 into 1 50.766 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.766 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.766 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.766 * [taylor]: Taking taylor expansion of J in K 50.766 * [backup-simplify]: Simplify J into J 50.767 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.767 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.767 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 50.767 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 50.767 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 50.767 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 50.768 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 50.768 * [taylor]: Taking taylor expansion of 2 in J 50.768 * [backup-simplify]: Simplify 2 into 2 50.768 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 50.768 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 50.768 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.768 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.768 * [taylor]: Taking taylor expansion of 1/2 in J 50.768 * [backup-simplify]: Simplify 1/2 into 1/2 50.768 * [taylor]: Taking taylor expansion of K in J 50.768 * [backup-simplify]: Simplify K into K 50.768 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.768 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.768 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.768 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.768 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.769 * [backup-simplify]: Simplify (- 0) into 0 50.769 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.769 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.769 * [taylor]: Taking taylor expansion of J in J 50.769 * [backup-simplify]: Simplify 0 into 0 50.769 * [backup-simplify]: Simplify 1 into 1 50.769 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.769 * [backup-simplify]: Simplify (* 1 1) into 1 50.769 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 50.770 * [backup-simplify]: Simplify (+ 0) into 0 50.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.771 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.771 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.772 * [backup-simplify]: Simplify (- 0) into 0 50.772 * [backup-simplify]: Simplify (+ 0 0) into 0 50.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 50.775 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.775 * [backup-simplify]: Simplify (- 0) into 0 50.775 * [backup-simplify]: Simplify 0 into 0 50.775 * [taylor]: Taking taylor expansion of 0 in J 50.775 * [backup-simplify]: Simplify 0 into 0 50.775 * [taylor]: Taking taylor expansion of 0 in J 50.775 * [backup-simplify]: Simplify 0 into 0 50.775 * [backup-simplify]: Simplify 0 into 0 50.775 * [backup-simplify]: Simplify 0 into 0 50.775 * [backup-simplify]: Simplify 0 into 0 50.776 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.779 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.780 * [backup-simplify]: Simplify (- 0) into 0 50.780 * [backup-simplify]: Simplify (+ 0 0) into 0 50.780 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.781 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.782 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.783 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.785 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.785 * [backup-simplify]: Simplify (- 0) into 0 50.785 * [backup-simplify]: Simplify (+ 0 0) into 0 50.786 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 50.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.789 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.790 * [backup-simplify]: Simplify (+ 0 0) into 0 50.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 50.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 50.792 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 50.792 * [taylor]: Taking taylor expansion of 0 in K 50.792 * [backup-simplify]: Simplify 0 into 0 50.792 * [taylor]: Taking taylor expansion of 0 in J 50.792 * [backup-simplify]: Simplify 0 into 0 50.792 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.792 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.793 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.793 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 50.794 * [backup-simplify]: Simplify (- 0) into 0 50.794 * [taylor]: Taking taylor expansion of 0 in J 50.794 * [backup-simplify]: Simplify 0 into 0 50.794 * [taylor]: Taking taylor expansion of 0 in J 50.794 * [backup-simplify]: Simplify 0 into 0 50.794 * [taylor]: Taking taylor expansion of 0 in J 50.794 * [backup-simplify]: Simplify 0 into 0 50.795 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.796 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.797 * [backup-simplify]: Simplify (- 0) into 0 50.797 * [backup-simplify]: Simplify (+ 0 0) into 0 50.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.801 * [backup-simplify]: Simplify (- 0) into 0 50.801 * [backup-simplify]: Simplify 0 into 0 50.801 * [backup-simplify]: Simplify 0 into 0 50.801 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 50.802 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 50.802 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 50.802 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 50.802 * [taylor]: Taking taylor expansion of 2 in J 50.802 * [backup-simplify]: Simplify 2 into 2 50.802 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 50.802 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 50.802 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.802 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.802 * [taylor]: Taking taylor expansion of -1/2 in J 50.802 * [backup-simplify]: Simplify -1/2 into -1/2 50.802 * [taylor]: Taking taylor expansion of K in J 50.802 * [backup-simplify]: Simplify K into K 50.802 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.802 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.803 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.803 * [taylor]: Taking taylor expansion of J in J 50.803 * [backup-simplify]: Simplify 0 into 0 50.803 * [backup-simplify]: Simplify 1 into 1 50.803 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.803 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.803 * [backup-simplify]: Simplify (- 0) into 0 50.803 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.803 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.803 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 50.803 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 50.803 * [taylor]: Taking taylor expansion of 1 in J 50.803 * [backup-simplify]: Simplify 1 into 1 50.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 50.803 * [taylor]: Taking taylor expansion of 1/4 in J 50.803 * [backup-simplify]: Simplify 1/4 into 1/4 50.803 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 50.804 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.804 * [taylor]: Taking taylor expansion of J in J 50.804 * [backup-simplify]: Simplify 0 into 0 50.804 * [backup-simplify]: Simplify 1 into 1 50.804 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 50.804 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.804 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.804 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.804 * [taylor]: Taking taylor expansion of -1/2 in J 50.804 * [backup-simplify]: Simplify -1/2 into -1/2 50.804 * [taylor]: Taking taylor expansion of K in J 50.804 * [backup-simplify]: Simplify K into K 50.804 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.804 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.804 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.804 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.804 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.804 * [backup-simplify]: Simplify (- 0) into 0 50.805 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.805 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.805 * [taylor]: Taking taylor expansion of U in J 50.805 * [backup-simplify]: Simplify U into U 50.805 * [backup-simplify]: Simplify (* 1 1) into 1 50.805 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.805 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.805 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.806 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.806 * [backup-simplify]: Simplify (+ 1 0) into 1 50.806 * [backup-simplify]: Simplify (sqrt 1) into 1 50.807 * [backup-simplify]: Simplify (+ 0 0) into 0 50.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.807 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 50.807 * [taylor]: Taking taylor expansion of 2 in K 50.807 * [backup-simplify]: Simplify 2 into 2 50.807 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 50.807 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 50.807 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.807 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.807 * [taylor]: Taking taylor expansion of -1/2 in K 50.807 * [backup-simplify]: Simplify -1/2 into -1/2 50.807 * [taylor]: Taking taylor expansion of K in K 50.807 * [backup-simplify]: Simplify 0 into 0 50.807 * [backup-simplify]: Simplify 1 into 1 50.808 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.808 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.808 * [taylor]: Taking taylor expansion of J in K 50.808 * [backup-simplify]: Simplify J into J 50.808 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.808 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 50.808 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 50.808 * [taylor]: Taking taylor expansion of 1 in K 50.808 * [backup-simplify]: Simplify 1 into 1 50.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 50.808 * [taylor]: Taking taylor expansion of 1/4 in K 50.808 * [backup-simplify]: Simplify 1/4 into 1/4 50.809 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 50.809 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.809 * [taylor]: Taking taylor expansion of J in K 50.809 * [backup-simplify]: Simplify J into J 50.809 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 50.809 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.809 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.809 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.809 * [taylor]: Taking taylor expansion of -1/2 in K 50.809 * [backup-simplify]: Simplify -1/2 into -1/2 50.809 * [taylor]: Taking taylor expansion of K in K 50.809 * [backup-simplify]: Simplify 0 into 0 50.809 * [backup-simplify]: Simplify 1 into 1 50.809 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.809 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.809 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.809 * [taylor]: Taking taylor expansion of U in K 50.809 * [backup-simplify]: Simplify U into U 50.809 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.810 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.810 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.810 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.810 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.810 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 50.811 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 50.811 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 50.811 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.811 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.811 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 50.812 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 50.813 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 50.813 * [backup-simplify]: Simplify (+ 0 0) into 0 50.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 50.813 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 50.813 * [taylor]: Taking taylor expansion of 2 in U 50.813 * [backup-simplify]: Simplify 2 into 2 50.813 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 50.814 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 50.814 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.814 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.814 * [taylor]: Taking taylor expansion of -1/2 in U 50.814 * [backup-simplify]: Simplify -1/2 into -1/2 50.814 * [taylor]: Taking taylor expansion of K in U 50.814 * [backup-simplify]: Simplify K into K 50.814 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.814 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.814 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.814 * [taylor]: Taking taylor expansion of J in U 50.814 * [backup-simplify]: Simplify J into J 50.814 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.814 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.814 * [backup-simplify]: Simplify (- 0) into 0 50.814 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.815 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.815 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.815 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.815 * [taylor]: Taking taylor expansion of 1 in U 50.815 * [backup-simplify]: Simplify 1 into 1 50.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.815 * [taylor]: Taking taylor expansion of 1/4 in U 50.815 * [backup-simplify]: Simplify 1/4 into 1/4 50.815 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.815 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.815 * [taylor]: Taking taylor expansion of J in U 50.815 * [backup-simplify]: Simplify J into J 50.815 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.815 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.815 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.815 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.815 * [taylor]: Taking taylor expansion of -1/2 in U 50.815 * [backup-simplify]: Simplify -1/2 into -1/2 50.815 * [taylor]: Taking taylor expansion of K in U 50.815 * [backup-simplify]: Simplify K into K 50.815 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.815 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.815 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.815 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.815 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.816 * [backup-simplify]: Simplify (- 0) into 0 50.816 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.816 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.816 * [taylor]: Taking taylor expansion of U in U 50.816 * [backup-simplify]: Simplify 0 into 0 50.816 * [backup-simplify]: Simplify 1 into 1 50.816 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.816 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.816 * [backup-simplify]: Simplify (* 1 1) into 1 50.816 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.817 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.817 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.817 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.817 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.817 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.818 * [backup-simplify]: Simplify (+ 0) into 0 50.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.820 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.820 * [backup-simplify]: Simplify (- 0) into 0 50.821 * [backup-simplify]: Simplify (+ 0 0) into 0 50.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.821 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.822 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.822 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.822 * [backup-simplify]: Simplify (+ 0 0) into 0 50.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.823 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 50.823 * [taylor]: Taking taylor expansion of 2 in U 50.823 * [backup-simplify]: Simplify 2 into 2 50.823 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 50.823 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 50.823 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.823 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.823 * [taylor]: Taking taylor expansion of -1/2 in U 50.823 * [backup-simplify]: Simplify -1/2 into -1/2 50.823 * [taylor]: Taking taylor expansion of K in U 50.823 * [backup-simplify]: Simplify K into K 50.823 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.823 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.823 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.823 * [taylor]: Taking taylor expansion of J in U 50.823 * [backup-simplify]: Simplify J into J 50.823 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.823 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.824 * [backup-simplify]: Simplify (- 0) into 0 50.824 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.824 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.824 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.824 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.824 * [taylor]: Taking taylor expansion of 1 in U 50.824 * [backup-simplify]: Simplify 1 into 1 50.824 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.824 * [taylor]: Taking taylor expansion of 1/4 in U 50.824 * [backup-simplify]: Simplify 1/4 into 1/4 50.824 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.824 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.824 * [taylor]: Taking taylor expansion of J in U 50.824 * [backup-simplify]: Simplify J into J 50.824 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.824 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.824 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.824 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.824 * [taylor]: Taking taylor expansion of -1/2 in U 50.824 * [backup-simplify]: Simplify -1/2 into -1/2 50.824 * [taylor]: Taking taylor expansion of K in U 50.824 * [backup-simplify]: Simplify K into K 50.824 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.824 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.825 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.825 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.825 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.825 * [backup-simplify]: Simplify (- 0) into 0 50.825 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.825 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.825 * [taylor]: Taking taylor expansion of U in U 50.825 * [backup-simplify]: Simplify 0 into 0 50.825 * [backup-simplify]: Simplify 1 into 1 50.825 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.825 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.826 * [backup-simplify]: Simplify (* 1 1) into 1 50.826 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.826 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.826 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.826 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.827 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.827 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.828 * [backup-simplify]: Simplify (+ 0) into 0 50.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.828 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.829 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.830 * [backup-simplify]: Simplify (- 0) into 0 50.830 * [backup-simplify]: Simplify (+ 0 0) into 0 50.830 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.831 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.831 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.832 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.832 * [backup-simplify]: Simplify (+ 0 0) into 0 50.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.832 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 50.833 * [backup-simplify]: Simplify (* 2 1/2) into 1 50.833 * [taylor]: Taking taylor expansion of 1 in K 50.833 * [backup-simplify]: Simplify 1 into 1 50.833 * [taylor]: Taking taylor expansion of 1 in J 50.833 * [backup-simplify]: Simplify 1 into 1 50.833 * [backup-simplify]: Simplify (+ 0) into 0 50.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.835 * [backup-simplify]: Simplify (- 0) into 0 50.836 * [backup-simplify]: Simplify (+ 0 0) into 0 50.836 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 50.836 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 50.837 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 50.837 * [taylor]: Taking taylor expansion of 0 in K 50.837 * [backup-simplify]: Simplify 0 into 0 50.837 * [taylor]: Taking taylor expansion of 0 in J 50.837 * [backup-simplify]: Simplify 0 into 0 50.837 * [taylor]: Taking taylor expansion of 0 in J 50.837 * [backup-simplify]: Simplify 0 into 0 50.837 * [backup-simplify]: Simplify 1 into 1 50.837 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.840 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.840 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.841 * [backup-simplify]: Simplify (- 0) into 0 50.842 * [backup-simplify]: Simplify (+ 0 0) into 0 50.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.843 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 50.843 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.844 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 50.844 * [backup-simplify]: Simplify (+ 1 0) into 1 50.845 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 50.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.847 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.847 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.848 * [backup-simplify]: Simplify (- 0) into 0 50.849 * [backup-simplify]: Simplify (+ 0 0) into 0 50.849 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.849 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 50.850 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 50.850 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 50.850 * [taylor]: Taking taylor expansion of 2 in K 50.850 * [backup-simplify]: Simplify 2 into 2 50.850 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 50.850 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.850 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.850 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.850 * [taylor]: Taking taylor expansion of -1/2 in K 50.850 * [backup-simplify]: Simplify -1/2 into -1/2 50.850 * [taylor]: Taking taylor expansion of K in K 50.850 * [backup-simplify]: Simplify 0 into 0 50.850 * [backup-simplify]: Simplify 1 into 1 50.851 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.851 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.851 * [taylor]: Taking taylor expansion of J in K 50.851 * [backup-simplify]: Simplify J into J 50.851 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.851 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.851 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 50.851 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 50.852 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 50.852 * [taylor]: Taking taylor expansion of 2 in J 50.852 * [backup-simplify]: Simplify 2 into 2 50.852 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 50.852 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.852 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.852 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.852 * [taylor]: Taking taylor expansion of -1/2 in J 50.852 * [backup-simplify]: Simplify -1/2 into -1/2 50.852 * [taylor]: Taking taylor expansion of K in J 50.852 * [backup-simplify]: Simplify K into K 50.852 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.852 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.852 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.852 * [backup-simplify]: Simplify (- 0) into 0 50.852 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.853 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.853 * [taylor]: Taking taylor expansion of J in J 50.853 * [backup-simplify]: Simplify 0 into 0 50.853 * [backup-simplify]: Simplify 1 into 1 50.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.853 * [backup-simplify]: Simplify (* 1 1) into 1 50.853 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.854 * [backup-simplify]: Simplify (+ 0) into 0 50.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.856 * [backup-simplify]: Simplify (- 0) into 0 50.856 * [backup-simplify]: Simplify (+ 0 0) into 0 50.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 50.858 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 50.858 * [backup-simplify]: Simplify 0 into 0 50.858 * [taylor]: Taking taylor expansion of 0 in J 50.858 * [backup-simplify]: Simplify 0 into 0 50.858 * [taylor]: Taking taylor expansion of 0 in J 50.858 * [backup-simplify]: Simplify 0 into 0 50.858 * [backup-simplify]: Simplify 0 into 0 50.858 * [backup-simplify]: Simplify 0 into 0 50.859 * [backup-simplify]: Simplify 0 into 0 50.860 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.865 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.865 * [backup-simplify]: Simplify (- 0) into 0 50.865 * [backup-simplify]: Simplify (+ 0 0) into 0 50.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 50.867 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.869 * [backup-simplify]: Simplify (+ 0 0) into 0 50.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 50.870 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.870 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.873 * [backup-simplify]: Simplify (- 0) into 0 50.873 * [backup-simplify]: Simplify (+ 0 0) into 0 50.874 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.874 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 50.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 50.875 * [taylor]: Taking taylor expansion of 0 in K 50.875 * [backup-simplify]: Simplify 0 into 0 50.875 * [taylor]: Taking taylor expansion of 0 in J 50.875 * [backup-simplify]: Simplify 0 into 0 50.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.876 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.876 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.876 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 50.876 * [taylor]: Taking taylor expansion of 0 in J 50.876 * [backup-simplify]: Simplify 0 into 0 50.877 * [taylor]: Taking taylor expansion of 0 in J 50.877 * [backup-simplify]: Simplify 0 into 0 50.877 * [taylor]: Taking taylor expansion of 0 in J 50.877 * [backup-simplify]: Simplify 0 into 0 50.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.880 * [backup-simplify]: Simplify (- 0) into 0 50.880 * [backup-simplify]: Simplify (+ 0 0) into 0 50.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 50.889 * [backup-simplify]: Simplify 0 into 0 50.889 * [backup-simplify]: Simplify 0 into 0 50.889 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 50.889 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 50.890 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 50.890 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 50.890 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 50.890 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 50.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 50.890 * [taylor]: Taking taylor expansion of 1/4 in J 50.890 * [backup-simplify]: Simplify 1/4 into 1/4 50.890 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 50.890 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.890 * [taylor]: Taking taylor expansion of U in J 50.890 * [backup-simplify]: Simplify U into U 50.890 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 50.890 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 50.890 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 50.890 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 50.890 * [taylor]: Taking taylor expansion of 1/2 in J 50.890 * [backup-simplify]: Simplify 1/2 into 1/2 50.890 * [taylor]: Taking taylor expansion of K in J 50.890 * [backup-simplify]: Simplify K into K 50.890 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.890 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.890 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.891 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.891 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.891 * [backup-simplify]: Simplify (- 0) into 0 50.891 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.891 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.891 * [taylor]: Taking taylor expansion of J in J 50.891 * [backup-simplify]: Simplify 0 into 0 50.891 * [backup-simplify]: Simplify 1 into 1 50.891 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.891 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.892 * [backup-simplify]: Simplify (* 1 1) into 1 50.892 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 50.892 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 50.892 * [taylor]: Taking taylor expansion of 1 in J 50.892 * [backup-simplify]: Simplify 1 into 1 50.892 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 50.893 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 50.893 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 50.893 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.894 * [backup-simplify]: Simplify (+ 0) into 0 50.895 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.896 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.897 * [backup-simplify]: Simplify (- 0) into 0 50.897 * [backup-simplify]: Simplify (+ 0 0) into 0 50.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.898 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 50.898 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 50.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 50.899 * [backup-simplify]: Simplify (+ 0 0) into 0 50.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 50.899 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 50.899 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 50.899 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 50.899 * [taylor]: Taking taylor expansion of 1/4 in K 50.899 * [backup-simplify]: Simplify 1/4 into 1/4 50.899 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 50.899 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.899 * [taylor]: Taking taylor expansion of U in K 50.899 * [backup-simplify]: Simplify U into U 50.899 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 50.900 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 50.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.900 * [taylor]: Taking taylor expansion of 1/2 in K 50.900 * [backup-simplify]: Simplify 1/2 into 1/2 50.900 * [taylor]: Taking taylor expansion of K in K 50.900 * [backup-simplify]: Simplify 0 into 0 50.900 * [backup-simplify]: Simplify 1 into 1 50.900 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.901 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.901 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.901 * [taylor]: Taking taylor expansion of J in K 50.901 * [backup-simplify]: Simplify J into J 50.901 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.901 * [backup-simplify]: Simplify (* 1 1) into 1 50.901 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.901 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 50.901 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 50.901 * [taylor]: Taking taylor expansion of 1 in K 50.901 * [backup-simplify]: Simplify 1 into 1 50.902 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 50.902 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 50.902 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 50.902 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.902 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.903 * [backup-simplify]: Simplify (+ 0) into 0 50.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 50.904 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 50.905 * [backup-simplify]: Simplify (+ 0 0) into 0 50.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 50.905 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.905 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.905 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.905 * [taylor]: Taking taylor expansion of 1/4 in U 50.905 * [backup-simplify]: Simplify 1/4 into 1/4 50.905 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.905 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.905 * [taylor]: Taking taylor expansion of U in U 50.905 * [backup-simplify]: Simplify 0 into 0 50.905 * [backup-simplify]: Simplify 1 into 1 50.905 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.905 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.905 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.905 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.905 * [taylor]: Taking taylor expansion of 1/2 in U 50.905 * [backup-simplify]: Simplify 1/2 into 1/2 50.905 * [taylor]: Taking taylor expansion of K in U 50.905 * [backup-simplify]: Simplify K into K 50.905 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.905 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.906 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.906 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.906 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.906 * [backup-simplify]: Simplify (- 0) into 0 50.906 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.906 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.906 * [taylor]: Taking taylor expansion of J in U 50.906 * [backup-simplify]: Simplify J into J 50.906 * [backup-simplify]: Simplify (* 1 1) into 1 50.907 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.907 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.907 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.907 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.907 * [taylor]: Taking taylor expansion of 1 in U 50.907 * [backup-simplify]: Simplify 1 into 1 50.907 * [backup-simplify]: Simplify (+ 0 1) into 1 50.908 * [backup-simplify]: Simplify (sqrt 1) into 1 50.908 * [backup-simplify]: Simplify (+ 0 0) into 0 50.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.909 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.909 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.909 * [taylor]: Taking taylor expansion of 1/4 in U 50.909 * [backup-simplify]: Simplify 1/4 into 1/4 50.909 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.909 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.909 * [taylor]: Taking taylor expansion of U in U 50.909 * [backup-simplify]: Simplify 0 into 0 50.909 * [backup-simplify]: Simplify 1 into 1 50.909 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.909 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.909 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.909 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.909 * [taylor]: Taking taylor expansion of 1/2 in U 50.909 * [backup-simplify]: Simplify 1/2 into 1/2 50.909 * [taylor]: Taking taylor expansion of K in U 50.909 * [backup-simplify]: Simplify K into K 50.909 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.909 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.909 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.909 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.909 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.910 * [backup-simplify]: Simplify (- 0) into 0 50.910 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.910 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.910 * [taylor]: Taking taylor expansion of J in U 50.910 * [backup-simplify]: Simplify J into J 50.910 * [backup-simplify]: Simplify (* 1 1) into 1 50.910 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.910 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.911 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.911 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.911 * [taylor]: Taking taylor expansion of 1 in U 50.911 * [backup-simplify]: Simplify 1 into 1 50.911 * [backup-simplify]: Simplify (+ 0 1) into 1 50.912 * [backup-simplify]: Simplify (sqrt 1) into 1 50.912 * [backup-simplify]: Simplify (+ 0 0) into 0 50.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.913 * [taylor]: Taking taylor expansion of 1 in K 50.913 * [backup-simplify]: Simplify 1 into 1 50.913 * [taylor]: Taking taylor expansion of 1 in J 50.913 * [backup-simplify]: Simplify 1 into 1 50.913 * [taylor]: Taking taylor expansion of 0 in K 50.913 * [backup-simplify]: Simplify 0 into 0 50.913 * [taylor]: Taking taylor expansion of 0 in J 50.913 * [backup-simplify]: Simplify 0 into 0 50.913 * [taylor]: Taking taylor expansion of 0 in J 50.913 * [backup-simplify]: Simplify 0 into 0 50.913 * [backup-simplify]: Simplify 1 into 1 50.913 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.913 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 50.914 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.914 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 50.915 * [taylor]: Taking taylor expansion of 1/8 in K 50.915 * [backup-simplify]: Simplify 1/8 into 1/8 50.915 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 50.915 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 50.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.915 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.915 * [taylor]: Taking taylor expansion of 1/2 in K 50.915 * [backup-simplify]: Simplify 1/2 into 1/2 50.915 * [taylor]: Taking taylor expansion of K in K 50.915 * [backup-simplify]: Simplify 0 into 0 50.915 * [backup-simplify]: Simplify 1 into 1 50.915 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.916 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.916 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.916 * [taylor]: Taking taylor expansion of J in K 50.916 * [backup-simplify]: Simplify J into J 50.916 * [backup-simplify]: Simplify (* 1 1) into 1 50.916 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.916 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 50.916 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 50.916 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 50.916 * [taylor]: Taking taylor expansion of 1/8 in J 50.916 * [backup-simplify]: Simplify 1/8 into 1/8 50.916 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.917 * [taylor]: Taking taylor expansion of J in J 50.917 * [backup-simplify]: Simplify 0 into 0 50.917 * [backup-simplify]: Simplify 1 into 1 50.917 * [backup-simplify]: Simplify (* 1 1) into 1 50.917 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 50.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 50.919 * [backup-simplify]: Simplify 0 into 0 50.919 * [taylor]: Taking taylor expansion of 0 in J 50.919 * [backup-simplify]: Simplify 0 into 0 50.919 * [taylor]: Taking taylor expansion of 0 in J 50.919 * [backup-simplify]: Simplify 0 into 0 50.919 * [backup-simplify]: Simplify 0 into 0 50.919 * [backup-simplify]: Simplify 0 into 0 50.919 * [backup-simplify]: Simplify 0 into 0 50.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.920 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.920 * [backup-simplify]: Simplify (+ 0) into 0 50.921 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.922 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.923 * [backup-simplify]: Simplify (- 0) into 0 50.923 * [backup-simplify]: Simplify (+ 0 0) into 0 50.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.924 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 50.924 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 50.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 50.925 * [backup-simplify]: Simplify (+ 0 0) into 0 50.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 50.926 * [taylor]: Taking taylor expansion of 0 in K 50.926 * [backup-simplify]: Simplify 0 into 0 50.926 * [taylor]: Taking taylor expansion of 0 in J 50.926 * [backup-simplify]: Simplify 0 into 0 50.926 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.926 * [backup-simplify]: Simplify (+ 0) into 0 50.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 50.928 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 50.928 * [taylor]: Taking taylor expansion of 0 in J 50.928 * [backup-simplify]: Simplify 0 into 0 50.928 * [taylor]: Taking taylor expansion of 0 in J 50.928 * [backup-simplify]: Simplify 0 into 0 50.928 * [taylor]: Taking taylor expansion of 0 in J 50.928 * [backup-simplify]: Simplify 0 into 0 50.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.930 * [backup-simplify]: Simplify 0 into 0 50.930 * [backup-simplify]: Simplify 0 into 0 50.930 * [backup-simplify]: Simplify 1 into 1 50.931 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 50.931 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 50.931 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 50.931 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 50.931 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 50.931 * [taylor]: Taking taylor expansion of 1/4 in J 50.931 * [backup-simplify]: Simplify 1/4 into 1/4 50.931 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 50.931 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.931 * [taylor]: Taking taylor expansion of J in J 50.931 * [backup-simplify]: Simplify 0 into 0 50.931 * [backup-simplify]: Simplify 1 into 1 50.931 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 50.931 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.931 * [taylor]: Taking taylor expansion of U in J 50.931 * [backup-simplify]: Simplify U into U 50.931 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 50.931 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.931 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.931 * [taylor]: Taking taylor expansion of 1/2 in J 50.931 * [backup-simplify]: Simplify 1/2 into 1/2 50.931 * [taylor]: Taking taylor expansion of K in J 50.931 * [backup-simplify]: Simplify K into K 50.932 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.932 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.932 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.932 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.932 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.932 * [backup-simplify]: Simplify (- 0) into 0 50.932 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.933 * [backup-simplify]: Simplify (* 1 1) into 1 50.933 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.933 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.933 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.933 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 50.933 * [taylor]: Taking taylor expansion of 1 in J 50.933 * [backup-simplify]: Simplify 1 into 1 50.934 * [backup-simplify]: Simplify (+ 0 1) into 1 50.934 * [backup-simplify]: Simplify (sqrt 1) into 1 50.935 * [backup-simplify]: Simplify (+ 0 0) into 0 50.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.935 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 50.935 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 50.935 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 50.935 * [taylor]: Taking taylor expansion of 1/4 in K 50.936 * [backup-simplify]: Simplify 1/4 into 1/4 50.936 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 50.936 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.936 * [taylor]: Taking taylor expansion of J in K 50.936 * [backup-simplify]: Simplify J into J 50.936 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 50.936 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.936 * [taylor]: Taking taylor expansion of U in K 50.936 * [backup-simplify]: Simplify U into U 50.936 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 50.936 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.936 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.936 * [taylor]: Taking taylor expansion of 1/2 in K 50.936 * [backup-simplify]: Simplify 1/2 into 1/2 50.936 * [taylor]: Taking taylor expansion of K in K 50.936 * [backup-simplify]: Simplify 0 into 0 50.936 * [backup-simplify]: Simplify 1 into 1 50.936 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.936 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.937 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.937 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.937 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.937 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 50.937 * [taylor]: Taking taylor expansion of 1 in K 50.937 * [backup-simplify]: Simplify 1 into 1 50.937 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 50.938 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 50.938 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 50.938 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.939 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.939 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.939 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.940 * [backup-simplify]: Simplify (+ 0 0) into 0 50.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 50.941 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.941 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.941 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.941 * [taylor]: Taking taylor expansion of 1/4 in U 50.941 * [backup-simplify]: Simplify 1/4 into 1/4 50.941 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.941 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.941 * [taylor]: Taking taylor expansion of J in U 50.941 * [backup-simplify]: Simplify J into J 50.941 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.941 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.941 * [taylor]: Taking taylor expansion of U in U 50.941 * [backup-simplify]: Simplify 0 into 0 50.941 * [backup-simplify]: Simplify 1 into 1 50.941 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.941 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.941 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.941 * [taylor]: Taking taylor expansion of 1/2 in U 50.941 * [backup-simplify]: Simplify 1/2 into 1/2 50.942 * [taylor]: Taking taylor expansion of K in U 50.942 * [backup-simplify]: Simplify K into K 50.942 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.942 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.942 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.942 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.942 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.942 * [backup-simplify]: Simplify (- 0) into 0 50.942 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.942 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.943 * [backup-simplify]: Simplify (* 1 1) into 1 50.943 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.943 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.943 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.943 * [taylor]: Taking taylor expansion of 1 in U 50.943 * [backup-simplify]: Simplify 1 into 1 50.944 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.944 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.944 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.944 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.945 * [backup-simplify]: Simplify (+ 0) into 0 50.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.945 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.947 * [backup-simplify]: Simplify (- 0) into 0 50.947 * [backup-simplify]: Simplify (+ 0 0) into 0 50.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.949 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.950 * [backup-simplify]: Simplify (+ 0 0) into 0 50.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.951 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.951 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.951 * [taylor]: Taking taylor expansion of 1/4 in U 50.951 * [backup-simplify]: Simplify 1/4 into 1/4 50.951 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.951 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.951 * [taylor]: Taking taylor expansion of J in U 50.951 * [backup-simplify]: Simplify J into J 50.951 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.951 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.951 * [taylor]: Taking taylor expansion of U in U 50.951 * [backup-simplify]: Simplify 0 into 0 50.951 * [backup-simplify]: Simplify 1 into 1 50.951 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.951 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.951 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.951 * [taylor]: Taking taylor expansion of 1/2 in U 50.951 * [backup-simplify]: Simplify 1/2 into 1/2 50.951 * [taylor]: Taking taylor expansion of K in U 50.951 * [backup-simplify]: Simplify K into K 50.951 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.951 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.951 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.951 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.951 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.952 * [backup-simplify]: Simplify (- 0) into 0 50.952 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.952 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.952 * [backup-simplify]: Simplify (* 1 1) into 1 50.952 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.953 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.953 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.953 * [taylor]: Taking taylor expansion of 1 in U 50.953 * [backup-simplify]: Simplify 1 into 1 50.953 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.953 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 50.954 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.954 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.954 * [backup-simplify]: Simplify (+ 0) into 0 50.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.955 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.956 * [backup-simplify]: Simplify (- 0) into 0 50.957 * [backup-simplify]: Simplify (+ 0 0) into 0 50.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.958 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.959 * [backup-simplify]: Simplify (+ 0 0) into 0 50.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 50.960 * [taylor]: Taking taylor expansion of 1/2 in K 50.960 * [backup-simplify]: Simplify 1/2 into 1/2 50.960 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 50.960 * [taylor]: Taking taylor expansion of J in K 50.960 * [backup-simplify]: Simplify J into J 50.960 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.960 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.960 * [taylor]: Taking taylor expansion of 1/2 in K 50.960 * [backup-simplify]: Simplify 1/2 into 1/2 50.960 * [taylor]: Taking taylor expansion of K in K 50.960 * [backup-simplify]: Simplify 0 into 0 50.960 * [backup-simplify]: Simplify 1 into 1 50.961 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.961 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.961 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 50.961 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 50.961 * [taylor]: Taking taylor expansion of 1/2 in J 50.961 * [backup-simplify]: Simplify 1/2 into 1/2 50.961 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 50.961 * [taylor]: Taking taylor expansion of J in J 50.961 * [backup-simplify]: Simplify 0 into 0 50.961 * [backup-simplify]: Simplify 1 into 1 50.961 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.961 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.961 * [taylor]: Taking taylor expansion of 1/2 in J 50.961 * [backup-simplify]: Simplify 1/2 into 1/2 50.961 * [taylor]: Taking taylor expansion of K in J 50.961 * [backup-simplify]: Simplify K into K 50.961 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.961 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.961 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.962 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.962 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.962 * [backup-simplify]: Simplify (- 0) into 0 50.962 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.962 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 50.962 * [taylor]: Taking taylor expansion of 0 in K 50.962 * [backup-simplify]: Simplify 0 into 0 50.962 * [taylor]: Taking taylor expansion of 0 in J 50.962 * [backup-simplify]: Simplify 0 into 0 50.962 * [backup-simplify]: Simplify 0 into 0 50.963 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 50.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 50.963 * [taylor]: Taking taylor expansion of 0 in J 50.963 * [backup-simplify]: Simplify 0 into 0 50.963 * [backup-simplify]: Simplify 0 into 0 50.963 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 50.963 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 50.964 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.967 * [backup-simplify]: Simplify (- 0) into 0 50.968 * [backup-simplify]: Simplify (+ 0 0) into 0 50.968 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.971 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.972 * [backup-simplify]: Simplify (+ 0 1) into 1 50.973 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 50.973 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 50.973 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.973 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.973 * [taylor]: Taking taylor expansion of 1/2 in K 50.973 * [backup-simplify]: Simplify 1/2 into 1/2 50.973 * [taylor]: Taking taylor expansion of K in K 50.973 * [backup-simplify]: Simplify 0 into 0 50.973 * [backup-simplify]: Simplify 1 into 1 50.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.974 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.974 * [taylor]: Taking taylor expansion of J in K 50.974 * [backup-simplify]: Simplify J into J 50.974 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.974 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 50.974 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.974 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.974 * [taylor]: Taking taylor expansion of 1/2 in J 50.974 * [backup-simplify]: Simplify 1/2 into 1/2 50.974 * [taylor]: Taking taylor expansion of K in J 50.974 * [backup-simplify]: Simplify K into K 50.974 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.974 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.974 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.974 * [taylor]: Taking taylor expansion of J in J 50.974 * [backup-simplify]: Simplify 0 into 0 50.974 * [backup-simplify]: Simplify 1 into 1 50.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.974 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.975 * [backup-simplify]: Simplify (- 0) into 0 50.975 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.975 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.975 * [backup-simplify]: Simplify (+ 0) into 0 50.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.978 * [backup-simplify]: Simplify (- 0) into 0 50.978 * [backup-simplify]: Simplify (+ 0 0) into 0 50.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 50.979 * [backup-simplify]: Simplify 0 into 0 50.979 * [taylor]: Taking taylor expansion of 0 in J 50.979 * [backup-simplify]: Simplify 0 into 0 50.979 * [backup-simplify]: Simplify 0 into 0 50.980 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 50.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 50.981 * [taylor]: Taking taylor expansion of 0 in J 50.981 * [backup-simplify]: Simplify 0 into 0 50.981 * [backup-simplify]: Simplify 0 into 0 50.981 * [backup-simplify]: Simplify 0 into 0 50.981 * [backup-simplify]: Simplify 0 into 0 50.981 * [backup-simplify]: Simplify (+ 0) into 0 50.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.984 * [backup-simplify]: Simplify (- 0) into 0 50.984 * [backup-simplify]: Simplify (+ 0 0) into 0 50.984 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 50.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 50.985 * [backup-simplify]: Simplify 0 into 0 50.985 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 50.986 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 50.986 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 50.986 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 50.986 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 50.986 * [taylor]: Taking taylor expansion of 1 in J 50.986 * [backup-simplify]: Simplify 1 into 1 50.986 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 50.986 * [taylor]: Taking taylor expansion of 1/4 in J 50.986 * [backup-simplify]: Simplify 1/4 into 1/4 50.986 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 50.986 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.986 * [taylor]: Taking taylor expansion of J in J 50.986 * [backup-simplify]: Simplify 0 into 0 50.986 * [backup-simplify]: Simplify 1 into 1 50.986 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 50.986 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.986 * [taylor]: Taking taylor expansion of -1/2 in J 50.986 * [backup-simplify]: Simplify -1/2 into -1/2 50.986 * [taylor]: Taking taylor expansion of K in J 50.986 * [backup-simplify]: Simplify K into K 50.986 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.986 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.987 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.987 * [backup-simplify]: Simplify (- 0) into 0 50.987 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.987 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.987 * [taylor]: Taking taylor expansion of U in J 50.987 * [backup-simplify]: Simplify U into U 50.988 * [backup-simplify]: Simplify (* 1 1) into 1 50.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.988 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.988 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.988 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.989 * [backup-simplify]: Simplify (+ 1 0) into 1 50.989 * [backup-simplify]: Simplify (sqrt 1) into 1 50.989 * [backup-simplify]: Simplify (+ 0 0) into 0 50.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.990 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 50.990 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 50.990 * [taylor]: Taking taylor expansion of 1 in K 50.990 * [backup-simplify]: Simplify 1 into 1 50.990 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 50.990 * [taylor]: Taking taylor expansion of 1/4 in K 50.990 * [backup-simplify]: Simplify 1/4 into 1/4 50.990 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 50.990 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.990 * [taylor]: Taking taylor expansion of J in K 50.990 * [backup-simplify]: Simplify J into J 50.990 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 50.990 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.990 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.990 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.990 * [taylor]: Taking taylor expansion of -1/2 in K 50.990 * [backup-simplify]: Simplify -1/2 into -1/2 50.991 * [taylor]: Taking taylor expansion of K in K 50.991 * [backup-simplify]: Simplify 0 into 0 50.991 * [backup-simplify]: Simplify 1 into 1 50.991 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.991 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.991 * [taylor]: Taking taylor expansion of U in K 50.991 * [backup-simplify]: Simplify U into U 50.991 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.991 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.992 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.992 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.992 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 50.992 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 50.993 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 50.993 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.993 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.993 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 50.994 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 50.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 50.995 * [backup-simplify]: Simplify (+ 0 0) into 0 50.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 50.996 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.996 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.996 * [taylor]: Taking taylor expansion of 1 in U 50.996 * [backup-simplify]: Simplify 1 into 1 50.996 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.996 * [taylor]: Taking taylor expansion of 1/4 in U 50.996 * [backup-simplify]: Simplify 1/4 into 1/4 50.996 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.996 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.996 * [taylor]: Taking taylor expansion of J in U 50.996 * [backup-simplify]: Simplify J into J 50.996 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.996 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.996 * [taylor]: Taking taylor expansion of -1/2 in U 50.996 * [backup-simplify]: Simplify -1/2 into -1/2 50.996 * [taylor]: Taking taylor expansion of K in U 50.996 * [backup-simplify]: Simplify K into K 50.996 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.996 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.996 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.997 * [backup-simplify]: Simplify (- 0) into 0 50.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.997 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.997 * [taylor]: Taking taylor expansion of U in U 50.997 * [backup-simplify]: Simplify 0 into 0 50.997 * [backup-simplify]: Simplify 1 into 1 50.997 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.998 * [backup-simplify]: Simplify (* 1 1) into 1 50.998 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.998 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.998 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.999 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 50.999 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.999 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.000 * [backup-simplify]: Simplify (+ 0) into 0 51.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.002 * [backup-simplify]: Simplify (- 0) into 0 51.003 * [backup-simplify]: Simplify (+ 0 0) into 0 51.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.003 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.004 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.005 * [backup-simplify]: Simplify (+ 0 0) into 0 51.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.005 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.005 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.005 * [taylor]: Taking taylor expansion of 1 in U 51.005 * [backup-simplify]: Simplify 1 into 1 51.005 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.005 * [taylor]: Taking taylor expansion of 1/4 in U 51.005 * [backup-simplify]: Simplify 1/4 into 1/4 51.005 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.006 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.006 * [taylor]: Taking taylor expansion of J in U 51.006 * [backup-simplify]: Simplify J into J 51.006 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.006 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.006 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.006 * [taylor]: Taking taylor expansion of -1/2 in U 51.006 * [backup-simplify]: Simplify -1/2 into -1/2 51.006 * [taylor]: Taking taylor expansion of K in U 51.006 * [backup-simplify]: Simplify K into K 51.006 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.006 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.006 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.006 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.007 * [backup-simplify]: Simplify (- 0) into 0 51.007 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.007 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.007 * [taylor]: Taking taylor expansion of U in U 51.007 * [backup-simplify]: Simplify 0 into 0 51.007 * [backup-simplify]: Simplify 1 into 1 51.007 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.007 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.007 * [backup-simplify]: Simplify (* 1 1) into 1 51.008 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.008 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.008 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.008 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.008 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.009 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.010 * [backup-simplify]: Simplify (+ 0) into 0 51.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.010 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.012 * [backup-simplify]: Simplify (- 0) into 0 51.012 * [backup-simplify]: Simplify (+ 0 0) into 0 51.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.013 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.013 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.014 * [backup-simplify]: Simplify (+ 0 0) into 0 51.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 51.015 * [taylor]: Taking taylor expansion of 1/2 in K 51.015 * [backup-simplify]: Simplify 1/2 into 1/2 51.015 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 51.015 * [taylor]: Taking taylor expansion of J in K 51.015 * [backup-simplify]: Simplify J into J 51.015 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.015 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.015 * [taylor]: Taking taylor expansion of -1/2 in K 51.015 * [backup-simplify]: Simplify -1/2 into -1/2 51.015 * [taylor]: Taking taylor expansion of K in K 51.015 * [backup-simplify]: Simplify 0 into 0 51.015 * [backup-simplify]: Simplify 1 into 1 51.016 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.016 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.016 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 51.016 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.016 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 51.016 * [taylor]: Taking taylor expansion of 1/2 in J 51.016 * [backup-simplify]: Simplify 1/2 into 1/2 51.016 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 51.016 * [taylor]: Taking taylor expansion of J in J 51.016 * [backup-simplify]: Simplify 0 into 0 51.016 * [backup-simplify]: Simplify 1 into 1 51.016 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.016 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.016 * [taylor]: Taking taylor expansion of -1/2 in J 51.016 * [backup-simplify]: Simplify -1/2 into -1/2 51.016 * [taylor]: Taking taylor expansion of K in J 51.016 * [backup-simplify]: Simplify K into K 51.016 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.016 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.016 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.017 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.017 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.017 * [backup-simplify]: Simplify (- 0) into 0 51.017 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.017 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 51.017 * [taylor]: Taking taylor expansion of 0 in K 51.017 * [backup-simplify]: Simplify 0 into 0 51.017 * [taylor]: Taking taylor expansion of 0 in J 51.017 * [backup-simplify]: Simplify 0 into 0 51.017 * [backup-simplify]: Simplify 0 into 0 51.018 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 51.018 * [taylor]: Taking taylor expansion of 0 in J 51.018 * [backup-simplify]: Simplify 0 into 0 51.018 * [backup-simplify]: Simplify 0 into 0 51.018 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 51.019 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 51.019 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.022 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.023 * [backup-simplify]: Simplify (- 0) into 0 51.024 * [backup-simplify]: Simplify (+ 0 0) into 0 51.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.025 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.026 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.027 * [backup-simplify]: Simplify (+ 1 0) into 1 51.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 51.028 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.028 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.028 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.028 * [taylor]: Taking taylor expansion of -1/2 in K 51.028 * [backup-simplify]: Simplify -1/2 into -1/2 51.028 * [taylor]: Taking taylor expansion of K in K 51.028 * [backup-simplify]: Simplify 0 into 0 51.028 * [backup-simplify]: Simplify 1 into 1 51.028 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.029 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.029 * [taylor]: Taking taylor expansion of J in K 51.029 * [backup-simplify]: Simplify J into J 51.029 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.029 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.029 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.029 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.029 * [taylor]: Taking taylor expansion of -1/2 in J 51.029 * [backup-simplify]: Simplify -1/2 into -1/2 51.029 * [taylor]: Taking taylor expansion of K in J 51.029 * [backup-simplify]: Simplify K into K 51.029 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.029 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.029 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.029 * [taylor]: Taking taylor expansion of J in J 51.029 * [backup-simplify]: Simplify 0 into 0 51.029 * [backup-simplify]: Simplify 1 into 1 51.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.029 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.030 * [backup-simplify]: Simplify (- 0) into 0 51.030 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.030 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.030 * [backup-simplify]: Simplify (+ 0) into 0 51.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.033 * [backup-simplify]: Simplify (- 0) into 0 51.033 * [backup-simplify]: Simplify (+ 0 0) into 0 51.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 51.034 * [backup-simplify]: Simplify 0 into 0 51.034 * [taylor]: Taking taylor expansion of 0 in J 51.034 * [backup-simplify]: Simplify 0 into 0 51.034 * [backup-simplify]: Simplify 0 into 0 51.034 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 51.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 51.035 * [taylor]: Taking taylor expansion of 0 in J 51.035 * [backup-simplify]: Simplify 0 into 0 51.035 * [backup-simplify]: Simplify 0 into 0 51.035 * [backup-simplify]: Simplify 0 into 0 51.036 * [backup-simplify]: Simplify 0 into 0 51.036 * [backup-simplify]: Simplify (+ 0) into 0 51.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.045 * [backup-simplify]: Simplify (- 0) into 0 51.045 * [backup-simplify]: Simplify (+ 0 0) into 0 51.045 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 51.046 * [backup-simplify]: Simplify 0 into 0 51.046 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 51.046 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 51.046 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 51.047 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 51.047 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 51.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 51.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 51.047 * [taylor]: Taking taylor expansion of 1/3 in K 51.047 * [backup-simplify]: Simplify 1/3 into 1/3 51.047 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 51.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.047 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.047 * [taylor]: Taking taylor expansion of 1/2 in K 51.047 * [backup-simplify]: Simplify 1/2 into 1/2 51.047 * [taylor]: Taking taylor expansion of K in K 51.047 * [backup-simplify]: Simplify 0 into 0 51.047 * [backup-simplify]: Simplify 1 into 1 51.047 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.048 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.049 * [backup-simplify]: Simplify (log 1) into 0 51.049 * [backup-simplify]: Simplify (* 1/3 0) into 0 51.050 * [backup-simplify]: Simplify (+ 0) into 0 51.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 51.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 51.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.056 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 51.057 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 51.057 * [backup-simplify]: Simplify (exp 0) into 1 51.057 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 51.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 51.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 51.057 * [taylor]: Taking taylor expansion of 1/3 in K 51.057 * [backup-simplify]: Simplify 1/3 into 1/3 51.057 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 51.057 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.057 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.057 * [taylor]: Taking taylor expansion of 1/2 in K 51.057 * [backup-simplify]: Simplify 1/2 into 1/2 51.057 * [taylor]: Taking taylor expansion of K in K 51.057 * [backup-simplify]: Simplify 0 into 0 51.057 * [backup-simplify]: Simplify 1 into 1 51.058 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.058 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.059 * [backup-simplify]: Simplify (log 1) into 0 51.059 * [backup-simplify]: Simplify (* 1/3 0) into 0 51.060 * [backup-simplify]: Simplify (+ 0) into 0 51.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 51.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 51.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 51.066 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 51.067 * [backup-simplify]: Simplify (exp 0) into 1 51.067 * [backup-simplify]: Simplify 1 into 1 51.068 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 51.068 * [backup-simplify]: Simplify 0 into 0 51.070 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 51.070 * [backup-simplify]: Simplify -1/24 into -1/24 51.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.072 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.078 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 51.079 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 51.081 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.081 * [backup-simplify]: Simplify 0 into 0 51.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 51.097 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 51.099 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 51.104 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 51.104 * [backup-simplify]: Simplify -1/1152 into -1/1152 51.105 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 51.105 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 51.105 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 51.105 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 51.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 51.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 51.105 * [taylor]: Taking taylor expansion of 1/3 in K 51.105 * [backup-simplify]: Simplify 1/3 into 1/3 51.105 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 51.105 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.105 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.105 * [taylor]: Taking taylor expansion of 1/2 in K 51.105 * [backup-simplify]: Simplify 1/2 into 1/2 51.105 * [taylor]: Taking taylor expansion of K in K 51.105 * [backup-simplify]: Simplify 0 into 0 51.105 * [backup-simplify]: Simplify 1 into 1 51.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.106 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 51.106 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 51.106 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 51.106 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 51.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 51.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 51.106 * [taylor]: Taking taylor expansion of 1/3 in K 51.106 * [backup-simplify]: Simplify 1/3 into 1/3 51.106 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 51.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.106 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.106 * [taylor]: Taking taylor expansion of 1/2 in K 51.106 * [backup-simplify]: Simplify 1/2 into 1/2 51.106 * [taylor]: Taking taylor expansion of K in K 51.106 * [backup-simplify]: Simplify 0 into 0 51.107 * [backup-simplify]: Simplify 1 into 1 51.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.107 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.107 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 51.107 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 51.107 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 51.108 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 51.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 51.109 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 51.110 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.110 * [backup-simplify]: Simplify 0 into 0 51.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 51.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 51.114 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.114 * [backup-simplify]: Simplify 0 into 0 51.117 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 51.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 51.120 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.121 * [backup-simplify]: Simplify 0 into 0 51.125 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 51.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 51.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.130 * [backup-simplify]: Simplify 0 into 0 51.138 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 51.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 51.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.144 * [backup-simplify]: Simplify 0 into 0 51.156 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 51.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 51.165 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.165 * [backup-simplify]: Simplify 0 into 0 51.165 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 51.165 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 51.165 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 51.165 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 51.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 51.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 51.166 * [taylor]: Taking taylor expansion of 1/3 in K 51.166 * [backup-simplify]: Simplify 1/3 into 1/3 51.166 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 51.166 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.166 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.166 * [taylor]: Taking taylor expansion of -1/2 in K 51.166 * [backup-simplify]: Simplify -1/2 into -1/2 51.166 * [taylor]: Taking taylor expansion of K in K 51.166 * [backup-simplify]: Simplify 0 into 0 51.166 * [backup-simplify]: Simplify 1 into 1 51.166 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.166 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.166 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 51.167 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 51.167 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 51.167 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 51.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 51.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 51.167 * [taylor]: Taking taylor expansion of 1/3 in K 51.167 * [backup-simplify]: Simplify 1/3 into 1/3 51.167 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 51.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.167 * [taylor]: Taking taylor expansion of -1/2 in K 51.167 * [backup-simplify]: Simplify -1/2 into -1/2 51.167 * [taylor]: Taking taylor expansion of K in K 51.167 * [backup-simplify]: Simplify 0 into 0 51.167 * [backup-simplify]: Simplify 1 into 1 51.168 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.168 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 51.168 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 51.168 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 51.168 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 51.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 51.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 51.170 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.170 * [backup-simplify]: Simplify 0 into 0 51.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 51.173 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 51.175 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.175 * [backup-simplify]: Simplify 0 into 0 51.177 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 51.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 51.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.181 * [backup-simplify]: Simplify 0 into 0 51.185 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 51.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 51.190 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.190 * [backup-simplify]: Simplify 0 into 0 51.204 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 51.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 51.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.211 * [backup-simplify]: Simplify 0 into 0 51.224 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 51.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 51.232 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.232 * [backup-simplify]: Simplify 0 into 0 51.232 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 51.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 51.232 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 51.232 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 51.232 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 51.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 51.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 51.232 * [taylor]: Taking taylor expansion of 1/3 in K 51.232 * [backup-simplify]: Simplify 1/3 into 1/3 51.232 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 51.232 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.232 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.232 * [taylor]: Taking taylor expansion of 1/2 in K 51.232 * [backup-simplify]: Simplify 1/2 into 1/2 51.232 * [taylor]: Taking taylor expansion of K in K 51.232 * [backup-simplify]: Simplify 0 into 0 51.233 * [backup-simplify]: Simplify 1 into 1 51.233 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.234 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.234 * [backup-simplify]: Simplify (log 1) into 0 51.235 * [backup-simplify]: Simplify (* 1/3 0) into 0 51.235 * [backup-simplify]: Simplify (+ 0) into 0 51.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 51.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 51.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 51.242 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 51.242 * [backup-simplify]: Simplify (exp 0) into 1 51.242 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 51.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 51.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 51.242 * [taylor]: Taking taylor expansion of 1/3 in K 51.242 * [backup-simplify]: Simplify 1/3 into 1/3 51.242 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 51.242 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.242 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.242 * [taylor]: Taking taylor expansion of 1/2 in K 51.242 * [backup-simplify]: Simplify 1/2 into 1/2 51.242 * [taylor]: Taking taylor expansion of K in K 51.242 * [backup-simplify]: Simplify 0 into 0 51.242 * [backup-simplify]: Simplify 1 into 1 51.243 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.244 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.244 * [backup-simplify]: Simplify (log 1) into 0 51.244 * [backup-simplify]: Simplify (* 1/3 0) into 0 51.245 * [backup-simplify]: Simplify (+ 0) into 0 51.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 51.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 51.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 51.252 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 51.252 * [backup-simplify]: Simplify (exp 0) into 1 51.252 * [backup-simplify]: Simplify 1 into 1 51.253 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 51.253 * [backup-simplify]: Simplify 0 into 0 51.255 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 51.255 * [backup-simplify]: Simplify -1/24 into -1/24 51.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.257 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.262 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 51.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 51.266 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.266 * [backup-simplify]: Simplify 0 into 0 51.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 51.276 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 51.277 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 51.280 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 51.280 * [backup-simplify]: Simplify -1/1152 into -1/1152 51.280 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 51.280 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 51.280 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 51.280 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 51.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 51.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 51.280 * [taylor]: Taking taylor expansion of 1/3 in K 51.280 * [backup-simplify]: Simplify 1/3 into 1/3 51.280 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 51.280 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.280 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.280 * [taylor]: Taking taylor expansion of 1/2 in K 51.280 * [backup-simplify]: Simplify 1/2 into 1/2 51.280 * [taylor]: Taking taylor expansion of K in K 51.280 * [backup-simplify]: Simplify 0 into 0 51.280 * [backup-simplify]: Simplify 1 into 1 51.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.281 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.281 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 51.281 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 51.281 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 51.281 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 51.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 51.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 51.281 * [taylor]: Taking taylor expansion of 1/3 in K 51.281 * [backup-simplify]: Simplify 1/3 into 1/3 51.281 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 51.281 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.281 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.281 * [taylor]: Taking taylor expansion of 1/2 in K 51.281 * [backup-simplify]: Simplify 1/2 into 1/2 51.281 * [taylor]: Taking taylor expansion of K in K 51.281 * [backup-simplify]: Simplify 0 into 0 51.281 * [backup-simplify]: Simplify 1 into 1 51.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.281 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.282 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 51.282 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 51.282 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 51.282 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 51.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 51.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 51.283 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.283 * [backup-simplify]: Simplify 0 into 0 51.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 51.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 51.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.286 * [backup-simplify]: Simplify 0 into 0 51.287 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 51.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 51.289 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.289 * [backup-simplify]: Simplify 0 into 0 51.292 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 51.293 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 51.294 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.294 * [backup-simplify]: Simplify 0 into 0 51.299 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 51.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 51.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.302 * [backup-simplify]: Simplify 0 into 0 51.309 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 51.318 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 51.324 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.324 * [backup-simplify]: Simplify 0 into 0 51.324 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 51.324 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 51.324 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 51.324 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 51.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 51.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 51.325 * [taylor]: Taking taylor expansion of 1/3 in K 51.325 * [backup-simplify]: Simplify 1/3 into 1/3 51.325 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 51.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.325 * [taylor]: Taking taylor expansion of -1/2 in K 51.325 * [backup-simplify]: Simplify -1/2 into -1/2 51.325 * [taylor]: Taking taylor expansion of K in K 51.325 * [backup-simplify]: Simplify 0 into 0 51.325 * [backup-simplify]: Simplify 1 into 1 51.325 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.325 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.325 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 51.326 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 51.326 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 51.326 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 51.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 51.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 51.326 * [taylor]: Taking taylor expansion of 1/3 in K 51.326 * [backup-simplify]: Simplify 1/3 into 1/3 51.326 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 51.326 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.326 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.326 * [taylor]: Taking taylor expansion of -1/2 in K 51.326 * [backup-simplify]: Simplify -1/2 into -1/2 51.326 * [taylor]: Taking taylor expansion of K in K 51.326 * [backup-simplify]: Simplify 0 into 0 51.326 * [backup-simplify]: Simplify 1 into 1 51.326 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.327 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.327 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 51.327 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 51.327 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 51.327 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 51.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 51.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 51.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.329 * [backup-simplify]: Simplify 0 into 0 51.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 51.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 51.333 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.334 * [backup-simplify]: Simplify 0 into 0 51.336 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 51.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 51.339 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.339 * [backup-simplify]: Simplify 0 into 0 51.344 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 51.346 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 51.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.348 * [backup-simplify]: Simplify 0 into 0 51.356 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 51.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 51.362 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.362 * [backup-simplify]: Simplify 0 into 0 51.375 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 51.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 51.384 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.384 * [backup-simplify]: Simplify 0 into 0 51.384 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 51.384 * * * [progress]: simplifying candidates 51.384 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 51.385 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.385 * * [simplify]: iters left: 6 (20 enodes) 51.396 * * [simplify]: iters left: 5 (85 enodes) 51.426 * * [simplify]: iters left: 4 (190 enodes) 51.493 * * [simplify]: Extracting #0: cost 1 inf + 0 51.494 * * [simplify]: Extracting #1: cost 25 inf + 0 51.494 * * [simplify]: Extracting #2: cost 65 inf + 2 51.495 * * [simplify]: Extracting #3: cost 69 inf + 87 51.495 * * [simplify]: Extracting #4: cost 123 inf + 88 51.497 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.505 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.517 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.529 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.542 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.542 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.542 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 51.543 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.543 * * [simplify]: iters left: 6 (20 enodes) 51.551 * * [simplify]: iters left: 5 (85 enodes) 51.568 * * [simplify]: iters left: 4 (190 enodes) 51.650 * * [simplify]: Extracting #0: cost 1 inf + 0 51.650 * * [simplify]: Extracting #1: cost 25 inf + 0 51.650 * * [simplify]: Extracting #2: cost 65 inf + 2 51.650 * * [simplify]: Extracting #3: cost 69 inf + 87 51.651 * * [simplify]: Extracting #4: cost 123 inf + 88 51.652 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.658 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.677 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.700 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.724 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.724 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.724 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 51.724 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.725 * * [simplify]: iters left: 6 (20 enodes) 51.735 * * [simplify]: iters left: 5 (85 enodes) 51.767 * * [simplify]: iters left: 4 (190 enodes) 51.860 * * [simplify]: Extracting #0: cost 1 inf + 0 51.860 * * [simplify]: Extracting #1: cost 25 inf + 0 51.860 * * [simplify]: Extracting #2: cost 65 inf + 2 51.861 * * [simplify]: Extracting #3: cost 69 inf + 87 51.862 * * [simplify]: Extracting #4: cost 123 inf + 88 51.863 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.871 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.892 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.916 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.941 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.941 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.941 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 51.941 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.942 * * [simplify]: iters left: 6 (20 enodes) 51.953 * * [simplify]: iters left: 5 (85 enodes) 51.989 * * [simplify]: iters left: 4 (190 enodes) 52.053 * * [simplify]: Extracting #0: cost 1 inf + 0 52.053 * * [simplify]: Extracting #1: cost 25 inf + 0 52.053 * * [simplify]: Extracting #2: cost 65 inf + 2 52.053 * * [simplify]: Extracting #3: cost 69 inf + 87 52.054 * * [simplify]: Extracting #4: cost 123 inf + 88 52.054 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.059 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.071 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.083 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.098 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.098 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.098 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 52.099 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.099 * * [simplify]: iters left: 6 (20 enodes) 52.110 * * [simplify]: iters left: 5 (85 enodes) 52.136 * * [simplify]: iters left: 4 (190 enodes) 52.185 * * [simplify]: Extracting #0: cost 1 inf + 0 52.185 * * [simplify]: Extracting #1: cost 25 inf + 0 52.185 * * [simplify]: Extracting #2: cost 65 inf + 2 52.185 * * [simplify]: Extracting #3: cost 69 inf + 87 52.186 * * [simplify]: Extracting #4: cost 123 inf + 88 52.187 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.191 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.202 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.222 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.234 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.234 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.234 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 52.235 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.235 * * [simplify]: iters left: 6 (20 enodes) 52.240 * * [simplify]: iters left: 5 (85 enodes) 52.270 * * [simplify]: iters left: 4 (190 enodes) 52.330 * * [simplify]: Extracting #0: cost 1 inf + 0 52.330 * * [simplify]: Extracting #1: cost 25 inf + 0 52.330 * * [simplify]: Extracting #2: cost 65 inf + 2 52.331 * * [simplify]: Extracting #3: cost 69 inf + 87 52.331 * * [simplify]: Extracting #4: cost 123 inf + 88 52.332 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.336 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.349 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.361 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.372 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.372 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.373 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 52.373 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.373 * * [simplify]: iters left: 6 (20 enodes) 52.379 * * [simplify]: iters left: 5 (85 enodes) 52.402 * * [simplify]: iters left: 4 (190 enodes) 52.456 * * [simplify]: Extracting #0: cost 1 inf + 0 52.456 * * [simplify]: Extracting #1: cost 25 inf + 0 52.456 * * [simplify]: Extracting #2: cost 65 inf + 2 52.457 * * [simplify]: Extracting #3: cost 69 inf + 87 52.457 * * [simplify]: Extracting #4: cost 123 inf + 88 52.458 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.462 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.473 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.485 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.505 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.505 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.505 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 52.505 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.506 * * [simplify]: iters left: 6 (20 enodes) 52.517 * * [simplify]: iters left: 5 (85 enodes) 52.547 * * [simplify]: iters left: 4 (190 enodes) 52.592 * * [simplify]: Extracting #0: cost 1 inf + 0 52.592 * * [simplify]: Extracting #1: cost 25 inf + 0 52.592 * * [simplify]: Extracting #2: cost 65 inf + 2 52.592 * * [simplify]: Extracting #3: cost 69 inf + 87 52.593 * * [simplify]: Extracting #4: cost 123 inf + 88 52.593 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.597 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.611 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.632 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.655 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.655 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.655 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 52.655 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.656 * * [simplify]: iters left: 6 (20 enodes) 52.667 * * [simplify]: iters left: 5 (85 enodes) 52.697 * * [simplify]: iters left: 4 (190 enodes) 52.791 * * [simplify]: Extracting #0: cost 1 inf + 0 52.791 * * [simplify]: Extracting #1: cost 25 inf + 0 52.791 * * [simplify]: Extracting #2: cost 65 inf + 2 52.792 * * [simplify]: Extracting #3: cost 69 inf + 87 52.793 * * [simplify]: Extracting #4: cost 123 inf + 88 52.794 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.802 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.823 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.847 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.871 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.871 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.871 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 52.871 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 52.871 * * [simplify]: iters left: 6 (20 enodes) 52.882 * * [simplify]: iters left: 5 (85 enodes) 52.900 * * [simplify]: iters left: 4 (190 enodes) 52.980 * * [simplify]: Extracting #0: cost 1 inf + 0 52.980 * * [simplify]: Extracting #1: cost 25 inf + 0 52.980 * * [simplify]: Extracting #2: cost 65 inf + 2 52.981 * * [simplify]: Extracting #3: cost 69 inf + 87 52.981 * * [simplify]: Extracting #4: cost 123 inf + 88 52.983 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.991 * * [simplify]: Extracting #6: cost 68 inf + 26585 53.011 * * [simplify]: Extracting #7: cost 9 inf + 46633 53.038 * * [simplify]: Extracting #8: cost 0 inf + 51020 53.060 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 53.061 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 53.061 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 53.061 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 53.061 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 53.062 * * [simplify]: iters left: 6 (24 enodes) 53.074 * * [simplify]: iters left: 5 (97 enodes) 53.096 * * [simplify]: iters left: 4 (202 enodes) 53.157 * * [simplify]: Extracting #0: cost 1 inf + 0 53.157 * * [simplify]: Extracting #1: cost 25 inf + 0 53.157 * * [simplify]: Extracting #2: cost 70 inf + 0 53.157 * * [simplify]: Extracting #3: cost 73 inf + 73 53.157 * * [simplify]: Extracting #4: cost 74 inf + 468 53.158 * * [simplify]: Extracting #5: cost 128 inf + 651 53.159 * * [simplify]: Extracting #6: cost 179 inf + 2324 53.162 * * [simplify]: Extracting #7: cost 84 inf + 24765 53.172 * * [simplify]: Extracting #8: cost 21 inf + 50546 53.198 * * [simplify]: Extracting #9: cost 0 inf + 63297 53.225 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))) 53.225 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))))) 53.226 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 53.226 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 53.226 * * [simplify]: iters left: 6 (24 enodes) 53.239 * * [simplify]: iters left: 5 (97 enodes) 53.276 * * [simplify]: iters left: 4 (194 enodes) 53.362 * * [simplify]: Extracting #0: cost 1 inf + 0 53.362 * * [simplify]: Extracting #1: cost 25 inf + 0 53.362 * * [simplify]: Extracting #2: cost 70 inf + 0 53.363 * * [simplify]: Extracting #3: cost 72 inf + 215 53.363 * * [simplify]: Extracting #4: cost 74 inf + 650 53.364 * * [simplify]: Extracting #5: cost 129 inf + 651 53.365 * * [simplify]: Extracting #6: cost 180 inf + 2019 53.372 * * [simplify]: Extracting #7: cost 85 inf + 23313 53.387 * * [simplify]: Extracting #8: cost 25 inf + 47934 53.403 * * [simplify]: Extracting #9: cost 1 inf + 62274 53.419 * * [simplify]: Extracting #10: cost 0 inf + 62828 53.445 * [simplify]: Simplified to (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 53.445 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))))) 53.446 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 53.446 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 53.446 * * [simplify]: iters left: 6 (25 enodes) 53.460 * * [simplify]: iters left: 5 (99 enodes) 53.485 * * [simplify]: iters left: 4 (199 enodes) 53.545 * * [simplify]: Extracting #0: cost 1 inf + 0 53.546 * * [simplify]: Extracting #1: cost 26 inf + 0 53.546 * * [simplify]: Extracting #2: cost 70 inf + 0 53.546 * * [simplify]: Extracting #3: cost 73 inf + 73 53.547 * * [simplify]: Extracting #4: cost 74 inf + 468 53.548 * * [simplify]: Extracting #5: cost 128 inf + 651 53.549 * * [simplify]: Extracting #6: cost 180 inf + 1797 53.554 * * [simplify]: Extracting #7: cost 90 inf + 23093 53.562 * * [simplify]: Extracting #8: cost 27 inf + 45668 53.575 * * [simplify]: Extracting #9: cost 0 inf + 63085 53.596 * [simplify]: Simplified to (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))) 53.596 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))))) 53.596 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 53.596 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 53.597 * * [simplify]: iters left: 6 (24 enodes) 53.609 * * [simplify]: iters left: 5 (97 enodes) 53.632 * * [simplify]: iters left: 4 (190 enodes) 53.679 * * [simplify]: Extracting #0: cost 1 inf + 0 53.679 * * [simplify]: Extracting #1: cost 24 inf + 0 53.680 * * [simplify]: Extracting #2: cost 65 inf + 0 53.680 * * [simplify]: Extracting #3: cost 69 inf + 73 53.680 * * [simplify]: Extracting #4: cost 69 inf + 650 53.680 * * [simplify]: Extracting #5: cost 124 inf + 651 53.681 * * [simplify]: Extracting #6: cost 178 inf + 1612 53.688 * * [simplify]: Extracting #7: cost 92 inf + 20647 53.704 * * [simplify]: Extracting #8: cost 28 inf + 43774 53.730 * * [simplify]: Extracting #9: cost 6 inf + 55356 53.754 * * [simplify]: Extracting #10: cost 0 inf + 58951 53.778 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 53.779 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))))) 53.779 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 53.779 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 53.779 * * [simplify]: iters left: 6 (23 enodes) 53.791 * * [simplify]: iters left: 5 (95 enodes) 53.821 * * [simplify]: iters left: 4 (188 enodes) 53.869 * * [simplify]: Extracting #0: cost 1 inf + 0 53.869 * * [simplify]: Extracting #1: cost 19 inf + 0 53.869 * * [simplify]: Extracting #2: cost 61 inf + 0 53.869 * * [simplify]: Extracting #3: cost 66 inf + 286 53.870 * * [simplify]: Extracting #4: cost 72 inf + 468 53.870 * * [simplify]: Extracting #5: cost 125 inf + 470 53.871 * * [simplify]: Extracting #6: cost 176 inf + 1922 53.874 * * [simplify]: Extracting #7: cost 89 inf + 22073 53.882 * * [simplify]: Extracting #8: cost 15 inf + 48533 53.893 * * [simplify]: Extracting #9: cost 0 inf + 56681 53.911 * * [simplify]: Extracting #10: cost 0 inf + 56602 53.933 * [simplify]: Simplified to (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 53.933 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 53.933 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 53.933 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 53.934 * * [simplify]: iters left: 6 (23 enodes) 53.946 * * [simplify]: iters left: 5 (95 enodes) 53.983 * * [simplify]: iters left: 4 (192 enodes) 54.065 * * [simplify]: Extracting #0: cost 1 inf + 0 54.065 * * [simplify]: Extracting #1: cost 23 inf + 0 54.065 * * [simplify]: Extracting #2: cost 66 inf + 0 54.066 * * [simplify]: Extracting #3: cost 68 inf + 73 54.066 * * [simplify]: Extracting #4: cost 68 inf + 650 54.067 * * [simplify]: Extracting #5: cost 123 inf + 651 54.068 * * [simplify]: Extracting #6: cost 176 inf + 1876 54.075 * * [simplify]: Extracting #7: cost 85 inf + 22440 54.089 * * [simplify]: Extracting #8: cost 42 inf + 34197 54.113 * * [simplify]: Extracting #9: cost 7 inf + 54296 54.132 * * [simplify]: Extracting #10: cost 0 inf + 58808 54.144 * [simplify]: Simplified to (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))) 54.144 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))))) 54.144 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 54.145 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 54.145 * * [simplify]: iters left: 6 (23 enodes) 54.151 * * [simplify]: iters left: 5 (95 enodes) 54.167 * * [simplify]: iters left: 4 (186 enodes) 54.236 * * [simplify]: Extracting #0: cost 1 inf + 0 54.237 * * [simplify]: Extracting #1: cost 23 inf + 0 54.237 * * [simplify]: Extracting #2: cost 61 inf + 0 54.237 * * [simplify]: Extracting #3: cost 65 inf + 73 54.237 * * [simplify]: Extracting #4: cost 67 inf + 286 54.237 * * [simplify]: Extracting #5: cost 122 inf + 287 54.238 * * [simplify]: Extracting #6: cost 171 inf + 1780 54.242 * * [simplify]: Extracting #7: cost 83 inf + 21592 54.249 * * [simplify]: Extracting #8: cost 29 inf + 40490 54.264 * * [simplify]: Extracting #9: cost 3 inf + 55550 54.288 * * [simplify]: Extracting #10: cost 0 inf + 56879 54.311 * [simplify]: Simplified to (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) 54.312 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))) 54.312 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 54.312 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 54.313 * * [simplify]: iters left: 6 (24 enodes) 54.325 * * [simplify]: iters left: 5 (97 enodes) 54.344 * * [simplify]: iters left: 4 (191 enodes) 54.407 * * [simplify]: Extracting #0: cost 1 inf + 0 54.407 * * [simplify]: Extracting #1: cost 24 inf + 0 54.408 * * [simplify]: Extracting #2: cost 65 inf + 0 54.408 * * [simplify]: Extracting #3: cost 69 inf + 2 54.408 * * [simplify]: Extracting #4: cost 70 inf + 397 54.408 * * [simplify]: Extracting #5: cost 122 inf + 651 54.409 * * [simplify]: Extracting #6: cost 176 inf + 1835 54.412 * * [simplify]: Extracting #7: cost 87 inf + 22301 54.423 * * [simplify]: Extracting #8: cost 11 inf + 53118 54.440 * * [simplify]: Extracting #9: cost 0 inf + 58415 54.453 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) 54.453 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 54.453 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 54.453 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 54.454 * * [simplify]: iters left: 6 (23 enodes) 54.460 * * [simplify]: iters left: 5 (95 enodes) 54.476 * * [simplify]: iters left: 4 (184 enodes) 54.521 * * [simplify]: Extracting #0: cost 1 inf + 0 54.521 * * [simplify]: Extracting #1: cost 22 inf + 0 54.521 * * [simplify]: Extracting #2: cost 59 inf + 0 54.522 * * [simplify]: Extracting #3: cost 64 inf + 73 54.522 * * [simplify]: Extracting #4: cost 66 inf + 286 54.522 * * [simplify]: Extracting #5: cost 121 inf + 287 54.523 * * [simplify]: Extracting #6: cost 170 inf + 2184 54.528 * * [simplify]: Extracting #7: cost 77 inf + 22979 54.538 * * [simplify]: Extracting #8: cost 20 inf + 45043 54.550 * * [simplify]: Extracting #9: cost 1 inf + 54885 54.561 * * [simplify]: Extracting #10: cost 0 inf + 55217 54.582 * [simplify]: Simplified to (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) 54.582 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) 54.583 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 54.583 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 54.583 * * [simplify]: iters left: 6 (22 enodes) 54.595 * * [simplify]: iters left: 5 (93 enodes) 54.626 * * [simplify]: iters left: 4 (185 enodes) 54.674 * * [simplify]: Extracting #0: cost 1 inf + 0 54.674 * * [simplify]: Extracting #1: cost 19 inf + 0 54.674 * * [simplify]: Extracting #2: cost 55 inf + 0 54.674 * * [simplify]: Extracting #3: cost 63 inf + 73 54.675 * * [simplify]: Extracting #4: cost 67 inf + 286 54.675 * * [simplify]: Extracting #5: cost 120 inf + 288 54.676 * * [simplify]: Extracting #6: cost 171 inf + 2123 54.679 * * [simplify]: Extracting #7: cost 94 inf + 19079 54.687 * * [simplify]: Extracting #8: cost 12 inf + 46184 54.697 * * [simplify]: Extracting #9: cost 0 inf + 52414 54.707 * * [simplify]: Extracting #10: cost 0 inf + 52213 54.719 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))) 54.720 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))))) 54.720 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 54.720 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 54.720 * * * * [progress]: [ 24 / 95 ] simplifiying candidate # 54.720 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J)))) 54.720 * * [simplify]: iters left: 6 (25 enodes) 54.728 * * [simplify]: iters left: 5 (108 enodes) 54.752 * * [simplify]: iters left: 4 (295 enodes) 54.923 * * [simplify]: Extracting #0: cost 1 inf + 0 54.923 * * [simplify]: Extracting #1: cost 58 inf + 0 54.924 * * [simplify]: Extracting #2: cost 293 inf + 4 54.925 * * [simplify]: Extracting #3: cost 395 inf + 47 54.931 * * [simplify]: Extracting #4: cost 343 inf + 25407 54.965 * * [simplify]: Extracting #5: cost 95 inf + 112182 55.023 * * [simplify]: Extracting #6: cost 3 inf + 153113 55.077 * * [simplify]: Extracting #7: cost 0 inf + 154392 55.127 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))) 55.128 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))))) 55.128 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 55.128 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 55.129 * * [simplify]: iters left: 6 (26 enodes) 55.144 * * [simplify]: iters left: 5 (118 enodes) 55.194 * * [simplify]: iters left: 4 (349 enodes) 55.442 * * [simplify]: Extracting #0: cost 1 inf + 0 55.443 * * [simplify]: Extracting #1: cost 77 inf + 0 55.445 * * [simplify]: Extracting #2: cost 374 inf + 4 55.448 * * [simplify]: Extracting #3: cost 494 inf + 128 55.457 * * [simplify]: Extracting #4: cost 426 inf + 35116 55.498 * * [simplify]: Extracting #5: cost 118 inf + 153445 55.573 * * [simplify]: Extracting #6: cost 0 inf + 212922 55.682 * * [simplify]: Extracting #7: cost 0 inf + 212239 55.750 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))) 55.750 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))))) 55.750 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 55.751 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 55.751 * * [simplify]: iters left: 6 (28 enodes) 55.766 * * [simplify]: iters left: 5 (125 enodes) 55.799 * * [simplify]: iters left: 4 (357 enodes) 56.100 * * [simplify]: Extracting #0: cost 1 inf + 0 56.101 * * [simplify]: Extracting #1: cost 102 inf + 0 56.102 * * [simplify]: Extracting #2: cost 482 inf + 126 56.104 * * [simplify]: Extracting #3: cost 618 inf + 617 56.109 * * [simplify]: Extracting #4: cost 697 inf + 1504 56.124 * * [simplify]: Extracting #5: cost 458 inf + 58486 56.177 * * [simplify]: Extracting #6: cost 132 inf + 185696 56.269 * * [simplify]: Extracting #7: cost 2 inf + 255257 56.371 * * [simplify]: Extracting #8: cost 0 inf + 256509 56.453 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)) 56.453 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)))) 56.453 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 56.454 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 56.454 * * [simplify]: iters left: 6 (28 enodes) 56.463 * * [simplify]: iters left: 5 (131 enodes) 56.508 * * [simplify]: iters left: 4 (402 enodes) 56.887 * * [simplify]: Extracting #0: cost 1 inf + 0 56.887 * * [simplify]: Extracting #1: cost 110 inf + 0 56.889 * * [simplify]: Extracting #2: cost 514 inf + 4 56.892 * * [simplify]: Extracting #3: cost 647 inf + 129 56.895 * * [simplify]: Extracting #4: cost 727 inf + 944 56.903 * * [simplify]: Extracting #5: cost 556 inf + 39689 56.953 * * [simplify]: Extracting #6: cost 122 inf + 208807 57.067 * * [simplify]: Extracting #7: cost 0 inf + 269273 57.171 * * [simplify]: Extracting #8: cost 0 inf + 269233 57.265 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 57.265 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 57.266 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 57.266 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 57.266 * * [simplify]: iters left: 6 (26 enodes) 57.274 * * [simplify]: iters left: 5 (118 enodes) 57.320 * * [simplify]: iters left: 4 (379 enodes) 57.649 * * [simplify]: Extracting #0: cost 1 inf + 0 57.649 * * [simplify]: Extracting #1: cost 84 inf + 0 57.652 * * [simplify]: Extracting #2: cost 460 inf + 45 57.656 * * [simplify]: Extracting #3: cost 579 inf + 88 57.659 * * [simplify]: Extracting #4: cost 633 inf + 553 57.667 * * [simplify]: Extracting #5: cost 493 inf + 38756 57.700 * * [simplify]: Extracting #6: cost 296 inf + 110532 57.766 * * [simplify]: Extracting #7: cost 122 inf + 201381 57.879 * * [simplify]: Extracting #8: cost 1 inf + 278543 58.022 * * [simplify]: Extracting #9: cost 0 inf + 279329 58.117 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) 58.117 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) 58.118 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 58.118 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J)))) 58.118 * * [simplify]: iters left: 6 (23 enodes) 58.125 * * [simplify]: iters left: 5 (108 enodes) 58.152 * * [simplify]: iters left: 4 (276 enodes) 58.281 * * [simplify]: Extracting #0: cost 1 inf + 0 58.281 * * [simplify]: Extracting #1: cost 50 inf + 0 58.283 * * [simplify]: Extracting #2: cost 244 inf + 2 58.285 * * [simplify]: Extracting #3: cost 249 inf + 976 58.287 * * [simplify]: Extracting #4: cost 282 inf + 2844 58.309 * * [simplify]: Extracting #5: cost 241 inf + 39933 58.347 * * [simplify]: Extracting #6: cost 58 inf + 112943 58.387 * * [simplify]: Extracting #7: cost 0 inf + 129175 58.453 * * [simplify]: Extracting #8: cost 0 inf + 128032 58.494 * * [simplify]: Extracting #9: cost 0 inf + 127991 58.533 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)) 58.533 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)))) 58.533 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 58.533 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 58.533 * * [simplify]: iters left: 6 (24 enodes) 58.544 * * [simplify]: iters left: 5 (118 enodes) 58.582 * * [simplify]: iters left: 4 (331 enodes) 58.731 * * [simplify]: Extracting #0: cost 1 inf + 0 58.731 * * [simplify]: Extracting #1: cost 69 inf + 0 58.733 * * [simplify]: Extracting #2: cost 331 inf + 43 58.735 * * [simplify]: Extracting #3: cost 350 inf + 249 58.741 * * [simplify]: Extracting #4: cost 384 inf + 2295 58.756 * * [simplify]: Extracting #5: cost 277 inf + 71659 58.824 * * [simplify]: Extracting #6: cost 25 inf + 178091 58.893 * * [simplify]: Extracting #7: cost 0 inf + 186746 58.979 * * [simplify]: Extracting #8: cost 0 inf + 186706 59.041 * [simplify]: Simplified to (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) 59.042 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))))) 59.042 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 59.042 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 59.042 * * [simplify]: iters left: 6 (26 enodes) 59.051 * * [simplify]: iters left: 5 (125 enodes) 59.091 * * [simplify]: iters left: 4 (334 enodes) 59.255 * * [simplify]: Extracting #0: cost 1 inf + 0 59.255 * * [simplify]: Extracting #1: cost 76 inf + 0 59.256 * * [simplify]: Extracting #2: cost 393 inf + 124 59.259 * * [simplify]: Extracting #3: cost 430 inf + 372 59.263 * * [simplify]: Extracting #4: cost 482 inf + 1030 59.293 * * [simplify]: Extracting #5: cost 359 inf + 78270 59.395 * * [simplify]: Extracting #6: cost 13 inf + 215453 59.450 * * [simplify]: Extracting #7: cost 0 inf + 219842 59.525 * * [simplify]: Extracting #8: cost 0 inf + 219802 59.608 * [simplify]: Simplified to (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 59.608 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) 59.608 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 59.609 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 59.609 * * [simplify]: iters left: 6 (26 enodes) 59.617 * * [simplify]: iters left: 5 (131 enodes) 59.647 * * [simplify]: iters left: 4 (380 enodes) 59.831 * * [simplify]: Extracting #0: cost 1 inf + 0 59.831 * * [simplify]: Extracting #1: cost 84 inf + 0 59.834 * * [simplify]: Extracting #2: cost 413 inf + 43 59.838 * * [simplify]: Extracting #3: cost 439 inf + 462 59.842 * * [simplify]: Extracting #4: cost 490 inf + 652 59.874 * * [simplify]: Extracting #5: cost 400 inf + 66248 59.957 * * [simplify]: Extracting #6: cost 19 inf + 227318 60.056 * * [simplify]: Extracting #7: cost 0 inf + 232690 60.145 * * [simplify]: Extracting #8: cost 0 inf + 231088 60.243 * * [simplify]: Extracting #9: cost 0 inf + 230928 60.360 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 60.360 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))))) 60.360 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 60.361 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 60.361 * * [simplify]: iters left: 6 (24 enodes) 60.375 * * [simplify]: iters left: 5 (118 enodes) 60.419 * * [simplify]: iters left: 4 (363 enodes) 60.678 * * [simplify]: Extracting #0: cost 1 inf + 0 60.678 * * [simplify]: Extracting #1: cost 74 inf + 0 60.679 * * [simplify]: Extracting #2: cost 401 inf + 43 60.681 * * [simplify]: Extracting #3: cost 413 inf + 87 60.685 * * [simplify]: Extracting #4: cost 465 inf + 301 60.711 * * [simplify]: Extracting #5: cost 350 inf + 75376 60.825 * * [simplify]: Extracting #6: cost 25 inf + 235291 60.968 * * [simplify]: Extracting #7: cost 0 inf + 243902 61.073 * * [simplify]: Extracting #8: cost 0 inf + 243781 61.207 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))) 61.207 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))))) 61.207 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 61.207 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 61.207 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 61.207 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 61.208 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 61.208 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) J) 61.208 * * [simplify]: iters left: 6 (7 enodes) 61.212 * * [simplify]: iters left: 5 (22 enodes) 61.219 * * [simplify]: Extracting #0: cost 1 inf + 0 61.219 * * [simplify]: Extracting #1: cost 4 inf + 0 61.219 * * [simplify]: Extracting #2: cost 5 inf + 1 61.219 * * [simplify]: Extracting #3: cost 7 inf + 1 61.219 * * [simplify]: Extracting #4: cost 10 inf + 1 61.219 * * [simplify]: Extracting #5: cost 8 inf + 3 61.220 * * [simplify]: Extracting #6: cost 1 inf + 878 61.220 * * [simplify]: Extracting #7: cost 0 inf + 1101 61.220 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) J) 61.220 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J))) 61.220 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 61.221 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 61.221 * * [simplify]: iters left: 6 (13 enodes) 61.228 * * [simplify]: iters left: 5 (52 enodes) 61.248 * * [simplify]: iters left: 4 (105 enodes) 61.275 * * [simplify]: iters left: 3 (359 enodes) 61.524 * * [simplify]: Extracting #0: cost 1 inf + 0 61.524 * * [simplify]: Extracting #1: cost 3 inf + 0 61.524 * * [simplify]: Extracting #2: cost 6 inf + 0 61.525 * * [simplify]: Extracting #3: cost 118 inf + 1 61.527 * * [simplify]: Extracting #4: cost 235 inf + 336 61.530 * * [simplify]: Extracting #5: cost 193 inf + 4402 61.538 * * [simplify]: Extracting #6: cost 119 inf + 19348 61.557 * * [simplify]: Extracting #7: cost 7 inf + 46040 61.574 * * [simplify]: Extracting #8: cost 0 inf + 47488 61.592 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 61.592 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) 61.593 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 61.593 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 61.593 * * [simplify]: iters left: 6 (23 enodes) 61.607 * * [simplify]: iters left: 5 (103 enodes) 61.631 * * [simplify]: iters left: 4 (262 enodes) 61.776 * * [simplify]: Extracting #0: cost 1 inf + 0 61.776 * * [simplify]: Extracting #1: cost 25 inf + 0 61.776 * * [simplify]: Extracting #2: cost 65 inf + 2 61.776 * * [simplify]: Extracting #3: cost 69 inf + 87 61.777 * * [simplify]: Extracting #4: cost 167 inf + 88 61.778 * * [simplify]: Extracting #5: cost 373 inf + 1170 61.784 * * [simplify]: Extracting #6: cost 285 inf + 43405 61.821 * * [simplify]: Extracting #7: cost 17 inf + 136414 61.893 * * [simplify]: Extracting #8: cost 0 inf + 142053 61.943 * * [simplify]: Extracting #9: cost 0 inf + 141884 62.002 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 62.002 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 62.003 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 62.003 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 62.004 * * [simplify]: iters left: 6 (22 enodes) 62.013 * * [simplify]: iters left: 5 (95 enodes) 62.032 * * [simplify]: iters left: 4 (237 enodes) 62.203 * * [simplify]: Extracting #0: cost 1 inf + 0 62.204 * * [simplify]: Extracting #1: cost 25 inf + 0 62.204 * * [simplify]: Extracting #2: cost 65 inf + 2 62.204 * * [simplify]: Extracting #3: cost 72 inf + 87 62.204 * * [simplify]: Extracting #4: cost 168 inf + 89 62.206 * * [simplify]: Extracting #5: cost 346 inf + 1339 62.214 * * [simplify]: Extracting #6: cost 175 inf + 52242 62.239 * * [simplify]: Extracting #7: cost 13 inf + 107545 62.266 * * [simplify]: Extracting #8: cost 0 inf + 112935 62.317 * [simplify]: Simplified to (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) 62.318 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 62.318 * * * * [progress]: [ 42 / 95 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))))> 62.318 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 62.318 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 62.318 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 62.318 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 62.318 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 62.319 * * * * [progress]: [ 48 / 95 ] simplifiying candidate # 62.319 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 62.319 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 62.319 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 62.319 * * [simplify]: iters left: 6 (15 enodes) 62.327 * * [simplify]: iters left: 5 (59 enodes) 62.347 * * [simplify]: iters left: 4 (112 enodes) 62.398 * * [simplify]: iters left: 3 (365 enodes) 62.644 * * [simplify]: Extracting #0: cost 1 inf + 0 62.644 * * [simplify]: Extracting #1: cost 4 inf + 0 62.644 * * [simplify]: Extracting #2: cost 7 inf + 0 62.645 * * [simplify]: Extracting #3: cost 10 inf + 0 62.645 * * [simplify]: Extracting #4: cost 122 inf + 1 62.647 * * [simplify]: Extracting #5: cost 241 inf + 89 62.651 * * [simplify]: Extracting #6: cost 203 inf + 3666 62.658 * * [simplify]: Extracting #7: cost 128 inf + 17960 62.681 * * [simplify]: Extracting #8: cost 13 inf + 45848 62.702 * * [simplify]: Extracting #9: cost 0 inf + 48961 62.720 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 62.720 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 62.720 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 62.720 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 62.720 * * [simplify]: iters left: 6 (14 enodes) 62.727 * * [simplify]: iters left: 5 (55 enodes) 62.746 * * [simplify]: iters left: 4 (108 enodes) 62.785 * * [simplify]: iters left: 3 (363 enodes) 63.010 * * [simplify]: Extracting #0: cost 1 inf + 0 63.010 * * [simplify]: Extracting #1: cost 3 inf + 0 63.010 * * [simplify]: Extracting #2: cost 5 inf + 0 63.010 * * [simplify]: Extracting #3: cost 8 inf + 0 63.010 * * [simplify]: Extracting #4: cost 123 inf + 1 63.011 * * [simplify]: Extracting #5: cost 234 inf + 420 63.013 * * [simplify]: Extracting #6: cost 203 inf + 3175 63.017 * * [simplify]: Extracting #7: cost 127 inf + 18949 63.033 * * [simplify]: Extracting #8: cost 7 inf + 46860 63.063 * * [simplify]: Extracting #9: cost 0 inf + 48232 63.092 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 63.092 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.092 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 63.093 * [simplify]: Simplifying (sqrt 1) 63.093 * * [simplify]: iters left: 1 (2 enodes) 63.096 * * [simplify]: Extracting #0: cost 1 inf + 0 63.096 * * [simplify]: Extracting #1: cost 0 inf + 1 63.096 * [simplify]: Simplified to 1 63.096 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.096 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 63.097 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 63.097 * * [simplify]: iters left: 6 (16 enodes) 63.106 * * [simplify]: iters left: 5 (70 enodes) 63.134 * * [simplify]: iters left: 4 (176 enodes) 63.257 * * [simplify]: Extracting #0: cost 1 inf + 0 63.257 * * [simplify]: Extracting #1: cost 3 inf + 0 63.257 * * [simplify]: Extracting #2: cost 6 inf + 0 63.257 * * [simplify]: Extracting #3: cost 103 inf + 1 63.258 * * [simplify]: Extracting #4: cost 306 inf + 6 63.259 * * [simplify]: Extracting #5: cost 338 inf + 1810 63.263 * * [simplify]: Extracting #6: cost 242 inf + 27932 63.280 * * [simplify]: Extracting #7: cost 28 inf + 100762 63.325 * * [simplify]: Extracting #8: cost 0 inf + 110036 63.366 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 63.366 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.366 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 63.367 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 63.367 * * [simplify]: iters left: 6 (15 enodes) 63.371 * * [simplify]: iters left: 5 (62 enodes) 63.386 * * [simplify]: iters left: 4 (150 enodes) 63.522 * * [simplify]: Extracting #0: cost 1 inf + 0 63.522 * * [simplify]: Extracting #1: cost 3 inf + 0 63.522 * * [simplify]: Extracting #2: cost 9 inf + 0 63.523 * * [simplify]: Extracting #3: cost 105 inf + 2 63.524 * * [simplify]: Extracting #4: cost 286 inf + 6 63.526 * * [simplify]: Extracting #5: cost 280 inf + 1923 63.532 * * [simplify]: Extracting #6: cost 191 inf + 25190 63.546 * * [simplify]: Extracting #7: cost 26 inf + 76271 63.571 * * [simplify]: Extracting #8: cost 0 inf + 85028 63.610 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 63.610 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.611 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 63.611 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 63.611 * * [simplify]: iters left: 6 (12 enodes) 63.618 * * [simplify]: iters left: 5 (49 enodes) 63.635 * * [simplify]: iters left: 4 (102 enodes) 63.666 * * [simplify]: iters left: 3 (356 enodes) 63.912 * * [simplify]: Extracting #0: cost 1 inf + 0 63.912 * * [simplify]: Extracting #1: cost 4 inf + 0 63.913 * * [simplify]: Extracting #2: cost 116 inf + 1 63.915 * * [simplify]: Extracting #3: cost 234 inf + 254 63.918 * * [simplify]: Extracting #4: cost 192 inf + 4198 63.927 * * [simplify]: Extracting #5: cost 121 inf + 19235 63.953 * * [simplify]: Extracting #6: cost 5 inf + 46310 63.986 * * [simplify]: Extracting #7: cost 0 inf + 47117 64.015 * * [simplify]: Extracting #8: cost 0 inf + 46998 64.038 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 64.038 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 64.039 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 64.039 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 64.039 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 64.039 * * [simplify]: iters left: 6 (13 enodes) 64.043 * * [simplify]: iters left: 5 (52 enodes) 64.052 * * [simplify]: iters left: 4 (105 enodes) 64.091 * * [simplify]: iters left: 3 (359 enodes) 64.327 * * [simplify]: Extracting #0: cost 1 inf + 0 64.327 * * [simplify]: Extracting #1: cost 3 inf + 0 64.327 * * [simplify]: Extracting #2: cost 6 inf + 0 64.327 * * [simplify]: Extracting #3: cost 118 inf + 1 64.330 * * [simplify]: Extracting #4: cost 235 inf + 336 64.333 * * [simplify]: Extracting #5: cost 193 inf + 4402 64.341 * * [simplify]: Extracting #6: cost 119 inf + 19348 64.356 * * [simplify]: Extracting #7: cost 7 inf + 46040 64.371 * * [simplify]: Extracting #8: cost 0 inf + 47488 64.398 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 64.399 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 64.399 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 64.399 * * * * [progress]: [ 59 / 95 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))> 64.399 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 64.399 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 64.399 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 64.399 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 64.399 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 64.400 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 64.400 * * [simplify]: iters left: 6 (7 enodes) 64.404 * * [simplify]: iters left: 5 (21 enodes) 64.410 * * [simplify]: Extracting #0: cost 1 inf + 0 64.411 * * [simplify]: Extracting #1: cost 3 inf + 0 64.411 * * [simplify]: Extracting #2: cost 5 inf + 0 64.411 * * [simplify]: Extracting #3: cost 7 inf + 0 64.411 * * [simplify]: Extracting #4: cost 9 inf + 0 64.411 * * [simplify]: Extracting #5: cost 12 inf + 0 64.411 * * [simplify]: Extracting #6: cost 10 inf + 2 64.411 * * [simplify]: Extracting #7: cost 1 inf + 1400 64.412 * * [simplify]: Extracting #8: cost 0 inf + 1702 64.412 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 64.412 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J)))) 64.412 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 64.413 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 64.413 * * [simplify]: iters left: 5 (6 enodes) 64.416 * * [simplify]: iters left: 4 (18 enodes) 64.422 * * [simplify]: Extracting #0: cost 1 inf + 0 64.422 * * [simplify]: Extracting #1: cost 3 inf + 0 64.422 * * [simplify]: Extracting #2: cost 5 inf + 0 64.422 * * [simplify]: Extracting #3: cost 7 inf + 0 64.422 * * [simplify]: Extracting #4: cost 10 inf + 0 64.422 * * [simplify]: Extracting #5: cost 8 inf + 2 64.422 * * [simplify]: Extracting #6: cost 0 inf + 1018 64.422 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 64.423 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) J)))) 64.423 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 64.423 * [simplify]: Simplifying (cbrt 1) 64.423 * * [simplify]: iters left: 1 (2 enodes) 64.427 * * [simplify]: Extracting #0: cost 1 inf + 0 64.427 * * [simplify]: Extracting #1: cost 0 inf + 1 64.427 * [simplify]: Simplified to 1 64.427 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* 1 (cbrt (cos (/ K 2)))) J)))) 64.427 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 64.427 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 64.427 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 64.427 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 64.427 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 64.427 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 64.428 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 64.428 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 64.428 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 64.428 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 64.428 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 64.428 * * [simplify]: iters left: 6 (7 enodes) 64.432 * * [simplify]: iters left: 5 (21 enodes) 64.438 * * [simplify]: Extracting #0: cost 1 inf + 0 64.439 * * [simplify]: Extracting #1: cost 3 inf + 0 64.439 * * [simplify]: Extracting #2: cost 5 inf + 0 64.439 * * [simplify]: Extracting #3: cost 7 inf + 0 64.439 * * [simplify]: Extracting #4: cost 9 inf + 0 64.439 * * [simplify]: Extracting #5: cost 12 inf + 0 64.439 * * [simplify]: Extracting #6: cost 10 inf + 2 64.439 * * [simplify]: Extracting #7: cost 1 inf + 1400 64.440 * * [simplify]: Extracting #8: cost 0 inf + 1702 64.440 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 64.440 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 64.440 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 64.441 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 64.441 * * [simplify]: iters left: 5 (6 enodes) 64.444 * * [simplify]: iters left: 4 (18 enodes) 64.449 * * [simplify]: Extracting #0: cost 1 inf + 0 64.449 * * [simplify]: Extracting #1: cost 3 inf + 0 64.449 * * [simplify]: Extracting #2: cost 5 inf + 0 64.449 * * [simplify]: Extracting #3: cost 7 inf + 0 64.449 * * [simplify]: Extracting #4: cost 10 inf + 0 64.450 * * [simplify]: Extracting #5: cost 8 inf + 2 64.450 * * [simplify]: Extracting #6: cost 0 inf + 1018 64.450 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 64.450 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 64.450 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 64.451 * [simplify]: Simplifying (cbrt 1) 64.451 * * [simplify]: iters left: 1 (2 enodes) 64.454 * * [simplify]: Extracting #0: cost 1 inf + 0 64.454 * * [simplify]: Extracting #1: cost 0 inf + 1 64.454 * [simplify]: Simplified to 1 64.454 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J)))) 64.454 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 64.454 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 64.454 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 64.454 * * * * [progress]: [ 82 / 95 ] simplifiying candidate # 64.455 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 64.455 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 64.455 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 64.455 * * [simplify]: iters left: 6 (10 enodes) 64.461 * * [simplify]: iters left: 5 (43 enodes) 64.476 * * [simplify]: iters left: 4 (79 enodes) 64.500 * * [simplify]: iters left: 3 (118 enodes) 64.534 * * [simplify]: iters left: 2 (171 enodes) 64.595 * * [simplify]: iters left: 1 (242 enodes) 64.654 * * [simplify]: Extracting #0: cost 1 inf + 0 64.654 * * [simplify]: Extracting #1: cost 6 inf + 0 64.655 * * [simplify]: Extracting #2: cost 41 inf + 0 64.655 * * [simplify]: Extracting #3: cost 56 inf + 213 64.657 * * [simplify]: Extracting #4: cost 20 inf + 2732 64.658 * * [simplify]: Extracting #5: cost 1 inf + 4576 64.660 * * [simplify]: Extracting #6: cost 0 inf + 4698 64.661 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 64.661 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 64.661 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 64.662 * [simplify]: Simplifying (* -1 U) 64.662 * * [simplify]: iters left: 2 (3 enodes) 64.663 * * [simplify]: iters left: 1 (11 enodes) 64.664 * * [simplify]: Extracting #0: cost 1 inf + 0 64.664 * * [simplify]: Extracting #1: cost 4 inf + 0 64.664 * * [simplify]: Extracting #2: cost 0 inf + 84 64.664 * [simplify]: Simplified to (- U) 64.664 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 64.664 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 64.665 * [simplify]: Simplifying (* -1 U) 64.665 * * [simplify]: iters left: 2 (3 enodes) 64.666 * * [simplify]: iters left: 1 (11 enodes) 64.667 * * [simplify]: Extracting #0: cost 1 inf + 0 64.667 * * [simplify]: Extracting #1: cost 4 inf + 0 64.667 * * [simplify]: Extracting #2: cost 0 inf + 84 64.667 * [simplify]: Simplified to (- U) 64.667 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 64.667 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 64.667 * [simplify]: Simplifying 1 64.667 * * [simplify]: iters left: 0 (1 enodes) 64.668 * * [simplify]: Extracting #0: cost 1 inf + 0 64.668 * * [simplify]: Extracting #1: cost 0 inf + 1 64.668 * [simplify]: Simplified to 1 64.668 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 64.668 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 64.668 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 64.668 * * [simplify]: iters left: 6 (9 enodes) 64.670 * * [simplify]: iters left: 5 (34 enodes) 64.676 * * [simplify]: iters left: 4 (56 enodes) 64.685 * * [simplify]: iters left: 3 (90 enodes) 64.698 * * [simplify]: iters left: 2 (114 enodes) 64.713 * * [simplify]: iters left: 1 (131 enodes) 64.748 * * [simplify]: Extracting #0: cost 1 inf + 0 64.748 * * [simplify]: Extracting #1: cost 22 inf + 0 64.748 * * [simplify]: Extracting #2: cost 37 inf + 3 64.749 * * [simplify]: Extracting #3: cost 31 inf + 380 64.750 * * [simplify]: Extracting #4: cost 17 inf + 1834 64.751 * * [simplify]: Extracting #5: cost 3 inf + 4117 64.753 * * [simplify]: Extracting #6: cost 0 inf + 4586 64.756 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 64.756 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 64.756 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 64.756 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 64.756 * * [simplify]: iters left: 6 (9 enodes) 64.761 * * [simplify]: iters left: 5 (34 enodes) 64.767 * * [simplify]: iters left: 4 (56 enodes) 64.775 * * [simplify]: iters left: 3 (90 enodes) 64.788 * * [simplify]: iters left: 2 (114 enodes) 64.809 * * [simplify]: iters left: 1 (131 enodes) 64.840 * * [simplify]: Extracting #0: cost 1 inf + 0 64.840 * * [simplify]: Extracting #1: cost 22 inf + 0 64.840 * * [simplify]: Extracting #2: cost 37 inf + 3 64.840 * * [simplify]: Extracting #3: cost 31 inf + 380 64.840 * * [simplify]: Extracting #4: cost 17 inf + 1834 64.841 * * [simplify]: Extracting #5: cost 3 inf + 4117 64.842 * * [simplify]: Extracting #6: cost 0 inf + 4586 64.843 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 64.843 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 64.844 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 64.844 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 64.844 * * [simplify]: iters left: 6 (12 enodes) 64.849 * * [simplify]: iters left: 5 (52 enodes) 64.861 * * [simplify]: iters left: 4 (73 enodes) 64.883 * * [simplify]: iters left: 3 (117 enodes) 64.902 * * [simplify]: iters left: 2 (156 enodes) 64.937 * * [simplify]: iters left: 1 (207 enodes) 65.002 * * [simplify]: Extracting #0: cost 1 inf + 0 65.002 * * [simplify]: Extracting #1: cost 18 inf + 0 65.002 * * [simplify]: Extracting #2: cost 39 inf + 2 65.003 * * [simplify]: Extracting #3: cost 43 inf + 213 65.004 * * [simplify]: Extracting #4: cost 14 inf + 3555 65.007 * * [simplify]: Extracting #5: cost 0 inf + 5789 65.010 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 65.010 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) J)))) 65.011 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 65.011 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 65.011 * * [simplify]: iters left: 4 (6 enodes) 65.015 * * [simplify]: iters left: 3 (25 enodes) 65.025 * * [simplify]: iters left: 2 (39 enodes) 65.039 * * [simplify]: iters left: 1 (69 enodes) 65.056 * * [simplify]: Extracting #0: cost 1 inf + 0 65.056 * * [simplify]: Extracting #1: cost 9 inf + 0 65.056 * * [simplify]: Extracting #2: cost 23 inf + 1 65.056 * * [simplify]: Extracting #3: cost 23 inf + 5 65.056 * * [simplify]: Extracting #4: cost 20 inf + 8 65.057 * * [simplify]: Extracting #5: cost 9 inf + 2778 65.057 * * [simplify]: Extracting #6: cost 0 inf + 6930 65.058 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 65.058 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 65.058 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 65.058 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 65.058 * * [simplify]: iters left: 4 (6 enodes) 65.061 * * [simplify]: iters left: 3 (25 enodes) 65.066 * * [simplify]: iters left: 2 (39 enodes) 65.075 * * [simplify]: iters left: 1 (69 enodes) 65.098 * * [simplify]: Extracting #0: cost 1 inf + 0 65.098 * * [simplify]: Extracting #1: cost 9 inf + 0 65.098 * * [simplify]: Extracting #2: cost 23 inf + 1 65.098 * * [simplify]: Extracting #3: cost 23 inf + 5 65.098 * * [simplify]: Extracting #4: cost 20 inf + 8 65.099 * * [simplify]: Extracting #5: cost 9 inf + 2778 65.100 * * [simplify]: Extracting #6: cost 0 inf + 6930 65.101 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 65.101 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 65.101 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 65.102 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 65.102 * * [simplify]: iters left: 6 (12 enodes) 65.110 * * [simplify]: iters left: 5 (52 enodes) 65.128 * * [simplify]: iters left: 4 (73 enodes) 65.151 * * [simplify]: iters left: 3 (117 enodes) 65.191 * * [simplify]: iters left: 2 (156 enodes) 65.217 * * [simplify]: iters left: 1 (207 enodes) 65.274 * * [simplify]: Extracting #0: cost 1 inf + 0 65.274 * * [simplify]: Extracting #1: cost 18 inf + 0 65.275 * * [simplify]: Extracting #2: cost 39 inf + 2 65.275 * * [simplify]: Extracting #3: cost 43 inf + 213 65.277 * * [simplify]: Extracting #4: cost 14 inf + 3555 65.279 * * [simplify]: Extracting #5: cost 0 inf + 5789 65.282 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 65.282 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))) (* (cbrt (cos (/ K 2))) J)))) 65.282 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 65.282 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 65.282 * * [simplify]: iters left: 4 (6 enodes) 65.285 * * [simplify]: iters left: 3 (25 enodes) 65.293 * * [simplify]: iters left: 2 (39 enodes) 65.302 * * [simplify]: iters left: 1 (69 enodes) 65.315 * * [simplify]: Extracting #0: cost 1 inf + 0 65.315 * * [simplify]: Extracting #1: cost 9 inf + 0 65.315 * * [simplify]: Extracting #2: cost 23 inf + 1 65.315 * * [simplify]: Extracting #3: cost 23 inf + 5 65.315 * * [simplify]: Extracting #4: cost 20 inf + 8 65.315 * * [simplify]: Extracting #5: cost 9 inf + 2778 65.316 * * [simplify]: Extracting #6: cost 0 inf + 6930 65.316 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 65.317 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 65.317 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 65.317 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 65.317 * * [simplify]: iters left: 4 (6 enodes) 65.319 * * [simplify]: iters left: 3 (25 enodes) 65.327 * * [simplify]: iters left: 2 (39 enodes) 65.343 * * [simplify]: iters left: 1 (69 enodes) 65.367 * * [simplify]: Extracting #0: cost 1 inf + 0 65.367 * * [simplify]: Extracting #1: cost 9 inf + 0 65.368 * * [simplify]: Extracting #2: cost 23 inf + 1 65.368 * * [simplify]: Extracting #3: cost 23 inf + 5 65.368 * * [simplify]: Extracting #4: cost 20 inf + 8 65.368 * * [simplify]: Extracting #5: cost 9 inf + 2778 65.370 * * [simplify]: Extracting #6: cost 0 inf + 6930 65.371 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 65.371 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 65.371 * * * [progress]: adding candidates to table 66.694 * * [progress]: iteration 3 / 4 66.694 * * * [progress]: picking best candidate 66.758 * * * * [pick]: Picked # 66.758 * * * [progress]: localizing error 66.811 * * * [progress]: generating rewritten candidates 66.811 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 67.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 67.427 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1) 67.428 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 67.430 * * * [progress]: generating series expansions 67.430 * * * * [progress]: [ 1 / 4 ] generating series at (2) 67.430 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 67.430 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 67.430 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 67.430 * [taylor]: Taking taylor expansion of -2 in J 67.430 * [backup-simplify]: Simplify -2 into -2 67.430 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 67.430 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 67.430 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 67.430 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 67.430 * [taylor]: Taking taylor expansion of 1/2 in J 67.430 * [backup-simplify]: Simplify 1/2 into 1/2 67.430 * [taylor]: Taking taylor expansion of K in J 67.430 * [backup-simplify]: Simplify K into K 67.430 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.431 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.431 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.431 * [taylor]: Taking taylor expansion of J in J 67.431 * [backup-simplify]: Simplify 0 into 0 67.431 * [backup-simplify]: Simplify 1 into 1 67.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 67.431 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 67.431 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 67.431 * [taylor]: Taking taylor expansion of 1/4 in J 67.431 * [backup-simplify]: Simplify 1/4 into 1/4 67.431 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 67.431 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.431 * [taylor]: Taking taylor expansion of U in J 67.431 * [backup-simplify]: Simplify U into U 67.431 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 67.431 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 67.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 67.431 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 67.431 * [taylor]: Taking taylor expansion of 1/2 in J 67.431 * [backup-simplify]: Simplify 1/2 into 1/2 67.431 * [taylor]: Taking taylor expansion of K in J 67.431 * [backup-simplify]: Simplify K into K 67.431 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.431 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.431 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.431 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.432 * [backup-simplify]: Simplify (- 0) into 0 67.432 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.432 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.432 * [taylor]: Taking taylor expansion of J in J 67.432 * [backup-simplify]: Simplify 0 into 0 67.432 * [backup-simplify]: Simplify 1 into 1 67.432 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.432 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.432 * [backup-simplify]: Simplify (* 1 1) into 1 67.432 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 67.432 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 67.432 * [taylor]: Taking taylor expansion of 1 in J 67.432 * [backup-simplify]: Simplify 1 into 1 67.433 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.433 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.433 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 67.433 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.434 * [backup-simplify]: Simplify (+ 0) into 0 67.434 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.435 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.435 * [backup-simplify]: Simplify (- 0) into 0 67.436 * [backup-simplify]: Simplify (+ 0 0) into 0 67.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.436 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 67.436 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 67.437 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 67.437 * [backup-simplify]: Simplify (+ 0 0) into 0 67.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 67.437 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 67.437 * [taylor]: Taking taylor expansion of -2 in K 67.437 * [backup-simplify]: Simplify -2 into -2 67.437 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 67.437 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 67.437 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.437 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.437 * [taylor]: Taking taylor expansion of 1/2 in K 67.437 * [backup-simplify]: Simplify 1/2 into 1/2 67.437 * [taylor]: Taking taylor expansion of K in K 67.438 * [backup-simplify]: Simplify 0 into 0 67.438 * [backup-simplify]: Simplify 1 into 1 67.438 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.439 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.439 * [taylor]: Taking taylor expansion of J in K 67.439 * [backup-simplify]: Simplify J into J 67.439 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 67.439 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 67.439 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 67.439 * [taylor]: Taking taylor expansion of 1/4 in K 67.439 * [backup-simplify]: Simplify 1/4 into 1/4 67.439 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.439 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.439 * [taylor]: Taking taylor expansion of U in K 67.439 * [backup-simplify]: Simplify U into U 67.439 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.439 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.439 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.439 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.439 * [taylor]: Taking taylor expansion of 1/2 in K 67.439 * [backup-simplify]: Simplify 1/2 into 1/2 67.439 * [taylor]: Taking taylor expansion of K in K 67.439 * [backup-simplify]: Simplify 0 into 0 67.439 * [backup-simplify]: Simplify 1 into 1 67.440 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.440 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.440 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.441 * [taylor]: Taking taylor expansion of J in K 67.441 * [backup-simplify]: Simplify J into J 67.441 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.441 * [backup-simplify]: Simplify (* 1 1) into 1 67.441 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.441 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.441 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 67.441 * [taylor]: Taking taylor expansion of 1 in K 67.441 * [backup-simplify]: Simplify 1 into 1 67.441 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 67.442 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 67.442 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 67.442 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.442 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.443 * [backup-simplify]: Simplify (+ 0) into 0 67.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.444 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 67.445 * [backup-simplify]: Simplify (+ 0 0) into 0 67.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 67.445 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 67.445 * [taylor]: Taking taylor expansion of -2 in U 67.445 * [backup-simplify]: Simplify -2 into -2 67.445 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 67.445 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 67.445 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.445 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.445 * [taylor]: Taking taylor expansion of 1/2 in U 67.445 * [backup-simplify]: Simplify 1/2 into 1/2 67.446 * [taylor]: Taking taylor expansion of K in U 67.446 * [backup-simplify]: Simplify K into K 67.446 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.446 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.446 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.446 * [taylor]: Taking taylor expansion of J in U 67.446 * [backup-simplify]: Simplify J into J 67.446 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.446 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.446 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.446 * [taylor]: Taking taylor expansion of 1/4 in U 67.446 * [backup-simplify]: Simplify 1/4 into 1/4 67.446 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.446 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.446 * [taylor]: Taking taylor expansion of U in U 67.446 * [backup-simplify]: Simplify 0 into 0 67.446 * [backup-simplify]: Simplify 1 into 1 67.446 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.446 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.446 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.446 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.446 * [taylor]: Taking taylor expansion of 1/2 in U 67.446 * [backup-simplify]: Simplify 1/2 into 1/2 67.446 * [taylor]: Taking taylor expansion of K in U 67.446 * [backup-simplify]: Simplify K into K 67.447 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.447 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.447 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.447 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.447 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.447 * [backup-simplify]: Simplify (- 0) into 0 67.447 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.448 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.448 * [taylor]: Taking taylor expansion of J in U 67.448 * [backup-simplify]: Simplify J into J 67.448 * [backup-simplify]: Simplify (* 1 1) into 1 67.448 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.448 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.448 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.448 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.449 * [taylor]: Taking taylor expansion of 1 in U 67.449 * [backup-simplify]: Simplify 1 into 1 67.449 * [backup-simplify]: Simplify (+ 0 1) into 1 67.449 * [backup-simplify]: Simplify (sqrt 1) into 1 67.450 * [backup-simplify]: Simplify (+ 0 0) into 0 67.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.450 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 67.451 * [taylor]: Taking taylor expansion of -2 in U 67.451 * [backup-simplify]: Simplify -2 into -2 67.451 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 67.451 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 67.451 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.451 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.451 * [taylor]: Taking taylor expansion of 1/2 in U 67.451 * [backup-simplify]: Simplify 1/2 into 1/2 67.451 * [taylor]: Taking taylor expansion of K in U 67.451 * [backup-simplify]: Simplify K into K 67.451 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.451 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.451 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.451 * [taylor]: Taking taylor expansion of J in U 67.451 * [backup-simplify]: Simplify J into J 67.451 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.451 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.451 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.451 * [taylor]: Taking taylor expansion of 1/4 in U 67.451 * [backup-simplify]: Simplify 1/4 into 1/4 67.451 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.451 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.451 * [taylor]: Taking taylor expansion of U in U 67.451 * [backup-simplify]: Simplify 0 into 0 67.451 * [backup-simplify]: Simplify 1 into 1 67.451 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.451 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.451 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.451 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.451 * [taylor]: Taking taylor expansion of 1/2 in U 67.451 * [backup-simplify]: Simplify 1/2 into 1/2 67.451 * [taylor]: Taking taylor expansion of K in U 67.451 * [backup-simplify]: Simplify K into K 67.452 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.452 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.452 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.452 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.452 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.452 * [backup-simplify]: Simplify (- 0) into 0 67.452 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.452 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.452 * [taylor]: Taking taylor expansion of J in U 67.452 * [backup-simplify]: Simplify J into J 67.453 * [backup-simplify]: Simplify (* 1 1) into 1 67.453 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.453 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.453 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.453 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.453 * [taylor]: Taking taylor expansion of 1 in U 67.453 * [backup-simplify]: Simplify 1 into 1 67.454 * [backup-simplify]: Simplify (+ 0 1) into 1 67.454 * [backup-simplify]: Simplify (sqrt 1) into 1 67.455 * [backup-simplify]: Simplify (+ 0 0) into 0 67.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.458 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.458 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.459 * [backup-simplify]: Simplify (- 0) into 0 67.459 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.459 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 67.459 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 67.459 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 67.459 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 67.459 * [taylor]: Taking taylor expansion of -2 in K 67.459 * [backup-simplify]: Simplify -2 into -2 67.459 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 67.459 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.459 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.459 * [taylor]: Taking taylor expansion of 1/2 in K 67.459 * [backup-simplify]: Simplify 1/2 into 1/2 67.459 * [taylor]: Taking taylor expansion of K in K 67.459 * [backup-simplify]: Simplify 0 into 0 67.459 * [backup-simplify]: Simplify 1 into 1 67.460 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.461 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.461 * [taylor]: Taking taylor expansion of J in K 67.461 * [backup-simplify]: Simplify J into J 67.461 * [backup-simplify]: Simplify (* 1 J) into J 67.461 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 67.461 * [taylor]: Taking taylor expansion of (* -2 J) in J 67.461 * [taylor]: Taking taylor expansion of -2 in J 67.461 * [backup-simplify]: Simplify -2 into -2 67.461 * [taylor]: Taking taylor expansion of J in J 67.461 * [backup-simplify]: Simplify 0 into 0 67.461 * [backup-simplify]: Simplify 1 into 1 67.461 * [backup-simplify]: Simplify (+ 0) into 0 67.462 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.464 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.464 * [backup-simplify]: Simplify (- 0) into 0 67.464 * [backup-simplify]: Simplify (+ 0 0) into 0 67.464 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 67.465 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 67.466 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 67.466 * [taylor]: Taking taylor expansion of 0 in K 67.466 * [backup-simplify]: Simplify 0 into 0 67.466 * [taylor]: Taking taylor expansion of 0 in J 67.466 * [backup-simplify]: Simplify 0 into 0 67.466 * [backup-simplify]: Simplify (+ 0) into 0 67.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 67.467 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 67.467 * [taylor]: Taking taylor expansion of 0 in J 67.467 * [backup-simplify]: Simplify 0 into 0 67.468 * [backup-simplify]: Simplify (* -2 0) into 0 67.468 * [backup-simplify]: Simplify 0 into 0 67.468 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.468 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 67.470 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.471 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 67.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.474 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.474 * [backup-simplify]: Simplify (- 0) into 0 67.474 * [backup-simplify]: Simplify (+ 0 0) into 0 67.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 67.476 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 67.476 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 67.476 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 67.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 67.476 * [taylor]: Taking taylor expansion of 1/4 in K 67.476 * [backup-simplify]: Simplify 1/4 into 1/4 67.476 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 67.476 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 67.476 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.476 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.476 * [taylor]: Taking taylor expansion of 1/2 in K 67.476 * [backup-simplify]: Simplify 1/2 into 1/2 67.477 * [taylor]: Taking taylor expansion of K in K 67.477 * [backup-simplify]: Simplify 0 into 0 67.477 * [backup-simplify]: Simplify 1 into 1 67.477 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.478 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.478 * [taylor]: Taking taylor expansion of J in K 67.478 * [backup-simplify]: Simplify J into J 67.478 * [backup-simplify]: Simplify (* 1 J) into J 67.478 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 67.478 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 67.478 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 67.478 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 67.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 67.478 * [taylor]: Taking taylor expansion of 1/4 in J 67.478 * [backup-simplify]: Simplify 1/4 into 1/4 67.478 * [taylor]: Taking taylor expansion of (/ 1 J) in J 67.478 * [taylor]: Taking taylor expansion of J in J 67.478 * [backup-simplify]: Simplify 0 into 0 67.478 * [backup-simplify]: Simplify 1 into 1 67.479 * [backup-simplify]: Simplify (/ 1 1) into 1 67.479 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 67.480 * [backup-simplify]: Simplify (- 1/4) into -1/4 67.480 * [backup-simplify]: Simplify -1/4 into -1/4 67.480 * [taylor]: Taking taylor expansion of 0 in J 67.480 * [backup-simplify]: Simplify 0 into 0 67.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 67.482 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 67.482 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 67.482 * [taylor]: Taking taylor expansion of 1/4 in J 67.482 * [backup-simplify]: Simplify 1/4 into 1/4 67.482 * [taylor]: Taking taylor expansion of J in J 67.482 * [backup-simplify]: Simplify 0 into 0 67.482 * [backup-simplify]: Simplify 1 into 1 67.482 * [backup-simplify]: Simplify 0 into 0 67.482 * [backup-simplify]: Simplify 0 into 0 67.483 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 67.483 * [backup-simplify]: Simplify -2 into -2 67.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.484 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.484 * [backup-simplify]: Simplify (+ 0) into 0 67.485 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.487 * [backup-simplify]: Simplify (- 0) into 0 67.487 * [backup-simplify]: Simplify (+ 0 0) into 0 67.487 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.488 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 67.488 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 67.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 67.489 * [backup-simplify]: Simplify (+ 0 0) into 0 67.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 67.491 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.492 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 67.494 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.495 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.495 * [backup-simplify]: Simplify (- 0) into 0 67.496 * [backup-simplify]: Simplify (+ 0 0) into 0 67.497 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.498 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 67.499 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 67.499 * [taylor]: Taking taylor expansion of 0 in K 67.499 * [backup-simplify]: Simplify 0 into 0 67.499 * [taylor]: Taking taylor expansion of 0 in J 67.499 * [backup-simplify]: Simplify 0 into 0 67.499 * [backup-simplify]: Simplify (+ 0) into 0 67.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 67.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 67.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 67.500 * [backup-simplify]: Simplify (- 0) into 0 67.501 * [taylor]: Taking taylor expansion of 0 in J 67.501 * [backup-simplify]: Simplify 0 into 0 67.501 * [taylor]: Taking taylor expansion of 0 in J 67.501 * [backup-simplify]: Simplify 0 into 0 67.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 67.503 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 67.505 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 67.505 * [taylor]: Taking taylor expansion of 0 in J 67.505 * [backup-simplify]: Simplify 0 into 0 67.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 67.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 67.507 * [backup-simplify]: Simplify (- 0) into 0 67.507 * [backup-simplify]: Simplify 0 into 0 67.507 * [backup-simplify]: Simplify 0 into 0 67.508 * [backup-simplify]: Simplify (* 1/4 0) into 0 67.508 * [backup-simplify]: Simplify 0 into 0 67.508 * [backup-simplify]: Simplify 0 into 0 67.508 * [backup-simplify]: Simplify 0 into 0 67.509 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 67.509 * [backup-simplify]: Simplify 0 into 0 67.510 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 67.511 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (* (log (exp (cbrt (cos (/ (/ 1 K) 2))))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 67.511 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 67.511 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 67.511 * [taylor]: Taking taylor expansion of -2 in J 67.511 * [backup-simplify]: Simplify -2 into -2 67.511 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 67.511 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 67.511 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 67.511 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 67.511 * [taylor]: Taking taylor expansion of 1/4 in J 67.511 * [backup-simplify]: Simplify 1/4 into 1/4 67.511 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 67.511 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.511 * [taylor]: Taking taylor expansion of J in J 67.511 * [backup-simplify]: Simplify 0 into 0 67.511 * [backup-simplify]: Simplify 1 into 1 67.511 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 67.511 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.511 * [taylor]: Taking taylor expansion of U in J 67.511 * [backup-simplify]: Simplify U into U 67.511 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.511 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.511 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.511 * [taylor]: Taking taylor expansion of 1/2 in J 67.511 * [backup-simplify]: Simplify 1/2 into 1/2 67.511 * [taylor]: Taking taylor expansion of K in J 67.511 * [backup-simplify]: Simplify K into K 67.512 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.512 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.512 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.512 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.512 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.512 * [backup-simplify]: Simplify (- 0) into 0 67.512 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.513 * [backup-simplify]: Simplify (* 1 1) into 1 67.513 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.513 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.513 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.513 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.513 * [taylor]: Taking taylor expansion of 1 in J 67.513 * [backup-simplify]: Simplify 1 into 1 67.514 * [backup-simplify]: Simplify (+ 0 1) into 1 67.514 * [backup-simplify]: Simplify (sqrt 1) into 1 67.515 * [backup-simplify]: Simplify (+ 0 0) into 0 67.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.516 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 67.516 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.516 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.516 * [taylor]: Taking taylor expansion of 1/2 in J 67.516 * [backup-simplify]: Simplify 1/2 into 1/2 67.516 * [taylor]: Taking taylor expansion of K in J 67.516 * [backup-simplify]: Simplify K into K 67.516 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.516 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.516 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.516 * [taylor]: Taking taylor expansion of J in J 67.516 * [backup-simplify]: Simplify 0 into 0 67.516 * [backup-simplify]: Simplify 1 into 1 67.516 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.516 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.517 * [backup-simplify]: Simplify (- 0) into 0 67.517 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.517 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.517 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 67.517 * [taylor]: Taking taylor expansion of -2 in K 67.517 * [backup-simplify]: Simplify -2 into -2 67.517 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 67.517 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 67.517 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 67.517 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 67.517 * [taylor]: Taking taylor expansion of 1/4 in K 67.517 * [backup-simplify]: Simplify 1/4 into 1/4 67.517 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 67.517 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.517 * [taylor]: Taking taylor expansion of J in K 67.517 * [backup-simplify]: Simplify J into J 67.517 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 67.517 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.517 * [taylor]: Taking taylor expansion of U in K 67.517 * [backup-simplify]: Simplify U into U 67.517 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.517 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.517 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.517 * [taylor]: Taking taylor expansion of 1/2 in K 67.517 * [backup-simplify]: Simplify 1/2 into 1/2 67.517 * [taylor]: Taking taylor expansion of K in K 67.517 * [backup-simplify]: Simplify 0 into 0 67.517 * [backup-simplify]: Simplify 1 into 1 67.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.518 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.518 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.518 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.518 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.518 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.519 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.519 * [taylor]: Taking taylor expansion of 1 in K 67.519 * [backup-simplify]: Simplify 1 into 1 67.519 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 67.519 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 67.520 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 67.520 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.520 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.520 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.521 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.522 * [backup-simplify]: Simplify (+ 0 0) into 0 67.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 67.523 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 67.523 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.523 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.523 * [taylor]: Taking taylor expansion of 1/2 in K 67.523 * [backup-simplify]: Simplify 1/2 into 1/2 67.523 * [taylor]: Taking taylor expansion of K in K 67.523 * [backup-simplify]: Simplify 0 into 0 67.523 * [backup-simplify]: Simplify 1 into 1 67.523 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.523 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.523 * [taylor]: Taking taylor expansion of J in K 67.523 * [backup-simplify]: Simplify J into J 67.523 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.523 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 67.523 * [taylor]: Taking taylor expansion of -2 in U 67.523 * [backup-simplify]: Simplify -2 into -2 67.523 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 67.524 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.524 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.524 * [taylor]: Taking taylor expansion of 1/4 in U 67.524 * [backup-simplify]: Simplify 1/4 into 1/4 67.524 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.524 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.524 * [taylor]: Taking taylor expansion of J in U 67.524 * [backup-simplify]: Simplify J into J 67.524 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.524 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.524 * [taylor]: Taking taylor expansion of U in U 67.524 * [backup-simplify]: Simplify 0 into 0 67.524 * [backup-simplify]: Simplify 1 into 1 67.524 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.524 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.524 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.524 * [taylor]: Taking taylor expansion of 1/2 in U 67.524 * [backup-simplify]: Simplify 1/2 into 1/2 67.524 * [taylor]: Taking taylor expansion of K in U 67.524 * [backup-simplify]: Simplify K into K 67.524 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.524 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.524 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.524 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.524 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.525 * [backup-simplify]: Simplify (- 0) into 0 67.525 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.525 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.525 * [backup-simplify]: Simplify (* 1 1) into 1 67.525 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.526 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.526 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.526 * [taylor]: Taking taylor expansion of 1 in U 67.526 * [backup-simplify]: Simplify 1 into 1 67.526 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.526 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.527 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.527 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.527 * [backup-simplify]: Simplify (+ 0) into 0 67.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.528 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.529 * [backup-simplify]: Simplify (- 0) into 0 67.530 * [backup-simplify]: Simplify (+ 0 0) into 0 67.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.531 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.532 * [backup-simplify]: Simplify (+ 0 0) into 0 67.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.533 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 67.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.533 * [taylor]: Taking taylor expansion of 1/2 in U 67.533 * [backup-simplify]: Simplify 1/2 into 1/2 67.533 * [taylor]: Taking taylor expansion of K in U 67.533 * [backup-simplify]: Simplify K into K 67.533 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.533 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.533 * [taylor]: Taking taylor expansion of J in U 67.533 * [backup-simplify]: Simplify J into J 67.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.533 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.534 * [backup-simplify]: Simplify (- 0) into 0 67.534 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.534 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.534 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 67.534 * [taylor]: Taking taylor expansion of -2 in U 67.534 * [backup-simplify]: Simplify -2 into -2 67.534 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 67.534 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.534 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.534 * [taylor]: Taking taylor expansion of 1/4 in U 67.534 * [backup-simplify]: Simplify 1/4 into 1/4 67.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.534 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.534 * [taylor]: Taking taylor expansion of J in U 67.534 * [backup-simplify]: Simplify J into J 67.534 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.534 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.534 * [taylor]: Taking taylor expansion of U in U 67.534 * [backup-simplify]: Simplify 0 into 0 67.534 * [backup-simplify]: Simplify 1 into 1 67.534 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.534 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.534 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.534 * [taylor]: Taking taylor expansion of 1/2 in U 67.534 * [backup-simplify]: Simplify 1/2 into 1/2 67.534 * [taylor]: Taking taylor expansion of K in U 67.534 * [backup-simplify]: Simplify K into K 67.534 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.535 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.535 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.535 * [backup-simplify]: Simplify (- 0) into 0 67.535 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.536 * [backup-simplify]: Simplify (* 1 1) into 1 67.536 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.536 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.536 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.536 * [taylor]: Taking taylor expansion of 1 in U 67.536 * [backup-simplify]: Simplify 1 into 1 67.536 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.537 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.537 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.537 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.537 * [backup-simplify]: Simplify (+ 0) into 0 67.538 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.538 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.538 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.539 * [backup-simplify]: Simplify (- 0) into 0 67.539 * [backup-simplify]: Simplify (+ 0 0) into 0 67.539 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.540 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.540 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.541 * [backup-simplify]: Simplify (+ 0 0) into 0 67.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.541 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 67.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.541 * [taylor]: Taking taylor expansion of 1/2 in U 67.541 * [backup-simplify]: Simplify 1/2 into 1/2 67.541 * [taylor]: Taking taylor expansion of K in U 67.541 * [backup-simplify]: Simplify K into K 67.541 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.541 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.541 * [taylor]: Taking taylor expansion of J in U 67.541 * [backup-simplify]: Simplify J into J 67.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.541 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.542 * [backup-simplify]: Simplify (- 0) into 0 67.542 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.542 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.542 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 67.542 * [backup-simplify]: Simplify (* -2 1/2) into -1 67.542 * [taylor]: Taking taylor expansion of -1 in K 67.542 * [backup-simplify]: Simplify -1 into -1 67.542 * [taylor]: Taking taylor expansion of -1 in J 67.542 * [backup-simplify]: Simplify -1 into -1 67.543 * [backup-simplify]: Simplify (+ 0) into 0 67.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.543 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.544 * [backup-simplify]: Simplify (- 0) into 0 67.544 * [backup-simplify]: Simplify (+ 0 0) into 0 67.545 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 67.545 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 67.545 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 67.545 * [taylor]: Taking taylor expansion of 0 in K 67.545 * [backup-simplify]: Simplify 0 into 0 67.545 * [taylor]: Taking taylor expansion of 0 in J 67.545 * [backup-simplify]: Simplify 0 into 0 67.545 * [taylor]: Taking taylor expansion of 0 in J 67.545 * [backup-simplify]: Simplify 0 into 0 67.545 * [backup-simplify]: Simplify -1 into -1 67.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.547 * [backup-simplify]: Simplify (- 0) into 0 67.548 * [backup-simplify]: Simplify (+ 0 0) into 0 67.548 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.548 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.548 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.549 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.550 * [backup-simplify]: Simplify (- 0) into 0 67.550 * [backup-simplify]: Simplify (+ 0 0) into 0 67.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.552 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.553 * [backup-simplify]: Simplify (+ 0 1) into 1 67.553 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 67.554 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 67.554 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 67.554 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 67.554 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 67.554 * [taylor]: Taking taylor expansion of 2 in K 67.554 * [backup-simplify]: Simplify 2 into 2 67.555 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 67.555 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.555 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.555 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.555 * [taylor]: Taking taylor expansion of 1/2 in K 67.555 * [backup-simplify]: Simplify 1/2 into 1/2 67.555 * [taylor]: Taking taylor expansion of K in K 67.555 * [backup-simplify]: Simplify 0 into 0 67.555 * [backup-simplify]: Simplify 1 into 1 67.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.555 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.555 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.555 * [taylor]: Taking taylor expansion of J in K 67.555 * [backup-simplify]: Simplify J into J 67.555 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.555 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.555 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 67.555 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 67.555 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 67.556 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 67.556 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 67.556 * [taylor]: Taking taylor expansion of 2 in J 67.556 * [backup-simplify]: Simplify 2 into 2 67.556 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 67.556 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.556 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.556 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.556 * [taylor]: Taking taylor expansion of 1/2 in J 67.556 * [backup-simplify]: Simplify 1/2 into 1/2 67.556 * [taylor]: Taking taylor expansion of K in J 67.556 * [backup-simplify]: Simplify K into K 67.556 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.556 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.556 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.556 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.556 * [backup-simplify]: Simplify (- 0) into 0 67.556 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.556 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.556 * [taylor]: Taking taylor expansion of J in J 67.556 * [backup-simplify]: Simplify 0 into 0 67.556 * [backup-simplify]: Simplify 1 into 1 67.556 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.557 * [backup-simplify]: Simplify (* 1 1) into 1 67.557 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 67.557 * [backup-simplify]: Simplify (+ 0) into 0 67.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.557 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.558 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.558 * [backup-simplify]: Simplify (- 0) into 0 67.559 * [backup-simplify]: Simplify (+ 0 0) into 0 67.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 67.560 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.560 * [backup-simplify]: Simplify (- 0) into 0 67.560 * [backup-simplify]: Simplify 0 into 0 67.560 * [taylor]: Taking taylor expansion of 0 in J 67.560 * [backup-simplify]: Simplify 0 into 0 67.560 * [taylor]: Taking taylor expansion of 0 in J 67.560 * [backup-simplify]: Simplify 0 into 0 67.560 * [backup-simplify]: Simplify 0 into 0 67.560 * [backup-simplify]: Simplify 0 into 0 67.560 * [backup-simplify]: Simplify 0 into 0 67.561 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.563 * [backup-simplify]: Simplify (- 0) into 0 67.563 * [backup-simplify]: Simplify (+ 0 0) into 0 67.563 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.564 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.564 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.567 * [backup-simplify]: Simplify (- 0) into 0 67.567 * [backup-simplify]: Simplify (+ 0 0) into 0 67.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 67.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.570 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.571 * [backup-simplify]: Simplify (+ 0 0) into 0 67.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 67.572 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 67.574 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 67.574 * [taylor]: Taking taylor expansion of 0 in K 67.574 * [backup-simplify]: Simplify 0 into 0 67.574 * [taylor]: Taking taylor expansion of 0 in J 67.574 * [backup-simplify]: Simplify 0 into 0 67.574 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.574 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.574 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.575 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 67.575 * [backup-simplify]: Simplify (- 0) into 0 67.575 * [taylor]: Taking taylor expansion of 0 in J 67.575 * [backup-simplify]: Simplify 0 into 0 67.575 * [taylor]: Taking taylor expansion of 0 in J 67.575 * [backup-simplify]: Simplify 0 into 0 67.575 * [taylor]: Taking taylor expansion of 0 in J 67.575 * [backup-simplify]: Simplify 0 into 0 67.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.579 * [backup-simplify]: Simplify (- 0) into 0 67.579 * [backup-simplify]: Simplify (+ 0 0) into 0 67.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.588 * [backup-simplify]: Simplify (- 0) into 0 67.588 * [backup-simplify]: Simplify 0 into 0 67.588 * [backup-simplify]: Simplify 0 into 0 67.588 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 67.589 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (log (exp (cbrt (cos (/ (/ 1 (- K)) 2))))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 67.590 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 67.590 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 67.590 * [taylor]: Taking taylor expansion of 2 in J 67.590 * [backup-simplify]: Simplify 2 into 2 67.590 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 67.590 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 67.590 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.590 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.590 * [taylor]: Taking taylor expansion of -1/2 in J 67.590 * [backup-simplify]: Simplify -1/2 into -1/2 67.590 * [taylor]: Taking taylor expansion of K in J 67.590 * [backup-simplify]: Simplify K into K 67.590 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.590 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.590 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.590 * [taylor]: Taking taylor expansion of J in J 67.590 * [backup-simplify]: Simplify 0 into 0 67.590 * [backup-simplify]: Simplify 1 into 1 67.590 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.590 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.591 * [backup-simplify]: Simplify (- 0) into 0 67.591 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.591 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.591 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 67.591 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 67.591 * [taylor]: Taking taylor expansion of 1 in J 67.591 * [backup-simplify]: Simplify 1 into 1 67.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 67.591 * [taylor]: Taking taylor expansion of 1/4 in J 67.591 * [backup-simplify]: Simplify 1/4 into 1/4 67.591 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 67.591 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.591 * [taylor]: Taking taylor expansion of J in J 67.591 * [backup-simplify]: Simplify 0 into 0 67.591 * [backup-simplify]: Simplify 1 into 1 67.591 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 67.591 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.591 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.591 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.591 * [taylor]: Taking taylor expansion of -1/2 in J 67.591 * [backup-simplify]: Simplify -1/2 into -1/2 67.591 * [taylor]: Taking taylor expansion of K in J 67.591 * [backup-simplify]: Simplify K into K 67.591 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.592 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.592 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.592 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.592 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.592 * [backup-simplify]: Simplify (- 0) into 0 67.592 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.592 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.592 * [taylor]: Taking taylor expansion of U in J 67.592 * [backup-simplify]: Simplify U into U 67.593 * [backup-simplify]: Simplify (* 1 1) into 1 67.593 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.593 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.593 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.593 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.594 * [backup-simplify]: Simplify (+ 1 0) into 1 67.594 * [backup-simplify]: Simplify (sqrt 1) into 1 67.595 * [backup-simplify]: Simplify (+ 0 0) into 0 67.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.595 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 67.595 * [taylor]: Taking taylor expansion of 2 in K 67.595 * [backup-simplify]: Simplify 2 into 2 67.595 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 67.595 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 67.595 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.595 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.595 * [taylor]: Taking taylor expansion of -1/2 in K 67.595 * [backup-simplify]: Simplify -1/2 into -1/2 67.596 * [taylor]: Taking taylor expansion of K in K 67.596 * [backup-simplify]: Simplify 0 into 0 67.596 * [backup-simplify]: Simplify 1 into 1 67.596 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.596 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.596 * [taylor]: Taking taylor expansion of J in K 67.596 * [backup-simplify]: Simplify J into J 67.596 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.596 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 67.596 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 67.596 * [taylor]: Taking taylor expansion of 1 in K 67.596 * [backup-simplify]: Simplify 1 into 1 67.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 67.596 * [taylor]: Taking taylor expansion of 1/4 in K 67.596 * [backup-simplify]: Simplify 1/4 into 1/4 67.596 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 67.597 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.597 * [taylor]: Taking taylor expansion of J in K 67.597 * [backup-simplify]: Simplify J into J 67.597 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 67.597 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.597 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.597 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.597 * [taylor]: Taking taylor expansion of -1/2 in K 67.597 * [backup-simplify]: Simplify -1/2 into -1/2 67.597 * [taylor]: Taking taylor expansion of K in K 67.597 * [backup-simplify]: Simplify 0 into 0 67.597 * [backup-simplify]: Simplify 1 into 1 67.597 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.597 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.597 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.597 * [taylor]: Taking taylor expansion of U in K 67.597 * [backup-simplify]: Simplify U into U 67.597 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.598 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.598 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.598 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.598 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.598 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 67.599 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 67.599 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 67.599 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.599 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.600 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 67.600 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 67.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 67.601 * [backup-simplify]: Simplify (+ 0 0) into 0 67.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 67.602 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 67.602 * [taylor]: Taking taylor expansion of 2 in U 67.602 * [backup-simplify]: Simplify 2 into 2 67.602 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 67.602 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 67.602 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.602 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.602 * [taylor]: Taking taylor expansion of -1/2 in U 67.602 * [backup-simplify]: Simplify -1/2 into -1/2 67.602 * [taylor]: Taking taylor expansion of K in U 67.602 * [backup-simplify]: Simplify K into K 67.602 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.602 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.602 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.602 * [taylor]: Taking taylor expansion of J in U 67.602 * [backup-simplify]: Simplify J into J 67.602 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.602 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.603 * [backup-simplify]: Simplify (- 0) into 0 67.603 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.603 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.603 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.603 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.603 * [taylor]: Taking taylor expansion of 1 in U 67.603 * [backup-simplify]: Simplify 1 into 1 67.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.603 * [taylor]: Taking taylor expansion of 1/4 in U 67.603 * [backup-simplify]: Simplify 1/4 into 1/4 67.603 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.603 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.603 * [taylor]: Taking taylor expansion of J in U 67.603 * [backup-simplify]: Simplify J into J 67.603 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.603 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.603 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.603 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.603 * [taylor]: Taking taylor expansion of -1/2 in U 67.603 * [backup-simplify]: Simplify -1/2 into -1/2 67.603 * [taylor]: Taking taylor expansion of K in U 67.603 * [backup-simplify]: Simplify K into K 67.604 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.604 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.604 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.604 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.604 * [backup-simplify]: Simplify (- 0) into 0 67.604 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.604 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.604 * [taylor]: Taking taylor expansion of U in U 67.604 * [backup-simplify]: Simplify 0 into 0 67.604 * [backup-simplify]: Simplify 1 into 1 67.604 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.605 * [backup-simplify]: Simplify (* 1 1) into 1 67.605 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.605 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.605 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.605 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.606 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.606 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.606 * [backup-simplify]: Simplify (+ 0) into 0 67.607 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.607 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.608 * [backup-simplify]: Simplify (- 0) into 0 67.608 * [backup-simplify]: Simplify (+ 0 0) into 0 67.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.608 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.608 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.609 * [backup-simplify]: Simplify (+ 0 0) into 0 67.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.609 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 67.609 * [taylor]: Taking taylor expansion of 2 in U 67.609 * [backup-simplify]: Simplify 2 into 2 67.609 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 67.609 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 67.609 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.609 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.609 * [taylor]: Taking taylor expansion of -1/2 in U 67.609 * [backup-simplify]: Simplify -1/2 into -1/2 67.609 * [taylor]: Taking taylor expansion of K in U 67.609 * [backup-simplify]: Simplify K into K 67.609 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.610 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.610 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.610 * [taylor]: Taking taylor expansion of J in U 67.610 * [backup-simplify]: Simplify J into J 67.610 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.610 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.610 * [backup-simplify]: Simplify (- 0) into 0 67.610 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.610 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.610 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.610 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.610 * [taylor]: Taking taylor expansion of 1 in U 67.610 * [backup-simplify]: Simplify 1 into 1 67.610 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.610 * [taylor]: Taking taylor expansion of 1/4 in U 67.610 * [backup-simplify]: Simplify 1/4 into 1/4 67.610 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.610 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.610 * [taylor]: Taking taylor expansion of J in U 67.610 * [backup-simplify]: Simplify J into J 67.610 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.610 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.610 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.610 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.610 * [taylor]: Taking taylor expansion of -1/2 in U 67.610 * [backup-simplify]: Simplify -1/2 into -1/2 67.610 * [taylor]: Taking taylor expansion of K in U 67.610 * [backup-simplify]: Simplify K into K 67.610 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.610 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.610 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.611 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.611 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.611 * [backup-simplify]: Simplify (- 0) into 0 67.611 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.611 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.611 * [taylor]: Taking taylor expansion of U in U 67.611 * [backup-simplify]: Simplify 0 into 0 67.611 * [backup-simplify]: Simplify 1 into 1 67.611 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.611 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.611 * [backup-simplify]: Simplify (* 1 1) into 1 67.611 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.611 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.612 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.612 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.612 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.612 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.613 * [backup-simplify]: Simplify (+ 0) into 0 67.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.613 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.614 * [backup-simplify]: Simplify (- 0) into 0 67.614 * [backup-simplify]: Simplify (+ 0 0) into 0 67.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.615 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.615 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.615 * [backup-simplify]: Simplify (+ 0 0) into 0 67.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.616 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 67.616 * [backup-simplify]: Simplify (* 2 1/2) into 1 67.616 * [taylor]: Taking taylor expansion of 1 in K 67.616 * [backup-simplify]: Simplify 1 into 1 67.616 * [taylor]: Taking taylor expansion of 1 in J 67.616 * [backup-simplify]: Simplify 1 into 1 67.616 * [backup-simplify]: Simplify (+ 0) into 0 67.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.618 * [backup-simplify]: Simplify (- 0) into 0 67.618 * [backup-simplify]: Simplify (+ 0 0) into 0 67.618 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 67.618 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 67.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 67.619 * [taylor]: Taking taylor expansion of 0 in K 67.619 * [backup-simplify]: Simplify 0 into 0 67.619 * [taylor]: Taking taylor expansion of 0 in J 67.619 * [backup-simplify]: Simplify 0 into 0 67.619 * [taylor]: Taking taylor expansion of 0 in J 67.619 * [backup-simplify]: Simplify 0 into 0 67.619 * [backup-simplify]: Simplify 1 into 1 67.619 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.621 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.622 * [backup-simplify]: Simplify (- 0) into 0 67.622 * [backup-simplify]: Simplify (+ 0 0) into 0 67.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.623 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 67.623 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 67.624 * [backup-simplify]: Simplify (+ 1 0) into 1 67.625 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 67.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.626 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.626 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.627 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.627 * [backup-simplify]: Simplify (- 0) into 0 67.627 * [backup-simplify]: Simplify (+ 0 0) into 0 67.627 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.628 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 67.628 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 67.628 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 67.628 * [taylor]: Taking taylor expansion of 2 in K 67.628 * [backup-simplify]: Simplify 2 into 2 67.629 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 67.629 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.629 * [taylor]: Taking taylor expansion of -1/2 in K 67.629 * [backup-simplify]: Simplify -1/2 into -1/2 67.629 * [taylor]: Taking taylor expansion of K in K 67.629 * [backup-simplify]: Simplify 0 into 0 67.629 * [backup-simplify]: Simplify 1 into 1 67.629 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.629 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.629 * [taylor]: Taking taylor expansion of J in K 67.629 * [backup-simplify]: Simplify J into J 67.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.629 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.629 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 67.629 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 67.629 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 67.629 * [taylor]: Taking taylor expansion of 2 in J 67.629 * [backup-simplify]: Simplify 2 into 2 67.629 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 67.629 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.629 * [taylor]: Taking taylor expansion of -1/2 in J 67.630 * [backup-simplify]: Simplify -1/2 into -1/2 67.630 * [taylor]: Taking taylor expansion of K in J 67.630 * [backup-simplify]: Simplify K into K 67.630 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.630 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.630 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.630 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.630 * [backup-simplify]: Simplify (- 0) into 0 67.630 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.630 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.630 * [taylor]: Taking taylor expansion of J in J 67.630 * [backup-simplify]: Simplify 0 into 0 67.630 * [backup-simplify]: Simplify 1 into 1 67.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.630 * [backup-simplify]: Simplify (* 1 1) into 1 67.631 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.631 * [backup-simplify]: Simplify (+ 0) into 0 67.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.632 * [backup-simplify]: Simplify (- 0) into 0 67.632 * [backup-simplify]: Simplify (+ 0 0) into 0 67.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 67.634 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 67.634 * [backup-simplify]: Simplify 0 into 0 67.634 * [taylor]: Taking taylor expansion of 0 in J 67.634 * [backup-simplify]: Simplify 0 into 0 67.634 * [taylor]: Taking taylor expansion of 0 in J 67.634 * [backup-simplify]: Simplify 0 into 0 67.635 * [backup-simplify]: Simplify 0 into 0 67.635 * [backup-simplify]: Simplify 0 into 0 67.635 * [backup-simplify]: Simplify 0 into 0 67.635 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.641 * [backup-simplify]: Simplify (- 0) into 0 67.641 * [backup-simplify]: Simplify (+ 0 0) into 0 67.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 67.643 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.644 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.645 * [backup-simplify]: Simplify (+ 0 0) into 0 67.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 67.647 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.648 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.650 * [backup-simplify]: Simplify (- 0) into 0 67.651 * [backup-simplify]: Simplify (+ 0 0) into 0 67.651 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.651 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 67.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 67.653 * [taylor]: Taking taylor expansion of 0 in K 67.653 * [backup-simplify]: Simplify 0 into 0 67.653 * [taylor]: Taking taylor expansion of 0 in J 67.653 * [backup-simplify]: Simplify 0 into 0 67.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.653 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.653 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.654 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 67.654 * [taylor]: Taking taylor expansion of 0 in J 67.654 * [backup-simplify]: Simplify 0 into 0 67.654 * [taylor]: Taking taylor expansion of 0 in J 67.654 * [backup-simplify]: Simplify 0 into 0 67.654 * [taylor]: Taking taylor expansion of 0 in J 67.654 * [backup-simplify]: Simplify 0 into 0 67.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.656 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.657 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.657 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.658 * [backup-simplify]: Simplify (- 0) into 0 67.658 * [backup-simplify]: Simplify (+ 0 0) into 0 67.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 67.662 * [backup-simplify]: Simplify 0 into 0 67.662 * [backup-simplify]: Simplify 0 into 0 67.662 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 67.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 67.663 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 67.663 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 67.663 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 67.663 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 67.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 67.663 * [taylor]: Taking taylor expansion of 1/4 in J 67.663 * [backup-simplify]: Simplify 1/4 into 1/4 67.663 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 67.663 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.663 * [taylor]: Taking taylor expansion of U in J 67.663 * [backup-simplify]: Simplify U into U 67.663 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 67.663 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 67.663 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 67.663 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 67.663 * [taylor]: Taking taylor expansion of 1/2 in J 67.663 * [backup-simplify]: Simplify 1/2 into 1/2 67.663 * [taylor]: Taking taylor expansion of K in J 67.663 * [backup-simplify]: Simplify K into K 67.663 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.663 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.663 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.663 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.664 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.664 * [backup-simplify]: Simplify (- 0) into 0 67.664 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.664 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.664 * [taylor]: Taking taylor expansion of J in J 67.664 * [backup-simplify]: Simplify 0 into 0 67.664 * [backup-simplify]: Simplify 1 into 1 67.664 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.664 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.665 * [backup-simplify]: Simplify (* 1 1) into 1 67.665 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 67.665 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 67.665 * [taylor]: Taking taylor expansion of 1 in J 67.665 * [backup-simplify]: Simplify 1 into 1 67.665 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.666 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 67.666 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 67.666 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.667 * [backup-simplify]: Simplify (+ 0) into 0 67.667 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.669 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.669 * [backup-simplify]: Simplify (- 0) into 0 67.670 * [backup-simplify]: Simplify (+ 0 0) into 0 67.670 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.670 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 67.670 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 67.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 67.671 * [backup-simplify]: Simplify (+ 0 0) into 0 67.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 67.671 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 67.671 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 67.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 67.671 * [taylor]: Taking taylor expansion of 1/4 in K 67.671 * [backup-simplify]: Simplify 1/4 into 1/4 67.671 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.671 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.671 * [taylor]: Taking taylor expansion of U in K 67.671 * [backup-simplify]: Simplify U into U 67.671 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.671 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.671 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.671 * [taylor]: Taking taylor expansion of 1/2 in K 67.671 * [backup-simplify]: Simplify 1/2 into 1/2 67.671 * [taylor]: Taking taylor expansion of K in K 67.671 * [backup-simplify]: Simplify 0 into 0 67.671 * [backup-simplify]: Simplify 1 into 1 67.672 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.672 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.672 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.672 * [taylor]: Taking taylor expansion of J in K 67.672 * [backup-simplify]: Simplify J into J 67.672 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.672 * [backup-simplify]: Simplify (* 1 1) into 1 67.672 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.672 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.672 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 67.673 * [taylor]: Taking taylor expansion of 1 in K 67.673 * [backup-simplify]: Simplify 1 into 1 67.673 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 67.673 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 67.673 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 67.673 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.673 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.673 * [backup-simplify]: Simplify (+ 0) into 0 67.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.674 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 67.675 * [backup-simplify]: Simplify (+ 0 0) into 0 67.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 67.675 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.675 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.675 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.675 * [taylor]: Taking taylor expansion of 1/4 in U 67.675 * [backup-simplify]: Simplify 1/4 into 1/4 67.675 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.675 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.675 * [taylor]: Taking taylor expansion of U in U 67.675 * [backup-simplify]: Simplify 0 into 0 67.675 * [backup-simplify]: Simplify 1 into 1 67.675 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.675 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.675 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.675 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.675 * [taylor]: Taking taylor expansion of 1/2 in U 67.675 * [backup-simplify]: Simplify 1/2 into 1/2 67.675 * [taylor]: Taking taylor expansion of K in U 67.675 * [backup-simplify]: Simplify K into K 67.675 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.675 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.675 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.675 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.676 * [backup-simplify]: Simplify (- 0) into 0 67.676 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.676 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.676 * [taylor]: Taking taylor expansion of J in U 67.676 * [backup-simplify]: Simplify J into J 67.676 * [backup-simplify]: Simplify (* 1 1) into 1 67.676 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.676 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.676 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.676 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.676 * [taylor]: Taking taylor expansion of 1 in U 67.676 * [backup-simplify]: Simplify 1 into 1 67.677 * [backup-simplify]: Simplify (+ 0 1) into 1 67.677 * [backup-simplify]: Simplify (sqrt 1) into 1 67.677 * [backup-simplify]: Simplify (+ 0 0) into 0 67.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.678 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.678 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.678 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.678 * [taylor]: Taking taylor expansion of 1/4 in U 67.678 * [backup-simplify]: Simplify 1/4 into 1/4 67.678 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.678 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.678 * [taylor]: Taking taylor expansion of U in U 67.678 * [backup-simplify]: Simplify 0 into 0 67.678 * [backup-simplify]: Simplify 1 into 1 67.678 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.678 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.678 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.678 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.678 * [taylor]: Taking taylor expansion of 1/2 in U 67.678 * [backup-simplify]: Simplify 1/2 into 1/2 67.678 * [taylor]: Taking taylor expansion of K in U 67.678 * [backup-simplify]: Simplify K into K 67.678 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.678 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.678 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.678 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.678 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.678 * [backup-simplify]: Simplify (- 0) into 0 67.678 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.678 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.678 * [taylor]: Taking taylor expansion of J in U 67.678 * [backup-simplify]: Simplify J into J 67.679 * [backup-simplify]: Simplify (* 1 1) into 1 67.679 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.679 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.679 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.679 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.679 * [taylor]: Taking taylor expansion of 1 in U 67.679 * [backup-simplify]: Simplify 1 into 1 67.679 * [backup-simplify]: Simplify (+ 0 1) into 1 67.680 * [backup-simplify]: Simplify (sqrt 1) into 1 67.680 * [backup-simplify]: Simplify (+ 0 0) into 0 67.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.680 * [taylor]: Taking taylor expansion of 1 in K 67.680 * [backup-simplify]: Simplify 1 into 1 67.680 * [taylor]: Taking taylor expansion of 1 in J 67.680 * [backup-simplify]: Simplify 1 into 1 67.680 * [taylor]: Taking taylor expansion of 0 in K 67.680 * [backup-simplify]: Simplify 0 into 0 67.680 * [taylor]: Taking taylor expansion of 0 in J 67.680 * [backup-simplify]: Simplify 0 into 0 67.680 * [taylor]: Taking taylor expansion of 0 in J 67.680 * [backup-simplify]: Simplify 0 into 0 67.680 * [backup-simplify]: Simplify 1 into 1 67.681 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.681 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 67.682 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.682 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.682 * [taylor]: Taking taylor expansion of 1/8 in K 67.682 * [backup-simplify]: Simplify 1/8 into 1/8 67.682 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.682 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.682 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.682 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.682 * [taylor]: Taking taylor expansion of 1/2 in K 67.682 * [backup-simplify]: Simplify 1/2 into 1/2 67.682 * [taylor]: Taking taylor expansion of K in K 67.682 * [backup-simplify]: Simplify 0 into 0 67.682 * [backup-simplify]: Simplify 1 into 1 67.682 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.682 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.682 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.682 * [taylor]: Taking taylor expansion of J in K 67.683 * [backup-simplify]: Simplify J into J 67.683 * [backup-simplify]: Simplify (* 1 1) into 1 67.683 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.683 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.683 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 67.683 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 67.683 * [taylor]: Taking taylor expansion of 1/8 in J 67.683 * [backup-simplify]: Simplify 1/8 into 1/8 67.683 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.683 * [taylor]: Taking taylor expansion of J in J 67.683 * [backup-simplify]: Simplify 0 into 0 67.683 * [backup-simplify]: Simplify 1 into 1 67.683 * [backup-simplify]: Simplify (* 1 1) into 1 67.683 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 67.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 67.685 * [backup-simplify]: Simplify 0 into 0 67.685 * [taylor]: Taking taylor expansion of 0 in J 67.685 * [backup-simplify]: Simplify 0 into 0 67.685 * [taylor]: Taking taylor expansion of 0 in J 67.685 * [backup-simplify]: Simplify 0 into 0 67.685 * [backup-simplify]: Simplify 0 into 0 67.685 * [backup-simplify]: Simplify 0 into 0 67.685 * [backup-simplify]: Simplify 0 into 0 67.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.686 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.686 * [backup-simplify]: Simplify (+ 0) into 0 67.686 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.687 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.688 * [backup-simplify]: Simplify (- 0) into 0 67.688 * [backup-simplify]: Simplify (+ 0 0) into 0 67.688 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.688 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 67.688 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 67.689 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 67.689 * [backup-simplify]: Simplify (+ 0 0) into 0 67.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 67.690 * [taylor]: Taking taylor expansion of 0 in K 67.690 * [backup-simplify]: Simplify 0 into 0 67.690 * [taylor]: Taking taylor expansion of 0 in J 67.690 * [backup-simplify]: Simplify 0 into 0 67.690 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.690 * [backup-simplify]: Simplify (+ 0) into 0 67.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.691 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 67.691 * [taylor]: Taking taylor expansion of 0 in J 67.691 * [backup-simplify]: Simplify 0 into 0 67.691 * [taylor]: Taking taylor expansion of 0 in J 67.691 * [backup-simplify]: Simplify 0 into 0 67.691 * [taylor]: Taking taylor expansion of 0 in J 67.691 * [backup-simplify]: Simplify 0 into 0 67.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.692 * [backup-simplify]: Simplify 0 into 0 67.692 * [backup-simplify]: Simplify 0 into 0 67.692 * [backup-simplify]: Simplify 1 into 1 67.692 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 67.692 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 67.692 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 67.692 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 67.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 67.692 * [taylor]: Taking taylor expansion of 1/4 in J 67.692 * [backup-simplify]: Simplify 1/4 into 1/4 67.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 67.692 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.692 * [taylor]: Taking taylor expansion of J in J 67.693 * [backup-simplify]: Simplify 0 into 0 67.693 * [backup-simplify]: Simplify 1 into 1 67.693 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 67.693 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.693 * [taylor]: Taking taylor expansion of U in J 67.693 * [backup-simplify]: Simplify U into U 67.693 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.693 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.693 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.693 * [taylor]: Taking taylor expansion of 1/2 in J 67.693 * [backup-simplify]: Simplify 1/2 into 1/2 67.693 * [taylor]: Taking taylor expansion of K in J 67.693 * [backup-simplify]: Simplify K into K 67.693 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.693 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.693 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.693 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.693 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.693 * [backup-simplify]: Simplify (- 0) into 0 67.693 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.693 * [backup-simplify]: Simplify (* 1 1) into 1 67.694 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.694 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.694 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.694 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.694 * [taylor]: Taking taylor expansion of 1 in J 67.694 * [backup-simplify]: Simplify 1 into 1 67.694 * [backup-simplify]: Simplify (+ 0 1) into 1 67.694 * [backup-simplify]: Simplify (sqrt 1) into 1 67.695 * [backup-simplify]: Simplify (+ 0 0) into 0 67.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.695 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 67.695 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 67.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 67.695 * [taylor]: Taking taylor expansion of 1/4 in K 67.695 * [backup-simplify]: Simplify 1/4 into 1/4 67.695 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 67.695 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.695 * [taylor]: Taking taylor expansion of J in K 67.695 * [backup-simplify]: Simplify J into J 67.695 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 67.695 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.695 * [taylor]: Taking taylor expansion of U in K 67.695 * [backup-simplify]: Simplify U into U 67.695 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.695 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.695 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.695 * [taylor]: Taking taylor expansion of 1/2 in K 67.695 * [backup-simplify]: Simplify 1/2 into 1/2 67.695 * [taylor]: Taking taylor expansion of K in K 67.695 * [backup-simplify]: Simplify 0 into 0 67.695 * [backup-simplify]: Simplify 1 into 1 67.696 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.696 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.696 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.696 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.696 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.696 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.696 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.696 * [taylor]: Taking taylor expansion of 1 in K 67.696 * [backup-simplify]: Simplify 1 into 1 67.696 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 67.696 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 67.697 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 67.697 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.697 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.697 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.698 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.704 * [backup-simplify]: Simplify (+ 0 0) into 0 67.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 67.705 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.705 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.705 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.705 * [taylor]: Taking taylor expansion of 1/4 in U 67.705 * [backup-simplify]: Simplify 1/4 into 1/4 67.705 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.705 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.705 * [taylor]: Taking taylor expansion of J in U 67.705 * [backup-simplify]: Simplify J into J 67.705 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.705 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.705 * [taylor]: Taking taylor expansion of U in U 67.705 * [backup-simplify]: Simplify 0 into 0 67.705 * [backup-simplify]: Simplify 1 into 1 67.705 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.705 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.705 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.705 * [taylor]: Taking taylor expansion of 1/2 in U 67.705 * [backup-simplify]: Simplify 1/2 into 1/2 67.705 * [taylor]: Taking taylor expansion of K in U 67.705 * [backup-simplify]: Simplify K into K 67.705 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.705 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.705 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.705 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.706 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.706 * [backup-simplify]: Simplify (- 0) into 0 67.706 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.706 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.706 * [backup-simplify]: Simplify (* 1 1) into 1 67.707 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.707 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.707 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.707 * [taylor]: Taking taylor expansion of 1 in U 67.707 * [backup-simplify]: Simplify 1 into 1 67.707 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.707 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.708 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.708 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.708 * [backup-simplify]: Simplify (+ 0) into 0 67.709 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.710 * [backup-simplify]: Simplify (- 0) into 0 67.711 * [backup-simplify]: Simplify (+ 0 0) into 0 67.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.712 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.713 * [backup-simplify]: Simplify (+ 0 0) into 0 67.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.713 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.713 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.713 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.713 * [taylor]: Taking taylor expansion of 1/4 in U 67.713 * [backup-simplify]: Simplify 1/4 into 1/4 67.713 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.714 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.714 * [taylor]: Taking taylor expansion of J in U 67.714 * [backup-simplify]: Simplify J into J 67.714 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.714 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.714 * [taylor]: Taking taylor expansion of U in U 67.714 * [backup-simplify]: Simplify 0 into 0 67.714 * [backup-simplify]: Simplify 1 into 1 67.714 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.714 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.714 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.714 * [taylor]: Taking taylor expansion of 1/2 in U 67.714 * [backup-simplify]: Simplify 1/2 into 1/2 67.714 * [taylor]: Taking taylor expansion of K in U 67.714 * [backup-simplify]: Simplify K into K 67.714 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.714 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.714 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.714 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.714 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.714 * [backup-simplify]: Simplify (- 0) into 0 67.714 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.714 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.715 * [backup-simplify]: Simplify (* 1 1) into 1 67.715 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.715 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.715 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.715 * [taylor]: Taking taylor expansion of 1 in U 67.715 * [backup-simplify]: Simplify 1 into 1 67.715 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.715 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.715 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.715 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.716 * [backup-simplify]: Simplify (+ 0) into 0 67.716 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.717 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.717 * [backup-simplify]: Simplify (- 0) into 0 67.717 * [backup-simplify]: Simplify (+ 0 0) into 0 67.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.718 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.719 * [backup-simplify]: Simplify (+ 0 0) into 0 67.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 67.719 * [taylor]: Taking taylor expansion of 1/2 in K 67.719 * [backup-simplify]: Simplify 1/2 into 1/2 67.719 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 67.719 * [taylor]: Taking taylor expansion of J in K 67.719 * [backup-simplify]: Simplify J into J 67.719 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.719 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.719 * [taylor]: Taking taylor expansion of 1/2 in K 67.719 * [backup-simplify]: Simplify 1/2 into 1/2 67.719 * [taylor]: Taking taylor expansion of K in K 67.720 * [backup-simplify]: Simplify 0 into 0 67.720 * [backup-simplify]: Simplify 1 into 1 67.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.720 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.720 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 67.720 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 67.720 * [taylor]: Taking taylor expansion of 1/2 in J 67.720 * [backup-simplify]: Simplify 1/2 into 1/2 67.720 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 67.720 * [taylor]: Taking taylor expansion of J in J 67.720 * [backup-simplify]: Simplify 0 into 0 67.720 * [backup-simplify]: Simplify 1 into 1 67.720 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.720 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.720 * [taylor]: Taking taylor expansion of 1/2 in J 67.720 * [backup-simplify]: Simplify 1/2 into 1/2 67.720 * [taylor]: Taking taylor expansion of K in J 67.720 * [backup-simplify]: Simplify K into K 67.720 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.720 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.720 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.720 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.720 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.721 * [backup-simplify]: Simplify (- 0) into 0 67.721 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.721 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 67.721 * [taylor]: Taking taylor expansion of 0 in K 67.721 * [backup-simplify]: Simplify 0 into 0 67.721 * [taylor]: Taking taylor expansion of 0 in J 67.721 * [backup-simplify]: Simplify 0 into 0 67.721 * [backup-simplify]: Simplify 0 into 0 67.721 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 67.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 67.721 * [taylor]: Taking taylor expansion of 0 in J 67.721 * [backup-simplify]: Simplify 0 into 0 67.721 * [backup-simplify]: Simplify 0 into 0 67.722 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 67.722 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 67.722 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.724 * [backup-simplify]: Simplify (- 0) into 0 67.724 * [backup-simplify]: Simplify (+ 0 0) into 0 67.725 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.726 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.727 * [backup-simplify]: Simplify (+ 0 1) into 1 67.727 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 67.727 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 67.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.728 * [taylor]: Taking taylor expansion of 1/2 in K 67.728 * [backup-simplify]: Simplify 1/2 into 1/2 67.728 * [taylor]: Taking taylor expansion of K in K 67.728 * [backup-simplify]: Simplify 0 into 0 67.728 * [backup-simplify]: Simplify 1 into 1 67.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.728 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.728 * [taylor]: Taking taylor expansion of J in K 67.728 * [backup-simplify]: Simplify J into J 67.728 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.728 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 67.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.728 * [taylor]: Taking taylor expansion of 1/2 in J 67.728 * [backup-simplify]: Simplify 1/2 into 1/2 67.728 * [taylor]: Taking taylor expansion of K in J 67.728 * [backup-simplify]: Simplify K into K 67.728 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.728 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.728 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.728 * [taylor]: Taking taylor expansion of J in J 67.728 * [backup-simplify]: Simplify 0 into 0 67.728 * [backup-simplify]: Simplify 1 into 1 67.728 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.728 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.729 * [backup-simplify]: Simplify (- 0) into 0 67.729 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.729 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.729 * [backup-simplify]: Simplify (+ 0) into 0 67.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.729 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.730 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.730 * [backup-simplify]: Simplify (- 0) into 0 67.731 * [backup-simplify]: Simplify (+ 0 0) into 0 67.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 67.731 * [backup-simplify]: Simplify 0 into 0 67.731 * [taylor]: Taking taylor expansion of 0 in J 67.731 * [backup-simplify]: Simplify 0 into 0 67.731 * [backup-simplify]: Simplify 0 into 0 67.731 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 67.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 67.732 * [taylor]: Taking taylor expansion of 0 in J 67.732 * [backup-simplify]: Simplify 0 into 0 67.732 * [backup-simplify]: Simplify 0 into 0 67.732 * [backup-simplify]: Simplify 0 into 0 67.732 * [backup-simplify]: Simplify 0 into 0 67.732 * [backup-simplify]: Simplify (+ 0) into 0 67.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.733 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.734 * [backup-simplify]: Simplify (- 0) into 0 67.734 * [backup-simplify]: Simplify (+ 0 0) into 0 67.734 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 67.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 67.734 * [backup-simplify]: Simplify 0 into 0 67.735 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 67.735 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 67.735 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 67.735 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 67.735 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 67.735 * [taylor]: Taking taylor expansion of 1 in J 67.735 * [backup-simplify]: Simplify 1 into 1 67.735 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 67.735 * [taylor]: Taking taylor expansion of 1/4 in J 67.735 * [backup-simplify]: Simplify 1/4 into 1/4 67.735 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 67.735 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.735 * [taylor]: Taking taylor expansion of J in J 67.735 * [backup-simplify]: Simplify 0 into 0 67.735 * [backup-simplify]: Simplify 1 into 1 67.735 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 67.735 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.735 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.735 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.735 * [taylor]: Taking taylor expansion of -1/2 in J 67.735 * [backup-simplify]: Simplify -1/2 into -1/2 67.735 * [taylor]: Taking taylor expansion of K in J 67.735 * [backup-simplify]: Simplify K into K 67.735 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.736 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.736 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.736 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.736 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.736 * [backup-simplify]: Simplify (- 0) into 0 67.736 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.736 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.736 * [taylor]: Taking taylor expansion of U in J 67.736 * [backup-simplify]: Simplify U into U 67.736 * [backup-simplify]: Simplify (* 1 1) into 1 67.737 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.737 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.737 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.737 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.737 * [backup-simplify]: Simplify (+ 1 0) into 1 67.737 * [backup-simplify]: Simplify (sqrt 1) into 1 67.738 * [backup-simplify]: Simplify (+ 0 0) into 0 67.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.738 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 67.738 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 67.738 * [taylor]: Taking taylor expansion of 1 in K 67.738 * [backup-simplify]: Simplify 1 into 1 67.738 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 67.738 * [taylor]: Taking taylor expansion of 1/4 in K 67.738 * [backup-simplify]: Simplify 1/4 into 1/4 67.738 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 67.738 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.738 * [taylor]: Taking taylor expansion of J in K 67.738 * [backup-simplify]: Simplify J into J 67.738 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 67.738 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.738 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.738 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.738 * [taylor]: Taking taylor expansion of -1/2 in K 67.738 * [backup-simplify]: Simplify -1/2 into -1/2 67.738 * [taylor]: Taking taylor expansion of K in K 67.738 * [backup-simplify]: Simplify 0 into 0 67.738 * [backup-simplify]: Simplify 1 into 1 67.739 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.739 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.739 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.739 * [taylor]: Taking taylor expansion of U in K 67.739 * [backup-simplify]: Simplify U into U 67.739 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.739 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.739 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.739 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.739 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.739 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 67.740 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 67.740 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 67.740 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.740 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.740 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 67.740 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 67.741 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 67.741 * [backup-simplify]: Simplify (+ 0 0) into 0 67.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 67.741 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.741 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.741 * [taylor]: Taking taylor expansion of 1 in U 67.741 * [backup-simplify]: Simplify 1 into 1 67.741 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.741 * [taylor]: Taking taylor expansion of 1/4 in U 67.742 * [backup-simplify]: Simplify 1/4 into 1/4 67.742 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.742 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.742 * [taylor]: Taking taylor expansion of J in U 67.742 * [backup-simplify]: Simplify J into J 67.742 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.742 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.742 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.742 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.742 * [taylor]: Taking taylor expansion of -1/2 in U 67.742 * [backup-simplify]: Simplify -1/2 into -1/2 67.742 * [taylor]: Taking taylor expansion of K in U 67.742 * [backup-simplify]: Simplify K into K 67.742 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.742 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.742 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.742 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.742 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.742 * [backup-simplify]: Simplify (- 0) into 0 67.742 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.742 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.742 * [taylor]: Taking taylor expansion of U in U 67.742 * [backup-simplify]: Simplify 0 into 0 67.742 * [backup-simplify]: Simplify 1 into 1 67.742 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.742 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.743 * [backup-simplify]: Simplify (* 1 1) into 1 67.743 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.743 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.743 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.743 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.743 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.743 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.744 * [backup-simplify]: Simplify (+ 0) into 0 67.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.744 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.745 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.746 * [backup-simplify]: Simplify (- 0) into 0 67.746 * [backup-simplify]: Simplify (+ 0 0) into 0 67.746 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.747 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.747 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.748 * [backup-simplify]: Simplify (+ 0 0) into 0 67.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.748 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.748 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.748 * [taylor]: Taking taylor expansion of 1 in U 67.748 * [backup-simplify]: Simplify 1 into 1 67.748 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.748 * [taylor]: Taking taylor expansion of 1/4 in U 67.749 * [backup-simplify]: Simplify 1/4 into 1/4 67.749 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.749 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.749 * [taylor]: Taking taylor expansion of J in U 67.749 * [backup-simplify]: Simplify J into J 67.749 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.749 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.749 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.749 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.749 * [taylor]: Taking taylor expansion of -1/2 in U 67.749 * [backup-simplify]: Simplify -1/2 into -1/2 67.749 * [taylor]: Taking taylor expansion of K in U 67.749 * [backup-simplify]: Simplify K into K 67.749 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.749 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.749 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.749 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.749 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.750 * [backup-simplify]: Simplify (- 0) into 0 67.750 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.750 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.750 * [taylor]: Taking taylor expansion of U in U 67.750 * [backup-simplify]: Simplify 0 into 0 67.750 * [backup-simplify]: Simplify 1 into 1 67.750 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.750 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.750 * [backup-simplify]: Simplify (* 1 1) into 1 67.750 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.751 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.751 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.751 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.751 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.751 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.752 * [backup-simplify]: Simplify (+ 0) into 0 67.753 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.753 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.755 * [backup-simplify]: Simplify (- 0) into 0 67.755 * [backup-simplify]: Simplify (+ 0 0) into 0 67.755 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.756 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.756 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.757 * [backup-simplify]: Simplify (+ 0 0) into 0 67.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 67.758 * [taylor]: Taking taylor expansion of 1/2 in K 67.758 * [backup-simplify]: Simplify 1/2 into 1/2 67.758 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 67.758 * [taylor]: Taking taylor expansion of J in K 67.758 * [backup-simplify]: Simplify J into J 67.758 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.758 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.758 * [taylor]: Taking taylor expansion of -1/2 in K 67.758 * [backup-simplify]: Simplify -1/2 into -1/2 67.758 * [taylor]: Taking taylor expansion of K in K 67.758 * [backup-simplify]: Simplify 0 into 0 67.758 * [backup-simplify]: Simplify 1 into 1 67.758 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.758 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.758 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 67.759 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 67.759 * [taylor]: Taking taylor expansion of 1/2 in J 67.759 * [backup-simplify]: Simplify 1/2 into 1/2 67.759 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 67.759 * [taylor]: Taking taylor expansion of J in J 67.759 * [backup-simplify]: Simplify 0 into 0 67.759 * [backup-simplify]: Simplify 1 into 1 67.759 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.759 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.759 * [taylor]: Taking taylor expansion of -1/2 in J 67.759 * [backup-simplify]: Simplify -1/2 into -1/2 67.759 * [taylor]: Taking taylor expansion of K in J 67.759 * [backup-simplify]: Simplify K into K 67.759 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.759 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.759 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.759 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.759 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.760 * [backup-simplify]: Simplify (- 0) into 0 67.760 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.760 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 67.760 * [taylor]: Taking taylor expansion of 0 in K 67.760 * [backup-simplify]: Simplify 0 into 0 67.760 * [taylor]: Taking taylor expansion of 0 in J 67.760 * [backup-simplify]: Simplify 0 into 0 67.760 * [backup-simplify]: Simplify 0 into 0 67.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 67.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 67.761 * [taylor]: Taking taylor expansion of 0 in J 67.761 * [backup-simplify]: Simplify 0 into 0 67.761 * [backup-simplify]: Simplify 0 into 0 67.761 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 67.761 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 67.762 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.764 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.764 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.766 * [backup-simplify]: Simplify (- 0) into 0 67.766 * [backup-simplify]: Simplify (+ 0 0) into 0 67.767 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.768 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 67.768 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 67.769 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 67.770 * [backup-simplify]: Simplify (+ 1 0) into 1 67.771 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 67.771 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 67.771 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.771 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.771 * [taylor]: Taking taylor expansion of -1/2 in K 67.771 * [backup-simplify]: Simplify -1/2 into -1/2 67.771 * [taylor]: Taking taylor expansion of K in K 67.771 * [backup-simplify]: Simplify 0 into 0 67.771 * [backup-simplify]: Simplify 1 into 1 67.771 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.771 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.772 * [taylor]: Taking taylor expansion of J in K 67.772 * [backup-simplify]: Simplify J into J 67.772 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.772 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 67.772 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.772 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.772 * [taylor]: Taking taylor expansion of -1/2 in J 67.772 * [backup-simplify]: Simplify -1/2 into -1/2 67.772 * [taylor]: Taking taylor expansion of K in J 67.772 * [backup-simplify]: Simplify K into K 67.772 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.772 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.772 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.772 * [taylor]: Taking taylor expansion of J in J 67.772 * [backup-simplify]: Simplify 0 into 0 67.772 * [backup-simplify]: Simplify 1 into 1 67.772 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.772 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.773 * [backup-simplify]: Simplify (- 0) into 0 67.773 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.773 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.773 * [backup-simplify]: Simplify (+ 0) into 0 67.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.774 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.775 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.775 * [backup-simplify]: Simplify (- 0) into 0 67.776 * [backup-simplify]: Simplify (+ 0 0) into 0 67.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 67.777 * [backup-simplify]: Simplify 0 into 0 67.777 * [taylor]: Taking taylor expansion of 0 in J 67.777 * [backup-simplify]: Simplify 0 into 0 67.777 * [backup-simplify]: Simplify 0 into 0 67.777 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 67.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 67.778 * [taylor]: Taking taylor expansion of 0 in J 67.778 * [backup-simplify]: Simplify 0 into 0 67.778 * [backup-simplify]: Simplify 0 into 0 67.778 * [backup-simplify]: Simplify 0 into 0 67.778 * [backup-simplify]: Simplify 0 into 0 67.779 * [backup-simplify]: Simplify (+ 0) into 0 67.779 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.780 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.781 * [backup-simplify]: Simplify (- 0) into 0 67.781 * [backup-simplify]: Simplify (+ 0 0) into 0 67.781 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 67.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 67.782 * [backup-simplify]: Simplify 0 into 0 67.782 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 67.782 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1) 67.782 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 67.782 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 67.783 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.783 * [taylor]: Taking taylor expansion of 1/3 in K 67.783 * [backup-simplify]: Simplify 1/3 into 1/3 67.783 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.783 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.783 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.783 * [taylor]: Taking taylor expansion of 1/2 in K 67.783 * [backup-simplify]: Simplify 1/2 into 1/2 67.783 * [taylor]: Taking taylor expansion of K in K 67.783 * [backup-simplify]: Simplify 0 into 0 67.783 * [backup-simplify]: Simplify 1 into 1 67.783 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.784 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.784 * [backup-simplify]: Simplify (log 1) into 0 67.785 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.785 * [backup-simplify]: Simplify (+ 0) into 0 67.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.792 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.792 * [backup-simplify]: Simplify (exp 0) into 1 67.792 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.792 * [taylor]: Taking taylor expansion of 1/3 in K 67.792 * [backup-simplify]: Simplify 1/3 into 1/3 67.792 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.792 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.792 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.792 * [taylor]: Taking taylor expansion of 1/2 in K 67.792 * [backup-simplify]: Simplify 1/2 into 1/2 67.792 * [taylor]: Taking taylor expansion of K in K 67.792 * [backup-simplify]: Simplify 0 into 0 67.792 * [backup-simplify]: Simplify 1 into 1 67.793 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.794 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.794 * [backup-simplify]: Simplify (log 1) into 0 67.794 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.795 * [backup-simplify]: Simplify (+ 0) into 0 67.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.802 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.802 * [backup-simplify]: Simplify (exp 0) into 1 67.802 * [backup-simplify]: Simplify 1 into 1 67.803 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 67.803 * [backup-simplify]: Simplify 0 into 0 67.805 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 67.805 * [backup-simplify]: Simplify -1/24 into -1/24 67.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 67.807 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.812 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 67.813 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 67.816 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.816 * [backup-simplify]: Simplify 0 into 0 67.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 67.832 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 67.839 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 67.844 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 67.844 * [backup-simplify]: Simplify -1/1152 into -1/1152 67.845 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 67.845 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 67.845 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 67.845 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.845 * [taylor]: Taking taylor expansion of 1/3 in K 67.845 * [backup-simplify]: Simplify 1/3 into 1/3 67.845 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.845 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.845 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.845 * [taylor]: Taking taylor expansion of 1/2 in K 67.845 * [backup-simplify]: Simplify 1/2 into 1/2 67.845 * [taylor]: Taking taylor expansion of K in K 67.845 * [backup-simplify]: Simplify 0 into 0 67.845 * [backup-simplify]: Simplify 1 into 1 67.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.846 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.846 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.846 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.846 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.846 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.846 * [taylor]: Taking taylor expansion of 1/3 in K 67.846 * [backup-simplify]: Simplify 1/3 into 1/3 67.846 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.846 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.846 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.847 * [taylor]: Taking taylor expansion of 1/2 in K 67.847 * [backup-simplify]: Simplify 1/2 into 1/2 67.847 * [taylor]: Taking taylor expansion of K in K 67.847 * [backup-simplify]: Simplify 0 into 0 67.847 * [backup-simplify]: Simplify 1 into 1 67.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.847 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.847 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.847 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.847 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.848 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 67.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 67.849 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 67.850 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.850 * [backup-simplify]: Simplify 0 into 0 67.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 67.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 67.852 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.852 * [backup-simplify]: Simplify 0 into 0 67.854 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 67.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 67.855 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.855 * [backup-simplify]: Simplify 0 into 0 67.858 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 67.859 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 67.861 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.861 * [backup-simplify]: Simplify 0 into 0 67.865 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 67.866 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 67.868 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.868 * [backup-simplify]: Simplify 0 into 0 67.875 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 67.876 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 67.882 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.882 * [backup-simplify]: Simplify 0 into 0 67.882 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 67.882 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 67.882 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 67.882 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 67.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 67.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 67.882 * [taylor]: Taking taylor expansion of 1/3 in K 67.882 * [backup-simplify]: Simplify 1/3 into 1/3 67.882 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 67.882 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.882 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.882 * [taylor]: Taking taylor expansion of -1/2 in K 67.882 * [backup-simplify]: Simplify -1/2 into -1/2 67.882 * [taylor]: Taking taylor expansion of K in K 67.882 * [backup-simplify]: Simplify 0 into 0 67.882 * [backup-simplify]: Simplify 1 into 1 67.883 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.883 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.883 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 67.883 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 67.883 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 67.883 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 67.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 67.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 67.883 * [taylor]: Taking taylor expansion of 1/3 in K 67.884 * [backup-simplify]: Simplify 1/3 into 1/3 67.884 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 67.884 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.884 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.884 * [taylor]: Taking taylor expansion of -1/2 in K 67.884 * [backup-simplify]: Simplify -1/2 into -1/2 67.884 * [taylor]: Taking taylor expansion of K in K 67.884 * [backup-simplify]: Simplify 0 into 0 67.884 * [backup-simplify]: Simplify 1 into 1 67.884 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.884 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.884 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 67.884 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 67.885 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 67.885 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 67.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 67.886 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 67.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.887 * [backup-simplify]: Simplify 0 into 0 67.889 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 67.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 67.891 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.891 * [backup-simplify]: Simplify 0 into 0 67.894 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 67.896 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 67.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.898 * [backup-simplify]: Simplify 0 into 0 67.903 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 67.905 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 67.907 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.907 * [backup-simplify]: Simplify 0 into 0 67.915 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 67.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 67.921 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.921 * [backup-simplify]: Simplify 0 into 0 67.933 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 67.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 67.941 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.941 * [backup-simplify]: Simplify 0 into 0 67.941 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 67.942 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 67.942 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 67.942 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 67.942 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.942 * [taylor]: Taking taylor expansion of 1/3 in K 67.942 * [backup-simplify]: Simplify 1/3 into 1/3 67.942 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.942 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.942 * [taylor]: Taking taylor expansion of 1/2 in K 67.942 * [backup-simplify]: Simplify 1/2 into 1/2 67.942 * [taylor]: Taking taylor expansion of K in K 67.942 * [backup-simplify]: Simplify 0 into 0 67.942 * [backup-simplify]: Simplify 1 into 1 67.943 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.943 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.944 * [backup-simplify]: Simplify (log 1) into 0 67.944 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.945 * [backup-simplify]: Simplify (+ 0) into 0 67.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.951 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.951 * [backup-simplify]: Simplify (exp 0) into 1 67.951 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.952 * [taylor]: Taking taylor expansion of 1/3 in K 67.952 * [backup-simplify]: Simplify 1/3 into 1/3 67.952 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.952 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.952 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.952 * [taylor]: Taking taylor expansion of 1/2 in K 67.952 * [backup-simplify]: Simplify 1/2 into 1/2 67.952 * [taylor]: Taking taylor expansion of K in K 67.952 * [backup-simplify]: Simplify 0 into 0 67.952 * [backup-simplify]: Simplify 1 into 1 67.952 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.953 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.953 * [backup-simplify]: Simplify (log 1) into 0 67.954 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.954 * [backup-simplify]: Simplify (+ 0) into 0 67.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.956 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.967 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.967 * [backup-simplify]: Simplify (exp 0) into 1 67.967 * [backup-simplify]: Simplify 1 into 1 67.968 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 67.968 * [backup-simplify]: Simplify 0 into 0 67.970 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 67.970 * [backup-simplify]: Simplify -1/24 into -1/24 67.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 67.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.978 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 67.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 67.982 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.982 * [backup-simplify]: Simplify 0 into 0 67.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 67.998 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 67.999 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 68.005 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 68.005 * [backup-simplify]: Simplify -1/1152 into -1/1152 68.005 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 68.006 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 68.006 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 68.006 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 68.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 68.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 68.006 * [taylor]: Taking taylor expansion of 1/3 in K 68.006 * [backup-simplify]: Simplify 1/3 into 1/3 68.006 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 68.006 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 68.006 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 68.006 * [taylor]: Taking taylor expansion of 1/2 in K 68.006 * [backup-simplify]: Simplify 1/2 into 1/2 68.006 * [taylor]: Taking taylor expansion of K in K 68.006 * [backup-simplify]: Simplify 0 into 0 68.006 * [backup-simplify]: Simplify 1 into 1 68.007 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 68.007 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 68.007 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 68.007 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 68.007 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 68.007 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 68.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 68.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 68.007 * [taylor]: Taking taylor expansion of 1/3 in K 68.007 * [backup-simplify]: Simplify 1/3 into 1/3 68.007 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 68.007 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 68.007 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 68.007 * [taylor]: Taking taylor expansion of 1/2 in K 68.007 * [backup-simplify]: Simplify 1/2 into 1/2 68.007 * [taylor]: Taking taylor expansion of K in K 68.007 * [backup-simplify]: Simplify 0 into 0 68.007 * [backup-simplify]: Simplify 1 into 1 68.008 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 68.008 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 68.008 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 68.008 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 68.008 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 68.009 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 68.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 68.010 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 68.011 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.011 * [backup-simplify]: Simplify 0 into 0 68.013 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 68.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 68.015 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.015 * [backup-simplify]: Simplify 0 into 0 68.018 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 68.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 68.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.021 * [backup-simplify]: Simplify 0 into 0 68.025 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 68.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 68.030 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.030 * [backup-simplify]: Simplify 0 into 0 68.038 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 68.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 68.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.044 * [backup-simplify]: Simplify 0 into 0 68.056 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 68.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 68.064 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.064 * [backup-simplify]: Simplify 0 into 0 68.064 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 68.064 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 68.064 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 68.064 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 68.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 68.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 68.065 * [taylor]: Taking taylor expansion of 1/3 in K 68.065 * [backup-simplify]: Simplify 1/3 into 1/3 68.065 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 68.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 68.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 68.065 * [taylor]: Taking taylor expansion of -1/2 in K 68.065 * [backup-simplify]: Simplify -1/2 into -1/2 68.065 * [taylor]: Taking taylor expansion of K in K 68.065 * [backup-simplify]: Simplify 0 into 0 68.065 * [backup-simplify]: Simplify 1 into 1 68.065 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 68.065 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 68.065 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 68.066 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 68.066 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 68.066 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 68.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 68.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 68.066 * [taylor]: Taking taylor expansion of 1/3 in K 68.066 * [backup-simplify]: Simplify 1/3 into 1/3 68.066 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 68.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 68.066 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 68.066 * [taylor]: Taking taylor expansion of -1/2 in K 68.066 * [backup-simplify]: Simplify -1/2 into -1/2 68.066 * [taylor]: Taking taylor expansion of K in K 68.066 * [backup-simplify]: Simplify 0 into 0 68.066 * [backup-simplify]: Simplify 1 into 1 68.066 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 68.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 68.067 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 68.067 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 68.067 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 68.067 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 68.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 68.068 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 68.069 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.069 * [backup-simplify]: Simplify 0 into 0 68.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 68.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 68.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.073 * [backup-simplify]: Simplify 0 into 0 68.076 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 68.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 68.078 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.078 * [backup-simplify]: Simplify 0 into 0 68.081 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 68.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 68.083 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.083 * [backup-simplify]: Simplify 0 into 0 68.087 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 68.088 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 68.090 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 68.091 * [backup-simplify]: Simplify 0 into 0 68.103 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 68.105 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 68.110 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.110 * [backup-simplify]: Simplify 0 into 0 68.110 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 68.111 * * * [progress]: simplifying candidates 68.111 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 68.111 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 68.111 * * [simplify]: iters left: 6 (22 enodes) 68.122 * * [simplify]: iters left: 5 (90 enodes) 68.146 * * [simplify]: iters left: 4 (201 enodes) 68.220 * * [simplify]: Extracting #0: cost 1 inf + 0 68.220 * * [simplify]: Extracting #1: cost 26 inf + 0 68.221 * * [simplify]: Extracting #2: cost 65 inf + 2 68.221 * * [simplify]: Extracting #3: cost 71 inf + 87 68.222 * * [simplify]: Extracting #4: cost 125 inf + 88 68.223 * * [simplify]: Extracting #5: cost 173 inf + 1827 68.228 * * [simplify]: Extracting #6: cost 66 inf + 27158 68.238 * * [simplify]: Extracting #7: cost 13 inf + 45572 68.249 * * [simplify]: Extracting #8: cost 0 inf + 50677 68.268 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 68.269 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 68.269 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 68.269 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 68.269 * * [simplify]: iters left: 6 (22 enodes) 68.281 * * [simplify]: iters left: 5 (90 enodes) 68.313 * * [simplify]: iters left: 4 (201 enodes) 68.392 * * [simplify]: Extracting #0: cost 1 inf + 0 68.392 * * [simplify]: Extracting #1: cost 26 inf + 0 68.392 * * [simplify]: Extracting #2: cost 65 inf + 2 68.393 * * [simplify]: Extracting #3: cost 71 inf + 87 68.393 * * [simplify]: Extracting #4: cost 125 inf + 88 68.394 * * [simplify]: Extracting #5: cost 173 inf + 1827 68.398 * * [simplify]: Extracting #6: cost 66 inf + 27158 68.410 * * [simplify]: Extracting #7: cost 13 inf + 45572 68.433 * * [simplify]: Extracting #8: cost 0 inf + 50677 68.459 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 68.459 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 68.459 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 68.460 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 68.460 * * [simplify]: iters left: 6 (22 enodes) 68.472 * * [simplify]: iters left: 5 (90 enodes) 68.503 * * [simplify]: iters left: 4 (201 enodes) 68.602 * * [simplify]: Extracting #0: cost 1 inf + 0 68.603 * * [simplify]: Extracting #1: cost 26 inf + 0 68.603 * * [simplify]: Extracting #2: cost 65 inf + 2 68.604 * * [simplify]: Extracting #3: cost 71 inf + 87 68.604 * * [simplify]: Extracting #4: cost 125 inf + 88 68.606 * * [simplify]: Extracting #5: cost 173 inf + 1827 68.615 * * [simplify]: Extracting #6: cost 66 inf + 27158 68.633 * * [simplify]: Extracting #7: cost 13 inf + 45572 68.645 * * [simplify]: Extracting #8: cost 0 inf + 50677 68.657 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 68.657 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 68.657 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 68.657 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 68.658 * * [simplify]: iters left: 6 (22 enodes) 68.666 * * [simplify]: iters left: 5 (90 enodes) 68.696 * * [simplify]: iters left: 4 (201 enodes) 68.764 * * [simplify]: Extracting #0: cost 1 inf + 0 68.764 * * [simplify]: Extracting #1: cost 26 inf + 0 68.765 * * [simplify]: Extracting #2: cost 65 inf + 2 68.765 * * [simplify]: Extracting #3: cost 71 inf + 87 68.765 * * [simplify]: Extracting #4: cost 125 inf + 88 68.766 * * [simplify]: Extracting #5: cost 173 inf + 1827 68.770 * * [simplify]: Extracting #6: cost 66 inf + 27158 68.780 * * [simplify]: Extracting #7: cost 13 inf + 45572 68.799 * * [simplify]: Extracting #8: cost 0 inf + 50677 68.813 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 68.814 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 68.814 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 68.814 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 68.814 * * [simplify]: iters left: 6 (22 enodes) 68.820 * * [simplify]: iters left: 5 (90 enodes) 68.839 * * [simplify]: iters left: 4 (201 enodes) 68.938 * * [simplify]: Extracting #0: cost 1 inf + 0 68.938 * * [simplify]: Extracting #1: cost 26 inf + 0 68.939 * * [simplify]: Extracting #2: cost 65 inf + 2 68.939 * * [simplify]: Extracting #3: cost 71 inf + 87 68.940 * * [simplify]: Extracting #4: cost 125 inf + 88 68.941 * * [simplify]: Extracting #5: cost 173 inf + 1827 68.950 * * [simplify]: Extracting #6: cost 66 inf + 27158 68.969 * * [simplify]: Extracting #7: cost 13 inf + 45572 68.992 * * [simplify]: Extracting #8: cost 0 inf + 50677 69.015 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 69.015 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 69.015 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 69.015 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 69.016 * * [simplify]: iters left: 6 (22 enodes) 69.027 * * [simplify]: iters left: 5 (90 enodes) 69.063 * * [simplify]: iters left: 4 (201 enodes) 69.143 * * [simplify]: Extracting #0: cost 1 inf + 0 69.144 * * [simplify]: Extracting #1: cost 26 inf + 0 69.144 * * [simplify]: Extracting #2: cost 65 inf + 2 69.144 * * [simplify]: Extracting #3: cost 71 inf + 87 69.144 * * [simplify]: Extracting #4: cost 125 inf + 88 69.145 * * [simplify]: Extracting #5: cost 173 inf + 1827 69.150 * * [simplify]: Extracting #6: cost 66 inf + 27158 69.159 * * [simplify]: Extracting #7: cost 13 inf + 45572 69.184 * * [simplify]: Extracting #8: cost 0 inf + 50677 69.207 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 69.207 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 69.208 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 69.208 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 69.208 * * [simplify]: iters left: 6 (22 enodes) 69.215 * * [simplify]: iters left: 5 (90 enodes) 69.231 * * [simplify]: iters left: 4 (201 enodes) 69.306 * * [simplify]: Extracting #0: cost 1 inf + 0 69.306 * * [simplify]: Extracting #1: cost 26 inf + 0 69.306 * * [simplify]: Extracting #2: cost 65 inf + 2 69.307 * * [simplify]: Extracting #3: cost 71 inf + 87 69.307 * * [simplify]: Extracting #4: cost 125 inf + 88 69.308 * * [simplify]: Extracting #5: cost 173 inf + 1827 69.312 * * [simplify]: Extracting #6: cost 66 inf + 27158 69.327 * * [simplify]: Extracting #7: cost 13 inf + 45572 69.343 * * [simplify]: Extracting #8: cost 0 inf + 50677 69.355 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 69.355 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 69.355 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 69.355 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 69.355 * * [simplify]: iters left: 6 (22 enodes) 69.361 * * [simplify]: iters left: 5 (90 enodes) 69.389 * * [simplify]: iters left: 4 (201 enodes) 69.444 * * [simplify]: Extracting #0: cost 1 inf + 0 69.444 * * [simplify]: Extracting #1: cost 26 inf + 0 69.445 * * [simplify]: Extracting #2: cost 65 inf + 2 69.445 * * [simplify]: Extracting #3: cost 71 inf + 87 69.446 * * [simplify]: Extracting #4: cost 125 inf + 88 69.447 * * [simplify]: Extracting #5: cost 173 inf + 1827 69.456 * * [simplify]: Extracting #6: cost 66 inf + 27158 69.476 * * [simplify]: Extracting #7: cost 13 inf + 45572 69.487 * * [simplify]: Extracting #8: cost 0 inf + 50677 69.500 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 69.500 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 69.500 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 69.501 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 69.501 * * [simplify]: iters left: 6 (22 enodes) 69.507 * * [simplify]: iters left: 5 (90 enodes) 69.524 * * [simplify]: iters left: 4 (201 enodes) 69.595 * * [simplify]: Extracting #0: cost 1 inf + 0 69.595 * * [simplify]: Extracting #1: cost 26 inf + 0 69.596 * * [simplify]: Extracting #2: cost 65 inf + 2 69.596 * * [simplify]: Extracting #3: cost 71 inf + 87 69.596 * * [simplify]: Extracting #4: cost 125 inf + 88 69.597 * * [simplify]: Extracting #5: cost 173 inf + 1827 69.602 * * [simplify]: Extracting #6: cost 66 inf + 27158 69.622 * * [simplify]: Extracting #7: cost 13 inf + 45572 69.646 * * [simplify]: Extracting #8: cost 0 inf + 50677 69.669 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 69.669 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 69.669 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 69.670 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 69.670 * * [simplify]: iters left: 6 (22 enodes) 69.681 * * [simplify]: iters left: 5 (90 enodes) 69.718 * * [simplify]: iters left: 4 (201 enodes) 69.779 * * [simplify]: Extracting #0: cost 1 inf + 0 69.779 * * [simplify]: Extracting #1: cost 26 inf + 0 69.780 * * [simplify]: Extracting #2: cost 65 inf + 2 69.780 * * [simplify]: Extracting #3: cost 71 inf + 87 69.781 * * [simplify]: Extracting #4: cost 125 inf + 88 69.783 * * [simplify]: Extracting #5: cost 173 inf + 1827 69.792 * * [simplify]: Extracting #6: cost 66 inf + 27158 69.816 * * [simplify]: Extracting #7: cost 13 inf + 45572 69.832 * * [simplify]: Extracting #8: cost 0 inf + 50677 69.843 * [simplify]: Simplified to (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 69.843 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 69.843 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 69.843 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 69.843 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (log (exp (cbrt (cos (/ K 2)))))) (log J)))) 69.844 * * [simplify]: iters left: 6 (27 enodes) 69.851 * * [simplify]: iters left: 5 (103 enodes) 69.879 * * [simplify]: iters left: 4 (214 enodes) 69.945 * * [simplify]: Extracting #0: cost 1 inf + 0 69.945 * * [simplify]: Extracting #1: cost 25 inf + 0 69.946 * * [simplify]: Extracting #2: cost 68 inf + 0 69.946 * * [simplify]: Extracting #3: cost 70 inf + 397 69.947 * * [simplify]: Extracting #4: cost 74 inf + 650 69.948 * * [simplify]: Extracting #5: cost 129 inf + 651 69.950 * * [simplify]: Extracting #6: cost 169 inf + 4397 69.960 * * [simplify]: Extracting #7: cost 58 inf + 35336 69.984 * * [simplify]: Extracting #8: cost 1 inf + 62103 70.012 * * [simplify]: Extracting #9: cost 0 inf + 62623 70.039 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))) 70.039 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))))) 70.039 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 70.040 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (log (exp (cbrt (cos (/ K 2))))) J)))) 70.044 * * [simplify]: iters left: 6 (26 enodes) 70.052 * * [simplify]: iters left: 5 (101 enodes) 70.070 * * [simplify]: iters left: 4 (204 enodes) 70.163 * * [simplify]: Extracting #0: cost 1 inf + 0 70.163 * * [simplify]: Extracting #1: cost 25 inf + 0 70.163 * * [simplify]: Extracting #2: cost 70 inf + 0 70.164 * * [simplify]: Extracting #3: cost 75 inf + 73 70.164 * * [simplify]: Extracting #4: cost 77 inf + 468 70.165 * * [simplify]: Extracting #5: cost 131 inf + 651 70.167 * * [simplify]: Extracting #6: cost 176 inf + 3233 70.174 * * [simplify]: Extracting #7: cost 83 inf + 24455 70.187 * * [simplify]: Extracting #8: cost 10 inf + 57324 70.200 * * [simplify]: Extracting #9: cost 0 inf + 63605 70.223 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (* J (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) 70.223 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (* J (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))))) 70.223 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 70.224 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (log (exp (cbrt (cos (/ K 2)))))) (log J)))) 70.224 * * [simplify]: iters left: 6 (27 enodes) 70.238 * * [simplify]: iters left: 5 (105 enodes) 70.265 * * [simplify]: iters left: 4 (202 enodes) 70.322 * * [simplify]: Extracting #0: cost 1 inf + 0 70.322 * * [simplify]: Extracting #1: cost 27 inf + 0 70.322 * * [simplify]: Extracting #2: cost 84 inf + 0 70.322 * * [simplify]: Extracting #3: cost 86 inf + 286 70.323 * * [simplify]: Extracting #4: cost 90 inf + 650 70.323 * * [simplify]: Extracting #5: cost 145 inf + 651 70.324 * * [simplify]: Extracting #6: cost 187 inf + 4113 70.328 * * [simplify]: Extracting #7: cost 91 inf + 29272 70.340 * * [simplify]: Extracting #8: cost 3 inf + 67535 70.362 * * [simplify]: Extracting #9: cost 0 inf + 69427 70.379 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt (cos (/ K 2))))) (+ (+ (log J) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 70.379 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt (cos (/ K 2))))) (+ (+ (log J) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))))) 70.380 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 70.380 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (log (exp (cbrt (cos (/ K 2))))) J)))) 70.380 * * [simplify]: iters left: 6 (26 enodes) 70.387 * * [simplify]: iters left: 5 (103 enodes) 70.414 * * [simplify]: iters left: 4 (195 enodes) 70.468 * * [simplify]: Extracting #0: cost 1 inf + 0 70.468 * * [simplify]: Extracting #1: cost 26 inf + 0 70.468 * * [simplify]: Extracting #2: cost 80 inf + 0 70.469 * * [simplify]: Extracting #3: cost 87 inf + 73 70.469 * * [simplify]: Extracting #4: cost 90 inf + 397 70.470 * * [simplify]: Extracting #5: cost 143 inf + 651 70.472 * * [simplify]: Extracting #6: cost 187 inf + 3438 70.481 * * [simplify]: Extracting #7: cost 80 inf + 31472 70.505 * * [simplify]: Extracting #8: cost 4 inf + 64761 70.532 * * [simplify]: Extracting #9: cost 0 inf + 67205 70.559 * * [simplify]: Extracting #10: cost 0 inf + 67127 70.573 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (* J (cbrt (cos (/ K 2))))) (log -2)))) 70.573 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (* J (cbrt (cos (/ K 2))))) (log -2)))))) 70.574 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 70.574 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 70.574 * * [simplify]: iters left: 6 (25 enodes) 70.581 * * [simplify]: iters left: 5 (100 enodes) 70.610 * * [simplify]: iters left: 4 (201 enodes) 70.667 * * [simplify]: Extracting #0: cost 1 inf + 0 70.667 * * [simplify]: Extracting #1: cost 19 inf + 0 70.668 * * [simplify]: Extracting #2: cost 69 inf + 0 70.668 * * [simplify]: Extracting #3: cost 83 inf + 73 70.669 * * [simplify]: Extracting #4: cost 88 inf + 468 70.669 * * [simplify]: Extracting #5: cost 141 inf + 470 70.671 * * [simplify]: Extracting #6: cost 180 inf + 4071 70.681 * * [simplify]: Extracting #7: cost 66 inf + 33154 70.692 * * [simplify]: Extracting #8: cost 2 inf + 60421 70.707 * * [simplify]: Extracting #9: cost 0 inf + 61732 70.720 * * [simplify]: Extracting #10: cost 0 inf + 61662 70.743 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))) 70.743 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))))) 70.743 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 70.744 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (log (exp (cbrt (cos (/ K 2)))))) (log J)))) 70.744 * * [simplify]: iters left: 6 (26 enodes) 70.758 * * [simplify]: iters left: 5 (101 enodes) 70.791 * * [simplify]: iters left: 4 (205 enodes) 70.857 * * [simplify]: Extracting #0: cost 1 inf + 0 70.858 * * [simplify]: Extracting #1: cost 24 inf + 0 70.858 * * [simplify]: Extracting #2: cost 67 inf + 0 70.858 * * [simplify]: Extracting #3: cost 71 inf + 73 70.859 * * [simplify]: Extracting #4: cost 72 inf + 650 70.860 * * [simplify]: Extracting #5: cost 127 inf + 651 70.861 * * [simplify]: Extracting #6: cost 172 inf + 2995 70.869 * * [simplify]: Extracting #7: cost 77 inf + 24663 70.885 * * [simplify]: Extracting #8: cost 24 inf + 45890 70.908 * * [simplify]: Extracting #9: cost 3 inf + 57972 70.935 * * [simplify]: Extracting #10: cost 0 inf + 59574 70.955 * [simplify]: Simplified to (+ (+ (+ (+ (log J) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) 70.955 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (+ (log J) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))) 70.955 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 70.955 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (log (exp (cbrt (cos (/ K 2))))) J)))) 70.956 * * [simplify]: iters left: 6 (25 enodes) 70.966 * * [simplify]: iters left: 5 (99 enodes) 70.983 * * [simplify]: iters left: 4 (194 enodes) 71.044 * * [simplify]: Extracting #0: cost 1 inf + 0 71.044 * * [simplify]: Extracting #1: cost 23 inf + 0 71.044 * * [simplify]: Extracting #2: cost 62 inf + 0 71.045 * * [simplify]: Extracting #3: cost 68 inf + 2 71.045 * * [simplify]: Extracting #4: cost 70 inf + 286 71.046 * * [simplify]: Extracting #5: cost 125 inf + 287 71.048 * * [simplify]: Extracting #6: cost 170 inf + 2480 71.055 * * [simplify]: Extracting #7: cost 68 inf + 28102 71.068 * * [simplify]: Extracting #8: cost 7 inf + 53905 71.080 * * [simplify]: Extracting #9: cost 0 inf + 58330 71.103 * [simplify]: Simplified to (+ (log (cbrt (cos (/ K 2)))) (+ (log (* J (cbrt (cos (/ K 2))))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))))) 71.103 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (cos (/ K 2)))) (+ (log (* J (cbrt (cos (/ K 2))))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))))))) 71.103 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 71.104 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (log (exp (cbrt (cos (/ K 2)))))) (log J)))) 71.104 * * [simplify]: iters left: 6 (26 enodes) 71.116 * * [simplify]: iters left: 5 (103 enodes) 71.132 * * [simplify]: iters left: 4 (194 enodes) 71.197 * * [simplify]: Extracting #0: cost 1 inf + 0 71.197 * * [simplify]: Extracting #1: cost 25 inf + 0 71.198 * * [simplify]: Extracting #2: cost 76 inf + 0 71.198 * * [simplify]: Extracting #3: cost 81 inf + 73 71.199 * * [simplify]: Extracting #4: cost 84 inf + 286 71.200 * * [simplify]: Extracting #5: cost 137 inf + 651 71.201 * * [simplify]: Extracting #6: cost 183 inf + 2641 71.205 * * [simplify]: Extracting #7: cost 79 inf + 27850 71.216 * * [simplify]: Extracting #8: cost 8 inf + 58419 71.230 * * [simplify]: Extracting #9: cost 0 inf + 63432 71.252 * * [simplify]: Extracting #10: cost 0 inf + 63284 71.272 * [simplify]: Simplified to (+ (+ (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) 71.272 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))) 71.272 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 71.272 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (log (exp (cbrt (cos (/ K 2))))) J)))) 71.272 * * [simplify]: iters left: 6 (25 enodes) 71.282 * * [simplify]: iters left: 5 (101 enodes) 71.301 * * [simplify]: iters left: 4 (189 enodes) 71.356 * * [simplify]: Extracting #0: cost 1 inf + 0 71.356 * * [simplify]: Extracting #1: cost 24 inf + 0 71.357 * * [simplify]: Extracting #2: cost 69 inf + 0 71.357 * * [simplify]: Extracting #3: cost 75 inf + 215 71.357 * * [simplify]: Extracting #4: cost 80 inf + 286 71.357 * * [simplify]: Extracting #5: cost 135 inf + 287 71.358 * * [simplify]: Extracting #6: cost 176 inf + 3020 71.367 * * [simplify]: Extracting #7: cost 62 inf + 32041 71.379 * * [simplify]: Extracting #8: cost 14 inf + 51362 71.402 * * [simplify]: Extracting #9: cost 0 inf + 60771 71.425 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))) (log (cbrt (cos (/ K 2))))) (log J)) 71.425 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))) (log (cbrt (cos (/ K 2))))) (log J)))) 71.426 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 71.426 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 71.427 * * [simplify]: iters left: 6 (24 enodes) 71.439 * * [simplify]: iters left: 5 (98 enodes) 71.459 * * [simplify]: iters left: 4 (199 enodes) 71.517 * * [simplify]: Extracting #0: cost 1 inf + 0 71.517 * * [simplify]: Extracting #1: cost 19 inf + 0 71.517 * * [simplify]: Extracting #2: cost 62 inf + 0 71.518 * * [simplify]: Extracting #3: cost 75 inf + 73 71.518 * * [simplify]: Extracting #4: cost 81 inf + 286 71.519 * * [simplify]: Extracting #5: cost 134 inf + 288 71.521 * * [simplify]: Extracting #6: cost 182 inf + 1825 71.529 * * [simplify]: Extracting #7: cost 88 inf + 23379 71.544 * * [simplify]: Extracting #8: cost 27 inf + 43105 71.564 * * [simplify]: Extracting #9: cost 3 inf + 54763 71.586 * * [simplify]: Extracting #10: cost 0 inf + 56860 71.601 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J))) 71.601 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J))))) 71.601 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 71.601 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 71.601 * * * * [progress]: [ 24 / 95 ] simplifiying candidate # 71.601 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) (log (exp (cbrt (cos (/ K 2)))))) (log (exp (cbrt (cos (/ K 2)))))) (* (* J J) J)))) 71.602 * * [simplify]: iters left: 6 (30 enodes) 71.610 * * [simplify]: iters left: 5 (124 enodes) 71.648 * * [simplify]: iters left: 4 (347 enodes) 71.894 * * [simplify]: Extracting #0: cost 1 inf + 0 71.894 * * [simplify]: Extracting #1: cost 86 inf + 0 71.896 * * [simplify]: Extracting #2: cost 384 inf + 45 71.899 * * [simplify]: Extracting #3: cost 520 inf + 250 71.905 * * [simplify]: Extracting #4: cost 566 inf + 6683 71.927 * * [simplify]: Extracting #5: cost 333 inf + 64919 71.984 * * [simplify]: Extracting #6: cost 128 inf + 149130 72.062 * * [simplify]: Extracting #7: cost 5 inf + 210638 72.134 * * [simplify]: Extracting #8: cost 0 inf + 212966 72.240 * [simplify]: Simplified to (* J (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) -8) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) J)) 72.240 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* J (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) -8) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) J)))) 72.240 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 72.240 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) J) (* (log (exp (cbrt (cos (/ K 2))))) J)) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 72.241 * * [simplify]: iters left: 6 (28 enodes) 72.256 * * [simplify]: iters left: 5 (122 enodes) 72.304 * * [simplify]: iters left: 4 (353 enodes) 72.551 * * [simplify]: Extracting #0: cost 1 inf + 0 72.551 * * [simplify]: Extracting #1: cost 90 inf + 0 72.552 * * [simplify]: Extracting #2: cost 393 inf + 45 72.554 * * [simplify]: Extracting #3: cost 510 inf + 462 72.559 * * [simplify]: Extracting #4: cost 476 inf + 24327 72.603 * * [simplify]: Extracting #5: cost 148 inf + 151156 72.700 * * [simplify]: Extracting #6: cost 4 inf + 223905 72.785 * * [simplify]: Extracting #7: cost 0 inf + 223130 72.895 * * [simplify]: Extracting #8: cost 0 inf + 223090 72.976 * [simplify]: Simplified to (* -8 (* (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) J) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) 72.977 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* -8 (* (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) J) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) 72.977 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 72.977 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) (log (exp (cbrt (cos (/ K 2)))))) (log (exp (cbrt (cos (/ K 2)))))) (* (* J J) J)))) 72.978 * * [simplify]: iters left: 6 (32 enodes) 72.996 * * [simplify]: iters left: 5 (147 enodes) 73.047 * * [simplify]: iters left: 4 (437 enodes) 73.393 * * [simplify]: Extracting #0: cost 1 inf + 0 73.393 * * [simplify]: Extracting #1: cost 102 inf + 0 73.394 * * [simplify]: Extracting #2: cost 477 inf + 4 73.399 * * [simplify]: Extracting #3: cost 611 inf + 495 73.403 * * [simplify]: Extracting #4: cost 665 inf + 5712 73.413 * * [simplify]: Extracting #5: cost 453 inf + 60036 73.459 * * [simplify]: Extracting #6: cost 159 inf + 177570 73.529 * * [simplify]: Extracting #7: cost 5 inf + 257299 73.646 * * [simplify]: Extracting #8: cost 0 inf + 259266 73.732 * [simplify]: Simplified to (* (* (* -8 (* (* J J) (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cos (/ K 2)))) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) 73.732 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (* (* J J) (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cos (/ K 2)))) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) 73.732 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 73.733 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) J) (* (log (exp (cbrt (cos (/ K 2))))) J)) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 73.733 * * [simplify]: iters left: 6 (30 enodes) 73.742 * * [simplify]: iters left: 5 (144 enodes) 73.779 * * [simplify]: Extracting #0: cost 1 inf + 0 73.780 * * [simplify]: Extracting #1: cost 38 inf + 0 73.780 * * [simplify]: Extracting #2: cost 148 inf + 3 73.780 * * [simplify]: Extracting #3: cost 179 inf + 47 73.781 * * [simplify]: Extracting #4: cost 190 inf + 174 73.782 * * [simplify]: Extracting #5: cost 186 inf + 588 73.783 * * [simplify]: Extracting #6: cost 163 inf + 5344 73.787 * * [simplify]: Extracting #7: cost 105 inf + 21693 73.798 * * [simplify]: Extracting #8: cost 12 inf + 66123 73.826 * * [simplify]: Extracting #9: cost 0 inf + 68202 73.841 * * [simplify]: Extracting #10: cost 0 inf + 67940 73.859 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)) (* (* (cbrt (cos (/ K 2))) J) (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)))) 73.860 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)) (* (* (cbrt (cos (/ K 2))) J) (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)))))) 73.860 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 73.860 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 73.861 * * [simplify]: iters left: 6 (28 enodes) 73.877 * * [simplify]: iters left: 5 (123 enodes) 73.936 * * [simplify]: iters left: 4 (417 enodes) 74.475 * * [simplify]: Extracting #0: cost 1 inf + 0 74.476 * * [simplify]: Extracting #1: cost 97 inf + 0 74.478 * * [simplify]: Extracting #2: cost 477 inf + 4 74.480 * * [simplify]: Extracting #3: cost 593 inf + 88 74.483 * * [simplify]: Extracting #4: cost 647 inf + 595 74.489 * * [simplify]: Extracting #5: cost 536 inf + 26250 74.540 * * [simplify]: Extracting #6: cost 198 inf + 172353 74.670 * * [simplify]: Extracting #7: cost 6 inf + 279100 74.796 * * [simplify]: Extracting #8: cost 0 inf + 283096 74.959 * [simplify]: Simplified to (* (* -8 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J)))) 74.960 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* -8 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) J)))))) 74.960 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 74.961 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) (log (exp (cbrt (cos (/ K 2)))))) (log (exp (cbrt (cos (/ K 2)))))) (* (* J J) J)))) 74.961 * * [simplify]: iters left: 6 (28 enodes) 74.977 * * [simplify]: iters left: 5 (124 enodes) 75.025 * * [simplify]: iters left: 4 (329 enodes) 75.197 * * [simplify]: Extracting #0: cost 1 inf + 0 75.197 * * [simplify]: Extracting #1: cost 79 inf + 0 75.198 * * [simplify]: Extracting #2: cost 339 inf + 44 75.199 * * [simplify]: Extracting #3: cost 430 inf + 169 75.202 * * [simplify]: Extracting #4: cost 488 inf + 4287 75.218 * * [simplify]: Extracting #5: cost 224 inf + 89804 75.299 * * [simplify]: Extracting #6: cost 25 inf + 177013 75.391 * * [simplify]: Extracting #7: cost 0 inf + 188642 75.486 * * [simplify]: Extracting #8: cost 0 inf + 188240 75.550 * [simplify]: Simplified to (* (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) J)) (* J J)) 75.550 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) J)) (* J J)))) 75.551 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 75.551 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) J) (* (log (exp (cbrt (cos (/ K 2))))) J)) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 75.551 * * [simplify]: iters left: 6 (26 enodes) 75.564 * * [simplify]: iters left: 5 (122 enodes) 75.612 * * [simplify]: iters left: 4 (335 enodes) 75.744 * * [simplify]: Extracting #0: cost 1 inf + 0 75.745 * * [simplify]: Extracting #1: cost 70 inf + 0 75.746 * * [simplify]: Extracting #2: cost 332 inf + 2 75.747 * * [simplify]: Extracting #3: cost 351 inf + 249 75.749 * * [simplify]: Extracting #4: cost 384 inf + 3322 75.757 * * [simplify]: Extracting #5: cost 320 inf + 41738 75.791 * * [simplify]: Extracting #6: cost 99 inf + 130570 75.878 * * [simplify]: Extracting #7: cost 0 inf + 186943 75.954 * * [simplify]: Extracting #8: cost 0 inf + 186823 76.038 * [simplify]: Simplified to (* (* (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* J (cbrt (cos (/ K 2))))) 76.038 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* J (cbrt (cos (/ K 2))))))) 76.038 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 76.039 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) (log (exp (cbrt (cos (/ K 2)))))) (log (exp (cbrt (cos (/ K 2)))))) (* (* J J) J)))) 76.039 * * [simplify]: iters left: 6 (30 enodes) 76.048 * * [simplify]: iters left: 5 (147 enodes) 76.111 * * [simplify]: iters left: 4 (419 enodes) 76.756 * * [simplify]: Extracting #0: cost 1 inf + 0 76.756 * * [simplify]: Extracting #1: cost 87 inf + 0 76.758 * * [simplify]: Extracting #2: cost 418 inf + 44 76.760 * * [simplify]: Extracting #3: cost 501 inf + 373 76.764 * * [simplify]: Extracting #4: cost 570 inf + 2895 76.781 * * [simplify]: Extracting #5: cost 344 inf + 69683 76.841 * * [simplify]: Extracting #6: cost 50 inf + 207577 76.928 * * [simplify]: Extracting #7: cost 1 inf + 230661 77.023 * * [simplify]: Extracting #8: cost 0 inf + 230926 77.115 * * [simplify]: Extracting #9: cost 0 inf + 230886 77.200 * [simplify]: Simplified to (* (* (* (* (* (cos (/ K 2)) (* J J)) (* (cos (/ K 2)) (cos (/ K 2)))) J) (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) -8)) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 77.200 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cos (/ K 2)) (* J J)) (* (cos (/ K 2)) (cos (/ K 2)))) J) (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) -8)) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 77.200 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 77.200 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (log (exp (cbrt (cos (/ K 2))))) J) (* (log (exp (cbrt (cos (/ K 2))))) J)) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 77.201 * * [simplify]: iters left: 6 (28 enodes) 77.218 * * [simplify]: iters left: 5 (144 enodes) 77.281 * * [simplify]: iters left: 4 (490 enodes) 77.771 * * [simplify]: Extracting #0: cost 1 inf + 0 77.772 * * [simplify]: Extracting #1: cost 104 inf + 0 77.775 * * [simplify]: Extracting #2: cost 514 inf + 3 77.779 * * [simplify]: Extracting #3: cost 615 inf + 260 77.786 * * [simplify]: Extracting #4: cost 684 inf + 1918 77.815 * * [simplify]: Extracting #5: cost 440 inf + 79768 77.914 * * [simplify]: Extracting #6: cost 89 inf + 237548 78.024 * * [simplify]: Extracting #7: cost 0 inf + 276834 78.140 * * [simplify]: Extracting #8: cost 0 inf + 276072 78.252 * [simplify]: Simplified to (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (* (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) -8) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 78.252 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (* (* (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) -8) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) 78.252 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 78.253 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 78.253 * * [simplify]: iters left: 6 (26 enodes) 78.269 * * [simplify]: iters left: 5 (123 enodes) 78.296 * * [simplify]: iters left: 4 (398 enodes) 78.746 * * [simplify]: Extracting #0: cost 1 inf + 0 78.746 * * [simplify]: Extracting #1: cost 76 inf + 0 78.749 * * [simplify]: Extracting #2: cost 406 inf + 2 78.752 * * [simplify]: Extracting #3: cost 424 inf + 258 78.756 * * [simplify]: Extracting #4: cost 476 inf + 301 78.770 * * [simplify]: Extracting #5: cost 438 inf + 32733 78.838 * * [simplify]: Extracting #6: cost 153 inf + 161952 78.950 * * [simplify]: Extracting #7: cost 4 inf + 246126 79.066 * * [simplify]: Extracting #8: cost 0 inf + 248183 79.160 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J (cbrt (cos (/ K 2))))))) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J (cbrt (cos (/ K 2)))))))) 79.160 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J (cbrt (cos (/ K 2))))))) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J (cbrt (cos (/ K 2)))))))))) 79.160 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 79.160 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 79.160 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 79.160 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 79.160 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 79.160 * [simplify]: Simplifying (* (log (exp (cbrt (cos (/ K 2))))) J) 79.161 * * [simplify]: iters left: 6 (9 enodes) 79.163 * * [simplify]: iters left: 5 (26 enodes) 79.167 * * [simplify]: Extracting #0: cost 1 inf + 0 79.167 * * [simplify]: Extracting #1: cost 4 inf + 0 79.167 * * [simplify]: Extracting #2: cost 6 inf + 1 79.167 * * [simplify]: Extracting #3: cost 9 inf + 1 79.167 * * [simplify]: Extracting #4: cost 12 inf + 1 79.167 * * [simplify]: Extracting #5: cost 10 inf + 3 79.167 * * [simplify]: Extracting #6: cost 6 inf + 291 79.167 * * [simplify]: Extracting #7: cost 2 inf + 1200 79.167 * * [simplify]: Extracting #8: cost 0 inf + 1605 79.168 * [simplify]: Simplified to (* J (cbrt (cos (/ K 2)))) 79.168 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* J (cbrt (cos (/ K 2)))))) 79.168 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 79.168 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 79.168 * * [simplify]: iters left: 6 (13 enodes) 79.174 * * [simplify]: iters left: 5 (52 enodes) 79.189 * * [simplify]: iters left: 4 (105 enodes) 79.216 * * [simplify]: iters left: 3 (359 enodes) 79.464 * * [simplify]: Extracting #0: cost 1 inf + 0 79.464 * * [simplify]: Extracting #1: cost 3 inf + 0 79.464 * * [simplify]: Extracting #2: cost 6 inf + 0 79.465 * * [simplify]: Extracting #3: cost 118 inf + 1 79.471 * * [simplify]: Extracting #4: cost 235 inf + 336 79.474 * * [simplify]: Extracting #5: cost 193 inf + 4402 79.482 * * [simplify]: Extracting #6: cost 119 inf + 19348 79.507 * * [simplify]: Extracting #7: cost 7 inf + 46040 79.536 * * [simplify]: Extracting #8: cost 0 inf + 47488 79.565 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 79.565 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))))) 79.565 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 79.565 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 79.566 * * [simplify]: iters left: 6 (25 enodes) 79.580 * * [simplify]: iters left: 5 (108 enodes) 79.623 * * [simplify]: iters left: 4 (272 enodes) 79.733 * * [simplify]: Extracting #0: cost 1 inf + 0 79.734 * * [simplify]: Extracting #1: cost 26 inf + 0 79.734 * * [simplify]: Extracting #2: cost 68 inf + 2 79.734 * * [simplify]: Extracting #3: cost 74 inf + 87 79.735 * * [simplify]: Extracting #4: cost 175 inf + 88 79.736 * * [simplify]: Extracting #5: cost 375 inf + 2613 79.743 * * [simplify]: Extracting #6: cost 288 inf + 41209 79.776 * * [simplify]: Extracting #7: cost 22 inf + 133376 79.811 * * [simplify]: Extracting #8: cost 0 inf + 139021 79.845 * * [simplify]: Extracting #9: cost 0 inf + 138942 79.901 * [simplify]: Simplified to (* (* (* (* (* J (cbrt (cos (/ K 2)))) -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 79.901 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* (* (* J (cbrt (cos (/ K 2)))) -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 79.902 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 79.902 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))) 79.902 * * [simplify]: iters left: 6 (24 enodes) 79.909 * * [simplify]: iters left: 5 (100 enodes) 79.927 * * [simplify]: iters left: 4 (243 enodes) 80.030 * * [simplify]: Extracting #0: cost 1 inf + 0 80.031 * * [simplify]: Extracting #1: cost 25 inf + 0 80.031 * * [simplify]: Extracting #2: cost 65 inf + 2 80.031 * * [simplify]: Extracting #3: cost 74 inf + 87 80.031 * * [simplify]: Extracting #4: cost 164 inf + 89 80.033 * * [simplify]: Extracting #5: cost 327 inf + 1991 80.043 * * [simplify]: Extracting #6: cost 146 inf + 58572 80.067 * * [simplify]: Extracting #7: cost 0 inf + 108287 80.094 * * [simplify]: Extracting #8: cost 0 inf + 107923 80.121 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (* (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* -2 (cbrt (cos (/ K 2))))))) 80.121 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (* (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* -2 (cbrt (cos (/ K 2))))))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 80.121 * * * * [progress]: [ 42 / 95 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))))))> 80.122 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 80.122 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 80.122 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 80.122 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 80.122 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 80.122 * * * * [progress]: [ 48 / 95 ] simplifiying candidate # 80.122 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 80.122 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 80.122 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 80.123 * * [simplify]: iters left: 6 (15 enodes) 80.128 * * [simplify]: iters left: 5 (59 enodes) 80.147 * * [simplify]: iters left: 4 (112 enodes) 80.199 * * [simplify]: iters left: 3 (365 enodes) 80.479 * * [simplify]: Extracting #0: cost 1 inf + 0 80.479 * * [simplify]: Extracting #1: cost 4 inf + 0 80.479 * * [simplify]: Extracting #2: cost 7 inf + 0 80.479 * * [simplify]: Extracting #3: cost 10 inf + 0 80.479 * * [simplify]: Extracting #4: cost 122 inf + 1 80.481 * * [simplify]: Extracting #5: cost 241 inf + 89 80.482 * * [simplify]: Extracting #6: cost 203 inf + 3666 80.486 * * [simplify]: Extracting #7: cost 128 inf + 17960 80.505 * * [simplify]: Extracting #8: cost 13 inf + 45848 80.519 * * [simplify]: Extracting #9: cost 0 inf + 48961 80.541 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 80.541 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 80.541 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 80.542 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 80.542 * * [simplify]: iters left: 6 (14 enodes) 80.546 * * [simplify]: iters left: 5 (55 enodes) 80.556 * * [simplify]: iters left: 4 (108 enodes) 80.594 * * [simplify]: iters left: 3 (363 enodes) 80.849 * * [simplify]: Extracting #0: cost 1 inf + 0 80.849 * * [simplify]: Extracting #1: cost 3 inf + 0 80.849 * * [simplify]: Extracting #2: cost 5 inf + 0 80.849 * * [simplify]: Extracting #3: cost 8 inf + 0 80.849 * * [simplify]: Extracting #4: cost 123 inf + 1 80.850 * * [simplify]: Extracting #5: cost 234 inf + 420 80.852 * * [simplify]: Extracting #6: cost 203 inf + 3175 80.857 * * [simplify]: Extracting #7: cost 127 inf + 18949 80.872 * * [simplify]: Extracting #8: cost 7 inf + 46860 80.901 * * [simplify]: Extracting #9: cost 0 inf + 48232 80.930 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 80.931 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 80.931 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 80.931 * [simplify]: Simplifying (sqrt 1) 80.931 * * [simplify]: iters left: 1 (2 enodes) 80.935 * * [simplify]: Extracting #0: cost 1 inf + 0 80.935 * * [simplify]: Extracting #1: cost 0 inf + 1 80.935 * [simplify]: Simplified to 1 80.935 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 80.935 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 80.935 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 80.936 * * [simplify]: iters left: 6 (16 enodes) 80.949 * * [simplify]: iters left: 5 (70 enodes) 80.978 * * [simplify]: iters left: 4 (176 enodes) 81.069 * * [simplify]: Extracting #0: cost 1 inf + 0 81.069 * * [simplify]: Extracting #1: cost 3 inf + 0 81.069 * * [simplify]: Extracting #2: cost 6 inf + 0 81.069 * * [simplify]: Extracting #3: cost 103 inf + 1 81.070 * * [simplify]: Extracting #4: cost 306 inf + 6 81.071 * * [simplify]: Extracting #5: cost 338 inf + 1810 81.075 * * [simplify]: Extracting #6: cost 242 inf + 27932 81.099 * * [simplify]: Extracting #7: cost 28 inf + 100762 81.147 * * [simplify]: Extracting #8: cost 0 inf + 110036 81.177 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 81.177 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 81.177 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 81.177 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 81.178 * * [simplify]: iters left: 6 (15 enodes) 81.182 * * [simplify]: iters left: 5 (62 enodes) 81.197 * * [simplify]: iters left: 4 (150 enodes) 81.296 * * [simplify]: Extracting #0: cost 1 inf + 0 81.296 * * [simplify]: Extracting #1: cost 3 inf + 0 81.296 * * [simplify]: Extracting #2: cost 9 inf + 0 81.296 * * [simplify]: Extracting #3: cost 105 inf + 2 81.297 * * [simplify]: Extracting #4: cost 286 inf + 6 81.298 * * [simplify]: Extracting #5: cost 280 inf + 1923 81.303 * * [simplify]: Extracting #6: cost 191 inf + 25190 81.329 * * [simplify]: Extracting #7: cost 26 inf + 76271 81.364 * * [simplify]: Extracting #8: cost 0 inf + 85028 81.384 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 81.384 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 81.385 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 81.385 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 81.385 * * [simplify]: iters left: 6 (12 enodes) 81.389 * * [simplify]: iters left: 5 (49 enodes) 81.398 * * [simplify]: iters left: 4 (102 enodes) 81.448 * * [simplify]: iters left: 3 (356 enodes) 81.712 * * [simplify]: Extracting #0: cost 1 inf + 0 81.712 * * [simplify]: Extracting #1: cost 4 inf + 0 81.712 * * [simplify]: Extracting #2: cost 116 inf + 1 81.715 * * [simplify]: Extracting #3: cost 234 inf + 254 81.718 * * [simplify]: Extracting #4: cost 192 inf + 4198 81.727 * * [simplify]: Extracting #5: cost 121 inf + 19235 81.749 * * [simplify]: Extracting #6: cost 5 inf + 46310 81.763 * * [simplify]: Extracting #7: cost 0 inf + 47117 81.777 * * [simplify]: Extracting #8: cost 0 inf + 46998 81.794 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 81.795 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 81.795 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 81.795 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 81.795 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 81.795 * * [simplify]: iters left: 6 (13 enodes) 81.802 * * [simplify]: iters left: 5 (52 enodes) 81.813 * * [simplify]: iters left: 4 (105 enodes) 81.840 * * [simplify]: iters left: 3 (359 enodes) 82.107 * * [simplify]: Extracting #0: cost 1 inf + 0 82.108 * * [simplify]: Extracting #1: cost 3 inf + 0 82.108 * * [simplify]: Extracting #2: cost 6 inf + 0 82.108 * * [simplify]: Extracting #3: cost 118 inf + 1 82.110 * * [simplify]: Extracting #4: cost 235 inf + 336 82.113 * * [simplify]: Extracting #5: cost 193 inf + 4402 82.117 * * [simplify]: Extracting #6: cost 119 inf + 19348 82.132 * * [simplify]: Extracting #7: cost 7 inf + 46040 82.149 * * [simplify]: Extracting #8: cost 0 inf + 47488 82.167 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 82.167 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.167 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 82.167 * * * * [progress]: [ 59 / 95 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J))))> 82.168 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 82.168 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 82.168 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 82.168 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 82.168 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 82.168 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 82.168 * * [simplify]: iters left: 6 (7 enodes) 82.170 * * [simplify]: iters left: 5 (21 enodes) 82.173 * * [simplify]: Extracting #0: cost 1 inf + 0 82.173 * * [simplify]: Extracting #1: cost 3 inf + 0 82.173 * * [simplify]: Extracting #2: cost 5 inf + 0 82.173 * * [simplify]: Extracting #3: cost 7 inf + 0 82.173 * * [simplify]: Extracting #4: cost 9 inf + 0 82.173 * * [simplify]: Extracting #5: cost 12 inf + 0 82.173 * * [simplify]: Extracting #6: cost 10 inf + 2 82.174 * * [simplify]: Extracting #7: cost 1 inf + 1400 82.174 * * [simplify]: Extracting #8: cost 0 inf + 1702 82.174 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 82.174 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) J)))) 82.174 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 82.174 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 82.174 * * [simplify]: iters left: 5 (6 enodes) 82.176 * * [simplify]: iters left: 4 (18 enodes) 82.178 * * [simplify]: Extracting #0: cost 1 inf + 0 82.179 * * [simplify]: Extracting #1: cost 3 inf + 0 82.179 * * [simplify]: Extracting #2: cost 5 inf + 0 82.179 * * [simplify]: Extracting #3: cost 7 inf + 0 82.179 * * [simplify]: Extracting #4: cost 10 inf + 0 82.179 * * [simplify]: Extracting #5: cost 8 inf + 2 82.179 * * [simplify]: Extracting #6: cost 0 inf + 1018 82.179 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 82.179 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) J)))) 82.179 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 82.179 * [simplify]: Simplifying (cbrt 1) 82.179 * * [simplify]: iters left: 1 (2 enodes) 82.181 * * [simplify]: Extracting #0: cost 1 inf + 0 82.181 * * [simplify]: Extracting #1: cost 0 inf + 1 82.181 * [simplify]: Simplified to 1 82.181 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (* 1 (cbrt (cos (/ K 2)))))) J)))) 82.181 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 82.181 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 82.182 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 82.182 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 82.182 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))))) J))))> 82.182 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 82.182 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 82.182 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 82.182 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 82.182 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 82.182 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 82.182 * * [simplify]: iters left: 6 (7 enodes) 82.184 * * [simplify]: iters left: 5 (21 enodes) 82.189 * * [simplify]: Extracting #0: cost 1 inf + 0 82.189 * * [simplify]: Extracting #1: cost 3 inf + 0 82.189 * * [simplify]: Extracting #2: cost 5 inf + 0 82.190 * * [simplify]: Extracting #3: cost 7 inf + 0 82.190 * * [simplify]: Extracting #4: cost 9 inf + 0 82.190 * * [simplify]: Extracting #5: cost 12 inf + 0 82.190 * * [simplify]: Extracting #6: cost 10 inf + 2 82.190 * * [simplify]: Extracting #7: cost 1 inf + 1400 82.191 * * [simplify]: Extracting #8: cost 0 inf + 1702 82.191 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 82.191 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.191 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 82.192 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 82.192 * * [simplify]: iters left: 5 (6 enodes) 82.195 * * [simplify]: iters left: 4 (18 enodes) 82.200 * * [simplify]: Extracting #0: cost 1 inf + 0 82.200 * * [simplify]: Extracting #1: cost 3 inf + 0 82.200 * * [simplify]: Extracting #2: cost 5 inf + 0 82.200 * * [simplify]: Extracting #3: cost 7 inf + 0 82.200 * * [simplify]: Extracting #4: cost 10 inf + 0 82.200 * * [simplify]: Extracting #5: cost 8 inf + 2 82.201 * * [simplify]: Extracting #6: cost 0 inf + 1018 82.201 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 82.201 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.201 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 82.201 * [simplify]: Simplifying (cbrt 1) 82.201 * * [simplify]: iters left: 1 (2 enodes) 82.204 * * [simplify]: Extracting #0: cost 1 inf + 0 82.205 * * [simplify]: Extracting #1: cost 0 inf + 1 82.205 * [simplify]: Simplified to 1 82.205 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2))))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.205 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 82.205 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 82.205 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 82.205 * * * * [progress]: [ 82 / 95 ] simplifiying candidate # 82.205 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (* (log (exp (cbrt (cos (/ K 2))))) J))))> 82.205 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 82.205 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 82.205 * * [simplify]: iters left: 6 (10 enodes) 82.208 * * [simplify]: iters left: 5 (43 enodes) 82.216 * * [simplify]: iters left: 4 (79 enodes) 82.231 * * [simplify]: iters left: 3 (118 enodes) 82.265 * * [simplify]: iters left: 2 (171 enodes) 82.319 * * [simplify]: iters left: 1 (242 enodes) 82.377 * * [simplify]: Extracting #0: cost 1 inf + 0 82.377 * * [simplify]: Extracting #1: cost 6 inf + 0 82.377 * * [simplify]: Extracting #2: cost 41 inf + 0 82.378 * * [simplify]: Extracting #3: cost 56 inf + 213 82.379 * * [simplify]: Extracting #4: cost 20 inf + 2732 82.382 * * [simplify]: Extracting #5: cost 1 inf + 4576 82.385 * * [simplify]: Extracting #6: cost 0 inf + 4698 82.388 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 82.388 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 82.388 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 82.388 * [simplify]: Simplifying (* -1 U) 82.389 * * [simplify]: iters left: 2 (3 enodes) 82.390 * * [simplify]: iters left: 1 (11 enodes) 82.392 * * [simplify]: Extracting #0: cost 1 inf + 0 82.392 * * [simplify]: Extracting #1: cost 4 inf + 0 82.392 * * [simplify]: Extracting #2: cost 0 inf + 84 82.392 * [simplify]: Simplified to (- U) 82.392 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 82.392 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 82.392 * [simplify]: Simplifying (* -1 U) 82.392 * * [simplify]: iters left: 2 (3 enodes) 82.393 * * [simplify]: iters left: 1 (11 enodes) 82.395 * * [simplify]: Extracting #0: cost 1 inf + 0 82.395 * * [simplify]: Extracting #1: cost 4 inf + 0 82.395 * * [simplify]: Extracting #2: cost 0 inf + 84 82.395 * [simplify]: Simplified to (- U) 82.395 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 82.395 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 82.395 * [simplify]: Simplifying 1 82.395 * * [simplify]: iters left: 0 (1 enodes) 82.396 * * [simplify]: Extracting #0: cost 1 inf + 0 82.396 * * [simplify]: Extracting #1: cost 0 inf + 1 82.396 * [simplify]: Simplified to 1 82.396 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.396 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 82.396 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 82.396 * * [simplify]: iters left: 6 (9 enodes) 82.399 * * [simplify]: iters left: 5 (34 enodes) 82.404 * * [simplify]: iters left: 4 (56 enodes) 82.413 * * [simplify]: iters left: 3 (90 enodes) 82.441 * * [simplify]: iters left: 2 (114 enodes) 82.471 * * [simplify]: iters left: 1 (131 enodes) 82.507 * * [simplify]: Extracting #0: cost 1 inf + 0 82.507 * * [simplify]: Extracting #1: cost 22 inf + 0 82.507 * * [simplify]: Extracting #2: cost 37 inf + 3 82.507 * * [simplify]: Extracting #3: cost 31 inf + 380 82.508 * * [simplify]: Extracting #4: cost 17 inf + 1834 82.509 * * [simplify]: Extracting #5: cost 3 inf + 4117 82.510 * * [simplify]: Extracting #6: cost 0 inf + 4586 82.512 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 82.512 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.512 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 82.512 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 82.512 * * [simplify]: iters left: 6 (9 enodes) 82.514 * * [simplify]: iters left: 5 (34 enodes) 82.520 * * [simplify]: iters left: 4 (56 enodes) 82.528 * * [simplify]: iters left: 3 (90 enodes) 82.544 * * [simplify]: iters left: 2 (114 enodes) 82.575 * * [simplify]: iters left: 1 (131 enodes) 82.611 * * [simplify]: Extracting #0: cost 1 inf + 0 82.611 * * [simplify]: Extracting #1: cost 22 inf + 0 82.612 * * [simplify]: Extracting #2: cost 37 inf + 3 82.612 * * [simplify]: Extracting #3: cost 31 inf + 380 82.613 * * [simplify]: Extracting #4: cost 17 inf + 1834 82.615 * * [simplify]: Extracting #5: cost 3 inf + 4117 82.617 * * [simplify]: Extracting #6: cost 0 inf + 4586 82.619 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 82.619 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.619 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 82.619 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 82.620 * * [simplify]: iters left: 6 (12 enodes) 82.628 * * [simplify]: iters left: 5 (52 enodes) 82.645 * * [simplify]: iters left: 4 (73 enodes) 82.663 * * [simplify]: iters left: 3 (117 enodes) 82.683 * * [simplify]: iters left: 2 (156 enodes) 82.707 * * [simplify]: iters left: 1 (207 enodes) 82.742 * * [simplify]: Extracting #0: cost 1 inf + 0 82.742 * * [simplify]: Extracting #1: cost 18 inf + 0 82.742 * * [simplify]: Extracting #2: cost 39 inf + 2 82.742 * * [simplify]: Extracting #3: cost 43 inf + 213 82.743 * * [simplify]: Extracting #4: cost 14 inf + 3555 82.745 * * [simplify]: Extracting #5: cost 0 inf + 5789 82.746 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 82.746 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)))) J)))) 82.747 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 82.747 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 82.747 * * [simplify]: iters left: 4 (6 enodes) 82.749 * * [simplify]: iters left: 3 (25 enodes) 82.754 * * [simplify]: iters left: 2 (39 enodes) 82.763 * * [simplify]: iters left: 1 (69 enodes) 82.784 * * [simplify]: Extracting #0: cost 1 inf + 0 82.784 * * [simplify]: Extracting #1: cost 9 inf + 0 82.784 * * [simplify]: Extracting #2: cost 23 inf + 1 82.784 * * [simplify]: Extracting #3: cost 23 inf + 5 82.785 * * [simplify]: Extracting #4: cost 20 inf + 8 82.785 * * [simplify]: Extracting #5: cost 9 inf + 2778 82.786 * * [simplify]: Extracting #6: cost 0 inf + 6930 82.787 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 82.788 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (* 1/2 K))))) J)))) 82.788 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 82.788 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 82.788 * * [simplify]: iters left: 4 (6 enodes) 82.792 * * [simplify]: iters left: 3 (25 enodes) 82.803 * * [simplify]: iters left: 2 (39 enodes) 82.819 * * [simplify]: iters left: 1 (69 enodes) 82.841 * * [simplify]: Extracting #0: cost 1 inf + 0 82.841 * * [simplify]: Extracting #1: cost 9 inf + 0 82.841 * * [simplify]: Extracting #2: cost 23 inf + 1 82.841 * * [simplify]: Extracting #3: cost 23 inf + 5 82.841 * * [simplify]: Extracting #4: cost 20 inf + 8 82.841 * * [simplify]: Extracting #5: cost 9 inf + 2778 82.842 * * [simplify]: Extracting #6: cost 0 inf + 6930 82.843 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 82.843 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (log (exp (cbrt (cos (* 1/2 K))))) J)))) 82.843 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 82.843 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 82.843 * * [simplify]: iters left: 6 (12 enodes) 82.848 * * [simplify]: iters left: 5 (52 enodes) 82.859 * * [simplify]: iters left: 4 (73 enodes) 82.871 * * [simplify]: iters left: 3 (117 enodes) 82.897 * * [simplify]: iters left: 2 (156 enodes) 82.943 * * [simplify]: iters left: 1 (207 enodes) 82.992 * * [simplify]: Extracting #0: cost 1 inf + 0 82.992 * * [simplify]: Extracting #1: cost 18 inf + 0 82.992 * * [simplify]: Extracting #2: cost 39 inf + 2 82.993 * * [simplify]: Extracting #3: cost 43 inf + 213 82.993 * * [simplify]: Extracting #4: cost 14 inf + 3555 82.995 * * [simplify]: Extracting #5: cost 0 inf + 5789 82.996 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 82.996 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 82.997 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 82.997 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 82.997 * * [simplify]: iters left: 4 (6 enodes) 82.999 * * [simplify]: iters left: 3 (25 enodes) 83.007 * * [simplify]: iters left: 2 (39 enodes) 83.020 * * [simplify]: iters left: 1 (69 enodes) 83.033 * * [simplify]: Extracting #0: cost 1 inf + 0 83.033 * * [simplify]: Extracting #1: cost 9 inf + 0 83.033 * * [simplify]: Extracting #2: cost 23 inf + 1 83.034 * * [simplify]: Extracting #3: cost 23 inf + 5 83.034 * * [simplify]: Extracting #4: cost 20 inf + 8 83.034 * * [simplify]: Extracting #5: cost 9 inf + 2778 83.035 * * [simplify]: Extracting #6: cost 0 inf + 6930 83.035 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 83.035 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 83.035 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 83.035 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 83.036 * * [simplify]: iters left: 4 (6 enodes) 83.038 * * [simplify]: iters left: 3 (25 enodes) 83.043 * * [simplify]: iters left: 2 (39 enodes) 83.051 * * [simplify]: iters left: 1 (69 enodes) 83.067 * * [simplify]: Extracting #0: cost 1 inf + 0 83.067 * * [simplify]: Extracting #1: cost 9 inf + 0 83.068 * * [simplify]: Extracting #2: cost 23 inf + 1 83.068 * * [simplify]: Extracting #3: cost 23 inf + 5 83.068 * * [simplify]: Extracting #4: cost 20 inf + 8 83.068 * * [simplify]: Extracting #5: cost 9 inf + 2778 83.070 * * [simplify]: Extracting #6: cost 0 inf + 6930 83.071 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 83.071 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (log (exp (cbrt (cos (/ K 2))))) J)))) 83.071 * * * [progress]: adding candidates to table 84.578 * * [progress]: iteration 4 / 4 84.578 * * * [progress]: picking best candidate 84.662 * * * * [pick]: Picked # 84.662 * * * [progress]: localizing error 84.718 * * * [progress]: generating rewritten candidates 84.718 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 84.856 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 84.861 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 84.863 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 84.867 * * * [progress]: generating series expansions 84.867 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 84.868 * [backup-simplify]: Simplify (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 84.868 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 84.868 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 84.868 * [taylor]: Taking taylor expansion of -2 in U 84.868 * [backup-simplify]: Simplify -2 into -2 84.868 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 84.868 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 84.868 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 84.868 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 84.868 * [taylor]: Taking taylor expansion of 1/2 in U 84.868 * [backup-simplify]: Simplify 1/2 into 1/2 84.868 * [taylor]: Taking taylor expansion of K in U 84.868 * [backup-simplify]: Simplify K into K 84.868 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.869 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.869 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.869 * [taylor]: Taking taylor expansion of J in U 84.869 * [backup-simplify]: Simplify J into J 84.869 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 84.869 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 84.869 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 84.869 * [taylor]: Taking taylor expansion of 1/4 in U 84.869 * [backup-simplify]: Simplify 1/4 into 1/4 84.869 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 84.869 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.869 * [taylor]: Taking taylor expansion of U in U 84.869 * [backup-simplify]: Simplify 0 into 0 84.869 * [backup-simplify]: Simplify 1 into 1 84.869 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 84.869 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 84.869 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 84.869 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 84.869 * [taylor]: Taking taylor expansion of 1/2 in U 84.869 * [backup-simplify]: Simplify 1/2 into 1/2 84.869 * [taylor]: Taking taylor expansion of K in U 84.869 * [backup-simplify]: Simplify K into K 84.869 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.869 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.869 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.869 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.870 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.870 * [backup-simplify]: Simplify (- 0) into 0 84.870 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.870 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.870 * [taylor]: Taking taylor expansion of J in U 84.870 * [backup-simplify]: Simplify J into J 84.871 * [backup-simplify]: Simplify (* 1 1) into 1 84.871 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 84.871 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.871 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 84.871 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 84.871 * [taylor]: Taking taylor expansion of 1 in U 84.872 * [backup-simplify]: Simplify 1 into 1 84.872 * [backup-simplify]: Simplify (+ 0 1) into 1 84.872 * [backup-simplify]: Simplify (sqrt 1) into 1 84.873 * [backup-simplify]: Simplify (+ 0 0) into 0 84.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 84.873 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 84.874 * [taylor]: Taking taylor expansion of -2 in K 84.874 * [backup-simplify]: Simplify -2 into -2 84.874 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 84.874 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 84.874 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 84.874 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 84.874 * [taylor]: Taking taylor expansion of 1/2 in K 84.874 * [backup-simplify]: Simplify 1/2 into 1/2 84.874 * [taylor]: Taking taylor expansion of K in K 84.874 * [backup-simplify]: Simplify 0 into 0 84.874 * [backup-simplify]: Simplify 1 into 1 84.874 * [backup-simplify]: Simplify (* 1/2 0) into 0 84.875 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 84.875 * [taylor]: Taking taylor expansion of J in K 84.875 * [backup-simplify]: Simplify J into J 84.875 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 84.875 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 84.875 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 84.875 * [taylor]: Taking taylor expansion of 1/4 in K 84.875 * [backup-simplify]: Simplify 1/4 into 1/4 84.875 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 84.875 * [taylor]: Taking taylor expansion of (pow U 2) in K 84.875 * [taylor]: Taking taylor expansion of U in K 84.875 * [backup-simplify]: Simplify U into U 84.875 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 84.875 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 84.875 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 84.875 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 84.875 * [taylor]: Taking taylor expansion of 1/2 in K 84.875 * [backup-simplify]: Simplify 1/2 into 1/2 84.875 * [taylor]: Taking taylor expansion of K in K 84.875 * [backup-simplify]: Simplify 0 into 0 84.875 * [backup-simplify]: Simplify 1 into 1 84.876 * [backup-simplify]: Simplify (* 1/2 0) into 0 84.877 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 84.877 * [taylor]: Taking taylor expansion of (pow J 2) in K 84.877 * [taylor]: Taking taylor expansion of J in K 84.877 * [backup-simplify]: Simplify J into J 84.877 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.877 * [backup-simplify]: Simplify (* 1 1) into 1 84.877 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.877 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 84.877 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 84.877 * [taylor]: Taking taylor expansion of 1 in K 84.877 * [backup-simplify]: Simplify 1 into 1 84.878 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 84.878 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 84.878 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 84.878 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.878 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.879 * [backup-simplify]: Simplify (+ 0) into 0 84.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 84.880 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 84.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 84.881 * [backup-simplify]: Simplify (+ 0 0) into 0 84.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 84.881 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 84.881 * [taylor]: Taking taylor expansion of -2 in J 84.881 * [backup-simplify]: Simplify -2 into -2 84.881 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 84.881 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 84.881 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 84.881 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 84.881 * [taylor]: Taking taylor expansion of 1/2 in J 84.881 * [backup-simplify]: Simplify 1/2 into 1/2 84.881 * [taylor]: Taking taylor expansion of K in J 84.882 * [backup-simplify]: Simplify K into K 84.882 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.882 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.882 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.882 * [taylor]: Taking taylor expansion of J in J 84.882 * [backup-simplify]: Simplify 0 into 0 84.882 * [backup-simplify]: Simplify 1 into 1 84.882 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 84.882 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 84.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 84.882 * [taylor]: Taking taylor expansion of 1/4 in J 84.882 * [backup-simplify]: Simplify 1/4 into 1/4 84.882 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 84.882 * [taylor]: Taking taylor expansion of (pow U 2) in J 84.882 * [taylor]: Taking taylor expansion of U in J 84.882 * [backup-simplify]: Simplify U into U 84.882 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 84.882 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 84.882 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 84.882 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 84.882 * [taylor]: Taking taylor expansion of 1/2 in J 84.882 * [backup-simplify]: Simplify 1/2 into 1/2 84.882 * [taylor]: Taking taylor expansion of K in J 84.882 * [backup-simplify]: Simplify K into K 84.882 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.882 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.882 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.882 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.883 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.883 * [backup-simplify]: Simplify (- 0) into 0 84.883 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.883 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.883 * [taylor]: Taking taylor expansion of J in J 84.883 * [backup-simplify]: Simplify 0 into 0 84.883 * [backup-simplify]: Simplify 1 into 1 84.883 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.883 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 84.884 * [backup-simplify]: Simplify (* 1 1) into 1 84.884 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 84.884 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 84.884 * [taylor]: Taking taylor expansion of 1 in J 84.884 * [backup-simplify]: Simplify 1 into 1 84.884 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 84.885 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 84.885 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 84.885 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.886 * [backup-simplify]: Simplify (+ 0) into 0 84.887 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 84.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 84.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.888 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 84.889 * [backup-simplify]: Simplify (- 0) into 0 84.889 * [backup-simplify]: Simplify (+ 0 0) into 0 84.889 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 84.890 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 84.890 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 84.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 84.891 * [backup-simplify]: Simplify (+ 0 0) into 0 84.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 84.891 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 84.892 * [taylor]: Taking taylor expansion of -2 in J 84.892 * [backup-simplify]: Simplify -2 into -2 84.892 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 84.892 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 84.892 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 84.892 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 84.892 * [taylor]: Taking taylor expansion of 1/2 in J 84.892 * [backup-simplify]: Simplify 1/2 into 1/2 84.892 * [taylor]: Taking taylor expansion of K in J 84.892 * [backup-simplify]: Simplify K into K 84.892 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.892 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.892 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.892 * [taylor]: Taking taylor expansion of J in J 84.892 * [backup-simplify]: Simplify 0 into 0 84.892 * [backup-simplify]: Simplify 1 into 1 84.892 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 84.892 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 84.892 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 84.892 * [taylor]: Taking taylor expansion of 1/4 in J 84.892 * [backup-simplify]: Simplify 1/4 into 1/4 84.892 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 84.892 * [taylor]: Taking taylor expansion of (pow U 2) in J 84.892 * [taylor]: Taking taylor expansion of U in J 84.892 * [backup-simplify]: Simplify U into U 84.892 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 84.892 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 84.892 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 84.892 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 84.892 * [taylor]: Taking taylor expansion of 1/2 in J 84.892 * [backup-simplify]: Simplify 1/2 into 1/2 84.892 * [taylor]: Taking taylor expansion of K in J 84.892 * [backup-simplify]: Simplify K into K 84.892 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.893 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.893 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.893 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.893 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.893 * [backup-simplify]: Simplify (- 0) into 0 84.893 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.893 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.893 * [taylor]: Taking taylor expansion of J in J 84.893 * [backup-simplify]: Simplify 0 into 0 84.893 * [backup-simplify]: Simplify 1 into 1 84.893 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.894 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 84.894 * [backup-simplify]: Simplify (* 1 1) into 1 84.894 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 84.894 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 84.894 * [taylor]: Taking taylor expansion of 1 in J 84.894 * [backup-simplify]: Simplify 1 into 1 84.894 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 84.895 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 84.895 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 84.895 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.896 * [backup-simplify]: Simplify (+ 0) into 0 84.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 84.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 84.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.898 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 84.899 * [backup-simplify]: Simplify (- 0) into 0 84.899 * [backup-simplify]: Simplify (+ 0 0) into 0 84.899 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 84.900 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 84.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 84.901 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 84.901 * [backup-simplify]: Simplify (+ 0 0) into 0 84.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 84.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.902 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.902 * [backup-simplify]: Simplify (- 0) into 0 84.902 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.902 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 84.902 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 84.903 * [backup-simplify]: Simplify (* -2 0) into 0 84.903 * [taylor]: Taking taylor expansion of 0 in K 84.903 * [backup-simplify]: Simplify 0 into 0 84.903 * [taylor]: Taking taylor expansion of 0 in U 84.903 * [backup-simplify]: Simplify 0 into 0 84.903 * [backup-simplify]: Simplify 0 into 0 84.903 * [backup-simplify]: Simplify (+ 0) into 0 84.904 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 84.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 84.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.905 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 84.906 * [backup-simplify]: Simplify (- 0) into 0 84.906 * [backup-simplify]: Simplify (+ 0 0) into 0 84.906 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 84.907 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 84.907 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 84.907 * [taylor]: Taking taylor expansion of (- U) in K 84.907 * [taylor]: Taking taylor expansion of U in K 84.908 * [backup-simplify]: Simplify U into U 84.908 * [backup-simplify]: Simplify (- U) into (- U) 84.908 * [taylor]: Taking taylor expansion of (- U) in U 84.908 * [taylor]: Taking taylor expansion of U in U 84.908 * [backup-simplify]: Simplify 0 into 0 84.908 * [backup-simplify]: Simplify 1 into 1 84.908 * [backup-simplify]: Simplify (- 0) into 0 84.908 * [backup-simplify]: Simplify 0 into 0 84.908 * [taylor]: Taking taylor expansion of 0 in U 84.908 * [backup-simplify]: Simplify 0 into 0 84.908 * [backup-simplify]: Simplify 0 into 0 84.908 * [backup-simplify]: Simplify 0 into 0 84.909 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 84.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 84.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 84.913 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.913 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.914 * [backup-simplify]: Simplify (- 0) into 0 84.914 * [backup-simplify]: Simplify (+ 0 0) into 0 84.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 84.915 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 84.916 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 84.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 84.917 * [backup-simplify]: Simplify (+ 0 1) into 1 84.918 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 84.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.920 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 84.921 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.922 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.922 * [backup-simplify]: Simplify (- 0) into 0 84.923 * [backup-simplify]: Simplify (+ 0 0) into 0 84.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 84.924 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 84.924 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 84.924 * [taylor]: Taking taylor expansion of 0 in K 84.924 * [backup-simplify]: Simplify 0 into 0 84.924 * [taylor]: Taking taylor expansion of 0 in U 84.924 * [backup-simplify]: Simplify 0 into 0 84.924 * [backup-simplify]: Simplify 0 into 0 84.925 * [backup-simplify]: Simplify (- 0) into 0 84.925 * [taylor]: Taking taylor expansion of 0 in U 84.925 * [backup-simplify]: Simplify 0 into 0 84.925 * [backup-simplify]: Simplify 0 into 0 84.925 * [backup-simplify]: Simplify 0 into 0 84.926 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 J)) (cbrt (cos (/ (/ 1 K) 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) (cbrt (cos (/ (/ 1 K) 2)))) (cbrt (cos (/ (/ 1 K) 2))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 84.926 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 84.926 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 84.926 * [taylor]: Taking taylor expansion of -2 in U 84.926 * [backup-simplify]: Simplify -2 into -2 84.926 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 84.926 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 84.926 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 84.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 84.926 * [taylor]: Taking taylor expansion of 1/4 in U 84.926 * [backup-simplify]: Simplify 1/4 into 1/4 84.926 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 84.926 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.926 * [taylor]: Taking taylor expansion of J in U 84.927 * [backup-simplify]: Simplify J into J 84.927 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 84.927 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.927 * [taylor]: Taking taylor expansion of U in U 84.927 * [backup-simplify]: Simplify 0 into 0 84.927 * [backup-simplify]: Simplify 1 into 1 84.927 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 84.927 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.927 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.927 * [taylor]: Taking taylor expansion of 1/2 in U 84.927 * [backup-simplify]: Simplify 1/2 into 1/2 84.927 * [taylor]: Taking taylor expansion of K in U 84.927 * [backup-simplify]: Simplify K into K 84.927 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.927 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.927 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.927 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.927 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.928 * [backup-simplify]: Simplify (- 0) into 0 84.928 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.928 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.928 * [backup-simplify]: Simplify (* 1 1) into 1 84.928 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.928 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 84.928 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 84.929 * [taylor]: Taking taylor expansion of 1 in U 84.929 * [backup-simplify]: Simplify 1 into 1 84.929 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 84.929 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 84.929 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 84.929 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.930 * [backup-simplify]: Simplify (+ 0) into 0 84.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.932 * [backup-simplify]: Simplify (- 0) into 0 84.932 * [backup-simplify]: Simplify (+ 0 0) into 0 84.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 84.934 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 84.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 84.935 * [backup-simplify]: Simplify (+ 0 0) into 0 84.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 84.935 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 84.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.935 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.935 * [taylor]: Taking taylor expansion of 1/2 in U 84.935 * [backup-simplify]: Simplify 1/2 into 1/2 84.935 * [taylor]: Taking taylor expansion of K in U 84.935 * [backup-simplify]: Simplify K into K 84.936 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.936 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.936 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.936 * [taylor]: Taking taylor expansion of J in U 84.936 * [backup-simplify]: Simplify J into J 84.936 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.936 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.936 * [backup-simplify]: Simplify (- 0) into 0 84.936 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.936 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 84.936 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 84.937 * [taylor]: Taking taylor expansion of -2 in K 84.937 * [backup-simplify]: Simplify -2 into -2 84.937 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 84.937 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 84.937 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 84.937 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 84.937 * [taylor]: Taking taylor expansion of 1/4 in K 84.937 * [backup-simplify]: Simplify 1/4 into 1/4 84.937 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 84.937 * [taylor]: Taking taylor expansion of (pow J 2) in K 84.937 * [taylor]: Taking taylor expansion of J in K 84.937 * [backup-simplify]: Simplify J into J 84.937 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 84.937 * [taylor]: Taking taylor expansion of (pow U 2) in K 84.937 * [taylor]: Taking taylor expansion of U in K 84.937 * [backup-simplify]: Simplify U into U 84.937 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 84.937 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 84.937 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 84.937 * [taylor]: Taking taylor expansion of 1/2 in K 84.937 * [backup-simplify]: Simplify 1/2 into 1/2 84.937 * [taylor]: Taking taylor expansion of K in K 84.937 * [backup-simplify]: Simplify 0 into 0 84.937 * [backup-simplify]: Simplify 1 into 1 84.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 84.938 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.938 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.938 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.938 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.938 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 84.938 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 84.938 * [taylor]: Taking taylor expansion of 1 in K 84.938 * [backup-simplify]: Simplify 1 into 1 84.939 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 84.939 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 84.939 * [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)) 84.939 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.940 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.940 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.940 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 84.940 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 84.941 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 84.942 * [backup-simplify]: Simplify (+ 0 0) into 0 84.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 84.942 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 84.942 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 84.942 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 84.942 * [taylor]: Taking taylor expansion of 1/2 in K 84.942 * [backup-simplify]: Simplify 1/2 into 1/2 84.942 * [taylor]: Taking taylor expansion of K in K 84.942 * [backup-simplify]: Simplify 0 into 0 84.942 * [backup-simplify]: Simplify 1 into 1 84.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 84.943 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.943 * [taylor]: Taking taylor expansion of J in K 84.943 * [backup-simplify]: Simplify J into J 84.943 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 84.943 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 84.943 * [taylor]: Taking taylor expansion of -2 in J 84.943 * [backup-simplify]: Simplify -2 into -2 84.943 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 84.943 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 84.943 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 84.943 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 84.943 * [taylor]: Taking taylor expansion of 1/4 in J 84.943 * [backup-simplify]: Simplify 1/4 into 1/4 84.943 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 84.943 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.943 * [taylor]: Taking taylor expansion of J in J 84.943 * [backup-simplify]: Simplify 0 into 0 84.943 * [backup-simplify]: Simplify 1 into 1 84.943 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 84.943 * [taylor]: Taking taylor expansion of (pow U 2) in J 84.943 * [taylor]: Taking taylor expansion of U in J 84.943 * [backup-simplify]: Simplify U into U 84.943 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 84.943 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 84.943 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 84.943 * [taylor]: Taking taylor expansion of 1/2 in J 84.943 * [backup-simplify]: Simplify 1/2 into 1/2 84.943 * [taylor]: Taking taylor expansion of K in J 84.943 * [backup-simplify]: Simplify K into K 84.944 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.944 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.944 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.944 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.944 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.944 * [backup-simplify]: Simplify (- 0) into 0 84.944 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.945 * [backup-simplify]: Simplify (* 1 1) into 1 84.945 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.945 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.945 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 84.945 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 84.945 * [taylor]: Taking taylor expansion of 1 in J 84.945 * [backup-simplify]: Simplify 1 into 1 84.946 * [backup-simplify]: Simplify (+ 0 1) into 1 84.947 * [backup-simplify]: Simplify (sqrt 1) into 1 84.947 * [backup-simplify]: Simplify (+ 0 0) into 0 84.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 84.948 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 84.948 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 84.948 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 84.948 * [taylor]: Taking taylor expansion of 1/2 in J 84.948 * [backup-simplify]: Simplify 1/2 into 1/2 84.948 * [taylor]: Taking taylor expansion of K in J 84.948 * [backup-simplify]: Simplify K into K 84.948 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.948 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.948 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.948 * [taylor]: Taking taylor expansion of J in J 84.948 * [backup-simplify]: Simplify 0 into 0 84.948 * [backup-simplify]: Simplify 1 into 1 84.948 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.948 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.949 * [backup-simplify]: Simplify (- 0) into 0 84.949 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.949 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.949 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 84.949 * [taylor]: Taking taylor expansion of -2 in J 84.949 * [backup-simplify]: Simplify -2 into -2 84.949 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 84.949 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 84.949 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 84.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 84.949 * [taylor]: Taking taylor expansion of 1/4 in J 84.949 * [backup-simplify]: Simplify 1/4 into 1/4 84.949 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 84.949 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.949 * [taylor]: Taking taylor expansion of J in J 84.949 * [backup-simplify]: Simplify 0 into 0 84.949 * [backup-simplify]: Simplify 1 into 1 84.949 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 84.950 * [taylor]: Taking taylor expansion of (pow U 2) in J 84.950 * [taylor]: Taking taylor expansion of U in J 84.950 * [backup-simplify]: Simplify U into U 84.950 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 84.950 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 84.950 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 84.950 * [taylor]: Taking taylor expansion of 1/2 in J 84.950 * [backup-simplify]: Simplify 1/2 into 1/2 84.950 * [taylor]: Taking taylor expansion of K in J 84.950 * [backup-simplify]: Simplify K into K 84.950 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.950 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.950 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.950 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.950 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.950 * [backup-simplify]: Simplify (- 0) into 0 84.951 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.951 * [backup-simplify]: Simplify (* 1 1) into 1 84.951 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.951 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.951 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 84.951 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 84.952 * [taylor]: Taking taylor expansion of 1 in J 84.952 * [backup-simplify]: Simplify 1 into 1 84.952 * [backup-simplify]: Simplify (+ 0 1) into 1 84.952 * [backup-simplify]: Simplify (sqrt 1) into 1 84.953 * [backup-simplify]: Simplify (+ 0 0) into 0 84.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 84.953 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 84.953 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 84.954 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 84.954 * [taylor]: Taking taylor expansion of 1/2 in J 84.954 * [backup-simplify]: Simplify 1/2 into 1/2 84.954 * [taylor]: Taking taylor expansion of K in J 84.954 * [backup-simplify]: Simplify K into K 84.954 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.954 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.954 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.954 * [taylor]: Taking taylor expansion of J in J 84.954 * [backup-simplify]: Simplify 0 into 0 84.954 * [backup-simplify]: Simplify 1 into 1 84.954 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.954 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.954 * [backup-simplify]: Simplify (- 0) into 0 84.955 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.955 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.955 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 84.955 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 84.955 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 84.955 * [taylor]: Taking taylor expansion of -2 in K 84.955 * [backup-simplify]: Simplify -2 into -2 84.955 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 84.955 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 84.955 * [taylor]: Taking taylor expansion of 1/2 in K 84.955 * [backup-simplify]: Simplify 1/2 into 1/2 84.955 * [taylor]: Taking taylor expansion of K in K 84.955 * [backup-simplify]: Simplify 0 into 0 84.955 * [backup-simplify]: Simplify 1 into 1 84.956 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 84.956 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.956 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 84.956 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 84.956 * [taylor]: Taking taylor expansion of -2 in U 84.956 * [backup-simplify]: Simplify -2 into -2 84.956 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.956 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.956 * [taylor]: Taking taylor expansion of 1/2 in U 84.956 * [backup-simplify]: Simplify 1/2 into 1/2 84.956 * [taylor]: Taking taylor expansion of K in U 84.956 * [backup-simplify]: Simplify K into K 84.956 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.956 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.956 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.957 * [backup-simplify]: Simplify (+ 0) into 0 84.957 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.959 * [backup-simplify]: Simplify (- 0) into 0 84.959 * [backup-simplify]: Simplify (+ 0 0) into 0 84.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 84.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 84.961 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 84.961 * [taylor]: Taking taylor expansion of 0 in K 84.961 * [backup-simplify]: Simplify 0 into 0 84.961 * [taylor]: Taking taylor expansion of 0 in U 84.961 * [backup-simplify]: Simplify 0 into 0 84.962 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 84.962 * [taylor]: Taking taylor expansion of 0 in U 84.962 * [backup-simplify]: Simplify 0 into 0 84.962 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.962 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.962 * [backup-simplify]: Simplify (- 0) into 0 84.962 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.963 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 84.963 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 84.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.964 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.964 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.966 * [backup-simplify]: Simplify (- 0) into 0 84.967 * [backup-simplify]: Simplify (+ 0 0) into 0 84.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 84.968 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 84.968 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 84.970 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 84.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 84.972 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 84.972 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 84.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 84.972 * [taylor]: Taking taylor expansion of 1/4 in K 84.972 * [backup-simplify]: Simplify 1/4 into 1/4 84.972 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 84.972 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 84.972 * [taylor]: Taking taylor expansion of (pow U 2) in K 84.972 * [taylor]: Taking taylor expansion of U in K 84.972 * [backup-simplify]: Simplify U into U 84.972 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 84.972 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 84.972 * [taylor]: Taking taylor expansion of 1/2 in K 84.972 * [backup-simplify]: Simplify 1/2 into 1/2 84.972 * [taylor]: Taking taylor expansion of K in K 84.972 * [backup-simplify]: Simplify 0 into 0 84.972 * [backup-simplify]: Simplify 1 into 1 84.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 84.973 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.973 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.973 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 84.973 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 84.973 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 84.973 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 84.973 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 84.973 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 84.973 * [taylor]: Taking taylor expansion of 1/4 in U 84.973 * [backup-simplify]: Simplify 1/4 into 1/4 84.973 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 84.973 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 84.973 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.973 * [taylor]: Taking taylor expansion of U in U 84.973 * [backup-simplify]: Simplify 0 into 0 84.973 * [backup-simplify]: Simplify 1 into 1 84.973 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.973 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.973 * [taylor]: Taking taylor expansion of 1/2 in U 84.973 * [backup-simplify]: Simplify 1/2 into 1/2 84.973 * [taylor]: Taking taylor expansion of K in U 84.973 * [backup-simplify]: Simplify K into K 84.973 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.974 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.974 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.974 * [backup-simplify]: Simplify (* 1 1) into 1 84.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.974 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.974 * [backup-simplify]: Simplify (- 0) into 0 84.974 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.974 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 84.974 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 84.975 * [backup-simplify]: Simplify (+ 0) into 0 84.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.976 * [backup-simplify]: Simplify (- 0) into 0 84.976 * [backup-simplify]: Simplify (+ 0 0) into 0 84.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 84.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 84.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 84.978 * [backup-simplify]: Simplify (- 0) into 0 84.978 * [backup-simplify]: Simplify 0 into 0 84.978 * [taylor]: Taking taylor expansion of 0 in U 84.978 * [backup-simplify]: Simplify 0 into 0 84.978 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 84.978 * [taylor]: Taking taylor expansion of 0 in U 84.978 * [backup-simplify]: Simplify 0 into 0 84.978 * [backup-simplify]: Simplify 0 into 0 84.978 * [backup-simplify]: Simplify 0 into 0 84.979 * [backup-simplify]: Simplify (+ 0) into 0 84.979 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.979 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.980 * [backup-simplify]: Simplify (- 0) into 0 84.980 * [backup-simplify]: Simplify (+ 0 0) into 0 84.980 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 84.981 * [backup-simplify]: Simplify 0 into 0 84.981 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 84.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 84.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 84.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 84.983 * [backup-simplify]: Simplify (- 0) into 0 84.983 * [backup-simplify]: Simplify (+ 0 0) into 0 84.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 84.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.985 * [backup-simplify]: Simplify (+ 0) into 0 84.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.987 * [backup-simplify]: Simplify (- 0) into 0 84.987 * [backup-simplify]: Simplify (+ 0 0) into 0 84.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.987 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.987 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 84.988 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 84.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 84.988 * [backup-simplify]: Simplify (+ 0 0) into 0 84.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 84.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 84.990 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 84.990 * [taylor]: Taking taylor expansion of 0 in K 84.990 * [backup-simplify]: Simplify 0 into 0 84.990 * [taylor]: Taking taylor expansion of 0 in U 84.990 * [backup-simplify]: Simplify 0 into 0 84.990 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.990 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 84.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 84.991 * [backup-simplify]: Simplify (- 0) into 0 84.991 * [taylor]: Taking taylor expansion of 0 in U 84.991 * [backup-simplify]: Simplify 0 into 0 84.991 * [taylor]: Taking taylor expansion of 0 in U 84.991 * [backup-simplify]: Simplify 0 into 0 84.992 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 84.992 * [taylor]: Taking taylor expansion of 0 in U 84.992 * [backup-simplify]: Simplify 0 into 0 84.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.998 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.998 * [backup-simplify]: Simplify (- 0) into 0 84.998 * [backup-simplify]: Simplify (+ 0 0) into 0 84.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 84.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 85.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 85.000 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 85.000 * [backup-simplify]: Simplify (- 0) into 0 85.000 * [backup-simplify]: Simplify 0 into 0 85.001 * [backup-simplify]: Simplify 0 into 0 85.001 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 85.002 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 (- J))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (cbrt (cos (/ (/ 1 (- K)) 2))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 85.002 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 85.002 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 85.002 * [taylor]: Taking taylor expansion of 2 in U 85.002 * [backup-simplify]: Simplify 2 into 2 85.002 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 85.002 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 85.002 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.002 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.002 * [taylor]: Taking taylor expansion of -1/2 in U 85.002 * [backup-simplify]: Simplify -1/2 into -1/2 85.002 * [taylor]: Taking taylor expansion of K in U 85.002 * [backup-simplify]: Simplify K into K 85.003 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.003 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.003 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.003 * [taylor]: Taking taylor expansion of J in U 85.003 * [backup-simplify]: Simplify J into J 85.003 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.003 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.003 * [backup-simplify]: Simplify (- 0) into 0 85.004 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.004 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 85.004 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 85.004 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 85.004 * [taylor]: Taking taylor expansion of 1 in U 85.004 * [backup-simplify]: Simplify 1 into 1 85.004 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 85.004 * [taylor]: Taking taylor expansion of 1/4 in U 85.004 * [backup-simplify]: Simplify 1/4 into 1/4 85.004 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 85.004 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.004 * [taylor]: Taking taylor expansion of J in U 85.004 * [backup-simplify]: Simplify J into J 85.004 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 85.004 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 85.004 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.004 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.004 * [taylor]: Taking taylor expansion of -1/2 in U 85.004 * [backup-simplify]: Simplify -1/2 into -1/2 85.004 * [taylor]: Taking taylor expansion of K in U 85.004 * [backup-simplify]: Simplify K into K 85.004 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.004 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.004 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.005 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.005 * [backup-simplify]: Simplify (- 0) into 0 85.005 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.005 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.005 * [taylor]: Taking taylor expansion of U in U 85.005 * [backup-simplify]: Simplify 0 into 0 85.005 * [backup-simplify]: Simplify 1 into 1 85.005 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.005 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.006 * [backup-simplify]: Simplify (* 1 1) into 1 85.006 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 85.006 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 85.006 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 85.007 * [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))) 85.007 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 85.007 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.008 * [backup-simplify]: Simplify (+ 0) into 0 85.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.010 * [backup-simplify]: Simplify (- 0) into 0 85.011 * [backup-simplify]: Simplify (+ 0 0) into 0 85.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.011 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 85.012 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 85.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 85.013 * [backup-simplify]: Simplify (+ 0 0) into 0 85.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 85.013 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 85.013 * [taylor]: Taking taylor expansion of 2 in K 85.013 * [backup-simplify]: Simplify 2 into 2 85.013 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 85.013 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 85.013 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.013 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.013 * [taylor]: Taking taylor expansion of -1/2 in K 85.014 * [backup-simplify]: Simplify -1/2 into -1/2 85.014 * [taylor]: Taking taylor expansion of K in K 85.014 * [backup-simplify]: Simplify 0 into 0 85.014 * [backup-simplify]: Simplify 1 into 1 85.014 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.014 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.014 * [taylor]: Taking taylor expansion of J in K 85.014 * [backup-simplify]: Simplify J into J 85.014 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 85.014 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 85.014 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 85.014 * [taylor]: Taking taylor expansion of 1 in K 85.015 * [backup-simplify]: Simplify 1 into 1 85.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 85.015 * [taylor]: Taking taylor expansion of 1/4 in K 85.015 * [backup-simplify]: Simplify 1/4 into 1/4 85.015 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 85.015 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.015 * [taylor]: Taking taylor expansion of J in K 85.015 * [backup-simplify]: Simplify J into J 85.015 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 85.015 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 85.015 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.015 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.015 * [taylor]: Taking taylor expansion of -1/2 in K 85.015 * [backup-simplify]: Simplify -1/2 into -1/2 85.015 * [taylor]: Taking taylor expansion of K in K 85.015 * [backup-simplify]: Simplify 0 into 0 85.015 * [backup-simplify]: Simplify 1 into 1 85.015 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.016 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.016 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.016 * [taylor]: Taking taylor expansion of U in K 85.016 * [backup-simplify]: Simplify U into U 85.016 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.016 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.016 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.016 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 85.016 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.017 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 85.017 * [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))))) 85.017 * [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)))))) 85.017 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.017 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.017 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 85.018 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 85.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 85.018 * [backup-simplify]: Simplify (+ 0 0) into 0 85.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 85.019 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 85.019 * [taylor]: Taking taylor expansion of 2 in J 85.019 * [backup-simplify]: Simplify 2 into 2 85.019 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 85.019 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 85.019 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.019 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.019 * [taylor]: Taking taylor expansion of -1/2 in J 85.019 * [backup-simplify]: Simplify -1/2 into -1/2 85.019 * [taylor]: Taking taylor expansion of K in J 85.019 * [backup-simplify]: Simplify K into K 85.019 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.019 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.019 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.019 * [taylor]: Taking taylor expansion of J in J 85.019 * [backup-simplify]: Simplify 0 into 0 85.019 * [backup-simplify]: Simplify 1 into 1 85.019 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.019 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.019 * [backup-simplify]: Simplify (- 0) into 0 85.020 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.020 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.020 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 85.020 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 85.020 * [taylor]: Taking taylor expansion of 1 in J 85.020 * [backup-simplify]: Simplify 1 into 1 85.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 85.020 * [taylor]: Taking taylor expansion of 1/4 in J 85.020 * [backup-simplify]: Simplify 1/4 into 1/4 85.020 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 85.020 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.020 * [taylor]: Taking taylor expansion of J in J 85.020 * [backup-simplify]: Simplify 0 into 0 85.020 * [backup-simplify]: Simplify 1 into 1 85.020 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 85.020 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 85.020 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.020 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.020 * [taylor]: Taking taylor expansion of -1/2 in J 85.020 * [backup-simplify]: Simplify -1/2 into -1/2 85.020 * [taylor]: Taking taylor expansion of K in J 85.020 * [backup-simplify]: Simplify K into K 85.020 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.020 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.020 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.020 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.020 * [backup-simplify]: Simplify (- 0) into 0 85.020 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.020 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.020 * [taylor]: Taking taylor expansion of U in J 85.021 * [backup-simplify]: Simplify U into U 85.021 * [backup-simplify]: Simplify (* 1 1) into 1 85.021 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.021 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.021 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 85.021 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.021 * [backup-simplify]: Simplify (+ 1 0) into 1 85.022 * [backup-simplify]: Simplify (sqrt 1) into 1 85.022 * [backup-simplify]: Simplify (+ 0 0) into 0 85.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.022 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 85.022 * [taylor]: Taking taylor expansion of 2 in J 85.022 * [backup-simplify]: Simplify 2 into 2 85.022 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 85.022 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 85.022 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.022 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.022 * [taylor]: Taking taylor expansion of -1/2 in J 85.022 * [backup-simplify]: Simplify -1/2 into -1/2 85.022 * [taylor]: Taking taylor expansion of K in J 85.022 * [backup-simplify]: Simplify K into K 85.022 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.023 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.023 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.023 * [taylor]: Taking taylor expansion of J in J 85.023 * [backup-simplify]: Simplify 0 into 0 85.023 * [backup-simplify]: Simplify 1 into 1 85.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.023 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.023 * [backup-simplify]: Simplify (- 0) into 0 85.023 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.023 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.023 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 85.023 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 85.023 * [taylor]: Taking taylor expansion of 1 in J 85.023 * [backup-simplify]: Simplify 1 into 1 85.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 85.023 * [taylor]: Taking taylor expansion of 1/4 in J 85.023 * [backup-simplify]: Simplify 1/4 into 1/4 85.023 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 85.023 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.023 * [taylor]: Taking taylor expansion of J in J 85.023 * [backup-simplify]: Simplify 0 into 0 85.023 * [backup-simplify]: Simplify 1 into 1 85.023 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 85.023 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 85.023 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.023 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.023 * [taylor]: Taking taylor expansion of -1/2 in J 85.023 * [backup-simplify]: Simplify -1/2 into -1/2 85.023 * [taylor]: Taking taylor expansion of K in J 85.023 * [backup-simplify]: Simplify K into K 85.023 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.023 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.024 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.024 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.024 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.024 * [backup-simplify]: Simplify (- 0) into 0 85.024 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.024 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.024 * [taylor]: Taking taylor expansion of U in J 85.024 * [backup-simplify]: Simplify U into U 85.024 * [backup-simplify]: Simplify (* 1 1) into 1 85.024 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.024 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.024 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 85.025 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.025 * [backup-simplify]: Simplify (+ 1 0) into 1 85.025 * [backup-simplify]: Simplify (sqrt 1) into 1 85.025 * [backup-simplify]: Simplify (+ 0 0) into 0 85.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.026 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.026 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 85.026 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 85.026 * [taylor]: Taking taylor expansion of 2 in K 85.026 * [backup-simplify]: Simplify 2 into 2 85.026 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.026 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.026 * [taylor]: Taking taylor expansion of -1/2 in K 85.026 * [backup-simplify]: Simplify -1/2 into -1/2 85.026 * [taylor]: Taking taylor expansion of K in K 85.026 * [backup-simplify]: Simplify 0 into 0 85.026 * [backup-simplify]: Simplify 1 into 1 85.026 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.026 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.026 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 85.026 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 85.026 * [taylor]: Taking taylor expansion of 2 in U 85.026 * [backup-simplify]: Simplify 2 into 2 85.026 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.027 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.027 * [taylor]: Taking taylor expansion of -1/2 in U 85.027 * [backup-simplify]: Simplify -1/2 into -1/2 85.027 * [taylor]: Taking taylor expansion of K in U 85.027 * [backup-simplify]: Simplify K into K 85.027 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.027 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.027 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.027 * [backup-simplify]: Simplify (+ 0) into 0 85.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.027 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.028 * [backup-simplify]: Simplify (- 0) into 0 85.029 * [backup-simplify]: Simplify (+ 0 0) into 0 85.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 85.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.030 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 85.030 * [taylor]: Taking taylor expansion of 0 in K 85.030 * [backup-simplify]: Simplify 0 into 0 85.030 * [taylor]: Taking taylor expansion of 0 in U 85.030 * [backup-simplify]: Simplify 0 into 0 85.030 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 85.030 * [taylor]: Taking taylor expansion of 0 in U 85.030 * [backup-simplify]: Simplify 0 into 0 85.030 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.030 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.031 * [backup-simplify]: Simplify (- 0) into 0 85.031 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.031 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 85.031 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 85.031 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.031 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 85.032 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.033 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.034 * [backup-simplify]: Simplify (- 0) into 0 85.034 * [backup-simplify]: Simplify (+ 0 0) into 0 85.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 85.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 85.036 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 85.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 85.036 * [taylor]: Taking taylor expansion of 1/4 in K 85.036 * [backup-simplify]: Simplify 1/4 into 1/4 85.036 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 85.036 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 85.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.036 * [taylor]: Taking taylor expansion of -1/2 in K 85.036 * [backup-simplify]: Simplify -1/2 into -1/2 85.036 * [taylor]: Taking taylor expansion of K in K 85.036 * [backup-simplify]: Simplify 0 into 0 85.036 * [backup-simplify]: Simplify 1 into 1 85.037 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.037 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.037 * [taylor]: Taking taylor expansion of U in K 85.037 * [backup-simplify]: Simplify U into U 85.037 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 85.037 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 85.037 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 85.037 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 85.037 * [taylor]: Taking taylor expansion of 1/4 in U 85.037 * [backup-simplify]: Simplify 1/4 into 1/4 85.037 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 85.037 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.037 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.037 * [taylor]: Taking taylor expansion of -1/2 in U 85.037 * [backup-simplify]: Simplify -1/2 into -1/2 85.037 * [taylor]: Taking taylor expansion of K in U 85.037 * [backup-simplify]: Simplify K into K 85.037 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.037 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.037 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.037 * [taylor]: Taking taylor expansion of U in U 85.037 * [backup-simplify]: Simplify 0 into 0 85.037 * [backup-simplify]: Simplify 1 into 1 85.038 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.038 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.038 * [backup-simplify]: Simplify (- 0) into 0 85.038 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.038 * [backup-simplify]: Simplify (* 1 1) into 1 85.038 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.038 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 85.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.039 * [backup-simplify]: Simplify (+ 0) into 0 85.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.039 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.040 * [backup-simplify]: Simplify (- 0) into 0 85.041 * [backup-simplify]: Simplify (+ 0 0) into 0 85.041 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.041 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 85.041 * [backup-simplify]: Simplify 0 into 0 85.041 * [taylor]: Taking taylor expansion of 0 in U 85.041 * [backup-simplify]: Simplify 0 into 0 85.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 85.042 * [taylor]: Taking taylor expansion of 0 in U 85.042 * [backup-simplify]: Simplify 0 into 0 85.042 * [backup-simplify]: Simplify 0 into 0 85.042 * [backup-simplify]: Simplify 0 into 0 85.042 * [backup-simplify]: Simplify (+ 0) into 0 85.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.043 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.044 * [backup-simplify]: Simplify (- 0) into 0 85.044 * [backup-simplify]: Simplify (+ 0 0) into 0 85.044 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 85.044 * [backup-simplify]: Simplify 0 into 0 85.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.045 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.045 * [backup-simplify]: Simplify (+ 0) into 0 85.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.045 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.046 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.046 * [backup-simplify]: Simplify (- 0) into 0 85.046 * [backup-simplify]: Simplify (+ 0 0) into 0 85.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.047 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 85.047 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 85.047 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 85.048 * [backup-simplify]: Simplify (+ 0 0) into 0 85.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 85.049 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.049 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.049 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 85.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 85.052 * [backup-simplify]: Simplify (- 0) into 0 85.052 * [backup-simplify]: Simplify (+ 0 0) into 0 85.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 85.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 85.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 85.057 * [taylor]: Taking taylor expansion of 0 in K 85.057 * [backup-simplify]: Simplify 0 into 0 85.057 * [taylor]: Taking taylor expansion of 0 in U 85.057 * [backup-simplify]: Simplify 0 into 0 85.057 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 85.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 85.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 85.058 * [taylor]: Taking taylor expansion of 0 in U 85.058 * [backup-simplify]: Simplify 0 into 0 85.058 * [taylor]: Taking taylor expansion of 0 in U 85.058 * [backup-simplify]: Simplify 0 into 0 85.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 85.059 * [taylor]: Taking taylor expansion of 0 in U 85.059 * [backup-simplify]: Simplify 0 into 0 85.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.062 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.063 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.064 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.064 * [backup-simplify]: Simplify (- 0) into 0 85.065 * [backup-simplify]: Simplify (+ 0 0) into 0 85.065 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.066 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 85.066 * [backup-simplify]: Simplify 0 into 0 85.066 * [backup-simplify]: Simplify 0 into 0 85.066 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 85.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 85.067 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 85.067 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 85.067 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 85.067 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 85.067 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 85.067 * [taylor]: Taking taylor expansion of 1/4 in K 85.067 * [backup-simplify]: Simplify 1/4 into 1/4 85.067 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 85.067 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.067 * [taylor]: Taking taylor expansion of U in K 85.067 * [backup-simplify]: Simplify U into U 85.067 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 85.067 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 85.067 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.067 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.067 * [taylor]: Taking taylor expansion of 1/2 in K 85.067 * [backup-simplify]: Simplify 1/2 into 1/2 85.067 * [taylor]: Taking taylor expansion of K in K 85.067 * [backup-simplify]: Simplify 0 into 0 85.067 * [backup-simplify]: Simplify 1 into 1 85.068 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.068 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.068 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.068 * [taylor]: Taking taylor expansion of J in K 85.068 * [backup-simplify]: Simplify J into J 85.068 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.069 * [backup-simplify]: Simplify (* 1 1) into 1 85.069 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.069 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 85.069 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 85.069 * [taylor]: Taking taylor expansion of 1 in K 85.069 * [backup-simplify]: Simplify 1 into 1 85.069 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 85.070 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 85.070 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 85.070 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.070 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.070 * [backup-simplify]: Simplify (+ 0) into 0 85.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 85.072 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 85.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 85.073 * [backup-simplify]: Simplify (+ 0 0) into 0 85.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 85.073 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 85.073 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 85.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 85.073 * [taylor]: Taking taylor expansion of 1/4 in J 85.073 * [backup-simplify]: Simplify 1/4 into 1/4 85.073 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 85.073 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.073 * [taylor]: Taking taylor expansion of U in J 85.073 * [backup-simplify]: Simplify U into U 85.073 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 85.073 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 85.073 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 85.073 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 85.073 * [taylor]: Taking taylor expansion of 1/2 in J 85.073 * [backup-simplify]: Simplify 1/2 into 1/2 85.074 * [taylor]: Taking taylor expansion of K in J 85.074 * [backup-simplify]: Simplify K into K 85.074 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 85.074 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 85.074 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 85.074 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 85.074 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 85.074 * [backup-simplify]: Simplify (- 0) into 0 85.074 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 85.074 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.074 * [taylor]: Taking taylor expansion of J in J 85.074 * [backup-simplify]: Simplify 0 into 0 85.075 * [backup-simplify]: Simplify 1 into 1 85.075 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.075 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 85.075 * [backup-simplify]: Simplify (* 1 1) into 1 85.075 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 85.075 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 85.075 * [taylor]: Taking taylor expansion of 1 in J 85.075 * [backup-simplify]: Simplify 1 into 1 85.076 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 85.076 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 85.076 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 85.076 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.077 * [backup-simplify]: Simplify (+ 0) into 0 85.078 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 85.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 85.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.079 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 85.080 * [backup-simplify]: Simplify (- 0) into 0 85.080 * [backup-simplify]: Simplify (+ 0 0) into 0 85.080 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 85.081 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 85.081 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 85.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 85.082 * [backup-simplify]: Simplify (+ 0 0) into 0 85.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 85.082 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 85.082 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 85.082 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 85.082 * [taylor]: Taking taylor expansion of 1/4 in U 85.082 * [backup-simplify]: Simplify 1/4 into 1/4 85.082 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 85.083 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.083 * [taylor]: Taking taylor expansion of U in U 85.083 * [backup-simplify]: Simplify 0 into 0 85.083 * [backup-simplify]: Simplify 1 into 1 85.083 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 85.083 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 85.083 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 85.083 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 85.083 * [taylor]: Taking taylor expansion of 1/2 in U 85.083 * [backup-simplify]: Simplify 1/2 into 1/2 85.083 * [taylor]: Taking taylor expansion of K in U 85.083 * [backup-simplify]: Simplify K into K 85.083 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 85.083 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 85.083 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 85.083 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 85.083 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 85.084 * [backup-simplify]: Simplify (- 0) into 0 85.084 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 85.084 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.084 * [taylor]: Taking taylor expansion of J in U 85.084 * [backup-simplify]: Simplify J into J 85.084 * [backup-simplify]: Simplify (* 1 1) into 1 85.084 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 85.084 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.084 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 85.085 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 85.085 * [taylor]: Taking taylor expansion of 1 in U 85.085 * [backup-simplify]: Simplify 1 into 1 85.085 * [backup-simplify]: Simplify (+ 0 1) into 1 85.086 * [backup-simplify]: Simplify (sqrt 1) into 1 85.086 * [backup-simplify]: Simplify (+ 0 0) into 0 85.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 85.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 85.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 85.087 * [taylor]: Taking taylor expansion of 1/4 in U 85.087 * [backup-simplify]: Simplify 1/4 into 1/4 85.087 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 85.087 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.087 * [taylor]: Taking taylor expansion of U in U 85.087 * [backup-simplify]: Simplify 0 into 0 85.087 * [backup-simplify]: Simplify 1 into 1 85.087 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 85.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 85.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 85.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 85.087 * [taylor]: Taking taylor expansion of 1/2 in U 85.087 * [backup-simplify]: Simplify 1/2 into 1/2 85.087 * [taylor]: Taking taylor expansion of K in U 85.087 * [backup-simplify]: Simplify K into K 85.087 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 85.087 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 85.087 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 85.087 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 85.088 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 85.088 * [backup-simplify]: Simplify (- 0) into 0 85.088 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 85.088 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.088 * [taylor]: Taking taylor expansion of J in U 85.088 * [backup-simplify]: Simplify J into J 85.088 * [backup-simplify]: Simplify (* 1 1) into 1 85.089 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 85.089 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.089 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 85.089 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 85.089 * [taylor]: Taking taylor expansion of 1 in U 85.089 * [backup-simplify]: Simplify 1 into 1 85.090 * [backup-simplify]: Simplify (+ 0 1) into 1 85.090 * [backup-simplify]: Simplify (sqrt 1) into 1 85.090 * [backup-simplify]: Simplify (+ 0 0) into 0 85.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.091 * [taylor]: Taking taylor expansion of 1 in J 85.091 * [backup-simplify]: Simplify 1 into 1 85.091 * [taylor]: Taking taylor expansion of 0 in J 85.091 * [backup-simplify]: Simplify 0 into 0 85.091 * [taylor]: Taking taylor expansion of 1 in K 85.091 * [backup-simplify]: Simplify 1 into 1 85.091 * [backup-simplify]: Simplify 1 into 1 85.092 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 85.092 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 85.093 * [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))) 85.093 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 85.093 * [taylor]: Taking taylor expansion of 1/8 in J 85.093 * [backup-simplify]: Simplify 1/8 into 1/8 85.093 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 85.093 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 85.093 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 85.093 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 85.093 * [taylor]: Taking taylor expansion of 1/2 in J 85.093 * [backup-simplify]: Simplify 1/2 into 1/2 85.094 * [taylor]: Taking taylor expansion of K in J 85.094 * [backup-simplify]: Simplify K into K 85.094 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 85.094 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 85.094 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 85.094 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 85.094 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 85.094 * [backup-simplify]: Simplify (- 0) into 0 85.094 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 85.094 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.094 * [taylor]: Taking taylor expansion of J in J 85.094 * [backup-simplify]: Simplify 0 into 0 85.094 * [backup-simplify]: Simplify 1 into 1 85.095 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 85.095 * [backup-simplify]: Simplify (* 1 1) into 1 85.095 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 85.095 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 85.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.096 * [backup-simplify]: Simplify (+ 0) into 0 85.097 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 85.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 85.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.099 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 85.099 * [backup-simplify]: Simplify (- 0) into 0 85.099 * [backup-simplify]: Simplify (+ 0 0) into 0 85.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 85.100 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 85.100 * [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 85.100 * [taylor]: Taking taylor expansion of 0 in K 85.100 * [backup-simplify]: Simplify 0 into 0 85.100 * [backup-simplify]: Simplify 0 into 0 85.100 * [taylor]: Taking taylor expansion of 0 in K 85.101 * [backup-simplify]: Simplify 0 into 0 85.101 * [backup-simplify]: Simplify 0 into 0 85.101 * [taylor]: Taking taylor expansion of 0 in K 85.101 * [backup-simplify]: Simplify 0 into 0 85.101 * [backup-simplify]: Simplify 0 into 0 85.101 * [backup-simplify]: Simplify 0 into 0 85.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.102 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.102 * [backup-simplify]: Simplify (+ 0) into 0 85.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 85.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 85.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.104 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 85.105 * [backup-simplify]: Simplify (- 0) into 0 85.105 * [backup-simplify]: Simplify (+ 0 0) into 0 85.105 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 85.105 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 85.106 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 85.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 85.107 * [backup-simplify]: Simplify (+ 0 0) into 0 85.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 85.108 * [taylor]: Taking taylor expansion of 0 in J 85.108 * [backup-simplify]: Simplify 0 into 0 85.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.110 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 85.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.113 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.113 * [backup-simplify]: Simplify (- 0) into 0 85.114 * [backup-simplify]: Simplify (+ 0 0) into 0 85.114 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 85.115 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 85.116 * [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 85.116 * [taylor]: Taking taylor expansion of 0 in K 85.116 * [backup-simplify]: Simplify 0 into 0 85.116 * [backup-simplify]: Simplify 0 into 0 85.116 * [taylor]: Taking taylor expansion of 0 in K 85.116 * [backup-simplify]: Simplify 0 into 0 85.116 * [backup-simplify]: Simplify 0 into 0 85.116 * [backup-simplify]: Simplify 1 into 1 85.117 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 85.117 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 85.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 85.117 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 85.117 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 85.117 * [taylor]: Taking taylor expansion of 1/4 in K 85.117 * [backup-simplify]: Simplify 1/4 into 1/4 85.117 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 85.117 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.117 * [taylor]: Taking taylor expansion of J in K 85.117 * [backup-simplify]: Simplify J into J 85.117 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 85.117 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.117 * [taylor]: Taking taylor expansion of U in K 85.117 * [backup-simplify]: Simplify U into U 85.117 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 85.118 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.118 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.118 * [taylor]: Taking taylor expansion of 1/2 in K 85.118 * [backup-simplify]: Simplify 1/2 into 1/2 85.118 * [taylor]: Taking taylor expansion of K in K 85.118 * [backup-simplify]: Simplify 0 into 0 85.118 * [backup-simplify]: Simplify 1 into 1 85.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.118 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.118 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.118 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.119 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.119 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 85.119 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 85.119 * [taylor]: Taking taylor expansion of 1 in K 85.119 * [backup-simplify]: Simplify 1 into 1 85.119 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 85.120 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 85.120 * [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)) 85.120 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 85.121 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.121 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 85.121 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 85.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 85.123 * [backup-simplify]: Simplify (+ 0 0) into 0 85.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 85.123 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 85.123 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 85.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 85.123 * [taylor]: Taking taylor expansion of 1/4 in J 85.123 * [backup-simplify]: Simplify 1/4 into 1/4 85.123 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 85.123 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.123 * [taylor]: Taking taylor expansion of J in J 85.123 * [backup-simplify]: Simplify 0 into 0 85.123 * [backup-simplify]: Simplify 1 into 1 85.123 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 85.123 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.124 * [taylor]: Taking taylor expansion of U in J 85.124 * [backup-simplify]: Simplify U into U 85.124 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 85.124 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 85.124 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 85.124 * [taylor]: Taking taylor expansion of 1/2 in J 85.124 * [backup-simplify]: Simplify 1/2 into 1/2 85.124 * [taylor]: Taking taylor expansion of K in J 85.124 * [backup-simplify]: Simplify K into K 85.124 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.124 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.124 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.124 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.124 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.125 * [backup-simplify]: Simplify (- 0) into 0 85.125 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.125 * [backup-simplify]: Simplify (* 1 1) into 1 85.125 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.125 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.125 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 85.126 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 85.126 * [taylor]: Taking taylor expansion of 1 in J 85.126 * [backup-simplify]: Simplify 1 into 1 85.126 * [backup-simplify]: Simplify (+ 0 1) into 1 85.127 * [backup-simplify]: Simplify (sqrt 1) into 1 85.127 * [backup-simplify]: Simplify (+ 0 0) into 0 85.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.132 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 85.132 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 85.132 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 85.132 * [taylor]: Taking taylor expansion of 1/4 in U 85.132 * [backup-simplify]: Simplify 1/4 into 1/4 85.132 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 85.132 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.132 * [taylor]: Taking taylor expansion of J in U 85.132 * [backup-simplify]: Simplify J into J 85.132 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 85.132 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.132 * [taylor]: Taking taylor expansion of U in U 85.132 * [backup-simplify]: Simplify 0 into 0 85.132 * [backup-simplify]: Simplify 1 into 1 85.132 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 85.133 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 85.133 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 85.133 * [taylor]: Taking taylor expansion of 1/2 in U 85.133 * [backup-simplify]: Simplify 1/2 into 1/2 85.133 * [taylor]: Taking taylor expansion of K in U 85.133 * [backup-simplify]: Simplify K into K 85.133 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.133 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.133 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.133 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.133 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.134 * [backup-simplify]: Simplify (- 0) into 0 85.134 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.134 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.134 * [backup-simplify]: Simplify (* 1 1) into 1 85.135 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.135 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 85.135 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 85.135 * [taylor]: Taking taylor expansion of 1 in U 85.135 * [backup-simplify]: Simplify 1 into 1 85.135 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 85.135 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 85.136 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 85.136 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.136 * [backup-simplify]: Simplify (+ 0) into 0 85.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.137 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.138 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.138 * [backup-simplify]: Simplify (- 0) into 0 85.139 * [backup-simplify]: Simplify (+ 0 0) into 0 85.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 85.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 85.141 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 85.141 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 85.142 * [backup-simplify]: Simplify (+ 0 0) into 0 85.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 85.142 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 85.142 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 85.142 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 85.142 * [taylor]: Taking taylor expansion of 1/4 in U 85.142 * [backup-simplify]: Simplify 1/4 into 1/4 85.142 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 85.142 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.142 * [taylor]: Taking taylor expansion of J in U 85.142 * [backup-simplify]: Simplify J into J 85.142 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 85.142 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.142 * [taylor]: Taking taylor expansion of U in U 85.142 * [backup-simplify]: Simplify 0 into 0 85.142 * [backup-simplify]: Simplify 1 into 1 85.142 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 85.142 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 85.142 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 85.142 * [taylor]: Taking taylor expansion of 1/2 in U 85.142 * [backup-simplify]: Simplify 1/2 into 1/2 85.142 * [taylor]: Taking taylor expansion of K in U 85.142 * [backup-simplify]: Simplify K into K 85.143 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.143 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.143 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.143 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.143 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.143 * [backup-simplify]: Simplify (- 0) into 0 85.143 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.143 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.144 * [backup-simplify]: Simplify (* 1 1) into 1 85.144 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.144 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 85.144 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 85.144 * [taylor]: Taking taylor expansion of 1 in U 85.144 * [backup-simplify]: Simplify 1 into 1 85.144 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 85.145 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 85.145 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 85.145 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.145 * [backup-simplify]: Simplify (+ 0) into 0 85.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.147 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.148 * [backup-simplify]: Simplify (- 0) into 0 85.148 * [backup-simplify]: Simplify (+ 0 0) into 0 85.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 85.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 85.150 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 85.150 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 85.151 * [backup-simplify]: Simplify (+ 0 0) into 0 85.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 85.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 85.151 * [taylor]: Taking taylor expansion of 1/2 in J 85.151 * [backup-simplify]: Simplify 1/2 into 1/2 85.151 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 85.151 * [taylor]: Taking taylor expansion of J in J 85.151 * [backup-simplify]: Simplify 0 into 0 85.151 * [backup-simplify]: Simplify 1 into 1 85.151 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 85.151 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 85.151 * [taylor]: Taking taylor expansion of 1/2 in J 85.151 * [backup-simplify]: Simplify 1/2 into 1/2 85.151 * [taylor]: Taking taylor expansion of K in J 85.151 * [backup-simplify]: Simplify K into K 85.151 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.152 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.152 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.152 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.152 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.152 * [backup-simplify]: Simplify (- 0) into 0 85.152 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.152 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 85.153 * [taylor]: Taking taylor expansion of 0 in J 85.153 * [backup-simplify]: Simplify 0 into 0 85.153 * [taylor]: Taking taylor expansion of 0 in K 85.153 * [backup-simplify]: Simplify 0 into 0 85.153 * [backup-simplify]: Simplify 0 into 0 85.153 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 85.153 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 85.153 * [taylor]: Taking taylor expansion of 1/2 in K 85.153 * [backup-simplify]: Simplify 1/2 into 1/2 85.153 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.153 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.153 * [taylor]: Taking taylor expansion of 1/2 in K 85.153 * [backup-simplify]: Simplify 1/2 into 1/2 85.153 * [taylor]: Taking taylor expansion of K in K 85.153 * [backup-simplify]: Simplify 0 into 0 85.153 * [backup-simplify]: Simplify 1 into 1 85.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.154 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 85.154 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 85.154 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 85.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.158 * [backup-simplify]: Simplify (- 0) into 0 85.158 * [backup-simplify]: Simplify (+ 0 0) into 0 85.159 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 85.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 85.161 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 85.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 85.163 * [backup-simplify]: Simplify (+ 0 1) into 1 85.164 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 85.164 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 85.164 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 85.164 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 85.164 * [taylor]: Taking taylor expansion of 1/2 in J 85.164 * [backup-simplify]: Simplify 1/2 into 1/2 85.164 * [taylor]: Taking taylor expansion of K in J 85.164 * [backup-simplify]: Simplify K into K 85.164 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.164 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.164 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.164 * [taylor]: Taking taylor expansion of J in J 85.164 * [backup-simplify]: Simplify 0 into 0 85.164 * [backup-simplify]: Simplify 1 into 1 85.164 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.164 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.165 * [backup-simplify]: Simplify (- 0) into 0 85.165 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.165 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.165 * [backup-simplify]: Simplify (+ 0) into 0 85.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.167 * [backup-simplify]: Simplify (- 0) into 0 85.168 * [backup-simplify]: Simplify (+ 0 0) into 0 85.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 85.169 * [taylor]: Taking taylor expansion of 0 in K 85.169 * [backup-simplify]: Simplify 0 into 0 85.169 * [backup-simplify]: Simplify 0 into 0 85.169 * [taylor]: Taking taylor expansion of 0 in K 85.169 * [backup-simplify]: Simplify 0 into 0 85.169 * [backup-simplify]: Simplify 0 into 0 85.169 * [backup-simplify]: Simplify (+ 0) into 0 85.170 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.172 * [backup-simplify]: Simplify (- 0) into 0 85.172 * [backup-simplify]: Simplify (+ 0 0) into 0 85.172 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 85.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 85.173 * [taylor]: Taking taylor expansion of 0 in K 85.173 * [backup-simplify]: Simplify 0 into 0 85.173 * [backup-simplify]: Simplify 0 into 0 85.173 * [backup-simplify]: Simplify 0 into 0 85.173 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 85.173 * [backup-simplify]: Simplify 0 into 0 85.174 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 85.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 85.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 85.179 * [backup-simplify]: Simplify (- 0) into 0 85.179 * [backup-simplify]: Simplify (+ 0 0) into 0 85.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 85.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 85.183 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 85.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 85.185 * [backup-simplify]: Simplify (+ 0 0) into 0 85.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 85.185 * [taylor]: Taking taylor expansion of 0 in J 85.186 * [backup-simplify]: Simplify 0 into 0 85.186 * [taylor]: Taking taylor expansion of 0 in K 85.186 * [backup-simplify]: Simplify 0 into 0 85.186 * [backup-simplify]: Simplify 0 into 0 85.186 * [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))) 85.187 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 85.187 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 85.187 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 85.187 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 85.187 * [taylor]: Taking taylor expansion of 1 in K 85.187 * [backup-simplify]: Simplify 1 into 1 85.187 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 85.187 * [taylor]: Taking taylor expansion of 1/4 in K 85.187 * [backup-simplify]: Simplify 1/4 into 1/4 85.187 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 85.187 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.187 * [taylor]: Taking taylor expansion of J in K 85.187 * [backup-simplify]: Simplify J into J 85.187 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 85.187 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 85.187 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.187 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.187 * [taylor]: Taking taylor expansion of -1/2 in K 85.187 * [backup-simplify]: Simplify -1/2 into -1/2 85.187 * [taylor]: Taking taylor expansion of K in K 85.187 * [backup-simplify]: Simplify 0 into 0 85.187 * [backup-simplify]: Simplify 1 into 1 85.188 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.188 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.188 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.188 * [taylor]: Taking taylor expansion of U in K 85.188 * [backup-simplify]: Simplify U into U 85.188 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.188 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.188 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 85.188 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.189 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 85.189 * [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))))) 85.190 * [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)))))) 85.190 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.190 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.190 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 85.191 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 85.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 85.192 * [backup-simplify]: Simplify (+ 0 0) into 0 85.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 85.192 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 85.192 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 85.193 * [taylor]: Taking taylor expansion of 1 in J 85.193 * [backup-simplify]: Simplify 1 into 1 85.193 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 85.193 * [taylor]: Taking taylor expansion of 1/4 in J 85.193 * [backup-simplify]: Simplify 1/4 into 1/4 85.193 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 85.193 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.193 * [taylor]: Taking taylor expansion of J in J 85.193 * [backup-simplify]: Simplify 0 into 0 85.193 * [backup-simplify]: Simplify 1 into 1 85.193 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 85.193 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 85.193 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.193 * [taylor]: Taking taylor expansion of -1/2 in J 85.193 * [backup-simplify]: Simplify -1/2 into -1/2 85.193 * [taylor]: Taking taylor expansion of K in J 85.193 * [backup-simplify]: Simplify K into K 85.193 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.193 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.193 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.194 * [backup-simplify]: Simplify (- 0) into 0 85.194 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.194 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.194 * [taylor]: Taking taylor expansion of U in J 85.194 * [backup-simplify]: Simplify U into U 85.194 * [backup-simplify]: Simplify (* 1 1) into 1 85.194 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.194 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.195 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 85.195 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.195 * [backup-simplify]: Simplify (+ 1 0) into 1 85.196 * [backup-simplify]: Simplify (sqrt 1) into 1 85.196 * [backup-simplify]: Simplify (+ 0 0) into 0 85.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.197 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 85.197 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 85.197 * [taylor]: Taking taylor expansion of 1 in U 85.197 * [backup-simplify]: Simplify 1 into 1 85.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 85.197 * [taylor]: Taking taylor expansion of 1/4 in U 85.197 * [backup-simplify]: Simplify 1/4 into 1/4 85.197 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 85.197 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.197 * [taylor]: Taking taylor expansion of J in U 85.197 * [backup-simplify]: Simplify J into J 85.197 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 85.197 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 85.197 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.197 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.197 * [taylor]: Taking taylor expansion of -1/2 in U 85.197 * [backup-simplify]: Simplify -1/2 into -1/2 85.197 * [taylor]: Taking taylor expansion of K in U 85.197 * [backup-simplify]: Simplify K into K 85.197 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.197 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.197 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.198 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.198 * [backup-simplify]: Simplify (- 0) into 0 85.198 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.198 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.198 * [taylor]: Taking taylor expansion of U in U 85.198 * [backup-simplify]: Simplify 0 into 0 85.198 * [backup-simplify]: Simplify 1 into 1 85.198 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.199 * [backup-simplify]: Simplify (* 1 1) into 1 85.199 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 85.199 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 85.199 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 85.199 * [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))) 85.200 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 85.200 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.201 * [backup-simplify]: Simplify (+ 0) into 0 85.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.203 * [backup-simplify]: Simplify (- 0) into 0 85.203 * [backup-simplify]: Simplify (+ 0 0) into 0 85.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.204 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 85.205 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 85.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 85.206 * [backup-simplify]: Simplify (+ 0 0) into 0 85.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 85.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 85.206 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 85.206 * [taylor]: Taking taylor expansion of 1 in U 85.206 * [backup-simplify]: Simplify 1 into 1 85.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 85.206 * [taylor]: Taking taylor expansion of 1/4 in U 85.206 * [backup-simplify]: Simplify 1/4 into 1/4 85.206 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 85.206 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.206 * [taylor]: Taking taylor expansion of J in U 85.206 * [backup-simplify]: Simplify J into J 85.206 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 85.206 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 85.206 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.206 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.206 * [taylor]: Taking taylor expansion of -1/2 in U 85.206 * [backup-simplify]: Simplify -1/2 into -1/2 85.206 * [taylor]: Taking taylor expansion of K in U 85.206 * [backup-simplify]: Simplify K into K 85.207 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.207 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.207 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.207 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.207 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.207 * [backup-simplify]: Simplify (- 0) into 0 85.207 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.207 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.207 * [taylor]: Taking taylor expansion of U in U 85.207 * [backup-simplify]: Simplify 0 into 0 85.207 * [backup-simplify]: Simplify 1 into 1 85.208 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.208 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.208 * [backup-simplify]: Simplify (* 1 1) into 1 85.208 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 85.208 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 85.208 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 85.209 * [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))) 85.209 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 85.209 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.210 * [backup-simplify]: Simplify (+ 0) into 0 85.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.211 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.212 * [backup-simplify]: Simplify (- 0) into 0 85.213 * [backup-simplify]: Simplify (+ 0 0) into 0 85.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.213 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 85.214 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 85.214 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 85.215 * [backup-simplify]: Simplify (+ 0 0) into 0 85.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 85.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 85.215 * [taylor]: Taking taylor expansion of 1/2 in J 85.215 * [backup-simplify]: Simplify 1/2 into 1/2 85.215 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 85.215 * [taylor]: Taking taylor expansion of J in J 85.215 * [backup-simplify]: Simplify 0 into 0 85.215 * [backup-simplify]: Simplify 1 into 1 85.215 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.215 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.215 * [taylor]: Taking taylor expansion of -1/2 in J 85.215 * [backup-simplify]: Simplify -1/2 into -1/2 85.215 * [taylor]: Taking taylor expansion of K in J 85.215 * [backup-simplify]: Simplify K into K 85.215 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.216 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.216 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.216 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.216 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.216 * [backup-simplify]: Simplify (- 0) into 0 85.216 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.216 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 85.216 * [taylor]: Taking taylor expansion of 0 in J 85.216 * [backup-simplify]: Simplify 0 into 0 85.216 * [taylor]: Taking taylor expansion of 0 in K 85.216 * [backup-simplify]: Simplify 0 into 0 85.217 * [backup-simplify]: Simplify 0 into 0 85.217 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 85.217 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 85.217 * [taylor]: Taking taylor expansion of 1/2 in K 85.217 * [backup-simplify]: Simplify 1/2 into 1/2 85.217 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.217 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.217 * [taylor]: Taking taylor expansion of -1/2 in K 85.217 * [backup-simplify]: Simplify -1/2 into -1/2 85.217 * [taylor]: Taking taylor expansion of K in K 85.217 * [backup-simplify]: Simplify 0 into 0 85.217 * [backup-simplify]: Simplify 1 into 1 85.217 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.217 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.218 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 85.218 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 85.218 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 85.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.223 * [backup-simplify]: Simplify (- 0) into 0 85.223 * [backup-simplify]: Simplify (+ 0 0) into 0 85.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 85.224 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 85.225 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 85.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 85.226 * [backup-simplify]: Simplify (+ 1 0) into 1 85.227 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 85.227 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 85.227 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.227 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.227 * [taylor]: Taking taylor expansion of -1/2 in J 85.227 * [backup-simplify]: Simplify -1/2 into -1/2 85.227 * [taylor]: Taking taylor expansion of K in J 85.227 * [backup-simplify]: Simplify K into K 85.228 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.228 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.228 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.228 * [taylor]: Taking taylor expansion of J in J 85.228 * [backup-simplify]: Simplify 0 into 0 85.228 * [backup-simplify]: Simplify 1 into 1 85.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.228 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.228 * [backup-simplify]: Simplify (- 0) into 0 85.228 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.229 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.229 * [backup-simplify]: Simplify (+ 0) into 0 85.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.231 * [backup-simplify]: Simplify (- 0) into 0 85.232 * [backup-simplify]: Simplify (+ 0 0) into 0 85.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 85.232 * [taylor]: Taking taylor expansion of 0 in K 85.232 * [backup-simplify]: Simplify 0 into 0 85.232 * [backup-simplify]: Simplify 0 into 0 85.233 * [taylor]: Taking taylor expansion of 0 in K 85.233 * [backup-simplify]: Simplify 0 into 0 85.233 * [backup-simplify]: Simplify 0 into 0 85.233 * [backup-simplify]: Simplify (+ 0) into 0 85.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.235 * [backup-simplify]: Simplify (- 0) into 0 85.236 * [backup-simplify]: Simplify (+ 0 0) into 0 85.236 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 85.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 85.236 * [taylor]: Taking taylor expansion of 0 in K 85.236 * [backup-simplify]: Simplify 0 into 0 85.236 * [backup-simplify]: Simplify 0 into 0 85.236 * [backup-simplify]: Simplify 0 into 0 85.237 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 85.237 * [backup-simplify]: Simplify 0 into 0 85.238 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 85.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.240 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 85.243 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 85.244 * [backup-simplify]: Simplify (- 0) into 0 85.244 * [backup-simplify]: Simplify (+ 0 0) into 0 85.245 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 85.246 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.246 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 85.248 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 85.248 * [backup-simplify]: Simplify (+ 0 0) into 0 85.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 85.248 * [taylor]: Taking taylor expansion of 0 in J 85.248 * [backup-simplify]: Simplify 0 into 0 85.248 * [taylor]: Taking taylor expansion of 0 in K 85.248 * [backup-simplify]: Simplify 0 into 0 85.248 * [backup-simplify]: Simplify 0 into 0 85.249 * [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))) 85.249 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 85.249 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 85.249 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 85.249 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 85.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 85.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 85.249 * [taylor]: Taking taylor expansion of 1/3 in K 85.249 * [backup-simplify]: Simplify 1/3 into 1/3 85.249 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 85.249 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.249 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.249 * [taylor]: Taking taylor expansion of 1/2 in K 85.249 * [backup-simplify]: Simplify 1/2 into 1/2 85.249 * [taylor]: Taking taylor expansion of K in K 85.249 * [backup-simplify]: Simplify 0 into 0 85.249 * [backup-simplify]: Simplify 1 into 1 85.250 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.250 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.251 * [backup-simplify]: Simplify (log 1) into 0 85.251 * [backup-simplify]: Simplify (* 1/3 0) into 0 85.252 * [backup-simplify]: Simplify (+ 0) into 0 85.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 85.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.257 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 85.258 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 85.258 * [backup-simplify]: Simplify (exp 0) into 1 85.258 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 85.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 85.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 85.258 * [taylor]: Taking taylor expansion of 1/3 in K 85.258 * [backup-simplify]: Simplify 1/3 into 1/3 85.258 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 85.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.259 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.259 * [taylor]: Taking taylor expansion of 1/2 in K 85.259 * [backup-simplify]: Simplify 1/2 into 1/2 85.259 * [taylor]: Taking taylor expansion of K in K 85.259 * [backup-simplify]: Simplify 0 into 0 85.259 * [backup-simplify]: Simplify 1 into 1 85.259 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.260 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.260 * [backup-simplify]: Simplify (log 1) into 0 85.261 * [backup-simplify]: Simplify (* 1/3 0) into 0 85.261 * [backup-simplify]: Simplify (+ 0) into 0 85.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 85.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 85.268 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 85.268 * [backup-simplify]: Simplify (exp 0) into 1 85.268 * [backup-simplify]: Simplify 1 into 1 85.269 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 85.269 * [backup-simplify]: Simplify 0 into 0 85.271 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 85.271 * [backup-simplify]: Simplify -1/24 into -1/24 85.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 85.273 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.279 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 85.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 85.287 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.287 * [backup-simplify]: Simplify 0 into 0 85.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 85.292 * [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 85.299 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 85.299 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 85.302 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 85.302 * [backup-simplify]: Simplify -1/1152 into -1/1152 85.303 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 85.303 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 85.303 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 85.303 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 85.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 85.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 85.303 * [taylor]: Taking taylor expansion of 1/3 in K 85.303 * [backup-simplify]: Simplify 1/3 into 1/3 85.303 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 85.303 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.303 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.303 * [taylor]: Taking taylor expansion of 1/2 in K 85.303 * [backup-simplify]: Simplify 1/2 into 1/2 85.303 * [taylor]: Taking taylor expansion of K in K 85.303 * [backup-simplify]: Simplify 0 into 0 85.303 * [backup-simplify]: Simplify 1 into 1 85.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.303 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.303 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 85.303 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 85.304 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 85.304 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 85.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 85.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 85.304 * [taylor]: Taking taylor expansion of 1/3 in K 85.304 * [backup-simplify]: Simplify 1/3 into 1/3 85.304 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 85.304 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.304 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.304 * [taylor]: Taking taylor expansion of 1/2 in K 85.304 * [backup-simplify]: Simplify 1/2 into 1/2 85.304 * [taylor]: Taking taylor expansion of K in K 85.304 * [backup-simplify]: Simplify 0 into 0 85.304 * [backup-simplify]: Simplify 1 into 1 85.304 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.304 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.304 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 85.304 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 85.304 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 85.304 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 85.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 85.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 85.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 85.306 * [backup-simplify]: Simplify 0 into 0 85.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 85.307 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 85.308 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.308 * [backup-simplify]: Simplify 0 into 0 85.310 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 85.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 85.311 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.312 * [backup-simplify]: Simplify 0 into 0 85.314 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 85.315 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 85.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.317 * [backup-simplify]: Simplify 0 into 0 85.321 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 85.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 85.324 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.324 * [backup-simplify]: Simplify 0 into 0 85.331 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 85.333 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 85.336 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.336 * [backup-simplify]: Simplify 0 into 0 85.336 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 85.336 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 85.336 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 85.336 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 85.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 85.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 85.336 * [taylor]: Taking taylor expansion of 1/3 in K 85.336 * [backup-simplify]: Simplify 1/3 into 1/3 85.336 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 85.336 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.336 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.336 * [taylor]: Taking taylor expansion of -1/2 in K 85.336 * [backup-simplify]: Simplify -1/2 into -1/2 85.336 * [taylor]: Taking taylor expansion of K in K 85.336 * [backup-simplify]: Simplify 0 into 0 85.336 * [backup-simplify]: Simplify 1 into 1 85.337 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.337 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.337 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 85.337 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 85.337 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 85.337 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 85.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 85.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 85.337 * [taylor]: Taking taylor expansion of 1/3 in K 85.337 * [backup-simplify]: Simplify 1/3 into 1/3 85.337 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 85.337 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.337 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.337 * [taylor]: Taking taylor expansion of -1/2 in K 85.337 * [backup-simplify]: Simplify -1/2 into -1/2 85.337 * [taylor]: Taking taylor expansion of K in K 85.337 * [backup-simplify]: Simplify 0 into 0 85.337 * [backup-simplify]: Simplify 1 into 1 85.337 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.337 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.337 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 85.337 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 85.338 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 85.338 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 85.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 85.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 85.339 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 85.339 * [backup-simplify]: Simplify 0 into 0 85.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 85.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 85.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.342 * [backup-simplify]: Simplify 0 into 0 85.343 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 85.344 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 85.345 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.345 * [backup-simplify]: Simplify 0 into 0 85.348 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 85.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 85.350 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.350 * [backup-simplify]: Simplify 0 into 0 85.355 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 85.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 85.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.358 * [backup-simplify]: Simplify 0 into 0 85.365 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 85.367 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 85.373 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.374 * [backup-simplify]: Simplify 0 into 0 85.374 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 85.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 85.374 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 85.374 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 85.374 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 85.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 85.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 85.374 * [taylor]: Taking taylor expansion of 1/3 in K 85.374 * [backup-simplify]: Simplify 1/3 into 1/3 85.374 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 85.374 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.374 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.374 * [taylor]: Taking taylor expansion of 1/2 in K 85.374 * [backup-simplify]: Simplify 1/2 into 1/2 85.374 * [taylor]: Taking taylor expansion of K in K 85.374 * [backup-simplify]: Simplify 0 into 0 85.374 * [backup-simplify]: Simplify 1 into 1 85.375 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.380 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.380 * [backup-simplify]: Simplify (log 1) into 0 85.381 * [backup-simplify]: Simplify (* 1/3 0) into 0 85.381 * [backup-simplify]: Simplify (+ 0) into 0 85.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.382 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 85.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 85.385 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 85.385 * [backup-simplify]: Simplify (exp 0) into 1 85.385 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 85.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 85.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 85.385 * [taylor]: Taking taylor expansion of 1/3 in K 85.385 * [backup-simplify]: Simplify 1/3 into 1/3 85.385 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 85.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.385 * [taylor]: Taking taylor expansion of 1/2 in K 85.385 * [backup-simplify]: Simplify 1/2 into 1/2 85.385 * [taylor]: Taking taylor expansion of K in K 85.385 * [backup-simplify]: Simplify 0 into 0 85.385 * [backup-simplify]: Simplify 1 into 1 85.386 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.386 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.386 * [backup-simplify]: Simplify (log 1) into 0 85.386 * [backup-simplify]: Simplify (* 1/3 0) into 0 85.387 * [backup-simplify]: Simplify (+ 0) into 0 85.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 85.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 85.391 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 85.391 * [backup-simplify]: Simplify (exp 0) into 1 85.391 * [backup-simplify]: Simplify 1 into 1 85.392 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 85.392 * [backup-simplify]: Simplify 0 into 0 85.393 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 85.393 * [backup-simplify]: Simplify -1/24 into -1/24 85.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 85.394 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.397 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 85.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 85.399 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.399 * [backup-simplify]: Simplify 0 into 0 85.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 85.402 * [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 85.408 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 85.409 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 85.414 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 85.414 * [backup-simplify]: Simplify -1/1152 into -1/1152 85.415 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 85.415 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 85.415 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 85.415 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 85.415 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 85.415 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 85.415 * [taylor]: Taking taylor expansion of 1/3 in K 85.415 * [backup-simplify]: Simplify 1/3 into 1/3 85.415 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 85.415 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.415 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.415 * [taylor]: Taking taylor expansion of 1/2 in K 85.415 * [backup-simplify]: Simplify 1/2 into 1/2 85.415 * [taylor]: Taking taylor expansion of K in K 85.415 * [backup-simplify]: Simplify 0 into 0 85.415 * [backup-simplify]: Simplify 1 into 1 85.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.416 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.416 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 85.416 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 85.416 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 85.416 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 85.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 85.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 85.416 * [taylor]: Taking taylor expansion of 1/3 in K 85.416 * [backup-simplify]: Simplify 1/3 into 1/3 85.416 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 85.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.416 * [taylor]: Taking taylor expansion of 1/2 in K 85.416 * [backup-simplify]: Simplify 1/2 into 1/2 85.417 * [taylor]: Taking taylor expansion of K in K 85.417 * [backup-simplify]: Simplify 0 into 0 85.417 * [backup-simplify]: Simplify 1 into 1 85.417 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.417 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.417 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 85.417 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 85.417 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 85.418 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 85.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 85.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 85.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 85.420 * [backup-simplify]: Simplify 0 into 0 85.421 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 85.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 85.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.423 * [backup-simplify]: Simplify 0 into 0 85.424 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 85.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 85.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.427 * [backup-simplify]: Simplify 0 into 0 85.430 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 85.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 85.432 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.432 * [backup-simplify]: Simplify 0 into 0 85.436 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 85.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 85.440 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.440 * [backup-simplify]: Simplify 0 into 0 85.446 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 85.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 85.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.451 * [backup-simplify]: Simplify 0 into 0 85.451 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 85.451 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 85.451 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 85.451 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 85.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 85.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 85.451 * [taylor]: Taking taylor expansion of 1/3 in K 85.451 * [backup-simplify]: Simplify 1/3 into 1/3 85.451 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 85.451 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.451 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.451 * [taylor]: Taking taylor expansion of -1/2 in K 85.451 * [backup-simplify]: Simplify -1/2 into -1/2 85.451 * [taylor]: Taking taylor expansion of K in K 85.451 * [backup-simplify]: Simplify 0 into 0 85.451 * [backup-simplify]: Simplify 1 into 1 85.452 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.452 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.452 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 85.452 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 85.452 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 85.452 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 85.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 85.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 85.452 * [taylor]: Taking taylor expansion of 1/3 in K 85.452 * [backup-simplify]: Simplify 1/3 into 1/3 85.452 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 85.452 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.452 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.452 * [taylor]: Taking taylor expansion of -1/2 in K 85.452 * [backup-simplify]: Simplify -1/2 into -1/2 85.452 * [taylor]: Taking taylor expansion of K in K 85.452 * [backup-simplify]: Simplify 0 into 0 85.452 * [backup-simplify]: Simplify 1 into 1 85.452 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.452 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.452 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 85.452 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 85.453 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 85.453 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 85.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 85.453 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 85.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 85.454 * [backup-simplify]: Simplify 0 into 0 85.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 85.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 85.456 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.456 * [backup-simplify]: Simplify 0 into 0 85.458 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 85.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 85.460 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.460 * [backup-simplify]: Simplify 0 into 0 85.462 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 85.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 85.465 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.465 * [backup-simplify]: Simplify 0 into 0 85.477 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 85.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 85.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.483 * [backup-simplify]: Simplify 0 into 0 85.496 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 85.498 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 85.504 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.504 * [backup-simplify]: Simplify 0 into 0 85.504 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 85.505 * * * [progress]: simplifying candidates 85.505 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 85.505 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 85.505 * * [simplify]: iters left: 6 (20 enodes) 85.516 * * [simplify]: iters left: 5 (84 enodes) 85.544 * * [simplify]: iters left: 4 (169 enodes) 85.616 * * [simplify]: iters left: 3 (446 enodes) 85.800 * * [simplify]: Extracting #0: cost 1 inf + 0 85.800 * * [simplify]: Extracting #1: cost 35 inf + 0 85.801 * * [simplify]: Extracting #2: cost 70 inf + 2 85.801 * * [simplify]: Extracting #3: cost 72 inf + 87 85.802 * * [simplify]: Extracting #4: cost 134 inf + 88 85.804 * * [simplify]: Extracting #5: cost 239 inf + 865 85.812 * * [simplify]: Extracting #6: cost 131 inf + 29442 85.829 * * [simplify]: Extracting #7: cost 7 inf + 62570 85.853 * * [simplify]: Extracting #8: cost 0 inf + 64458 85.893 * * [simplify]: Extracting #9: cost 0 inf + 64457 85.923 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 85.923 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 85.923 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 85.923 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 85.923 * * [simplify]: iters left: 6 (20 enodes) 85.929 * * [simplify]: iters left: 5 (84 enodes) 85.944 * * [simplify]: iters left: 4 (169 enodes) 85.997 * * [simplify]: iters left: 3 (446 enodes) 86.183 * * [simplify]: Extracting #0: cost 1 inf + 0 86.183 * * [simplify]: Extracting #1: cost 35 inf + 0 86.184 * * [simplify]: Extracting #2: cost 70 inf + 2 86.185 * * [simplify]: Extracting #3: cost 72 inf + 87 86.185 * * [simplify]: Extracting #4: cost 134 inf + 88 86.186 * * [simplify]: Extracting #5: cost 239 inf + 865 86.192 * * [simplify]: Extracting #6: cost 131 inf + 29442 86.208 * * [simplify]: Extracting #7: cost 7 inf + 62570 86.240 * * [simplify]: Extracting #8: cost 0 inf + 64458 86.260 * * [simplify]: Extracting #9: cost 0 inf + 64457 86.287 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 86.287 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 86.288 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 86.288 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 86.288 * * [simplify]: iters left: 6 (20 enodes) 86.299 * * [simplify]: iters left: 5 (84 enodes) 86.328 * * [simplify]: iters left: 4 (169 enodes) 86.403 * * [simplify]: iters left: 3 (446 enodes) 86.584 * * [simplify]: Extracting #0: cost 1 inf + 0 86.584 * * [simplify]: Extracting #1: cost 35 inf + 0 86.585 * * [simplify]: Extracting #2: cost 70 inf + 2 86.585 * * [simplify]: Extracting #3: cost 72 inf + 87 86.585 * * [simplify]: Extracting #4: cost 134 inf + 88 86.586 * * [simplify]: Extracting #5: cost 239 inf + 865 86.595 * * [simplify]: Extracting #6: cost 131 inf + 29442 86.617 * * [simplify]: Extracting #7: cost 7 inf + 62570 86.637 * * [simplify]: Extracting #8: cost 0 inf + 64458 86.677 * * [simplify]: Extracting #9: cost 0 inf + 64457 86.699 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 86.699 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 86.699 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 86.699 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 86.699 * * [simplify]: iters left: 6 (20 enodes) 86.705 * * [simplify]: iters left: 5 (84 enodes) 86.725 * * [simplify]: iters left: 4 (169 enodes) 86.779 * * [simplify]: iters left: 3 (446 enodes) 86.995 * * [simplify]: Extracting #0: cost 1 inf + 0 86.995 * * [simplify]: Extracting #1: cost 35 inf + 0 86.995 * * [simplify]: Extracting #2: cost 70 inf + 2 86.995 * * [simplify]: Extracting #3: cost 72 inf + 87 86.996 * * [simplify]: Extracting #4: cost 134 inf + 88 86.997 * * [simplify]: Extracting #5: cost 239 inf + 865 87.002 * * [simplify]: Extracting #6: cost 131 inf + 29442 87.028 * * [simplify]: Extracting #7: cost 7 inf + 62570 87.067 * * [simplify]: Extracting #8: cost 0 inf + 64458 87.085 * * [simplify]: Extracting #9: cost 0 inf + 64457 87.111 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 87.111 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 87.111 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 87.111 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 87.112 * * [simplify]: iters left: 6 (20 enodes) 87.117 * * [simplify]: iters left: 5 (84 enodes) 87.132 * * [simplify]: iters left: 4 (169 enodes) 87.187 * * [simplify]: iters left: 3 (446 enodes) 87.389 * * [simplify]: Extracting #0: cost 1 inf + 0 87.389 * * [simplify]: Extracting #1: cost 35 inf + 0 87.389 * * [simplify]: Extracting #2: cost 70 inf + 2 87.390 * * [simplify]: Extracting #3: cost 72 inf + 87 87.391 * * [simplify]: Extracting #4: cost 134 inf + 88 87.393 * * [simplify]: Extracting #5: cost 239 inf + 865 87.404 * * [simplify]: Extracting #6: cost 131 inf + 29442 87.437 * * [simplify]: Extracting #7: cost 7 inf + 62570 87.477 * * [simplify]: Extracting #8: cost 0 inf + 64458 87.513 * * [simplify]: Extracting #9: cost 0 inf + 64457 87.539 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 87.539 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 87.539 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 87.539 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 87.539 * * [simplify]: iters left: 6 (20 enodes) 87.545 * * [simplify]: iters left: 5 (84 enodes) 87.559 * * [simplify]: iters left: 4 (169 enodes) 87.611 * * [simplify]: iters left: 3 (446 enodes) 87.836 * * [simplify]: Extracting #0: cost 1 inf + 0 87.836 * * [simplify]: Extracting #1: cost 35 inf + 0 87.837 * * [simplify]: Extracting #2: cost 70 inf + 2 87.837 * * [simplify]: Extracting #3: cost 72 inf + 87 87.838 * * [simplify]: Extracting #4: cost 134 inf + 88 87.840 * * [simplify]: Extracting #5: cost 239 inf + 865 87.851 * * [simplify]: Extracting #6: cost 131 inf + 29442 87.873 * * [simplify]: Extracting #7: cost 7 inf + 62570 87.896 * * [simplify]: Extracting #8: cost 0 inf + 64458 87.918 * * [simplify]: Extracting #9: cost 0 inf + 64457 87.939 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 87.939 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 87.939 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 87.939 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 87.940 * * [simplify]: iters left: 6 (20 enodes) 87.950 * * [simplify]: iters left: 5 (84 enodes) 87.975 * * [simplify]: iters left: 4 (169 enodes) 88.026 * * [simplify]: iters left: 3 (446 enodes) 88.217 * * [simplify]: Extracting #0: cost 1 inf + 0 88.217 * * [simplify]: Extracting #1: cost 35 inf + 0 88.217 * * [simplify]: Extracting #2: cost 70 inf + 2 88.217 * * [simplify]: Extracting #3: cost 72 inf + 87 88.218 * * [simplify]: Extracting #4: cost 134 inf + 88 88.219 * * [simplify]: Extracting #5: cost 239 inf + 865 88.224 * * [simplify]: Extracting #6: cost 131 inf + 29442 88.244 * * [simplify]: Extracting #7: cost 7 inf + 62570 88.274 * * [simplify]: Extracting #8: cost 0 inf + 64458 88.291 * * [simplify]: Extracting #9: cost 0 inf + 64457 88.309 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 88.309 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 88.309 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 88.310 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 88.310 * * [simplify]: iters left: 6 (20 enodes) 88.316 * * [simplify]: iters left: 5 (84 enodes) 88.330 * * [simplify]: iters left: 4 (169 enodes) 88.371 * * [simplify]: iters left: 3 (446 enodes) 88.545 * * [simplify]: Extracting #0: cost 1 inf + 0 88.545 * * [simplify]: Extracting #1: cost 35 inf + 0 88.545 * * [simplify]: Extracting #2: cost 70 inf + 2 88.545 * * [simplify]: Extracting #3: cost 72 inf + 87 88.546 * * [simplify]: Extracting #4: cost 134 inf + 88 88.547 * * [simplify]: Extracting #5: cost 239 inf + 865 88.552 * * [simplify]: Extracting #6: cost 131 inf + 29442 88.572 * * [simplify]: Extracting #7: cost 7 inf + 62570 88.606 * * [simplify]: Extracting #8: cost 0 inf + 64458 88.641 * * [simplify]: Extracting #9: cost 0 inf + 64457 88.669 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 88.669 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 88.669 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 88.669 * [simplify]: Simplifying (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 88.669 * * [simplify]: iters left: 6 (20 enodes) 88.675 * * [simplify]: iters left: 5 (84 enodes) 88.691 * * [simplify]: iters left: 4 (169 enodes) 88.761 * * [simplify]: iters left: 3 (446 enodes) 88.944 * * [simplify]: Extracting #0: cost 1 inf + 0 88.944 * * [simplify]: Extracting #1: cost 35 inf + 0 88.944 * * [simplify]: Extracting #2: cost 70 inf + 2 88.945 * * [simplify]: Extracting #3: cost 72 inf + 87 88.946 * * [simplify]: Extracting #4: cost 134 inf + 88 88.948 * * [simplify]: Extracting #5: cost 239 inf + 865 88.960 * * [simplify]: Extracting #6: cost 131 inf + 29442 88.996 * * [simplify]: Extracting #7: cost 7 inf + 62570 89.022 * * [simplify]: Extracting #8: cost 0 inf + 64458 89.040 * * [simplify]: Extracting #9: cost 0 inf + 64457 89.072 * [simplify]: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 89.072 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (pow (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))) 1) 1)) 89.072 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 89.072 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 89.072 * [simplify]: Simplifying (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 89.073 * * [simplify]: iters left: 6 (24 enodes) 89.079 * * [simplify]: iters left: 5 (96 enodes) 89.099 * * [simplify]: iters left: 4 (181 enodes) 89.171 * * [simplify]: iters left: 3 (456 enodes) 89.364 * * [simplify]: Extracting #0: cost 1 inf + 0 89.364 * * [simplify]: Extracting #1: cost 35 inf + 0 89.365 * * [simplify]: Extracting #2: cost 79 inf + 0 89.365 * * [simplify]: Extracting #3: cost 78 inf + 215 89.366 * * [simplify]: Extracting #4: cost 80 inf + 650 89.367 * * [simplify]: Extracting #5: cost 142 inf + 651 89.369 * * [simplify]: Extracting #6: cost 249 inf + 1022 89.375 * * [simplify]: Extracting #7: cost 177 inf + 16512 89.401 * * [simplify]: Extracting #8: cost 52 inf + 49801 89.437 * * [simplify]: Extracting #9: cost 6 inf + 75330 89.478 * * [simplify]: Extracting #10: cost 0 inf + 79962 89.520 * [simplify]: Simplified to (+ (+ (+ (+ (log -2) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))) 89.520 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (+ (+ (+ (log -2) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))))))) 1)) 89.520 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 89.520 * [simplify]: Simplifying (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 89.521 * * [simplify]: iters left: 6 (24 enodes) 89.533 * * [simplify]: iters left: 5 (96 enodes) 89.567 * * [simplify]: iters left: 4 (178 enodes) 89.635 * * [simplify]: iters left: 3 (431 enodes) 89.772 * * [simplify]: Extracting #0: cost 1 inf + 0 89.772 * * [simplify]: Extracting #1: cost 31 inf + 0 89.772 * * [simplify]: Extracting #2: cost 77 inf + 0 89.773 * * [simplify]: Extracting #3: cost 78 inf + 215 89.774 * * [simplify]: Extracting #4: cost 80 inf + 650 89.775 * * [simplify]: Extracting #5: cost 142 inf + 651 89.777 * * [simplify]: Extracting #6: cost 249 inf + 1122 89.783 * * [simplify]: Extracting #7: cost 182 inf + 16507 89.803 * * [simplify]: Extracting #8: cost 53 inf + 49518 89.839 * * [simplify]: Extracting #9: cost 7 inf + 76782 89.882 * * [simplify]: Extracting #10: cost 0 inf + 79790 89.903 * * [simplify]: Extracting #11: cost 0 inf + 78670 89.940 * [simplify]: Simplified to (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2))))))))) 89.940 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))))) 1)) 89.940 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 89.940 * [simplify]: Simplifying (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (log (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 89.941 * * [simplify]: iters left: 6 (24 enodes) 89.947 * * [simplify]: iters left: 5 (96 enodes) 89.966 * * [simplify]: iters left: 4 (173 enodes) 90.007 * * [simplify]: iters left: 3 (403 enodes) 90.179 * * [simplify]: Extracting #0: cost 1 inf + 0 90.179 * * [simplify]: Extracting #1: cost 33 inf + 0 90.180 * * [simplify]: Extracting #2: cost 78 inf + 0 90.180 * * [simplify]: Extracting #3: cost 80 inf + 215 90.180 * * [simplify]: Extracting #4: cost 83 inf + 468 90.181 * * [simplify]: Extracting #5: cost 144 inf + 651 90.182 * * [simplify]: Extracting #6: cost 251 inf + 1022 90.184 * * [simplify]: Extracting #7: cost 188 inf + 14133 90.194 * * [simplify]: Extracting #8: cost 51 inf + 50597 90.215 * * [simplify]: Extracting #9: cost 33 inf + 58069 90.233 * * [simplify]: Extracting #10: cost 9 inf + 73700 90.258 * * [simplify]: Extracting #11: cost 0 inf + 79771 90.280 * [simplify]: Simplified to (+ (+ (log -2) (+ (log J) (log (* (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2))))) 90.280 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (+ (log -2) (+ (log J) (log (* (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (log (cbrt (cos (/ K 2)))))) 1)) 90.281 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 90.281 * [simplify]: Simplifying (+ (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 90.281 * * [simplify]: iters left: 6 (23 enodes) 90.287 * * [simplify]: iters left: 5 (94 enodes) 90.303 * * [simplify]: iters left: 4 (172 enodes) 90.351 * * [simplify]: iters left: 3 (411 enodes) 90.512 * * [simplify]: Extracting #0: cost 1 inf + 0 90.512 * * [simplify]: Extracting #1: cost 31 inf + 0 90.513 * * [simplify]: Extracting #2: cost 74 inf + 0 90.514 * * [simplify]: Extracting #3: cost 76 inf + 73 90.514 * * [simplify]: Extracting #4: cost 75 inf + 523 90.515 * * [simplify]: Extracting #5: cost 136 inf + 595 90.518 * * [simplify]: Extracting #6: cost 240 inf + 1362 90.525 * * [simplify]: Extracting #7: cost 178 inf + 18170 90.545 * * [simplify]: Extracting #8: cost 49 inf + 48268 90.574 * * [simplify]: Extracting #9: cost 27 inf + 56602 90.603 * * [simplify]: Extracting #10: cost 5 inf + 71993 90.626 * * [simplify]: Extracting #11: cost 0 inf + 75391 90.665 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))))))) (+ (log (* -2 J)) (log (cbrt (cos (/ K 2)))))) 90.665 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))))))) (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))))) 1)) 90.665 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 90.666 * [simplify]: Simplifying (+ (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))) (+ (log (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 90.666 * * [simplify]: iters left: 6 (23 enodes) 90.679 * * [simplify]: iters left: 5 (94 enodes) 90.706 * * [simplify]: iters left: 4 (169 enodes) 90.738 * * [simplify]: iters left: 3 (396 enodes) 90.869 * * [simplify]: Extracting #0: cost 1 inf + 0 90.870 * * [simplify]: Extracting #1: cost 30 inf + 0 90.870 * * [simplify]: Extracting #2: cost 72 inf + 0 90.870 * * [simplify]: Extracting #3: cost 76 inf + 73 90.871 * * [simplify]: Extracting #4: cost 75 inf + 523 90.871 * * [simplify]: Extracting #5: cost 136 inf + 595 90.872 * * [simplify]: Extracting #6: cost 238 inf + 1587 90.876 * * [simplify]: Extracting #7: cost 158 inf + 21299 90.896 * * [simplify]: Extracting #8: cost 42 inf + 50901 90.917 * * [simplify]: Extracting #9: cost 6 inf + 70550 90.938 * * [simplify]: Extracting #10: cost 0 inf + 74524 90.958 * [simplify]: Simplified to (+ (log (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (cbrt (cos (/ K 2))))) (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))) 90.958 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (log (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (cbrt (cos (/ K 2))))) (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 1)) 90.958 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 90.958 * [simplify]: Simplifying (+ (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))) (log (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 90.958 * * [simplify]: iters left: 6 (23 enodes) 90.966 * * [simplify]: iters left: 5 (94 enodes) 90.982 * * [simplify]: iters left: 4 (166 enodes) 91.013 * * [simplify]: iters left: 3 (377 enodes) 91.138 * * [simplify]: Extracting #0: cost 1 inf + 0 91.138 * * [simplify]: Extracting #1: cost 29 inf + 0 91.139 * * [simplify]: Extracting #2: cost 77 inf + 0 91.139 * * [simplify]: Extracting #3: cost 82 inf + 73 91.140 * * [simplify]: Extracting #4: cost 80 inf + 594 91.141 * * [simplify]: Extracting #5: cost 142 inf + 595 91.144 * * [simplify]: Extracting #6: cost 245 inf + 1504 91.152 * * [simplify]: Extracting #7: cost 162 inf + 24510 91.182 * * [simplify]: Extracting #8: cost 21 inf + 67022 91.215 * * [simplify]: Extracting #9: cost 0 inf + 77348 91.244 * * [simplify]: Extracting #10: cost 0 inf + 77278 91.283 * [simplify]: Simplified to (+ (log (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (* -2 J)) (log (cbrt (cos (/ K 2)))))) 91.283 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (log (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))))) 1)) 91.283 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 91.284 * [simplify]: Simplifying (+ (log (* (* -2 J) (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 91.284 * * [simplify]: iters left: 6 (23 enodes) 91.296 * * [simplify]: iters left: 5 (93 enodes) 91.327 * * [simplify]: iters left: 4 (170 enodes) 91.363 * * [simplify]: iters left: 3 (394 enodes) 91.532 * * [simplify]: Extracting #0: cost 1 inf + 0 91.532 * * [simplify]: Extracting #1: cost 40 inf + 0 91.533 * * [simplify]: Extracting #2: cost 88 inf + 0 91.533 * * [simplify]: Extracting #3: cost 94 inf + 2 91.534 * * [simplify]: Extracting #4: cost 94 inf + 411 91.535 * * [simplify]: Extracting #5: cost 154 inf + 595 91.537 * * [simplify]: Extracting #6: cost 252 inf + 2574 91.546 * * [simplify]: Extracting #7: cost 159 inf + 23596 91.569 * * [simplify]: Extracting #8: cost 40 inf + 59052 91.609 * * [simplify]: Extracting #9: cost 4 inf + 81867 91.649 * * [simplify]: Extracting #10: cost 0 inf + 84661 91.688 * [simplify]: Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1))) (+ (log (* (cbrt (cos (/ K 2))) (* -2 J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))) 91.688 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (log (sqrt (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1))) (+ (log (* (cbrt (cos (/ K 2))) (* -2 J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 1)) 91.689 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 91.689 * [simplify]: Simplifying (+ (log (* (* -2 J) (cbrt (cos (/ K 2))))) (+ (log (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 91.689 * * [simplify]: iters left: 6 (23 enodes) 91.701 * * [simplify]: iters left: 5 (93 enodes) 91.718 * * [simplify]: iters left: 4 (168 enodes) 91.763 * * [simplify]: iters left: 3 (382 enodes) 91.904 * * [simplify]: Extracting #0: cost 1 inf + 0 91.904 * * [simplify]: Extracting #1: cost 32 inf + 0 91.904 * * [simplify]: Extracting #2: cost 76 inf + 0 91.905 * * [simplify]: Extracting #3: cost 84 inf + 2 91.906 * * [simplify]: Extracting #4: cost 85 inf + 299 91.907 * * [simplify]: Extracting #5: cost 144 inf + 595 91.909 * * [simplify]: Extracting #6: cost 247 inf + 2162 91.916 * * [simplify]: Extracting #7: cost 170 inf + 19288 91.941 * * [simplify]: Extracting #8: cost 44 inf + 50765 91.972 * * [simplify]: Extracting #9: cost 12 inf + 69926 92.009 * * [simplify]: Extracting #10: cost 0 inf + 77800 92.047 * * [simplify]: Extracting #11: cost 0 inf + 77730 92.084 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (cos (/ K 2))) (* -2 J))) (log (cbrt (cos (/ K 2)))))) (log (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1)))) 92.084 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (cos (/ K 2))) (* -2 J))) (log (cbrt (cos (/ K 2)))))) (log (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)) 1))))) 1)) 92.085 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 92.085 * [simplify]: Simplifying (+ (log (* (* -2 J) (cbrt (cos (/ K 2))))) (log (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 92.085 * * [simplify]: iters left: 6 (22 enodes) 92.099 * * [simplify]: iters left: 5 (91 enodes) 92.130 * * [simplify]: iters left: 4 (167 enodes) 92.188 * * [simplify]: iters left: 3 (368 enodes) 92.375 * * [simplify]: Extracting #0: cost 1 inf + 0 92.376 * * [simplify]: Extracting #1: cost 36 inf + 0 92.376 * * [simplify]: Extracting #2: cost 86 inf + 0 92.377 * * [simplify]: Extracting #3: cost 95 inf + 2 92.378 * * [simplify]: Extracting #4: cost 95 inf + 411 92.378 * * [simplify]: Extracting #5: cost 155 inf + 595 92.381 * * [simplify]: Extracting #6: cost 252 inf + 2868 92.390 * * [simplify]: Extracting #7: cost 147 inf + 27377 92.411 * * [simplify]: Extracting #8: cost 45 inf + 55361 92.446 * * [simplify]: Extracting #9: cost 8 inf + 80922 92.468 * * [simplify]: Extracting #10: cost 0 inf + 84757 92.497 * * [simplify]: Extracting #11: cost 0 inf + 84117 92.533 * [simplify]: Simplified to (+ (log (* (cbrt (cos (/ K 2))) (* -2 J))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))))) 92.533 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (exp (+ (log (* (cbrt (cos (/ K 2))) (* -2 J))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)))))) 1)) 92.533 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 92.533 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 92.534 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 92.534 * [simplify]: Simplifying (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (cos (/ K 2))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cos (/ K 2))) (cos (/ K 2)))) 92.534 * * [simplify]: iters left: 6 (25 enodes) 92.550 * * [simplify]: iters left: 5 (108 enodes) 92.576 * * [simplify]: iters left: 4 (264 enodes) 92.670 * * [simplify]: Extracting #0: cost 1 inf + 0 92.670 * * [simplify]: Extracting #1: cost 50 inf + 0 92.671 * * [simplify]: Extracting #2: cost 214 inf + 289 92.673 * * [simplify]: Extracting #3: cost 228 inf + 1397 92.676 * * [simplify]: Extracting #4: cost 251 inf + 2027 92.679 * * [simplify]: Extracting #5: cost 278 inf + 3945 92.690 * * [simplify]: Extracting #6: cost 208 inf + 18317 92.710 * * [simplify]: Extracting #7: cost 109 inf + 50546 92.753 * * [simplify]: Extracting #8: cost 11 inf + 102422 92.783 * * [simplify]: Extracting #9: cost 0 inf + 108020 92.829 * [simplify]: Simplified to (* (* (* J J) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) -8))) 92.829 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (* J J) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) -8)))) 1)) 92.829 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 92.829 * [simplify]: Simplifying (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (cos (/ K 2))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (cos (/ K 2)))) 92.829 * * [simplify]: iters left: 6 (26 enodes) 92.840 * * [simplify]: iters left: 5 (120 enodes) 92.879 * * [simplify]: iters left: 4 (299 enodes) 93.058 * * [simplify]: Extracting #0: cost 1 inf + 0 93.058 * * [simplify]: Extracting #1: cost 72 inf + 0 93.060 * * [simplify]: Extracting #2: cost 284 inf + 125 93.062 * * [simplify]: Extracting #3: cost 289 inf + 1111 93.065 * * [simplify]: Extracting #4: cost 304 inf + 1943 93.070 * * [simplify]: Extracting #5: cost 335 inf + 4669 93.078 * * [simplify]: Extracting #6: cost 246 inf + 24286 93.101 * * [simplify]: Extracting #7: cost 175 inf + 49427 93.143 * * [simplify]: Extracting #8: cost 86 inf + 105345 93.209 * * [simplify]: Extracting #9: cost 0 inf + 160151 93.280 * * [simplify]: Extracting #10: cost 0 inf + 160111 93.336 * [simplify]: Simplified to (* (* -8 (* J J)) (* J (* (* (* (* (cbrt (cos (/ K 2))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cos (/ K 2)))))) 93.336 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* -8 (* J J)) (* J (* (* (* (* (cbrt (cos (/ K 2))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cos (/ K 2))))))) 1)) 93.336 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 93.337 * [simplify]: Simplifying (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (cos (/ K 2))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 93.337 * * [simplify]: iters left: 6 (26 enodes) 93.345 * * [simplify]: iters left: 5 (119 enodes) 93.378 * * [simplify]: iters left: 4 (319 enodes) 93.509 * * [simplify]: Extracting #0: cost 1 inf + 0 93.509 * * [simplify]: Extracting #1: cost 66 inf + 0 93.511 * * [simplify]: Extracting #2: cost 305 inf + 3 93.513 * * [simplify]: Extracting #3: cost 314 inf + 864 93.517 * * [simplify]: Extracting #4: cost 324 inf + 2027 93.521 * * [simplify]: Extracting #5: cost 354 inf + 5142 93.532 * * [simplify]: Extracting #6: cost 247 inf + 28845 93.572 * * [simplify]: Extracting #7: cost 124 inf + 100726 93.647 * * [simplify]: Extracting #8: cost 1 inf + 182572 93.703 * * [simplify]: Extracting #9: cost 0 inf + 183317 93.763 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (* -8 J) (* J J))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) 93.763 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (cos (/ K 2)) (* (* -8 J) (* J J))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) 1)) 93.764 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 93.764 * [simplify]: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (cos (/ K 2))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cos (/ K 2))) (cos (/ K 2)))) 93.765 * * [simplify]: iters left: 6 (23 enodes) 93.778 * * [simplify]: iters left: 5 (105 enodes) 93.818 * * [simplify]: iters left: 4 (264 enodes) 93.913 * * [simplify]: Extracting #0: cost 1 inf + 0 93.913 * * [simplify]: Extracting #1: cost 55 inf + 0 93.914 * * [simplify]: Extracting #2: cost 237 inf + 2 93.916 * * [simplify]: Extracting #3: cost 242 inf + 1279 93.920 * * [simplify]: Extracting #4: cost 240 inf + 6284 93.933 * * [simplify]: Extracting #5: cost 230 inf + 17408 93.949 * * [simplify]: Extracting #6: cost 119 inf + 51986 93.972 * * [simplify]: Extracting #7: cost 22 inf + 101827 94.008 * * [simplify]: Extracting #8: cost 0 inf + 113311 94.067 * * [simplify]: Extracting #9: cost 0 inf + 113271 94.104 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* -8 (* J J))) (* (cos (/ K 2)) J)) (cos (/ K 2))) 94.105 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (* (* (cos (/ K 2)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* -8 (* J J))) (* (cos (/ K 2)) J)) (cos (/ K 2)))) 1)) 94.105 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 94.105 * [simplify]: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (cos (/ K 2))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (cos (/ K 2)))) 94.105 * * [simplify]: iters left: 6 (24 enodes) 94.113 * * [simplify]: iters left: 5 (117 enodes) 94.144 * * [simplify]: iters left: 4 (299 enodes) 94.265 * * [simplify]: Extracting #0: cost 1 inf + 0 94.265 * * [simplify]: Extracting #1: cost 59 inf + 0 94.266 * * [simplify]: Extracting #2: cost 279 inf + 1 94.267 * * [simplify]: Extracting #3: cost 289 inf + 1483 94.269 * * [simplify]: Extracting #4: cost 278 inf + 6638 94.273 * * [simplify]: Extracting #5: cost 274 inf + 18431 94.281 * * [simplify]: Extracting #6: cost 192 inf + 42371 94.312 * * [simplify]: Extracting #7: cost 92 inf + 99733 94.375 * * [simplify]: Extracting #8: cost 0 inf + 160351 94.464 * * [simplify]: Extracting #9: cost 0 inf + 160271 94.521 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (* -8 (* J J))) 94.521 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (* (cos (/ K 2)) J) (* (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (* -8 (* J J)))) 1)) 94.522 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 94.522 * [simplify]: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (cos (/ K 2))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 94.523 * * [simplify]: iters left: 6 (24 enodes) 94.536 * * [simplify]: iters left: 5 (116 enodes) 94.582 * * [simplify]: iters left: 4 (319 enodes) 94.705 * * [simplify]: Extracting #0: cost 1 inf + 0 94.706 * * [simplify]: Extracting #1: cost 63 inf + 0 94.707 * * [simplify]: Extracting #2: cost 308 inf + 1 94.710 * * [simplify]: Extracting #3: cost 317 inf + 988 94.715 * * [simplify]: Extracting #4: cost 306 inf + 6086 94.729 * * [simplify]: Extracting #5: cost 309 inf + 17495 94.745 * * [simplify]: Extracting #6: cost 229 inf + 41245 94.802 * * [simplify]: Extracting #7: cost 96 inf + 119767 94.905 * * [simplify]: Extracting #8: cost 0 inf + 183037 94.982 * * [simplify]: Extracting #9: cost 0 inf + 182917 95.086 * [simplify]: Simplified to (* (* (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* -8 (* J J))) (* (cos (/ K 2)) J)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 95.086 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* -8 (* J J))) (* (cos (/ K 2)) J)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 95.087 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 95.087 * [simplify]: Simplifying (* (* (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* -2 J) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cos (/ K 2))))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cos (/ K 2))) (cos (/ K 2)))) 95.088 * * [simplify]: iters left: 6 (24 enodes) 95.095 * * [simplify]: iters left: 5 (107 enodes) 95.123 * * [simplify]: iters left: 4 (311 enodes) 95.320 * * [simplify]: Extracting #0: cost 1 inf + 0 95.320 * * [simplify]: Extracting #1: cost 65 inf + 0 95.321 * * [simplify]: Extracting #2: cost 365 inf + 1 95.323 * * [simplify]: Extracting #3: cost 401 inf + 255 95.327 * * [simplify]: Extracting #4: cost 354 inf + 20307 95.341 * * [simplify]: Extracting #5: cost 242 inf + 73206 95.385 * * [simplify]: Extracting #6: cost 59 inf + 158562 95.439 * * [simplify]: Extracting #7: cost 0 inf + 197129 95.512 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (cbrt (cos (/ K 2))) (* -2 J))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2)))) 95.512 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (cos (/ K 2)) (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (cbrt (cos (/ K 2))) (* -2 J))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2))))) 1)) 95.512 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 95.512 * [simplify]: Simplifying (* (* (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* -2 J) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cos (/ K 2))))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (cos (/ K 2)))) 95.513 * * [simplify]: iters left: 6 (24 enodes) 95.520 * * [simplify]: iters left: 5 (115 enodes) 95.553 * * [simplify]: iters left: 4 (339 enodes) 95.737 * * [simplify]: Extracting #0: cost 1 inf + 0 95.737 * * [simplify]: Extracting #1: cost 77 inf + 0 95.739 * * [simplify]: Extracting #2: cost 394 inf + 1 95.743 * * [simplify]: Extracting #3: cost 421 inf + 963 95.751 * * [simplify]: Extracting #4: cost 365 inf + 22655 95.773 * * [simplify]: Extracting #5: cost 311 inf + 59788 95.827 * * [simplify]: Extracting #6: cost 163 inf + 130136 95.929 * * [simplify]: Extracting #7: cost 7 inf + 229073 96.039 * * [simplify]: Extracting #8: cost 0 inf + 232012 96.126 * [simplify]: Simplified to (* (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cbrt (cos (/ K 2))) (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 96.126 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cbrt (cos (/ K 2))) (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 1)) 96.126 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 96.126 * [simplify]: Simplifying (* (* (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* -2 J) (cbrt (cos (/ K 2))))) (* (* -2 J) (cbrt (cos (/ K 2))))) (* (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 96.127 * * [simplify]: iters left: 6 (24 enodes) 96.137 * * [simplify]: iters left: 5 (114 enodes) 96.166 * * [simplify]: iters left: 4 (356 enodes) 96.385 * * [simplify]: Extracting #0: cost 1 inf + 0 96.386 * * [simplify]: Extracting #1: cost 64 inf + 0 96.387 * * [simplify]: Extracting #2: cost 347 inf + 0 96.389 * * [simplify]: Extracting #3: cost 372 inf + 211 96.390 * * [simplify]: Extracting #4: cost 390 inf + 1498 96.396 * * [simplify]: Extracting #5: cost 351 inf + 28288 96.439 * * [simplify]: Extracting #6: cost 130 inf + 128406 96.540 * * [simplify]: Extracting #7: cost 7 inf + 209967 96.644 * * [simplify]: Extracting #8: cost 0 inf + 214427 96.776 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (cbrt (cos (/ K 2))) (* -2 J))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) 96.776 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (cbrt (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (cbrt (cos (/ K 2))) (* -2 J))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) 1)) 96.776 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 96.776 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 96.776 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 96.776 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 96.777 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 96.777 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 96.777 * * [simplify]: iters left: 4 (5 enodes) 96.780 * * [simplify]: iters left: 3 (15 enodes) 96.784 * * [simplify]: Extracting #0: cost 1 inf + 0 96.784 * * [simplify]: Extracting #1: cost 3 inf + 0 96.784 * * [simplify]: Extracting #2: cost 5 inf + 0 96.784 * * [simplify]: Extracting #3: cost 8 inf + 0 96.784 * * [simplify]: Extracting #4: cost 6 inf + 2 96.785 * * [simplify]: Extracting #5: cost 0 inf + 654 96.785 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 96.785 * [simplify]: Simplified (2 1 2) to (λ (J K U) (pow (* (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1)) 96.785 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 96.785 * [simplify]: Simplifying (* -2 J) 96.785 * * [simplify]: iters left: 2 (3 enodes) 96.787 * * [simplify]: iters left: 1 (10 enodes) 96.790 * * [simplify]: Extracting #0: cost 1 inf + 0 96.790 * * [simplify]: Extracting #1: cost 4 inf + 0 96.790 * * [simplify]: Extracting #2: cost 2 inf + 2 96.790 * * [simplify]: Extracting #3: cost 0 inf + 86 96.790 * [simplify]: Simplified to (* -2 J) 96.790 * [simplify]: Simplified (2 1 1) to (λ (J K U) (pow (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 1)) 96.791 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 96.791 * [simplify]: Simplifying (sqrt (+ (* 1 1) (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) 96.791 * * [simplify]: iters left: 6 (17 enodes) 96.800 * * [simplify]: iters left: 5 (64 enodes) 96.823 * * [simplify]: iters left: 4 (156 enodes) 96.869 * * [simplify]: Extracting #0: cost 1 inf + 0 96.869 * * [simplify]: Extracting #1: cost 3 inf + 0 96.869 * * [simplify]: Extracting #2: cost 13 inf + 0 96.869 * * [simplify]: Extracting #3: cost 79 inf + 1 96.870 * * [simplify]: Extracting #4: cost 177 inf + 46 96.871 * * [simplify]: Extracting #5: cost 161 inf + 1409 96.872 * * [simplify]: Extracting #6: cost 125 inf + 6715 96.877 * * [simplify]: Extracting #7: cost 55 inf + 28085 96.886 * * [simplify]: Extracting #8: cost 7 inf + 43204 96.904 * * [simplify]: Extracting #9: cost 0 inf + 44697 96.924 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) 96.924 * [simplify]: Simplified (2 1 2) to (λ (J K U) (pow (/ (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ (pow 1 3) (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) 1)) 96.924 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 96.925 * [simplify]: Simplifying (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 96.925 * * [simplify]: iters left: 6 (13 enodes) 96.928 * * [simplify]: iters left: 5 (51 enodes) 96.937 * * [simplify]: iters left: 4 (99 enodes) 96.957 * * [simplify]: iters left: 3 (292 enodes) 97.103 * * [simplify]: Extracting #0: cost 1 inf + 0 97.103 * * [simplify]: Extracting #1: cost 3 inf + 0 97.103 * * [simplify]: Extracting #2: cost 7 inf + 0 97.103 * * [simplify]: Extracting #3: cost 108 inf + 1 97.106 * * [simplify]: Extracting #4: cost 273 inf + 701 97.110 * * [simplify]: Extracting #5: cost 237 inf + 6021 97.119 * * [simplify]: Extracting #6: cost 158 inf + 22747 97.145 * * [simplify]: Extracting #7: cost 10 inf + 61685 97.173 * * [simplify]: Extracting #8: cost 0 inf + 64125 97.190 * [simplify]: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 97.190 * [simplify]: Simplified (2 1 2) to (λ (J K U) (pow (/ (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (- (* 1 1) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 1)) 97.190 * * * * [progress]: [ 39 / 92 ] simplifiying candidate #real (real->posit16 (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) 1))> 97.190 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 97.190 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 97.190 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 97.190 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 97.190 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 97.190 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 97.190 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 97.191 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 97.191 * [simplify]: Simplifying (sqrt (* (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) 97.191 * * [simplify]: iters left: 6 (15 enodes) 97.195 * * [simplify]: iters left: 5 (57 enodes) 97.208 * * [simplify]: iters left: 4 (95 enodes) 97.244 * * [simplify]: iters left: 3 (239 enodes) 97.351 * * [simplify]: Extracting #0: cost 1 inf + 0 97.351 * * [simplify]: Extracting #1: cost 4 inf + 0 97.351 * * [simplify]: Extracting #2: cost 7 inf + 0 97.351 * * [simplify]: Extracting #3: cost 10 inf + 0 97.351 * * [simplify]: Extracting #4: cost 72 inf + 1 97.351 * * [simplify]: Extracting #5: cost 184 inf + 46 97.353 * * [simplify]: Extracting #6: cost 172 inf + 2513 97.355 * * [simplify]: Extracting #7: cost 117 inf + 11275 97.364 * * [simplify]: Extracting #8: cost 12 inf + 38093 97.373 * * [simplify]: Extracting #9: cost 0 inf + 41500 97.389 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) 97.389 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ U J) (* 2 (cos (/ K 2)))) (/ (/ U J) (* 2 (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 97.390 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 97.390 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 97.390 * * [simplify]: iters left: 6 (14 enodes) 97.395 * * [simplify]: iters left: 5 (53 enodes) 97.406 * * [simplify]: iters left: 4 (91 enodes) 97.427 * * [simplify]: iters left: 3 (235 enodes) 97.526 * * [simplify]: Extracting #0: cost 1 inf + 0 97.527 * * [simplify]: Extracting #1: cost 3 inf + 0 97.527 * * [simplify]: Extracting #2: cost 5 inf + 0 97.527 * * [simplify]: Extracting #3: cost 8 inf + 0 97.527 * * [simplify]: Extracting #4: cost 70 inf + 1 97.527 * * [simplify]: Extracting #5: cost 181 inf + 88 97.528 * * [simplify]: Extracting #6: cost 165 inf + 2923 97.532 * * [simplify]: Extracting #7: cost 114 inf + 12001 97.540 * * [simplify]: Extracting #8: cost 18 inf + 35899 97.549 * * [simplify]: Extracting #9: cost 0 inf + 40530 97.567 * * [simplify]: Extracting #10: cost 0 inf + 40490 97.576 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) 97.576 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (* (sqrt (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 97.576 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 97.576 * [simplify]: Simplifying (sqrt 1) 97.576 * * [simplify]: iters left: 1 (2 enodes) 97.578 * * [simplify]: Extracting #0: cost 1 inf + 0 97.578 * * [simplify]: Extracting #1: cost 0 inf + 1 97.578 * [simplify]: Simplified to 1 97.579 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (* 1 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 97.579 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 97.579 * [simplify]: Simplifying (sqrt (+ (pow 1 3) (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) 97.579 * * [simplify]: iters left: 6 (16 enodes) 97.587 * * [simplify]: iters left: 5 (68 enodes) 97.607 * * [simplify]: iters left: 4 (159 enodes) 97.667 * * [simplify]: Extracting #0: cost 1 inf + 0 97.667 * * [simplify]: Extracting #1: cost 3 inf + 0 97.668 * * [simplify]: Extracting #2: cost 6 inf + 0 97.668 * * [simplify]: Extracting #3: cost 39 inf + 1 97.668 * * [simplify]: Extracting #4: cost 179 inf + 3 97.670 * * [simplify]: Extracting #5: cost 203 inf + 970 97.672 * * [simplify]: Extracting #6: cost 175 inf + 4491 97.677 * * [simplify]: Extracting #7: cost 136 inf + 15622 97.697 * * [simplify]: Extracting #8: cost 12 inf + 57467 97.710 * * [simplify]: Extracting #9: cost 0 inf + 60730 97.724 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) 97.724 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (sqrt (+ (* 1 1) (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 97.724 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 97.725 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 97.725 * * [simplify]: iters left: 6 (15 enodes) 97.733 * * [simplify]: iters left: 5 (59 enodes) 97.755 * * [simplify]: iters left: 4 (139 enodes) 97.841 * * [simplify]: Extracting #0: cost 1 inf + 0 97.841 * * [simplify]: Extracting #1: cost 3 inf + 0 97.841 * * [simplify]: Extracting #2: cost 7 inf + 0 97.842 * * [simplify]: Extracting #3: cost 56 inf + 1 97.842 * * [simplify]: Extracting #4: cost 176 inf + 3 97.844 * * [simplify]: Extracting #5: cost 192 inf + 338 97.850 * * [simplify]: Extracting #6: cost 105 inf + 19380 97.861 * * [simplify]: Extracting #7: cost 11 inf + 48963 97.873 * * [simplify]: Extracting #8: cost 0 inf + 52907 97.884 * [simplify]: Simplified to (sqrt (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 97.884 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (/ (sqrt (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 97.884 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 97.885 * [simplify]: Simplifying (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 97.885 * * [simplify]: iters left: 6 (12 enodes) 97.891 * * [simplify]: iters left: 5 (47 enodes) 97.906 * * [simplify]: iters left: 4 (85 enodes) 97.944 * * [simplify]: iters left: 3 (226 enodes) 98.056 * * [simplify]: Extracting #0: cost 1 inf + 0 98.056 * * [simplify]: Extracting #1: cost 4 inf + 0 98.057 * * [simplify]: Extracting #2: cost 66 inf + 1 98.058 * * [simplify]: Extracting #3: cost 179 inf + 4 98.060 * * [simplify]: Extracting #4: cost 168 inf + 2186 98.065 * * [simplify]: Extracting #5: cost 104 inf + 13749 98.076 * * [simplify]: Extracting #6: cost 16 inf + 34931 98.085 * * [simplify]: Extracting #7: cost 0 inf + 39150 98.094 * * [simplify]: Extracting #8: cost 0 inf + 39110 98.109 * * [simplify]: Extracting #9: cost 0 inf + 39070 98.120 * [simplify]: Simplified to (+ 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) 98.120 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (pow (+ 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (/ 1 2)) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 98.120 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 98.120 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 98.121 * [simplify]: Simplifying (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 98.121 * * [simplify]: iters left: 6 (13 enodes) 98.124 * * [simplify]: iters left: 5 (50 enodes) 98.133 * * [simplify]: iters left: 4 (88 enodes) 98.161 * * [simplify]: iters left: 3 (230 enodes) 98.244 * * [simplify]: Extracting #0: cost 1 inf + 0 98.244 * * [simplify]: Extracting #1: cost 3 inf + 0 98.244 * * [simplify]: Extracting #2: cost 6 inf + 0 98.244 * * [simplify]: Extracting #3: cost 68 inf + 1 98.245 * * [simplify]: Extracting #4: cost 181 inf + 4 98.246 * * [simplify]: Extracting #5: cost 171 inf + 2063 98.249 * * [simplify]: Extracting #6: cost 105 inf + 13792 98.257 * * [simplify]: Extracting #7: cost 10 inf + 37319 98.269 * * [simplify]: Extracting #8: cost 0 inf + 39760 98.278 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 98.278 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 98.278 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 98.278 * * * * [progress]: [ 56 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1))> 98.278 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 98.278 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 98.278 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 98.279 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 98.279 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 98.279 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 98.279 * * [simplify]: iters left: 6 (7 enodes) 98.281 * * [simplify]: iters left: 5 (21 enodes) 98.284 * * [simplify]: Extracting #0: cost 1 inf + 0 98.284 * * [simplify]: Extracting #1: cost 3 inf + 0 98.284 * * [simplify]: Extracting #2: cost 5 inf + 0 98.284 * * [simplify]: Extracting #3: cost 7 inf + 0 98.284 * * [simplify]: Extracting #4: cost 9 inf + 0 98.284 * * [simplify]: Extracting #5: cost 12 inf + 0 98.284 * * [simplify]: Extracting #6: cost 10 inf + 2 98.284 * * [simplify]: Extracting #7: cost 1 inf + 1400 98.284 * * [simplify]: Extracting #8: cost 0 inf + 1702 98.285 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 98.285 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) 1)) 98.285 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 98.285 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 98.285 * * [simplify]: iters left: 5 (6 enodes) 98.287 * * [simplify]: iters left: 4 (18 enodes) 98.289 * * [simplify]: Extracting #0: cost 1 inf + 0 98.289 * * [simplify]: Extracting #1: cost 3 inf + 0 98.289 * * [simplify]: Extracting #2: cost 5 inf + 0 98.289 * * [simplify]: Extracting #3: cost 7 inf + 0 98.289 * * [simplify]: Extracting #4: cost 10 inf + 0 98.289 * * [simplify]: Extracting #5: cost 8 inf + 2 98.289 * * [simplify]: Extracting #6: cost 0 inf + 1018 98.290 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 98.290 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) 1)) 98.290 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 98.290 * [simplify]: Simplifying (cbrt 1) 98.290 * * [simplify]: iters left: 1 (2 enodes) 98.292 * * [simplify]: Extracting #0: cost 1 inf + 0 98.292 * * [simplify]: Extracting #1: cost 0 inf + 1 98.292 * [simplify]: Simplified to 1 98.292 * [simplify]: Simplified (2 1 2 2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (* 1 (cbrt (cos (/ K 2)))))) 1)) 98.292 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 68 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))))) 1))> 98.292 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 98.292 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 98.293 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 98.293 * * [simplify]: iters left: 6 (7 enodes) 98.294 * * [simplify]: iters left: 5 (21 enodes) 98.298 * * [simplify]: Extracting #0: cost 1 inf + 0 98.298 * * [simplify]: Extracting #1: cost 3 inf + 0 98.298 * * [simplify]: Extracting #2: cost 5 inf + 0 98.298 * * [simplify]: Extracting #3: cost 7 inf + 0 98.298 * * [simplify]: Extracting #4: cost 9 inf + 0 98.298 * * [simplify]: Extracting #5: cost 12 inf + 0 98.298 * * [simplify]: Extracting #6: cost 10 inf + 2 98.298 * * [simplify]: Extracting #7: cost 1 inf + 1400 98.299 * * [simplify]: Extracting #8: cost 0 inf + 1702 98.299 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 98.299 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) 1)) 98.299 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 98.300 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 98.300 * * [simplify]: iters left: 5 (6 enodes) 98.306 * * [simplify]: iters left: 4 (18 enodes) 98.311 * * [simplify]: Extracting #0: cost 1 inf + 0 98.312 * * [simplify]: Extracting #1: cost 3 inf + 0 98.312 * * [simplify]: Extracting #2: cost 5 inf + 0 98.312 * * [simplify]: Extracting #3: cost 7 inf + 0 98.312 * * [simplify]: Extracting #4: cost 10 inf + 0 98.312 * * [simplify]: Extracting #5: cost 8 inf + 2 98.312 * * [simplify]: Extracting #6: cost 0 inf + 1018 98.312 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 98.312 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) 1)) 98.313 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 98.313 * [simplify]: Simplifying (cbrt 1) 98.313 * * [simplify]: iters left: 1 (2 enodes) 98.316 * * [simplify]: Extracting #0: cost 1 inf + 0 98.316 * * [simplify]: Extracting #1: cost 0 inf + 1 98.316 * [simplify]: Simplified to 1 98.316 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 1 (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) 1)) 98.316 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 98.317 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 98.317 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 98.317 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 98.317 * * * * [progress]: [ 80 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2))))) 1))> 98.317 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 98.317 * [simplify]: Simplifying 0 98.317 * * [simplify]: iters left: 0 (1 enodes) 98.318 * * [simplify]: Extracting #0: cost 1 inf + 0 98.318 * * [simplify]: Extracting #1: cost 0 inf + 1 98.318 * [simplify]: Simplified to 0 98.318 * [simplify]: Simplified (2 1) to (λ (J K U) (pow 0 1)) 98.318 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 98.318 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 98.318 * * [simplify]: iters left: 6 (8 enodes) 98.320 * * [simplify]: iters left: 5 (29 enodes) 98.325 * * [simplify]: iters left: 4 (37 enodes) 98.330 * * [simplify]: iters left: 3 (42 enodes) 98.335 * * [simplify]: Extracting #0: cost 1 inf + 0 98.335 * * [simplify]: Extracting #1: cost 8 inf + 0 98.335 * * [simplify]: Extracting #2: cost 11 inf + 2 98.336 * * [simplify]: Extracting #3: cost 13 inf + 44 98.336 * * [simplify]: Extracting #4: cost 9 inf + 130 98.336 * * [simplify]: Extracting #5: cost 1 inf + 1132 98.336 * * [simplify]: Extracting #6: cost 0 inf + 1316 98.336 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 98.336 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (* K 1/2)) -2) J) 1)) 98.336 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 98.337 * [simplify]: Simplifying (* -2 (* (cos (* 1/2 K)) J)) 98.337 * * [simplify]: iters left: 6 (8 enodes) 98.339 * * [simplify]: iters left: 5 (29 enodes) 98.343 * * [simplify]: iters left: 4 (37 enodes) 98.349 * * [simplify]: iters left: 3 (42 enodes) 98.354 * * [simplify]: Extracting #0: cost 1 inf + 0 98.354 * * [simplify]: Extracting #1: cost 8 inf + 0 98.354 * * [simplify]: Extracting #2: cost 11 inf + 2 98.354 * * [simplify]: Extracting #3: cost 13 inf + 44 98.354 * * [simplify]: Extracting #4: cost 9 inf + 130 98.355 * * [simplify]: Extracting #5: cost 1 inf + 1132 98.355 * * [simplify]: Extracting #6: cost 0 inf + 1316 98.355 * [simplify]: Simplified to (* (* (cos (* K 1/2)) -2) J) 98.355 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (* K 1/2)) -2) J) 1)) 98.355 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 98.355 * [simplify]: Simplifying 1 98.355 * * [simplify]: iters left: 0 (1 enodes) 98.356 * * [simplify]: Extracting #0: cost 1 inf + 0 98.356 * * [simplify]: Extracting #1: cost 0 inf + 1 98.356 * [simplify]: Simplified to 1 98.356 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 98.356 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 98.357 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 98.357 * * [simplify]: iters left: 6 (9 enodes) 98.359 * * [simplify]: iters left: 5 (34 enodes) 98.364 * * [simplify]: iters left: 4 (56 enodes) 98.381 * * [simplify]: iters left: 3 (90 enodes) 98.409 * * [simplify]: iters left: 2 (114 enodes) 98.440 * * [simplify]: iters left: 1 (131 enodes) 98.476 * * [simplify]: Extracting #0: cost 1 inf + 0 98.476 * * [simplify]: Extracting #1: cost 22 inf + 0 98.476 * * [simplify]: Extracting #2: cost 37 inf + 3 98.476 * * [simplify]: Extracting #3: cost 31 inf + 380 98.477 * * [simplify]: Extracting #4: cost 17 inf + 1834 98.479 * * [simplify]: Extracting #5: cost 3 inf + 4117 98.481 * * [simplify]: Extracting #6: cost 0 inf + 4586 98.483 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 98.483 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 98.483 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 98.484 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 98.484 * * [simplify]: iters left: 6 (9 enodes) 98.488 * * [simplify]: iters left: 5 (34 enodes) 98.499 * * [simplify]: iters left: 4 (56 enodes) 98.515 * * [simplify]: iters left: 3 (90 enodes) 98.536 * * [simplify]: iters left: 2 (114 enodes) 98.553 * * [simplify]: iters left: 1 (131 enodes) 98.585 * * [simplify]: Extracting #0: cost 1 inf + 0 98.585 * * [simplify]: Extracting #1: cost 22 inf + 0 98.585 * * [simplify]: Extracting #2: cost 37 inf + 3 98.585 * * [simplify]: Extracting #3: cost 31 inf + 380 98.586 * * [simplify]: Extracting #4: cost 17 inf + 1834 98.588 * * [simplify]: Extracting #5: cost 3 inf + 4117 98.590 * * [simplify]: Extracting #6: cost 0 inf + 4586 98.592 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 98.592 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) 1)) 98.592 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 98.593 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 98.593 * * [simplify]: iters left: 6 (12 enodes) 98.602 * * [simplify]: iters left: 5 (52 enodes) 98.620 * * [simplify]: iters left: 4 (73 enodes) 98.643 * * [simplify]: iters left: 3 (117 enodes) 98.664 * * [simplify]: iters left: 2 (156 enodes) 98.691 * * [simplify]: iters left: 1 (207 enodes) 98.731 * * [simplify]: Extracting #0: cost 1 inf + 0 98.731 * * [simplify]: Extracting #1: cost 18 inf + 0 98.731 * * [simplify]: Extracting #2: cost 39 inf + 2 98.731 * * [simplify]: Extracting #3: cost 43 inf + 213 98.733 * * [simplify]: Extracting #4: cost 14 inf + 3555 98.740 * * [simplify]: Extracting #5: cost 0 inf + 5789 98.743 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 98.743 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)))) 1)) 98.743 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 98.744 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 98.744 * * [simplify]: iters left: 4 (6 enodes) 98.747 * * [simplify]: iters left: 3 (25 enodes) 98.752 * * [simplify]: iters left: 2 (39 enodes) 98.761 * * [simplify]: iters left: 1 (69 enodes) 98.774 * * [simplify]: Extracting #0: cost 1 inf + 0 98.774 * * [simplify]: Extracting #1: cost 9 inf + 0 98.774 * * [simplify]: Extracting #2: cost 23 inf + 1 98.775 * * [simplify]: Extracting #3: cost 23 inf + 5 98.775 * * [simplify]: Extracting #4: cost 20 inf + 8 98.775 * * [simplify]: Extracting #5: cost 9 inf + 2778 98.776 * * [simplify]: Extracting #6: cost 0 inf + 6930 98.776 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 98.776 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (* 1/2 K))))) 1)) 98.776 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 98.777 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 98.777 * * [simplify]: iters left: 4 (6 enodes) 98.779 * * [simplify]: iters left: 3 (25 enodes) 98.787 * * [simplify]: iters left: 2 (39 enodes) 98.803 * * [simplify]: iters left: 1 (69 enodes) 98.819 * * [simplify]: Extracting #0: cost 1 inf + 0 98.819 * * [simplify]: Extracting #1: cost 9 inf + 0 98.819 * * [simplify]: Extracting #2: cost 23 inf + 1 98.819 * * [simplify]: Extracting #3: cost 23 inf + 5 98.819 * * [simplify]: Extracting #4: cost 20 inf + 8 98.820 * * [simplify]: Extracting #5: cost 9 inf + 2778 98.820 * * [simplify]: Extracting #6: cost 0 inf + 6930 98.821 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 98.821 * [simplify]: Simplified (2 1 2 2) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (cbrt (cos (* 1/2 K))))) 1)) 98.821 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 98.821 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 98.821 * * [simplify]: iters left: 6 (12 enodes) 98.826 * * [simplify]: iters left: 5 (52 enodes) 98.838 * * [simplify]: iters left: 4 (73 enodes) 98.858 * * [simplify]: iters left: 3 (117 enodes) 98.895 * * [simplify]: iters left: 2 (156 enodes) 98.924 * * [simplify]: iters left: 1 (207 enodes) 98.967 * * [simplify]: Extracting #0: cost 1 inf + 0 98.968 * * [simplify]: Extracting #1: cost 18 inf + 0 98.968 * * [simplify]: Extracting #2: cost 39 inf + 2 98.968 * * [simplify]: Extracting #3: cost 43 inf + 213 98.969 * * [simplify]: Extracting #4: cost 14 inf + 3555 98.970 * * [simplify]: Extracting #5: cost 0 inf + 5789 98.972 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 98.972 * [simplify]: Simplified (2 1 2 1 2) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))) (cbrt (cos (/ K 2))))) 1)) 98.972 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 98.973 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 98.973 * * [simplify]: iters left: 4 (6 enodes) 98.975 * * [simplify]: iters left: 3 (25 enodes) 98.980 * * [simplify]: iters left: 2 (39 enodes) 98.996 * * [simplify]: iters left: 1 (69 enodes) 99.015 * * [simplify]: Extracting #0: cost 1 inf + 0 99.015 * * [simplify]: Extracting #1: cost 9 inf + 0 99.016 * * [simplify]: Extracting #2: cost 23 inf + 1 99.016 * * [simplify]: Extracting #3: cost 23 inf + 5 99.016 * * [simplify]: Extracting #4: cost 20 inf + 8 99.016 * * [simplify]: Extracting #5: cost 9 inf + 2778 99.017 * * [simplify]: Extracting #6: cost 0 inf + 6930 99.017 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 99.017 * [simplify]: Simplified (2 1 2 1 2) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (* 1/2 K)))) (cbrt (cos (/ K 2))))) 1)) 99.017 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 99.018 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 99.018 * * [simplify]: iters left: 4 (6 enodes) 99.020 * * [simplify]: iters left: 3 (25 enodes) 99.025 * * [simplify]: iters left: 2 (39 enodes) 99.034 * * [simplify]: iters left: 1 (69 enodes) 99.059 * * [simplify]: Extracting #0: cost 1 inf + 0 99.059 * * [simplify]: Extracting #1: cost 9 inf + 0 99.060 * * [simplify]: Extracting #2: cost 23 inf + 1 99.060 * * [simplify]: Extracting #3: cost 23 inf + 5 99.060 * * [simplify]: Extracting #4: cost 20 inf + 8 99.060 * * [simplify]: Extracting #5: cost 9 inf + 2778 99.062 * * [simplify]: Extracting #6: cost 0 inf + 6930 99.063 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 99.063 * [simplify]: Simplified (2 1 2 1 2) to (λ (J K U) (pow (* (* (* -2 J) (cbrt (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (cos (* 1/2 K)))) (cbrt (cos (/ K 2))))) 1)) 99.063 * * * [progress]: adding candidates to table 100.529 * [progress]: [Phase 3 of 3] Extracting. 100.529 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 100.537 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 100.537 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # # #) 100.651 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # # #) 100.755 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # # #) 100.847 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # # #) 100.955 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # # #) 101.101 * * * [regime]: Found split indices: #